%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU213+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 02:19:42 PM UTC 2026
% Result : Theorem 156.22s 20.17s
% Output : CNFRefutation 156.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 707
% Syntax : Number of formulae : 2344 ( 43 unt; 684 def)
% Number of atoms : 10702 (1412 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 14162 (5804 ~;7547 |; 90 &)
% ( 698 <=>; 22 =>; 0 <=; 1 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 692 ( 690 usr; 685 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-5 aty)
% Number of variables : 3346 (3313 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] :
( empty(A)
=> function(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] :
( empty(A)
=> relation(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] :
( ( function(A)
& relation(A) )
=> ! [B,C] :
( ( ~ in(B,relation_dom(A))
=> ( C = apply(A,B)
<=> C = empty_set ) )
& ( in(B,relation_dom(A))
=> ( C = apply(A,B)
<=> in(ordered_pair(B,C),A) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_dom(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ! [C] :
( relation(C)
=> ( C = relation_composition(A,B)
<=> ! [D,E] :
( in(ordered_pair(D,E),C)
<=> ? [F] :
( in(ordered_pair(F,E),B)
& in(ordered_pair(D,F),A) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B] :
( ( relation(B)
& relation(A) )
=> relation(relation_composition(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A] :
? [B] : element(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B] :
( ( relation(B)
& empty(A) )
=> ( relation(relation_composition(B,A))
& empty(relation_composition(B,A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A,B] :
( ( function(B)
& relation(B)
& function(A)
& relation(A) )
=> ( function(relation_composition(A,B))
& relation(relation_composition(A,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [A] :
( ( relation(A)
& ~ empty(A) )
=> ~ empty(relation_dom(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [A] :
( empty(A)
=> ( relation(relation_dom(A))
& empty(relation_dom(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [A,B] :
( ( relation(B)
& empty(A) )
=> ( relation(relation_composition(A,B))
& empty(relation_composition(A,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
? [A] :
( function(A)
& relation(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
? [A] :
( relation(A)
& empty(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
? [A] : empty(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
? [A] :
( relation(A)
& ~ empty(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
? [A] :
( relation_empty_yielding(A)
& relation(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,conjecture,
! [A,B] :
( ( function(B)
& relation(B) )
=> ! [C] :
( ( function(C)
& relation(C) )
=> ( in(A,relation_dom(relation_composition(C,B)))
<=> ( in(apply(C,A),relation_dom(B))
& in(A,relation_dom(C)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [A,B] :
( ( function(B)
& relation(B) )
=> ! [C] :
( ( function(C)
& relation(C) )
=> ( in(A,relation_dom(relation_composition(C,B)))
<=> ( in(apply(C,A),relation_dom(B))
& in(A,relation_dom(C)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,axiom,
! [A,B] :
( element(A,B)
=> ( in(A,B)
| empty(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [A] :
( empty(A)
=> A = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [A,B] :
~ ( empty(B)
& in(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [A,B] :
~ ( empty(B)
& A != B
& empty(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,plain,
! [A,B] :
( ~ in(B,A)
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [A] :
( function(A)
| ~ empty(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f45,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f46,plain,
! [A] :
( relation(A)
| ~ empty(A) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f47,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f49,plain,
! [A] :
( ! [B,C] :
( ( ( C = apply(A,B)
<=> C = empty_set )
| in(B,relation_dom(A)) )
& ( ( C = apply(A,B)
<=> in(ordered_pair(B,C),A) )
| ~ in(B,relation_dom(A)) ) )
| ~ function(A)
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f50,plain,
! [A] :
( ! [B,C] :
( ( ( ( C != empty_set
| C = apply(A,B) )
& ( C = empty_set
| C != apply(A,B) ) )
| in(B,relation_dom(A)) )
& ( ( ( ~ in(ordered_pair(B,C),A)
| C = apply(A,B) )
& ( in(ordered_pair(B,C),A)
| C != apply(A,B) ) )
| ~ in(B,relation_dom(A)) ) )
| ~ function(A)
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [A] :
( ( ! [B] :
( ( ! [C] :
( C != empty_set
| C = apply(A,B) )
& ! [C] :
( C = empty_set
| C != apply(A,B) ) )
| in(B,relation_dom(A)) )
& ! [B] :
( ( ! [C] :
( ~ in(ordered_pair(B,C),A)
| C = apply(A,B) )
& ! [C] :
( in(ordered_pair(B,C),A)
| C != apply(A,B) ) )
| ~ in(B,relation_dom(A)) ) )
| ~ function(A)
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f52,plain,
! [X0,X1,X2] :
( in(ordered_pair(X1,X2),X0)
| X2 != apply(X0,X1)
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X1,X2),X0)
| X2 = apply(X0,X1)
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f54,plain,
! [X0,X1,X2] :
( X2 = empty_set
| X2 != apply(X0,X1)
| in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f56,plain,
! [A] :
( ! [B] :
( B = relation_dom(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f57,plain,
! [A] :
( ! [B] :
( ( ? [C] :
( ( ? [D] : in(ordered_pair(C,D),A)
| in(C,B) )
& ( ! [D] : ~ in(ordered_pair(C,D),A)
| ~ in(C,B) ) )
| B = relation_dom(A) )
& ( ! [C] :
( ( ! [D] : ~ in(ordered_pair(C,D),A)
| in(C,B) )
& ( ? [D] : in(ordered_pair(C,D),A)
| ~ in(C,B) ) )
| B != relation_dom(A) ) )
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
! [A] :
( ( ! [B] :
( ? [C] :
( ( ? [D] : in(ordered_pair(C,D),A)
| in(C,B) )
& ( ! [D] : ~ in(ordered_pair(C,D),A)
| ~ in(C,B) ) )
| B = relation_dom(A) )
& ! [B] :
( ( ! [C] :
( ! [D] : ~ in(ordered_pair(C,D),A)
| in(C,B) )
& ! [C] :
( ? [D] : in(ordered_pair(C,D),A)
| ~ in(C,B) ) )
| B != relation_dom(A) ) )
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f59,plain,
! [A] :
( ( ! [B] :
( ( ( in(ordered_pair(sK1_skl(B,A),sK2_skl(B,A)),A)
| in(sK1_skl(B,A),B) )
& ( ! [D] : ~ in(ordered_pair(sK1_skl(B,A),D),A)
| ~ in(sK1_skl(B,A),B) ) )
| B = relation_dom(A) )
& ! [B] :
( ( ! [C] :
( ! [D] : ~ in(ordered_pair(C,D),A)
| in(C,B) )
& ! [C] :
( in(ordered_pair(C,sK0_skl(C,B,A)),A)
| ~ in(C,B) ) )
| B != relation_dom(A) ) )
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(D,sK0_skl(C,B,A)),skolemize(C,sK1_skl(B,A)),skolemize(D,sK2_skl(B,A))],[f58]) ).
fof(f60,plain,
! [X0,X1,X2] :
( in(ordered_pair(X2,sK0_skl(X2,X1,X0)),X0)
| ~ in(X2,X1)
| X1 != relation_dom(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X2,X3),X0)
| in(X2,X1)
| X1 != relation_dom(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(sK1_skl(X1,X0),X2),X0)
| ~ in(sK1_skl(X1,X0),X1)
| X1 = relation_dom(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f63,plain,
! [X0,X1] :
( in(ordered_pair(sK1_skl(X1,X0),sK2_skl(X1,X0)),X0)
| in(sK1_skl(X1,X0),X1)
| X1 = relation_dom(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f65,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( C = relation_composition(A,B)
<=> ! [D,E] :
( in(ordered_pair(D,E),C)
<=> ? [F] :
( in(ordered_pair(F,E),B)
& in(ordered_pair(D,F),A) ) ) )
| ~ relation(C) )
| ~ relation(B) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f66,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ? [D,E] :
( ( ? [F] :
( in(ordered_pair(F,E),B)
& in(ordered_pair(D,F),A) )
| in(ordered_pair(D,E),C) )
& ( ! [F] :
( ~ in(ordered_pair(F,E),B)
| ~ in(ordered_pair(D,F),A) )
| ~ in(ordered_pair(D,E),C) ) )
| C = relation_composition(A,B) )
& ( ! [D,E] :
( ( ! [F] :
( ~ in(ordered_pair(F,E),B)
| ~ in(ordered_pair(D,F),A) )
| in(ordered_pair(D,E),C) )
& ( ? [F] :
( in(ordered_pair(F,E),B)
& in(ordered_pair(D,F),A) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_composition(A,B) ) )
| ~ relation(C) )
| ~ relation(B) )
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ? [D,E] :
( ( ? [F] :
( in(ordered_pair(F,E),B)
& in(ordered_pair(D,F),A) )
| in(ordered_pair(D,E),C) )
& ( ! [F] :
( ~ in(ordered_pair(F,E),B)
| ~ in(ordered_pair(D,F),A) )
| ~ in(ordered_pair(D,E),C) ) )
| C = relation_composition(A,B) )
& ( ( ! [D,E] :
( ! [F] :
( ~ in(ordered_pair(F,E),B)
| ~ in(ordered_pair(D,F),A) )
| in(ordered_pair(D,E),C) )
& ! [D,E] :
( ? [F] :
( in(ordered_pair(F,E),B)
& in(ordered_pair(D,F),A) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_composition(A,B) ) )
| ~ relation(C) )
| ~ relation(B) )
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f66]) ).
fof(f68,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ( ( ( in(ordered_pair(sK6_skl(C,B,A),sK5_skl(C,B,A)),B)
& in(ordered_pair(sK4_skl(C,B,A),sK6_skl(C,B,A)),A) )
| in(ordered_pair(sK4_skl(C,B,A),sK5_skl(C,B,A)),C) )
& ( ! [F] :
( ~ in(ordered_pair(F,sK5_skl(C,B,A)),B)
| ~ in(ordered_pair(sK4_skl(C,B,A),F),A) )
| ~ in(ordered_pair(sK4_skl(C,B,A),sK5_skl(C,B,A)),C) ) )
| C = relation_composition(A,B) )
& ( ( ! [D,E] :
( ! [F] :
( ~ in(ordered_pair(F,E),B)
| ~ in(ordered_pair(D,F),A) )
| in(ordered_pair(D,E),C) )
& ! [D,E] :
( ( in(ordered_pair(sK3_skl(E,D,C,B,A),E),B)
& in(ordered_pair(D,sK3_skl(E,D,C,B,A)),A) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_composition(A,B) ) )
| ~ relation(C) )
| ~ relation(B) )
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(F,sK3_skl(E,D,C,B,A)),skolemize(D,sK4_skl(C,B,A)),skolemize(E,sK5_skl(C,B,A)),skolemize(F,sK6_skl(C,B,A))],[f67]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4] :
( in(ordered_pair(X3,sK3_skl(X4,X3,X2,X1,X0)),X0)
| ~ in(ordered_pair(X3,X4),X2)
| X2 != relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
! [X0,X1,X2,X3,X4] :
( in(ordered_pair(sK3_skl(X4,X3,X2,X1,X0),X4),X1)
| ~ in(ordered_pair(X3,X4),X2)
| X2 != relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0)
| in(ordered_pair(X3,X4),X2)
| X2 != relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,sK5_skl(X2,X1,X0)),X1)
| ~ in(ordered_pair(sK4_skl(X2,X1,X0),X3),X0)
| ~ in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f73,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK4_skl(X2,X1,X0),sK6_skl(X2,X1,X0)),X0)
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f74,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK6_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X1)
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f75,plain,
! [A,B] :
( relation(relation_composition(A,B))
| ~ relation(B)
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f76,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [A] : element(sK7_skl(A),A),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(B,sK7_skl(A))],[f17]) ).
fof(f78,plain,
! [X0] : element(sK7_skl(X0),X0),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f79,plain,
! [A,B] :
( ( relation(relation_composition(B,A))
& empty(relation_composition(B,A)) )
| ~ relation(B)
| ~ empty(A) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f80,plain,
! [X0,X1] :
( empty(relation_composition(X1,X0))
| ~ relation(X1)
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f85,plain,
! [A,B] :
( ( function(relation_composition(A,B))
& relation(relation_composition(A,B)) )
| ~ function(B)
| ~ relation(B)
| ~ function(A)
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f87,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f94,plain,
! [A] :
( ~ empty(relation_dom(A))
| ~ relation(A)
| empty(A) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f95,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f96,plain,
! [A] :
( ( relation(relation_dom(A))
& empty(relation_dom(A)) )
| ~ empty(A) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f97,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f98,plain,
! [X0] :
( relation(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f99,plain,
! [A,B] :
( ( relation(relation_composition(A,B))
& empty(relation_composition(A,B)) )
| ~ relation(B)
| ~ empty(A) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f100,plain,
! [X0,X1] :
( empty(relation_composition(X0,X1))
| ~ relation(X1)
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f102,plain,
( function(sK8_skl)
& relation(sK8_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(A,sK8_skl)],[f29]) ).
fof(f103,plain,
relation(sK8_skl),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f104,plain,
function(sK8_skl),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f105,plain,
( relation(sK9_skl)
& empty(sK9_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(A,sK9_skl)],[f30]) ).
fof(f106,plain,
empty(sK9_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
relation(sK9_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f108,plain,
empty(sK10_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(A,sK10_skl)],[f31]) ).
fof(f109,plain,
empty(sK10_skl),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,plain,
( relation(sK11_skl)
& ~ empty(sK11_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(A,sK11_skl)],[f32]) ).
fof(f111,plain,
~ empty(sK11_skl),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f112,plain,
relation(sK11_skl),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f115,plain,
( relation_empty_yielding(sK13_skl)
& relation(sK13_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(A,sK13_skl)],[f34]) ).
fof(f116,plain,
relation(sK13_skl),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f120,plain,
? [A,B] :
( ? [C] :
( ( in(A,relation_dom(relation_composition(C,B)))
<~> ( in(apply(C,A),relation_dom(B))
& in(A,relation_dom(C)) ) )
& function(C)
& relation(C) )
& function(B)
& relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f121,plain,
? [A,B] :
( ? [C] :
( ( ~ in(apply(C,A),relation_dom(B))
| ~ in(A,relation_dom(C))
| ~ in(A,relation_dom(relation_composition(C,B))) )
& ( ( in(apply(C,A),relation_dom(B))
& in(A,relation_dom(C)) )
| in(A,relation_dom(relation_composition(C,B))) )
& function(C)
& relation(C) )
& function(B)
& relation(B) ),
inference(NNF_transformation,[status(thm)],[f120]) ).
fof(f122,plain,
? [B] :
( ? [C] :
( ? [A] :
( ( ~ in(apply(C,A),relation_dom(B))
| ~ in(A,relation_dom(C))
| ~ in(A,relation_dom(relation_composition(C,B))) )
& ( ( in(apply(C,A),relation_dom(B))
& in(A,relation_dom(C)) )
| in(A,relation_dom(relation_composition(C,B))) ) )
& function(C)
& relation(C) )
& function(B)
& relation(B) ),
inference(miniscoping,[status(thm)],[f121]) ).
fof(f123,plain,
( ( ~ in(apply(sK15_skl,sK16_skl),relation_dom(sK14_skl))
| ~ in(sK16_skl,relation_dom(sK15_skl))
| ~ in(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl))) )
& ( ( in(apply(sK15_skl,sK16_skl),relation_dom(sK14_skl))
& in(sK16_skl,relation_dom(sK15_skl)) )
| in(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl))) )
& function(sK15_skl)
& relation(sK15_skl)
& function(sK14_skl)
& relation(sK14_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl]),skolemize(B,sK14_skl),skolemize(C,sK15_skl),skolemize(A,sK16_skl)],[f122]) ).
fof(f124,plain,
relation(sK14_skl),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
function(sK14_skl),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f126,plain,
relation(sK15_skl),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f127,plain,
function(sK15_skl),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f128,plain,
( in(sK16_skl,relation_dom(sK15_skl))
| in(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f129,plain,
( in(apply(sK15_skl,sK16_skl),relation_dom(sK14_skl))
| in(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f130,plain,
( ~ in(apply(sK15_skl,sK16_skl),relation_dom(sK14_skl))
| ~ in(sK16_skl,relation_dom(sK15_skl))
| ~ in(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f131,plain,
! [A,B] :
( in(A,B)
| empty(B)
| ~ element(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f132,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
! [A] :
( A = empty_set
| ~ empty(A) ),
inference(pre_NNF_transformation,[status(thm)],[f39]) ).
fof(f134,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
! [A,B] :
( ~ empty(B)
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f40]) ).
fof(f136,plain,
! [B] :
( ~ empty(B)
| ! [A] : ~ in(A,B) ),
inference(miniscoping,[status(thm)],[f135]) ).
fof(f137,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f138,plain,
! [A,B] :
( ~ empty(B)
| A = B
| ~ empty(A) ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f139,plain,
! [B] :
( ~ empty(B)
| ! [A] :
( A = B
| ~ empty(A) ) ),
inference(miniscoping,[status(thm)],[f138]) ).
fof(f140,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f141,definition,
( sQ0_spl
<=> in(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ0_spl
| in(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f143,plain,
( sQ0_spl
| ~ in(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
( sQ1_spl
<=> in(sK16_skl,relation_dom(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ1_spl
| in(sK16_skl,relation_dom(sK15_skl)) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f128,f141,f144]) ).
fof(f148,definition,
( sQ2_spl
<=> in(apply(sK15_skl,sK16_skl),relation_dom(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ2_spl
| in(apply(sK15_skl,sK16_skl),relation_dom(sK14_skl)) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( sQ2_spl
| ~ in(apply(sK15_skl,sK16_skl),relation_dom(sK14_skl)) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f129,f141,f148]) ).
fof(f152,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f130,f141,f144,f148]) ).
fof(f153,plain,
! [X0,X1] :
( in(ordered_pair(X1,apply(X0,X1)),X0)
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f52]) ).
fof(f154,plain,
! [X0,X1] :
( apply(X0,X1) = empty_set
| in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f54]) ).
fof(f156,plain,
! [X0,X1] :
( in(ordered_pair(X1,sK0_skl(X1,relation_dom(X0),X0)),X0)
| ~ in(X1,relation_dom(X0))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f60]) ).
fof(f157,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X1,X2),X0)
| in(X1,relation_dom(X0))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f61]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(X2,sK3_skl(X3,X2,relation_composition(X0,X1),X1,X0)),X0)
| ~ in(ordered_pair(X2,X3),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f69]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(sK3_skl(X3,X2,relation_composition(X0,X1),X1,X0),X3),X1)
| ~ in(ordered_pair(X2,X3),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f70]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ in(ordered_pair(X4,X3),X1)
| ~ in(ordered_pair(X2,X4),X0)
| in(ordered_pair(X2,X3),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f71]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
| X1 = apply(X0,X2)
| ~ function(X0)
| ~ relation(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f53,f157]) ).
fof(f166,plain,
( ~ sQ0_spl
| in(ordered_pair(sK16_skl,sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(resolution,[status(thm)],[f142,f156]) ).
fof(f169,definition,
( sQ3_spl
<=> relation(relation_composition(sK15_skl,sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ3_spl
| relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ3_spl
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
( sQ4_spl
<=> in(ordered_pair(sK16_skl,sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ4_spl
| in(ordered_pair(sK16_skl,sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl)) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( ~ sQ0_spl
| sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f166,f169,f172,f141]) ).
fof(f176,definition,
( sQ5_spl
<=> function(relation_composition(sK15_skl,sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( sQ5_spl
| ~ function(relation_composition(sK15_skl,sK14_skl)) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4] :
( ~ in(ordered_pair(X4,X3),X1)
| ~ in(ordered_pair(X2,X4),X0)
| in(ordered_pair(X2,X3),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f160,f76]) ).
fof(f184,plain,
! [X0,X1] :
( in(sK1_skl(X1,X0),relation_dom(X0))
| ~ relation(X0)
| in(sK1_skl(X1,X0),X1)
| X1 = relation_dom(X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f63,f157]) ).
fof(f185,plain,
! [X0,X1] :
( in(ordered_pair(ordered_pair(sK1_skl(X1,relation_dom(X0)),sK2_skl(X1,relation_dom(X0))),sK0_skl(ordered_pair(sK1_skl(X1,relation_dom(X0)),sK2_skl(X1,relation_dom(X0))),relation_dom(X0),X0)),X0)
| ~ relation(X0)
| in(sK1_skl(X1,relation_dom(X0)),X1)
| X1 = relation_dom(relation_dom(X0))
| ~ relation(relation_dom(X0)) ),
inference(resolution,[status(thm)],[f63,f156]) ).
fof(f186,plain,
! [X0,X1] :
( in(ordered_pair(ordered_pair(sK1_skl(X1,relation_dom(X0)),sK2_skl(X1,relation_dom(X0))),apply(X0,ordered_pair(sK1_skl(X1,relation_dom(X0)),sK2_skl(X1,relation_dom(X0))))),X0)
| ~ function(X0)
| ~ relation(X0)
| in(sK1_skl(X1,relation_dom(X0)),X1)
| X1 = relation_dom(relation_dom(X0))
| ~ relation(relation_dom(X0)) ),
inference(resolution,[status(thm)],[f63,f153]) ).
fof(f188,plain,
! [X0,X1] :
( in(sK1_skl(X1,X0),relation_dom(X0))
| in(sK1_skl(X1,X0),X1)
| X1 = relation_dom(X0)
| ~ relation(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f184]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(X2,sK3_skl(X3,X2,relation_composition(X0,X1),X1,X0)),X0)
| ~ in(ordered_pair(X2,X3),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f158,f76]) ).
fof(f197,plain,
! [X0,X1,X2] :
( in(sK1_skl(X2,relation_composition(X0,X1)),X2)
| X2 = relation_dom(relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(X2,relation_composition(X0,X1)),sK3_skl(sK2_skl(X2,relation_composition(X0,X1)),sK1_skl(X2,relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f196,f63]) ).
fof(f198,plain,
! [X0,X1,X2] :
( in(sK1_skl(X2,relation_composition(X0,X1)),X2)
| X2 = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(X2,relation_composition(X0,X1)),sK3_skl(sK2_skl(X2,relation_composition(X0,X1)),sK1_skl(X2,relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f197,f76]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(sK3_skl(X3,X2,relation_composition(X0,X1),X1,X0),X3),X1)
| ~ in(ordered_pair(X2,X3),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f159,f76]) ).
fof(f200,plain,
! [X0,X1,X2] :
( in(sK1_skl(X2,relation_composition(X0,X1)),X2)
| X2 = relation_dom(relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| in(ordered_pair(sK3_skl(sK2_skl(X2,relation_composition(X0,X1)),sK1_skl(X2,relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0),sK2_skl(X2,relation_composition(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f199,f63]) ).
fof(f201,plain,
! [X0,X1,X2] :
( in(sK1_skl(X2,relation_composition(X0,X1)),X2)
| X2 = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK3_skl(sK2_skl(X2,relation_composition(X0,X1)),sK1_skl(X2,relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0),sK2_skl(X2,relation_composition(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f200,f76]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(sK3_skl(sK6_skl(X3,X2,relation_composition(X0,X1)),sK4_skl(X3,X2,relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0),sK6_skl(X3,X2,relation_composition(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0)
| in(ordered_pair(sK4_skl(X3,X2,relation_composition(X0,X1)),sK5_skl(X3,X2,relation_composition(X0,X1))),X3)
| X3 = relation_composition(relation_composition(X0,X1),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(relation_composition(X0,X1)) ),
inference(resolution,[status(thm)],[f73,f199]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(sK4_skl(X3,X2,relation_composition(X0,X1)),sK3_skl(sK6_skl(X3,X2,relation_composition(X0,X1)),sK4_skl(X3,X2,relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0)
| in(ordered_pair(sK4_skl(X3,X2,relation_composition(X0,X1)),sK5_skl(X3,X2,relation_composition(X0,X1))),X3)
| X3 = relation_composition(relation_composition(X0,X1),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(relation_composition(X0,X1)) ),
inference(resolution,[status(thm)],[f73,f196]) ).
fof(f204,plain,
! [X0,X1,X2] :
( in(sK4_skl(X2,X1,X0),relation_dom(X0))
| ~ relation(X0)
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f73,f157]) ).
fof(f205,plain,
! [X0,X1,X2] :
( in(ordered_pair(ordered_pair(sK4_skl(X2,X1,relation_dom(X0)),sK6_skl(X2,X1,relation_dom(X0))),sK0_skl(ordered_pair(sK4_skl(X2,X1,relation_dom(X0)),sK6_skl(X2,X1,relation_dom(X0))),relation_dom(X0),X0)),X0)
| ~ relation(X0)
| in(ordered_pair(sK4_skl(X2,X1,relation_dom(X0)),sK5_skl(X2,X1,relation_dom(X0))),X2)
| X2 = relation_composition(relation_dom(X0),X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(relation_dom(X0)) ),
inference(resolution,[status(thm)],[f73,f156]) ).
fof(f206,plain,
! [X0,X1,X2] :
( in(ordered_pair(ordered_pair(sK4_skl(X2,X1,relation_dom(X0)),sK6_skl(X2,X1,relation_dom(X0))),apply(X0,ordered_pair(sK4_skl(X2,X1,relation_dom(X0)),sK6_skl(X2,X1,relation_dom(X0))))),X0)
| ~ function(X0)
| ~ relation(X0)
| in(ordered_pair(sK4_skl(X2,X1,relation_dom(X0)),sK5_skl(X2,X1,relation_dom(X0))),X2)
| X2 = relation_composition(relation_dom(X0),X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(relation_dom(X0)) ),
inference(resolution,[status(thm)],[f73,f153]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(X2,X3)),sK4_skl(X1,X0,relation_composition(X2,X3)),relation_composition(X2,X3),X3,X2),sK6_skl(X1,X0,relation_composition(X2,X3))),X3)
| ~ relation(X3)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,X3)),sK5_skl(X1,X0,relation_composition(X2,X3))),X1)
| X1 = relation_composition(relation_composition(X2,X3),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f202,f76]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,X3)),sK3_skl(sK6_skl(X1,X0,relation_composition(X2,X3)),sK4_skl(X1,X0,relation_composition(X2,X3)),relation_composition(X2,X3),X3,X2)),X2)
| ~ relation(X3)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,X3)),sK5_skl(X1,X0,relation_composition(X2,X3))),X1)
| X1 = relation_composition(relation_composition(X2,X3),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f203,f76]) ).
fof(f210,plain,
! [X0,X1,X2] :
( in(sK4_skl(X2,X1,X0),relation_dom(X0))
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f204]) ).
fof(f212,plain,
( sQ3_spl
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f171,f76]) ).
fof(f214,definition,
( sQ7_spl
<=> empty(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( sQ7_spl
| ~ empty(sK14_skl) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ8_spl
<=> relation(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( sQ8_spl
| ~ relation(sK15_skl) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f221,definition,
( sQ9_spl
<=> relation(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( sQ9_spl
| ~ relation(sK14_skl) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,plain,
( sQ3_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f212,f217,f221,f169]) ).
fof(f225,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f219,f126]) ).
fof(f226,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f124]) ).
fof(f228,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f227]) ).
fof(f229,plain,
( ~ sQ4_spl
| in(ordered_pair(sK3_skl(sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl)),sK16_skl,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl))),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f173,f199]) ).
fof(f230,plain,
( ~ sQ4_spl
| in(ordered_pair(sK16_skl,sK3_skl(sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl)),sK16_skl,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f173,f196]) ).
fof(f233,definition,
( sQ10_spl
<=> in(ordered_pair(sK3_skl(sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl)),sK16_skl,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl))),sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ10_spl
| in(ordered_pair(sK3_skl(sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl)),sK16_skl,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl))),sK14_skl) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( ~ sQ4_spl
| sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f229,f217,f221,f233,f172]) ).
fof(f237,definition,
( sQ11_spl
<=> in(ordered_pair(sK16_skl,sK3_skl(sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl)),sK16_skl,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ11_spl
| in(ordered_pair(sK16_skl,sK3_skl(sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl)),sK16_skl,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,plain,
( ~ sQ4_spl
| sQ11_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f230,f217,f221,f237,f172]) ).
fof(f242,plain,
( sQ5_spl
| ~ empty(relation_composition(sK15_skl,sK14_skl)) ),
inference(resolution,[status(thm)],[f178,f45]) ).
fof(f243,plain,
( sQ5_spl
| ~ relation(sK15_skl)
| ~ empty(sK14_skl) ),
inference(resolution,[status(thm)],[f242,f80]) ).
fof(f244,plain,
( sQ5_spl
| ~ sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f243,f214,f217,f176]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(sK3_skl(sK5_skl(X3,relation_composition(X1,X2),X0),sK6_skl(X3,relation_composition(X1,X2),X0),relation_composition(X1,X2),X2,X1),sK5_skl(X3,relation_composition(X1,X2),X0)),X2)
| ~ relation(X2)
| ~ relation(X1)
| in(ordered_pair(sK4_skl(X3,relation_composition(X1,X2),X0),sK5_skl(X3,relation_composition(X1,X2),X0)),X3)
| X3 = relation_composition(X0,relation_composition(X1,X2))
| ~ relation(X3)
| ~ relation(relation_composition(X1,X2))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f74,f199]) ).
fof(f246,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(sK6_skl(X3,relation_composition(X1,X2),X0),sK3_skl(sK5_skl(X3,relation_composition(X1,X2),X0),sK6_skl(X3,relation_composition(X1,X2),X0),relation_composition(X1,X2),X2,X1)),X1)
| ~ relation(X2)
| ~ relation(X1)
| in(ordered_pair(sK4_skl(X3,relation_composition(X1,X2),X0),sK5_skl(X3,relation_composition(X1,X2),X0)),X3)
| X3 = relation_composition(X0,relation_composition(X1,X2))
| ~ relation(X3)
| ~ relation(relation_composition(X1,X2))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f74,f196]) ).
fof(f247,plain,
! [X0,X1,X2] :
( in(sK6_skl(X2,X1,X0),relation_dom(X1))
| ~ relation(X1)
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f74,f157]) ).
fof(f248,plain,
! [X0,X1,X2] :
( in(ordered_pair(ordered_pair(sK6_skl(X2,relation_dom(X1),X0),sK5_skl(X2,relation_dom(X1),X0)),sK0_skl(ordered_pair(sK6_skl(X2,relation_dom(X1),X0),sK5_skl(X2,relation_dom(X1),X0)),relation_dom(X1),X1)),X1)
| ~ relation(X1)
| in(ordered_pair(sK4_skl(X2,relation_dom(X1),X0),sK5_skl(X2,relation_dom(X1),X0)),X2)
| X2 = relation_composition(X0,relation_dom(X1))
| ~ relation(X2)
| ~ relation(relation_dom(X1))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f74,f156]) ).
fof(f249,plain,
! [X0,X1,X2] :
( in(ordered_pair(ordered_pair(sK6_skl(X2,relation_dom(X1),X0),sK5_skl(X2,relation_dom(X1),X0)),apply(X1,ordered_pair(sK6_skl(X2,relation_dom(X1),X0),sK5_skl(X2,relation_dom(X1),X0)))),X1)
| ~ function(X1)
| ~ relation(X1)
| in(ordered_pair(sK4_skl(X2,relation_dom(X1),X0),sK5_skl(X2,relation_dom(X1),X0)),X2)
| X2 = relation_composition(X0,relation_dom(X1))
| ~ relation(X2)
| ~ relation(relation_dom(X1))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f74,f153]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(X2,X3),X0),sK6_skl(X1,relation_composition(X2,X3),X0),relation_composition(X2,X3),X3,X2),sK5_skl(X1,relation_composition(X2,X3),X0)),X3)
| ~ relation(X3)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,X3),X0),sK5_skl(X1,relation_composition(X2,X3),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,X3))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f76]) ).
fof(f252,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(sK6_skl(X1,relation_composition(X2,X3),X0),sK3_skl(sK5_skl(X1,relation_composition(X2,X3),X0),sK6_skl(X1,relation_composition(X2,X3),X0),relation_composition(X2,X3),X3,X2)),X2)
| ~ relation(X3)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,X3),X0),sK5_skl(X1,relation_composition(X2,X3),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,X3))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f246,f76]) ).
fof(f253,plain,
! [X0,X1,X2] :
( in(sK6_skl(X2,X1,X0),relation_dom(X1))
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f247]) ).
fof(f260,plain,
( sQ7_spl
| ~ empty(relation_dom(sK14_skl))
| ~ relation(sK14_skl) ),
inference(resolution,[status(thm)],[f216,f95]) ).
fof(f261,definition,
( sQ12_spl
<=> empty(relation_dom(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( sQ12_spl
| ~ empty(relation_dom(sK14_skl)) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,plain,
( sQ7_spl
| ~ sQ12_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f260,f221,f261,f214]) ).
fof(f279,plain,
( sQ12_spl
| ~ empty(relation_dom(relation_dom(sK14_skl)))
| ~ relation(relation_dom(sK14_skl)) ),
inference(resolution,[status(thm)],[f263,f95]) ).
fof(f280,definition,
( sQ15_spl
<=> relation(relation_dom(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f283,definition,
( sQ16_spl
<=> empty(relation_dom(relation_dom(sK14_skl))) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( sQ12_spl
| ~ sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f279,f280,f283,f261]) ).
fof(f289,plain,
! [X0,X1] :
( ~ in(ordered_pair(X1,X0),sK8_skl)
| X0 = apply(sK8_skl,X1)
| ~ relation(sK8_skl) ),
inference(resolution,[status(thm)],[f165,f104]) ).
fof(f290,plain,
! [X0,X1,X2,X3] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0)
| ~ in(ordered_pair(X3,X2),relation_composition(X0,X1))
| X2 = apply(relation_composition(X0,X1),X3)
| ~ relation(relation_composition(X0,X1)) ),
inference(resolution,[status(thm)],[f165,f87]) ).
fof(f291,plain,
! [X0,X1] :
( ~ in(ordered_pair(X1,X0),sK15_skl)
| X0 = apply(sK15_skl,X1)
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f165,f127]) ).
fof(f292,plain,
! [X0,X1] :
( ~ in(ordered_pair(X1,X0),sK14_skl)
| X0 = apply(sK14_skl,X1)
| ~ relation(sK14_skl) ),
inference(resolution,[status(thm)],[f165,f125]) ).
fof(f294,definition,
( sQ17_spl
<=> relation(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( sQ17_spl
| ~ relation(sK8_skl) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
! [X0,X1] :
( sQ18_spl
<=> ( ~ in(ordered_pair(X1,X0),sK8_skl)
| X0 = apply(sK8_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f298,plain,
! [X0,X1] :
( ~ sQ18_spl
| ~ in(ordered_pair(X1,X0),sK8_skl)
| X0 = apply(sK8_skl,X1) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f289,f294,f297]) ).
fof(f301,plain,
! [X0,X1,X2,X3] :
( ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,X2))
| X0 = apply(relation_composition(X1,X2),X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f290,f76]) ).
fof(f302,definition,
! [X0,X1] :
( sQ19_spl
<=> ( ~ in(ordered_pair(X1,X0),sK15_skl)
| X0 = apply(sK15_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f303,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ in(ordered_pair(X1,X0),sK15_skl)
| X0 = apply(sK15_skl,X1) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( sQ19_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f291,f217,f302]) ).
fof(f306,definition,
! [X0,X1] :
( sQ20_spl
<=> ( ~ in(ordered_pair(X1,X0),sK14_skl)
| X0 = apply(sK14_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f307,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ in(ordered_pair(X1,X0),sK14_skl)
| X0 = apply(sK14_skl,X1) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,plain,
( sQ20_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f292,f221,f306]) ).
fof(f311,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f296,f103]) ).
fof(f312,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f311]) ).
fof(f313,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ in(ordered_pair(X5,sK5_skl(relation_composition(X0,X1),X2,X3)),X2)
| ~ in(ordered_pair(sK4_skl(relation_composition(X0,X1),X2,X3),X5),X3)
| relation_composition(X0,X1) = relation_composition(X3,X2)
| ~ relation(relation_composition(X0,X1))
| ~ relation(X2)
| ~ relation(X3)
| ~ in(ordered_pair(X4,sK5_skl(relation_composition(X0,X1),X2,X3)),X1)
| ~ in(ordered_pair(sK4_skl(relation_composition(X0,X1),X2,X3),X4),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f183,f72]) ).
fof(f314,plain,
! [X0,X1,X2,X3,X4] :
( in(ordered_pair(sK3_skl(X4,X2,relation_composition(X0,X1),X1,X0),X4),X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f183,f199]) ).
fof(f315,plain,
! [X0,X1,X2,X3,X4] :
( in(ordered_pair(X2,sK3_skl(X4,X2,relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f183,f196]) ).
fof(f316,plain,
! [X0,X1,X2,X3,X4] :
( in(X2,relation_dom(relation_composition(X0,X1)))
| ~ relation(relation_composition(X0,X1))
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f183,f157]) ).
fof(f317,plain,
! [X0,X1,X2,X3,X4] :
( ~ in(relation_composition(X0,X1),ordered_pair(X2,X4))
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f183,f43]) ).
fof(f318,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ in(ordered_pair(X5,sK5_skl(relation_composition(X0,X1),X2,X3)),X2)
| ~ in(ordered_pair(sK4_skl(relation_composition(X0,X1),X2,X3),X5),X3)
| relation_composition(X0,X1) = relation_composition(X3,X2)
| ~ relation(X2)
| ~ relation(X3)
| ~ in(ordered_pair(X4,sK5_skl(relation_composition(X0,X1),X2,X3)),X1)
| ~ in(ordered_pair(sK4_skl(relation_composition(X0,X1),X2,X3),X4),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f313,f76]) ).
fof(f319,plain,
! [X0,X1,X2,X3,X4] :
( in(ordered_pair(sK3_skl(X4,X2,relation_composition(X0,X1),X1,X0),X4),X1)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f314]) ).
fof(f320,plain,
! [X0,X1,X2,X3,X4] :
( in(ordered_pair(X2,sK3_skl(X4,X2,relation_composition(X0,X1),X1,X0)),X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f315]) ).
fof(f321,plain,
! [X0,X1,X2,X3,X4] :
( in(X2,relation_dom(relation_composition(X0,X1)))
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f316,f76]) ).
fof(f325,plain,
! [X0,X1] :
( ~ in(relation_dom(X0),sK1_skl(X1,X0))
| in(sK1_skl(X1,X0),X1)
| X1 = relation_dom(X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f188,f43]) ).
fof(f331,plain,
( ~ empty(relation_dom(sK11_skl))
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f111,f95]) ).
fof(f332,definition,
( sQ21_spl
<=> relation(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( sQ21_spl
| ~ relation(sK11_skl) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,definition,
( sQ22_spl
<=> empty(relation_dom(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( sQ22_spl
| ~ empty(relation_dom(sK11_skl)) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f331,f332,f335]) ).
fof(f347,plain,
! [X0] :
( in(sK7_skl(X0),X0)
| empty(X0) ),
inference(resolution,[status(thm)],[f132,f78]) ).
fof(f349,plain,
! [X0,X1] :
( ~ sQ19_spl
| in(ordered_pair(sK4_skl(X0,sK15_skl,X1),sK5_skl(X0,sK15_skl,X1)),X0)
| X0 = relation_composition(X1,sK15_skl)
| ~ relation(X0)
| ~ relation(sK15_skl)
| ~ relation(X1)
| sK5_skl(X0,sK15_skl,X1) = apply(sK15_skl,sK6_skl(X0,sK15_skl,X1)) ),
inference(resolution,[status(thm)],[f303,f74]) ).
fof(f350,plain,
! [X0,X1] :
( ~ sQ19_spl
| in(ordered_pair(sK4_skl(X0,X1,sK15_skl),sK5_skl(X0,X1,sK15_skl)),X0)
| X0 = relation_composition(sK15_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| ~ relation(sK15_skl)
| sK6_skl(X0,X1,sK15_skl) = apply(sK15_skl,sK4_skl(X0,X1,sK15_skl)) ),
inference(resolution,[status(thm)],[f303,f73]) ).
fof(f351,plain,
! [X0] :
( ~ sQ19_spl
| in(sK1_skl(X0,sK15_skl),X0)
| X0 = relation_dom(sK15_skl)
| ~ relation(sK15_skl)
| sK2_skl(X0,sK15_skl) = apply(sK15_skl,sK1_skl(X0,sK15_skl)) ),
inference(resolution,[status(thm)],[f303,f63]) ).
fof(f352,definition,
! [X0,X1] :
( sQ25_spl
<=> ( in(ordered_pair(sK4_skl(X0,sK15_skl,X1),sK5_skl(X0,sK15_skl,X1)),X0)
| X0 = relation_composition(X1,sK15_skl)
| ~ relation(X0)
| ~ relation(X1)
| sK5_skl(X0,sK15_skl,X1) = apply(sK15_skl,sK6_skl(X0,sK15_skl,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f349,f352,f217,f302]) ).
fof(f356,definition,
! [X0,X1] :
( sQ26_spl
<=> ( in(ordered_pair(sK4_skl(X0,X1,sK15_skl),sK5_skl(X0,X1,sK15_skl)),X0)
| X0 = relation_composition(sK15_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| sK6_skl(X0,X1,sK15_skl) = apply(sK15_skl,sK4_skl(X0,X1,sK15_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f350,f356,f217,f302]) ).
fof(f360,definition,
! [X0] :
( sQ27_spl
<=> ( in(sK1_skl(X0,sK15_skl),X0)
| X0 = relation_dom(sK15_skl)
| sK2_skl(X0,sK15_skl) = apply(sK15_skl,sK1_skl(X0,sK15_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f361,plain,
! [X0] :
( ~ sQ27_spl
| in(sK1_skl(X0,sK15_skl),X0)
| X0 = relation_dom(sK15_skl)
| sK2_skl(X0,sK15_skl) = apply(sK15_skl,sK1_skl(X0,sK15_skl)) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f351,f360,f217,f302]) ).
fof(f364,plain,
! [X0,X1] :
( ~ sQ20_spl
| in(ordered_pair(sK4_skl(X0,sK14_skl,X1),sK5_skl(X0,sK14_skl,X1)),X0)
| X0 = relation_composition(X1,sK14_skl)
| ~ relation(X0)
| ~ relation(sK14_skl)
| ~ relation(X1)
| sK5_skl(X0,sK14_skl,X1) = apply(sK14_skl,sK6_skl(X0,sK14_skl,X1)) ),
inference(resolution,[status(thm)],[f307,f74]) ).
fof(f365,plain,
! [X0,X1] :
( ~ sQ20_spl
| in(ordered_pair(sK4_skl(X0,X1,sK14_skl),sK5_skl(X0,X1,sK14_skl)),X0)
| X0 = relation_composition(sK14_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| ~ relation(sK14_skl)
| sK6_skl(X0,X1,sK14_skl) = apply(sK14_skl,sK4_skl(X0,X1,sK14_skl)) ),
inference(resolution,[status(thm)],[f307,f73]) ).
fof(f366,plain,
! [X0] :
( ~ sQ20_spl
| in(sK1_skl(X0,sK14_skl),X0)
| X0 = relation_dom(sK14_skl)
| ~ relation(sK14_skl)
| sK2_skl(X0,sK14_skl) = apply(sK14_skl,sK1_skl(X0,sK14_skl)) ),
inference(resolution,[status(thm)],[f307,f63]) ).
fof(f367,definition,
! [X0,X1] :
( sQ28_spl
<=> ( in(ordered_pair(sK4_skl(X0,sK14_skl,X1),sK5_skl(X0,sK14_skl,X1)),X0)
| X0 = relation_composition(X1,sK14_skl)
| ~ relation(X0)
| ~ relation(X1)
| sK5_skl(X0,sK14_skl,X1) = apply(sK14_skl,sK6_skl(X0,sK14_skl,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ20_spl
| ~ sQ9_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f364,f367,f221,f306]) ).
fof(f371,definition,
! [X0,X1] :
( sQ29_spl
<=> ( in(ordered_pair(sK4_skl(X0,X1,sK14_skl),sK5_skl(X0,X1,sK14_skl)),X0)
| X0 = relation_composition(sK14_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| sK6_skl(X0,X1,sK14_skl) = apply(sK14_skl,sK4_skl(X0,X1,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f372,plain,
! [X0,X1] :
( ~ sQ29_spl
| in(ordered_pair(sK4_skl(X0,X1,sK14_skl),sK5_skl(X0,X1,sK14_skl)),X0)
| X0 = relation_composition(sK14_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| sK6_skl(X0,X1,sK14_skl) = apply(sK14_skl,sK4_skl(X0,X1,sK14_skl)) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( ~ sQ20_spl
| ~ sQ9_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f365,f371,f221,f306]) ).
fof(f375,definition,
! [X0] :
( sQ30_spl
<=> ( in(sK1_skl(X0,sK14_skl),X0)
| X0 = relation_dom(sK14_skl)
| sK2_skl(X0,sK14_skl) = apply(sK14_skl,sK1_skl(X0,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ20_spl
| ~ sQ9_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f366,f375,f221,f306]) ).
fof(f380,plain,
( ~ sQ10_spl
| in(sK3_skl(sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl)),sK16_skl,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),relation_dom(sK14_skl))
| ~ relation(sK14_skl) ),
inference(resolution,[status(thm)],[f234,f157]) ).
fof(f382,definition,
( sQ31_spl
<=> in(sK3_skl(sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl)),sK16_skl,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),relation_dom(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ31_spl
| in(sK3_skl(sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl)),sK16_skl,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),relation_dom(sK14_skl)) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( ~ sQ10_spl
| sQ31_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f380,f221,f382,f233]) ).
fof(f386,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f334,f112]) ).
fof(f387,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f386]) ).
fof(f389,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(sK1_skl(X2,relation_composition(X0,X1)),X3),relation_composition(X0,X1))
| X2 = relation_dom(relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| X2 = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(X2,relation_composition(X0,X1)),sK3_skl(sK2_skl(X2,relation_composition(X0,X1)),sK1_skl(X2,relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f198,f62]) ).
