%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRA011+1 : TPTP v9.3.1. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:30:40 PM UTC 2026
% Result : Theorem 135.39s 17.55s
% Output : CNFRefutation 20.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 712
% Syntax : Number of formulae : 2563 ( 9 unt; 697 def)
% Number of atoms : 24473 (2733 equ)
% Maximal formula atoms : 25 ( 9 avg)
% Number of connectives : 40795 (18885 ~;21011 |; 170 &)
% ( 701 <=>; 18 =>; 2 <=; 8 <~>)
% Maximal formula depth : 37 ( 14 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 710 ( 708 usr; 697 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-3 aty)
% Number of variables : 9625 (9589 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [E] :
( edge(E)
=> head_of(E) != tail_of(E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [E] :
( edge(E)
=> ( vertex(tail_of(E))
& vertex(head_of(E)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( complete
=> ! [V1,V2] :
( ( V1 != V2
& vertex(V2)
& vertex(V1) )
=> ? [E] :
( ( ( V2 = tail_of(E)
& V1 = head_of(E) )
<~> ( V1 = tail_of(E)
& V2 = head_of(E) ) )
& edge(E) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V1,V2,P] :
( path(V1,V2,P)
<= ( ? [E] :
( ( ? [TP] :
( P = path_cons(E,TP)
& path(head_of(E),V2,TP) )
| ( P = path_cons(E,empty)
& V2 = head_of(E) ) )
& V1 = tail_of(E)
& edge(E) )
& vertex(V2)
& vertex(V1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V1,V2,P] :
( path(V1,V2,P)
=> ( ? [E] :
( ( ( P = path_cons(E,empty)
& V2 = head_of(E) )
<~> ? [TP] :
( P = path_cons(E,TP)
& path(head_of(E),V2,TP) ) )
& V1 = tail_of(E)
& edge(E) )
& vertex(V2)
& vertex(V1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [V1,V2,P,E] :
( ( on_path(E,P)
& path(V1,V2,P) )
=> ( in_path(tail_of(E),P)
& in_path(head_of(E),P)
& edge(E) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V1,V2,P,V] :
( ( in_path(V,P)
& path(V1,V2,P) )
=> ( ? [E] :
( ( V = tail_of(E)
| V = head_of(E) )
& on_path(E,P) )
& vertex(V) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [E1,E2] :
( sequential(E1,E2)
<=> ( head_of(E1) = tail_of(E2)
& E1 != E2
& edge(E2)
& edge(E1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [P,V1,V2] :
( path(V1,V2,P)
=> ! [E1,E2] :
( precedes(E1,E2,P)
<= ( ( ? [E3] :
( precedes(E3,E2,P)
& sequential(E1,E3) )
| sequential(E1,E2) )
& on_path(E2,P)
& on_path(E1,P) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [P,V1,V2] :
( path(V1,V2,P)
=> ! [E1,E2] :
( precedes(E1,E2,P)
=> ( ( sequential(E1,E2)
<~> ? [E3] :
( precedes(E3,E2,P)
& sequential(E1,E3) ) )
& on_path(E2,P)
& on_path(E1,P) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [V1,V2,SP] :
( shortest_path(V1,V2,SP)
<=> ( ! [P] :
( path(V1,V2,P)
=> less_or_equal(length_of(SP),length_of(P)) )
& V1 != V2
& path(V1,V2,SP) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [V1,V2,E1,E2,P] :
( ( precedes(E1,E2,P)
& shortest_path(V1,V2,P) )
=> ( ~ precedes(E2,E1,P)
& ~ ? [E3] :
( head_of(E3) = head_of(E2)
& tail_of(E3) = tail_of(E1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [E1,E2,E3] :
( triangle(E1,E2,E3)
<=> ( sequential(E3,E1)
& sequential(E2,E3)
& sequential(E1,E2)
& edge(E3)
& edge(E2)
& edge(E1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [P,V1,V2] :
( ( ! [E1,E2] :
( ( sequential(E1,E2)
& on_path(E2,P)
& on_path(E1,P) )
=> ? [E3] : triangle(E1,E2,E3) )
& path(V1,V2,P) )
=> number_of_in(sequential_pairs,P) = number_of_in(triangles,P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( complete
=> ! [P,V1,V2] :
( shortest_path(V1,V2,P)
=> number_of_in(sequential_pairs,P) = number_of_in(triangles,P) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( complete
=> ! [P,V1,V2] :
( shortest_path(V1,V2,P)
=> number_of_in(sequential_pairs,P) = number_of_in(triangles,P) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
! [E] :
( head_of(E) != tail_of(E)
| ~ edge(E) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
! [X0] :
( head_of(X0) != tail_of(X0)
| ~ edge(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [E] :
( ( vertex(tail_of(E))
& vertex(head_of(E)) )
| ~ edge(E) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
! [X0] :
( vertex(head_of(X0))
| ~ edge(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [X0] :
( vertex(tail_of(X0))
| ~ edge(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f25,plain,
( ! [V1,V2] :
( ? [E] :
( ( ( V2 = tail_of(E)
& V1 = head_of(E) )
<~> ( V1 = tail_of(E)
& V2 = head_of(E) ) )
& edge(E) )
| V1 = V2
| ~ vertex(V2)
| ~ vertex(V1) )
| ~ complete ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f26,definition,
! [V1,V2,E] :
( sP0_prd(E,V2,V1)
<=> ( V2 = tail_of(E)
& V1 = head_of(E) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f27,plain,
( ! [V1,V2] :
( ? [E] :
( ( sP0_prd(E,V2,V1)
<~> ( V1 = tail_of(E)
& V2 = head_of(E) ) )
& edge(E) )
| V1 = V2
| ~ vertex(V2)
| ~ vertex(V1) )
| ~ complete ),
inference(formula_renaming,[status(thm)],[f25,f26]) ).
fof(f28,plain,
( ! [V1,V2] :
( ? [E] :
( ( V1 != tail_of(E)
| V2 != head_of(E)
| ~ sP0_prd(E,V2,V1) )
& ( ( V1 = tail_of(E)
& V2 = head_of(E) )
| sP0_prd(E,V2,V1) )
& edge(E) )
| V1 = V2
| ~ vertex(V2)
| ~ vertex(V1) )
| ~ complete ),
inference(NNF_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
( ! [V1,V2] :
( ( ( V1 != tail_of(sK0_skl(V2,V1))
| V2 != head_of(sK0_skl(V2,V1))
| ~ sP0_prd(sK0_skl(V2,V1),V2,V1) )
& ( ( V1 = tail_of(sK0_skl(V2,V1))
& V2 = head_of(sK0_skl(V2,V1)) )
| sP0_prd(sK0_skl(V2,V1),V2,V1) )
& edge(sK0_skl(V2,V1)) )
| V1 = V2
| ~ vertex(V2)
| ~ vertex(V1) )
| ~ complete ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(E,sK0_skl(V2,V1))],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( edge(sK0_skl(X1,X0))
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| ~ complete ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( X1 = head_of(sK0_skl(X1,X0))
| sP0_prd(sK0_skl(X1,X0),X1,X0)
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| ~ complete ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f32,plain,
! [X0,X1] :
( X0 = tail_of(sK0_skl(X1,X0))
| sP0_prd(sK0_skl(X1,X0),X1,X0)
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| ~ complete ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f33,plain,
! [X0,X1] :
( X0 != tail_of(sK0_skl(X1,X0))
| X1 != head_of(sK0_skl(X1,X0))
| ~ sP0_prd(sK0_skl(X1,X0),X1,X0)
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| ~ complete ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f34,plain,
! [V1,V2,P] :
( ! [E] :
( ( ! [TP] :
( P != path_cons(E,TP)
| ~ path(head_of(E),V2,TP) )
& ( P != path_cons(E,empty)
| V2 != head_of(E) ) )
| V1 != tail_of(E)
| ~ edge(E) )
| ~ vertex(V2)
| ~ vertex(V1)
| path(V1,V2,P) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( X2 != path_cons(X3,empty)
| X1 != head_of(X3)
| X0 != tail_of(X3)
| ~ edge(X3)
| ~ vertex(X1)
| ~ vertex(X0)
| path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4] :
( X2 != path_cons(X3,X4)
| ~ path(head_of(X3),X1,X4)
| X0 != tail_of(X3)
| ~ edge(X3)
| ~ vertex(X1)
| ~ vertex(X0)
| path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f37,plain,
! [V1,V2,P] :
( ( ? [E] :
( ( ( P = path_cons(E,empty)
& V2 = head_of(E) )
<~> ? [TP] :
( P = path_cons(E,TP)
& path(head_of(E),V2,TP) ) )
& V1 = tail_of(E)
& edge(E) )
& vertex(V2)
& vertex(V1) )
| ~ path(V1,V2,P) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f38,definition,
! [V2,P,E] :
( sP1_prd(E,P,V2)
<=> ( P = path_cons(E,empty)
& V2 = head_of(E) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f39,plain,
! [V1,V2,P] :
( ( ? [E] :
( ( sP1_prd(E,P,V2)
<~> ? [TP] :
( P = path_cons(E,TP)
& path(head_of(E),V2,TP) ) )
& V1 = tail_of(E)
& edge(E) )
& vertex(V2)
& vertex(V1) )
| ~ path(V1,V2,P) ),
inference(formula_renaming,[status(thm)],[f37,f38]) ).
fof(f40,plain,
! [V1,V2,P] :
( ( ? [E] :
( ( ! [TP] :
( P != path_cons(E,TP)
| ~ path(head_of(E),V2,TP) )
| ~ sP1_prd(E,P,V2) )
& ( ? [TP] :
( P = path_cons(E,TP)
& path(head_of(E),V2,TP) )
| sP1_prd(E,P,V2) )
& V1 = tail_of(E)
& edge(E) )
& vertex(V2)
& vertex(V1) )
| ~ path(V1,V2,P) ),
inference(NNF_transformation,[status(thm)],[f39]) ).