fof(f391,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK1_skl(relation_dom(X2),relation_composition(X0,X1)),apply(X2,sK1_skl(relation_dom(X2),relation_composition(X0,X1)))),X2)
| ~ function(X2)
| ~ relation(X2)
| relation_dom(X2) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(relation_dom(X2),relation_composition(X0,X1)),sK3_skl(sK2_skl(relation_dom(X2),relation_composition(X0,X1)),sK1_skl(relation_dom(X2),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f198,f153]) ).
fof(f392,plain,
! [X0,X1,X2] :
( ~ in(X2,sK1_skl(X2,relation_composition(X0,X1)))
| X2 = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(X2,relation_composition(X0,X1)),sK3_skl(sK2_skl(X2,relation_composition(X0,X1)),sK1_skl(X2,relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f198,f43]) ).
fof(f393,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(sK1_skl(X2,relation_composition(X0,X1)),X3),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| X2 = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(X2,relation_composition(X0,X1)),sK3_skl(sK2_skl(X2,relation_composition(X0,X1)),sK1_skl(X2,relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f389]) ).
fof(f394,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(sK1_skl(X2,relation_composition(X0,X1)),X3),relation_composition(X0,X1))
| X2 = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(X2,relation_composition(X0,X1)),sK3_skl(sK2_skl(X2,relation_composition(X0,X1)),sK1_skl(X2,relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f393,f76]) ).
fof(f397,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK1_skl(relation_dom(X2),relation_composition(X0,X1)),apply(X2,sK1_skl(relation_dom(X2),relation_composition(X0,X1)))),X2)
| ~ function(X2)
| ~ relation(X2)
| relation_dom(X2) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK3_skl(sK2_skl(relation_dom(X2),relation_composition(X0,X1)),sK1_skl(relation_dom(X2),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0),sK2_skl(relation_dom(X2),relation_composition(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f201,f153]) ).
fof(f398,plain,
! [X0,X1,X2] :
( ~ in(X2,sK1_skl(X2,relation_composition(X0,X1)))
| X2 = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK3_skl(sK2_skl(X2,relation_composition(X0,X1)),sK1_skl(X2,relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0),sK2_skl(X2,relation_composition(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f201,f43]) ).
fof(f401,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| sK6_skl(X1,X0,relation_composition(X2,sK14_skl)) = apply(sK14_skl,sK3_skl(sK6_skl(X1,X0,relation_composition(X2,sK14_skl)),sK4_skl(X1,X0,relation_composition(X2,sK14_skl)),relation_composition(X2,sK14_skl),sK14_skl,X2))
| ~ relation(sK14_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,sK14_skl)),sK5_skl(X1,X0,relation_composition(X2,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(X2,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f208,f307]) ).
fof(f402,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| sK6_skl(X1,X0,relation_composition(X2,sK15_skl)) = apply(sK15_skl,sK3_skl(sK6_skl(X1,X0,relation_composition(X2,sK15_skl)),sK4_skl(X1,X0,relation_composition(X2,sK15_skl)),relation_composition(X2,sK15_skl),sK15_skl,X2))
| ~ relation(sK15_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,sK15_skl)),sK5_skl(X1,X0,relation_composition(X2,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(X2,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f208,f303]) ).
fof(f406,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(X2,relation_dom(X3))),sK4_skl(X1,X0,relation_composition(X2,relation_dom(X3))),relation_composition(X2,relation_dom(X3)),relation_dom(X3),X2),sK6_skl(X1,X0,relation_composition(X2,relation_dom(X3)))),sK0_skl(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(X2,relation_dom(X3))),sK4_skl(X1,X0,relation_composition(X2,relation_dom(X3))),relation_composition(X2,relation_dom(X3)),relation_dom(X3),X2),sK6_skl(X1,X0,relation_composition(X2,relation_dom(X3)))),relation_dom(X3),X3)),X3)
| ~ relation(X3)
| ~ relation(relation_dom(X3))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,relation_dom(X3))),sK5_skl(X1,X0,relation_composition(X2,relation_dom(X3)))),X1)
| X1 = relation_composition(relation_composition(X2,relation_dom(X3)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f208,f156]) ).
fof(f407,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(X2,relation_dom(X3))),sK4_skl(X1,X0,relation_composition(X2,relation_dom(X3))),relation_composition(X2,relation_dom(X3)),relation_dom(X3),X2),sK6_skl(X1,X0,relation_composition(X2,relation_dom(X3)))),apply(X3,ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(X2,relation_dom(X3))),sK4_skl(X1,X0,relation_composition(X2,relation_dom(X3))),relation_composition(X2,relation_dom(X3)),relation_dom(X3),X2),sK6_skl(X1,X0,relation_composition(X2,relation_dom(X3)))))),X3)
| ~ function(X3)
| ~ relation(X3)
| ~ relation(relation_dom(X3))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,relation_dom(X3))),sK5_skl(X1,X0,relation_composition(X2,relation_dom(X3)))),X1)
| X1 = relation_composition(relation_composition(X2,relation_dom(X3)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f208,f153]) ).
fof(f409,definition,
! [X0,X1,X2] :
( sQ32_spl
<=> ( sK6_skl(X1,X0,relation_composition(X2,sK14_skl)) = apply(sK14_skl,sK3_skl(sK6_skl(X1,X0,relation_composition(X2,sK14_skl)),sK4_skl(X1,X0,relation_composition(X2,sK14_skl)),relation_composition(X2,sK14_skl),sK14_skl,X2))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,sK14_skl)),sK5_skl(X1,X0,relation_composition(X2,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(X2,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ20_spl
| ~ sQ9_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f401,f409,f221,f306]) ).
fof(f413,definition,
! [X0,X1,X2] :
( sQ33_spl
<=> ( sK6_skl(X1,X0,relation_composition(X2,sK15_skl)) = apply(sK15_skl,sK3_skl(sK6_skl(X1,X0,relation_composition(X2,sK15_skl)),sK4_skl(X1,X0,relation_composition(X2,sK15_skl)),relation_composition(X2,sK15_skl),sK15_skl,X2))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,sK15_skl)),sK5_skl(X1,X0,relation_composition(X2,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(X2,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f402,f413,f217,f302]) ).
fof(f420,plain,
sK10_skl = empty_set,
inference(resolution,[status(thm)],[f134,f109]) ).
fof(f421,plain,
sK9_skl = empty_set,
inference(resolution,[status(thm)],[f134,f106]) ).
fof(f422,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ empty(X0)
| relation_composition(X0,X1) = empty_set ),
inference(resolution,[status(thm)],[f134,f100]) ).
fof(f423,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| relation_composition(X0,X1) = empty_set ),
inference(resolution,[status(thm)],[f134,f80]) ).
fof(f424,plain,
! [X0] :
( ~ empty(X0)
| relation_dom(X0) = empty_set ),
inference(resolution,[status(thm)],[f134,f97]) ).
fof(f426,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| X0 = empty_set ),
inference(resolution,[status(thm)],[f134,f95]) ).
fof(f431,plain,
! [X0,X1] :
( apply(X0,X1) = sK10_skl
| in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(backward_demodulation,[status(thm)],[f420,f154]) ).
fof(f432,plain,
sK10_skl = sK9_skl,
inference(backward_demodulation,[status(thm)],[f421,f420]) ).
fof(f433,plain,
! [X0] : ~ in(X0,sK10_skl),
inference(resolution,[status(thm)],[f137,f109]) ).
fof(f435,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ empty(X1)
| ~ in(X0,relation_composition(X1,X2)) ),
inference(resolution,[status(thm)],[f137,f100]) ).
fof(f436,plain,
! [X0,X1,X2] :
( ~ relation(X1)
| ~ empty(X2)
| ~ in(X0,relation_composition(X1,X2)) ),
inference(resolution,[status(thm)],[f137,f80]) ).
fof(f437,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,relation_dom(X1)) ),
inference(resolution,[status(thm)],[f137,f97]) ).
fof(f438,plain,
! [X0,X1] :
( ~ empty(relation_dom(X1))
| ~ relation(X1)
| ~ in(X0,X1) ),
inference(resolution,[status(thm)],[f137,f95]) ).
fof(f444,plain,
! [X0,X1] :
( ~ empty(relation_dom(X1))
| ~ relation(X1)
| X0 = X1
| ~ empty(X0) ),
inference(resolution,[status(thm)],[f140,f95]) ).
fof(f451,plain,
( ~ sQ19_spl
| ~ sQ11_spl
| sK3_skl(sK0_skl(sK16_skl,relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl)),sK16_skl,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl) = apply(sK15_skl,sK16_skl) ),
inference(resolution,[status(thm)],[f238,f303]) ).
fof(f452,plain,
( ~ sQ11_spl
| in(sK16_skl,relation_dom(sK15_skl))
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f238,f157]) ).
fof(f454,plain,
( ~ sQ11_spl
| sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f452,f217,f144,f237]) ).
fof(f456,plain,
( ~ sQ1_spl
| in(ordered_pair(sK16_skl,apply(sK15_skl,sK16_skl)),sK15_skl)
| ~ function(sK15_skl)
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f145,f153]) ).
fof(f462,definition,
( sQ35_spl
<=> function(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( sQ35_spl
| ~ function(sK15_skl) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ36_spl
<=> in(ordered_pair(sK16_skl,apply(sK15_skl,sK16_skl)),sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ36_spl
| in(ordered_pair(sK16_skl,apply(sK15_skl,sK16_skl)),sK15_skl) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( ~ sQ1_spl
| sQ36_spl
| ~ sQ35_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f456,f217,f462,f465,f144]) ).
fof(f469,plain,
( sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f464,f127]) ).
fof(f470,plain,
sQ35_spl,
inference(contradiction_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( sQ22_spl
| ~ empty(relation_dom(relation_dom(sK11_skl)))
| ~ relation(relation_dom(sK11_skl)) ),
inference(resolution,[status(thm)],[f337,f95]) ).
fof(f473,definition,
( sQ37_spl
<=> relation(relation_dom(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f476,definition,
( sQ38_spl
<=> empty(relation_dom(relation_dom(sK11_skl))) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( sQ22_spl
| ~ sQ38_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f472,f473,f476,f335]) ).
fof(f482,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,X2)),sK4_skl(X1,X0,relation_composition(sK14_skl,X2)),relation_composition(sK14_skl,X2),X2,sK14_skl) = apply(sK14_skl,sK4_skl(X1,X0,relation_composition(sK14_skl,X2)))
| ~ relation(X2)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,X2)),sK5_skl(X1,X0,relation_composition(sK14_skl,X2))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,X2),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f209,f307]) ).
fof(f483,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,X2)),sK4_skl(X1,X0,relation_composition(sK15_skl,X2)),relation_composition(sK15_skl,X2),X2,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,X2)))
| ~ relation(X2)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,X2)),sK5_skl(X1,X0,relation_composition(sK15_skl,X2))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,X2),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f209,f303]) ).
fof(f487,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(X2),X3)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_dom(X2),X3)),sK4_skl(X1,X0,relation_composition(relation_dom(X2),X3)),relation_composition(relation_dom(X2),X3),X3,relation_dom(X2))),sK0_skl(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(X2),X3)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_dom(X2),X3)),sK4_skl(X1,X0,relation_composition(relation_dom(X2),X3)),relation_composition(relation_dom(X2),X3),X3,relation_dom(X2))),relation_dom(X2),X2)),X2)
| ~ relation(X2)
| ~ relation(X3)
| ~ relation(relation_dom(X2))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(X2),X3)),sK5_skl(X1,X0,relation_composition(relation_dom(X2),X3))),X1)
| X1 = relation_composition(relation_composition(relation_dom(X2),X3),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f209,f156]) ).
fof(f488,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(X2),X3)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_dom(X2),X3)),sK4_skl(X1,X0,relation_composition(relation_dom(X2),X3)),relation_composition(relation_dom(X2),X3),X3,relation_dom(X2))),apply(X2,ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(X2),X3)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_dom(X2),X3)),sK4_skl(X1,X0,relation_composition(relation_dom(X2),X3)),relation_composition(relation_dom(X2),X3),X3,relation_dom(X2))))),X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X3)
| ~ relation(relation_dom(X2))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(X2),X3)),sK5_skl(X1,X0,relation_composition(relation_dom(X2),X3))),X1)
| X1 = relation_composition(relation_composition(relation_dom(X2),X3),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f209,f153]) ).
fof(f490,definition,
! [X0,X1,X2] :
( sQ39_spl
<=> ( sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,X2)),sK4_skl(X1,X0,relation_composition(sK14_skl,X2)),relation_composition(sK14_skl,X2),X2,sK14_skl) = apply(sK14_skl,sK4_skl(X1,X0,relation_composition(sK14_skl,X2)))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,X2)),sK5_skl(X1,X0,relation_composition(sK14_skl,X2))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,X2),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f491,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,X2)),sK4_skl(X1,X0,relation_composition(sK14_skl,X2)),relation_composition(sK14_skl,X2),X2,sK14_skl) = apply(sK14_skl,sK4_skl(X1,X0,relation_composition(sK14_skl,X2)))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,X2)),sK5_skl(X1,X0,relation_composition(sK14_skl,X2))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,X2),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,plain,
( ~ sQ20_spl
| ~ sQ9_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f482,f490,f221,f306]) ).
fof(f494,definition,
! [X0,X1,X2] :
( sQ40_spl
<=> ( sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,X2)),sK4_skl(X1,X0,relation_composition(sK15_skl,X2)),relation_composition(sK15_skl,X2),X2,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,X2)))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,X2)),sK5_skl(X1,X0,relation_composition(sK15_skl,X2))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,X2),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f495,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,X2)),sK4_skl(X1,X0,relation_composition(sK15_skl,X2)),relation_composition(sK15_skl,X2),X2,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,X2)))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,X2)),sK5_skl(X1,X0,relation_composition(sK15_skl,X2))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,X2),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f483,f494,f217,f302]) ).
fof(f502,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK4_skl(X2,X1,X0),apply(X0,sK4_skl(X2,X1,X0))),X0)
| ~ function(X0)
| ~ relation(X0)
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f210,f153]) ).
fof(f503,plain,
! [X0,X1,X2] :
( ~ in(relation_dom(X0),sK4_skl(X2,X1,X0))
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f210,f43]) ).
fof(f505,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK4_skl(X2,X1,X0),apply(X0,sK4_skl(X2,X1,X0))),X0)
| ~ function(X0)
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f502]) ).
fof(f509,plain,
! [X0,X1] :
( apply(X0,X1) = sK9_skl
| in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(backward_demodulation,[status(thm)],[f432,f431]) ).
fof(f514,plain,
! [X0] :
( apply(sK8_skl,X0) = sK9_skl
| in(X0,relation_dom(sK8_skl))
| ~ relation(sK8_skl) ),
inference(resolution,[status(thm)],[f509,f104]) ).
fof(f515,plain,
! [X0,X1,X2] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0)
| apply(relation_composition(X0,X1),X2) = sK9_skl
| in(X2,relation_dom(relation_composition(X0,X1)))
| ~ relation(relation_composition(X0,X1)) ),
inference(resolution,[status(thm)],[f509,f87]) ).
fof(f516,plain,
! [X0] :
( apply(sK15_skl,X0) = sK9_skl
| in(X0,relation_dom(sK15_skl))
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f509,f127]) ).
fof(f517,plain,
! [X0] :
( apply(sK14_skl,X0) = sK9_skl
| in(X0,relation_dom(sK14_skl))
| ~ relation(sK14_skl) ),
inference(resolution,[status(thm)],[f509,f125]) ).
fof(f518,plain,
! [X0,X1] :
( ~ empty(X0)
| apply(X0,X1) = sK9_skl
| in(X1,relation_dom(X0))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f509,f45]) ).
fof(f519,definition,
! [X0] :
( sQ41_spl
<=> ( apply(sK8_skl,X0) = sK9_skl
| in(X0,relation_dom(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f520,plain,
! [X0] :
( ~ sQ41_spl
| apply(sK8_skl,X0) = sK9_skl
| in(X0,relation_dom(sK8_skl)) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( sQ41_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f514,f294,f519]) ).
fof(f523,plain,
! [X0,X1,X2] :
( ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(X1,X2),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[f515,f76]) ).
fof(f524,definition,
! [X0] :
( sQ42_spl
<=> ( apply(sK15_skl,X0) = sK9_skl
| in(X0,relation_dom(sK15_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f525,plain,
! [X0] :
( ~ sQ42_spl
| apply(sK15_skl,X0) = sK9_skl
| in(X0,relation_dom(sK15_skl)) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( sQ42_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f516,f217,f524]) ).
fof(f528,definition,
! [X0] :
( sQ43_spl
<=> ( apply(sK14_skl,X0) = sK9_skl
| in(X0,relation_dom(sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( sQ43_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f517,f221,f528]) ).
fof(f532,plain,
! [X0,X1] :
( ~ empty(X1)
| apply(X1,X0) = sK9_skl
| in(X0,relation_dom(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f518,f47]) ).
fof(f539,plain,
! [X0,X1] :
( ~ empty(relation_dom(X1))
| in(ordered_pair(ordered_pair(sK1_skl(X0,relation_dom(X1)),sK2_skl(X0,relation_dom(X1))),sK0_skl(ordered_pair(sK1_skl(X0,relation_dom(X1)),sK2_skl(X0,relation_dom(X1))),relation_dom(X1),X1)),X1)
| ~ relation(X1)
| in(sK1_skl(X0,relation_dom(X1)),X0)
| X0 = relation_dom(relation_dom(X1)) ),
inference(resolution,[status(thm)],[f185,f47]) ).
fof(f570,plain,
! [X0] :
( ~ empty(X0)
| relation_dom(X0) = sK9_skl ),
inference(forward_demodulation,[status(thm)],[f421,f424]) ).
fof(f571,plain,
relation_dom(sK9_skl) = sK9_skl,
inference(resolution,[status(thm)],[f570,f106]) ).
fof(f576,plain,
! [X0] :
( in(ordered_pair(ordered_pair(sK1_skl(X0,relation_dom(sK9_skl)),sK2_skl(X0,relation_dom(sK9_skl))),sK0_skl(ordered_pair(sK1_skl(X0,relation_dom(sK9_skl)),sK2_skl(X0,relation_dom(sK9_skl))),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| in(sK1_skl(X0,relation_dom(sK9_skl)),X0)
| X0 = relation_dom(relation_dom(sK9_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f185]) ).
fof(f577,plain,
! [X0,X1] :
( in(ordered_pair(ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK6_skl(X1,X0,relation_dom(sK9_skl))),apply(sK9_skl,ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK6_skl(X1,X0,relation_dom(sK9_skl))))),sK9_skl)
| ~ function(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK5_skl(X1,X0,relation_dom(sK9_skl))),X1)
| X1 = relation_composition(relation_dom(sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f206]) ).
fof(f578,plain,
! [X0,X1] :
( in(sK4_skl(X1,X0,sK9_skl),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK5_skl(X1,X0,sK9_skl)),X1)
| X1 = relation_composition(sK9_skl,X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f210]) ).
fof(f579,plain,
! [X0] :
( in(ordered_pair(ordered_pair(sK1_skl(X0,relation_dom(sK9_skl)),sK2_skl(X0,relation_dom(sK9_skl))),apply(sK9_skl,ordered_pair(sK1_skl(X0,relation_dom(sK9_skl)),sK2_skl(X0,relation_dom(sK9_skl))))),sK9_skl)
| ~ function(sK9_skl)
| ~ relation(sK9_skl)
| in(sK1_skl(X0,relation_dom(sK9_skl)),X0)
| X0 = relation_dom(relation_dom(sK9_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f186]) ).
fof(f580,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),sK9_skl)
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f188]) ).
fof(f581,plain,
( relation(sK9_skl)
| ~ empty(sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f98]) ).
fof(f583,plain,
! [X0] :
( in(ordered_pair(X0,sK0_skl(X0,relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ in(X0,sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f156]) ).
fof(f584,plain,
! [X0] :
( in(ordered_pair(X0,apply(sK9_skl,X0)),sK9_skl)
| ~ in(X0,sK9_skl)
| ~ function(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f153]) ).
fof(f585,definition,
( sQ44_spl
<=> relation(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f588,definition,
! [X0] :
( sQ45_spl
<=> ( in(ordered_pair(ordered_pair(sK1_skl(X0,relation_dom(sK9_skl)),sK2_skl(X0,relation_dom(sK9_skl))),sK0_skl(ordered_pair(sK1_skl(X0,relation_dom(sK9_skl)),sK2_skl(X0,relation_dom(sK9_skl))),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| in(sK1_skl(X0,relation_dom(sK9_skl)),X0)
| X0 = relation_dom(relation_dom(sK9_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( sQ45_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f576,f585,f588]) ).
fof(f592,definition,
! [X0,X1] :
( sQ46_spl
<=> ( in(ordered_pair(ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK6_skl(X1,X0,relation_dom(sK9_skl))),apply(sK9_skl,ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK6_skl(X1,X0,relation_dom(sK9_skl))))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK5_skl(X1,X0,relation_dom(sK9_skl))),X1)
| X1 = relation_composition(relation_dom(sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f595,definition,
( sQ47_spl
<=> function(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( ~ sQ47_spl
| function(sK9_skl) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f597,plain,
( sQ47_spl
| ~ function(sK9_skl) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( ~ sQ47_spl
| sQ46_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f577,f585,f592,f595]) ).
fof(f599,definition,
! [X0,X1] :
( sQ48_spl
<=> ( in(sK4_skl(X1,X0,sK9_skl),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK5_skl(X1,X0,sK9_skl)),X1)
| X1 = relation_composition(sK9_skl,X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( sQ48_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f578,f585,f599]) ).
fof(f603,definition,
! [X0] :
( sQ49_spl
<=> ( in(ordered_pair(ordered_pair(sK1_skl(X0,relation_dom(sK9_skl)),sK2_skl(X0,relation_dom(sK9_skl))),apply(sK9_skl,ordered_pair(sK1_skl(X0,relation_dom(sK9_skl)),sK2_skl(X0,relation_dom(sK9_skl))))),sK9_skl)
| in(sK1_skl(X0,relation_dom(sK9_skl)),X0)
| X0 = relation_dom(relation_dom(sK9_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( ~ sQ47_spl
| sQ49_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f579,f585,f603,f595]) ).
fof(f607,definition,
! [X0] :
( sQ50_spl
<=> ( in(sK1_skl(X0,sK9_skl),sK9_skl)
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( sQ50_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f580,f585,f607]) ).
fof(f611,definition,
( sQ51_spl
<=> empty(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( sQ51_spl
| ~ empty(sK9_skl) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,plain,
( sQ44_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f581,f611,f585]) ).
fof(f616,definition,
! [X0] :
( sQ52_spl
<=> ( in(ordered_pair(X0,sK0_skl(X0,relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ in(X0,sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( sQ52_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f583,f585,f616]) ).
fof(f620,definition,
! [X0] :
( sQ53_spl
<=> ( in(ordered_pair(X0,apply(sK9_skl,X0)),sK9_skl)
| ~ in(X0,sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( sQ53_spl
| ~ sQ47_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f584,f585,f595,f620]) ).
fof(f624,plain,
( sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f613,f106]) ).
fof(f625,plain,
sQ51_spl,
inference(contradiction_clause,[status(thm)],[f624]) ).
fof(f636,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| sK5_skl(X1,relation_composition(X2,sK14_skl),X0) = apply(sK14_skl,sK3_skl(sK5_skl(X1,relation_composition(X2,sK14_skl),X0),sK6_skl(X1,relation_composition(X2,sK14_skl),X0),relation_composition(X2,sK14_skl),sK14_skl,X2))
| ~ relation(sK14_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,sK14_skl),X0),sK5_skl(X1,relation_composition(X2,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f251,f307]) ).
fof(f637,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| sK5_skl(X1,relation_composition(X2,sK15_skl),X0) = apply(sK15_skl,sK3_skl(sK5_skl(X1,relation_composition(X2,sK15_skl),X0),sK6_skl(X1,relation_composition(X2,sK15_skl),X0),relation_composition(X2,sK15_skl),sK15_skl,X2))
| ~ relation(sK15_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,sK15_skl),X0),sK5_skl(X1,relation_composition(X2,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f251,f303]) ).
fof(f641,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(X2,relation_dom(X3)),X0),sK6_skl(X1,relation_composition(X2,relation_dom(X3)),X0),relation_composition(X2,relation_dom(X3)),relation_dom(X3),X2),sK5_skl(X1,relation_composition(X2,relation_dom(X3)),X0)),sK0_skl(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(X2,relation_dom(X3)),X0),sK6_skl(X1,relation_composition(X2,relation_dom(X3)),X0),relation_composition(X2,relation_dom(X3)),relation_dom(X3),X2),sK5_skl(X1,relation_composition(X2,relation_dom(X3)),X0)),relation_dom(X3),X3)),X3)
| ~ relation(X3)
| ~ relation(relation_dom(X3))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,relation_dom(X3)),X0),sK5_skl(X1,relation_composition(X2,relation_dom(X3)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,relation_dom(X3)))
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f251,f156]) ).
fof(f642,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(X2,relation_dom(X3)),X0),sK6_skl(X1,relation_composition(X2,relation_dom(X3)),X0),relation_composition(X2,relation_dom(X3)),relation_dom(X3),X2),sK5_skl(X1,relation_composition(X2,relation_dom(X3)),X0)),apply(X3,ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(X2,relation_dom(X3)),X0),sK6_skl(X1,relation_composition(X2,relation_dom(X3)),X0),relation_composition(X2,relation_dom(X3)),relation_dom(X3),X2),sK5_skl(X1,relation_composition(X2,relation_dom(X3)),X0)))),X3)
| ~ function(X3)
| ~ relation(X3)
| ~ relation(relation_dom(X3))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,relation_dom(X3)),X0),sK5_skl(X1,relation_composition(X2,relation_dom(X3)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,relation_dom(X3)))
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f251,f153]) ).
fof(f644,definition,
! [X0,X1,X2] :
( sQ54_spl
<=> ( sK5_skl(X1,relation_composition(X2,sK14_skl),X0) = apply(sK14_skl,sK3_skl(sK5_skl(X1,relation_composition(X2,sK14_skl),X0),sK6_skl(X1,relation_composition(X2,sK14_skl),X0),relation_composition(X2,sK14_skl),sK14_skl,X2))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,sK14_skl),X0),sK5_skl(X1,relation_composition(X2,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( ~ sQ20_spl
| ~ sQ9_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f636,f644,f221,f306]) ).
fof(f648,definition,
! [X0,X1,X2] :
( sQ55_spl
<=> ( sK5_skl(X1,relation_composition(X2,sK15_skl),X0) = apply(sK15_skl,sK3_skl(sK5_skl(X1,relation_composition(X2,sK15_skl),X0),sK6_skl(X1,relation_composition(X2,sK15_skl),X0),relation_composition(X2,sK15_skl),sK15_skl,X2))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,sK15_skl),X0),sK5_skl(X1,relation_composition(X2,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f649,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| sK5_skl(X1,relation_composition(X2,sK15_skl),X0) = apply(sK15_skl,sK3_skl(sK5_skl(X1,relation_composition(X2,sK15_skl),X0),sK6_skl(X1,relation_composition(X2,sK15_skl),X0),relation_composition(X2,sK15_skl),sK15_skl,X2))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,sK15_skl),X0),sK5_skl(X1,relation_composition(X2,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f637,f648,f217,f302]) ).
fof(f655,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,X2),X0),sK6_skl(X1,relation_composition(sK14_skl,X2),X0),relation_composition(sK14_skl,X2),X2,sK14_skl) = apply(sK14_skl,sK6_skl(X1,relation_composition(sK14_skl,X2),X0))
| ~ relation(X2)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,X2),X0),sK5_skl(X1,relation_composition(sK14_skl,X2),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,X2))
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f252,f307]) ).
fof(f656,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,X2),X0),sK6_skl(X1,relation_composition(sK15_skl,X2),X0),relation_composition(sK15_skl,X2),X2,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,X2),X0))
| ~ relation(X2)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,X2),X0),sK5_skl(X1,relation_composition(sK15_skl,X2),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,X2))
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f252,f303]) ).
fof(f660,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(ordered_pair(sK6_skl(X1,relation_composition(relation_dom(X2),X3),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_dom(X2),X3),X0),sK6_skl(X1,relation_composition(relation_dom(X2),X3),X0),relation_composition(relation_dom(X2),X3),X3,relation_dom(X2))),sK0_skl(ordered_pair(sK6_skl(X1,relation_composition(relation_dom(X2),X3),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_dom(X2),X3),X0),sK6_skl(X1,relation_composition(relation_dom(X2),X3),X0),relation_composition(relation_dom(X2),X3),X3,relation_dom(X2))),relation_dom(X2),X2)),X2)
| ~ relation(X2)
| ~ relation(X3)
| ~ relation(relation_dom(X2))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_dom(X2),X3),X0),sK5_skl(X1,relation_composition(relation_dom(X2),X3),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_dom(X2),X3))
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f252,f156]) ).
fof(f661,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(ordered_pair(sK6_skl(X1,relation_composition(relation_dom(X2),X3),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_dom(X2),X3),X0),sK6_skl(X1,relation_composition(relation_dom(X2),X3),X0),relation_composition(relation_dom(X2),X3),X3,relation_dom(X2))),apply(X2,ordered_pair(sK6_skl(X1,relation_composition(relation_dom(X2),X3),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_dom(X2),X3),X0),sK6_skl(X1,relation_composition(relation_dom(X2),X3),X0),relation_composition(relation_dom(X2),X3),X3,relation_dom(X2))))),X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X3)
| ~ relation(relation_dom(X2))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_dom(X2),X3),X0),sK5_skl(X1,relation_composition(relation_dom(X2),X3),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_dom(X2),X3))
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f252,f153]) ).
fof(f663,definition,
! [X0,X1,X2] :
( sQ56_spl
<=> ( sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,X2),X0),sK6_skl(X1,relation_composition(sK14_skl,X2),X0),relation_composition(sK14_skl,X2),X2,sK14_skl) = apply(sK14_skl,sK6_skl(X1,relation_composition(sK14_skl,X2),X0))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,X2),X0),sK5_skl(X1,relation_composition(sK14_skl,X2),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,X2))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f664,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,X2),X0),sK6_skl(X1,relation_composition(sK14_skl,X2),X0),relation_composition(sK14_skl,X2),X2,sK14_skl) = apply(sK14_skl,sK6_skl(X1,relation_composition(sK14_skl,X2),X0))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,X2),X0),sK5_skl(X1,relation_composition(sK14_skl,X2),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,X2))
| ~ relation(X1)
| ~ relation(X0) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,plain,
( ~ sQ20_spl
| ~ sQ9_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f655,f663,f221,f306]) ).
fof(f667,definition,
! [X0,X1,X2] :
( sQ57_spl
<=> ( sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,X2),X0),sK6_skl(X1,relation_composition(sK15_skl,X2),X0),relation_composition(sK15_skl,X2),X2,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,X2),X0))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,X2),X0),sK5_skl(X1,relation_composition(sK15_skl,X2),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,X2))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f668,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,X2),X0),sK6_skl(X1,relation_composition(sK15_skl,X2),X0),relation_composition(sK15_skl,X2),X2,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,X2),X0))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,X2),X0),sK5_skl(X1,relation_composition(sK15_skl,X2),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,X2))
| ~ relation(X1)
| ~ relation(X0) ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f656,f667,f217,f302]) ).
fof(f674,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK6_skl(X2,X1,X0),sK0_skl(sK6_skl(X2,X1,X0),relation_dom(X1),X1)),X1)
| ~ relation(X1)
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f253,f156]) ).
fof(f675,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK6_skl(X2,X1,X0),apply(X1,sK6_skl(X2,X1,X0))),X1)
| ~ function(X1)
| ~ relation(X1)
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f253,f153]) ).
fof(f676,plain,
! [X0,X1,X2] :
( ~ in(relation_dom(X1),sK6_skl(X2,X1,X0))
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f253,f43]) ).
fof(f677,plain,
! [X0,X1] :
( in(sK6_skl(X1,sK9_skl,X0),sK9_skl)
| in(ordered_pair(sK4_skl(X1,sK9_skl,X0),sK5_skl(X1,sK9_skl,X0)),X1)
| X1 = relation_composition(X0,sK9_skl)
| ~ relation(X1)
| ~ relation(sK9_skl)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f253]) ).
fof(f678,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK6_skl(X2,X1,X0),sK0_skl(sK6_skl(X2,X1,X0),relation_dom(X1),X1)),X1)
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f674]) ).
fof(f679,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK6_skl(X2,X1,X0),apply(X1,sK6_skl(X2,X1,X0))),X1)
| ~ function(X1)
| in(ordered_pair(sK4_skl(X2,X1,X0),sK5_skl(X2,X1,X0)),X2)
| X2 = relation_composition(X0,X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f675]) ).
fof(f680,definition,
! [X0,X1] :
( sQ58_spl
<=> ( in(sK6_skl(X1,sK9_skl,X0),sK9_skl)
| in(ordered_pair(sK4_skl(X1,sK9_skl,X0),sK5_skl(X1,sK9_skl,X0)),X1)
| X1 = relation_composition(X0,sK9_skl)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( ~ sQ44_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f677,f680,f585]) ).
fof(f684,plain,
( sQ47_spl
| ~ empty(sK9_skl) ),
inference(resolution,[status(thm)],[f597,f45]) ).
fof(f685,plain,
( sQ47_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f684,f611,f595]) ).
fof(f700,plain,
! [X0] :
( ~ sQ47_spl
| apply(sK9_skl,X0) = sK9_skl
| in(X0,relation_dom(sK9_skl))
| ~ relation(sK9_skl) ),
inference(resolution,[status(thm)],[f596,f509]) ).
fof(f701,plain,
! [X0,X1] :
( ~ sQ47_spl
| ~ in(ordered_pair(X1,X0),sK9_skl)
| X0 = apply(sK9_skl,X1)
| ~ relation(sK9_skl) ),
inference(resolution,[status(thm)],[f596,f165]) ).
fof(f702,definition,
! [X0] :
( sQ59_spl
<=> ( apply(sK9_skl,X0) = sK9_skl
| in(X0,relation_dom(sK9_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( ~ sQ47_spl
| sQ59_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f700,f585,f702,f595]) ).
fof(f706,definition,
! [X0,X1] :
( sQ60_spl
<=> ( ~ in(ordered_pair(X1,X0),sK9_skl)
| X0 = apply(sK9_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( ~ sQ47_spl
| sQ60_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f701,f585,f706,f595]) ).
fof(f711,plain,
! [X0] : ~ in(X0,sK9_skl),
inference(forward_demodulation,[status(thm)],[f432,f433]) ).
fof(f714,plain,
! [X0,X1,X2] :
( ~ relation(sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,sK9_skl),X0),sK5_skl(X1,relation_composition(X2,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f711,f251]) ).
fof(f715,plain,
! [X0,X1,X2] :
( ~ relation(sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,sK9_skl)),sK5_skl(X1,X0,relation_composition(X2,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(X2,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f711,f208]) ).
fof(f716,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,X2),X0),sK5_skl(X1,relation_composition(sK9_skl,X2),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,X2))
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f711,f252]) ).
fof(f717,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,sK9_skl,X0),sK5_skl(X1,sK9_skl,X0)),X1)
| X1 = relation_composition(X0,sK9_skl)
| ~ relation(X1)
| ~ relation(sK9_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f711,f74]) ).
fof(f718,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,X2)),sK5_skl(X1,X0,relation_composition(sK9_skl,X2))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,X2),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f711,f209]) ).
fof(f719,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK5_skl(X1,X0,sK9_skl)),X1)
| X1 = relation_composition(sK9_skl,X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation(sK9_skl) ),
inference(resolution,[status(thm)],[f711,f73]) ).
fof(f720,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(sK9_skl)
| ~ relation(sK9_skl) ),
inference(resolution,[status(thm)],[f711,f63]) ).
fof(f721,definition,
! [X0,X1,X2] :
( sQ61_spl
<=> ( ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,sK9_skl),X0),sK5_skl(X1,relation_composition(X2,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( ~ sQ44_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f714,f721,f585]) ).
fof(f725,definition,
! [X0,X1,X2] :
( sQ62_spl
<=> ( ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,sK9_skl)),sK5_skl(X1,X0,relation_composition(X2,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(X2,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( ~ sQ44_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f715,f725,f585]) ).
fof(f729,definition,
! [X0,X1,X2] :
( sQ63_spl
<=> ( ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,X2),X0),sK5_skl(X1,relation_composition(sK9_skl,X2),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,X2))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( ~ sQ44_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f716,f729,f585]) ).
fof(f733,definition,
! [X0,X1] :
( sQ64_spl
<=> ( in(ordered_pair(sK4_skl(X1,sK9_skl,X0),sK5_skl(X1,sK9_skl,X0)),X1)
| X1 = relation_composition(X0,sK9_skl)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( ~ sQ44_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f717,f733,f585]) ).
fof(f737,definition,
! [X0,X1,X2] :
( sQ65_spl
<=> ( ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,X2)),sK5_skl(X1,X0,relation_composition(sK9_skl,X2))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,X2),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f740,plain,
( ~ sQ44_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f718,f737,f585]) ).
fof(f741,definition,
! [X0,X1] :
( sQ66_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK5_skl(X1,X0,sK9_skl)),X1)
| X1 = relation_composition(sK9_skl,X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f742,plain,
! [X0,X1] :
( ~ sQ66_spl
| in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK5_skl(X1,X0,sK9_skl)),X1)
| X1 = relation_composition(sK9_skl,X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,plain,
( sQ66_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f719,f585,f741]) ).
fof(f745,definition,
! [X0] :
( sQ67_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( sQ67_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f720,f585,f745]) ).
fof(f768,plain,
! [X0,X1,X2] :
( ~ empty(relation_dom(X2))
| in(ordered_pair(ordered_pair(sK4_skl(X1,X0,relation_dom(X2)),sK6_skl(X1,X0,relation_dom(X2))),sK0_skl(ordered_pair(sK4_skl(X1,X0,relation_dom(X2)),sK6_skl(X1,X0,relation_dom(X2))),relation_dom(X2),X2)),X2)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_dom(X2)),sK5_skl(X1,X0,relation_dom(X2))),X1)
| X1 = relation_composition(relation_dom(X2),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f205,f47]) ).
fof(f769,plain,
! [X0,X1] :
( in(ordered_pair(ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK6_skl(X1,X0,relation_dom(sK9_skl))),sK0_skl(ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK6_skl(X1,X0,relation_dom(sK9_skl))),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK5_skl(X1,X0,relation_dom(sK9_skl))),X1)
| X1 = relation_composition(relation_dom(sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f205]) ).
fof(f771,definition,
! [X0,X1] :
( sQ68_spl
<=> ( in(ordered_pair(ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK6_skl(X1,X0,relation_dom(sK9_skl))),sK0_skl(ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK6_skl(X1,X0,relation_dom(sK9_skl))),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK5_skl(X1,X0,relation_dom(sK9_skl))),X1)
| X1 = relation_composition(relation_dom(sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( sQ68_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f769,f585,f771]) ).
fof(f785,plain,
! [X0,X1,X2] :
( ~ empty(relation_dom(X2))
| in(ordered_pair(ordered_pair(sK6_skl(X1,relation_dom(X2),X0),sK5_skl(X1,relation_dom(X2),X0)),sK0_skl(ordered_pair(sK6_skl(X1,relation_dom(X2),X0),sK5_skl(X1,relation_dom(X2),X0)),relation_dom(X2),X2)),X2)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_dom(X2),X0),sK5_skl(X1,relation_dom(X2),X0)),X1)
| X1 = relation_composition(X0,relation_dom(X2))
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f248,f47]) ).
fof(f786,plain,
! [X0,X1] :
( in(ordered_pair(ordered_pair(sK6_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)),sK0_skl(ordered_pair(sK6_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_dom(sK9_skl))
| ~ relation(X1)
| ~ relation(sK9_skl)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f248]) ).
fof(f788,definition,
! [X0,X1] :
( sQ69_spl
<=> ( in(ordered_pair(ordered_pair(sK6_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)),sK0_skl(ordered_pair(sK6_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_dom(sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ44_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f786,f788,f585]) ).
fof(f801,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ in(ordered_pair(sK1_skl(relation_dom(sK15_skl),X0),X1),X0)
| relation_dom(sK15_skl) = relation_dom(X0)
| ~ relation(X0)
| apply(sK15_skl,sK1_skl(relation_dom(sK15_skl),X0)) = sK9_skl ),
inference(resolution,[status(thm)],[f525,f62]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| ~ in(ordered_pair(X2,sK5_skl(relation_dom(sK15_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(relation_dom(sK15_skl),X0,X1),X2),X1)
| relation_dom(sK15_skl) = relation_composition(X1,X0)
| ~ relation(relation_dom(sK15_skl))
| ~ relation(X0)
| ~ relation(X1)
| apply(sK15_skl,ordered_pair(sK4_skl(relation_dom(sK15_skl),X0,X1),sK5_skl(relation_dom(sK15_skl),X0,X1))) = sK9_skl ),
inference(resolution,[status(thm)],[f525,f72]) ).
fof(f803,plain,
! [X0,X1] :
( ~ sQ42_spl
| in(X0,relation_dom(relation_dom(sK15_skl)))
| ~ relation(relation_dom(sK15_skl))
| apply(sK15_skl,ordered_pair(X0,X1)) = sK9_skl ),
inference(resolution,[status(thm)],[f525,f157]) ).
fof(f804,plain,
! [X0] :
( ~ sQ42_spl
| in(ordered_pair(X0,sK0_skl(X0,relation_dom(sK15_skl),sK15_skl)),sK15_skl)
| ~ relation(sK15_skl)
| apply(sK15_skl,X0) = sK9_skl ),
inference(resolution,[status(thm)],[f525,f156]) ).
fof(f805,plain,
! [X0] :
( ~ sQ42_spl
| in(ordered_pair(X0,apply(sK15_skl,X0)),sK15_skl)
| ~ function(sK15_skl)
| ~ relation(sK15_skl)
| apply(sK15_skl,X0) = sK9_skl ),
inference(resolution,[status(thm)],[f525,f153]) ).
fof(f806,plain,
! [X0] :
( ~ sQ42_spl
| ~ in(relation_dom(sK15_skl),X0)
| apply(sK15_skl,X0) = sK9_skl ),
inference(resolution,[status(thm)],[f525,f43]) ).
fof(f807,definition,
! [X0,X1,X2] :
( sQ70_spl
<=> ( ~ in(ordered_pair(X2,sK5_skl(relation_dom(sK15_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(relation_dom(sK15_skl),X0,X1),X2),X1)
| relation_dom(sK15_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| apply(sK15_skl,ordered_pair(sK4_skl(relation_dom(sK15_skl),X0,X1),sK5_skl(relation_dom(sK15_skl),X0,X1))) = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f810,definition,
( sQ71_spl
<=> relation(relation_dom(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( sQ71_spl
| ~ relation(relation_dom(sK15_skl)) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,plain,
( ~ sQ42_spl
| ~ sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f802,f807,f810,f524]) ).
fof(f814,definition,
! [X0,X1] :
( sQ72_spl
<=> ( in(X0,relation_dom(relation_dom(sK15_skl)))
| apply(sK15_skl,ordered_pair(X0,X1)) = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ42_spl
| ~ sQ71_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f803,f814,f810,f524]) ).
fof(f818,definition,
! [X0] :
( sQ73_spl
<=> ( in(ordered_pair(X0,sK0_skl(X0,relation_dom(sK15_skl),sK15_skl)),sK15_skl)
| apply(sK15_skl,X0) = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f819,plain,
! [X0] :
( ~ sQ73_spl
| in(ordered_pair(X0,sK0_skl(X0,relation_dom(sK15_skl),sK15_skl)),sK15_skl)
| apply(sK15_skl,X0) = sK9_skl ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f821,plain,
( ~ sQ42_spl
| ~ sQ8_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f804,f818,f217,f524]) ).
fof(f822,definition,
! [X0] :
( sQ74_spl
<=> ( in(ordered_pair(X0,apply(sK15_skl,X0)),sK15_skl)
| apply(sK15_skl,X0) = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f823,plain,
! [X0] :
( ~ sQ74_spl
| in(ordered_pair(X0,apply(sK15_skl,X0)),sK15_skl)
| apply(sK15_skl,X0) = sK9_skl ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( ~ sQ42_spl
| ~ sQ35_spl
| ~ sQ8_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f805,f822,f217,f462,f524]) ).
fof(f833,plain,
( sQ71_spl
| ~ empty(sK15_skl) ),
inference(resolution,[status(thm)],[f812,f98]) ).
fof(f835,plain,
( sQ71_spl
| ~ empty(relation_dom(sK15_skl))
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f833,f95]) ).
fof(f836,definition,
( sQ76_spl
<=> empty(relation_dom(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( sQ76_spl
| ~ empty(relation_dom(sK15_skl)) ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,plain,
( sQ71_spl
| ~ sQ76_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f835,f217,f836,f810]) ).
fof(f842,plain,
! [X0,X1] :
( in(ordered_pair(ordered_pair(sK6_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)),apply(sK9_skl,ordered_pair(sK6_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)))),sK9_skl)
| ~ function(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_dom(sK9_skl))
| ~ relation(X1)
| ~ relation(sK9_skl)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f249]) ).
fof(f844,definition,
! [X0,X1] :
( sQ77_spl
<=> ( in(ordered_pair(ordered_pair(sK6_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)),apply(sK9_skl,ordered_pair(sK6_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_dom(sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f842,f844,f585,f595]) ).
fof(f870,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| ~ relation(sK9_skl)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,sK9_skl))
| X0 = apply(relation_composition(X1,sK9_skl),X2) ),
inference(resolution,[status(thm)],[f301,f596]) ).