fof(f41,plain,
! [V1,V2,P] :
( ( ( ! [TP] :
( P != path_cons(sK1_skl(P,V2,V1),TP)
| ~ path(head_of(sK1_skl(P,V2,V1)),V2,TP) )
| ~ sP1_prd(sK1_skl(P,V2,V1),P,V2) )
& ( ( P = path_cons(sK1_skl(P,V2,V1),sK2_skl(P,V2,V1))
& path(head_of(sK1_skl(P,V2,V1)),V2,sK2_skl(P,V2,V1)) )
| sP1_prd(sK1_skl(P,V2,V1),P,V2) )
& V1 = tail_of(sK1_skl(P,V2,V1))
& edge(sK1_skl(P,V2,V1))
& vertex(V2)
& vertex(V1) )
| ~ path(V1,V2,P) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(E,sK1_skl(P,V2,V1)),skolemize(TP,sK2_skl(P,V2,V1))],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( vertex(X0)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
! [X0,X1,X2] :
( vertex(X1)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f44,plain,
! [X0,X1,X2] :
( edge(sK1_skl(X2,X1,X0))
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f45,plain,
! [X0,X1,X2] :
( X0 = tail_of(sK1_skl(X2,X1,X0))
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f46,plain,
! [X0,X1,X2] :
( path(head_of(sK1_skl(X2,X1,X0)),X1,sK2_skl(X2,X1,X0))
| sP1_prd(sK1_skl(X2,X1,X0),X2,X1)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f49,plain,
! [V1,V2,P,E] :
( ( in_path(tail_of(E),P)
& in_path(head_of(E),P)
& edge(E) )
| ~ on_path(E,P)
| ~ path(V1,V2,P) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f50,plain,
! [P,E] :
( ( in_path(tail_of(E),P)
& in_path(head_of(E),P)
& edge(E) )
| ~ on_path(E,P)
| ! [V1,V2] : ~ path(V1,V2,P) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( edge(X3)
| ~ on_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( in_path(head_of(X3),X2)
| ~ on_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( in_path(tail_of(X3),X2)
| ~ on_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f54,plain,
! [V1,V2,P,V] :
( ( ? [E] :
( ( V = tail_of(E)
| V = head_of(E) )
& on_path(E,P) )
& vertex(V) )
| ~ in_path(V,P)
| ~ path(V1,V2,P) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f55,plain,
! [P,V] :
( ( ? [E] :
( ( V = tail_of(E)
| V = head_of(E) )
& on_path(E,P) )
& vertex(V) )
| ~ in_path(V,P)
| ! [V1,V2] : ~ path(V1,V2,P) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f56,plain,
! [P,V] :
( ( ( V = tail_of(sK3_skl(V,P))
| V = head_of(sK3_skl(V,P)) )
& on_path(sK3_skl(V,P),P)
& vertex(V) )
| ~ in_path(V,P)
| ! [V1,V2] : ~ path(V1,V2,P) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(E,sK3_skl(V,P))],[f55]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( vertex(X3)
| ~ in_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( on_path(sK3_skl(X3,X2),X2)
| ~ in_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( X3 = tail_of(sK3_skl(X3,X2))
| X3 = head_of(sK3_skl(X3,X2))
| ~ in_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f60,plain,
! [E1,E2] :
( ( head_of(E1) != tail_of(E2)
| E1 = E2
| ~ edge(E2)
| ~ edge(E1)
| sequential(E1,E2) )
& ( ( head_of(E1) = tail_of(E2)
& E1 != E2
& edge(E2)
& edge(E1) )
| ~ sequential(E1,E2) ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f61,plain,
( ! [E1,E2] :
( head_of(E1) != tail_of(E2)
| E1 = E2
| ~ edge(E2)
| ~ edge(E1)
| sequential(E1,E2) )
& ! [E1,E2] :
( ( head_of(E1) = tail_of(E2)
& E1 != E2
& edge(E2)
& edge(E1) )
| ~ sequential(E1,E2) ) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( edge(X0)
| ~ sequential(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( edge(X1)
| ~ sequential(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f64,plain,
! [X0,X1] :
( X0 != X1
| ~ sequential(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f65,plain,
! [X0,X1] :
( head_of(X0) = tail_of(X1)
| ~ sequential(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f66,plain,
! [X0,X1] :
( head_of(X0) != tail_of(X1)
| X0 = X1
| ~ edge(X1)
| ~ edge(X0)
| sequential(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f67,plain,
! [P,V1,V2] :
( ! [E1,E2] :
( ( ! [E3] :
( ~ precedes(E3,E2,P)
| ~ sequential(E1,E3) )
& ~ sequential(E1,E2) )
| ~ on_path(E2,P)
| ~ on_path(E1,P)
| precedes(E1,E2,P) )
| ~ path(V1,V2,P) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f68,plain,
! [P] :
( ! [E1,E2] :
( ( ! [E3] :
( ~ precedes(E3,E2,P)
| ~ sequential(E1,E3) )
& ~ sequential(E1,E2) )
| ~ on_path(E2,P)
| ~ on_path(E1,P)
| precedes(E1,E2,P) )
| ! [V1,V2] : ~ path(V1,V2,P) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4] :
( ~ sequential(X3,X4)
| ~ on_path(X4,X2)
| ~ on_path(X3,X2)
| precedes(X3,X4,X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ precedes(X5,X4,X2)
| ~ sequential(X3,X5)
| ~ on_path(X4,X2)
| ~ on_path(X3,X2)
| precedes(X3,X4,X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f71,plain,
! [P,V1,V2] :
( ! [E1,E2] :
( ( ( sequential(E1,E2)
<~> ? [E3] :