fof(f871,plain,
! [X0,X1,X2] :
( ~ relation(sK8_skl)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,sK8_skl))
| X0 = apply(relation_composition(X1,sK8_skl),X2) ),
inference(resolution,[status(thm)],[f301,f104]) ).
fof(f872,plain,
! [X0,X1,X2,X3,X4] :
( ~ function(X3)
| ~ relation(X3)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(relation_composition(X2,X3))
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X4,X0),relation_composition(X1,relation_composition(X2,X3)))
| X0 = apply(relation_composition(X1,relation_composition(X2,X3)),X4) ),
inference(resolution,[status(thm)],[f301,f87]) ).
fof(f873,plain,
! [X0,X1,X2] :
( ~ relation(sK15_skl)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,sK15_skl))
| X0 = apply(relation_composition(X1,sK15_skl),X2) ),
inference(resolution,[status(thm)],[f301,f127]) ).
fof(f874,plain,
! [X0,X1,X2] :
( ~ relation(sK14_skl)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,sK14_skl))
| X0 = apply(relation_composition(X1,sK14_skl),X2) ),
inference(resolution,[status(thm)],[f301,f125]) ).
fof(f876,definition,
! [X0,X1,X2] :
( sQ78_spl
<=> ( ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,sK9_skl))
| X0 = apply(relation_composition(X1,sK9_skl),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f870,f876,f585,f595]) ).
fof(f880,definition,
! [X0,X1,X2] :
( sQ79_spl
<=> ( ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,sK8_skl))
| X0 = apply(relation_composition(X1,sK8_skl),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f881,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,sK8_skl))
| X0 = apply(relation_composition(X1,sK8_skl),X2) ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,plain,
( ~ sQ17_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f871,f880,f294]) ).
fof(f884,plain,
! [X0,X1,X2,X3,X4] :
( ~ function(X3)
| ~ relation(X3)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X4,X0),relation_composition(X1,relation_composition(X2,X3)))
| X0 = apply(relation_composition(X1,relation_composition(X2,X3)),X4) ),
inference(forward_subsumption_resolution,[status(thm)],[f872,f76]) ).
fof(f885,definition,
! [X0,X1,X2] :
( sQ80_spl
<=> ( ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,sK15_skl))
| X0 = apply(relation_composition(X1,sK15_skl),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f886,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,sK15_skl))
| X0 = apply(relation_composition(X1,sK15_skl),X2) ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( ~ sQ8_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f873,f885,f217]) ).
fof(f889,definition,
! [X0,X1,X2] :
( sQ81_spl
<=> ( ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,sK14_skl))
| X0 = apply(relation_composition(X1,sK14_skl),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f890,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,sK14_skl))
| X0 = apply(relation_composition(X1,sK14_skl),X2) ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( ~ sQ9_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f874,f889,f221]) ).
fof(f894,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ relation(sK8_skl)
| ~ relation(X1)
| in(ordered_pair(sK4_skl(X0,relation_composition(X1,sK8_skl),X2),sK5_skl(X0,relation_composition(X1,sK8_skl),X2)),X0)
| X0 = relation_composition(X2,relation_composition(X1,sK8_skl))
| ~ relation(X0)
| ~ relation(X2)
| sK5_skl(X0,relation_composition(X1,sK8_skl),X2) = apply(sK8_skl,sK3_skl(sK5_skl(X0,relation_composition(X1,sK8_skl),X2),sK6_skl(X0,relation_composition(X1,sK8_skl),X2),relation_composition(X1,sK8_skl),sK8_skl,X1)) ),
inference(resolution,[status(thm)],[f298,f251]) ).
fof(f895,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ relation(sK8_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X0,X1,relation_composition(X2,sK8_skl)),sK5_skl(X0,X1,relation_composition(X2,sK8_skl))),X0)
| X0 = relation_composition(relation_composition(X2,sK8_skl),X1)
| ~ relation(X0)
| ~ relation(X1)
| sK6_skl(X0,X1,relation_composition(X2,sK8_skl)) = apply(sK8_skl,sK3_skl(sK6_skl(X0,X1,relation_composition(X2,sK8_skl)),sK4_skl(X0,X1,relation_composition(X2,sK8_skl)),relation_composition(X2,sK8_skl),sK8_skl,X2)) ),
inference(resolution,[status(thm)],[f298,f208]) ).
fof(f896,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ relation(X1)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X0,relation_composition(sK8_skl,X1),X2),sK5_skl(X0,relation_composition(sK8_skl,X1),X2)),X0)
| X0 = relation_composition(X2,relation_composition(sK8_skl,X1))
| ~ relation(X0)
| ~ relation(X2)
| sK3_skl(sK5_skl(X0,relation_composition(sK8_skl,X1),X2),sK6_skl(X0,relation_composition(sK8_skl,X1),X2),relation_composition(sK8_skl,X1),X1,sK8_skl) = apply(sK8_skl,sK6_skl(X0,relation_composition(sK8_skl,X1),X2)) ),
inference(resolution,[status(thm)],[f298,f252]) ).
fof(f897,plain,
! [X0,X1] :
( ~ sQ18_spl
| in(ordered_pair(sK4_skl(X0,sK8_skl,X1),sK5_skl(X0,sK8_skl,X1)),X0)
| X0 = relation_composition(X1,sK8_skl)
| ~ relation(X0)
| ~ relation(sK8_skl)
| ~ relation(X1)
| sK5_skl(X0,sK8_skl,X1) = apply(sK8_skl,sK6_skl(X0,sK8_skl,X1)) ),
inference(resolution,[status(thm)],[f298,f74]) ).
fof(f898,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ relation(X2)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X0,X1,relation_composition(sK8_skl,X2)),sK5_skl(X0,X1,relation_composition(sK8_skl,X2))),X0)
| X0 = relation_composition(relation_composition(sK8_skl,X2),X1)
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK6_skl(X0,X1,relation_composition(sK8_skl,X2)),sK4_skl(X0,X1,relation_composition(sK8_skl,X2)),relation_composition(sK8_skl,X2),X2,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,relation_composition(sK8_skl,X2))) ),
inference(resolution,[status(thm)],[f298,f209]) ).
fof(f899,plain,
! [X0,X1] :
( ~ sQ18_spl
| in(ordered_pair(sK4_skl(X0,X1,sK8_skl),sK5_skl(X0,X1,sK8_skl)),X0)
| X0 = relation_composition(sK8_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| ~ relation(sK8_skl)
| sK6_skl(X0,X1,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,sK8_skl)) ),
inference(resolution,[status(thm)],[f298,f73]) ).
fof(f900,plain,
! [X0] :
( ~ sQ18_spl
| in(sK1_skl(X0,sK8_skl),X0)
| X0 = relation_dom(sK8_skl)
| ~ relation(sK8_skl)
| sK2_skl(X0,sK8_skl) = apply(sK8_skl,sK1_skl(X0,sK8_skl)) ),
inference(resolution,[status(thm)],[f298,f63]) ).
fof(f901,definition,
! [X0,X1,X2] :
( sQ82_spl
<=> ( ~ relation(X1)
| in(ordered_pair(sK4_skl(X0,relation_composition(X1,sK8_skl),X2),sK5_skl(X0,relation_composition(X1,sK8_skl),X2)),X0)
| X0 = relation_composition(X2,relation_composition(X1,sK8_skl))
| ~ relation(X0)
| ~ relation(X2)
| sK5_skl(X0,relation_composition(X1,sK8_skl),X2) = apply(sK8_skl,sK3_skl(sK5_skl(X0,relation_composition(X1,sK8_skl),X2),sK6_skl(X0,relation_composition(X1,sK8_skl),X2),relation_composition(X1,sK8_skl),sK8_skl,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f894,f901,f294,f297]) ).
fof(f905,definition,
! [X0,X1,X2] :
( sQ83_spl
<=> ( ~ relation(X2)
| in(ordered_pair(sK4_skl(X0,X1,relation_composition(X2,sK8_skl)),sK5_skl(X0,X1,relation_composition(X2,sK8_skl))),X0)
| X0 = relation_composition(relation_composition(X2,sK8_skl),X1)
| ~ relation(X0)
| ~ relation(X1)
| sK6_skl(X0,X1,relation_composition(X2,sK8_skl)) = apply(sK8_skl,sK3_skl(sK6_skl(X0,X1,relation_composition(X2,sK8_skl)),sK4_skl(X0,X1,relation_composition(X2,sK8_skl)),relation_composition(X2,sK8_skl),sK8_skl,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f895,f905,f294,f297]) ).
fof(f909,definition,
! [X0,X1,X2] :
( sQ84_spl
<=> ( ~ relation(X1)
| in(ordered_pair(sK4_skl(X0,relation_composition(sK8_skl,X1),X2),sK5_skl(X0,relation_composition(sK8_skl,X1),X2)),X0)
| X0 = relation_composition(X2,relation_composition(sK8_skl,X1))
| ~ relation(X0)
| ~ relation(X2)
| sK3_skl(sK5_skl(X0,relation_composition(sK8_skl,X1),X2),sK6_skl(X0,relation_composition(sK8_skl,X1),X2),relation_composition(sK8_skl,X1),X1,sK8_skl) = apply(sK8_skl,sK6_skl(X0,relation_composition(sK8_skl,X1),X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f910,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| ~ relation(X1)
| in(ordered_pair(sK4_skl(X0,relation_composition(sK8_skl,X1),X2),sK5_skl(X0,relation_composition(sK8_skl,X1),X2)),X0)
| X0 = relation_composition(X2,relation_composition(sK8_skl,X1))
| ~ relation(X0)
| ~ relation(X2)
| sK3_skl(sK5_skl(X0,relation_composition(sK8_skl,X1),X2),sK6_skl(X0,relation_composition(sK8_skl,X1),X2),relation_composition(sK8_skl,X1),X1,sK8_skl) = apply(sK8_skl,sK6_skl(X0,relation_composition(sK8_skl,X1),X2)) ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f896,f909,f294,f297]) ).
fof(f913,definition,
! [X0,X1] :
( sQ85_spl
<=> ( in(ordered_pair(sK4_skl(X0,sK8_skl,X1),sK5_skl(X0,sK8_skl,X1)),X0)
| X0 = relation_composition(X1,sK8_skl)
| ~ relation(X0)
| ~ relation(X1)
| sK5_skl(X0,sK8_skl,X1) = apply(sK8_skl,sK6_skl(X0,sK8_skl,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f897,f913,f294,f297]) ).
fof(f917,definition,
! [X0,X1,X2] :
( sQ86_spl
<=> ( ~ relation(X2)
| in(ordered_pair(sK4_skl(X0,X1,relation_composition(sK8_skl,X2)),sK5_skl(X0,X1,relation_composition(sK8_skl,X2))),X0)
| X0 = relation_composition(relation_composition(sK8_skl,X2),X1)
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK6_skl(X0,X1,relation_composition(sK8_skl,X2)),sK4_skl(X0,X1,relation_composition(sK8_skl,X2)),relation_composition(sK8_skl,X2),X2,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,relation_composition(sK8_skl,X2))) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f918,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X0,X1,relation_composition(sK8_skl,X2)),sK5_skl(X0,X1,relation_composition(sK8_skl,X2))),X0)
| X0 = relation_composition(relation_composition(sK8_skl,X2),X1)
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK6_skl(X0,X1,relation_composition(sK8_skl,X2)),sK4_skl(X0,X1,relation_composition(sK8_skl,X2)),relation_composition(sK8_skl,X2),X2,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,relation_composition(sK8_skl,X2))) ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f920,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f898,f917,f294,f297]) ).
fof(f921,definition,
! [X0,X1] :
( sQ87_spl
<=> ( in(ordered_pair(sK4_skl(X0,X1,sK8_skl),sK5_skl(X0,X1,sK8_skl)),X0)
| X0 = relation_composition(sK8_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| sK6_skl(X0,X1,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f922,plain,
! [X0,X1] :
( ~ sQ87_spl
| in(ordered_pair(sK4_skl(X0,X1,sK8_skl),sK5_skl(X0,X1,sK8_skl)),X0)
| X0 = relation_composition(sK8_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| sK6_skl(X0,X1,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,sK8_skl)) ),
inference(component_clause,[status(thm)],[f921]) ).
fof(f924,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f899,f921,f294,f297]) ).
fof(f925,definition,
! [X0] :
( sQ88_spl
<=> ( in(sK1_skl(X0,sK8_skl),X0)
| X0 = relation_dom(sK8_skl)
| sK2_skl(X0,sK8_skl) = apply(sK8_skl,sK1_skl(X0,sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f900,f925,f294,f297]) ).
fof(f931,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ42_spl
| apply(sK15_skl,ordered_pair(sK4_skl(relation_composition(X0,X1),X2,relation_dom(sK15_skl)),X4)) = sK9_skl
| ~ in(ordered_pair(X4,sK5_skl(relation_composition(X0,X1),X2,relation_dom(sK15_skl))),X2)
| relation_composition(X0,X1) = relation_composition(relation_dom(sK15_skl),X2)
| ~ relation(X2)
| ~ relation(relation_dom(sK15_skl))
| ~ in(ordered_pair(X3,sK5_skl(relation_composition(X0,X1),X2,relation_dom(sK15_skl))),X1)
| ~ in(ordered_pair(sK4_skl(relation_composition(X0,X1),X2,relation_dom(sK15_skl)),X3),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f318,f525]) ).
fof(f934,definition,
! [X0,X1,X2,X3,X4] :
( sQ89_spl
<=> ( apply(sK15_skl,ordered_pair(sK4_skl(relation_composition(X0,X1),X2,relation_dom(sK15_skl)),X4)) = sK9_skl
| ~ in(ordered_pair(X4,sK5_skl(relation_composition(X0,X1),X2,relation_dom(sK15_skl))),X2)
| relation_composition(X0,X1) = relation_composition(relation_dom(sK15_skl),X2)
| ~ relation(X2)
| ~ in(ordered_pair(X3,sK5_skl(relation_composition(X0,X1),X2,relation_dom(sK15_skl))),X1)
| ~ in(ordered_pair(sK4_skl(relation_composition(X0,X1),X2,relation_dom(sK15_skl)),X3),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f937,plain,
( ~ sQ42_spl
| ~ sQ71_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f931,f934,f810,f524]) ).
fof(f938,plain,
! [X0,X1,X2,X3] :
( ~ sQ18_spl
| X3 = apply(sK8_skl,sK3_skl(X3,X1,relation_composition(X0,sK8_skl),sK8_skl,X0))
| ~ in(ordered_pair(X2,X3),sK8_skl)
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(sK8_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f319,f298]) ).
fof(f939,plain,
! [X0,X1,X2,X3] :
( ~ sQ20_spl
| X3 = apply(sK14_skl,sK3_skl(X3,X1,relation_composition(X0,sK14_skl),sK14_skl,X0))
| ~ in(ordered_pair(X2,X3),sK14_skl)
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(sK14_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f319,f307]) ).
fof(f940,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| X3 = apply(sK15_skl,sK3_skl(X3,X1,relation_composition(X0,sK15_skl),sK15_skl,X0))
| ~ in(ordered_pair(X2,X3),sK15_skl)
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(sK15_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f319,f303]) ).
fof(f944,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X2,X3),sK9_skl)
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(sK9_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f319,f711]) ).
fof(f945,plain,
! [X0,X1,X2,X3,X4] :
( in(ordered_pair(ordered_pair(sK3_skl(X4,X2,relation_composition(X0,relation_dom(X1)),relation_dom(X1),X0),X4),sK0_skl(ordered_pair(sK3_skl(X4,X2,relation_composition(X0,relation_dom(X1)),relation_dom(X1),X0),X4),relation_dom(X1),X1)),X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X4),relation_dom(X1))
| ~ in(ordered_pair(X2,X3),X0)
| ~ relation(relation_dom(X1))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f319,f156]) ).
fof(f946,plain,
! [X0,X1,X2,X3,X4] :
( in(ordered_pair(ordered_pair(sK3_skl(X4,X2,relation_composition(X0,relation_dom(X1)),relation_dom(X1),X0),X4),apply(X1,ordered_pair(sK3_skl(X4,X2,relation_composition(X0,relation_dom(X1)),relation_dom(X1),X0),X4))),X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X4),relation_dom(X1))
| ~ in(ordered_pair(X2,X3),X0)
| ~ relation(relation_dom(X1))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f319,f153]) ).
fof(f948,definition,
! [X0,X1,X2,X3] :
( sQ90_spl
<=> ( X3 = apply(sK8_skl,sK3_skl(X3,X1,relation_composition(X0,sK8_skl),sK8_skl,X0))
| ~ in(ordered_pair(X2,X3),sK8_skl)
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f951,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f938,f948,f294,f297]) ).
fof(f952,definition,
! [X0,X1,X2,X3] :
( sQ91_spl
<=> ( X3 = apply(sK14_skl,sK3_skl(X3,X1,relation_composition(X0,sK14_skl),sK14_skl,X0))
| ~ in(ordered_pair(X2,X3),sK14_skl)
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ20_spl
| ~ sQ9_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f939,f952,f221,f306]) ).
fof(f956,definition,
! [X0,X1,X2,X3] :
( sQ92_spl
<=> ( X3 = apply(sK15_skl,sK3_skl(X3,X1,relation_composition(X0,sK15_skl),sK15_skl,X0))
| ~ in(ordered_pair(X2,X3),sK15_skl)
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f940,f956,f217,f302]) ).
fof(f963,definition,
! [X0,X1,X2,X3] :
( sQ93_spl
<=> ( ~ in(ordered_pair(X2,X3),sK9_skl)
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ44_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f944,f963,f585]) ).
fof(f974,plain,
( sQ76_spl
| ~ empty(relation_dom(relation_dom(sK15_skl)))
| ~ relation(relation_dom(sK15_skl)) ),
inference(resolution,[status(thm)],[f838,f95]) ).
fof(f975,definition,
( sQ94_spl
<=> empty(relation_dom(relation_dom(sK15_skl))) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( sQ76_spl
| ~ sQ94_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f974,f810,f975,f836]) ).
fof(f982,plain,
! [X0,X1,X2,X3] :
( ~ sQ18_spl
| sK3_skl(X3,X1,relation_composition(sK8_skl,X0),X0,sK8_skl) = apply(sK8_skl,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),sK8_skl)
| ~ relation(X0)
| ~ relation(sK8_skl) ),
inference(resolution,[status(thm)],[f320,f298]) ).
fof(f983,plain,
! [X0,X1,X2,X3] :
( ~ sQ20_spl
| sK3_skl(X3,X1,relation_composition(sK14_skl,X0),X0,sK14_skl) = apply(sK14_skl,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ relation(X0)
| ~ relation(sK14_skl) ),
inference(resolution,[status(thm)],[f320,f307]) ).
fof(f984,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| sK3_skl(X3,X1,relation_composition(sK15_skl,X0),X0,sK15_skl) = apply(sK15_skl,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),sK15_skl)
| ~ relation(X0)
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f320,f303]) ).
fof(f988,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ relation(X0)
| ~ relation(sK9_skl) ),
inference(resolution,[status(thm)],[f320,f711]) ).
fof(f989,plain,
! [X0,X1,X2,X3,X4] :
( in(ordered_pair(ordered_pair(X2,sK3_skl(X4,X2,relation_composition(relation_dom(X0),X1),X1,relation_dom(X0))),sK0_skl(ordered_pair(X2,sK3_skl(X4,X2,relation_composition(relation_dom(X0),X1),X1,relation_dom(X0))),relation_dom(X0),X0)),X0)
| ~ relation(X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X2,X3),relation_dom(X0))
| ~ relation(X1)
| ~ relation(relation_dom(X0)) ),
inference(resolution,[status(thm)],[f320,f156]) ).
fof(f990,plain,
! [X0,X1,X2,X3,X4] :
( in(ordered_pair(ordered_pair(X2,sK3_skl(X4,X2,relation_composition(relation_dom(X0),X1),X1,relation_dom(X0))),apply(X0,ordered_pair(X2,sK3_skl(X4,X2,relation_composition(relation_dom(X0),X1),X1,relation_dom(X0))))),X0)
| ~ function(X0)
| ~ relation(X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X2,X3),relation_dom(X0))
| ~ relation(X1)
| ~ relation(relation_dom(X0)) ),
inference(resolution,[status(thm)],[f320,f153]) ).
fof(f993,definition,
! [X0,X1,X2,X3] :
( sQ95_spl
<=> ( sK3_skl(X3,X1,relation_composition(sK8_skl,X0),X0,sK8_skl) = apply(sK8_skl,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),sK8_skl)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f996,plain,
( ~ sQ18_spl
| sQ95_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f982,f294,f993,f297]) ).
fof(f997,definition,
! [X0,X1,X2,X3] :
( sQ96_spl
<=> ( sK3_skl(X3,X1,relation_composition(sK14_skl,X0),X0,sK14_skl) = apply(sK14_skl,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1000,plain,
( ~ sQ20_spl
| sQ96_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f983,f221,f997,f306]) ).
fof(f1001,definition,
! [X0,X1,X2,X3] :
( sQ97_spl
<=> ( sK3_skl(X3,X1,relation_composition(sK15_skl,X0),X0,sK15_skl) = apply(sK15_skl,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),sK15_skl)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1004,plain,
( ~ sQ19_spl
| sQ97_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f984,f217,f1001,f302]) ).
fof(f1008,definition,
! [X0,X1,X2,X3] :
( sQ98_spl
<=> ( ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1011,plain,
( sQ98_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f988,f585,f1008]) ).
fof(f1015,plain,
! [X0,X1,X2,X3,X4,X5] :
( in(X2,relation_dom(relation_dom(relation_composition(X0,X1))))
| ~ relation(relation_dom(relation_composition(X0,X1)))
| ~ in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(ordered_pair(X2,X3),X4),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f321,f157]) ).
fof(f1021,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ empty(X0)
| relation_composition(X0,X1) = sK9_skl ),
inference(forward_demodulation,[status(thm)],[f421,f422]) ).
fof(f1022,plain,
! [X0] :
( ~ relation(X0)
| relation_composition(sK9_skl,X0) = sK9_skl ),
inference(resolution,[status(thm)],[f1021,f106]) ).
fof(f1026,plain,
! [X0,X1] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| ~ relation(X1)
| relation_composition(X0,X1) = sK9_skl ),
inference(resolution,[status(thm)],[f1021,f95]) ).
fof(f1029,plain,
! [X0] :
( in(ordered_pair(sK7_skl(relation_dom(X0)),sK0_skl(sK7_skl(relation_dom(X0)),relation_dom(X0),X0)),X0)
| ~ relation(X0)
| empty(relation_dom(X0)) ),
inference(resolution,[status(thm)],[f347,f156]) ).
fof(f1030,plain,
! [X0] :
( in(ordered_pair(sK7_skl(relation_dom(X0)),apply(X0,sK7_skl(relation_dom(X0)))),X0)
| ~ function(X0)
| ~ relation(X0)
| empty(relation_dom(X0)) ),
inference(resolution,[status(thm)],[f347,f153]) ).
fof(f1032,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ empty(X1)
| relation_composition(X0,X1) = sK9_skl ),
inference(forward_demodulation,[status(thm)],[f421,f423]) ).
fof(f1033,plain,
! [X0] :
( ~ relation(X0)
| relation_composition(X0,sK9_skl) = sK9_skl ),
inference(resolution,[status(thm)],[f1032,f106]) ).
fof(f1037,plain,
! [X0,X1] :
( ~ empty(relation_dom(X1))
| ~ relation(X1)
| ~ relation(X0)
| relation_composition(X0,X1) = sK9_skl ),
inference(resolution,[status(thm)],[f1032,f95]) ).
fof(f1038,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| X0 = sK9_skl ),
inference(forward_demodulation,[status(thm)],[f421,f426]) ).
fof(f1041,plain,
( ~ empty(sK9_skl)
| ~ relation(sK9_skl)
| sK9_skl = sK9_skl ),
inference(paramodulation,[status(thm)],[f571,f1038]) ).
fof(f1042,definition,
( sQ99_spl
<=> sK9_skl = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1045,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f1041,f1042,f585,f611]) ).
fof(f1050,plain,
! [X0,X1,X2] :
( ~ empty(relation_dom(X1))
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X0,relation_composition(X1,X2)) ),
inference(resolution,[status(thm)],[f435,f95]) ).
fof(f1055,plain,
! [X0,X1,X2] :
( ~ empty(relation_dom(X2))
| ~ relation(X2)
| ~ relation(X1)
| ~ in(X0,relation_composition(X1,X2)) ),
inference(resolution,[status(thm)],[f436,f95]) ).
fof(f1070,plain,
! [X0] :
( ~ empty(sK9_skl)
| ~ relation(sK9_skl)
| ~ in(X0,sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f438]) ).
fof(f1071,definition,
! [X0] :
( sQ100_spl
<=> ~ in(X0,sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1074,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f1070,f1071,f585,f611]) ).
fof(f1087,plain,
! [X0] :
( ~ empty(sK9_skl)
| ~ relation(sK9_skl)
| X0 = sK9_skl
| ~ empty(X0) ),
inference(paramodulation,[status(thm)],[f571,f444]) ).
fof(f1088,definition,
! [X0] :
( sQ101_spl
<=> ( X0 = sK9_skl
| ~ empty(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1091,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1087,f1088,f585,f611]) ).
fof(f1098,plain,
relation_composition(sK9_skl,sK13_skl) = sK9_skl,
inference(resolution,[status(thm)],[f1022,f116]) ).
fof(f1099,plain,
relation_composition(sK9_skl,sK11_skl) = sK9_skl,
inference(resolution,[status(thm)],[f1022,f112]) ).
fof(f1100,plain,
relation_composition(sK9_skl,sK9_skl) = sK9_skl,
inference(resolution,[status(thm)],[f1022,f107]) ).
fof(f1101,plain,
relation_composition(sK9_skl,sK8_skl) = sK9_skl,
inference(resolution,[status(thm)],[f1022,f103]) ).
fof(f1102,plain,
( ~ sQ3_spl
| relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)) = sK9_skl ),
inference(resolution,[status(thm)],[f1022,f170]) ).
fof(f1107,plain,
relation_composition(sK9_skl,sK15_skl) = sK9_skl,
inference(resolution,[status(thm)],[f1022,f126]) ).
fof(f1108,plain,
relation_composition(sK9_skl,sK14_skl) = sK9_skl,
inference(resolution,[status(thm)],[f1022,f124]) ).
fof(f1110,plain,
! [X0,X1,X2] :
( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK13_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f317]) ).
fof(f1111,plain,
! [X0,X1,X2] :
( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK13_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f321]) ).
fof(f1112,plain,
! [X0,X1,X2] :
( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK13_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK13_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f320]) ).
fof(f1113,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK13_skl,sK9_skl),X2),sK13_skl)
| ~ in(ordered_pair(X1,X2),sK13_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f319]) ).
fof(f1114,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,sK13_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,sK13_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,sK13_skl),X0,X1)),sK13_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,sK13_skl),X0,X1),X2),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f318]) ).
fof(f1115,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK9_skl,sK13_skl,sK9_skl)),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f252]) ).
fof(f1116,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f252]) ).
fof(f1117,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f252]) ).
fof(f1118,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f252]) ).
fof(f1119,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK5_skl(X1,sK9_skl,X0)),sK13_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f251]) ).
fof(f1120,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK9_skl,sK13_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),sK13_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f251]) ).
fof(f1121,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),sK13_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f251]) ).
fof(f1122,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),sK13_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f251]) ).
fof(f1123,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK9_skl,sK13_skl,sK9_skl)),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f209]) ).
fof(f1124,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f209]) ).
fof(f1125,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f209]) ).
fof(f1126,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f209]) ).
fof(f1127,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK6_skl(X1,X0,sK9_skl)),sK13_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f208]) ).
fof(f1128,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK9_skl,sK13_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),sK13_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f208]) ).
fof(f1129,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),sK13_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f208]) ).
fof(f1130,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),sK13_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1098,f208]) ).
fof(f1131,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK13_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK13_skl))),sK13_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f201]) ).
fof(f1132,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK13_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f198]) ).
fof(f1133,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),sK13_skl)
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f183]) ).
fof(f1137,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),X1),sK13_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f199]) ).
fof(f1138,plain,
! [X0,X1] :
( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f196]) ).
fof(f1142,definition,
( sQ102_spl
<=> relation(sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( sQ102_spl
| ~ relation(sK13_skl) ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1145,definition,
! [X0,X1,X2] :
( sQ103_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK13_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( sQ103_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1110,f585,f1142,f1145]) ).
fof(f1149,definition,
! [X0,X1,X2] :
( sQ104_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK13_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
( sQ104_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1111,f585,f1142,f1149]) ).
fof(f1153,definition,
! [X0,X1,X2] :
( sQ105_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK13_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK13_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1156,plain,
( sQ105_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1112,f585,f1142,f1153]) ).
fof(f1157,definition,
! [X0,X1,X2] :
( sQ106_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK13_skl,sK9_skl),X2),sK13_skl)
| ~ in(ordered_pair(X1,X2),sK13_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1160,plain,
( sQ106_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1113,f585,f1142,f1157]) ).
fof(f1161,definition,
! [X0,X1,X2,X3] :
( sQ107_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,sK13_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,sK13_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,sK13_skl),X0,X1)),sK13_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,sK13_skl),X0,X1),X2),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1164,plain,
( sQ107_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1114,f585,f1142,f1161]) ).
fof(f1165,definition,
! [X0,X1] :
( sQ108_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK9_skl,sK13_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1168,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f1115,f1165,f585,f1142]) ).
fof(f1169,definition,
! [X0,X1] :
( sQ109_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1172,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1116,f1169,f585,f1142]) ).
fof(f1173,definition,
! [X0,X1] :
( sQ110_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1176,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1117,f1173,f585,f1142]) ).
fof(f1177,definition,
! [X0,X1] :
( sQ111_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1180,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1118,f1177,f585,f1142]) ).
fof(f1181,definition,
! [X0,X1] :
( sQ112_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK5_skl(X1,sK9_skl,X0)),sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1184,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1119,f1181,f585,f1142]) ).
fof(f1185,definition,
! [X0,X1] :
( sQ113_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK9_skl,sK13_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1188,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1120,f1185,f585,f1142]) ).
fof(f1189,definition,
! [X0,X1] :
( sQ114_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1192,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1121,f1189,f585,f1142]) ).
fof(f1193,definition,
! [X0,X1] :
( sQ115_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK13_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK13_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK13_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1196,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f1122,f1193,f585,f1142]) ).
fof(f1197,definition,
! [X0,X1] :
( sQ116_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK9_skl,sK13_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1200,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f1123,f1197,f585,f1142]) ).
fof(f1201,definition,
! [X0,X1] :
( sQ117_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1204,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1124,f1201,f585,f1142]) ).
fof(f1205,definition,
! [X0,X1] :
( sQ118_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1208,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1125,f1205,f585,f1142]) ).
fof(f1209,definition,
! [X0,X1] :
( sQ119_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1212,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f1126,f1209,f585,f1142]) ).
fof(f1213,definition,
! [X0,X1] :
( sQ120_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK6_skl(X1,X0,sK9_skl)),sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1216,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1127,f1213,f585,f1142]) ).
fof(f1217,definition,
! [X0,X1] :
( sQ121_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK9_skl,sK13_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1220,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1128,f1217,f585,f1142]) ).
fof(f1221,definition,
! [X0,X1] :
( sQ122_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1224,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1129,f1221,f585,f1142]) ).
fof(f1225,definition,
! [X0,X1] :
( sQ123_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK13_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK13_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK13_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1228,plain,
( ~ sQ102_spl
| ~ sQ44_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1130,f1225,f585,f1142]) ).
fof(f1229,definition,
! [X0] :
( sQ124_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK13_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK13_skl))),sK13_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1232,plain,
( sQ124_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1131,f585,f1142,f1229]) ).
fof(f1233,definition,
! [X0] :
( sQ125_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK13_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1236,plain,
( sQ125_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1132,f585,f1142,f1233]) ).
fof(f1237,definition,
! [X0,X1,X2] :
( sQ126_spl
<=> ( ~ in(ordered_pair(X2,X1),sK13_skl)
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1240,plain,
( sQ126_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1133,f585,f1142,f1237]) ).
fof(f1247,definition,
! [X0,X1] :
( sQ128_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),X1),sK13_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( sQ128_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1137,f585,f1142,f1247]) ).
fof(f1251,definition,
! [X0,X1] :
( sQ129_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1254,plain,
( sQ129_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1138,f585,f1142,f1251]) ).
fof(f1261,plain,
( sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1144,f116]) ).
fof(f1262,plain,
sQ102_spl,
inference(contradiction_clause,[status(thm)],[f1261]) ).
fof(f1390,plain,
! [X0,X1] :
( ~ sQ47_spl
| ~ relation(sK9_skl)
| ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(X1,sK9_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(X1,sK9_skl))) ),
inference(resolution,[status(thm)],[f523,f596]) ).
fof(f1391,plain,
! [X0,X1] :
( ~ relation(sK8_skl)
| ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(X1,sK8_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(X1,sK8_skl))) ),
inference(resolution,[status(thm)],[f523,f104]) ).
fof(f1393,plain,
! [X0,X1] :
( ~ relation(sK15_skl)
| ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(X1,sK15_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(X1,sK15_skl))) ),
inference(resolution,[status(thm)],[f523,f127]) ).
fof(f1394,plain,
! [X0,X1] :
( ~ relation(sK14_skl)
| ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(X1,sK14_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(X1,sK14_skl))) ),
inference(resolution,[status(thm)],[f523,f125]) ).
fof(f1396,definition,
! [X0,X1] :
( sQ131_spl
<=> ( ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(X1,sK9_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(X1,sK9_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1399,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f1390,f1396,f585,f595]) ).
fof(f1400,definition,
! [X0,X1] :
( sQ132_spl
<=> ( ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(X1,sK8_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(X1,sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1403,plain,
( ~ sQ17_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1391,f1400,f294]) ).
fof(f1405,definition,
! [X0,X1] :
( sQ133_spl
<=> ( ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(X1,sK15_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(X1,sK15_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1406,plain,
! [X0,X1] :
( ~ sQ133_spl
| ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(X1,sK15_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(X1,sK15_skl))) ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1408,plain,
( ~ sQ8_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1393,f1405,f217]) ).
fof(f1409,definition,
! [X0,X1] :
( sQ134_spl
<=> ( ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(X1,sK14_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(X1,sK14_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1410,plain,
! [X0,X1] :
( ~ sQ134_spl
| ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(X1,sK14_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(X1,sK14_skl))) ),
inference(component_clause,[status(thm)],[f1409]) ).
fof(f1412,plain,
( ~ sQ9_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1394,f1409,f221]) ).
fof(f1414,plain,
! [X0,X1] :
( ~ empty(X0)
| apply(X0,X1) = sK9_skl ),
inference(forward_subsumption_resolution,[status(thm)],[f532,f437]) ).
fof(f1419,plain,
! [X0,X1] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| apply(X0,X1) = sK9_skl ),
inference(resolution,[status(thm)],[f1414,f95]) ).
fof(f1421,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ41_spl
| ~ in(ordered_pair(X3,sK5_skl(relation_composition(X0,X1),X2,relation_dom(sK8_skl))),X2)
| relation_composition(X0,X1) = relation_composition(relation_dom(sK8_skl),X2)
| ~ relation(X2)
| ~ relation(relation_dom(sK8_skl))
| ~ in(ordered_pair(X4,sK5_skl(relation_composition(X0,X1),X2,relation_dom(sK8_skl))),X1)
| ~ in(ordered_pair(sK4_skl(relation_composition(X0,X1),X2,relation_dom(sK8_skl)),X4),X0)
| ~ relation(X1)
| ~ relation(X0)
| apply(sK8_skl,ordered_pair(sK4_skl(relation_composition(X0,X1),X2,relation_dom(sK8_skl)),X3)) = sK9_skl ),
inference(resolution,[status(thm)],[f520,f318]) ).
fof(f1422,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| ~ in(ordered_pair(X2,sK5_skl(relation_dom(sK8_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(relation_dom(sK8_skl),X0,X1),X2),X1)
| relation_dom(sK8_skl) = relation_composition(X1,X0)
| ~ relation(relation_dom(sK8_skl))
| ~ relation(X0)
| ~ relation(X1)
| apply(sK8_skl,ordered_pair(sK4_skl(relation_dom(sK8_skl),X0,X1),sK5_skl(relation_dom(sK8_skl),X0,X1))) = sK9_skl ),
inference(resolution,[status(thm)],[f520,f72]) ).
fof(f1423,plain,
! [X0,X1] :
( ~ sQ41_spl
| in(X0,relation_dom(relation_dom(sK8_skl)))
| ~ relation(relation_dom(sK8_skl))
| apply(sK8_skl,ordered_pair(X0,X1)) = sK9_skl ),
inference(resolution,[status(thm)],[f520,f157]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ41_spl
| in(ordered_pair(X0,sK0_skl(X0,relation_dom(sK8_skl),sK8_skl)),sK8_skl)
| ~ relation(sK8_skl)
| apply(sK8_skl,X0) = sK9_skl ),
inference(resolution,[status(thm)],[f520,f156]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ41_spl
| in(ordered_pair(X0,apply(sK8_skl,X0)),sK8_skl)
| ~ function(sK8_skl)
| ~ relation(sK8_skl)
| apply(sK8_skl,X0) = sK9_skl ),
inference(resolution,[status(thm)],[f520,f153]) ).
fof(f1427,definition,
! [X0,X1,X2,X3,X4] :
( sQ135_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(X0,X1),X2,relation_dom(sK8_skl))),X2)
| relation_composition(X0,X1) = relation_composition(relation_dom(sK8_skl),X2)
| ~ relation(X2)
| ~ in(ordered_pair(X4,sK5_skl(relation_composition(X0,X1),X2,relation_dom(sK8_skl))),X1)
| ~ in(ordered_pair(sK4_skl(relation_composition(X0,X1),X2,relation_dom(sK8_skl)),X4),X0)
| ~ relation(X1)
| ~ relation(X0)
| apply(sK8_skl,ordered_pair(sK4_skl(relation_composition(X0,X1),X2,relation_dom(sK8_skl)),X3)) = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1430,definition,
( sQ136_spl
<=> relation(relation_dom(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1432,plain,
( sQ136_spl
| ~ relation(relation_dom(sK8_skl)) ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1433,plain,
( ~ sQ41_spl
| ~ sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1421,f1427,f1430,f519]) ).
fof(f1434,definition,
! [X0,X1,X2] :
( sQ137_spl
<=> ( ~ in(ordered_pair(X2,sK5_skl(relation_dom(sK8_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(relation_dom(sK8_skl),X0,X1),X2),X1)
| relation_dom(sK8_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| apply(sK8_skl,ordered_pair(sK4_skl(relation_dom(sK8_skl),X0,X1),sK5_skl(relation_dom(sK8_skl),X0,X1))) = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1437,plain,
( ~ sQ41_spl
| ~ sQ136_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1422,f1434,f1430,f519]) ).
fof(f1438,definition,
! [X0,X1] :
( sQ138_spl
<=> ( in(X0,relation_dom(relation_dom(sK8_skl)))
| apply(sK8_skl,ordered_pair(X0,X1)) = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1441,plain,
( ~ sQ41_spl
| ~ sQ136_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1423,f1438,f1430,f519]) ).
fof(f1442,definition,
! [X0] :
( sQ139_spl
<=> ( in(ordered_pair(X0,sK0_skl(X0,relation_dom(sK8_skl),sK8_skl)),sK8_skl)
| apply(sK8_skl,X0) = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1445,plain,
( ~ sQ41_spl
| ~ sQ17_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1424,f1442,f294,f519]) ).
fof(f1446,definition,
! [X0] :
( sQ140_spl
<=> ( in(ordered_pair(X0,apply(sK8_skl,X0)),sK8_skl)
| apply(sK8_skl,X0) = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1449,definition,
( sQ141_spl
<=> function(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1452,plain,
( ~ sQ41_spl
| ~ sQ141_spl
| ~ sQ17_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1425,f1446,f294,f1449,f519]) ).
fof(f1453,plain,
! [X0,X1,X2] :
( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f317]) ).
fof(f1454,plain,
! [X0,X1,X2] :
( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f321]) ).
fof(f1455,plain,
! [X0,X1,X2] :
( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK15_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f320]) ).
fof(f1456,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK15_skl,sK9_skl),X2),sK15_skl)
| ~ in(ordered_pair(X1,X2),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f319]) ).
fof(f1457,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,sK15_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,sK15_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,sK15_skl),X0,X1)),sK15_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,sK15_skl),X0,X1),X2),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f318]) ).
fof(f1458,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK9_skl,sK15_skl,sK9_skl)),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f252]) ).
fof(f1459,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f252]) ).
fof(f1460,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f252]) ).
fof(f1461,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f252]) ).
fof(f1462,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK5_skl(X1,sK9_skl,X0)),sK15_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f251]) ).
fof(f1463,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK9_skl,sK15_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),sK15_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f251]) ).
fof(f1464,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),sK15_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f251]) ).
fof(f1465,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),sK15_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f251]) ).
fof(f1466,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK9_skl,sK15_skl,sK9_skl)),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f209]) ).
fof(f1467,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f209]) ).
fof(f1468,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f209]) ).
fof(f1469,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f209]) ).
fof(f1470,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK6_skl(X1,X0,sK9_skl)),sK15_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f208]) ).
fof(f1471,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK9_skl,sK15_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),sK15_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f208]) ).
fof(f1472,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),sK15_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f208]) ).
fof(f1473,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),sK15_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f208]) ).
fof(f1474,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK15_skl))),sK15_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f201]) ).
fof(f1475,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f198]) ).
fof(f1476,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),sK15_skl)
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f183]) ).
fof(f1480,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),X1),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f199]) ).
fof(f1481,plain,
! [X0,X1] :
( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f196]) ).
fof(f1485,definition,
! [X0,X1,X2] :
( sQ142_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1488,plain,
( sQ142_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1453,f585,f217,f1485]) ).
fof(f1489,definition,
! [X0,X1,X2] :
( sQ143_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1492,plain,
( sQ143_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1454,f585,f217,f1489]) ).
fof(f1493,definition,
! [X0,X1,X2] :
( sQ144_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK15_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1496,plain,
( sQ144_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1455,f585,f217,f1493]) ).
fof(f1497,definition,
! [X0,X1,X2] :
( sQ145_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK15_skl,sK9_skl),X2),sK15_skl)
| ~ in(ordered_pair(X1,X2),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1500,plain,
( sQ145_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1456,f585,f217,f1497]) ).
fof(f1501,definition,
! [X0,X1,X2,X3] :
( sQ146_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,sK15_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,sK15_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,sK15_skl),X0,X1)),sK15_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,sK15_skl),X0,X1),X2),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1504,plain,
( sQ146_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1457,f585,f217,f1501]) ).
fof(f1505,definition,
! [X0,X1] :
( sQ147_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK9_skl,sK15_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1508,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1458,f1505,f585,f217]) ).
fof(f1509,definition,
! [X0,X1] :
( sQ148_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1512,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1459,f1509,f585,f217]) ).
fof(f1513,definition,
! [X0,X1] :
( sQ149_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1516,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1460,f1513,f585,f217]) ).
fof(f1517,definition,
! [X0,X1] :
( sQ150_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1520,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1461,f1517,f585,f217]) ).
fof(f1521,definition,
! [X0,X1] :
( sQ151_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK5_skl(X1,sK9_skl,X0)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1524,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f1462,f1521,f585,f217]) ).
fof(f1525,definition,
! [X0,X1] :
( sQ152_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK9_skl,sK15_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1528,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1463,f1525,f585,f217]) ).
fof(f1529,definition,
! [X0,X1] :
( sQ153_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1532,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1464,f1529,f585,f217]) ).
fof(f1533,definition,
! [X0,X1] :
( sQ154_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1536,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1465,f1533,f585,f217]) ).
fof(f1537,definition,
! [X0,X1] :
( sQ155_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK9_skl,sK15_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1540,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f1466,f1537,f585,f217]) ).
fof(f1541,definition,
! [X0,X1] :
( sQ156_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1544,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1467,f1541,f585,f217]) ).
fof(f1545,definition,
! [X0,X1] :
( sQ157_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1548,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1468,f1545,f585,f217]) ).
fof(f1549,definition,
! [X0,X1] :
( sQ158_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1469,f1549,f585,f217]) ).
fof(f1553,definition,
! [X0,X1] :
( sQ159_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK6_skl(X1,X0,sK9_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1556,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1470,f1553,f585,f217]) ).
fof(f1557,definition,
! [X0,X1] :
( sQ160_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK9_skl,sK15_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1560,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1471,f1557,f585,f217]) ).
fof(f1561,definition,
! [X0,X1] :
( sQ161_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1564,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f1472,f1561,f585,f217]) ).
fof(f1565,definition,
! [X0,X1] :
( sQ162_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK15_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK15_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK15_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1568,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1473,f1565,f585,f217]) ).
fof(f1569,definition,
! [X0] :
( sQ163_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK15_skl))),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1572,plain,
( sQ163_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1474,f585,f217,f1569]) ).
fof(f1573,definition,
! [X0] :
( sQ164_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ164_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl) ),
inference(component_clause,[status(thm)],[f1573]) ).
fof(f1576,plain,
( sQ164_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1475,f585,f217,f1573]) ).
fof(f1577,definition,
! [X0,X1,X2] :
( sQ165_spl
<=> ( ~ in(ordered_pair(X2,X1),sK15_skl)
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1580,plain,
( sQ165_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1476,f585,f217,f1577]) ).
fof(f1584,definition,
! [X0,X1] :
( sQ166_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),X1),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1587,plain,
( sQ166_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1480,f585,f217,f1584]) ).
fof(f1588,definition,
! [X0,X1] :
( sQ167_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1591,plain,
( sQ167_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1481,f585,f217,f1588]) ).