( precedes(E3,E2,P)
& sequential(E1,E3) ) )
& on_path(E2,P)
& on_path(E1,P) )
| ~ precedes(E1,E2,P) )
| ~ path(V1,V2,P) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f72,plain,
! [P,V1,V2] :
( ! [E1,E2] :
( ( ( ! [E3] :
( ~ precedes(E3,E2,P)
| ~ sequential(E1,E3) )
| ~ sequential(E1,E2) )
& ( ? [E3] :
( precedes(E3,E2,P)
& sequential(E1,E3) )
| sequential(E1,E2) )
& on_path(E2,P)
& on_path(E1,P) )
| ~ precedes(E1,E2,P) )
| ~ path(V1,V2,P) ),
inference(NNF_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [P] :
( ! [E1,E2] :
( ( ( ! [E3] :
( ~ precedes(E3,E2,P)
| ~ sequential(E1,E3) )
| ~ sequential(E1,E2) )
& ( ? [E3] :
( precedes(E3,E2,P)
& sequential(E1,E3) )
| sequential(E1,E2) )
& on_path(E2,P)
& on_path(E1,P) )
| ~ precedes(E1,E2,P) )
| ! [V1,V2] : ~ path(V1,V2,P) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f74,plain,
! [P] :
( ! [E1,E2] :
( ( ( ! [E3] :
( ~ precedes(E3,E2,P)
| ~ sequential(E1,E3) )
| ~ sequential(E1,E2) )
& ( ( precedes(sK4_skl(E2,E1,P),E2,P)
& sequential(E1,sK4_skl(E2,E1,P)) )
| sequential(E1,E2) )
& on_path(E2,P)
& on_path(E1,P) )
| ~ precedes(E1,E2,P) )
| ! [V1,V2] : ~ path(V1,V2,P) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(E3,sK4_skl(E2,E1,P))],[f73]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4] :
( on_path(X3,X2)
| ~ precedes(X3,X4,X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4] :
( on_path(X4,X2)
| ~ precedes(X3,X4,X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f77,plain,
! [X0,X1,X2,X3,X4] :
( sequential(X3,sK4_skl(X4,X3,X2))
| sequential(X3,X4)
| ~ precedes(X3,X4,X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4] :
( precedes(sK4_skl(X4,X3,X2),X4,X2)
| sequential(X3,X4)
| ~ precedes(X3,X4,X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f79,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ precedes(X5,X4,X2)
| ~ sequential(X3,X5)
| ~ sequential(X3,X4)
| ~ precedes(X3,X4,X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f80,plain,
! [V1,V2,SP] :
( shortest_path(V1,V2,SP)
<=> ( ! [P] :
( less_or_equal(length_of(SP),length_of(P))
| ~ path(V1,V2,P) )
& V1 != V2
& path(V1,V2,SP) ) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f81,plain,
! [V1,V2,SP] :
( ( ? [P] :
( ~ less_or_equal(length_of(SP),length_of(P))
& path(V1,V2,P) )
| V1 = V2
| ~ path(V1,V2,SP)
| shortest_path(V1,V2,SP) )
& ( ( ! [P] :
( less_or_equal(length_of(SP),length_of(P))
| ~ path(V1,V2,P) )
& V1 != V2
& path(V1,V2,SP) )
| ~ shortest_path(V1,V2,SP) ) ),
inference(NNF_transformation,[status(thm)],[f80]) ).
fof(f82,plain,
( ! [V1,V2,SP] :
( ? [P] :
( ~ less_or_equal(length_of(SP),length_of(P))
& path(V1,V2,P) )
| V1 = V2
| ~ path(V1,V2,SP)
| shortest_path(V1,V2,SP) )
& ! [V1,V2,SP] :
( ( ! [P] :
( less_or_equal(length_of(SP),length_of(P))
| ~ path(V1,V2,P) )
& V1 != V2
& path(V1,V2,SP) )
| ~ shortest_path(V1,V2,SP) ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f83,plain,
( ! [V1,V2,SP] :
( ( ~ less_or_equal(length_of(SP),length_of(sK5_skl(SP,V2,V1)))
& path(V1,V2,sK5_skl(SP,V2,V1)) )
| V1 = V2
| ~ path(V1,V2,SP)
| shortest_path(V1,V2,SP) )
& ! [V1,V2,SP] :
( ( ! [P] :
( less_or_equal(length_of(SP),length_of(P))
| ~ path(V1,V2,P) )
& V1 != V2
& path(V1,V2,SP) )
| ~ shortest_path(V1,V2,SP) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(P,sK5_skl(SP,V2,V1))],[f82]) ).
fof(f84,plain,
! [X0,X1,X2] :
( path(X0,X1,X2)
| ~ shortest_path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f87,plain,
! [X0,X1,X2] :
( path(X0,X1,sK5_skl(X2,X1,X0))
| X0 = X1
| ~ path(X0,X1,X2)
| shortest_path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f89,plain,
! [V1,V2,E1,E2,P] :
( ( ~ precedes(E2,E1,P)
& ! [E3] :
( head_of(E3) != head_of(E2)
| tail_of(E3) != tail_of(E1) ) )
| ~ precedes(E1,E2,P)
| ~ shortest_path(V1,V2,P) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f90,plain,
! [E1,E2,P] :
( ( ~ precedes(E2,E1,P)
& ! [E3] :
( head_of(E3) != head_of(E2)
| tail_of(E3) != tail_of(E1) ) )
| ~ precedes(E1,E2,P)
| ! [V1,V2] : ~ shortest_path(V1,V2,P) ),
inference(miniscoping,[status(thm)],[f89]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4,X5] :
( head_of(X5) != head_of(X4)
| tail_of(X5) != tail_of(X3)
| ~ precedes(X3,X4,X2)
| ~ shortest_path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f92,plain,
! [X0,X1,X2,X3,X4] :
( ~ precedes(X4,X3,X2)
| ~ precedes(X3,X4,X2)
| ~ shortest_path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f93,plain,
! [E1,E2,E3] :
( ( ~ sequential(E3,E1)
| ~ sequential(E2,E3)
| ~ sequential(E1,E2)
| ~ edge(E3)
| ~ edge(E2)
| ~ edge(E1)
| triangle(E1,E2,E3) )
& ( ( sequential(E3,E1)
& sequential(E2,E3)
& sequential(E1,E2)