fof(f1592,definition,
( sQ168_spl
<=> empty(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1713,plain,
! [X0] :
( ~ sQ164_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK1_skl(X0,sK9_skl),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl) ),
inference(forward_demodulation,[status(thm)],[f1107,f1574]) ).
fof(f1714,plain,
! [X0] :
( ~ sQ164_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK1_skl(X0,sK9_skl),sK3_skl(sK2_skl(X0,sK9_skl),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl) ),
inference(forward_demodulation,[status(thm)],[f1107,f1713]) ).
fof(f1715,plain,
! [X0] :
( ~ sQ164_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK1_skl(X0,sK9_skl),sK3_skl(sK2_skl(X0,sK9_skl),sK1_skl(X0,sK9_skl),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl) ),
inference(forward_demodulation,[status(thm)],[f1107,f1714]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ164_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK1_skl(X0,sK9_skl),sK3_skl(sK2_skl(X0,sK9_skl),sK1_skl(X0,sK9_skl),sK9_skl,sK15_skl,sK9_skl)),sK9_skl) ),
inference(forward_demodulation,[status(thm)],[f1107,f1715]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ164_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(sK9_skl)
| in(ordered_pair(sK1_skl(X0,sK9_skl),sK3_skl(sK2_skl(X0,sK9_skl),sK1_skl(X0,sK9_skl),sK9_skl,sK15_skl,sK9_skl)),sK9_skl) ),
inference(forward_demodulation,[status(thm)],[f1107,f1716]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ164_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = sK9_skl
| in(ordered_pair(sK1_skl(X0,sK9_skl),sK3_skl(sK2_skl(X0,sK9_skl),sK1_skl(X0,sK9_skl),sK9_skl,sK15_skl,sK9_skl)),sK9_skl) ),
inference(forward_demodulation,[status(thm)],[f571,f1717]) ).
fof(f1719,plain,
! [X0] :
( ~ sQ164_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = sK9_skl ),
inference(forward_subsumption_resolution,[status(thm)],[f1718,f711]) ).
fof(f1723,plain,
! [X0,X1,X2] :
( ~ sQ29_spl
| ~ in(ordered_pair(X2,sK5_skl(X0,X1,sK14_skl)),X1)
| ~ in(ordered_pair(sK4_skl(X0,X1,sK14_skl),X2),sK14_skl)
| X0 = relation_composition(sK14_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| ~ relation(sK14_skl)
| X0 = relation_composition(sK14_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| sK6_skl(X0,X1,sK14_skl) = apply(sK14_skl,sK4_skl(X0,X1,sK14_skl)) ),
inference(resolution,[status(thm)],[f372,f72]) ).
fof(f1724,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ29_spl
| sK5_skl(sK8_skl,X0,sK14_skl) = apply(sK8_skl,sK4_skl(sK8_skl,X0,sK14_skl))
| sK8_skl = relation_composition(sK14_skl,X0)
| ~ relation(sK8_skl)
| ~ relation(X0)
| sK6_skl(sK8_skl,X0,sK14_skl) = apply(sK14_skl,sK4_skl(sK8_skl,X0,sK14_skl)) ),
inference(resolution,[status(thm)],[f372,f298]) ).
fof(f1725,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ29_spl
| sK5_skl(sK14_skl,X0,sK14_skl) = apply(sK14_skl,sK4_skl(sK14_skl,X0,sK14_skl))
| sK14_skl = relation_composition(sK14_skl,X0)
| ~ relation(sK14_skl)
| ~ relation(X0)
| sK6_skl(sK14_skl,X0,sK14_skl) = apply(sK14_skl,sK4_skl(sK14_skl,X0,sK14_skl)) ),
inference(resolution,[status(thm)],[f372,f307]) ).
fof(f1726,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ29_spl
| sK5_skl(sK15_skl,X0,sK14_skl) = apply(sK15_skl,sK4_skl(sK15_skl,X0,sK14_skl))
| sK15_skl = relation_composition(sK14_skl,X0)
| ~ relation(sK15_skl)
| ~ relation(X0)
| sK6_skl(sK15_skl,X0,sK14_skl) = apply(sK14_skl,sK4_skl(sK15_skl,X0,sK14_skl)) ),
inference(resolution,[status(thm)],[f372,f303]) ).
fof(f1730,plain,
! [X0] :
( ~ sQ29_spl
| sK9_skl = relation_composition(sK14_skl,X0)
| ~ relation(sK9_skl)
| ~ relation(X0)
| sK6_skl(sK9_skl,X0,sK14_skl) = apply(sK14_skl,sK4_skl(sK9_skl,X0,sK14_skl)) ),
inference(resolution,[status(thm)],[f372,f711]) ).
fof(f1734,definition,
! [X0,X1,X2] :
( sQ169_spl
<=> ( ~ in(ordered_pair(X2,sK5_skl(X0,X1,sK14_skl)),X1)
| ~ in(ordered_pair(sK4_skl(X0,X1,sK14_skl),X2),sK14_skl)
| X0 = relation_composition(sK14_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| X0 = relation_composition(sK14_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| sK6_skl(X0,X1,sK14_skl) = apply(sK14_skl,sK4_skl(X0,X1,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1737,plain,
( ~ sQ29_spl
| ~ sQ9_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1723,f1734,f221,f371]) ).
fof(f1738,definition,
! [X0] :
( sQ170_spl
<=> ( sK5_skl(sK8_skl,X0,sK14_skl) = apply(sK8_skl,sK4_skl(sK8_skl,X0,sK14_skl))
| sK8_skl = relation_composition(sK14_skl,X0)
| ~ relation(X0)
| sK6_skl(sK8_skl,X0,sK14_skl) = apply(sK14_skl,sK4_skl(sK8_skl,X0,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1741,plain,
( ~ sQ18_spl
| ~ sQ29_spl
| ~ sQ17_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1724,f1738,f294,f371,f297]) ).
fof(f1742,definition,
! [X0] :
( sQ171_spl
<=> ( sK5_skl(sK14_skl,X0,sK14_skl) = apply(sK14_skl,sK4_skl(sK14_skl,X0,sK14_skl))
| sK14_skl = relation_composition(sK14_skl,X0)
| ~ relation(X0)
| sK6_skl(sK14_skl,X0,sK14_skl) = apply(sK14_skl,sK4_skl(sK14_skl,X0,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1745,plain,
( ~ sQ20_spl
| ~ sQ29_spl
| ~ sQ9_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1725,f1742,f221,f371,f306]) ).
fof(f1746,definition,
! [X0] :
( sQ172_spl
<=> ( sK5_skl(sK15_skl,X0,sK14_skl) = apply(sK15_skl,sK4_skl(sK15_skl,X0,sK14_skl))
| sK15_skl = relation_composition(sK14_skl,X0)
| ~ relation(X0)
| sK6_skl(sK15_skl,X0,sK14_skl) = apply(sK14_skl,sK4_skl(sK15_skl,X0,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1749,plain,
( ~ sQ19_spl
| ~ sQ29_spl
| ~ sQ8_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1726,f1746,f217,f371,f302]) ).
fof(f1753,definition,
! [X0] :
( sQ173_spl
<=> ( sK9_skl = relation_composition(sK14_skl,X0)
| ~ relation(X0)
| sK6_skl(sK9_skl,X0,sK14_skl) = apply(sK14_skl,sK4_skl(sK9_skl,X0,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1756,plain,
( ~ sQ29_spl
| ~ sQ44_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1730,f1753,f585,f371]) ).
fof(f1758,plain,
( sQ136_spl
| ~ empty(sK8_skl) ),
inference(resolution,[status(thm)],[f1432,f98]) ).
fof(f1760,plain,
( sQ136_spl
| ~ empty(relation_dom(sK8_skl))
| ~ relation(sK8_skl) ),
inference(resolution,[status(thm)],[f1758,f95]) ).
fof(f1761,definition,
( sQ174_spl
<=> empty(relation_dom(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1764,plain,
( sQ136_spl
| ~ sQ174_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1760,f294,f1761,f1430]) ).
fof(f1783,plain,
! [X0] :
( ~ in(sK9_skl,sK1_skl(X0,sK9_skl))
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f325]) ).
fof(f1784,definition,
! [X0] :
( sQ176_spl
<=> ( ~ in(sK9_skl,sK1_skl(X0,sK9_skl))
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1787,plain,
( sQ176_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1783,f585,f1784]) ).
fof(f1795,definition,
! [X0] :
( sQ177_spl
<=> ( in(sK1_skl(X0,relation_dom(sK9_skl)),X0)
| X0 = relation_dom(relation_dom(sK9_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1812,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,sK15_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f394]) ).
fof(f1813,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,sK13_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK13_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f394]) ).
fof(f1814,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f394]) ).
fof(f1815,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,sK13_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f394]) ).
fof(f1818,definition,
! [X0,X1] :
( sQ178_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,sK15_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1821,plain,
( sQ178_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1812,f585,f217,f1818]) ).
fof(f1822,definition,
! [X0,X1] :
( sQ179_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,sK13_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK13_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1825,plain,
( sQ179_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1813,f585,f1142,f1822]) ).
fof(f1826,definition,
! [X0,X1] :
( sQ180_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1829,plain,
( sQ180_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1814,f585,f217,f1826]) ).
fof(f1830,definition,
! [X0,X1] :
( sQ181_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,sK13_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1833,plain,
( sQ181_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1815,f585,f1142,f1830]) ).
fof(f1862,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f394]) ).
fof(f1863,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,sK14_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f394]) ).
fof(f1864,plain,
! [X0,X1,X2] :
( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f317]) ).
fof(f1865,plain,
! [X0,X1,X2] :
( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f321]) ).
fof(f1866,plain,
! [X0,X1,X2] :
( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK14_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f320]) ).
fof(f1867,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK14_skl,sK9_skl),X2),sK14_skl)
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f319]) ).
fof(f1868,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,sK14_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,sK14_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,sK14_skl),X0,X1)),sK14_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,sK14_skl),X0,X1),X2),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f318]) ).
fof(f1869,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK9_skl,sK14_skl,sK9_skl)),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f252]) ).
fof(f1870,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f252]) ).
fof(f1871,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f252]) ).
fof(f1872,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f252]) ).
fof(f1873,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK5_skl(X1,sK9_skl,X0)),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f251]) ).
fof(f1874,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK9_skl,sK14_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f251]) ).
fof(f1875,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f251]) ).
fof(f1876,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f251]) ).
fof(f1877,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK9_skl,sK14_skl,sK9_skl)),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f209]) ).
fof(f1878,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f209]) ).
fof(f1879,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f209]) ).
fof(f1880,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f209]) ).
fof(f1881,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK6_skl(X1,X0,sK9_skl)),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f208]) ).
fof(f1882,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK9_skl,sK14_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f208]) ).
fof(f1883,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f208]) ).
fof(f1884,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1108,f208]) ).
fof(f1885,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK14_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK14_skl))),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f201]) ).
fof(f1886,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f198]) ).
fof(f1887,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),sK14_skl)
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f183]) ).
fof(f1891,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),X1),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f199]) ).
fof(f1892,plain,
! [X0,X1] :
( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f196]) ).
fof(f1896,definition,
! [X0,X1] :
( sQ182_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1899,plain,
( sQ182_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1862,f585,f221,f1896]) ).
fof(f1900,definition,
! [X0,X1] :
( sQ183_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,sK14_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1903,plain,
( sQ183_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1863,f585,f221,f1900]) ).
fof(f1904,definition,
! [X0,X1,X2] :
( sQ184_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1907,plain,
( sQ184_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1864,f585,f221,f1904]) ).
fof(f1908,definition,
! [X0,X1,X2] :
( sQ185_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1911,plain,
( sQ185_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1865,f585,f221,f1908]) ).
fof(f1912,definition,
! [X0,X1,X2] :
( sQ186_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK14_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1915,plain,
( sQ186_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1866,f585,f221,f1912]) ).
fof(f1916,definition,
! [X0,X1,X2] :
( sQ187_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK14_skl,sK9_skl),X2),sK14_skl)
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1919,plain,
( sQ187_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1867,f585,f221,f1916]) ).
fof(f1920,definition,
! [X0,X1,X2,X3] :
( sQ188_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,sK14_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,sK14_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,sK14_skl),X0,X1)),sK14_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,sK14_skl),X0,X1),X2),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1923,plain,
( sQ188_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1868,f585,f221,f1920]) ).
fof(f1924,definition,
! [X0,X1] :
( sQ189_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK9_skl,sK14_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1927,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1869,f1924,f585,f221]) ).
fof(f1928,definition,
! [X0,X1] :
( sQ190_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1931,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1870,f1928,f585,f221]) ).
fof(f1932,definition,
! [X0,X1] :
( sQ191_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1935,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1871,f1932,f585,f221]) ).
fof(f1936,definition,
! [X0,X1] :
( sQ192_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1939,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1872,f1936,f585,f221]) ).
fof(f1940,definition,
! [X0,X1] :
( sQ193_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK5_skl(X1,sK9_skl,X0)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1943,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1873,f1940,f585,f221]) ).
fof(f1944,definition,
! [X0,X1] :
( sQ194_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK9_skl,sK14_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1947,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1874,f1944,f585,f221]) ).
fof(f1948,definition,
! [X0,X1] :
( sQ195_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1951,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1875,f1948,f585,f221]) ).
fof(f1952,definition,
! [X0,X1] :
( sQ196_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1955,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1876,f1952,f585,f221]) ).
fof(f1956,definition,
! [X0,X1] :
( sQ197_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK9_skl,sK14_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1959,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1877,f1956,f585,f221]) ).
fof(f1960,definition,
! [X0,X1] :
( sQ198_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1963,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1878,f1960,f585,f221]) ).
fof(f1964,definition,
! [X0,X1] :
( sQ199_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1967,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1879,f1964,f585,f221]) ).
fof(f1968,definition,
! [X0,X1] :
( sQ200_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1971,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1880,f1968,f585,f221]) ).
fof(f1972,definition,
! [X0,X1] :
( sQ201_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK6_skl(X1,X0,sK9_skl)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1975,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1881,f1972,f585,f221]) ).
fof(f1976,definition,
! [X0,X1] :
( sQ202_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK9_skl,sK14_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1979,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1882,f1976,f585,f221]) ).
fof(f1980,definition,
! [X0,X1] :
( sQ203_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1983,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1883,f1980,f585,f221]) ).
fof(f1984,definition,
! [X0,X1] :
( sQ204_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1987,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1884,f1984,f585,f221]) ).
fof(f1988,definition,
! [X0] :
( sQ205_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK14_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK14_skl))),sK14_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1991,plain,
( sQ205_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1885,f585,f221,f1988]) ).
fof(f1992,definition,
! [X0] :
( sQ206_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1995,plain,
( sQ206_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1886,f585,f221,f1992]) ).
fof(f1996,definition,
! [X0,X1,X2] :
( sQ207_spl
<=> ( ~ in(ordered_pair(X2,X1),sK14_skl)
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1999,plain,
( sQ207_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1887,f585,f221,f1996]) ).
fof(f2002,definition,
( sQ208_spl
<=> function(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2004,plain,
( sQ208_spl
| ~ function(sK14_skl) ),
inference(component_clause,[status(thm)],[f2002]) ).
fof(f2006,definition,
! [X0,X1] :
( sQ209_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),X1),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2009,plain,
( sQ209_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1891,f585,f221,f2006]) ).
fof(f2010,definition,
! [X0,X1] :
( sQ210_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2013,plain,
( sQ210_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1892,f585,f221,f2010]) ).
fof(f2273,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,sK11_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f394]) ).
fof(f2274,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,sK11_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK11_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f394]) ).
fof(f2275,plain,
! [X0,X1,X2] :
( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK11_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f317]) ).
fof(f2276,plain,
! [X0,X1,X2] :
( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK11_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f321]) ).
fof(f2277,plain,
! [X0,X1,X2] :
( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK11_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK11_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f320]) ).
fof(f2278,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK11_skl,sK9_skl),X2),sK11_skl)
| ~ in(ordered_pair(X1,X2),sK11_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f319]) ).
fof(f2279,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,sK11_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,sK11_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,sK11_skl),X0,X1)),sK11_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,sK11_skl),X0,X1),X2),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f318]) ).
fof(f2280,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK9_skl,sK11_skl,sK9_skl)),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f252]) ).
fof(f2281,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f252]) ).
fof(f2282,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f252]) ).
fof(f2283,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f252]) ).
fof(f2284,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK5_skl(X1,sK9_skl,X0)),sK11_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f251]) ).
fof(f2285,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK9_skl,sK11_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),sK11_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f251]) ).
fof(f2286,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),sK11_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f251]) ).
fof(f2287,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),sK11_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f251]) ).
fof(f2288,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK9_skl,sK11_skl,sK9_skl)),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f209]) ).
fof(f2289,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f209]) ).
fof(f2290,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f209]) ).
fof(f2291,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f209]) ).
fof(f2292,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK6_skl(X1,X0,sK9_skl)),sK11_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f208]) ).
fof(f2293,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK9_skl,sK11_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),sK11_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f208]) ).
fof(f2294,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),sK11_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f208]) ).
fof(f2295,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),sK11_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1099,f208]) ).
fof(f2296,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK11_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK11_skl))),sK11_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f201]) ).
fof(f2297,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK11_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f198]) ).
fof(f2298,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),sK11_skl)
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f183]) ).
fof(f2302,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),X1),sK11_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f199]) ).
fof(f2303,plain,
! [X0,X1] :
( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f196]) ).
fof(f2307,definition,
! [X0,X1] :
( sQ211_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,sK11_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2310,plain,
( sQ211_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2273,f585,f332,f2307]) ).
fof(f2311,definition,
! [X0,X1] :
( sQ212_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,sK11_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK11_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2314,plain,
( sQ212_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2274,f585,f332,f2311]) ).
fof(f2315,definition,
! [X0,X1,X2] :
( sQ213_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK11_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2318,plain,
( sQ213_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2275,f585,f332,f2315]) ).
fof(f2319,definition,
! [X0,X1,X2] :
( sQ214_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK11_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2322,plain,
( sQ214_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2276,f585,f332,f2319]) ).
fof(f2323,definition,
! [X0,X1,X2] :
( sQ215_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK11_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK11_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2326,plain,
( sQ215_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2277,f585,f332,f2323]) ).
fof(f2327,definition,
! [X0,X1,X2] :
( sQ216_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK11_skl,sK9_skl),X2),sK11_skl)
| ~ in(ordered_pair(X1,X2),sK11_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2330,plain,
( sQ216_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2278,f585,f332,f2327]) ).
fof(f2331,definition,
! [X0,X1,X2,X3] :
( sQ217_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,sK11_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,sK11_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,sK11_skl),X0,X1)),sK11_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,sK11_skl),X0,X1),X2),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2334,plain,
( sQ217_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2279,f585,f332,f2331]) ).
fof(f2335,definition,
! [X0,X1] :
( sQ218_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK9_skl,sK11_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2338,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f2280,f2335,f585,f332]) ).
fof(f2339,definition,
! [X0,X1] :
( sQ219_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2342,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2281,f2339,f585,f332]) ).
fof(f2343,definition,
! [X0,X1] :
( sQ220_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f2346,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2282,f2343,f585,f332]) ).
fof(f2347,definition,
! [X0,X1] :
( sQ221_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2350,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2283,f2347,f585,f332]) ).
fof(f2351,definition,
! [X0,X1] :
( sQ222_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK5_skl(X1,sK9_skl,X0)),sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2354,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f2284,f2351,f585,f332]) ).
fof(f2355,definition,
! [X0,X1] :
( sQ223_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK9_skl,sK11_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2358,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f2285,f2355,f585,f332]) ).
fof(f2359,definition,
! [X0,X1] :
( sQ224_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2362,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f2286,f2359,f585,f332]) ).
fof(f2363,definition,
! [X0,X1] :
( sQ225_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK11_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK11_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK11_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2366,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f2287,f2363,f585,f332]) ).
fof(f2367,definition,
! [X0,X1] :
( sQ226_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK9_skl,sK11_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2370,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2288,f2367,f585,f332]) ).
fof(f2371,definition,
! [X0,X1] :
( sQ227_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2374,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f2289,f2371,f585,f332]) ).
fof(f2375,definition,
! [X0,X1] :
( sQ228_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2378,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f2290,f2375,f585,f332]) ).
fof(f2379,definition,
! [X0,X1] :
( sQ229_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2382,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f2291,f2379,f585,f332]) ).
fof(f2383,definition,
! [X0,X1] :
( sQ230_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK6_skl(X1,X0,sK9_skl)),sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2386,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2292,f2383,f585,f332]) ).
fof(f2387,definition,
! [X0,X1] :
( sQ231_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK9_skl,sK11_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2390,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2293,f2387,f585,f332]) ).
fof(f2391,definition,
! [X0,X1] :
( sQ232_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2394,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2294,f2391,f585,f332]) ).
fof(f2395,definition,
! [X0,X1] :
( sQ233_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK11_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK11_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK11_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2398,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f2295,f2395,f585,f332]) ).
fof(f2399,definition,
! [X0] :
( sQ234_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK11_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK11_skl))),sK11_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2402,plain,
( sQ234_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2296,f585,f332,f2399]) ).
fof(f2403,definition,
! [X0] :
( sQ235_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK11_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2406,plain,
( sQ235_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2297,f585,f332,f2403]) ).
fof(f2407,definition,
! [X0,X1,X2] :
( sQ236_spl
<=> ( ~ in(ordered_pair(X2,X1),sK11_skl)
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2410,plain,
( sQ236_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2298,f585,f332,f2407]) ).
fof(f2417,definition,
! [X0,X1] :
( sQ238_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),X1),sK11_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2420,plain,
( sQ238_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2302,f585,f332,f2417]) ).
fof(f2421,definition,
! [X0,X1] :
( sQ239_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2424,plain,
( sQ239_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2303,f585,f332,f2421]) ).
fof(f2569,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f394]) ).
fof(f2570,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f394]) ).
fof(f2571,plain,
! [X0,X1,X2] :
( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f317]) ).
fof(f2572,plain,
! [X0,X1,X2] :
( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f321]) ).
fof(f2573,plain,
! [X0,X1,X2] :
( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f320]) ).
fof(f2574,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,sK9_skl),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f319]) ).
fof(f2575,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,sK9_skl),X0,X1),X2),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f318]) ).
fof(f2576,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f252]) ).
fof(f2577,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f252]) ).
fof(f2578,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f252]) ).
fof(f2579,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f252]) ).
fof(f2580,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f251]) ).
fof(f2581,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f251]) ).
fof(f2582,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f251]) ).
fof(f2583,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f251]) ).
fof(f2584,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK9_skl,sK9_skl,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f209]) ).
fof(f2585,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f209]) ).
fof(f2586,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f209]) ).
fof(f2587,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f209]) ).
fof(f2588,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f208]) ).
fof(f2589,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK9_skl,sK9_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f208]) ).
fof(f2590,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f208]) ).
fof(f2591,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1100,f208]) ).
fof(f2592,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f201]) ).
fof(f2593,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f198]) ).
fof(f2594,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f183]) ).
fof(f2598,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f199]) ).
fof(f2599,plain,
! [X0,X1] :
( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f196]) ).
fof(f2603,definition,
! [X0,X1] :
( sQ241_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2606,plain,
( sQ241_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2569,f585,f2603]) ).
fof(f2607,definition,
! [X0,X1] :
( sQ242_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2610,plain,
( sQ242_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2570,f585,f2607]) ).
fof(f2611,definition,
! [X0,X1,X2] :
( sQ243_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2614,plain,
( sQ243_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2571,f585,f2611]) ).
fof(f2615,definition,
! [X0,X1,X2] :
( sQ244_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2618,plain,
( sQ244_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2572,f585,f2615]) ).
fof(f2619,definition,
! [X0,X1,X2] :
( sQ245_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2622,plain,
( sQ245_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2573,f585,f2619]) ).
fof(f2623,definition,
! [X0,X1,X2] :
( sQ246_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,sK9_skl),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2626,plain,
( sQ246_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2574,f585,f2623]) ).
fof(f2627,definition,
! [X0,X1,X2,X3] :
( sQ247_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,sK9_skl),X0,X1),X2),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2630,plain,
( sQ247_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2575,f585,f2627]) ).
fof(f2631,definition,
! [X0,X1] :
( sQ248_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2634,plain,
( ~ sQ44_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2576,f2631,f585]) ).
fof(f2635,definition,
! [X0,X1] :
( sQ249_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2638,plain,
( ~ sQ44_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2577,f2635,f585]) ).
fof(f2639,definition,
! [X0,X1] :
( sQ250_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2642,plain,
( ~ sQ44_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2578,f2639,f585]) ).
fof(f2643,definition,
! [X0,X1] :
( sQ251_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2646,plain,
( ~ sQ44_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2579,f2643,f585]) ).
fof(f2647,definition,
! [X0,X1] :
( sQ252_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2650,plain,
( ~ sQ44_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2580,f2647,f585]) ).
fof(f2651,definition,
! [X0,X1] :
( sQ253_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2654,plain,
( ~ sQ44_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f2581,f2651,f585]) ).
fof(f2655,definition,
! [X0,X1] :
( sQ254_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2658,plain,
( ~ sQ44_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2582,f2655,f585]) ).
fof(f2659,definition,
! [X0,X1] :
( sQ255_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2662,plain,
( ~ sQ44_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2583,f2659,f585]) ).
fof(f2663,definition,
! [X0,X1] :
( sQ256_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK9_skl,sK9_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2666,plain,
( ~ sQ44_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2584,f2663,f585]) ).
fof(f2667,definition,
! [X0,X1] :
( sQ257_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2670,plain,
( ~ sQ44_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2585,f2667,f585]) ).
fof(f2671,definition,
! [X0,X1] :
( sQ258_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2674,plain,
( ~ sQ44_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f2586,f2671,f585]) ).
fof(f2675,definition,
! [X0,X1] :
( sQ259_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2678,plain,
( ~ sQ44_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2587,f2675,f585]) ).
fof(f2679,definition,
! [X0,X1] :
( sQ260_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2682,plain,
( ~ sQ44_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2588,f2679,f585]) ).
fof(f2683,definition,
! [X0,X1] :
( sQ261_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK9_skl,sK9_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2686,plain,
( ~ sQ44_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2589,f2683,f585]) ).
fof(f2687,definition,
! [X0,X1] :
( sQ262_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2690,plain,
( ~ sQ44_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f2590,f2687,f585]) ).
fof(f2691,definition,
! [X0,X1] :
( sQ263_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2694,plain,
( ~ sQ44_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2591,f2691,f585]) ).
fof(f2695,definition,
! [X0] :
( sQ264_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2698,plain,
( sQ264_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2592,f585,f2695]) ).
fof(f2699,definition,
! [X0] :
( sQ265_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2702,plain,
( sQ265_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2593,f585,f2699]) ).
fof(f2703,definition,
! [X0,X1,X2] :
( sQ266_spl
<=> ( ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2706,plain,
( sQ266_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2594,f585,f2703]) ).
fof(f2710,definition,
! [X0,X1] :
( sQ267_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2713,plain,
( sQ267_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2598,f585,f2710]) ).
fof(f2714,definition,
! [X0,X1] :
( sQ268_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2717,plain,
( sQ268_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2599,f585,f2714]) ).
fof(f2928,plain,
! [X0,X1] :
( ~ sQ47_spl
| in(ordered_pair(sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),apply(sK9_skl,sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)))),sK9_skl)
| ~ relation(sK9_skl)
| relation_dom(sK9_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),sK3_skl(sK2_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f391,f596]) ).
fof(f2929,plain,
! [X0,X1] :
( in(ordered_pair(sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),apply(sK8_skl,sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)))),sK8_skl)
| ~ relation(sK8_skl)
| relation_dom(sK8_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),sK3_skl(sK2_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f391,f104]) ).
fof(f2931,plain,
! [X0,X1] :
( in(ordered_pair(sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),apply(sK15_skl,sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)))),sK15_skl)
| ~ relation(sK15_skl)
| relation_dom(sK15_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),sK3_skl(sK2_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f391,f127]) ).
fof(f2932,plain,
! [X0,X1] :
( in(ordered_pair(sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),apply(sK14_skl,sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)))),sK14_skl)
| ~ relation(sK14_skl)
| relation_dom(sK14_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),sK3_skl(sK2_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f391,f125]) ).
fof(f2934,definition,
! [X0,X1] :
( sQ269_spl
<=> ( in(ordered_pair(sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),apply(sK9_skl,sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)))),sK9_skl)
| relation_dom(sK9_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),sK3_skl(sK2_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2937,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2928,f2934,f585,f595]) ).
fof(f2938,definition,
! [X0,X1] :
( sQ270_spl
<=> ( in(ordered_pair(sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),apply(sK8_skl,sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)))),sK8_skl)
| relation_dom(sK8_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),sK3_skl(sK2_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2941,plain,
( ~ sQ17_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2929,f2938,f294]) ).
fof(f2943,definition,
! [X0,X1] :
( sQ271_spl
<=> ( in(ordered_pair(sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),apply(sK15_skl,sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)))),sK15_skl)
| relation_dom(sK15_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),sK3_skl(sK2_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2946,plain,
( ~ sQ8_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2931,f2943,f217]) ).
fof(f2947,definition,
! [X0,X1] :
( sQ272_spl
<=> ( in(ordered_pair(sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),apply(sK14_skl,sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)))),sK14_skl)
| relation_dom(sK14_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),sK3_skl(sK2_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2950,plain,
( ~ sQ9_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2932,f2947,f221]) ).
fof(f2959,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f392]) ).
fof(f2960,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK11_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f392]) ).
fof(f2961,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f392]) ).
fof(f2962,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f392]) ).
fof(f2963,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK13_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f392]) ).
fof(f2964,definition,
! [X0] :
( sQ273_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2967,plain,
( sQ273_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2959,f585,f2964]) ).
fof(f2968,definition,
! [X0] :
( sQ274_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK11_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2971,plain,
( sQ274_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2960,f585,f332,f2968]) ).
fof(f2972,definition,
! [X0] :
( sQ275_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2975,plain,
( sQ275_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2961,f585,f221,f2972]) ).
fof(f2976,definition,
! [X0] :
( sQ276_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2979,plain,
( sQ276_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2962,f585,f217,f2976]) ).
fof(f2980,definition,
! [X0] :
( sQ277_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK13_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2983,plain,
( sQ277_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2963,f585,f1142,f2980]) ).
fof(f3035,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK8_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f392]) ).
fof(f3036,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,sK8_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f394]) ).
fof(f3037,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,sK8_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK8_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f394]) ).
fof(f3038,plain,
! [X0,X1,X2] :
( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK8_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f317]) ).
fof(f3039,plain,
! [X0,X1,X2] :
( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK8_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f321]) ).
fof(f3040,plain,
! [X0,X1,X2] :
( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK8_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK8_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f320]) ).
fof(f3041,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK8_skl,sK9_skl),X2),sK8_skl)
| ~ in(ordered_pair(X1,X2),sK8_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f319]) ).
fof(f3042,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,sK8_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,sK8_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,sK8_skl),X0,X1)),sK8_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,sK8_skl),X0,X1),X2),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f318]) ).
fof(f3043,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK9_skl,sK8_skl,sK9_skl)),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f252]) ).
fof(f3044,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f252]) ).
fof(f3045,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f252]) ).
fof(f3046,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f252]) ).
fof(f3047,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK5_skl(X1,sK9_skl,X0)),sK8_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f251]) ).
fof(f3048,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK9_skl,sK8_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),sK8_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f251]) ).
fof(f3049,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),sK8_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f251]) ).
fof(f3050,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),sK8_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f251]) ).
fof(f3051,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK9_skl,sK8_skl,sK9_skl)),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f209]) ).
fof(f3052,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f209]) ).
fof(f3053,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f209]) ).
fof(f3054,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f209]) ).
fof(f3055,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK6_skl(X1,X0,sK9_skl)),sK8_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f208]) ).
fof(f3056,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK9_skl,sK8_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),sK8_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f208]) ).
fof(f3057,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),sK8_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f208]) ).
fof(f3058,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),sK8_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1101,f208]) ).
fof(f3059,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK8_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK8_skl))),sK8_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f201]) ).
fof(f3060,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK8_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f198]) ).
fof(f3061,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),sK8_skl)
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f183]) ).
fof(f3065,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),X1),sK8_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f199]) ).
fof(f3066,plain,
! [X0,X1] :
( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f196]) ).
fof(f3070,definition,
! [X0] :
( sQ278_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK8_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f3073,plain,
( sQ278_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3035,f585,f294,f3070]) ).
fof(f3074,definition,
! [X0,X1] :
( sQ279_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,sK8_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f3077,plain,
( sQ279_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3036,f585,f294,f3074]) ).
fof(f3078,definition,
! [X0,X1] :
( sQ280_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,sK8_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK8_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f3081,plain,
( sQ280_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3037,f585,f294,f3078]) ).
fof(f3082,definition,
! [X0,X1,X2] :
( sQ281_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK8_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f3085,plain,
( sQ281_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3038,f585,f294,f3082]) ).
fof(f3086,definition,
! [X0,X1,X2] :
( sQ282_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK8_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f3089,plain,
( sQ282_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3039,f585,f294,f3086]) ).
fof(f3090,definition,
! [X0,X1,X2] :
( sQ283_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK8_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK8_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f3093,plain,
( sQ283_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3040,f585,f294,f3090]) ).
fof(f3094,definition,
! [X0,X1,X2] :
( sQ284_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK8_skl,sK9_skl),X2),sK8_skl)
| ~ in(ordered_pair(X1,X2),sK8_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f3097,plain,
( sQ284_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3041,f585,f294,f3094]) ).
fof(f3098,definition,
! [X0,X1,X2,X3] :
( sQ285_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,sK8_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,sK8_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,sK8_skl),X0,X1)),sK8_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,sK8_skl),X0,X1),X2),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f3101,plain,
( sQ285_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3042,f585,f294,f3098]) ).
fof(f3102,definition,
! [X0,X1] :
( sQ286_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK9_skl,sK8_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f3105,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3043,f3102,f585,f294]) ).
fof(f3106,definition,
! [X0,X1] :
( sQ287_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f3109,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f3044,f3106,f585,f294]) ).
fof(f3110,definition,
! [X0,X1] :
( sQ288_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f3113,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3045,f3110,f585,f294]) ).
fof(f3114,definition,
! [X0,X1] :
( sQ289_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f3117,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f3046,f3114,f585,f294]) ).
fof(f3118,definition,
! [X0,X1] :
( sQ290_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK5_skl(X1,sK9_skl,X0)),sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f3121,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f3047,f3118,f585,f294]) ).
fof(f3122,definition,
! [X0,X1] :
( sQ291_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK9_skl,sK8_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f3125,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f3048,f3122,f585,f294]) ).
fof(f3126,definition,
! [X0,X1] :
( sQ292_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f3129,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f3049,f3126,f585,f294]) ).
fof(f3130,definition,
! [X0,X1] :
( sQ293_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK8_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK8_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK8_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f3133,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f3050,f3130,f585,f294]) ).
fof(f3134,definition,
! [X0,X1] :
( sQ294_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK9_skl,sK8_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f3137,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f3051,f3134,f585,f294]) ).
fof(f3138,definition,
! [X0,X1] :
( sQ295_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f3141,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f3052,f3138,f585,f294]) ).
fof(f3142,definition,
! [X0,X1] :
( sQ296_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f3145,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f3053,f3142,f585,f294]) ).
fof(f3146,definition,
! [X0,X1] :
( sQ297_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f3149,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f3054,f3146,f585,f294]) ).
fof(f3150,definition,
! [X0,X1] :
( sQ298_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK6_skl(X1,X0,sK9_skl)),sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f3153,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3055,f3150,f585,f294]) ).
fof(f3154,definition,
! [X0,X1] :
( sQ299_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK9_skl,sK8_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f3157,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3056,f3154,f585,f294]) ).
fof(f3158,definition,
! [X0,X1] :
( sQ300_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f3161,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3057,f3158,f585,f294]) ).
fof(f3162,definition,
! [X0,X1] :
( sQ301_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,sK8_skl)),sK5_skl(X1,X0,relation_composition(sK9_skl,sK8_skl))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,sK8_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f3165,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3058,f3162,f585,f294]) ).
fof(f3166,definition,
! [X0] :
( sQ302_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK8_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f3169,plain,
( sQ302_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3059,f585,f294,f3166]) ).
fof(f3170,definition,
! [X0] :
( sQ303_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,sK8_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f3173,plain,
( sQ303_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3060,f585,f294,f3170]) ).
fof(f3174,definition,
! [X0,X1,X2] :
( sQ304_spl
<=> ( ~ in(ordered_pair(X2,X1),sK8_skl)
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f3177,plain,
( sQ304_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3061,f585,f294,f3174]) ).
fof(f3181,definition,
! [X0,X1] :
( sQ305_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),X1),sK8_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f3184,plain,
( sQ305_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3065,f585,f294,f3181]) ).
fof(f3185,definition,
! [X0,X1] :
( sQ306_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f3188,plain,
( sQ306_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3066,f585,f294,f3185]) ).
fof(f3340,plain,
relation_composition(sK13_skl,sK9_skl) = sK9_skl,
inference(resolution,[status(thm)],[f1033,f116]) ).
fof(f3341,plain,
relation_composition(sK11_skl,sK9_skl) = sK9_skl,
inference(resolution,[status(thm)],[f1033,f112]) ).
fof(f3343,plain,
relation_composition(sK8_skl,sK9_skl) = sK9_skl,
inference(resolution,[status(thm)],[f1033,f103]) ).
fof(f3344,plain,
( ~ sQ3_spl
| relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl) = sK9_skl ),
inference(resolution,[status(thm)],[f1033,f170]) ).
fof(f3349,plain,
relation_composition(sK15_skl,sK9_skl) = sK9_skl,
inference(resolution,[status(thm)],[f1033,f126]) ).
fof(f3350,plain,
relation_composition(sK14_skl,sK9_skl) = sK9_skl,
inference(resolution,[status(thm)],[f1033,f124]) ).
fof(f3352,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK13_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f392]) ).
fof(f3353,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK13_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f394]) ).
fof(f3354,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK13_skl,sK9_skl))
| X0 = relation_dom(relation_composition(sK13_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f394]) ).
fof(f3355,plain,
! [X0,X1,X2] :
( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f317]) ).
fof(f3356,plain,
! [X0,X1,X2] :
( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f321]) ).
fof(f3357,plain,
! [X0,X1,X2] :
( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,sK13_skl)),sK13_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f320]) ).
fof(f3358,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,sK13_skl),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f319]) ).
fof(f3359,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK13_skl,sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK13_skl,sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK13_skl,sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK13_skl,sK9_skl),X0,X1),X2),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f318]) ).
fof(f3360,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK13_skl)),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f252]) ).
fof(f3361,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f252]) ).
fof(f3362,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f252]) ).
fof(f3363,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f252]) ).
fof(f3364,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f251]) ).
fof(f3365,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK13_skl),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f251]) ).
fof(f3366,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f251]) ).
fof(f3367,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f251]) ).
fof(f3368,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK9_skl,sK9_skl,sK13_skl)),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f209]) ).
fof(f3369,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f209]) ).
fof(f3370,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f209]) ).
fof(f3371,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f209]) ).
fof(f3372,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f208]) ).
fof(f3373,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK9_skl,sK9_skl,sK13_skl),sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f208]) ).
fof(f3374,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f208]) ).
fof(f3375,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3340,f208]) ).
fof(f3376,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK13_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK2_skl(X0,relation_composition(sK13_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f201]) ).
fof(f3377,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK13_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f198]) ).
fof(f3378,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),sK13_skl)
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f183]) ).
fof(f3382,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f199]) ).
fof(f3383,plain,
! [X0,X1] :
( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f196]) ).
fof(f3387,definition,
! [X0] :
( sQ308_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK13_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f3390,plain,
( sQ308_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3352,f1142,f585,f3387]) ).
fof(f3391,definition,
! [X0,X1] :
( sQ309_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK13_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f3394,plain,
( sQ309_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3353,f1142,f585,f3391]) ).
fof(f3395,definition,
! [X0,X1] :
( sQ310_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK13_skl,sK9_skl))
| X0 = relation_dom(relation_composition(sK13_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f3398,plain,
( sQ310_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3354,f1142,f585,f3395]) ).
fof(f3399,definition,
! [X0,X1,X2] :
( sQ311_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK13_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f3402,plain,
( sQ311_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3355,f1142,f585,f3399]) ).
fof(f3403,definition,
! [X0,X1,X2] :
( sQ312_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK13_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3406,plain,
( sQ312_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3356,f1142,f585,f3403]) ).
fof(f3407,definition,
! [X0,X1,X2] :
( sQ313_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,sK13_skl)),sK13_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK13_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3410,plain,
( sQ313_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3357,f1142,f585,f3407]) ).
fof(f3411,definition,
! [X0,X1,X2] :
( sQ314_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,sK13_skl),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK13_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3414,plain,
( sQ314_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3358,f1142,f585,f3411]) ).
fof(f3415,definition,
! [X0,X1,X2,X3] :
( sQ315_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK13_skl,sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK13_skl,sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK13_skl,sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK13_skl,sK9_skl),X0,X1),X2),sK13_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f3418,plain,
( sQ315_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3359,f1142,f585,f3415]) ).
fof(f3419,definition,
! [X0,X1] :
( sQ316_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK13_skl)),sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3422,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f3360,f3419,f1142,f585]) ).
fof(f3423,definition,
! [X0,X1] :
( sQ317_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3426,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3361,f3423,f1142,f585]) ).
fof(f3427,definition,
! [X0,X1] :
( sQ318_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f3430,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3362,f3427,f1142,f585]) ).
fof(f3431,definition,
! [X0,X1] :
( sQ319_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3434,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f3363,f3431,f1142,f585]) ).
fof(f3435,definition,
! [X0,X1] :
( sQ320_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f3438,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3364,f3435,f1142,f585]) ).
fof(f3439,definition,
! [X0,X1] :
( sQ321_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK13_skl),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3442,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f3365,f3439,f1142,f585]) ).
fof(f3443,definition,
! [X0,X1] :
( sQ322_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3446,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3366,f3443,f1142,f585]) ).
fof(f3447,definition,
! [X0,X1] :
( sQ323_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK13_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK13_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK13_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f3450,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3367,f3447,f1142,f585]) ).
fof(f3451,definition,
! [X0,X1] :
( sQ324_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK9_skl,sK9_skl,sK13_skl)),sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f3454,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f3368,f3451,f1142,f585]) ).
fof(f3455,definition,
! [X0,X1] :
( sQ325_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f3458,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f3369,f3455,f1142,f585]) ).
fof(f3459,definition,
! [X0,X1] :
( sQ326_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f3462,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f3370,f3459,f1142,f585]) ).
fof(f3463,definition,
! [X0,X1] :
( sQ327_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f3466,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f3371,f3463,f1142,f585]) ).
fof(f3467,definition,
! [X0,X1] :
( sQ328_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f3470,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f3372,f3467,f1142,f585]) ).
fof(f3471,definition,
! [X0,X1] :
( sQ329_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK9_skl,sK9_skl,sK13_skl),sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f3474,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f3373,f3471,f1142,f585]) ).
fof(f3475,definition,
! [X0,X1] :
( sQ330_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f3478,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f3374,f3475,f1142,f585]) ).
fof(f3479,definition,
! [X0,X1] :
( sQ331_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK6_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK13_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK13_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK13_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f3482,plain,
( ~ sQ44_spl
| ~ sQ102_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f3375,f3479,f1142,f585]) ).
fof(f3483,definition,
! [X0] :
( sQ332_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK13_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK2_skl(X0,relation_composition(sK13_skl,sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f3486,plain,
( sQ332_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3376,f1142,f585,f3483]) ).
fof(f3487,definition,
! [X0] :
( sQ333_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK13_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f3490,plain,
( sQ333_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3377,f1142,f585,f3487]) ).
fof(f3491,definition,
! [X0,X1,X2] :
( sQ334_spl
<=> ( ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),sK13_skl)
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f3494,plain,
( sQ334_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3378,f1142,f585,f3491]) ).
fof(f3498,definition,
! [X0,X1] :
( sQ335_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f3501,plain,
( sQ335_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3382,f1142,f585,f3498]) ).
fof(f3502,definition,
! [X0,X1] :
( sQ336_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl)),sK13_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f3505,plain,
( sQ336_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3383,f1142,f585,f3502]) ).
fof(f3718,plain,
! [X0,X1] :
( ~ sQ47_spl
| in(ordered_pair(sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),apply(sK9_skl,sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)))),sK9_skl)
| ~ relation(sK9_skl)
| relation_dom(sK9_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK3_skl(sK2_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0),sK2_skl(relation_dom(sK9_skl),relation_composition(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f397,f596]) ).
fof(f3719,plain,
! [X0,X1] :
( in(ordered_pair(sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),apply(sK8_skl,sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)))),sK8_skl)
| ~ relation(sK8_skl)
| relation_dom(sK8_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK3_skl(sK2_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0),sK2_skl(relation_dom(sK8_skl),relation_composition(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f397,f104]) ).
fof(f3721,plain,
! [X0,X1] :
( in(ordered_pair(sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),apply(sK15_skl,sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)))),sK15_skl)
| ~ relation(sK15_skl)
| relation_dom(sK15_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK3_skl(sK2_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0),sK2_skl(relation_dom(sK15_skl),relation_composition(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f397,f127]) ).
fof(f3722,plain,
! [X0,X1] :
( in(ordered_pair(sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),apply(sK14_skl,sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)))),sK14_skl)
| ~ relation(sK14_skl)
| relation_dom(sK14_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK3_skl(sK2_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0),sK2_skl(relation_dom(sK14_skl),relation_composition(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f397,f125]) ).