& edge(E3)
& edge(E2)
& edge(E1) )
| ~ triangle(E1,E2,E3) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f94,plain,
( ! [E1,E2,E3] :
( ~ sequential(E3,E1)
| ~ sequential(E2,E3)
| ~ sequential(E1,E2)
| ~ edge(E3)
| ~ edge(E2)
| ~ edge(E1)
| triangle(E1,E2,E3) )
& ! [E1,E2,E3] :
( ( sequential(E3,E1)
& sequential(E2,E3)
& sequential(E1,E2)
& edge(E3)
& edge(E2)
& edge(E1) )
| ~ triangle(E1,E2,E3) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ~ sequential(X2,X0)
| ~ sequential(X1,X2)
| ~ sequential(X0,X1)
| ~ edge(X2)
| ~ edge(X1)
| ~ edge(X0)
| triangle(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f108,plain,
! [P,V1,V2] :
( number_of_in(sequential_pairs,P) = number_of_in(triangles,P)
| ? [E1,E2] :
( ! [E3] : ~ triangle(E1,E2,E3)
& sequential(E1,E2)
& on_path(E2,P)
& on_path(E1,P) )
| ~ path(V1,V2,P) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f109,plain,
! [P] :
( number_of_in(sequential_pairs,P) = number_of_in(triangles,P)
| ? [E1,E2] :
( ! [E3] : ~ triangle(E1,E2,E3)
& sequential(E1,E2)
& on_path(E2,P)
& on_path(E1,P) )
| ! [V1,V2] : ~ path(V1,V2,P) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f110,plain,
! [P] :
( number_of_in(sequential_pairs,P) = number_of_in(triangles,P)
| ( ! [E3] : ~ triangle(sK6_skl(P),sK7_skl(P),E3)
& sequential(sK6_skl(P),sK7_skl(P))
& on_path(sK7_skl(P),P)
& on_path(sK6_skl(P),P) )
| ! [V1,V2] : ~ path(V1,V2,P) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(E1,sK6_skl(P)),skolemize(E2,sK7_skl(P))],[f109]) ).
fof(f111,plain,
! [X0,X1,X2] :
( number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2)
| on_path(sK6_skl(X2),X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2)
| on_path(sK7_skl(X2),X2)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f113,plain,
! [X0,X1,X2] :
( number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2)
| sequential(sK6_skl(X2),sK7_skl(X2))
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2)
| ~ triangle(sK6_skl(X2),sK7_skl(X2),X3)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f116,plain,
( ? [P,V1,V2] :
( number_of_in(sequential_pairs,P) != number_of_in(triangles,P)
& shortest_path(V1,V2,P) )
& complete ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f117,plain,
( ? [P] :
( number_of_in(sequential_pairs,P) != number_of_in(triangles,P)
& ? [V1,V2] : shortest_path(V1,V2,P) )
& complete ),
inference(miniscoping,[status(thm)],[f116]) ).
fof(f118,plain,
( number_of_in(sequential_pairs,sK8_skl) != number_of_in(triangles,sK8_skl)
& shortest_path(sK9_skl,sK10_skl,sK8_skl)
& complete ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl,sK10_skl]),skolemize(P,sK8_skl),skolemize(V1,sK9_skl),skolemize(V2,sK10_skl)],[f117]) ).
fof(f119,plain,
complete,
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f120,plain,
shortest_path(sK9_skl,sK10_skl,sK8_skl),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f121,plain,
number_of_in(sequential_pairs,sK8_skl) != number_of_in(triangles,sK8_skl),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f122,plain,
! [V1,V2,E] :
( ( V2 != tail_of(E)
| V1 != head_of(E)
| sP0_prd(E,V2,V1) )
& ( ( V2 = tail_of(E)
& V1 = head_of(E) )
| ~ sP0_prd(E,V2,V1) ) ),
inference(NNF_transformation,[status(thm)],[f26]) ).
fof(f123,plain,
( ! [V1,V2,E] :
( V2 != tail_of(E)
| V1 != head_of(E)
| sP0_prd(E,V2,V1) )
& ! [V1,V2,E] :
( ( V2 = tail_of(E)
& V1 = head_of(E) )
| ~ sP0_prd(E,V2,V1) ) ),
inference(miniscoping,[status(thm)],[f122]) ).
fof(f124,plain,
! [X0,X1,X2] :
( X2 = head_of(X0)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
! [X0,X1,X2] :
( X1 = tail_of(X0)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f127,plain,
! [V2,P,E] :
( ( P != path_cons(E,empty)
| V2 != head_of(E)
| sP1_prd(E,P,V2) )
& ( ( P = path_cons(E,empty)
& V2 = head_of(E) )
| ~ sP1_prd(E,P,V2) ) ),
inference(NNF_transformation,[status(thm)],[f38]) ).
fof(f128,plain,
( ! [V2,P,E] :
( P != path_cons(E,empty)
| V2 != head_of(E)
| sP1_prd(E,P,V2) )
& ! [V2,P,E] :
( ( P = path_cons(E,empty)
& V2 = head_of(E) )
| ~ sP1_prd(E,P,V2) ) ),
inference(miniscoping,[status(thm)],[f127]) ).
fof(f129,plain,
! [X0,X1,X2] :
( X2 = head_of(X0)
| ~ sP1_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f132,definition,
( sQ0_spl
<=> complete ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( sQ0_spl
| ~ complete ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,definition,
! [X0,X1] :
( sQ1_spl
<=> ( edge(sK0_skl(X1,X0))
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f136,plain,
! [X0,X1] :
( ~ sQ1_spl
| edge(sK0_skl(X1,X0))
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f132,f135]) ).