fof(f3724,definition,
! [X0,X1] :
( sQ337_spl
<=> ( in(ordered_pair(sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),apply(sK9_skl,sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)))),sK9_skl)
| relation_dom(sK9_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK3_skl(sK2_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK9_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0),sK2_skl(relation_dom(sK9_skl),relation_composition(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f3727,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f3718,f3724,f585,f595]) ).
fof(f3728,definition,
! [X0,X1] :
( sQ338_spl
<=> ( in(ordered_pair(sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),apply(sK8_skl,sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)))),sK8_skl)
| relation_dom(sK8_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK3_skl(sK2_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK8_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0),sK2_skl(relation_dom(sK8_skl),relation_composition(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f3731,plain,
( ~ sQ17_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f3719,f3728,f294]) ).
fof(f3733,definition,
! [X0,X1] :
( sQ339_spl
<=> ( in(ordered_pair(sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),apply(sK15_skl,sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)))),sK15_skl)
| relation_dom(sK15_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK3_skl(sK2_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK15_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0),sK2_skl(relation_dom(sK15_skl),relation_composition(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f3736,plain,
( ~ sQ8_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f3721,f3733,f217]) ).
fof(f3737,definition,
! [X0,X1] :
( sQ340_spl
<=> ( in(ordered_pair(sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),apply(sK14_skl,sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)))),sK14_skl)
| relation_dom(sK14_skl) = relation_dom(relation_composition(X0,X1))
| in(ordered_pair(sK3_skl(sK2_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),sK1_skl(relation_dom(sK14_skl),relation_composition(X0,X1)),relation_composition(X0,X1),X1,X0),sK2_skl(relation_dom(sK14_skl),relation_composition(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f3740,plain,
( ~ sQ9_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f3722,f3737,f221]) ).
fof(f3749,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK13_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK2_skl(X0,relation_composition(sK13_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK13_skl) ),
inference(paramodulation,[status(thm)],[f3340,f398]) ).
fof(f3750,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK8_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK8_skl))),sK8_skl)
| ~ relation(sK8_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1101,f398]) ).
fof(f3751,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1100,f398]) ).
fof(f3752,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK11_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK11_skl))),sK11_skl)
| ~ relation(sK11_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1099,f398]) ).
fof(f3753,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK14_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK14_skl))),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1108,f398]) ).
fof(f3754,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK15_skl))),sK15_skl)
| ~ relation(sK15_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1107,f398]) ).
fof(f3755,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK13_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK13_skl))),sK13_skl)
| ~ relation(sK13_skl)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1098,f398]) ).
fof(f3756,definition,
! [X0] :
( sQ341_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK13_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK13_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK13_skl,sK9_skl)),relation_composition(sK13_skl,sK9_skl),sK9_skl,sK13_skl),sK2_skl(X0,relation_composition(sK13_skl,sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f3759,plain,
( sQ341_spl
| ~ sQ44_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3749,f1142,f585,f3756]) ).
fof(f3760,definition,
! [X0] :
( sQ342_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK8_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK8_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK8_skl)),relation_composition(sK9_skl,sK8_skl),sK8_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f3763,plain,
( sQ342_spl
| ~ sQ17_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3750,f585,f294,f3760]) ).
fof(f3764,definition,
! [X0] :
( sQ343_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK9_skl)),relation_composition(sK9_skl,sK9_skl),sK9_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f3767,plain,
( sQ343_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3751,f585,f3764]) ).
fof(f3768,definition,
! [X0] :
( sQ344_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK11_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK11_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK11_skl)),relation_composition(sK9_skl,sK11_skl),sK11_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK11_skl))),sK11_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f3771,plain,
( sQ344_spl
| ~ sQ21_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3752,f585,f332,f3768]) ).
fof(f3772,definition,
! [X0] :
( sQ345_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK14_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK14_skl)),relation_composition(sK9_skl,sK14_skl),sK14_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK14_skl))),sK14_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f3775,plain,
( sQ345_spl
| ~ sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3753,f585,f221,f3772]) ).
fof(f3776,definition,
! [X0] :
( sQ346_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK15_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK15_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK15_skl)),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK15_skl))),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f3779,plain,
( sQ346_spl
| ~ sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3754,f585,f217,f3776]) ).
fof(f3780,definition,
! [X0] :
( sQ347_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,sK13_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,sK13_skl)),sK1_skl(X0,relation_composition(sK9_skl,sK13_skl)),relation_composition(sK9_skl,sK13_skl),sK13_skl,sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,sK13_skl))),sK13_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f3783,plain,
( sQ347_spl
| ~ sQ102_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3755,f585,f1142,f3780]) ).
fof(f4237,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK15_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK2_skl(X0,relation_composition(sK15_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f398]) ).
fof(f4238,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK15_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f392]) ).
fof(f4239,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK15_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f394]) ).
fof(f4240,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK15_skl,sK9_skl))
| X0 = relation_dom(relation_composition(sK15_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f394]) ).
fof(f4241,plain,
! [X0,X1,X2] :
( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f317]) ).
fof(f4242,plain,
! [X0,X1,X2] :
( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f321]) ).
fof(f4243,plain,
! [X0,X1,X2] :
( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,sK15_skl)),sK15_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f320]) ).
fof(f4244,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,sK15_skl),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f319]) ).
fof(f4245,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK15_skl,sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK15_skl,sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK15_skl,sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK15_skl,sK9_skl),X0,X1),X2),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f318]) ).
fof(f4246,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK15_skl)),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f252]) ).
fof(f4247,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f252]) ).
fof(f4248,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f252]) ).
fof(f4249,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f252]) ).
fof(f4250,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f251]) ).
fof(f4251,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK15_skl),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f251]) ).
fof(f4252,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f251]) ).
fof(f4253,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f251]) ).
fof(f4254,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK9_skl,sK9_skl,sK15_skl)),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f209]) ).
fof(f4255,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f209]) ).
fof(f4256,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f209]) ).
fof(f4257,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f209]) ).
fof(f4258,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f208]) ).
fof(f4259,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK9_skl,sK9_skl,sK15_skl),sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f208]) ).
fof(f4260,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f208]) ).
fof(f4261,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f208]) ).
fof(f4262,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK15_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK2_skl(X0,relation_composition(sK15_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f201]) ).
fof(f4263,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK15_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f198]) ).
fof(f4264,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),sK15_skl)
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f183]) ).
fof(f4268,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f199]) ).
fof(f4269,plain,
! [X0,X1] :
( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f3349,f196]) ).
fof(f4273,definition,
! [X0] :
( sQ348_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK15_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK2_skl(X0,relation_composition(sK15_skl,sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f4276,plain,
( sQ348_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4237,f217,f585,f4273]) ).
fof(f4277,definition,
! [X0] :
( sQ349_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK15_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f4280,plain,
( sQ349_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4238,f217,f585,f4277]) ).
fof(f4281,definition,
! [X0,X1] :
( sQ350_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK15_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f4284,plain,
( sQ350_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4239,f217,f585,f4281]) ).
fof(f4285,definition,
! [X0,X1] :
( sQ351_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK15_skl,sK9_skl))
| X0 = relation_dom(relation_composition(sK15_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f4288,plain,
( sQ351_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4240,f217,f585,f4285]) ).
fof(f4289,definition,
! [X0,X1,X2] :
( sQ352_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f4292,plain,
( sQ352_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4241,f217,f585,f4289]) ).
fof(f4293,definition,
! [X0,X1,X2] :
( sQ353_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f4296,plain,
( sQ353_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4242,f217,f585,f4293]) ).
fof(f4297,definition,
! [X0,X1,X2] :
( sQ354_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,sK15_skl)),sK15_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f4300,plain,
( sQ354_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4243,f217,f585,f4297]) ).
fof(f4301,definition,
! [X0,X1,X2] :
( sQ355_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,sK15_skl),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f4304,plain,
( sQ355_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4244,f217,f585,f4301]) ).
fof(f4305,definition,
! [X0,X1,X2,X3] :
( sQ356_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK15_skl,sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK15_skl,sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK15_skl,sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK15_skl,sK9_skl),X0,X1),X2),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f4308,plain,
( sQ356_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4245,f217,f585,f4305]) ).
fof(f4309,definition,
! [X0,X1] :
( sQ357_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f4312,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f4246,f4309,f217,f585]) ).
fof(f4313,definition,
! [X0,X1] :
( sQ358_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f4316,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f4247,f4313,f217,f585]) ).
fof(f4317,definition,
! [X0,X1] :
( sQ359_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f4320,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f4248,f4317,f217,f585]) ).
fof(f4321,definition,
! [X0,X1] :
( sQ360_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f4324,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f4249,f4321,f217,f585]) ).
fof(f4325,definition,
! [X0,X1] :
( sQ361_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f4328,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f4250,f4325,f217,f585]) ).
fof(f4329,definition,
! [X0,X1] :
( sQ362_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK15_skl),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f4332,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f4251,f4329,f217,f585]) ).
fof(f4333,definition,
! [X0,X1] :
( sQ363_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f4336,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f4252,f4333,f217,f585]) ).
fof(f4337,definition,
! [X0,X1] :
( sQ364_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f4340,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f4253,f4337,f217,f585]) ).
fof(f4341,definition,
! [X0,X1] :
( sQ365_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK9_skl,sK9_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f4344,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f4254,f4341,f217,f585]) ).
fof(f4345,definition,
! [X0,X1] :
( sQ366_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f4348,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f4255,f4345,f217,f585]) ).
fof(f4349,definition,
! [X0,X1] :
( sQ367_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f4352,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f4256,f4349,f217,f585]) ).
fof(f4353,definition,
! [X0,X1] :
( sQ368_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f4356,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f4257,f4353,f217,f585]) ).
fof(f4357,definition,
! [X0,X1] :
( sQ369_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f4360,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f4258,f4357,f217,f585]) ).
fof(f4361,definition,
! [X0,X1] :
( sQ370_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK9_skl,sK9_skl,sK15_skl),sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f4364,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f4259,f4361,f217,f585]) ).
fof(f4365,definition,
! [X0,X1] :
( sQ371_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f4368,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f4260,f4365,f217,f585]) ).
fof(f4369,definition,
! [X0,X1] :
( sQ372_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f4372,plain,
( ~ sQ44_spl
| ~ sQ8_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f4261,f4369,f217,f585]) ).
fof(f4373,definition,
! [X0] :
( sQ373_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK15_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),sK2_skl(X0,relation_composition(sK15_skl,sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f4376,plain,
( sQ373_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4262,f217,f585,f4373]) ).
fof(f4377,definition,
! [X0] :
( sQ374_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK15_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f4380,plain,
( sQ374_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4263,f217,f585,f4377]) ).
fof(f4381,definition,
! [X0,X1,X2] :
( sQ375_spl
<=> ( ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),sK15_skl)
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f4384,plain,
( sQ375_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4264,f217,f585,f4381]) ).
fof(f4388,definition,
! [X0,X1] :
( sQ376_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f4391,plain,
( sQ376_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4268,f217,f585,f4388]) ).
fof(f4392,definition,
! [X0,X1] :
( sQ377_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl)),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f4395,plain,
( sQ377_spl
| ~ sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4269,f217,f585,f4392]) ).
fof(f4550,plain,
! [X0,X1] :
( ~ sQ40_spl
| sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f495]) ).
fof(f4551,plain,
! [X0,X1] :
( ~ sQ40_spl
| sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f495]) ).
fof(f4552,plain,
! [X0,X1] :
( ~ sQ40_spl
| sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK9_skl,sK9_skl,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f495]) ).
fof(f4553,definition,
! [X0,X1] :
( sQ378_spl
<=> ( sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f4556,plain,
( ~ sQ40_spl
| ~ sQ44_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f4550,f4553,f585,f494]) ).
fof(f4557,definition,
! [X0,X1] :
( sQ379_spl
<=> ( sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f4560,plain,
( ~ sQ40_spl
| ~ sQ44_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f4551,f4557,f585,f494]) ).
fof(f4561,definition,
! [X0,X1] :
( sQ380_spl
<=> ( sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK9_skl,sK9_skl,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f4564,plain,
( ~ sQ40_spl
| ~ sQ44_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f4552,f4561,f585,f494]) ).
fof(f4583,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK11_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK2_skl(X0,relation_composition(sK11_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f398]) ).
fof(f4584,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK11_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f392]) ).
fof(f4585,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK11_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f394]) ).
fof(f4586,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK11_skl,sK9_skl))
| X0 = relation_dom(relation_composition(sK11_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f394]) ).
fof(f4587,plain,
! [X0,X1,X2] :
( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f317]) ).
fof(f4588,plain,
! [X0,X1,X2] :
( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f321]) ).
fof(f4589,plain,
! [X0,X1,X2] :
( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,sK11_skl)),sK11_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f320]) ).
fof(f4590,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,sK11_skl),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f319]) ).
fof(f4591,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK11_skl,sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK11_skl,sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK11_skl,sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK11_skl,sK9_skl),X0,X1),X2),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f318]) ).
fof(f4592,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK11_skl)),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f252]) ).
fof(f4593,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f252]) ).
fof(f4594,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f252]) ).
fof(f4595,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f252]) ).
fof(f4596,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f251]) ).
fof(f4597,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK11_skl),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f251]) ).
fof(f4598,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f251]) ).
fof(f4599,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f251]) ).
fof(f4600,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK9_skl,sK9_skl,sK11_skl)),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f209]) ).
fof(f4601,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f209]) ).
fof(f4602,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f209]) ).
fof(f4603,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f209]) ).
fof(f4604,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f208]) ).
fof(f4605,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK9_skl,sK9_skl,sK11_skl),sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f208]) ).
fof(f4606,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f208]) ).
fof(f4607,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3341,f208]) ).
fof(f4608,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK11_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK2_skl(X0,relation_composition(sK11_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f201]) ).
fof(f4609,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK11_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f198]) ).
fof(f4610,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),sK11_skl)
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f183]) ).
fof(f4614,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f199]) ).
fof(f4615,plain,
! [X0,X1] :
( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK11_skl) ),
inference(paramodulation,[status(thm)],[f3341,f196]) ).
fof(f4619,definition,
! [X0] :
( sQ381_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK11_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK2_skl(X0,relation_composition(sK11_skl,sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f4622,plain,
( sQ381_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4583,f332,f585,f4619]) ).
fof(f4623,definition,
! [X0] :
( sQ382_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK11_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f4626,plain,
( sQ382_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4584,f332,f585,f4623]) ).
fof(f4627,definition,
! [X0,X1] :
( sQ383_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK11_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f4630,plain,
( sQ383_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4585,f332,f585,f4627]) ).
fof(f4631,definition,
! [X0,X1] :
( sQ384_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK11_skl,sK9_skl))
| X0 = relation_dom(relation_composition(sK11_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f4634,plain,
( sQ384_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4586,f332,f585,f4631]) ).
fof(f4635,definition,
! [X0,X1,X2] :
( sQ385_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK11_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f4638,plain,
( sQ385_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4587,f332,f585,f4635]) ).
fof(f4639,definition,
! [X0,X1,X2] :
( sQ386_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK11_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f4642,plain,
( sQ386_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4588,f332,f585,f4639]) ).
fof(f4643,definition,
! [X0,X1,X2] :
( sQ387_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,sK11_skl)),sK11_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK11_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f4646,plain,
( sQ387_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4589,f332,f585,f4643]) ).
fof(f4647,definition,
! [X0,X1,X2] :
( sQ388_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,sK11_skl),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK11_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f4650,plain,
( sQ388_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4590,f332,f585,f4647]) ).
fof(f4651,definition,
! [X0,X1,X2,X3] :
( sQ389_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK11_skl,sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK11_skl,sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK11_skl,sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK11_skl,sK9_skl),X0,X1),X2),sK11_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f4654,plain,
( sQ389_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4591,f332,f585,f4651]) ).
fof(f4655,definition,
! [X0,X1] :
( sQ390_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK11_skl)),sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f4658,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f4592,f4655,f332,f585]) ).
fof(f4659,definition,
! [X0,X1] :
( sQ391_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f4662,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f4593,f4659,f332,f585]) ).
fof(f4663,definition,
! [X0,X1] :
( sQ392_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f4666,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f4594,f4663,f332,f585]) ).
fof(f4667,definition,
! [X0,X1] :
( sQ393_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f4670,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f4595,f4667,f332,f585]) ).
fof(f4671,definition,
! [X0,X1] :
( sQ394_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f4674,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f4596,f4671,f332,f585]) ).
fof(f4675,definition,
! [X0,X1] :
( sQ395_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK11_skl),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f4678,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f4597,f4675,f332,f585]) ).
fof(f4679,definition,
! [X0,X1] :
( sQ396_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f4682,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f4598,f4679,f332,f585]) ).
fof(f4683,definition,
! [X0,X1] :
( sQ397_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK11_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK11_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK11_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f4686,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f4599,f4683,f332,f585]) ).
fof(f4687,definition,
! [X0,X1] :
( sQ398_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK9_skl,sK9_skl,sK11_skl)),sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f4690,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f4600,f4687,f332,f585]) ).
fof(f4691,definition,
! [X0,X1] :
( sQ399_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f4694,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f4601,f4691,f332,f585]) ).
fof(f4695,definition,
! [X0,X1] :
( sQ400_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f4698,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f4602,f4695,f332,f585]) ).
fof(f4699,definition,
! [X0,X1] :
( sQ401_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f4702,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f4603,f4699,f332,f585]) ).
fof(f4703,definition,
! [X0,X1] :
( sQ402_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f4706,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f4604,f4703,f332,f585]) ).
fof(f4707,definition,
! [X0,X1] :
( sQ403_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK9_skl,sK9_skl,sK11_skl),sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f4710,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f4605,f4707,f332,f585]) ).
fof(f4711,definition,
! [X0,X1] :
( sQ404_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f4714,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f4606,f4711,f332,f585]) ).
fof(f4715,definition,
! [X0,X1] :
( sQ405_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK6_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK11_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK11_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK11_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f4718,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f4607,f4715,f332,f585]) ).
fof(f4719,definition,
! [X0] :
( sQ406_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK11_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),sK2_skl(X0,relation_composition(sK11_skl,sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f4722,plain,
( sQ406_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4608,f332,f585,f4719]) ).
fof(f4723,definition,
! [X0] :
( sQ407_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK11_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK11_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK11_skl,sK9_skl)),relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f4726,plain,
( sQ407_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4609,f332,f585,f4723]) ).
fof(f4727,definition,
! [X0,X1,X2] :
( sQ408_spl
<=> ( ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),sK11_skl)
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f4730,plain,
( sQ408_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4610,f332,f585,f4727]) ).
fof(f4734,definition,
! [X0,X1] :
( sQ409_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f4737,plain,
( sQ409_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4614,f332,f585,f4734]) ).
fof(f4738,definition,
! [X0,X1] :
( sQ410_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK11_skl,sK9_skl),sK9_skl,sK11_skl)),sK11_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f4741,plain,
( sQ410_spl
| ~ sQ44_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4615,f332,f585,f4738]) ).
fof(f4896,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK8_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK2_skl(X0,relation_composition(sK8_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f398]) ).
fof(f4897,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK8_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f392]) ).
fof(f4898,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK8_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f394]) ).
fof(f4899,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK8_skl,sK9_skl))
| X0 = relation_dom(relation_composition(sK8_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f394]) ).
fof(f4900,plain,
! [X0,X1,X2] :
( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f317]) ).
fof(f4901,plain,
! [X0,X1,X2] :
( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f321]) ).
fof(f4902,plain,
! [X0,X1,X2] :
( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,sK8_skl)),sK8_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f320]) ).
fof(f4903,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,sK8_skl),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f319]) ).
fof(f4904,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK8_skl,sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK8_skl,sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK8_skl,sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK8_skl,sK9_skl),X0,X1),X2),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f318]) ).
fof(f4905,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK8_skl)),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f252]) ).
fof(f4906,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f252]) ).
fof(f4907,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f252]) ).
fof(f4908,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f252]) ).
fof(f4909,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f251]) ).
fof(f4910,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK8_skl),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f251]) ).
fof(f4911,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f251]) ).
fof(f4912,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f251]) ).
fof(f4913,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK9_skl,sK9_skl,sK8_skl)),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f209]) ).
fof(f4914,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f209]) ).
fof(f4915,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f209]) ).
fof(f4916,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f209]) ).
fof(f4917,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f208]) ).
fof(f4918,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK9_skl,sK9_skl,sK8_skl),sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f208]) ).
fof(f4919,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f208]) ).
fof(f4920,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3343,f208]) ).
fof(f4921,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK8_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK2_skl(X0,relation_composition(sK8_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f201]) ).
fof(f4922,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK8_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f198]) ).
fof(f4923,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),sK8_skl)
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f183]) ).
fof(f4927,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f199]) ).
fof(f4928,plain,
! [X0,X1] :
( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK8_skl) ),
inference(paramodulation,[status(thm)],[f3343,f196]) ).
fof(f4932,definition,
! [X0] :
( sQ411_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK8_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK2_skl(X0,relation_composition(sK8_skl,sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f4935,plain,
( sQ411_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4896,f294,f585,f4932]) ).
fof(f4936,definition,
! [X0] :
( sQ412_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK8_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f4939,plain,
( sQ412_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4897,f294,f585,f4936]) ).
fof(f4940,definition,
! [X0,X1] :
( sQ413_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK8_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f4943,plain,
( sQ413_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4898,f294,f585,f4940]) ).
fof(f4944,definition,
! [X0,X1] :
( sQ414_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK8_skl,sK9_skl))
| X0 = relation_dom(relation_composition(sK8_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f4947,plain,
( sQ414_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4899,f294,f585,f4944]) ).
fof(f4948,definition,
! [X0,X1,X2] :
( sQ415_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f4951,plain,
( sQ415_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4900,f294,f585,f4948]) ).
fof(f4952,definition,
! [X0,X1,X2] :
( sQ416_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f4955,plain,
( sQ416_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4901,f294,f585,f4952]) ).
fof(f4956,definition,
! [X0,X1,X2] :
( sQ417_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,sK8_skl)),sK8_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f4959,plain,
( sQ417_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4902,f294,f585,f4956]) ).
fof(f4960,definition,
! [X0,X1,X2] :
( sQ418_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,sK8_skl),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f4963,plain,
( sQ418_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4903,f294,f585,f4960]) ).
fof(f4964,definition,
! [X0,X1,X2,X3] :
( sQ419_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK8_skl,sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK8_skl,sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK8_skl,sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK8_skl,sK9_skl),X0,X1),X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f4967,plain,
( sQ419_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4904,f294,f585,f4964]) ).
fof(f4968,definition,
! [X0,X1] :
( sQ420_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK8_skl)),sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f4971,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f4905,f4968,f294,f585]) ).
fof(f4972,definition,
! [X0,X1] :
( sQ421_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f4975,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f4906,f4972,f294,f585]) ).
fof(f4976,definition,
! [X0,X1] :
( sQ422_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f4979,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ422_spl ),
inference(split_clause,[status(thm)],[f4907,f4976,f294,f585]) ).
fof(f4980,definition,
! [X0,X1] :
( sQ423_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).
fof(f4983,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f4908,f4980,f294,f585]) ).
fof(f4984,definition,
! [X0,X1] :
( sQ424_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).
fof(f4987,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f4909,f4984,f294,f585]) ).
fof(f4988,definition,
! [X0,X1] :
( sQ425_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK8_skl),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).
fof(f4991,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f4910,f4988,f294,f585]) ).
fof(f4992,definition,
! [X0,X1] :
( sQ426_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f4995,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f4911,f4992,f294,f585]) ).
fof(f4996,definition,
! [X0,X1] :
( sQ427_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK8_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK8_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f4999,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f4912,f4996,f294,f585]) ).
fof(f5000,definition,
! [X0,X1] :
( sQ428_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK9_skl,sK9_skl,sK8_skl)),sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).
fof(f5003,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f4913,f5000,f294,f585]) ).
fof(f5004,definition,
! [X0,X1] :
( sQ429_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f5007,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f4914,f5004,f294,f585]) ).
fof(f5008,definition,
! [X0,X1] :
( sQ430_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition]) ).
fof(f5011,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f4915,f5008,f294,f585]) ).
fof(f5012,definition,
! [X0,X1] :
( sQ431_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition]) ).
fof(f5015,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ431_spl ),
inference(split_clause,[status(thm)],[f4916,f5012,f294,f585]) ).
fof(f5016,definition,
! [X0,X1] :
( sQ432_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f5019,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f4917,f5016,f294,f585]) ).
fof(f5020,definition,
! [X0,X1] :
( sQ433_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK9_skl,sK9_skl,sK8_skl),sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f5023,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f4918,f5020,f294,f585]) ).
fof(f5024,definition,
! [X0,X1] :
( sQ434_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f5027,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f4919,f5024,f294,f585]) ).
fof(f5028,definition,
! [X0,X1] :
( sQ435_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK6_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK8_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK8_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f5031,plain,
( ~ sQ44_spl
| ~ sQ17_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f4920,f5028,f294,f585]) ).
fof(f5032,definition,
! [X0] :
( sQ436_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK8_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),sK2_skl(X0,relation_composition(sK8_skl,sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f5035,plain,
( sQ436_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4921,f294,f585,f5032]) ).
fof(f5036,definition,
! [X0] :
( sQ437_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK8_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK8_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f5039,plain,
( sQ437_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4922,f294,f585,f5036]) ).
fof(f5040,definition,
! [X0,X1,X2] :
( sQ438_spl
<=> ( ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),sK8_skl)
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f5043,plain,
( sQ438_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4923,f294,f585,f5040]) ).
fof(f5047,definition,
! [X0,X1] :
( sQ439_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f5050,plain,
( sQ439_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4927,f294,f585,f5047]) ).
fof(f5051,definition,
! [X0,X1] :
( sQ440_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl)),sK8_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f5054,plain,
( sQ440_spl
| ~ sQ44_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4928,f294,f585,f5051]) ).
fof(f5211,plain,
! [X0,X1,X2] :
( in(ordered_pair(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),sK4_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl)))),sK0_skl(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),sK4_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl)))),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),sK5_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl)))),X1)
| X1 = relation_composition(relation_composition(X2,relation_dom(sK9_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f406]) ).
fof(f5214,definition,
! [X0,X1,X2] :
( sQ441_spl
<=> ( in(ordered_pair(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),sK4_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl)))),sK0_skl(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),sK4_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl)))),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),sK5_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl)))),X1)
| X1 = relation_composition(relation_composition(X2,relation_dom(sK9_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f5217,plain,
( ~ sQ44_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f5211,f5214,f585]) ).
fof(f5235,plain,
! [X0,X1,X2] :
( in(ordered_pair(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),sK4_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl)))),apply(sK9_skl,ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),sK4_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl)))))),sK9_skl)
| ~ function(sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),sK5_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl)))),X1)
| X1 = relation_composition(relation_composition(X2,relation_dom(sK9_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f407]) ).
fof(f5238,definition,
! [X0,X1,X2] :
( sQ442_spl
<=> ( in(ordered_pair(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),sK4_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl)))),apply(sK9_skl,ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),sK4_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK6_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl)))))),sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl))),sK5_skl(X1,X0,relation_composition(X2,relation_dom(sK9_skl)))),X1)
| X1 = relation_composition(relation_composition(X2,relation_dom(sK9_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f5241,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ442_spl ),
inference(split_clause,[status(thm)],[f5235,f5238,f585,f595]) ).
fof(f5502,plain,
! [X0,X1] :
( ~ sQ39_spl
| sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK9_skl,sK9_skl,sK14_skl) = apply(sK14_skl,sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f491]) ).
fof(f5503,plain,
! [X0,X1] :
( ~ sQ39_spl
| sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl) = apply(sK14_skl,sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f491]) ).
fof(f5504,plain,
! [X0,X1] :
( ~ sQ39_spl
| sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl) = apply(sK14_skl,sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f491]) ).
fof(f5505,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK14_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK2_skl(X0,relation_composition(sK14_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f398]) ).
fof(f5506,plain,
! [X0] :
( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK14_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f392]) ).
fof(f5507,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK14_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f394]) ).
fof(f5508,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK14_skl,sK9_skl))
| X0 = relation_dom(relation_composition(sK14_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f394]) ).
fof(f5509,plain,
! [X0,X1,X2] :
( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f317]) ).
fof(f5510,plain,
! [X0,X1,X2] :
( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f321]) ).
fof(f5511,plain,
! [X0,X1,X2] :
( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,sK14_skl)),sK14_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f320]) ).
fof(f5512,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,sK14_skl),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f319]) ).
fof(f5513,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK14_skl,sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK14_skl,sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK14_skl,sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK14_skl,sK9_skl),X0,X1),X2),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f318]) ).
fof(f5514,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK14_skl)),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f252]) ).
fof(f5515,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f252]) ).
fof(f5516,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f252]) ).
fof(f5517,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f252]) ).
fof(f5518,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f251]) ).
fof(f5519,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK14_skl),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f251]) ).
fof(f5520,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f251]) ).
fof(f5521,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f251]) ).
fof(f5522,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK9_skl,sK9_skl,sK14_skl)),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f209]) ).
fof(f5523,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f209]) ).
fof(f5524,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f209]) ).
fof(f5525,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f209]) ).
fof(f5526,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f208]) ).
fof(f5527,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK9_skl,sK9_skl,sK14_skl),sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f208]) ).
fof(f5528,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f208]) ).
fof(f5529,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f208]) ).
fof(f5530,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK14_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK2_skl(X0,relation_composition(sK14_skl,sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f201]) ).
fof(f5531,plain,
! [X0] :
( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK14_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f198]) ).
fof(f5532,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),sK14_skl)
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f183]) ).
fof(f5536,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f199]) ).
fof(f5537,plain,
! [X0,X1] :
( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK14_skl) ),
inference(paramodulation,[status(thm)],[f3350,f196]) ).
fof(f5541,definition,
! [X0,X1] :
( sQ443_spl
<=> ( sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK9_skl,sK9_skl,sK14_skl) = apply(sK14_skl,sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f5544,plain,
( ~ sQ39_spl
| ~ sQ44_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f5502,f5541,f585,f490]) ).
fof(f5545,definition,
! [X0,X1] :
( sQ444_spl
<=> ( sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl) = apply(sK14_skl,sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f5548,plain,
( ~ sQ39_spl
| ~ sQ44_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f5503,f5545,f585,f490]) ).
fof(f5549,definition,
! [X0,X1] :
( sQ445_spl
<=> ( sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl) = apply(sK14_skl,sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).
fof(f5552,plain,
( ~ sQ39_spl
| ~ sQ44_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f5504,f5549,f585,f490]) ).
fof(f5553,definition,
! [X0] :
( sQ446_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK14_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK2_skl(X0,relation_composition(sK14_skl,sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f5556,plain,
( sQ446_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5505,f221,f585,f5553]) ).
fof(f5557,definition,
! [X0] :
( sQ447_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK14_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).
fof(f5560,plain,
( sQ447_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5506,f221,f585,f5557]) ).
fof(f5561,definition,
! [X0,X1] :
( sQ448_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK14_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).
fof(f5564,plain,
( sQ448_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5507,f221,f585,f5561]) ).
fof(f5565,definition,
! [X0,X1] :
( sQ449_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK14_skl,sK9_skl))
| X0 = relation_dom(relation_composition(sK14_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f5568,plain,
( sQ449_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5508,f221,f585,f5565]) ).
fof(f5569,definition,
! [X0,X1,X2] :
( sQ450_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK14_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).
fof(f5572,plain,
( sQ450_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5509,f221,f585,f5569]) ).
fof(f5573,definition,
! [X0,X1,X2] :
( sQ451_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK14_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition]) ).
fof(f5576,plain,
( sQ451_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5510,f221,f585,f5573]) ).
fof(f5577,definition,
! [X0,X1,X2] :
( sQ452_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,sK14_skl)),sK14_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK14_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f5580,plain,
( sQ452_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5511,f221,f585,f5577]) ).
fof(f5581,definition,
! [X0,X1,X2] :
( sQ453_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,sK14_skl),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK14_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f5584,plain,
( sQ453_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5512,f221,f585,f5581]) ).
fof(f5585,definition,
! [X0,X1,X2,X3] :
( sQ454_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK14_skl,sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK14_skl,sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK14_skl,sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK14_skl,sK9_skl),X0,X1),X2),sK14_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f5588,plain,
( sQ454_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5513,f221,f585,f5585]) ).
fof(f5589,definition,
! [X0,X1] :
( sQ455_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK14_skl)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).
fof(f5592,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ455_spl ),
inference(split_clause,[status(thm)],[f5514,f5589,f221,f585]) ).
fof(f5593,definition,
! [X0,X1] :
( sQ456_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).
fof(f5596,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ456_spl ),
inference(split_clause,[status(thm)],[f5515,f5593,f221,f585]) ).
fof(f5597,definition,
! [X0,X1] :
( sQ457_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f5600,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f5516,f5597,f221,f585]) ).
fof(f5601,definition,
! [X0,X1] :
( sQ458_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition]) ).
fof(f5604,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ458_spl ),
inference(split_clause,[status(thm)],[f5517,f5601,f221,f585]) ).
fof(f5605,definition,
! [X0,X1] :
( sQ459_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).
fof(f5608,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f5518,f5605,f221,f585]) ).
fof(f5609,definition,
! [X0,X1] :
( sQ460_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK14_skl),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ460_spl])],[split_symbol_definition]) ).
fof(f5612,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f5519,f5609,f221,f585]) ).
fof(f5613,definition,
! [X0,X1] :
( sQ461_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).
fof(f5616,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f5520,f5613,f221,f585]) ).
fof(f5617,definition,
! [X0,X1] :
( sQ462_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).
fof(f5620,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ462_spl ),
inference(split_clause,[status(thm)],[f5521,f5617,f221,f585]) ).
fof(f5621,definition,
! [X0,X1] :
( sQ463_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK9_skl,sK9_skl,sK14_skl)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition]) ).
fof(f5624,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f5522,f5621,f221,f585]) ).
fof(f5625,definition,
! [X0,X1] :
( sQ464_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition]) ).
fof(f5628,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ464_spl ),
inference(split_clause,[status(thm)],[f5523,f5625,f221,f585]) ).
fof(f5629,definition,
! [X0,X1] :
( sQ465_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).
fof(f5632,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ465_spl ),
inference(split_clause,[status(thm)],[f5524,f5629,f221,f585]) ).
fof(f5633,definition,
! [X0,X1] :
( sQ466_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).
fof(f5636,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ466_spl ),
inference(split_clause,[status(thm)],[f5525,f5633,f221,f585]) ).
fof(f5637,definition,
! [X0,X1] :
( sQ467_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).
fof(f5640,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f5526,f5637,f221,f585]) ).
fof(f5641,definition,
! [X0,X1] :
( sQ468_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK9_skl,sK9_skl,sK14_skl),sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f5644,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f5527,f5641,f221,f585]) ).
fof(f5645,definition,
! [X0,X1] :
( sQ469_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f5648,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ469_spl ),
inference(split_clause,[status(thm)],[f5528,f5645,f221,f585]) ).
fof(f5649,definition,
! [X0,X1] :
( sQ470_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK6_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK14_skl,sK9_skl)),sK5_skl(X1,X0,relation_composition(sK14_skl,sK9_skl))),X1)
| X1 = relation_composition(relation_composition(sK14_skl,sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition]) ).
fof(f5652,plain,
( ~ sQ44_spl
| ~ sQ9_spl
| sQ470_spl ),
inference(split_clause,[status(thm)],[f5529,f5649,f221,f585]) ).
fof(f5653,definition,
! [X0] :
( sQ471_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK14_skl,sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),sK2_skl(X0,relation_composition(sK14_skl,sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f5656,plain,
( sQ471_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5530,f221,f585,f5653]) ).
fof(f5657,definition,
! [X0] :
( sQ472_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK14_skl,sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK14_skl,sK9_skl)),sK1_skl(X0,relation_composition(sK14_skl,sK9_skl)),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ472_spl])],[split_symbol_definition]) ).
fof(f5660,plain,
( sQ472_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5531,f221,f585,f5657]) ).
fof(f5661,definition,
! [X0,X1,X2] :
( sQ473_spl
<=> ( ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),sK14_skl)
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).
fof(f5664,plain,
( sQ473_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5532,f221,f585,f5661]) ).
fof(f5668,definition,
! [X0,X1] :
( sQ474_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ474_spl])],[split_symbol_definition]) ).
fof(f5671,plain,
( sQ474_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5536,f221,f585,f5668]) ).
fof(f5672,definition,
! [X0,X1] :
( sQ475_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl)),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ475_spl])],[split_symbol_definition]) ).
fof(f5675,plain,
( sQ475_spl
| ~ sQ44_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5537,f221,f585,f5672]) ).
fof(f6098,plain,
! [X0,X1,X2] :
( in(ordered_pair(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))),sK0_skl(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(X2)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK5_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2))),X1)
| X1 = relation_composition(relation_composition(relation_dom(sK9_skl),X2),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f487]) ).
fof(f6101,definition,
! [X0,X1,X2] :
( sQ476_spl
<=> ( in(ordered_pair(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))),sK0_skl(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK5_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2))),X1)
| X1 = relation_composition(relation_composition(relation_dom(sK9_skl),X2),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition]) ).
fof(f6104,plain,
( ~ sQ44_spl
| sQ476_spl ),
inference(split_clause,[status(thm)],[f6098,f6101,f585]) ).
fof(f6122,plain,
! [X0,X1,X2] :
( in(ordered_pair(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))),apply(sK9_skl,ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))))),sK9_skl)
| ~ function(sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(X2)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK5_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2))),X1)
| X1 = relation_composition(relation_composition(relation_dom(sK9_skl),X2),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f488]) ).
fof(f6125,definition,
! [X0,X1,X2] :
( sQ477_spl
<=> ( in(ordered_pair(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))),apply(sK9_skl,ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))))),sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2)),sK5_skl(X1,X0,relation_composition(relation_dom(sK9_skl),X2))),X1)
| X1 = relation_composition(relation_composition(relation_dom(sK9_skl),X2),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition]) ).
fof(f6128,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ477_spl ),
inference(split_clause,[status(thm)],[f6122,f6125,f585,f595]) ).
fof(f6267,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),sK9_skl)
| X0 = relation_dom(sK9_skl)
| ~ relation(sK9_skl)
| X0 = sK9_skl ),
inference(resolution,[status(thm)],[f1719,f62]) ).
fof(f6272,definition,
! [X0,X1] :
( sQ478_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),sK9_skl)
| X0 = relation_dom(sK9_skl)
| X0 = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ478_spl])],[split_symbol_definition]) ).
fof(f6275,plain,
( ~ sQ164_spl
| ~ sQ44_spl
| sQ478_spl ),
inference(split_clause,[status(thm)],[f6267,f6272,f585,f1573]) ).
fof(f6298,plain,
! [X0,X1] :
( ~ sQ47_spl
| in(ordered_pair(sK4_skl(X1,X0,sK9_skl),apply(sK9_skl,sK4_skl(X1,X0,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK5_skl(X1,X0,sK9_skl)),X1)
| X1 = relation_composition(sK9_skl,X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation(sK9_skl) ),
inference(resolution,[status(thm)],[f505,f596]) ).
fof(f6299,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK8_skl),apply(sK8_skl,sK4_skl(X1,X0,sK8_skl))),sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,sK8_skl),sK5_skl(X1,X0,sK8_skl)),X1)
| X1 = relation_composition(sK8_skl,X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation(sK8_skl) ),
inference(resolution,[status(thm)],[f505,f104]) ).
fof(f6301,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK15_skl),apply(sK15_skl,sK4_skl(X1,X0,sK15_skl))),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,sK15_skl),sK5_skl(X1,X0,sK15_skl)),X1)
| X1 = relation_composition(sK15_skl,X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f505,f127]) ).
fof(f6302,plain,
! [X0,X1] :
( in(ordered_pair(sK4_skl(X1,X0,sK14_skl),apply(sK14_skl,sK4_skl(X1,X0,sK14_skl))),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,sK14_skl),sK5_skl(X1,X0,sK14_skl)),X1)
| X1 = relation_composition(sK14_skl,X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation(sK14_skl) ),
inference(resolution,[status(thm)],[f505,f125]) ).
fof(f6304,definition,
! [X0,X1] :
( sQ479_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),apply(sK9_skl,sK4_skl(X1,X0,sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK5_skl(X1,X0,sK9_skl)),X1)
| X1 = relation_composition(sK9_skl,X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition]) ).
fof(f6307,plain,
( ~ sQ47_spl
| sQ479_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f6298,f585,f6304,f595]) ).
fof(f6308,definition,
! [X0,X1] :
( sQ480_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK8_skl),apply(sK8_skl,sK4_skl(X1,X0,sK8_skl))),sK8_skl)
| in(ordered_pair(sK4_skl(X1,X0,sK8_skl),sK5_skl(X1,X0,sK8_skl)),X1)
| X1 = relation_composition(sK8_skl,X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ480_spl])],[split_symbol_definition]) ).
fof(f6311,plain,
( sQ480_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f6299,f294,f6308]) ).
fof(f6313,definition,
! [X0,X1] :
( sQ481_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK15_skl),apply(sK15_skl,sK4_skl(X1,X0,sK15_skl))),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,sK15_skl),sK5_skl(X1,X0,sK15_skl)),X1)
| X1 = relation_composition(sK15_skl,X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition]) ).
fof(f6316,plain,
( sQ481_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f6301,f217,f6313]) ).
fof(f6317,definition,
! [X0,X1] :
( sQ482_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK14_skl),apply(sK14_skl,sK4_skl(X1,X0,sK14_skl))),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,sK14_skl),sK5_skl(X1,X0,sK14_skl)),X1)
| X1 = relation_composition(sK14_skl,X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ482_spl])],[split_symbol_definition]) ).
fof(f6320,plain,
( sQ482_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f6302,f221,f6317]) ).
fof(f6324,plain,
! [X0,X1] :
( ~ in(sK9_skl,sK4_skl(X1,X0,sK9_skl))
| in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK5_skl(X1,X0,sK9_skl)),X1)
| X1 = relation_composition(sK9_skl,X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f503]) ).
fof(f6325,definition,
! [X0,X1] :
( sQ483_spl
<=> ( ~ in(sK9_skl,sK4_skl(X1,X0,sK9_skl))
| in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK5_skl(X1,X0,sK9_skl)),X1)
| X1 = relation_composition(sK9_skl,X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ483_spl])],[split_symbol_definition]) ).
fof(f6328,plain,
( sQ483_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f6324,f585,f6325]) ).
fof(f6335,definition,
! [X0,X1] :
( sQ484_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK5_skl(X1,X0,relation_dom(sK9_skl))),X1)
| X1 = relation_composition(relation_dom(sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition]) ).
fof(f6381,plain,
! [X0,X1] :
( ~ empty(relation_dom(X1))
| ~ relation(X1)
| in(sK1_skl(X0,relation_dom(X1)),X0)
| X0 = relation_dom(relation_dom(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f539,f438]) ).
fof(f6384,plain,
! [X0] :
( ~ empty(sK9_skl)
| ~ relation(sK9_skl)
| in(sK1_skl(X0,relation_dom(sK9_skl)),X0)
| X0 = relation_dom(relation_dom(sK9_skl)) ),
inference(paramodulation,[status(thm)],[f571,f6381]) ).
fof(f6385,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f6384,f1795,f585,f611]) ).
fof(f6440,plain,
! [X0,X1] :
( ~ sQ55_spl
| sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0) = apply(sK15_skl,sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f649]) ).
fof(f6441,plain,
! [X0,X1] :
( ~ sQ55_spl
| sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0) = apply(sK15_skl,sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f649]) ).
fof(f6442,plain,
! [X0,X1] :
( ~ sQ55_spl
| sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0) = apply(sK15_skl,sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK9_skl,sK15_skl,sK9_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1107,f649]) ).
fof(f6443,definition,
! [X0,X1] :
( sQ485_spl
<=> ( sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0) = apply(sK15_skl,sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition]) ).
fof(f6446,plain,
( ~ sQ55_spl
| ~ sQ44_spl
| sQ485_spl ),
inference(split_clause,[status(thm)],[f6440,f6443,f585,f648]) ).
fof(f6447,definition,
! [X0,X1] :
( sQ486_spl
<=> ( sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0) = apply(sK15_skl,sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,sK15_skl),sK15_skl,sK9_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).
fof(f6450,plain,
( ~ sQ55_spl
| ~ sQ44_spl
| sQ486_spl ),
inference(split_clause,[status(thm)],[f6441,f6447,f585,f648]) ).
fof(f6451,definition,
! [X0,X1] :
( sQ487_spl
<=> ( sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0) = apply(sK15_skl,sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK6_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK9_skl,sK15_skl,sK9_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,sK15_skl),X0),sK5_skl(X1,relation_composition(sK9_skl,sK15_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,sK15_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ487_spl])],[split_symbol_definition]) ).
fof(f6454,plain,
( ~ sQ55_spl
| ~ sQ44_spl
| sQ487_spl ),
inference(split_clause,[status(thm)],[f6442,f6451,f585,f648]) ).
fof(f7044,plain,
! [X0,X1] :
( ~ sQ57_spl
| sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f668]) ).
fof(f7045,plain,
! [X0,X1] :
( ~ sQ57_spl
| sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f668]) ).
fof(f7046,plain,
! [X0,X1] :
( ~ sQ57_spl
| sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3349,f668]) ).
fof(f7047,definition,
! [X0,X1] :
( sQ488_spl
<=> ( sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition]) ).
fof(f7050,plain,
( ~ sQ57_spl
| ~ sQ44_spl
| sQ488_spl ),
inference(split_clause,[status(thm)],[f7044,f7047,f585,f667]) ).
fof(f7051,definition,
! [X0,X1] :
( sQ489_spl
<=> ( sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK15_skl,sK9_skl),sK9_skl,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition]) ).
fof(f7054,plain,
( ~ sQ57_spl
| ~ sQ44_spl
| sQ489_spl ),
inference(split_clause,[status(thm)],[f7045,f7051,f585,f667]) ).
fof(f7055,definition,
! [X0,X1] :
( sQ490_spl
<=> ( sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,sK9_skl),X0))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition]) ).
fof(f7058,plain,
( ~ sQ57_spl
| ~ sQ44_spl
| sQ490_spl ),
inference(split_clause,[status(thm)],[f7046,f7055,f585,f667]) ).
fof(f7077,plain,
! [X0,X1] :
( ~ sQ56_spl
| sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl) = apply(sK14_skl,sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f664]) ).
fof(f7078,plain,
! [X0,X1] :
( ~ sQ56_spl
| sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl) = apply(sK14_skl,sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f664]) ).
fof(f7079,plain,
! [X0,X1] :
( ~ sQ56_spl
| sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK14_skl) = apply(sK14_skl,sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3350,f664]) ).
fof(f7080,definition,
! [X0,X1] :
( sQ491_spl
<=> ( sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl) = apply(sK14_skl,sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition]) ).
fof(f7083,plain,
( ~ sQ56_spl
| ~ sQ44_spl
| sQ491_spl ),
inference(split_clause,[status(thm)],[f7077,f7080,f585,f663]) ).
fof(f7084,definition,
! [X0,X1] :
( sQ492_spl
<=> ( sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK14_skl,sK9_skl),sK9_skl,sK14_skl) = apply(sK14_skl,sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition]) ).
fof(f7087,plain,
( ~ sQ56_spl
| ~ sQ44_spl
| sQ492_spl ),
inference(split_clause,[status(thm)],[f7078,f7084,f585,f663]) ).
fof(f7088,definition,
! [X0,X1] :
( sQ493_spl
<=> ( sK3_skl(sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK9_skl,sK9_skl,sK14_skl) = apply(sK14_skl,sK6_skl(X1,relation_composition(sK14_skl,sK9_skl),X0))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK14_skl,sK9_skl),X0),sK5_skl(X1,relation_composition(sK14_skl,sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK14_skl,sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition]) ).
fof(f7091,plain,
( ~ sQ56_spl
| ~ sQ44_spl
| sQ493_spl ),
inference(split_clause,[status(thm)],[f7079,f7088,f585,f663]) ).
fof(f7202,plain,
! [X0,X1,X2] :
( in(ordered_pair(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),sK6_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0)),sK0_skl(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),sK6_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0)),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,relation_dom(sK9_skl)))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f641]) ).
fof(f7205,definition,
! [X0,X1,X2] :
( sQ494_spl
<=> ( in(ordered_pair(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),sK6_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0)),sK0_skl(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),sK6_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0)),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,relation_dom(sK9_skl)))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ494_spl])],[split_symbol_definition]) ).
fof(f7208,plain,
( ~ sQ44_spl
| sQ494_spl ),
inference(split_clause,[status(thm)],[f7202,f7205,f585]) ).
fof(f7226,plain,
! [X0,X1,X2] :
( in(ordered_pair(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),sK6_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0)),apply(sK9_skl,ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),sK6_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0)))),sK9_skl)
| ~ function(sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,relation_dom(sK9_skl)))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f642]) ).
fof(f7229,definition,
! [X0,X1,X2] :
( sQ495_spl
<=> ( in(ordered_pair(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),sK6_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0)),apply(sK9_skl,ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),sK6_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),relation_composition(X2,relation_dom(sK9_skl)),relation_dom(sK9_skl),X2),sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0)))),sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0),sK5_skl(X1,relation_composition(X2,relation_dom(sK9_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(X2,relation_dom(sK9_skl)))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition]) ).
fof(f7232,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ495_spl ),
inference(split_clause,[status(thm)],[f7226,f7229,f585,f595]) ).
fof(f7455,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| apply(sK8_skl,relation_dom(sK15_skl)) = sK9_skl
| apply(sK15_skl,relation_dom(sK8_skl)) = sK9_skl ),
inference(resolution,[status(thm)],[f806,f520]) ).
fof(f7457,plain,
( ~ sQ42_spl
| apply(sK15_skl,relation_dom(sK15_skl)) = sK9_skl
| apply(sK15_skl,relation_dom(sK15_skl)) = sK9_skl ),
inference(resolution,[status(thm)],[f806,f525]) ).
fof(f7458,definition,
( sQ502_spl
<=> apply(sK15_skl,relation_dom(sK8_skl)) = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f7461,definition,
( sQ503_spl
<=> apply(sK8_skl,relation_dom(sK15_skl)) = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition]) ).
fof(f7464,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| sQ503_spl
| sQ502_spl ),
inference(split_clause,[status(thm)],[f7455,f7458,f7461,f524,f519]) ).
fof(f7465,definition,
( sQ504_spl
<=> apply(sK15_skl,relation_dom(sK15_skl)) = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ504_spl])],[split_symbol_definition]) ).
fof(f7468,plain,
( ~ sQ42_spl
| sQ504_spl ),
inference(split_clause,[status(thm)],[f7457,f7465,f524]) ).
fof(f7878,plain,
! [X0,X1,X2] :
( in(ordered_pair(ordered_pair(sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))),sK0_skl(ordered_pair(sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(X2)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK5_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_dom(sK9_skl),X2))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f660]) ).
fof(f7881,definition,
! [X0,X1,X2] :
( sQ505_spl
<=> ( in(ordered_pair(ordered_pair(sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))),sK0_skl(ordered_pair(sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK5_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_dom(sK9_skl),X2))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ505_spl])],[split_symbol_definition]) ).
fof(f7884,plain,
( ~ sQ44_spl
| sQ505_spl ),
inference(split_clause,[status(thm)],[f7878,f7881,f585]) ).
fof(f7902,plain,
! [X0,X1,X2] :
( in(ordered_pair(ordered_pair(sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))),apply(sK9_skl,ordered_pair(sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))))),sK9_skl)
| ~ function(sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(X2)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK5_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_dom(sK9_skl),X2))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f661]) ).
fof(f7905,definition,
! [X0,X1,X2] :
( sQ506_spl
<=> ( in(ordered_pair(ordered_pair(sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))),apply(sK9_skl,ordered_pair(sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK6_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),relation_composition(relation_dom(sK9_skl),X2),X2,relation_dom(sK9_skl))))),sK9_skl)
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0),sK5_skl(X1,relation_composition(relation_dom(sK9_skl),X2),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_dom(sK9_skl),X2))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition]) ).
fof(f7908,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ506_spl ),
inference(split_clause,[status(thm)],[f7902,f7905,f585,f595]) ).
fof(f8002,plain,
! [X0,X1] :
( ~ sQ18_spl
| sK0_skl(sK6_skl(X1,sK8_skl,X0),relation_dom(sK8_skl),sK8_skl) = apply(sK8_skl,sK6_skl(X1,sK8_skl,X0))
| in(ordered_pair(sK4_skl(X1,sK8_skl,X0),sK5_skl(X1,sK8_skl,X0)),X1)
| X1 = relation_composition(X0,sK8_skl)
| ~ relation(X1)
| ~ relation(sK8_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f678,f298]) ).
fof(f8003,plain,
! [X0,X1] :
( ~ sQ20_spl
| sK0_skl(sK6_skl(X1,sK14_skl,X0),relation_dom(sK14_skl),sK14_skl) = apply(sK14_skl,sK6_skl(X1,sK14_skl,X0))
| in(ordered_pair(sK4_skl(X1,sK14_skl,X0),sK5_skl(X1,sK14_skl,X0)),X1)
| X1 = relation_composition(X0,sK14_skl)
| ~ relation(X1)
| ~ relation(sK14_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f678,f307]) ).
fof(f8004,plain,
! [X0,X1] :
( ~ sQ19_spl
| sK0_skl(sK6_skl(X1,sK15_skl,X0),relation_dom(sK15_skl),sK15_skl) = apply(sK15_skl,sK6_skl(X1,sK15_skl,X0))
| in(ordered_pair(sK4_skl(X1,sK15_skl,X0),sK5_skl(X1,sK15_skl,X0)),X1)
| X1 = relation_composition(X0,sK15_skl)
| ~ relation(X1)
| ~ relation(sK15_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f678,f303]) ).
fof(f8012,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK0_skl(sK6_skl(X1,sK9_skl,X0),sK9_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,sK9_skl,X0),sK5_skl(X1,sK9_skl,X0)),X1)
| X1 = relation_composition(X0,sK9_skl)
| ~ relation(X1)
| ~ relation(sK9_skl)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f678]) ).
fof(f8013,definition,
! [X0,X1] :
( sQ507_spl
<=> ( sK0_skl(sK6_skl(X1,sK8_skl,X0),relation_dom(sK8_skl),sK8_skl) = apply(sK8_skl,sK6_skl(X1,sK8_skl,X0))
| in(ordered_pair(sK4_skl(X1,sK8_skl,X0),sK5_skl(X1,sK8_skl,X0)),X1)
| X1 = relation_composition(X0,sK8_skl)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ507_spl])],[split_symbol_definition]) ).
fof(f8016,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| sQ507_spl ),
inference(split_clause,[status(thm)],[f8002,f8013,f294,f297]) ).
fof(f8017,definition,
! [X0,X1] :
( sQ508_spl
<=> ( sK0_skl(sK6_skl(X1,sK14_skl,X0),relation_dom(sK14_skl),sK14_skl) = apply(sK14_skl,sK6_skl(X1,sK14_skl,X0))
| in(ordered_pair(sK4_skl(X1,sK14_skl,X0),sK5_skl(X1,sK14_skl,X0)),X1)
| X1 = relation_composition(X0,sK14_skl)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ508_spl])],[split_symbol_definition]) ).
fof(f8020,plain,
( ~ sQ20_spl
| ~ sQ9_spl
| sQ508_spl ),
inference(split_clause,[status(thm)],[f8003,f8017,f221,f306]) ).
fof(f8021,definition,
! [X0,X1] :
( sQ509_spl
<=> ( sK0_skl(sK6_skl(X1,sK15_skl,X0),relation_dom(sK15_skl),sK15_skl) = apply(sK15_skl,sK6_skl(X1,sK15_skl,X0))
| in(ordered_pair(sK4_skl(X1,sK15_skl,X0),sK5_skl(X1,sK15_skl,X0)),X1)
| X1 = relation_composition(X0,sK15_skl)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f8024,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ509_spl ),
inference(split_clause,[status(thm)],[f8004,f8021,f217,f302]) ).
fof(f8029,definition,
! [X0,X1] :
( sQ510_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK0_skl(sK6_skl(X1,sK9_skl,X0),sK9_skl,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,sK9_skl,X0),sK5_skl(X1,sK9_skl,X0)),X1)
| X1 = relation_composition(X0,sK9_skl)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f8032,plain,
( ~ sQ44_spl
| sQ510_spl ),
inference(split_clause,[status(thm)],[f8012,f8029,f585]) ).
fof(f8034,plain,
! [X0,X1] :
( ~ sQ47_spl
| in(ordered_pair(sK6_skl(X1,sK9_skl,X0),apply(sK9_skl,sK6_skl(X1,sK9_skl,X0))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,sK9_skl,X0),sK5_skl(X1,sK9_skl,X0)),X1)
| X1 = relation_composition(X0,sK9_skl)
| ~ relation(X1)
| ~ relation(sK9_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f679,f596]) ).
fof(f8035,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK8_skl,X0),apply(sK8_skl,sK6_skl(X1,sK8_skl,X0))),sK8_skl)
| in(ordered_pair(sK4_skl(X1,sK8_skl,X0),sK5_skl(X1,sK8_skl,X0)),X1)
| X1 = relation_composition(X0,sK8_skl)
| ~ relation(X1)
| ~ relation(sK8_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f679,f104]) ).
fof(f8037,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK15_skl,X0),apply(sK15_skl,sK6_skl(X1,sK15_skl,X0))),sK15_skl)
| in(ordered_pair(sK4_skl(X1,sK15_skl,X0),sK5_skl(X1,sK15_skl,X0)),X1)
| X1 = relation_composition(X0,sK15_skl)
| ~ relation(X1)
| ~ relation(sK15_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f679,f127]) ).
fof(f8038,plain,
! [X0,X1] :
( in(ordered_pair(sK6_skl(X1,sK14_skl,X0),apply(sK14_skl,sK6_skl(X1,sK14_skl,X0))),sK14_skl)
| in(ordered_pair(sK4_skl(X1,sK14_skl,X0),sK5_skl(X1,sK14_skl,X0)),X1)
| X1 = relation_composition(X0,sK14_skl)
| ~ relation(X1)
| ~ relation(sK14_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f679,f125]) ).
fof(f8040,definition,
! [X0,X1] :
( sQ511_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),apply(sK9_skl,sK6_skl(X1,sK9_skl,X0))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,sK9_skl,X0),sK5_skl(X1,sK9_skl,X0)),X1)
| X1 = relation_composition(X0,sK9_skl)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f8043,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ511_spl ),
inference(split_clause,[status(thm)],[f8034,f8040,f585,f595]) ).
fof(f8044,definition,
! [X0,X1] :
( sQ512_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK8_skl,X0),apply(sK8_skl,sK6_skl(X1,sK8_skl,X0))),sK8_skl)
| in(ordered_pair(sK4_skl(X1,sK8_skl,X0),sK5_skl(X1,sK8_skl,X0)),X1)
| X1 = relation_composition(X0,sK8_skl)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f8047,plain,
( ~ sQ17_spl
| sQ512_spl ),
inference(split_clause,[status(thm)],[f8035,f8044,f294]) ).
fof(f8049,definition,
! [X0,X1] :
( sQ513_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK15_skl,X0),apply(sK15_skl,sK6_skl(X1,sK15_skl,X0))),sK15_skl)
| in(ordered_pair(sK4_skl(X1,sK15_skl,X0),sK5_skl(X1,sK15_skl,X0)),X1)
| X1 = relation_composition(X0,sK15_skl)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ513_spl])],[split_symbol_definition]) ).
fof(f8052,plain,
( ~ sQ8_spl
| sQ513_spl ),
inference(split_clause,[status(thm)],[f8037,f8049,f217]) ).
fof(f8053,definition,
! [X0,X1] :
( sQ514_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK14_skl,X0),apply(sK14_skl,sK6_skl(X1,sK14_skl,X0))),sK14_skl)
| in(ordered_pair(sK4_skl(X1,sK14_skl,X0),sK5_skl(X1,sK14_skl,X0)),X1)
| X1 = relation_composition(X0,sK14_skl)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).
fof(f8056,plain,
( ~ sQ9_spl
| sQ514_spl ),
inference(split_clause,[status(thm)],[f8038,f8053,f221]) ).
fof(f8060,plain,
! [X0,X1] :
( ~ in(sK9_skl,sK6_skl(X1,sK9_skl,X0))
| in(ordered_pair(sK4_skl(X1,sK9_skl,X0),sK5_skl(X1,sK9_skl,X0)),X1)
| X1 = relation_composition(X0,sK9_skl)
| ~ relation(X1)
| ~ relation(sK9_skl)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f676]) ).
fof(f8061,definition,
! [X0,X1] :
( sQ515_spl
<=> ( ~ in(sK9_skl,sK6_skl(X1,sK9_skl,X0))
| in(ordered_pair(sK4_skl(X1,sK9_skl,X0),sK5_skl(X1,sK9_skl,X0)),X1)
| X1 = relation_composition(X0,sK9_skl)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition]) ).
fof(f8064,plain,
( ~ sQ44_spl
| sQ515_spl ),
inference(split_clause,[status(thm)],[f8060,f8061,f585]) ).
fof(f8081,plain,
( ~ sQ42_spl
| ~ sQ73_spl
| relation_dom(sK15_skl) = relation_dom(sK15_skl)
| ~ relation(sK15_skl)
| apply(sK15_skl,sK1_skl(relation_dom(sK15_skl),sK15_skl)) = sK9_skl
| apply(sK15_skl,sK1_skl(relation_dom(sK15_skl),sK15_skl)) = sK9_skl ),
inference(resolution,[status(thm)],[f819,f801]) ).
fof(f8082,plain,
! [X0,X1,X2,X3] :
( ~ sQ73_spl
| ~ in(ordered_pair(sK0_skl(sK4_skl(relation_composition(X0,X1),X2,sK15_skl),relation_dom(sK15_skl),sK15_skl),sK5_skl(relation_composition(X0,X1),X2,sK15_skl)),X2)
| relation_composition(X0,X1) = relation_composition(sK15_skl,X2)
| ~ relation(X2)
| ~ relation(sK15_skl)
| ~ in(ordered_pair(X3,sK5_skl(relation_composition(X0,X1),X2,sK15_skl)),X1)
| ~ in(ordered_pair(sK4_skl(relation_composition(X0,X1),X2,sK15_skl),X3),X0)
| ~ relation(X1)
| ~ relation(X0)
| apply(sK15_skl,sK4_skl(relation_composition(X0,X1),X2,sK15_skl)) = sK9_skl ),
inference(resolution,[status(thm)],[f819,f318]) ).
fof(f8087,definition,
( sQ516_spl
<=> apply(sK15_skl,sK1_skl(relation_dom(sK15_skl),sK15_skl)) = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f8088,plain,
( ~ sQ516_spl
| apply(sK15_skl,sK1_skl(relation_dom(sK15_skl),sK15_skl)) = sK9_skl ),
inference(component_clause,[status(thm)],[f8087]) ).
fof(f8090,definition,
( sQ517_spl
<=> relation_dom(sK15_skl) = relation_dom(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f8093,plain,
( ~ sQ42_spl
| ~ sQ73_spl
| sQ517_spl
| ~ sQ8_spl
| sQ516_spl ),
inference(split_clause,[status(thm)],[f8081,f8087,f217,f8090,f818,f524]) ).
fof(f8094,definition,
! [X0,X1,X2,X3] :
( sQ518_spl
<=> ( ~ in(ordered_pair(sK0_skl(sK4_skl(relation_composition(X0,X1),X2,sK15_skl),relation_dom(sK15_skl),sK15_skl),sK5_skl(relation_composition(X0,X1),X2,sK15_skl)),X2)
| relation_composition(X0,X1) = relation_composition(sK15_skl,X2)
| ~ relation(X2)
| ~ in(ordered_pair(X3,sK5_skl(relation_composition(X0,X1),X2,sK15_skl)),X1)
| ~ in(ordered_pair(sK4_skl(relation_composition(X0,X1),X2,sK15_skl),X3),X0)
| ~ relation(X1)
| ~ relation(X0)
| apply(sK15_skl,sK4_skl(relation_composition(X0,X1),X2,sK15_skl)) = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).
fof(f8097,plain,
( ~ sQ73_spl
| ~ sQ8_spl
| sQ518_spl ),
inference(split_clause,[status(thm)],[f8082,f8094,f217,f818]) ).
fof(f8104,plain,
! [X0,X1,X2,X3] :
( ~ sQ74_spl
| ~ in(ordered_pair(apply(sK15_skl,sK4_skl(relation_composition(X0,X1),X2,sK15_skl)),sK5_skl(relation_composition(X0,X1),X2,sK15_skl)),X2)
| relation_composition(X0,X1) = relation_composition(sK15_skl,X2)
| ~ relation(X2)
| ~ relation(sK15_skl)
| ~ in(ordered_pair(X3,sK5_skl(relation_composition(X0,X1),X2,sK15_skl)),X1)
| ~ in(ordered_pair(sK4_skl(relation_composition(X0,X1),X2,sK15_skl),X3),X0)
| ~ relation(X1)
| ~ relation(X0)
| apply(sK15_skl,sK4_skl(relation_composition(X0,X1),X2,sK15_skl)) = sK9_skl ),
inference(resolution,[status(thm)],[f823,f318]) ).
fof(f8112,definition,
! [X0,X1,X2,X3] :
( sQ520_spl
<=> ( ~ in(ordered_pair(apply(sK15_skl,sK4_skl(relation_composition(X0,X1),X2,sK15_skl)),sK5_skl(relation_composition(X0,X1),X2,sK15_skl)),X2)
| relation_composition(X0,X1) = relation_composition(sK15_skl,X2)
| ~ relation(X2)
| ~ in(ordered_pair(X3,sK5_skl(relation_composition(X0,X1),X2,sK15_skl)),X1)
| ~ in(ordered_pair(sK4_skl(relation_composition(X0,X1),X2,sK15_skl),X3),X0)
| ~ relation(X1)
| ~ relation(X0)
| apply(sK15_skl,sK4_skl(relation_composition(X0,X1),X2,sK15_skl)) = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ520_spl])],[split_symbol_definition]) ).
fof(f8115,plain,
( ~ sQ74_spl
| ~ sQ8_spl
| sQ520_spl ),
inference(split_clause,[status(thm)],[f8104,f8112,f217,f822]) ).
fof(f8477,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| ~ in(ordered_pair(X2,sK5_skl(X1,X0,sK9_skl)),X0)
| ~ in(ordered_pair(sK4_skl(X1,X0,sK9_skl),X2),sK9_skl)
| X1 = relation_composition(sK9_skl,X0)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation(sK9_skl)
| X1 = relation_composition(sK9_skl,X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f742,f72]) ).
fof(f8478,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ66_spl
| sK5_skl(sK8_skl,X0,sK9_skl) = apply(sK8_skl,sK4_skl(sK8_skl,X0,sK9_skl))
| sK8_skl = relation_composition(sK9_skl,X0)
| ~ relation(sK8_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f742,f298]) ).
fof(f8479,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ66_spl
| sK5_skl(sK14_skl,X0,sK9_skl) = apply(sK14_skl,sK4_skl(sK14_skl,X0,sK9_skl))
| sK14_skl = relation_composition(sK9_skl,X0)
| ~ relation(sK14_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f742,f307]) ).
fof(f8480,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ66_spl
| sK5_skl(sK15_skl,X0,sK9_skl) = apply(sK15_skl,sK4_skl(sK15_skl,X0,sK9_skl))
| sK15_skl = relation_composition(sK9_skl,X0)
| ~ relation(sK15_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f742,f303]) ).
fof(f8484,plain,
! [X0] :
( ~ sQ66_spl
| sK9_skl = relation_composition(sK9_skl,X0)
| ~ relation(sK9_skl)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f742,f711]) ).
fof(f8488,definition,
! [X0,X1,X2] :
( sQ523_spl
<=> ( ~ in(ordered_pair(X2,sK5_skl(X1,X0,sK9_skl)),X0)
| ~ in(ordered_pair(sK4_skl(X1,X0,sK9_skl),X2),sK9_skl)
| X1 = relation_composition(sK9_skl,X0)
| ~ relation(X1)
| ~ relation(X0)
| X1 = relation_composition(sK9_skl,X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition]) ).
fof(f8491,plain,
( ~ sQ66_spl
| ~ sQ44_spl
| sQ523_spl ),
inference(split_clause,[status(thm)],[f8477,f8488,f585,f741]) ).
fof(f8492,definition,
! [X0] :
( sQ524_spl
<=> ( sK5_skl(sK8_skl,X0,sK9_skl) = apply(sK8_skl,sK4_skl(sK8_skl,X0,sK9_skl))
| sK8_skl = relation_composition(sK9_skl,X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).
fof(f8495,plain,
( ~ sQ18_spl
| ~ sQ66_spl
| ~ sQ17_spl
| sQ524_spl ),
inference(split_clause,[status(thm)],[f8478,f8492,f294,f741,f297]) ).
fof(f8496,definition,
! [X0] :
( sQ525_spl
<=> ( sK5_skl(sK14_skl,X0,sK9_skl) = apply(sK14_skl,sK4_skl(sK14_skl,X0,sK9_skl))
| sK14_skl = relation_composition(sK9_skl,X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ525_spl])],[split_symbol_definition]) ).
fof(f8499,plain,
( ~ sQ20_spl
| ~ sQ66_spl
| ~ sQ9_spl
| sQ525_spl ),
inference(split_clause,[status(thm)],[f8479,f8496,f221,f741,f306]) ).
fof(f8500,definition,
! [X0] :
( sQ526_spl
<=> ( sK5_skl(sK15_skl,X0,sK9_skl) = apply(sK15_skl,sK4_skl(sK15_skl,X0,sK9_skl))
| sK15_skl = relation_composition(sK9_skl,X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition]) ).
fof(f8503,plain,
( ~ sQ19_spl
| ~ sQ66_spl
| ~ sQ8_spl
| sQ526_spl ),
inference(split_clause,[status(thm)],[f8480,f8500,f217,f741,f302]) ).
fof(f8507,definition,
! [X0] :
( sQ527_spl
<=> ( sK9_skl = relation_composition(sK9_skl,X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ527_spl])],[split_symbol_definition]) ).
fof(f8510,plain,
( ~ sQ66_spl
| ~ sQ44_spl
| sQ527_spl ),
inference(split_clause,[status(thm)],[f8484,f8507,f585,f741]) ).
fof(f8513,plain,
! [X0,X1] :
( ~ sQ47_spl
| ~ sQ80_spl
| ~ relation(sK9_skl)
| ~ in(ordered_pair(X1,X0),relation_composition(sK9_skl,sK15_skl))
| X0 = apply(relation_composition(sK9_skl,sK15_skl),X1) ),
inference(resolution,[status(thm)],[f886,f596]) ).
fof(f8514,plain,
! [X0,X1] :
( ~ sQ80_spl
| ~ relation(sK8_skl)
| ~ in(ordered_pair(X1,X0),relation_composition(sK8_skl,sK15_skl))
| X0 = apply(relation_composition(sK8_skl,sK15_skl),X1) ),
inference(resolution,[status(thm)],[f886,f104]) ).
fof(f8516,plain,
! [X0,X1] :
( ~ sQ80_spl
| ~ relation(sK15_skl)
| ~ in(ordered_pair(X1,X0),relation_composition(sK15_skl,sK15_skl))
| X0 = apply(relation_composition(sK15_skl,sK15_skl),X1) ),
inference(resolution,[status(thm)],[f886,f127]) ).
fof(f8517,plain,
! [X0,X1] :
( ~ sQ80_spl
| ~ relation(sK14_skl)
| ~ in(ordered_pair(X1,X0),relation_composition(sK14_skl,sK15_skl))
| X0 = apply(relation_composition(sK14_skl,sK15_skl),X1) ),
inference(resolution,[status(thm)],[f886,f125]) ).
fof(f8519,definition,
! [X0,X1] :
( sQ528_spl
<=> ( ~ in(ordered_pair(X1,X0),relation_composition(sK9_skl,sK15_skl))
| X0 = apply(relation_composition(sK9_skl,sK15_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ528_spl])],[split_symbol_definition]) ).
fof(f8522,plain,
( ~ sQ47_spl
| ~ sQ80_spl
| ~ sQ44_spl
| sQ528_spl ),
inference(split_clause,[status(thm)],[f8513,f8519,f585,f885,f595]) ).
fof(f8523,definition,
! [X0,X1] :
( sQ529_spl
<=> ( ~ in(ordered_pair(X1,X0),relation_composition(sK8_skl,sK15_skl))
| X0 = apply(relation_composition(sK8_skl,sK15_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ529_spl])],[split_symbol_definition]) ).
fof(f8526,plain,
( ~ sQ80_spl
| ~ sQ17_spl
| sQ529_spl ),
inference(split_clause,[status(thm)],[f8514,f8523,f294,f885]) ).
fof(f8528,definition,
! [X0,X1] :
( sQ530_spl
<=> ( ~ in(ordered_pair(X1,X0),relation_composition(sK15_skl,sK15_skl))
| X0 = apply(relation_composition(sK15_skl,sK15_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).
fof(f8531,plain,
( ~ sQ80_spl
| ~ sQ8_spl
| sQ530_spl ),
inference(split_clause,[status(thm)],[f8516,f8528,f217,f885]) ).
fof(f8532,definition,
! [X0,X1] :
( sQ531_spl
<=> ( ~ in(ordered_pair(X1,X0),relation_composition(sK14_skl,sK15_skl))
| X0 = apply(relation_composition(sK14_skl,sK15_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ531_spl])],[split_symbol_definition]) ).
fof(f8535,plain,
( ~ sQ80_spl
| ~ sQ9_spl
| sQ531_spl ),
inference(split_clause,[status(thm)],[f8517,f8532,f221,f885]) ).
fof(f8540,plain,
! [X0,X1] :
( ~ sQ47_spl
| ~ sQ81_spl
| ~ relation(sK9_skl)
| ~ in(ordered_pair(X1,X0),relation_composition(sK9_skl,sK14_skl))
| X0 = apply(relation_composition(sK9_skl,sK14_skl),X1) ),
inference(resolution,[status(thm)],[f890,f596]) ).
fof(f8541,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ relation(sK8_skl)
| ~ in(ordered_pair(X1,X0),relation_composition(sK8_skl,sK14_skl))
| X0 = apply(relation_composition(sK8_skl,sK14_skl),X1) ),
inference(resolution,[status(thm)],[f890,f104]) ).
fof(f8543,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ relation(sK15_skl)
| ~ in(ordered_pair(X1,X0),relation_composition(sK15_skl,sK14_skl))
| X0 = apply(relation_composition(sK15_skl,sK14_skl),X1) ),
inference(resolution,[status(thm)],[f890,f127]) ).
fof(f8544,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ relation(sK14_skl)
| ~ in(ordered_pair(X1,X0),relation_composition(sK14_skl,sK14_skl))
| X0 = apply(relation_composition(sK14_skl,sK14_skl),X1) ),
inference(resolution,[status(thm)],[f890,f125]) ).
fof(f8546,definition,
! [X0,X1] :
( sQ532_spl
<=> ( ~ in(ordered_pair(X1,X0),relation_composition(sK9_skl,sK14_skl))
| X0 = apply(relation_composition(sK9_skl,sK14_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ532_spl])],[split_symbol_definition]) ).
fof(f8549,plain,
( ~ sQ47_spl
| ~ sQ81_spl
| ~ sQ44_spl
| sQ532_spl ),
inference(split_clause,[status(thm)],[f8540,f8546,f585,f889,f595]) ).
fof(f8550,definition,
! [X0,X1] :
( sQ533_spl
<=> ( ~ in(ordered_pair(X1,X0),relation_composition(sK8_skl,sK14_skl))
| X0 = apply(relation_composition(sK8_skl,sK14_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ533_spl])],[split_symbol_definition]) ).
fof(f8553,plain,
( ~ sQ81_spl
| ~ sQ17_spl
| sQ533_spl ),
inference(split_clause,[status(thm)],[f8541,f8550,f294,f889]) ).
fof(f8555,definition,
! [X0,X1] :
( sQ534_spl
<=> ( ~ in(ordered_pair(X1,X0),relation_composition(sK15_skl,sK14_skl))
| X0 = apply(relation_composition(sK15_skl,sK14_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ534_spl])],[split_symbol_definition]) ).
fof(f8558,plain,
( ~ sQ81_spl
| ~ sQ8_spl
| sQ534_spl ),
inference(split_clause,[status(thm)],[f8543,f8555,f217,f889]) ).
fof(f8559,definition,
! [X0,X1] :
( sQ535_spl
<=> ( ~ in(ordered_pair(X1,X0),relation_composition(sK14_skl,sK14_skl))
| X0 = apply(relation_composition(sK14_skl,sK14_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f8562,plain,
( ~ sQ81_spl
| ~ sQ9_spl
| sQ535_spl ),
inference(split_clause,[status(thm)],[f8544,f8559,f221,f889]) ).
fof(f8589,definition,
! [X0,X1] :
( sQ536_spl
<=> ( in(ordered_pair(sK4_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_dom(sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).
fof(f8842,plain,
! [X0] :
( ~ sQ3_spl
| ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f398]) ).
fof(f8843,plain,
! [X0] :
( ~ sQ3_spl
| ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f392]) ).
fof(f8844,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f394]) ).
fof(f8845,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| X0 = relation_dom(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f394]) ).
fof(f8846,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f317]) ).
fof(f8847,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f321]) ).
fof(f8848,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f320]) ).
fof(f8849,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(X2,X0,sK9_skl,relation_composition(sK15_skl,sK14_skl),sK9_skl),X2),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X1,X2),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f319]) ).
fof(f8850,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0,X1)),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0,X1),X2),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f318]) ).
fof(f8851,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK9_skl,relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f252]) ).
fof(f8852,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f252]) ).
fof(f8853,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f252]) ).
fof(f8854,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f252]) ).
fof(f8855,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK5_skl(X1,sK9_skl,X0)),relation_composition(sK15_skl,sK14_skl))
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f251]) ).
fof(f8856,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK9_skl,relation_composition(sK15_skl,sK14_skl),sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),relation_composition(sK15_skl,sK14_skl))
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f251]) ).
fof(f8857,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),relation_composition(sK15_skl,sK14_skl))
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f251]) ).
fof(f8858,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),relation_composition(sK15_skl,sK14_skl))
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f251]) ).
fof(f8859,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK9_skl,relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f209]) ).
fof(f8860,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f209]) ).
fof(f8861,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f209]) ).
fof(f8862,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f209]) ).
fof(f8863,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK6_skl(X1,X0,sK9_skl)),relation_composition(sK15_skl,sK14_skl))
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f208]) ).
fof(f8864,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK9_skl,relation_composition(sK15_skl,sK14_skl),sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f208]) ).
fof(f8865,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f208]) ).
fof(f8866,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f1102,f208]) ).
fof(f8867,plain,
! [X0] :
( ~ sQ3_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f201]) ).
fof(f8868,plain,
! [X0] :
( ~ sQ3_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f198]) ).
fof(f8869,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ in(ordered_pair(X2,X1),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f183]) ).
fof(f8873,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),X1),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f199]) ).
fof(f8874,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f1102,f196]) ).
fof(f8878,definition,
! [X0] :
( sQ537_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),relation_composition(sK15_skl,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f8881,plain,
( sQ537_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8842,f585,f169,f8878]) ).
fof(f8882,definition,
! [X0] :
( sQ538_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition]) ).
fof(f8885,plain,
( sQ538_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8843,f585,f169,f8882]) ).
fof(f8886,definition,
! [X0,X1] :
( sQ539_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ539_spl])],[split_symbol_definition]) ).
fof(f8889,plain,
( sQ539_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8844,f585,f169,f8886]) ).
fof(f8890,definition,
! [X0,X1] :
( sQ540_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| X0 = relation_dom(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f8893,plain,
( sQ540_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8845,f585,f169,f8890]) ).
fof(f8894,definition,
! [X0,X1,X2] :
( sQ541_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition]) ).
fof(f8897,plain,
( sQ541_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8846,f585,f169,f8894]) ).
fof(f8898,definition,
! [X0,X1,X2] :
( sQ542_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ542_spl])],[split_symbol_definition]) ).
fof(f8901,plain,
( sQ542_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8847,f585,f169,f8898]) ).
fof(f8902,definition,
! [X0,X1,X2] :
( sQ543_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X1,X2),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).
fof(f8905,plain,
( sQ543_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8848,f585,f169,f8902]) ).
fof(f8906,definition,
! [X0,X1,X2] :
( sQ544_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,relation_composition(sK15_skl,sK14_skl),sK9_skl),X2),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X1,X2),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f8909,plain,
( sQ544_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8849,f585,f169,f8906]) ).
fof(f8910,definition,
! [X0,X1,X2,X3] :
( sQ545_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0,X1)),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(sK4_skl(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0,X1),X2),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).
fof(f8913,plain,
( sQ545_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8850,f585,f169,f8910]) ).
fof(f8914,definition,
! [X0,X1] :
( sQ546_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK9_skl,relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ546_spl])],[split_symbol_definition]) ).
fof(f8917,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ546_spl ),
inference(split_clause,[status(thm)],[f8851,f8914,f585,f169]) ).
fof(f8918,definition,
! [X0,X1] :
( sQ547_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).
fof(f8921,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ547_spl ),
inference(split_clause,[status(thm)],[f8852,f8918,f585,f169]) ).
fof(f8922,definition,
! [X0,X1] :
( sQ548_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f8925,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ548_spl ),
inference(split_clause,[status(thm)],[f8853,f8922,f585,f169]) ).
fof(f8926,definition,
! [X0,X1] :
( sQ549_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition]) ).
fof(f8929,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ549_spl ),
inference(split_clause,[status(thm)],[f8854,f8926,f585,f169]) ).
fof(f8930,definition,
! [X0,X1] :
( sQ550_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK5_skl(X1,sK9_skl,X0)),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition]) ).
fof(f8933,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ550_spl ),
inference(split_clause,[status(thm)],[f8855,f8930,f585,f169]) ).
fof(f8934,definition,
! [X0,X1] :
( sQ551_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK9_skl,relation_composition(sK15_skl,sK14_skl),sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition]) ).
fof(f8937,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ551_spl ),
inference(split_clause,[status(thm)],[f8856,f8934,f585,f169]) ).
fof(f8938,definition,
! [X0,X1] :
( sQ552_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ552_spl])],[split_symbol_definition]) ).
fof(f8941,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ552_spl ),
inference(split_clause,[status(thm)],[f8857,f8938,f585,f169]) ).
fof(f8942,definition,
! [X0,X1] :
( sQ553_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition]) ).
fof(f8945,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ553_spl ),
inference(split_clause,[status(thm)],[f8858,f8942,f585,f169]) ).
fof(f8946,definition,
! [X0,X1] :
( sQ554_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK9_skl,relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).
fof(f8949,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ554_spl ),
inference(split_clause,[status(thm)],[f8859,f8946,f585,f169]) ).
fof(f8950,definition,
! [X0,X1] :
( sQ555_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ555_spl])],[split_symbol_definition]) ).
fof(f8953,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ555_spl ),
inference(split_clause,[status(thm)],[f8860,f8950,f585,f169]) ).
fof(f8954,definition,
! [X0,X1] :
( sQ556_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ556_spl])],[split_symbol_definition]) ).
fof(f8957,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ556_spl ),
inference(split_clause,[status(thm)],[f8861,f8954,f585,f169]) ).
fof(f8958,definition,
! [X0,X1] :
( sQ557_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ557_spl])],[split_symbol_definition]) ).
fof(f8961,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ557_spl ),
inference(split_clause,[status(thm)],[f8862,f8958,f585,f169]) ).
fof(f8962,definition,
! [X0,X1] :
( sQ558_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK6_skl(X1,X0,sK9_skl)),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ558_spl])],[split_symbol_definition]) ).
fof(f8965,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ558_spl ),
inference(split_clause,[status(thm)],[f8863,f8962,f585,f169]) ).
fof(f8966,definition,
! [X0,X1] :
( sQ559_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK9_skl,relation_composition(sK15_skl,sK14_skl),sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ559_spl])],[split_symbol_definition]) ).
fof(f8969,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ559_spl ),
inference(split_clause,[status(thm)],[f8864,f8966,f585,f169]) ).
fof(f8970,definition,
! [X0,X1] :
( sQ560_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK4_skl(X1,X0,sK9_skl),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ560_spl])],[split_symbol_definition]) ).
fof(f8973,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ560_spl ),
inference(split_clause,[status(thm)],[f8865,f8970,f585,f169]) ).
fof(f8974,definition,
! [X0,X1] :
( sQ561_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK6_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ561_spl])],[split_symbol_definition]) ).
fof(f8977,plain,
( ~ sQ3_spl
| ~ sQ44_spl
| sQ561_spl ),
inference(split_clause,[status(thm)],[f8866,f8974,f585,f169]) ).
fof(f8978,definition,
! [X0] :
( sQ562_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))),relation_composition(sK15_skl,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ562_spl])],[split_symbol_definition]) ).
fof(f8981,plain,
( sQ562_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8867,f585,f169,f8978]) ).
fof(f8982,definition,
! [X0] :
( sQ563_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK3_skl(sK2_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),sK1_skl(X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ563_spl])],[split_symbol_definition]) ).
fof(f8985,plain,
( sQ563_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8868,f585,f169,f8982]) ).
fof(f8986,definition,
! [X0,X1,X2] :
( sQ564_spl
<=> ( ~ in(ordered_pair(X2,X1),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X2),sK9_skl)
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ564_spl])],[split_symbol_definition]) ).
fof(f8989,plain,
( sQ564_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8869,f585,f169,f8986]) ).
fof(f8993,definition,
! [X0,X1] :
( sQ565_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl),X1),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ565_spl])],[split_symbol_definition]) ).
fof(f8996,plain,
( sQ565_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8873,f585,f169,f8993]) ).
fof(f8997,definition,
! [X0,X1] :
( sQ566_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK9_skl,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ566_spl])],[split_symbol_definition]) ).
fof(f9000,plain,
( sQ566_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f8874,f585,f169,f8997]) ).
fof(f9220,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| ~ relation(sK9_skl)
| ~ relation(sK9_skl)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,relation_composition(sK9_skl,sK9_skl)))
| X0 = apply(relation_composition(X1,relation_composition(sK9_skl,sK9_skl)),X2) ),
inference(resolution,[status(thm)],[f884,f596]) ).
fof(f9221,plain,
! [X0,X1,X2,X3] :
( ~ sQ47_spl
| ~ function(X2)
| ~ relation(X2)
| ~ relation(sK9_skl)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(sK9_skl,X2)))
| X0 = apply(relation_composition(X1,relation_composition(sK9_skl,X2)),X3) ),
inference(resolution,[status(thm)],[f884,f596]) ).
fof(f9222,plain,
! [X0,X1,X2] :
( ~ relation(sK8_skl)
| ~ relation(sK8_skl)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,relation_composition(sK8_skl,sK8_skl)))
| X0 = apply(relation_composition(X1,relation_composition(sK8_skl,sK8_skl)),X2) ),
inference(resolution,[status(thm)],[f884,f104]) ).
fof(f9223,plain,
! [X0,X1,X2,X3] :
( ~ function(X2)
| ~ relation(X2)
| ~ relation(sK8_skl)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(sK8_skl,X2)))
| X0 = apply(relation_composition(X1,relation_composition(sK8_skl,X2)),X3) ),
inference(resolution,[status(thm)],[f884,f104]) ).
fof(f9226,plain,
! [X0,X1,X2] :
( ~ relation(sK15_skl)
| ~ relation(sK15_skl)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,relation_composition(sK15_skl,sK15_skl)))
| X0 = apply(relation_composition(X1,relation_composition(sK15_skl,sK15_skl)),X2) ),
inference(resolution,[status(thm)],[f884,f127]) ).
fof(f9227,plain,
! [X0,X1,X2,X3] :
( ~ function(X2)
| ~ relation(X2)
| ~ relation(sK15_skl)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(sK15_skl,X2)))
| X0 = apply(relation_composition(X1,relation_composition(sK15_skl,X2)),X3) ),
inference(resolution,[status(thm)],[f884,f127]) ).
fof(f9228,plain,
! [X0,X1,X2] :
( ~ relation(sK14_skl)
| ~ relation(sK14_skl)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,relation_composition(sK14_skl,sK14_skl)))
| X0 = apply(relation_composition(X1,relation_composition(sK14_skl,sK14_skl)),X2) ),
inference(resolution,[status(thm)],[f884,f125]) ).
fof(f9229,plain,
! [X0,X1,X2,X3] :
( ~ function(X2)
| ~ relation(X2)
| ~ relation(sK14_skl)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(sK14_skl,X2)))
| X0 = apply(relation_composition(X1,relation_composition(sK14_skl,X2)),X3) ),
inference(resolution,[status(thm)],[f884,f125]) ).
fof(f9232,plain,
! [X0,X1,X2,X3] :
( ~ sQ47_spl
| ~ relation(sK9_skl)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(X2,sK9_skl)))
| X0 = apply(relation_composition(X1,relation_composition(X2,sK9_skl)),X3) ),
inference(resolution,[status(thm)],[f884,f596]) ).
fof(f9233,plain,
! [X0,X1,X2,X3] :
( ~ relation(sK8_skl)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(X2,sK8_skl)))
| X0 = apply(relation_composition(X1,relation_composition(X2,sK8_skl)),X3) ),
inference(resolution,[status(thm)],[f884,f104]) ).
fof(f9235,plain,
! [X0,X1,X2,X3] :
( ~ relation(sK15_skl)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(X2,sK15_skl)))
| X0 = apply(relation_composition(X1,relation_composition(X2,sK15_skl)),X3) ),
inference(resolution,[status(thm)],[f884,f127]) ).
fof(f9236,plain,
! [X0,X1,X2,X3] :
( ~ relation(sK14_skl)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(X2,sK14_skl)))
| X0 = apply(relation_composition(X1,relation_composition(X2,sK14_skl)),X3) ),
inference(resolution,[status(thm)],[f884,f125]) ).
fof(f9238,definition,
! [X0,X1,X2] :
( sQ568_spl
<=> ( ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,relation_composition(sK9_skl,sK9_skl)))
| X0 = apply(relation_composition(X1,relation_composition(sK9_skl,sK9_skl)),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ568_spl])],[split_symbol_definition]) ).
fof(f9241,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ568_spl ),
inference(split_clause,[status(thm)],[f9220,f9238,f585,f595]) ).
fof(f9242,definition,
! [X0,X1,X2,X3] :
( sQ569_spl
<=> ( ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(sK9_skl,X2)))
| X0 = apply(relation_composition(X1,relation_composition(sK9_skl,X2)),X3) ) ),
introduced(definition,[new_symbols(definition,[sQ569_spl])],[split_symbol_definition]) ).
fof(f9245,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ569_spl ),
inference(split_clause,[status(thm)],[f9221,f9242,f585,f595]) ).
fof(f9246,definition,
! [X0,X1,X2] :
( sQ570_spl
<=> ( ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,relation_composition(sK8_skl,sK8_skl)))
| X0 = apply(relation_composition(X1,relation_composition(sK8_skl,sK8_skl)),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ570_spl])],[split_symbol_definition]) ).
fof(f9249,plain,
( ~ sQ17_spl
| sQ570_spl ),
inference(split_clause,[status(thm)],[f9222,f9246,f294]) ).