fof(f139,definition,
! [X0,X1] :
( sQ2_spl
<=> ( X1 = head_of(sK0_skl(X1,X0))
| sP0_prd(sK0_skl(X1,X0),X1,X0)
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f140,plain,
! [X0,X1] :
( ~ sQ2_spl
| X1 = head_of(sK0_skl(X1,X0))
| sP0_prd(sK0_skl(X1,X0),X1,X0)
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f31,f132,f139]) ).
fof(f143,definition,
! [X0,X1] :
( sQ3_spl
<=> ( X0 = tail_of(sK0_skl(X1,X0))
| sP0_prd(sK0_skl(X1,X0),X1,X0)
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f144,plain,
! [X0,X1] :
( ~ sQ3_spl
| X0 = tail_of(sK0_skl(X1,X0))
| sP0_prd(sK0_skl(X1,X0),X1,X0)
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f32,f132,f143]) ).
fof(f147,definition,
! [X0,X1] :
( sQ4_spl
<=> ( X0 != tail_of(sK0_skl(X1,X0))
| X1 != head_of(sK0_skl(X1,X0))
| ~ sP0_prd(sK0_skl(X1,X0),X1,X0)
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f148,plain,
! [X0,X1] :
( ~ sQ4_spl
| X0 != tail_of(sK0_skl(X1,X0))
| X1 != head_of(sK0_skl(X1,X0))
| ~ sP0_prd(sK0_skl(X1,X0),X1,X0)
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f33,f132,f147]) ).
fof(f151,plain,
! [X0] :
( ~ edge(X0)
| ~ vertex(head_of(X0))
| ~ vertex(tail_of(X0))
| path(tail_of(X0),head_of(X0),path_cons(X0,empty)) ),
inference(destructive_equality_resolution,[status(thm)],[f35]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ~ path(head_of(X0),X1,X2)
| ~ edge(X0)
| ~ vertex(X1)
| ~ vertex(tail_of(X0))
| path(tail_of(X0),X1,path_cons(X0,X2)) ),
inference(destructive_equality_resolution,[status(thm)],[f36]) ).
fof(f153,plain,
! [X0] : ~ sequential(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f64]) ).
fof(f157,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f134,f119]) ).
fof(f158,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f157]) ).
fof(f159,plain,
path(sK9_skl,sK10_skl,sK8_skl),
inference(resolution,[status(thm)],[f84,f120]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( head_of(X3) != head_of(X4)
| ~ precedes(X3,X4,X2)
| ~ shortest_path(X0,X1,X2) ),
inference(equality_resolution,[status(thm)],[f91]) ).
fof(f161,plain,
! [X0,X1] :
( ~ precedes(X1,X0,sK8_skl)
| ~ precedes(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f92,f120]) ).
fof(f163,plain,
! [X0] :
( ~ edge(X0)
| ~ vertex(head_of(X0))
| path(tail_of(X0),head_of(X0),path_cons(X0,empty)) ),
inference(forward_subsumption_resolution,[status(thm)],[f151,f24]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ~ path(head_of(X0),X1,X2)
| ~ edge(X0)
| ~ vertex(X1)
| path(tail_of(X0),X1,path_cons(X0,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f24]) ).
fof(f169,plain,
! [X0,X1,X2] :
( ~ path(head_of(X0),X1,X2)
| ~ edge(X0)
| path(tail_of(X0),X1,path_cons(X0,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[f165,f43]) ).
fof(f172,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( head_of(X0) != head_of(X6)
| ~ precedes(sK1_skl(X2,X1,tail_of(X0)),X6,X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(X0),X1,X2) ),
inference(resolution,[status(thm)],[f45,f91]) ).
fof(f173,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( head_of(sK1_skl(X2,X1,tail_of(X0))) != head_of(X6)
| ~ precedes(X0,X6,X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(X0),X1,X2) ),
inference(resolution,[status(thm)],[f45,f91]) ).
fof(f175,plain,
! [X0,X1,X2] :
( vertex(head_of(sK1_skl(X2,X1,X0)))
| sP1_prd(sK1_skl(X2,X1,X0),X2,X1)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f46,f42]) ).
fof(f176,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ precedes(sK1_skl(X2,X1,tail_of(X0)),X0,X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(X0),X1,X2) ),
inference(equality_resolution,[status(thm)],[f172]) ).
fof(f177,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ precedes(X0,sK1_skl(X2,X1,tail_of(X0)),X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(X0),X1,X2) ),
inference(equality_resolution,[status(thm)],[f173]) ).
fof(f178,plain,
! [X0,X1] :
( ~ sQ3_spl
| X0 = tail_of(sK0_skl(X1,X0))
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| X0 = head_of(sK0_skl(X1,X0)) ),
inference(resolution,[status(thm)],[f124,f144]) ).
fof(f179,plain,
! [X0,X1] :
( ~ sQ2_spl
| X1 = head_of(sK0_skl(X1,X0))
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| X0 = head_of(sK0_skl(X1,X0)) ),
inference(resolution,[status(thm)],[f124,f140]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| head_of(X0) != head_of(X5)
| ~ precedes(sK0_skl(X1,tail_of(X0)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X0) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X0))
| tail_of(X0) = head_of(sK0_skl(X1,tail_of(X0))) ),
inference(resolution,[status(thm)],[f178,f91]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| head_of(sK0_skl(X1,tail_of(X0))) != head_of(X5)
| ~ precedes(X0,X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X0) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X0))
| tail_of(X0) = head_of(sK0_skl(X1,tail_of(X0))) ),
inference(resolution,[status(thm)],[f178,f91]) ).
fof(f184,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ precedes(X3,sK0_skl(head_of(sK1_skl(X1,X2,tail_of(X3))),X0),X6)
| ~ shortest_path(X4,X5,X6)
| ~ path(tail_of(X3),X2,X1)
| X0 = head_of(sK1_skl(X1,X2,tail_of(X3)))
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(X3))))
| ~ vertex(X0)
| X0 = head_of(sK0_skl(head_of(sK1_skl(X1,X2,tail_of(X3))),X0)) ),
inference(resolution,[status(thm)],[f179,f173]) ).
fof(f185,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ precedes(sK1_skl(X3,X2,tail_of(X1)),sK0_skl(head_of(X1),X0),X6)
| ~ shortest_path(X4,X5,X6)
| ~ path(tail_of(X1),X2,X3)
| X0 = head_of(X1)
| ~ vertex(head_of(X1))
| ~ vertex(X0)
| X0 = head_of(sK0_skl(head_of(X1),X0)) ),
inference(resolution,[status(thm)],[f179,f172]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ precedes(X1,sK0_skl(head_of(X1),X0),X4)
| ~ shortest_path(X2,X3,X4)
| X0 = head_of(X1)
| ~ vertex(head_of(X1))
| ~ vertex(X0)
| X0 = head_of(sK0_skl(head_of(X1),X0)) ),
inference(resolution,[status(thm)],[f179,f160]) ).
fof(f187,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ precedes(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X1),X0))),X1,X6)
| ~ shortest_path(X4,X5,X6)
| ~ path(tail_of(sK0_skl(head_of(X1),X0)),X2,X3)
| X0 = head_of(X1)
| ~ vertex(head_of(X1))
| ~ vertex(X0)
| X0 = head_of(sK0_skl(head_of(X1),X0)) ),
inference(resolution,[status(thm)],[f179,f172]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ precedes(sK0_skl(head_of(X1),X0),X1,X4)
| ~ shortest_path(X2,X3,X4)
| X0 = head_of(X1)
| ~ vertex(head_of(X1))
| ~ vertex(X0)
| X0 = head_of(sK0_skl(head_of(X1),X0)) ),
inference(resolution,[status(thm)],[f179,f160]) ).
fof(f190,plain,
! [X0,X1] :
( ~ sQ3_spl
| X1 = tail_of(sK0_skl(X0,X1))
| X1 = X0
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = tail_of(sK0_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f125,f144]) ).
fof(f191,plain,
! [X0,X1] :
( ~ sQ2_spl
| X0 = head_of(sK0_skl(X0,X1))
| X1 = X0
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = tail_of(sK0_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f125,f140]) ).
fof(f195,plain,
! [X0,X1] :
( ~ sQ4_spl
| X1 != head_of(sK0_skl(X1,head_of(X0)))
| ~ sP0_prd(sK0_skl(X1,head_of(X0)),X1,head_of(X0))
| head_of(X0) = X1
| ~ vertex(X1)
| ~ vertex(head_of(X0))
| ~ sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f65,f148]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( sP1_prd(sK1_skl(X1,X2,X3),X1,X2)
| ~ path(X3,X2,X1)
| edge(X0)
| ~ on_path(X0,sK2_skl(X1,X2,X3)) ),
inference(resolution,[status(thm)],[f51,f46]) ).
fof(f198,plain,
! [X0,X1] :
( ~ edge(X1)
| ~ vertex(head_of(X1))
| edge(X0)
| ~ on_path(X0,path_cons(X1,empty)) ),
inference(resolution,[status(thm)],[f51,f163]) ).
fof(f199,plain,
! [X0] :
( edge(X0)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f51,f159]) ).
fof(f200,plain,
! [X0,X1] :
( ~ edge(X1)
| edge(X0)
| ~ on_path(X0,path_cons(X1,empty)) ),
inference(forward_subsumption_resolution,[status(thm)],[f198,f23]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| head_of(X1) != head_of(X5)
| ~ precedes(sK0_skl(X0,tail_of(X1)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(resolution,[status(thm)],[f190,f91]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| head_of(sK0_skl(X0,tail_of(X1))) != head_of(X5)
| ~ precedes(X1,X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(resolution,[status(thm)],[f190,f91]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| head_of(X1) != head_of(X5)
| ~ precedes(sK0_skl(tail_of(X1),X0),X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = head_of(sK0_skl(tail_of(X1),X0))
| X0 = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(X0) ),
inference(resolution,[status(thm)],[f191,f91]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| head_of(sK0_skl(tail_of(X1),X0)) != head_of(X5)
| ~ precedes(X1,X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = head_of(sK0_skl(tail_of(X1),X0))
| X0 = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(X0) ),
inference(resolution,[status(thm)],[f191,f91]) ).
fof(f210,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ sequential(sK0_skl(tail_of(X1),head_of(X0)),X1)
| ~ sP0_prd(sK0_skl(tail_of(X1),head_of(X0)),tail_of(X1),head_of(X0))
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ),
inference(resolution,[status(thm)],[f195,f65]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ3_spl
| head_of(X1) != head_of(X9)
| ~ precedes(sK0_skl(tail_of(X1),tail_of(X0)),X9,X8)
| ~ shortest_path(X6,X7,X8)
| head_of(X0) != head_of(X5)
| ~ precedes(sK0_skl(tail_of(X1),tail_of(X0)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(tail_of(X0)) ),
inference(resolution,[status(thm)],[f201,f91]) ).