fof(f9250,definition,
! [X0,X1,X2,X3] :
( sQ571_spl
<=> ( ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(sK8_skl,X2)))
| X0 = apply(relation_composition(X1,relation_composition(sK8_skl,X2)),X3) ) ),
introduced(definition,[new_symbols(definition,[sQ571_spl])],[split_symbol_definition]) ).
fof(f9253,plain,
( ~ sQ17_spl
| sQ571_spl ),
inference(split_clause,[status(thm)],[f9223,f9250,f294]) ).
fof(f9257,definition,
! [X0,X1,X2] :
( sQ572_spl
<=> ( ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,relation_composition(sK15_skl,sK15_skl)))
| X0 = apply(relation_composition(X1,relation_composition(sK15_skl,sK15_skl)),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ572_spl])],[split_symbol_definition]) ).
fof(f9260,plain,
( ~ sQ8_spl
| sQ572_spl ),
inference(split_clause,[status(thm)],[f9226,f9257,f217]) ).
fof(f9261,definition,
! [X0,X1,X2,X3] :
( sQ573_spl
<=> ( ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(sK15_skl,X2)))
| X0 = apply(relation_composition(X1,relation_composition(sK15_skl,X2)),X3) ) ),
introduced(definition,[new_symbols(definition,[sQ573_spl])],[split_symbol_definition]) ).
fof(f9264,plain,
( ~ sQ8_spl
| sQ573_spl ),
inference(split_clause,[status(thm)],[f9227,f9261,f217]) ).
fof(f9265,definition,
! [X0,X1,X2] :
( sQ574_spl
<=> ( ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X0),relation_composition(X1,relation_composition(sK14_skl,sK14_skl)))
| X0 = apply(relation_composition(X1,relation_composition(sK14_skl,sK14_skl)),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ574_spl])],[split_symbol_definition]) ).
fof(f9268,plain,
( ~ sQ9_spl
| sQ574_spl ),
inference(split_clause,[status(thm)],[f9228,f9265,f221]) ).
fof(f9269,definition,
! [X0,X1,X2,X3] :
( sQ575_spl
<=> ( ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(sK14_skl,X2)))
| X0 = apply(relation_composition(X1,relation_composition(sK14_skl,X2)),X3) ) ),
introduced(definition,[new_symbols(definition,[sQ575_spl])],[split_symbol_definition]) ).
fof(f9272,plain,
( ~ sQ9_spl
| sQ575_spl ),
inference(split_clause,[status(thm)],[f9229,f9269,f221]) ).
fof(f9276,definition,
! [X0,X1,X2,X3] :
( sQ576_spl
<=> ( ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(X2,sK9_skl)))
| X0 = apply(relation_composition(X1,relation_composition(X2,sK9_skl)),X3) ) ),
introduced(definition,[new_symbols(definition,[sQ576_spl])],[split_symbol_definition]) ).
fof(f9279,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ576_spl ),
inference(split_clause,[status(thm)],[f9232,f9276,f585,f595]) ).
fof(f9280,definition,
! [X0,X1,X2,X3] :
( sQ577_spl
<=> ( ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(X2,sK8_skl)))
| X0 = apply(relation_composition(X1,relation_composition(X2,sK8_skl)),X3) ) ),
introduced(definition,[new_symbols(definition,[sQ577_spl])],[split_symbol_definition]) ).
fof(f9283,plain,
( ~ sQ17_spl
| sQ577_spl ),
inference(split_clause,[status(thm)],[f9233,f9280,f294]) ).
fof(f9285,definition,
! [X0,X1,X2,X3] :
( sQ578_spl
<=> ( ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(X2,sK15_skl)))
| X0 = apply(relation_composition(X1,relation_composition(X2,sK15_skl)),X3) ) ),
introduced(definition,[new_symbols(definition,[sQ578_spl])],[split_symbol_definition]) ).
fof(f9288,plain,
( ~ sQ8_spl
| sQ578_spl ),
inference(split_clause,[status(thm)],[f9235,f9285,f217]) ).
fof(f9289,definition,
! [X0,X1,X2,X3] :
( sQ579_spl
<=> ( ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X0),relation_composition(X1,relation_composition(X2,sK14_skl)))
| X0 = apply(relation_composition(X1,relation_composition(X2,sK14_skl)),X3) ) ),
introduced(definition,[new_symbols(definition,[sQ579_spl])],[split_symbol_definition]) ).
fof(f9292,plain,
( ~ sQ9_spl
| sQ579_spl ),
inference(split_clause,[status(thm)],[f9236,f9289,f221]) ).
fof(f9314,plain,
! [X0,X1,X2] :
( ~ empty(relation_dom(X2))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,X0,relation_dom(X2)),sK5_skl(X1,X0,relation_dom(X2))),X1)
| X1 = relation_composition(relation_dom(X2),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f768,f438]) ).
fof(f9317,plain,
! [X0,X1] :
( ~ empty(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_dom(sK9_skl)),sK5_skl(X1,X0,relation_dom(sK9_skl))),X1)
| X1 = relation_composition(relation_dom(sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f9314]) ).
fof(f9318,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| sQ484_spl ),
inference(split_clause,[status(thm)],[f9317,f6335,f585,f611]) ).
fof(f9319,plain,
! [X0,X1,X2] :
( ~ empty(relation_dom(X2))
| ~ relation(X2)
| in(ordered_pair(sK4_skl(X1,relation_dom(X2),X0),sK5_skl(X1,relation_dom(X2),X0)),X1)
| X1 = relation_composition(X0,relation_dom(X2))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f785,f438]) ).
fof(f9322,plain,
! [X0,X1] :
( ~ empty(sK9_skl)
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_dom(sK9_skl),X0),sK5_skl(X1,relation_dom(sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_dom(sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f9319]) ).
fof(f9323,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| sQ536_spl ),
inference(split_clause,[status(thm)],[f9322,f8589,f585,f611]) ).
fof(f9324,plain,
! [X0,X1] :
( ~ sQ47_spl
| ~ sQ79_spl
| ~ relation(sK9_skl)
| ~ in(ordered_pair(X1,X0),relation_composition(sK9_skl,sK8_skl))
| X0 = apply(relation_composition(sK9_skl,sK8_skl),X1) ),
inference(resolution,[status(thm)],[f881,f596]) ).
fof(f9325,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ relation(sK8_skl)
| ~ in(ordered_pair(X1,X0),relation_composition(sK8_skl,sK8_skl))
| X0 = apply(relation_composition(sK8_skl,sK8_skl),X1) ),
inference(resolution,[status(thm)],[f881,f104]) ).
fof(f9327,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ relation(sK15_skl)
| ~ in(ordered_pair(X1,X0),relation_composition(sK15_skl,sK8_skl))
| X0 = apply(relation_composition(sK15_skl,sK8_skl),X1) ),
inference(resolution,[status(thm)],[f881,f127]) ).
fof(f9328,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ relation(sK14_skl)
| ~ in(ordered_pair(X1,X0),relation_composition(sK14_skl,sK8_skl))
| X0 = apply(relation_composition(sK14_skl,sK8_skl),X1) ),
inference(resolution,[status(thm)],[f881,f125]) ).
fof(f9330,definition,
! [X0,X1] :
( sQ580_spl
<=> ( ~ in(ordered_pair(X1,X0),relation_composition(sK9_skl,sK8_skl))
| X0 = apply(relation_composition(sK9_skl,sK8_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ580_spl])],[split_symbol_definition]) ).
fof(f9333,plain,
( ~ sQ47_spl
| ~ sQ79_spl
| ~ sQ44_spl
| sQ580_spl ),
inference(split_clause,[status(thm)],[f9324,f9330,f585,f880,f595]) ).
fof(f9334,definition,
! [X0,X1] :
( sQ581_spl
<=> ( ~ in(ordered_pair(X1,X0),relation_composition(sK8_skl,sK8_skl))
| X0 = apply(relation_composition(sK8_skl,sK8_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ581_spl])],[split_symbol_definition]) ).
fof(f9337,plain,
( ~ sQ79_spl
| ~ sQ17_spl
| sQ581_spl ),
inference(split_clause,[status(thm)],[f9325,f9334,f294,f880]) ).
fof(f9339,definition,
! [X0,X1] :
( sQ582_spl
<=> ( ~ in(ordered_pair(X1,X0),relation_composition(sK15_skl,sK8_skl))
| X0 = apply(relation_composition(sK15_skl,sK8_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ582_spl])],[split_symbol_definition]) ).
fof(f9342,plain,
( ~ sQ79_spl
| ~ sQ8_spl
| sQ582_spl ),
inference(split_clause,[status(thm)],[f9327,f9339,f217,f880]) ).
fof(f9343,definition,
! [X0,X1] :
( sQ583_spl
<=> ( ~ in(ordered_pair(X1,X0),relation_composition(sK14_skl,sK8_skl))
| X0 = apply(relation_composition(sK14_skl,sK8_skl),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ583_spl])],[split_symbol_definition]) ).
fof(f9346,plain,
( ~ sQ79_spl
| ~ sQ9_spl
| sQ583_spl ),
inference(split_clause,[status(thm)],[f9328,f9343,f221,f880]) ).
fof(f9382,plain,
! [X0] :
( ~ sQ3_spl
| ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f398]) ).
fof(f9383,plain,
! [X0] :
( ~ sQ3_spl
| ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f392]) ).
fof(f9384,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ in(ordered_pair(sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f394]) ).
fof(f9385,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| X0 = relation_dom(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f394]) ).
fof(f9386,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f317]) ).
fof(f9387,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f321]) ).
fof(f9388,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f320]) ).
fof(f9389,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,relation_composition(sK15_skl,sK14_skl)),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f319]) ).
fof(f9390,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ in(ordered_pair(X3,sK5_skl(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0,X1),X2),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f318]) ).
fof(f9391,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK9_skl,sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f252]) ).
fof(f9392,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f252]) ).
fof(f9393,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f252]) ).
fof(f9394,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f252]) ).
fof(f9395,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f251]) ).
fof(f9396,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK9_skl,sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f251]) ).
fof(f9397,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f251]) ).
fof(f9398,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f251]) ).
fof(f9399,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl,sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f209]) ).
fof(f9400,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f209]) ).
fof(f9401,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f209]) ).
fof(f9402,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f209]) ).
fof(f9403,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f208]) ).
fof(f9404,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl,sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f208]) ).
fof(f9405,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f208]) ).
fof(f9406,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f3344,f208]) ).
fof(f9407,plain,
! [X0] :
( ~ sQ3_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f201]) ).
fof(f9408,plain,
! [X0] :
( ~ sQ3_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f198]) ).
fof(f9409,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f183]) ).
fof(f9413,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(sK3_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f199]) ).
fof(f9414,plain,
! [X0,X1] :
( ~ sQ3_spl
| in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(relation_composition(sK15_skl,sK14_skl)) ),
inference(paramodulation,[status(thm)],[f3344,f196]) ).
fof(f9418,definition,
! [X0] :
( sQ584_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ584_spl])],[split_symbol_definition]) ).
fof(f9421,plain,
( sQ584_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9382,f169,f585,f9418]) ).
fof(f9422,definition,
! [X0] :
( sQ585_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ585_spl])],[split_symbol_definition]) ).
fof(f9425,plain,
( sQ585_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9383,f169,f585,f9422]) ).
fof(f9426,definition,
! [X0,X1] :
( sQ586_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ586_spl])],[split_symbol_definition]) ).
fof(f9429,plain,
( sQ586_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9384,f169,f585,f9426]) ).
fof(f9430,definition,
! [X0,X1] :
( sQ587_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| X0 = relation_dom(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ587_spl])],[split_symbol_definition]) ).
fof(f9433,plain,
( sQ587_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9385,f169,f585,f9430]) ).
fof(f9434,definition,
! [X0,X1,X2] :
( sQ588_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),relation_composition(sK15_skl,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ588_spl])],[split_symbol_definition]) ).
fof(f9437,plain,
( sQ588_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9386,f169,f585,f9434]) ).
fof(f9438,definition,
! [X0,X1,X2] :
( sQ589_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),relation_composition(sK15_skl,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ589_spl])],[split_symbol_definition]) ).
fof(f9441,plain,
( sQ589_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9387,f169,f585,f9438]) ).
fof(f9442,definition,
! [X0,X1,X2] :
( sQ590_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),relation_composition(sK15_skl,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ590_spl])],[split_symbol_definition]) ).
fof(f9445,plain,
( sQ590_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9388,f169,f585,f9442]) ).
fof(f9446,definition,
! [X0,X1,X2] :
( sQ591_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK9_skl,relation_composition(sK15_skl,sK14_skl)),X2),sK9_skl)
| ~ in(ordered_pair(X1,X2),sK9_skl)
| ~ in(ordered_pair(X0,X1),relation_composition(sK15_skl,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ591_spl])],[split_symbol_definition]) ).
fof(f9449,plain,
( sQ591_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9389,f169,f585,f9446]) ).
fof(f9450,definition,
! [X0,X1,X2,X3] :
( sQ592_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0,X1)),sK9_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0,X1),X2),relation_composition(sK15_skl,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ592_spl])],[split_symbol_definition]) ).
fof(f9453,plain,
( sQ592_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9390,f169,f585,f9450]) ).
fof(f9454,definition,
! [X0,X1] :
( sQ593_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK9_skl,sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ593_spl])],[split_symbol_definition]) ).
fof(f9457,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ593_spl ),
inference(split_clause,[status(thm)],[f9391,f9454,f169,f585]) ).
fof(f9458,definition,
! [X0,X1] :
( sQ594_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ594_spl])],[split_symbol_definition]) ).
fof(f9461,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ594_spl ),
inference(split_clause,[status(thm)],[f9392,f9458,f169,f585]) ).
fof(f9462,definition,
! [X0,X1] :
( sQ595_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition]) ).
fof(f9465,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ595_spl ),
inference(split_clause,[status(thm)],[f9393,f9462,f169,f585]) ).
fof(f9466,definition,
! [X0,X1] :
( sQ596_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ596_spl])],[split_symbol_definition]) ).
fof(f9469,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ596_spl ),
inference(split_clause,[status(thm)],[f9394,f9466,f169,f585]) ).
fof(f9470,definition,
! [X0,X1] :
( sQ597_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,sK9_skl,X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ597_spl])],[split_symbol_definition]) ).
fof(f9473,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ597_spl ),
inference(split_clause,[status(thm)],[f9395,f9470,f169,f585]) ).
fof(f9474,definition,
! [X0,X1] :
( sQ598_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK9_skl,sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ598_spl])],[split_symbol_definition]) ).
fof(f9477,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ598_spl ),
inference(split_clause,[status(thm)],[f9396,f9474,f169,f585]) ).
fof(f9478,definition,
! [X0,X1] :
( sQ599_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ599_spl])],[split_symbol_definition]) ).
fof(f9481,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ599_spl ),
inference(split_clause,[status(thm)],[f9397,f9478,f169,f585]) ).
fof(f9482,definition,
! [X0,X1] :
( sQ600_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0),sK5_skl(X1,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ600_spl])],[split_symbol_definition]) ).
fof(f9485,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ600_spl ),
inference(split_clause,[status(thm)],[f9398,f9482,f169,f585]) ).
fof(f9486,definition,
! [X0,X1] :
( sQ601_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl,sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ601_spl])],[split_symbol_definition]) ).
fof(f9489,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ601_spl ),
inference(split_clause,[status(thm)],[f9399,f9486,f169,f585]) ).
fof(f9490,definition,
! [X0,X1] :
( sQ602_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ602_spl])],[split_symbol_definition]) ).
fof(f9493,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ602_spl ),
inference(split_clause,[status(thm)],[f9400,f9490,f169,f585]) ).
fof(f9494,definition,
! [X0,X1] :
( sQ603_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ603_spl])],[split_symbol_definition]) ).
fof(f9497,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ603_spl ),
inference(split_clause,[status(thm)],[f9401,f9494,f169,f585]) ).
fof(f9498,definition,
! [X0,X1] :
( sQ604_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ604_spl])],[split_symbol_definition]) ).
fof(f9501,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ604_spl ),
inference(split_clause,[status(thm)],[f9402,f9498,f169,f585]) ).
fof(f9502,definition,
! [X0,X1] :
( sQ605_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK6_skl(X1,X0,sK9_skl)),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ605_spl])],[split_symbol_definition]) ).
fof(f9505,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ605_spl ),
inference(split_clause,[status(thm)],[f9403,f9502,f169,f585]) ).
fof(f9506,definition,
! [X0,X1] :
( sQ606_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK9_skl,sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ606_spl])],[split_symbol_definition]) ).
fof(f9509,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ606_spl ),
inference(split_clause,[status(thm)],[f9404,f9506,f169,f585]) ).
fof(f9510,definition,
! [X0,X1] :
( sQ607_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ607_spl])],[split_symbol_definition]) ).
fof(f9513,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ607_spl ),
inference(split_clause,[status(thm)],[f9405,f9510,f169,f585]) ).
fof(f9514,definition,
! [X0,X1] :
( sQ608_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK6_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),sK9_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK5_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),X1)
| X1 = relation_composition(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ608_spl])],[split_symbol_definition]) ).
fof(f9517,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| sQ608_spl ),
inference(split_clause,[status(thm)],[f9406,f9514,f169,f585]) ).
fof(f9518,definition,
! [X0] :
( sQ609_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ609_spl])],[split_symbol_definition]) ).
fof(f9521,plain,
( sQ609_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9407,f169,f585,f9518]) ).
fof(f9522,definition,
! [X0] :
( sQ610_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK3_skl(sK2_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),sK1_skl(X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl)),relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ610_spl])],[split_symbol_definition]) ).
fof(f9525,plain,
( sQ610_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9408,f169,f585,f9522]) ).
fof(f9526,definition,
! [X0,X1,X2] :
( sQ611_spl
<=> ( ~ in(ordered_pair(X2,X1),sK9_skl)
| ~ in(ordered_pair(X0,X2),relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ611_spl])],[split_symbol_definition]) ).
fof(f9529,plain,
( sQ611_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9409,f169,f585,f9526]) ).
fof(f9533,definition,
! [X0,X1] :
( sQ612_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl)),X1),sK9_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ612_spl])],[split_symbol_definition]) ).
fof(f9536,plain,
( sQ612_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9413,f169,f585,f9533]) ).
fof(f9537,definition,
! [X0,X1] :
( sQ613_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(relation_composition(sK15_skl,sK14_skl),sK9_skl),sK9_skl,relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ613_spl])],[split_symbol_definition]) ).
fof(f9540,plain,
( sQ613_spl
| ~ sQ44_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9414,f169,f585,f9537]) ).
fof(f9717,plain,
! [X0,X1] :
( ~ sQ84_spl
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),sK5_skl(X0,relation_composition(sK8_skl,sK9_skl),X1)),X0)
| X0 = relation_composition(X1,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK5_skl(X0,sK9_skl,X1),sK6_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl) = apply(sK8_skl,sK6_skl(X0,relation_composition(sK8_skl,sK9_skl),X1)) ),
inference(paramodulation,[status(thm)],[f3343,f910]) ).
fof(f9718,plain,
! [X0,X1] :
( ~ sQ84_spl
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),sK5_skl(X0,relation_composition(sK8_skl,sK9_skl),X1)),X0)
| X0 = relation_composition(X1,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK5_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),sK6_skl(X0,sK9_skl,X1),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl) = apply(sK8_skl,sK6_skl(X0,relation_composition(sK8_skl,sK9_skl),X1)) ),
inference(paramodulation,[status(thm)],[f3343,f910]) ).
fof(f9719,plain,
! [X0,X1] :
( ~ sQ84_spl
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),sK5_skl(X0,relation_composition(sK8_skl,sK9_skl),X1)),X0)
| X0 = relation_composition(X1,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK5_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),sK6_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),sK9_skl,sK9_skl,sK8_skl) = apply(sK8_skl,sK6_skl(X0,relation_composition(sK8_skl,sK9_skl),X1)) ),
inference(paramodulation,[status(thm)],[f3343,f910]) ).
fof(f9720,definition,
! [X0,X1] :
( sQ614_spl
<=> ( in(ordered_pair(sK4_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),sK5_skl(X0,relation_composition(sK8_skl,sK9_skl),X1)),X0)
| X0 = relation_composition(X1,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK5_skl(X0,sK9_skl,X1),sK6_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl) = apply(sK8_skl,sK6_skl(X0,relation_composition(sK8_skl,sK9_skl),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ614_spl])],[split_symbol_definition]) ).
fof(f9723,plain,
( ~ sQ84_spl
| ~ sQ44_spl
| sQ614_spl ),
inference(split_clause,[status(thm)],[f9717,f9720,f585,f909]) ).
fof(f9724,definition,
! [X0,X1] :
( sQ615_spl
<=> ( in(ordered_pair(sK4_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),sK5_skl(X0,relation_composition(sK8_skl,sK9_skl),X1)),X0)
| X0 = relation_composition(X1,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK5_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),sK6_skl(X0,sK9_skl,X1),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl) = apply(sK8_skl,sK6_skl(X0,relation_composition(sK8_skl,sK9_skl),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ615_spl])],[split_symbol_definition]) ).
fof(f9727,plain,
( ~ sQ84_spl
| ~ sQ44_spl
| sQ615_spl ),
inference(split_clause,[status(thm)],[f9718,f9724,f585,f909]) ).
fof(f9728,definition,
! [X0,X1] :
( sQ616_spl
<=> ( in(ordered_pair(sK4_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),sK5_skl(X0,relation_composition(sK8_skl,sK9_skl),X1)),X0)
| X0 = relation_composition(X1,relation_composition(sK8_skl,sK9_skl))
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK5_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),sK6_skl(X0,relation_composition(sK8_skl,sK9_skl),X1),sK9_skl,sK9_skl,sK8_skl) = apply(sK8_skl,sK6_skl(X0,relation_composition(sK8_skl,sK9_skl),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ616_spl])],[split_symbol_definition]) ).
fof(f9731,plain,
( ~ sQ84_spl
| ~ sQ44_spl
| sQ616_spl ),
inference(split_clause,[status(thm)],[f9719,f9728,f585,f909]) ).
fof(f9750,plain,
! [X0,X1] :
( ~ sQ86_spl
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X0,X1,relation_composition(sK8_skl,sK9_skl))),X0)
| X0 = relation_composition(relation_composition(sK8_skl,sK9_skl),X1)
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK6_skl(X0,X1,sK9_skl),sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl))) ),
inference(paramodulation,[status(thm)],[f3343,f918]) ).
fof(f9751,plain,
! [X0,X1] :
( ~ sQ86_spl
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X0,X1,relation_composition(sK8_skl,sK9_skl))),X0)
| X0 = relation_composition(relation_composition(sK8_skl,sK9_skl),X1)
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK6_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X0,X1,sK9_skl),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl))) ),
inference(paramodulation,[status(thm)],[f3343,f918]) ).
fof(f9752,plain,
! [X0,X1] :
( ~ sQ86_spl
| ~ relation(sK9_skl)
| in(ordered_pair(sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X0,X1,relation_composition(sK8_skl,sK9_skl))),X0)
| X0 = relation_composition(relation_composition(sK8_skl,sK9_skl),X1)
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK6_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),sK9_skl,sK9_skl,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl))) ),
inference(paramodulation,[status(thm)],[f3343,f918]) ).
fof(f9753,definition,
! [X0,X1] :
( sQ617_spl
<=> ( in(ordered_pair(sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X0,X1,relation_composition(sK8_skl,sK9_skl))),X0)
| X0 = relation_composition(relation_composition(sK8_skl,sK9_skl),X1)
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK6_skl(X0,X1,sK9_skl),sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ617_spl])],[split_symbol_definition]) ).
fof(f9756,plain,
( ~ sQ86_spl
| ~ sQ44_spl
| sQ617_spl ),
inference(split_clause,[status(thm)],[f9750,f9753,f585,f917]) ).
fof(f9757,definition,
! [X0,X1] :
( sQ618_spl
<=> ( in(ordered_pair(sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X0,X1,relation_composition(sK8_skl,sK9_skl))),X0)
| X0 = relation_composition(relation_composition(sK8_skl,sK9_skl),X1)
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK6_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X0,X1,sK9_skl),relation_composition(sK8_skl,sK9_skl),sK9_skl,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ618_spl])],[split_symbol_definition]) ).
fof(f9760,plain,
( ~ sQ86_spl
| ~ sQ44_spl
| sQ618_spl ),
inference(split_clause,[status(thm)],[f9751,f9757,f585,f917]) ).
fof(f9761,definition,
! [X0,X1] :
( sQ619_spl
<=> ( in(ordered_pair(sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),sK5_skl(X0,X1,relation_composition(sK8_skl,sK9_skl))),X0)
| X0 = relation_composition(relation_composition(sK8_skl,sK9_skl),X1)
| ~ relation(X0)
| ~ relation(X1)
| sK3_skl(sK6_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl)),sK9_skl,sK9_skl,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,relation_composition(sK8_skl,sK9_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ619_spl])],[split_symbol_definition]) ).
fof(f9764,plain,
( ~ sQ86_spl
| ~ sQ44_spl
| sQ619_spl ),
inference(split_clause,[status(thm)],[f9752,f9761,f585,f917]) ).
fof(f9783,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ in(ordered_pair(X2,sK5_skl(X0,X1,sK8_skl)),X1)
| ~ in(ordered_pair(sK4_skl(X0,X1,sK8_skl),X2),sK8_skl)
| X0 = relation_composition(sK8_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| ~ relation(sK8_skl)
| X0 = relation_composition(sK8_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| sK6_skl(X0,X1,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,sK8_skl)) ),
inference(resolution,[status(thm)],[f922,f72]) ).
fof(f9784,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ87_spl
| sK5_skl(sK8_skl,X0,sK8_skl) = apply(sK8_skl,sK4_skl(sK8_skl,X0,sK8_skl))
| sK8_skl = relation_composition(sK8_skl,X0)
| ~ relation(sK8_skl)
| ~ relation(X0)
| sK6_skl(sK8_skl,X0,sK8_skl) = apply(sK8_skl,sK4_skl(sK8_skl,X0,sK8_skl)) ),
inference(resolution,[status(thm)],[f922,f298]) ).
fof(f9785,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ87_spl
| sK5_skl(sK14_skl,X0,sK8_skl) = apply(sK14_skl,sK4_skl(sK14_skl,X0,sK8_skl))
| sK14_skl = relation_composition(sK8_skl,X0)
| ~ relation(sK14_skl)
| ~ relation(X0)
| sK6_skl(sK14_skl,X0,sK8_skl) = apply(sK8_skl,sK4_skl(sK14_skl,X0,sK8_skl)) ),
inference(resolution,[status(thm)],[f922,f307]) ).
fof(f9786,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ87_spl
| sK5_skl(sK15_skl,X0,sK8_skl) = apply(sK15_skl,sK4_skl(sK15_skl,X0,sK8_skl))
| sK15_skl = relation_composition(sK8_skl,X0)
| ~ relation(sK15_skl)
| ~ relation(X0)
| sK6_skl(sK15_skl,X0,sK8_skl) = apply(sK8_skl,sK4_skl(sK15_skl,X0,sK8_skl)) ),
inference(resolution,[status(thm)],[f922,f303]) ).
fof(f9790,plain,
! [X0] :
( ~ sQ87_spl
| sK9_skl = relation_composition(sK8_skl,X0)
| ~ relation(sK9_skl)
| ~ relation(X0)
| sK6_skl(sK9_skl,X0,sK8_skl) = apply(sK8_skl,sK4_skl(sK9_skl,X0,sK8_skl)) ),
inference(resolution,[status(thm)],[f922,f711]) ).
fof(f9794,definition,
! [X0,X1,X2] :
( sQ620_spl
<=> ( ~ in(ordered_pair(X2,sK5_skl(X0,X1,sK8_skl)),X1)
| ~ in(ordered_pair(sK4_skl(X0,X1,sK8_skl),X2),sK8_skl)
| X0 = relation_composition(sK8_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| X0 = relation_composition(sK8_skl,X1)
| ~ relation(X0)
| ~ relation(X1)
| sK6_skl(X0,X1,sK8_skl) = apply(sK8_skl,sK4_skl(X0,X1,sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ620_spl])],[split_symbol_definition]) ).
fof(f9797,plain,
( ~ sQ87_spl
| ~ sQ17_spl
| sQ620_spl ),
inference(split_clause,[status(thm)],[f9783,f9794,f294,f921]) ).
fof(f9798,definition,
! [X0] :
( sQ621_spl
<=> ( sK5_skl(sK8_skl,X0,sK8_skl) = apply(sK8_skl,sK4_skl(sK8_skl,X0,sK8_skl))
| sK8_skl = relation_composition(sK8_skl,X0)
| ~ relation(X0)
| sK6_skl(sK8_skl,X0,sK8_skl) = apply(sK8_skl,sK4_skl(sK8_skl,X0,sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ621_spl])],[split_symbol_definition]) ).
fof(f9801,plain,
( ~ sQ18_spl
| ~ sQ87_spl
| ~ sQ17_spl
| sQ621_spl ),
inference(split_clause,[status(thm)],[f9784,f9798,f294,f921,f297]) ).
fof(f9802,definition,
! [X0] :
( sQ622_spl
<=> ( sK5_skl(sK14_skl,X0,sK8_skl) = apply(sK14_skl,sK4_skl(sK14_skl,X0,sK8_skl))
| sK14_skl = relation_composition(sK8_skl,X0)
| ~ relation(X0)
| sK6_skl(sK14_skl,X0,sK8_skl) = apply(sK8_skl,sK4_skl(sK14_skl,X0,sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ622_spl])],[split_symbol_definition]) ).
fof(f9805,plain,
( ~ sQ20_spl
| ~ sQ87_spl
| ~ sQ9_spl
| sQ622_spl ),
inference(split_clause,[status(thm)],[f9785,f9802,f221,f921,f306]) ).
fof(f9806,definition,
! [X0] :
( sQ623_spl
<=> ( sK5_skl(sK15_skl,X0,sK8_skl) = apply(sK15_skl,sK4_skl(sK15_skl,X0,sK8_skl))
| sK15_skl = relation_composition(sK8_skl,X0)
| ~ relation(X0)
| sK6_skl(sK15_skl,X0,sK8_skl) = apply(sK8_skl,sK4_skl(sK15_skl,X0,sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ623_spl])],[split_symbol_definition]) ).
fof(f9809,plain,
( ~ sQ19_spl
| ~ sQ87_spl
| ~ sQ8_spl
| sQ623_spl ),
inference(split_clause,[status(thm)],[f9786,f9806,f217,f921,f302]) ).
fof(f9813,definition,
! [X0] :
( sQ624_spl
<=> ( sK9_skl = relation_composition(sK8_skl,X0)
| ~ relation(X0)
| sK6_skl(sK9_skl,X0,sK8_skl) = apply(sK8_skl,sK4_skl(sK9_skl,X0,sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ624_spl])],[split_symbol_definition]) ).
fof(f9816,plain,
( ~ sQ87_spl
| ~ sQ44_spl
| sQ624_spl ),
inference(split_clause,[status(thm)],[f9790,f9813,f585,f921]) ).
fof(f10068,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(ordered_pair(sK3_skl(X3,X1,relation_composition(X0,relation_dom(sK9_skl)),relation_dom(sK9_skl),X0),X3),sK0_skl(ordered_pair(sK3_skl(X3,X1,relation_composition(X0,relation_dom(sK9_skl)),relation_dom(sK9_skl),X0),X3),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ in(ordered_pair(X2,X3),relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(sK9_skl)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f945]) ).
fof(f10069,definition,
! [X0,X1,X2,X3] :
( sQ625_spl
<=> ( in(ordered_pair(ordered_pair(sK3_skl(X3,X1,relation_composition(X0,relation_dom(sK9_skl)),relation_dom(sK9_skl),X0),X3),sK0_skl(ordered_pair(sK3_skl(X3,X1,relation_composition(X0,relation_dom(sK9_skl)),relation_dom(sK9_skl),X0),X3),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X2,X3),relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ625_spl])],[split_symbol_definition]) ).
fof(f10072,plain,
( ~ sQ44_spl
| sQ625_spl ),
inference(split_clause,[status(thm)],[f10068,f10069,f585]) ).
fof(f10080,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ133_spl
| ~ relation(sK9_skl)
| apply(relation_composition(sK9_skl,sK15_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK9_skl,sK15_skl))) ),
inference(resolution,[status(thm)],[f1406,f596]) ).
fof(f10081,plain,
! [X0] :
( ~ sQ133_spl
| ~ relation(sK8_skl)
| apply(relation_composition(sK8_skl,sK15_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK8_skl,sK15_skl))) ),
inference(resolution,[status(thm)],[f1406,f104]) ).
fof(f10083,plain,
! [X0] :
( ~ sQ133_spl
| ~ relation(sK15_skl)
| apply(relation_composition(sK15_skl,sK15_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK15_skl,sK15_skl))) ),
inference(resolution,[status(thm)],[f1406,f127]) ).
fof(f10084,plain,
! [X0] :
( ~ sQ133_spl
| ~ relation(sK14_skl)
| apply(relation_composition(sK14_skl,sK15_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK14_skl,sK15_skl))) ),
inference(resolution,[status(thm)],[f1406,f125]) ).
fof(f10086,definition,
! [X0] :
( sQ626_spl
<=> ( apply(relation_composition(sK9_skl,sK15_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK9_skl,sK15_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ626_spl])],[split_symbol_definition]) ).
fof(f10089,plain,
( ~ sQ47_spl
| ~ sQ133_spl
| ~ sQ44_spl
| sQ626_spl ),
inference(split_clause,[status(thm)],[f10080,f10086,f585,f1405,f595]) ).
fof(f10090,definition,
! [X0] :
( sQ627_spl
<=> ( apply(relation_composition(sK8_skl,sK15_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK8_skl,sK15_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ627_spl])],[split_symbol_definition]) ).
fof(f10093,plain,
( ~ sQ133_spl
| ~ sQ17_spl
| sQ627_spl ),
inference(split_clause,[status(thm)],[f10081,f10090,f294,f1405]) ).
fof(f10095,definition,
! [X0] :
( sQ628_spl
<=> ( apply(relation_composition(sK15_skl,sK15_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK15_skl,sK15_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ628_spl])],[split_symbol_definition]) ).
fof(f10098,plain,
( ~ sQ133_spl
| ~ sQ8_spl
| sQ628_spl ),
inference(split_clause,[status(thm)],[f10083,f10095,f217,f1405]) ).
fof(f10099,definition,
! [X0] :
( sQ629_spl
<=> ( apply(relation_composition(sK14_skl,sK15_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK14_skl,sK15_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ629_spl])],[split_symbol_definition]) ).
fof(f10102,plain,
( ~ sQ133_spl
| ~ sQ9_spl
| sQ629_spl ),
inference(split_clause,[status(thm)],[f10084,f10099,f221,f1405]) ).
fof(f10107,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ134_spl
| ~ relation(sK9_skl)
| apply(relation_composition(sK9_skl,sK14_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK9_skl,sK14_skl))) ),
inference(resolution,[status(thm)],[f1410,f596]) ).
fof(f10108,plain,
! [X0] :
( ~ sQ134_spl
| ~ relation(sK8_skl)
| apply(relation_composition(sK8_skl,sK14_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK8_skl,sK14_skl))) ),
inference(resolution,[status(thm)],[f1410,f104]) ).
fof(f10110,plain,
! [X0] :
( ~ sQ134_spl
| ~ relation(sK15_skl)
| apply(relation_composition(sK15_skl,sK14_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
inference(resolution,[status(thm)],[f1410,f127]) ).
fof(f10111,plain,
! [X0] :
( ~ sQ134_spl
| ~ relation(sK14_skl)
| apply(relation_composition(sK14_skl,sK14_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK14_skl,sK14_skl))) ),
inference(resolution,[status(thm)],[f1410,f125]) ).
fof(f10113,definition,
! [X0] :
( sQ630_spl
<=> ( apply(relation_composition(sK9_skl,sK14_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK9_skl,sK14_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ630_spl])],[split_symbol_definition]) ).
fof(f10116,plain,
( ~ sQ47_spl
| ~ sQ134_spl
| ~ sQ44_spl
| sQ630_spl ),
inference(split_clause,[status(thm)],[f10107,f10113,f585,f1409,f595]) ).
fof(f10117,definition,
! [X0] :
( sQ631_spl
<=> ( apply(relation_composition(sK8_skl,sK14_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK8_skl,sK14_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ631_spl])],[split_symbol_definition]) ).
fof(f10120,plain,
( ~ sQ134_spl
| ~ sQ17_spl
| sQ631_spl ),
inference(split_clause,[status(thm)],[f10108,f10117,f294,f1409]) ).
fof(f10122,definition,
! [X0] :
( sQ632_spl
<=> ( apply(relation_composition(sK15_skl,sK14_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK15_skl,sK14_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ632_spl])],[split_symbol_definition]) ).
fof(f10125,plain,
( ~ sQ134_spl
| ~ sQ8_spl
| sQ632_spl ),
inference(split_clause,[status(thm)],[f10110,f10122,f217,f1409]) ).
fof(f10126,definition,
! [X0] :
( sQ633_spl
<=> ( apply(relation_composition(sK14_skl,sK14_skl),X0) = sK9_skl
| in(X0,relation_dom(relation_composition(sK14_skl,sK14_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ633_spl])],[split_symbol_definition]) ).
fof(f10129,plain,
( ~ sQ134_spl
| ~ sQ9_spl
| sQ633_spl ),
inference(split_clause,[status(thm)],[f10111,f10126,f221,f1409]) ).
fof(f10142,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(ordered_pair(sK3_skl(X3,X1,relation_composition(X0,relation_dom(sK9_skl)),relation_dom(sK9_skl),X0),X3),apply(sK9_skl,ordered_pair(sK3_skl(X3,X1,relation_composition(X0,relation_dom(sK9_skl)),relation_dom(sK9_skl),X0),X3))),sK9_skl)
| ~ function(sK9_skl)
| ~ relation(sK9_skl)
| ~ in(ordered_pair(X2,X3),relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(sK9_skl)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f571,f946]) ).
fof(f10143,definition,
! [X0,X1,X2,X3] :
( sQ634_spl
<=> ( in(ordered_pair(ordered_pair(sK3_skl(X3,X1,relation_composition(X0,relation_dom(sK9_skl)),relation_dom(sK9_skl),X0),X3),apply(sK9_skl,ordered_pair(sK3_skl(X3,X1,relation_composition(X0,relation_dom(sK9_skl)),relation_dom(sK9_skl),X0),X3))),sK9_skl)
| ~ in(ordered_pair(X2,X3),relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ634_spl])],[split_symbol_definition]) ).
fof(f10146,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| sQ634_spl ),
inference(split_clause,[status(thm)],[f10142,f10143,f585,f595]) ).
fof(f10383,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(ordered_pair(X1,sK3_skl(X3,X1,relation_composition(relation_dom(sK9_skl),X0),X0,relation_dom(sK9_skl))),sK0_skl(ordered_pair(X1,sK3_skl(X3,X1,relation_composition(relation_dom(sK9_skl),X0),X0,relation_dom(sK9_skl))),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ relation(sK9_skl)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),relation_dom(sK9_skl))
| ~ relation(X0)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f989]) ).
fof(f10384,definition,
! [X0,X1,X2,X3] :
( sQ635_spl
<=> ( in(ordered_pair(ordered_pair(X1,sK3_skl(X3,X1,relation_composition(relation_dom(sK9_skl),X0),X0,relation_dom(sK9_skl))),sK0_skl(ordered_pair(X1,sK3_skl(X3,X1,relation_composition(relation_dom(sK9_skl),X0),X0,relation_dom(sK9_skl))),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),relation_dom(sK9_skl))
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ635_spl])],[split_symbol_definition]) ).
fof(f10387,plain,
( sQ635_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f10383,f585,f10384]) ).
fof(f10396,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(ordered_pair(X1,sK3_skl(X3,X1,relation_composition(relation_dom(sK9_skl),X0),X0,relation_dom(sK9_skl))),apply(sK9_skl,ordered_pair(X1,sK3_skl(X3,X1,relation_composition(relation_dom(sK9_skl),X0),X0,relation_dom(sK9_skl))))),sK9_skl)
| ~ function(sK9_skl)
| ~ relation(sK9_skl)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),relation_dom(sK9_skl))
| ~ relation(X0)
| ~ relation(sK9_skl) ),
inference(paramodulation,[status(thm)],[f571,f990]) ).
fof(f10397,definition,
! [X0,X1,X2,X3] :
( sQ636_spl
<=> ( in(ordered_pair(ordered_pair(X1,sK3_skl(X3,X1,relation_composition(relation_dom(sK9_skl),X0),X0,relation_dom(sK9_skl))),apply(sK9_skl,ordered_pair(X1,sK3_skl(X3,X1,relation_composition(relation_dom(sK9_skl),X0),X0,relation_dom(sK9_skl))))),sK9_skl)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),relation_dom(sK9_skl))
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ636_spl])],[split_symbol_definition]) ).
fof(f10400,plain,
( ~ sQ47_spl
| sQ636_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f10396,f585,f10397,f595]) ).
fof(f10647,plain,
! [X0,X1,X2,X3] :
( ~ sQ74_spl
| apply(sK15_skl,ordered_pair(X1,X2)) = sK9_skl
| in(X1,relation_dom(relation_dom(relation_composition(sK15_skl,X0))))
| ~ relation(relation_dom(relation_composition(sK15_skl,X0)))
| ~ in(ordered_pair(apply(sK15_skl,ordered_pair(X1,X2)),X3),X0)
| ~ relation(X0)
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f1015,f823]) ).
fof(f10648,plain,
! [X0,X1,X2,X3] :
( ~ sQ73_spl
| apply(sK15_skl,ordered_pair(X1,X2)) = sK9_skl
| in(X1,relation_dom(relation_dom(relation_composition(sK15_skl,X0))))
| ~ relation(relation_dom(relation_composition(sK15_skl,X0)))
| ~ in(ordered_pair(sK0_skl(ordered_pair(X1,X2),relation_dom(sK15_skl),sK15_skl),X3),X0)
| ~ relation(X0)
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f1015,f819]) ).
fof(f10651,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ41_spl
| apply(sK8_skl,ordered_pair(ordered_pair(X3,X4),X1)) = sK9_skl
| in(X3,relation_dom(relation_dom(relation_composition(relation_dom(sK8_skl),X0))))
| ~ relation(relation_dom(relation_composition(relation_dom(sK8_skl),X0)))
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0)
| ~ relation(relation_dom(sK8_skl)) ),
inference(resolution,[status(thm)],[f1015,f520]) ).
fof(f10653,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ42_spl
| apply(sK15_skl,ordered_pair(ordered_pair(X3,X4),X1)) = sK9_skl
| in(X3,relation_dom(relation_dom(relation_composition(relation_dom(sK15_skl),X0))))
| ~ relation(relation_dom(relation_composition(relation_dom(sK15_skl),X0)))
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0)
| ~ relation(relation_dom(sK15_skl)) ),
inference(resolution,[status(thm)],[f1015,f525]) ).
fof(f10654,definition,
! [X0,X1,X2,X3] :
( sQ638_spl
<=> ( apply(sK15_skl,ordered_pair(X1,X2)) = sK9_skl
| in(X1,relation_dom(relation_dom(relation_composition(sK15_skl,X0))))
| ~ relation(relation_dom(relation_composition(sK15_skl,X0)))
| ~ in(ordered_pair(apply(sK15_skl,ordered_pair(X1,X2)),X3),X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ638_spl])],[split_symbol_definition]) ).
fof(f10657,plain,
( ~ sQ74_spl
| sQ638_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f10647,f217,f10654,f822]) ).
fof(f10658,definition,
! [X0,X1,X2,X3] :
( sQ639_spl
<=> ( apply(sK15_skl,ordered_pair(X1,X2)) = sK9_skl
| in(X1,relation_dom(relation_dom(relation_composition(sK15_skl,X0))))
| ~ relation(relation_dom(relation_composition(sK15_skl,X0)))
| ~ in(ordered_pair(sK0_skl(ordered_pair(X1,X2),relation_dom(sK15_skl),sK15_skl),X3),X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ639_spl])],[split_symbol_definition]) ).
fof(f10661,plain,
( ~ sQ73_spl
| sQ639_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f10648,f217,f10658,f818]) ).
fof(f10664,definition,
! [X0,X1,X2,X3,X4] :
( sQ640_spl
<=> ( apply(sK8_skl,ordered_pair(ordered_pair(X3,X4),X1)) = sK9_skl
| in(X3,relation_dom(relation_dom(relation_composition(relation_dom(sK8_skl),X0))))
| ~ relation(relation_dom(relation_composition(relation_dom(sK8_skl),X0)))
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ640_spl])],[split_symbol_definition]) ).
fof(f10667,plain,
( ~ sQ41_spl
| sQ640_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f10651,f1430,f10664,f519]) ).
fof(f10668,definition,
! [X0,X1,X2,X3,X4] :
( sQ641_spl
<=> ( apply(sK15_skl,ordered_pair(ordered_pair(X3,X4),X1)) = sK9_skl
| in(X3,relation_dom(relation_dom(relation_composition(relation_dom(sK15_skl),X0))))
| ~ relation(relation_dom(relation_composition(relation_dom(sK15_skl),X0)))
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ641_spl])],[split_symbol_definition]) ).
fof(f10671,plain,
( ~ sQ42_spl
| sQ641_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f10653,f810,f10668,f524]) ).
fof(f10731,plain,
( ~ sQ27_spl
| ~ sQ516_spl
| in(sK1_skl(relation_dom(sK15_skl),sK15_skl),relation_dom(sK15_skl))
| relation_dom(sK15_skl) = relation_dom(sK15_skl)
| sK2_skl(relation_dom(sK15_skl),sK15_skl) = sK9_skl ),
inference(paramodulation,[status(thm)],[f361,f8088]) ).
fof(f10734,definition,
( sQ642_spl
<=> sK2_skl(relation_dom(sK15_skl),sK15_skl) = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ642_spl])],[split_symbol_definition]) ).
fof(f10737,definition,
( sQ643_spl
<=> in(sK1_skl(relation_dom(sK15_skl),sK15_skl),relation_dom(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ643_spl])],[split_symbol_definition]) ).
fof(f10740,plain,
( ~ sQ27_spl
| ~ sQ516_spl
| sQ643_spl
| sQ517_spl
| sQ642_spl ),
inference(split_clause,[status(thm)],[f10731,f10734,f8090,f10737,f8087,f360]) ).
fof(f10757,plain,
( sQ208_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2004,f125]) ).
fof(f10758,plain,
sQ208_spl,
inference(contradiction_clause,[status(thm)],[f10757]) ).
fof(f10760,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ11_spl
| in(apply(sK15_skl,sK16_skl),relation_dom(sK14_skl)) ),
inference(backward_demodulation,[status(thm)],[f451,f383]) ).
fof(f10767,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ11_spl
| sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10760,f150]) ).
fof(f10768,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ11_spl
| sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f10767]) ).
fof(f10769,plain,
! [X0,X1] :
( sQ0_spl
| ~ in(ordered_pair(X0,X1),sK14_skl)
| ~ in(ordered_pair(sK16_skl,X0),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f143,f321]) ).
fof(f10770,definition,
! [X0,X1] :
( sQ647_spl
<=> ( ~ in(ordered_pair(X0,X1),sK14_skl)
| ~ in(ordered_pair(sK16_skl,X0),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ647_spl])],[split_symbol_definition]) ).
fof(f10771,plain,
! [X0,X1] :
( ~ sQ647_spl
| ~ in(ordered_pair(X0,X1),sK14_skl)
| ~ in(ordered_pair(sK16_skl,X0),sK15_skl) ),
inference(component_clause,[status(thm)],[f10770]) ).
fof(f10773,plain,
( sQ0_spl
| sQ647_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f10769,f217,f221,f10770,f141]) ).
fof(f10775,plain,
( ~ sQ2_spl
| in(ordered_pair(apply(sK15_skl,sK16_skl),apply(sK14_skl,apply(sK15_skl,sK16_skl))),sK14_skl)
| ~ function(sK14_skl)
| ~ relation(sK14_skl) ),
inference(resolution,[status(thm)],[f149,f153]) ).
fof(f10781,definition,
( sQ649_spl
<=> in(ordered_pair(apply(sK15_skl,sK16_skl),apply(sK14_skl,apply(sK15_skl,sK16_skl))),sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ649_spl])],[split_symbol_definition]) ).
fof(f10782,plain,
( ~ sQ649_spl
| in(ordered_pair(apply(sK15_skl,sK16_skl),apply(sK14_skl,apply(sK15_skl,sK16_skl))),sK14_skl) ),
inference(component_clause,[status(thm)],[f10781]) ).
fof(f10784,plain,
( ~ sQ2_spl
| sQ649_spl
| ~ sQ208_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f10775,f221,f2002,f10781,f148]) ).
fof(f10808,plain,
! [X0] :
( ~ empty(sK9_skl)
| ~ relation(sK9_skl)
| apply(sK9_skl,X0) = sK9_skl ),
inference(paramodulation,[status(thm)],[f571,f1419]) ).
fof(f10809,definition,
! [X0] :
( sQ652_spl
<=> apply(sK9_skl,X0) = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ652_spl])],[split_symbol_definition]) ).
fof(f10812,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| sQ652_spl ),
inference(split_clause,[status(thm)],[f10808,f10809,f585,f611]) ).
fof(f10827,plain,
( in(ordered_pair(sK7_skl(relation_dom(sK11_skl)),sK0_skl(sK7_skl(relation_dom(sK11_skl)),relation_dom(sK11_skl),sK11_skl)),sK11_skl)
| empty(relation_dom(sK11_skl)) ),
inference(resolution,[status(thm)],[f1029,f112]) ).
fof(f10828,plain,
( in(ordered_pair(sK7_skl(relation_dom(sK9_skl)),sK0_skl(sK7_skl(relation_dom(sK9_skl)),relation_dom(sK9_skl),sK9_skl)),sK9_skl)
| empty(relation_dom(sK9_skl)) ),
inference(resolution,[status(thm)],[f1029,f107]) ).
fof(f10829,plain,
( in(ordered_pair(sK7_skl(relation_dom(sK8_skl)),sK0_skl(sK7_skl(relation_dom(sK8_skl)),relation_dom(sK8_skl),sK8_skl)),sK8_skl)
| empty(relation_dom(sK8_skl)) ),
inference(resolution,[status(thm)],[f1029,f103]) ).
fof(f10830,plain,
( ~ sQ3_spl
| in(ordered_pair(sK7_skl(relation_dom(relation_composition(sK15_skl,sK14_skl))),sK0_skl(sK7_skl(relation_dom(relation_composition(sK15_skl,sK14_skl))),relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl))
| empty(relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
inference(resolution,[status(thm)],[f1029,f170]) ).
fof(f10835,plain,
( in(ordered_pair(sK7_skl(relation_dom(sK15_skl)),sK0_skl(sK7_skl(relation_dom(sK15_skl)),relation_dom(sK15_skl),sK15_skl)),sK15_skl)
| empty(relation_dom(sK15_skl)) ),
inference(resolution,[status(thm)],[f1029,f126]) ).
fof(f10836,plain,
( in(ordered_pair(sK7_skl(relation_dom(sK14_skl)),sK0_skl(sK7_skl(relation_dom(sK14_skl)),relation_dom(sK14_skl),sK14_skl)),sK14_skl)
| empty(relation_dom(sK14_skl)) ),
inference(resolution,[status(thm)],[f1029,f124]) ).
fof(f10845,definition,
( sQ656_spl
<=> in(ordered_pair(sK7_skl(relation_dom(sK11_skl)),sK0_skl(sK7_skl(relation_dom(sK11_skl)),relation_dom(sK11_skl),sK11_skl)),sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ656_spl])],[split_symbol_definition]) ).
fof(f10848,plain,
( sQ656_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f10827,f335,f10845]) ).
fof(f10849,definition,
( sQ657_spl
<=> empty(relation_dom(sK9_skl)) ),
introduced(definition,[new_symbols(definition,[sQ657_spl])],[split_symbol_definition]) ).
fof(f10852,definition,
( sQ658_spl
<=> in(ordered_pair(sK7_skl(relation_dom(sK9_skl)),sK0_skl(sK7_skl(relation_dom(sK9_skl)),relation_dom(sK9_skl),sK9_skl)),sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ658_spl])],[split_symbol_definition]) ).
fof(f10855,plain,
( sQ658_spl
| sQ657_spl ),
inference(split_clause,[status(thm)],[f10828,f10849,f10852]) ).
fof(f10856,definition,
( sQ659_spl
<=> in(ordered_pair(sK7_skl(relation_dom(sK8_skl)),sK0_skl(sK7_skl(relation_dom(sK8_skl)),relation_dom(sK8_skl),sK8_skl)),sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ659_spl])],[split_symbol_definition]) ).
fof(f10859,plain,
( sQ659_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f10829,f1761,f10856]) ).
fof(f10860,definition,
( sQ660_spl
<=> empty(relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
introduced(definition,[new_symbols(definition,[sQ660_spl])],[split_symbol_definition]) ).
fof(f10861,plain,
( ~ sQ660_spl
| empty(relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
inference(component_clause,[status(thm)],[f10860]) ).
fof(f10862,plain,
( sQ660_spl
| ~ empty(relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
inference(component_clause,[status(thm)],[f10860]) ).
fof(f10863,definition,
( sQ661_spl
<=> in(ordered_pair(sK7_skl(relation_dom(relation_composition(sK15_skl,sK14_skl))),sK0_skl(sK7_skl(relation_dom(relation_composition(sK15_skl,sK14_skl))),relation_dom(relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl))),relation_composition(sK15_skl,sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ661_spl])],[split_symbol_definition]) ).
fof(f10866,plain,
( ~ sQ3_spl
| sQ661_spl
| sQ660_spl ),
inference(split_clause,[status(thm)],[f10830,f10860,f10863,f169]) ).
fof(f10870,definition,
( sQ662_spl
<=> in(ordered_pair(sK7_skl(relation_dom(sK15_skl)),sK0_skl(sK7_skl(relation_dom(sK15_skl)),relation_dom(sK15_skl),sK15_skl)),sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ662_spl])],[split_symbol_definition]) ).
fof(f10873,plain,
( sQ662_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f10835,f836,f10870]) ).
fof(f10874,definition,
( sQ663_spl
<=> in(ordered_pair(sK7_skl(relation_dom(sK14_skl)),sK0_skl(sK7_skl(relation_dom(sK14_skl)),relation_dom(sK14_skl),sK14_skl)),sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ663_spl])],[split_symbol_definition]) ).
fof(f10877,plain,
( sQ663_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f10836,f261,f10874]) ).
fof(f10879,plain,
( ~ sQ47_spl
| in(ordered_pair(sK7_skl(relation_dom(sK9_skl)),apply(sK9_skl,sK7_skl(relation_dom(sK9_skl)))),sK9_skl)
| ~ relation(sK9_skl)
| empty(relation_dom(sK9_skl)) ),
inference(resolution,[status(thm)],[f1030,f596]) ).
fof(f10880,plain,
( in(ordered_pair(sK7_skl(relation_dom(sK8_skl)),apply(sK8_skl,sK7_skl(relation_dom(sK8_skl)))),sK8_skl)
| ~ relation(sK8_skl)
| empty(relation_dom(sK8_skl)) ),
inference(resolution,[status(thm)],[f1030,f104]) ).
fof(f10882,plain,
( in(ordered_pair(sK7_skl(relation_dom(sK15_skl)),apply(sK15_skl,sK7_skl(relation_dom(sK15_skl)))),sK15_skl)
| ~ relation(sK15_skl)
| empty(relation_dom(sK15_skl)) ),
inference(resolution,[status(thm)],[f1030,f127]) ).
fof(f10883,plain,
( in(ordered_pair(sK7_skl(relation_dom(sK14_skl)),apply(sK14_skl,sK7_skl(relation_dom(sK14_skl)))),sK14_skl)
| ~ relation(sK14_skl)
| empty(relation_dom(sK14_skl)) ),
inference(resolution,[status(thm)],[f1030,f125]) ).
fof(f10885,definition,
( sQ664_spl
<=> in(ordered_pair(sK7_skl(relation_dom(sK9_skl)),apply(sK9_skl,sK7_skl(relation_dom(sK9_skl)))),sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ664_spl])],[split_symbol_definition]) ).
fof(f10888,plain,
( ~ sQ47_spl
| sQ664_spl
| ~ sQ44_spl
| sQ657_spl ),
inference(split_clause,[status(thm)],[f10879,f10849,f585,f10885,f595]) ).
fof(f10889,definition,
( sQ665_spl
<=> in(ordered_pair(sK7_skl(relation_dom(sK8_skl)),apply(sK8_skl,sK7_skl(relation_dom(sK8_skl)))),sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ665_spl])],[split_symbol_definition]) ).
fof(f10892,plain,
( sQ665_spl
| ~ sQ17_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f10880,f1761,f294,f10889]) ).
fof(f10894,definition,
( sQ666_spl
<=> in(ordered_pair(sK7_skl(relation_dom(sK15_skl)),apply(sK15_skl,sK7_skl(relation_dom(sK15_skl)))),sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ666_spl])],[split_symbol_definition]) ).
fof(f10897,plain,
( sQ666_spl
| ~ sQ8_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f10882,f836,f217,f10894]) ).
fof(f10898,definition,
( sQ667_spl
<=> in(ordered_pair(sK7_skl(relation_dom(sK14_skl)),apply(sK14_skl,sK7_skl(relation_dom(sK14_skl)))),sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ667_spl])],[split_symbol_definition]) ).
fof(f10901,plain,
( sQ667_spl
| ~ sQ9_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f10883,f261,f221,f10898]) ).
fof(f10912,plain,
! [X0] :
( ~ sQ660_spl
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ relation(X0)
| relation_composition(relation_composition(sK15_skl,sK14_skl),X0) = sK9_skl ),
inference(resolution,[status(thm)],[f10861,f1026]) ).
fof(f10913,plain,
! [X0] :
( ~ sQ660_spl
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| apply(relation_composition(sK15_skl,sK14_skl),X0) = sK9_skl ),
inference(resolution,[status(thm)],[f10861,f1419]) ).
fof(f10914,plain,
! [X0,X1] :
( ~ sQ660_spl
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,relation_dom(relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_dom(relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_dom(relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f10861,f9319]) ).
fof(f10915,plain,
! [X0,X1] :
( ~ sQ660_spl
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK4_skl(X1,X0,relation_dom(relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_dom(relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_dom(relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f10861,f9314]) ).
fof(f10916,plain,
! [X0] :
( ~ sQ660_spl
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| in(sK1_skl(X0,relation_dom(relation_composition(sK15_skl,sK14_skl))),X0)
| X0 = relation_dom(relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
inference(resolution,[status(thm)],[f10861,f6381]) ).
fof(f10917,plain,
! [X0] :
( ~ sQ660_spl
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| X0 = relation_composition(sK15_skl,sK14_skl)
| ~ empty(X0) ),
inference(resolution,[status(thm)],[f10861,f444]) ).
fof(f10918,plain,
! [X0] :
( ~ sQ660_spl
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| ~ in(X0,relation_composition(sK15_skl,sK14_skl)) ),
inference(resolution,[status(thm)],[f10861,f438]) ).
fof(f10919,plain,
( ~ sQ660_spl
| ~ relation(relation_composition(sK15_skl,sK14_skl))
| relation_composition(sK15_skl,sK14_skl) = sK9_skl ),
inference(resolution,[status(thm)],[f10861,f1038]) ).
fof(f10963,definition,
! [X0] :
( sQ668_spl
<=> ( ~ relation(X0)
| relation_composition(relation_composition(sK15_skl,sK14_skl),X0) = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ668_spl])],[split_symbol_definition]) ).
fof(f10966,plain,
( ~ sQ660_spl
| ~ sQ3_spl
| sQ668_spl ),
inference(split_clause,[status(thm)],[f10912,f10963,f169,f10860]) ).
fof(f10967,definition,
! [X0] :
( sQ669_spl
<=> apply(relation_composition(sK15_skl,sK14_skl),X0) = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ669_spl])],[split_symbol_definition]) ).
fof(f10970,plain,
( ~ sQ660_spl
| ~ sQ3_spl
| sQ669_spl ),
inference(split_clause,[status(thm)],[f10913,f10967,f169,f10860]) ).
fof(f10971,definition,
! [X0,X1] :
( sQ670_spl
<=> ( in(ordered_pair(sK4_skl(X1,relation_dom(relation_composition(sK15_skl,sK14_skl)),X0),sK5_skl(X1,relation_dom(relation_composition(sK15_skl,sK14_skl)),X0)),X1)
| X1 = relation_composition(X0,relation_dom(relation_composition(sK15_skl,sK14_skl)))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ670_spl])],[split_symbol_definition]) ).
fof(f10974,plain,
( ~ sQ660_spl
| ~ sQ3_spl
| sQ670_spl ),
inference(split_clause,[status(thm)],[f10914,f10971,f169,f10860]) ).
fof(f10975,definition,
! [X0,X1] :
( sQ671_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_dom(relation_composition(sK15_skl,sK14_skl))),sK5_skl(X1,X0,relation_dom(relation_composition(sK15_skl,sK14_skl)))),X1)
| X1 = relation_composition(relation_dom(relation_composition(sK15_skl,sK14_skl)),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ671_spl])],[split_symbol_definition]) ).
fof(f10978,plain,
( ~ sQ660_spl
| ~ sQ3_spl
| sQ671_spl ),
inference(split_clause,[status(thm)],[f10915,f10975,f169,f10860]) ).
fof(f10979,definition,
! [X0] :
( sQ672_spl
<=> ( in(sK1_skl(X0,relation_dom(relation_composition(sK15_skl,sK14_skl))),X0)
| X0 = relation_dom(relation_dom(relation_composition(sK15_skl,sK14_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ672_spl])],[split_symbol_definition]) ).
fof(f10982,plain,
( ~ sQ660_spl
| ~ sQ3_spl
| sQ672_spl ),
inference(split_clause,[status(thm)],[f10916,f10979,f169,f10860]) ).
fof(f10983,definition,
! [X0] :
( sQ673_spl
<=> ( X0 = relation_composition(sK15_skl,sK14_skl)
| ~ empty(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ673_spl])],[split_symbol_definition]) ).
fof(f10986,plain,
( ~ sQ660_spl
| ~ sQ3_spl
| sQ673_spl ),
inference(split_clause,[status(thm)],[f10917,f10983,f169,f10860]) ).
fof(f10987,definition,
! [X0] :
( sQ674_spl
<=> ~ in(X0,relation_composition(sK15_skl,sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ674_spl])],[split_symbol_definition]) ).
fof(f10990,plain,
( ~ sQ660_spl
| ~ sQ3_spl
| sQ674_spl ),
inference(split_clause,[status(thm)],[f10918,f10987,f169,f10860]) ).
fof(f10991,definition,
( sQ675_spl
<=> relation_composition(sK15_skl,sK14_skl) = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ675_spl])],[split_symbol_definition]) ).
fof(f10992,plain,
( ~ sQ675_spl
| relation_composition(sK15_skl,sK14_skl) = sK9_skl ),
inference(component_clause,[status(thm)],[f10991]) ).
fof(f10994,plain,
( ~ sQ660_spl
| ~ sQ3_spl
| sQ675_spl ),
inference(split_clause,[status(thm)],[f10919,f10991,f169,f10860]) ).
fof(f10995,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ647_spl
| ~ in(ordered_pair(apply(sK15_skl,sK16_skl),X0),sK14_skl) ),
inference(resolution,[status(thm)],[f10771,f466]) ).
fof(f11018,plain,
! [X0,X1] :
( ~ sQ675_spl
| ~ sQ57_spl
| sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK9_skl,sK14_skl,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0))
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f668]) ).
fof(f11019,plain,
! [X0,X1] :
( ~ sQ675_spl
| ~ sQ57_spl
| sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0))
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f668]) ).
fof(f11020,plain,
! [X0,X1] :
( ~ sQ675_spl
| ~ sQ57_spl
| sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0))
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f668]) ).
fof(f11021,plain,
! [X0,X1] :
( ~ sQ675_spl
| ~ sQ40_spl
| sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK9_skl,sK14_skl,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f495]) ).
fof(f11022,plain,
! [X0,X1] :
( ~ sQ675_spl
| ~ sQ40_spl
| sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f495]) ).
fof(f11023,plain,
! [X0,X1] :
( ~ sQ675_spl
| ~ sQ40_spl
| sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)))
| ~ relation(sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f495]) ).
fof(f11024,plain,
! [X0] :
( ~ sQ675_spl
| ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK2_skl(X0,relation_composition(sK15_skl,sK14_skl))),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f398]) ).
fof(f11025,plain,
! [X0] :
( ~ sQ675_spl
| ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f392]) ).
fof(f11026,plain,
! [X0,X1] :
( ~ sQ675_spl
| ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f394]) ).
fof(f11027,plain,
! [X0,X1] :
( ~ sQ675_spl
| ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK15_skl,sK14_skl))
| X0 = relation_dom(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f394]) ).
fof(f11028,plain,
! [X0,X1,X2] :
( ~ sQ675_spl
| ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f317]) ).
fof(f11029,plain,
! [X0,X1,X2] :
( ~ sQ675_spl
| in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f321]) ).
fof(f11030,plain,
! [X0,X1,X2] :
( ~ sQ675_spl
| in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK14_skl,sK15_skl)),sK15_skl)
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f320]) ).
fof(f11031,plain,
! [X0,X1,X2] :
( ~ sQ675_spl
| in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK14_skl,sK15_skl),X2),sK14_skl)
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f319]) ).
fof(f11032,plain,
! [X0,X1,X2,X3] :
( ~ sQ675_spl
| ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK15_skl,sK14_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK15_skl,sK14_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK15_skl,sK14_skl),X0,X1)),sK14_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK15_skl,sK14_skl),X0,X1),X2),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f318]) ).
fof(f11033,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK9_skl,sK14_skl,sK15_skl)),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f252]) ).
fof(f11034,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f252]) ).
fof(f11035,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f252]) ).
fof(f11036,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f252]) ).
fof(f11037,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK5_skl(X1,sK9_skl,X0)),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f251]) ).
fof(f11038,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK9_skl,sK14_skl,sK15_skl),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f251]) ).
fof(f11039,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f251]) ).
fof(f11040,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f251]) ).
fof(f11041,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK9_skl,sK14_skl,sK15_skl)),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f209]) ).
fof(f11042,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f209]) ).
fof(f11043,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f209]) ).
fof(f11044,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f209]) ).
fof(f11045,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK6_skl(X1,X0,sK9_skl)),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f208]) ).
fof(f11046,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK9_skl,sK14_skl,sK15_skl),sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f208]) ).
fof(f11047,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f208]) ).
fof(f11048,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(paramodulation,[status(thm)],[f10992,f208]) ).
fof(f11049,plain,
! [X0] :
( ~ sQ675_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK2_skl(X0,relation_composition(sK15_skl,sK14_skl))),sK14_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f201]) ).
fof(f11050,plain,
! [X0] :
( ~ sQ675_spl
| in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f198]) ).
fof(f11051,plain,
! [X0,X1,X2] :
( ~ sQ675_spl
| ~ in(ordered_pair(X2,X1),sK14_skl)
| ~ in(ordered_pair(X0,X2),sK15_skl)
| in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f183]) ).
fof(f11055,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),X1),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f199]) ).
fof(f11056,plain,
! [X0,X1] :
( ~ sQ675_spl
| in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl)
| ~ relation(sK14_skl)
| ~ relation(sK15_skl) ),
inference(paramodulation,[status(thm)],[f10992,f196]) ).
fof(f11067,definition,
! [X0,X1] :
( sQ679_spl
<=> ( sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK9_skl,sK14_skl,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ679_spl])],[split_symbol_definition]) ).
fof(f11070,plain,
( ~ sQ675_spl
| ~ sQ57_spl
| ~ sQ9_spl
| sQ679_spl ),
inference(split_clause,[status(thm)],[f11018,f11067,f221,f667,f10991]) ).
fof(f11071,definition,
! [X0,X1] :
( sQ680_spl
<=> ( sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ680_spl])],[split_symbol_definition]) ).
fof(f11074,plain,
( ~ sQ675_spl
| ~ sQ57_spl
| ~ sQ9_spl
| sQ680_spl ),
inference(split_clause,[status(thm)],[f11019,f11071,f221,f667,f10991]) ).
fof(f11075,definition,
! [X0,X1] :
( sQ681_spl
<=> ( sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl) = apply(sK15_skl,sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0))
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ681_spl])],[split_symbol_definition]) ).
fof(f11078,plain,
( ~ sQ675_spl
| ~ sQ57_spl
| ~ sQ9_spl
| sQ681_spl ),
inference(split_clause,[status(thm)],[f11020,f11075,f221,f667,f10991]) ).
fof(f11079,definition,
! [X0,X1] :
( sQ682_spl
<=> ( sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK9_skl,sK14_skl,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ682_spl])],[split_symbol_definition]) ).
fof(f11082,plain,
( ~ sQ675_spl
| ~ sQ40_spl
| ~ sQ9_spl
| sQ682_spl ),
inference(split_clause,[status(thm)],[f11021,f11079,f221,f494,f10991]) ).
fof(f11083,definition,
! [X0,X1] :
( sQ683_spl
<=> ( sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ683_spl])],[split_symbol_definition]) ).
fof(f11086,plain,
( ~ sQ675_spl
| ~ sQ40_spl
| ~ sQ9_spl
| sQ683_spl ),
inference(split_clause,[status(thm)],[f11022,f11083,f221,f494,f10991]) ).
fof(f11087,definition,
! [X0,X1] :
( sQ684_spl
<=> ( sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl) = apply(sK15_skl,sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)))
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ684_spl])],[split_symbol_definition]) ).
fof(f11090,plain,
( ~ sQ675_spl
| ~ sQ40_spl
| ~ sQ9_spl
| sQ684_spl ),
inference(split_clause,[status(thm)],[f11023,f11087,f221,f494,f10991]) ).
fof(f11091,definition,
! [X0] :
( sQ685_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK2_skl(X0,relation_composition(sK15_skl,sK14_skl))),sK14_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ685_spl])],[split_symbol_definition]) ).
fof(f11094,plain,
( ~ sQ675_spl
| sQ685_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11024,f217,f221,f11091,f10991]) ).
fof(f11095,definition,
! [X0] :
( sQ686_spl
<=> ( ~ in(X0,sK1_skl(X0,sK9_skl))
| X0 = relation_dom(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ686_spl])],[split_symbol_definition]) ).
fof(f11098,plain,
( ~ sQ675_spl
| sQ686_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11025,f217,f221,f11095,f10991]) ).
fof(f11099,definition,
! [X0,X1] :
( sQ687_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),X1),sK9_skl)
| X0 = relation_dom(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ687_spl])],[split_symbol_definition]) ).
fof(f11102,plain,
( ~ sQ675_spl
| sQ687_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11026,f217,f221,f11099,f10991]) ).
fof(f11103,definition,
! [X0,X1] :
( sQ688_spl
<=> ( ~ in(ordered_pair(sK1_skl(X0,sK9_skl),X1),relation_composition(sK15_skl,sK14_skl))
| X0 = relation_dom(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ688_spl])],[split_symbol_definition]) ).
fof(f11106,plain,
( ~ sQ675_spl
| sQ688_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11027,f217,f221,f11103,f10991]) ).
fof(f11107,definition,
! [X0,X1,X2] :
( sQ689_spl
<=> ( ~ in(sK9_skl,ordered_pair(X0,X2))
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ689_spl])],[split_symbol_definition]) ).
fof(f11110,plain,
( ~ sQ675_spl
| sQ689_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11028,f217,f221,f11107,f10991]) ).
fof(f11111,definition,
! [X0,X1,X2] :
( sQ690_spl
<=> ( in(X0,relation_dom(sK9_skl))
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ690_spl])],[split_symbol_definition]) ).
fof(f11114,plain,
( ~ sQ675_spl
| sQ690_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11029,f217,f221,f11111,f10991]) ).
fof(f11115,definition,
! [X0,X1,X2] :
( sQ691_spl
<=> ( in(ordered_pair(X0,sK3_skl(X2,X0,sK9_skl,sK14_skl,sK15_skl)),sK15_skl)
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ691_spl])],[split_symbol_definition]) ).
fof(f11118,plain,
( ~ sQ675_spl
| sQ691_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11030,f217,f221,f11115,f10991]) ).
fof(f11119,definition,
! [X0,X1,X2] :
( sQ692_spl
<=> ( in(ordered_pair(sK3_skl(X2,X0,sK9_skl,sK14_skl,sK15_skl),X2),sK14_skl)
| ~ in(ordered_pair(X1,X2),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ692_spl])],[split_symbol_definition]) ).
fof(f11122,plain,
( ~ sQ675_spl
| sQ692_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11031,f217,f221,f11119,f10991]) ).
fof(f11123,definition,
! [X0,X1,X2,X3] :
( sQ693_spl
<=> ( ~ in(ordered_pair(X3,sK5_skl(relation_composition(sK15_skl,sK14_skl),X0,X1)),X0)
| ~ in(ordered_pair(sK4_skl(sK9_skl,X0,X1),X3),X1)
| relation_composition(sK15_skl,sK14_skl) = relation_composition(X1,X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ in(ordered_pair(X2,sK5_skl(relation_composition(sK15_skl,sK14_skl),X0,X1)),sK14_skl)
| ~ in(ordered_pair(sK4_skl(relation_composition(sK15_skl,sK14_skl),X0,X1),X2),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ693_spl])],[split_symbol_definition]) ).
fof(f11126,plain,
( ~ sQ675_spl
| sQ693_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11032,f217,f221,f11123,f10991]) ).
fof(f11127,definition,
! [X0,X1] :
( sQ694_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK9_skl,sK14_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ694_spl])],[split_symbol_definition]) ).
fof(f11130,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ694_spl ),
inference(split_clause,[status(thm)],[f11033,f11127,f217,f221,f10991]) ).
fof(f11131,definition,
! [X0,X1] :
( sQ695_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ695_spl])],[split_symbol_definition]) ).
fof(f11134,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ695_spl ),
inference(split_clause,[status(thm)],[f11034,f11131,f217,f221,f10991]) ).
fof(f11135,definition,
! [X0,X1] :
( sQ696_spl
<=> ( in(ordered_pair(sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ696_spl])],[split_symbol_definition]) ).
fof(f11138,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ696_spl ),
inference(split_clause,[status(thm)],[f11035,f11135,f217,f221,f10991]) ).
fof(f11139,definition,
! [X0,X1] :
( sQ697_spl
<=> ( in(ordered_pair(sK6_skl(X1,sK9_skl,X0),sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ697_spl])],[split_symbol_definition]) ).
fof(f11142,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ697_spl ),
inference(split_clause,[status(thm)],[f11036,f11139,f217,f221,f10991]) ).
fof(f11143,definition,
! [X0,X1] :
( sQ698_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK5_skl(X1,sK9_skl,X0)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ698_spl])],[split_symbol_definition]) ).
fof(f11146,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ698_spl ),
inference(split_clause,[status(thm)],[f11037,f11143,f217,f221,f10991]) ).
fof(f11147,definition,
! [X0,X1] :
( sQ699_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK9_skl,sK14_skl,sK15_skl),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ699_spl])],[split_symbol_definition]) ).
fof(f11150,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ699_spl ),
inference(split_clause,[status(thm)],[f11038,f11147,f217,f221,f10991]) ).
fof(f11151,definition,
! [X0,X1] :
( sQ700_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK6_skl(X1,sK9_skl,X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ700_spl])],[split_symbol_definition]) ).
fof(f11154,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ700_spl ),
inference(split_clause,[status(thm)],[f11039,f11151,f217,f221,f10991]) ).
fof(f11155,definition,
! [X0,X1] :
( sQ701_spl
<=> ( in(ordered_pair(sK3_skl(sK5_skl(X1,sK9_skl,X0),sK6_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,relation_composition(sK15_skl,sK14_skl),X0),sK5_skl(X1,relation_composition(sK15_skl,sK14_skl),X0)),X1)
| X1 = relation_composition(X0,relation_composition(sK15_skl,sK14_skl))
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ701_spl])],[split_symbol_definition]) ).
fof(f11158,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ701_spl ),
inference(split_clause,[status(thm)],[f11040,f11155,f217,f221,f10991]) ).
fof(f11159,definition,
! [X0,X1] :
( sQ702_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK9_skl,sK14_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ702_spl])],[split_symbol_definition]) ).
fof(f11162,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ702_spl ),
inference(split_clause,[status(thm)],[f11041,f11159,f217,f221,f10991]) ).
fof(f11163,definition,
! [X0,X1] :
( sQ703_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ703_spl])],[split_symbol_definition]) ).
fof(f11166,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ703_spl ),
inference(split_clause,[status(thm)],[f11042,f11163,f217,f221,f10991]) ).
fof(f11167,definition,
! [X0,X1] :
( sQ704_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ704_spl])],[split_symbol_definition]) ).
fof(f11170,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ704_spl ),
inference(split_clause,[status(thm)],[f11043,f11167,f217,f221,f10991]) ).
fof(f11171,definition,
! [X0,X1] :
( sQ705_spl
<=> ( in(ordered_pair(sK4_skl(X1,X0,sK9_skl),sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ705_spl])],[split_symbol_definition]) ).
fof(f11174,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ705_spl ),
inference(split_clause,[status(thm)],[f11044,f11171,f217,f221,f10991]) ).
fof(f11175,definition,
! [X0,X1] :
( sQ706_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK6_skl(X1,X0,sK9_skl)),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ706_spl])],[split_symbol_definition]) ).
fof(f11178,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ706_spl ),
inference(split_clause,[status(thm)],[f11045,f11175,f217,f221,f10991]) ).
fof(f11179,definition,
! [X0,X1] :
( sQ707_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK9_skl,sK14_skl,sK15_skl),sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ707_spl])],[split_symbol_definition]) ).
fof(f11182,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ707_spl ),
inference(split_clause,[status(thm)],[f11046,f11179,f217,f221,f10991]) ).
fof(f11183,definition,
! [X0,X1] :
( sQ708_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK4_skl(X1,X0,sK9_skl),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ708_spl])],[split_symbol_definition]) ).
fof(f11186,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ708_spl ),
inference(split_clause,[status(thm)],[f11047,f11183,f217,f221,f10991]) ).
fof(f11187,definition,
! [X0,X1] :
( sQ709_spl
<=> ( in(ordered_pair(sK3_skl(sK6_skl(X1,X0,sK9_skl),sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK6_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),sK14_skl)
| in(ordered_pair(sK4_skl(X1,X0,relation_composition(sK15_skl,sK14_skl)),sK5_skl(X1,X0,relation_composition(sK15_skl,sK14_skl))),X1)
| X1 = relation_composition(relation_composition(sK15_skl,sK14_skl),X0)
| ~ relation(X1)
| ~ relation(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ709_spl])],[split_symbol_definition]) ).
fof(f11190,plain,
( ~ sQ675_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ709_spl ),
inference(split_clause,[status(thm)],[f11048,f11187,f217,f221,f10991]) ).
fof(f11191,definition,
! [X0] :
( sQ710_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),sK2_skl(X0,relation_composition(sK15_skl,sK14_skl))),sK14_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ710_spl])],[split_symbol_definition]) ).
fof(f11194,plain,
( ~ sQ675_spl
| sQ710_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11049,f217,f221,f11191,f10991]) ).
fof(f11195,definition,
! [X0] :
( sQ711_spl
<=> ( in(sK1_skl(X0,sK9_skl),X0)
| X0 = relation_dom(relation_composition(sK15_skl,sK14_skl))
| in(ordered_pair(sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK3_skl(sK2_skl(X0,relation_composition(sK15_skl,sK14_skl)),sK1_skl(X0,relation_composition(sK15_skl,sK14_skl)),relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ711_spl])],[split_symbol_definition]) ).
fof(f11198,plain,
( ~ sQ675_spl
| sQ711_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11050,f217,f221,f11195,f10991]) ).
fof(f11199,definition,
! [X0,X1,X2] :
( sQ712_spl
<=> ( ~ in(ordered_pair(X2,X1),sK14_skl)
| ~ in(ordered_pair(X0,X2),sK15_skl)
| in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ712_spl])],[split_symbol_definition]) ).
fof(f11202,plain,
( ~ sQ675_spl
| sQ712_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11051,f217,f221,f11199,f10991]) ).
fof(f11206,definition,
! [X0,X1] :
( sQ713_spl
<=> ( in(ordered_pair(sK3_skl(X1,X0,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl),X1),sK14_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ713_spl])],[split_symbol_definition]) ).
fof(f11209,plain,
( ~ sQ675_spl
| sQ713_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11055,f217,f221,f11206,f10991]) ).
fof(f11210,definition,
! [X0,X1] :
( sQ714_spl
<=> ( in(ordered_pair(X0,sK3_skl(X1,X0,relation_composition(sK15_skl,sK14_skl),sK14_skl,sK15_skl)),sK15_skl)
| ~ in(ordered_pair(X0,X1),sK9_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ714_spl])],[split_symbol_definition]) ).
fof(f11213,plain,
( ~ sQ675_spl
| sQ714_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f11056,f217,f221,f11210,f10991]) ).
fof(f11619,plain,
! [X0] :
( ~ empty(sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(X0)
| relation_composition(X0,sK9_skl) = sK9_skl ),
inference(paramodulation,[status(thm)],[f571,f1037]) ).
fof(f11620,definition,
! [X0] :
( sQ730_spl
<=> ( ~ relation(X0)
| relation_composition(X0,sK9_skl) = sK9_skl ) ),
introduced(definition,[new_symbols(definition,[sQ730_spl])],[split_symbol_definition]) ).
fof(f11623,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| sQ730_spl ),
inference(split_clause,[status(thm)],[f11619,f11620,f585,f611]) ).
fof(f11638,plain,
( sQ660_spl
| ~ empty(relation_composition(sK15_skl,sK14_skl)) ),
inference(resolution,[status(thm)],[f10862,f97]) ).
fof(f11639,plain,
( sQ660_spl
| ~ empty(relation_dom(relation_dom(relation_composition(sK15_skl,sK14_skl))))
| ~ relation(relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
inference(resolution,[status(thm)],[f10862,f95]) ).
fof(f11640,definition,
( sQ732_spl
<=> relation(relation_dom(relation_composition(sK15_skl,sK14_skl))) ),
introduced(definition,[new_symbols(definition,[sQ732_spl])],[split_symbol_definition]) ).
fof(f11643,definition,
( sQ733_spl
<=> empty(relation_dom(relation_dom(relation_composition(sK15_skl,sK14_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ733_spl])],[split_symbol_definition]) ).
fof(f11646,plain,
( sQ660_spl
| ~ sQ733_spl
| ~ sQ732_spl ),
inference(split_clause,[status(thm)],[f11639,f11640,f11643,f10860]) ).
fof(f11647,plain,
( sQ660_spl
| ~ relation(sK14_skl)
| ~ empty(sK15_skl) ),
inference(resolution,[status(thm)],[f11638,f100]) ).
fof(f11648,plain,
( sQ660_spl
| ~ relation(sK15_skl)
| ~ empty(sK14_skl) ),
inference(resolution,[status(thm)],[f11638,f80]) ).
fof(f11650,plain,
( sQ660_spl
| ~ sQ9_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f11647,f1592,f221,f10860]) ).
fof(f11651,plain,
( sQ660_spl
| ~ sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f11648,f214,f217,f10860]) ).
fof(f11671,plain,
! [X0,X1] :
( ~ empty(sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(X1)
| ~ in(X0,relation_composition(sK9_skl,X1)) ),
inference(paramodulation,[status(thm)],[f571,f1050]) ).
fof(f11672,definition,
! [X0,X1] :
( sQ734_spl
<=> ( ~ relation(X1)
| ~ in(X0,relation_composition(sK9_skl,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ734_spl])],[split_symbol_definition]) ).
fof(f11675,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| sQ734_spl ),
inference(split_clause,[status(thm)],[f11671,f11672,f585,f611]) ).
fof(f11841,plain,
! [X0,X1] :
( ~ empty(sK9_skl)
| ~ relation(sK9_skl)
| ~ relation(X1)
| ~ in(X0,relation_composition(X1,sK9_skl)) ),
inference(paramodulation,[status(thm)],[f571,f1055]) ).
fof(f11842,definition,
! [X0,X1] :
( sQ735_spl
<=> ( ~ relation(X1)
| ~ in(X0,relation_composition(X1,sK9_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ735_spl])],[split_symbol_definition]) ).
fof(f11845,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| sQ735_spl ),
inference(split_clause,[status(thm)],[f11841,f11842,f585,f611]) ).
fof(f11894,plain,
( ~ sQ649_spl
| ~ sQ36_spl
| ~ sQ647_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f10782,f10995]) ).
fof(f11896,plain,
( ~ sQ649_spl
| ~ sQ36_spl
| ~ sQ647_spl ),
inference(contradiction_clause,[status(thm)],[f11894]) ).
fof(f11897,plain,
$false,
inference(sat_refutation,[status(thm)],[f147,f151,f152,f175,f224,f226,f228,f236,f240,f244,f264,f286,f300,f305,f309,f312,f338,f355,f359,f363,f370,f374,f378,f385,f387,f412,f416,f454,f468,f470,f479,f493,f497,f522,f527,f531,f591,f598,f602,f606,f610,f614,f619,f623,f625,f647,f651,f666,f670,f683,f685,f705,f709,f724,f728,f732,f736,f740,f744,f748,f774,f791,f813,f817,f821,f825,f839,f847,f879,f883,f888,f892,f904,f908,f912,f916,f920,f924,f928,f937,f951,f955,f959,f966,f978,f996,f1000,f1004,f1011,f1045,f1074,f1091,f1148,f1152,f1156,f1160,f1164,f1168,f1172,f1176,f1180,f1184,f1188,f1192,f1196,f1200,f1204,f1208,f1212,f1216,f1220,f1224,f1228,f1232,f1236,f1240,f1250,f1254,f1262,f1399,f1403,f1408,f1412,f1433,f1437,f1441,f1445,f1452,f1488,f1492,f1496,f1500,f1504,f1508,f1512,f1516,f1520,f1524,f1528,f1532,f1536,f1540,f1544,f1548,f1552,f1556,f1560,f1564,f1568,f1572,f1576,f1580,f1587,f1591,f1737,f1741,f1745,f1749,f1756,f1764,f1787,f1821,f1825,f1829,f1833,f1899,f1903,f1907,f1911,f1915,f1919,f1923,f1927,f1931,f1935,f1939,f1943,f1947,f1951,f1955,f1959,f1963,f1967,f1971,f1975,f1979,f1983,f1987,f1991,f1995,f1999,f2009,f2013,f2310,f2314,f2318,f2322,f2326,f2330,f2334,f2338,f2342,f2346,f2350,f2354,f2358,f2362,f2366,f2370,f2374,f2378,f2382,f2386,f2390,f2394,f2398,f2402,f2406,f2410,f2420,f2424,f2606,f2610,f2614,f2618,f2622,f2626,f2630,f2634,f2638,f2642,f2646,f2650,f2654,f2658,f2662,f2666,f2670,f2674,f2678,f2682,f2686,f2690,f2694,f2698,f2702,f2706,f2713,f2717,f2937,f2941,f2946,f2950,f2967,f2971,f2975,f2979,f2983,f3073,f3077,f3081,f3085,f3089,f3093,f3097,f3101,f3105,f3109,f3113,f3117,f3121,f3125,f3129,f3133,f3137,f3141,f3145,f3149,f3153,f3157,f3161,f3165,f3169,f3173,f3177,f3184,f3188,f3390,f3394,f3398,f3402,f3406,f3410,f3414,f3418,f3422,f3426,f3430,f3434,f3438,f3442,f3446,f3450,f3454,f3458,f3462,f3466,f3470,f3474,f3478,f3482,f3486,f3490,f3494,f3501,f3505,f3727,f3731,f3736,f3740,f3759,f3763,f3767,f3771,f3775,f3779,f3783,f4276,f4280,f4284,f4288,f4292,f4296,f4300,f4304,f4308,f4312,f4316,f4320,f4324,f4328,f4332,f4336,f4340,f4344,f4348,f4352,f4356,f4360,f4364,f4368,f4372,f4376,f4380,f4384,f4391,f4395,f4556,f4560,f4564,f4622,f4626,f4630,f4634,f4638,f4642,f4646,f4650,f4654,f4658,f4662,f4666,f4670,f4674,f4678,f4682,f4686,f4690,f4694,f4698,f4702,f4706,f4710,f4714,f4718,f4722,f4726,f4730,f4737,f4741,f4935,f4939,f4943,f4947,f4951,f4955,f4959,f4963,f4967,f4971,f4975,f4979,f4983,f4987,f4991,f4995,f4999,f5003,f5007,f5011,f5015,f5019,f5023,f5027,f5031,f5035,f5039,f5043,f5050,f5054,f5217,f5241,f5544,f5548,f5552,f5556,f5560,f5564,f5568,f5572,f5576,f5580,f5584,f5588,f5592,f5596,f5600,f5604,f5608,f5612,f5616,f5620,f5624,f5628,f5632,f5636,f5640,f5644,f5648,f5652,f5656,f5660,f5664,f5671,f5675,f6104,f6128,f6275,f6307,f6311,f6316,f6320,f6328,f6385,f6446,f6450,f6454,f7050,f7054,f7058,f7083,f7087,f7091,f7208,f7232,f7464,f7468,f7884,f7908,f8016,f8020,f8024,f8032,f8043,f8047,f8052,f8056,f8064,f8093,f8097,f8115,f8491,f8495,f8499,f8503,f8510,f8522,f8526,f8531,f8535,f8549,f8553,f8558,f8562,f8881,f8885,f8889,f8893,f8897,f8901,f8905,f8909,f8913,f8917,f8921,f8925,f8929,f8933,f8937,f8941,f8945,f8949,f8953,f8957,f8961,f8965,f8969,f8973,f8977,f8981,f8985,f8989,f8996,f9000,f9241,f9245,f9249,f9253,f9260,f9264,f9268,f9272,f9279,f9283,f9288,f9292,f9318,f9323,f9333,f9337,f9342,f9346,f9421,f9425,f9429,f9433,f9437,f9441,f9445,f9449,f9453,f9457,f9461,f9465,f9469,f9473,f9477,f9481,f9485,f9489,f9493,f9497,f9501,f9505,f9509,f9513,f9517,f9521,f9525,f9529,f9536,f9540,f9723,f9727,f9731,f9756,f9760,f9764,f9797,f9801,f9805,f9809,f9816,f10072,f10089,f10093,f10098,f10102,f10116,f10120,f10125,f10129,f10146,f10387,f10400,f10657,f10661,f10667,f10671,f10740,f10758,f10768,f10773,f10784,f10812,f10848,f10855,f10859,f10866,f10873,f10877,f10888,f10892,f10897,f10901,f10966,f10970,f10974,f10978,f10982,f10986,f10990,f10994,f11070,f11074,f11078,f11082,f11086,f11090,f11094,f11098,f11102,f11106,f11110,f11114,f11118,f11122,f11126,f11130,f11134,f11138,f11142,f11146,f11150,f11154,f11158,f11162,f11166,f11170,f11174,f11178,f11182,f11186,f11190,f11194,f11198,f11202,f11209,f11213,f11623,f11646,f11650,f11651,f11675,f11845,f11896]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU213+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:59:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 156.22/20.17 % Refutation found
% 156.22/20.17 % SZS status Theorem for theBenchmark: Theorem is valid
% 156.22/20.17 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 156.22/20.26 % Elapsed time: 19.879421 seconds
% 156.22/20.26 % CPU time: 157.116456 seconds
% 156.22/20.26 % Total memory used: 527.187 MB
% 156.22/20.26 % Net memory used: 466.224 MB
%------------------------------------------------------------------------------