fof(f214,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ3_spl
| head_of(sK0_skl(tail_of(X1),tail_of(X0))) != head_of(X9)
| ~ precedes(X1,X9,X8)
| ~ shortest_path(X6,X7,X8)
| head_of(X0) != head_of(X5)
| ~ precedes(sK0_skl(tail_of(X1),tail_of(X0)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(tail_of(X0)) ),
inference(resolution,[status(thm)],[f201,f91]) ).
fof(f219,plain,
! [X0] :
( vertex(X0)
| ~ in_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f57,f159]) ).
fof(f223,plain,
! [X0] :
( in_path(head_of(X0),sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f52,f159]) ).
fof(f227,plain,
! [X0] :
( in_path(tail_of(X0),sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f53,f159]) ).
fof(f229,plain,
! [X0,X1,X2] :
( edge(sK3_skl(X2,sK8_skl))
| ~ in_path(X2,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f58,f199]) ).
fof(f230,definition,
! [X0,X1] :
( sQ5_spl
<=> ~ path(X0,X1,sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f231,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ path(X0,X1,sK8_skl) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
! [X2] :
( sQ6_spl
<=> ( edge(sK3_skl(X2,sK8_skl))
| ~ in_path(X2,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f229,f230,f233]) ).
fof(f237,plain,
( ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f159,f231]) ).
fof(f238,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f237]) ).
fof(f245,plain,
! [X0] :
( vertex(head_of(X0))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f223,f219]) ).
fof(f246,plain,
! [X0,X1,X2] :
( ~ in_path(X0,sK8_skl)
| ~ path(X1,X2,sK8_skl)
| vertex(head_of(sK3_skl(X0,sK8_skl))) ),
inference(resolution,[status(thm)],[f245,f58]) ).
fof(f247,definition,
! [X0] :
( sQ7_spl
<=> ( ~ in_path(X0,sK8_skl)
| vertex(head_of(sK3_skl(X0,sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f246,f247,f230]) ).
fof(f251,plain,
! [X0] :
( vertex(tail_of(X0))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f227,f219]) ).
fof(f252,plain,
! [X0,X1,X2] :
( ~ in_path(X0,sK8_skl)
| ~ path(X1,X2,sK8_skl)
| vertex(tail_of(sK3_skl(X0,sK8_skl))) ),
inference(resolution,[status(thm)],[f251,f58]) ).
fof(f253,definition,
! [X0] :
( sQ8_spl
<=> ( ~ in_path(X0,sK8_skl)
| vertex(tail_of(sK3_skl(X0,sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f252,f253,f230]) ).
fof(f258,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( head_of(X3) != head_of(X7)
| ~ precedes(sK3_skl(tail_of(X3),X2),X7,X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(X3) = head_of(sK3_skl(tail_of(X3),X2))
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f59,f91]) ).
fof(f259,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( head_of(sK3_skl(tail_of(X3),X2)) != head_of(X7)
| ~ precedes(X3,X7,X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(X3) = head_of(sK3_skl(tail_of(X3),X2))
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f59,f91]) ).
fof(f261,plain,
! [X0,X1,X2,X3] :
( head_of(X0) = head_of(sK3_skl(head_of(X0),X1))
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f66,f59]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| head_of(X1) != head_of(X5)
| ~ precedes(sK0_skl(head_of(X0),tail_of(X1)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(head_of(X0),tail_of(X1))
| ~ edge(sK0_skl(head_of(X0),tail_of(X1)))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),tail_of(X1))) ),
inference(resolution,[status(thm)],[f66,f201]) ).
fof(f263,plain,
! [X0,X1] :
( ~ sQ2_spl
| head_of(X0) = head_of(sK0_skl(head_of(X0),X1))
| X1 = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(sK0_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f66,f191]) ).
fof(f264,plain,
! [X0,X1] :
( ~ sQ3_spl
| head_of(X0) = X1
| ~ vertex(X1)
| ~ vertex(head_of(X0))
| X1 = tail_of(sK0_skl(X1,head_of(X0)))
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(sK0_skl(X1,head_of(X0)))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f66,f190]) ).
fof(f265,plain,
! [X0,X1] :
( ~ sQ3_spl
| head_of(X0) = X1
| ~ vertex(X1)
| ~ vertex(head_of(X0))
| head_of(X0) = head_of(sK0_skl(X1,head_of(X0)))
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(sK0_skl(X1,head_of(X0)))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f66,f178]) ).
fof(f266,plain,
! [X0,X1,X2] :
( ~ path(head_of(X0),X2,X1)
| X0 = sK1_skl(X1,X2,head_of(X0))
| ~ edge(sK1_skl(X1,X2,head_of(X0)))
| ~ edge(X0)
| sequential(X0,sK1_skl(X1,X2,head_of(X0))) ),
inference(resolution,[status(thm)],[f66,f45]) ).
fof(f267,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| head_of(sK0_skl(X0,tail_of(X1))) != head_of(X5)
| ~ precedes(X1,X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(X0,tail_of(X1)))
| sequential(sK0_skl(X0,tail_of(X1)),X1) ),
inference(resolution,[status(thm)],[f66,f182]) ).
fof(f268,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| head_of(X1) != head_of(X5)
| ~ precedes(sK0_skl(X0,tail_of(X1)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(X0,tail_of(X1)))
| sequential(sK0_skl(X0,tail_of(X1)),X1) ),
inference(resolution,[status(thm)],[f66,f180]) ).
fof(f269,plain,
! [X0,X1] :
( ~ sQ2_spl
| X1 = tail_of(X0)
| ~ vertex(tail_of(X0))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(tail_of(X0),X1))
| sK0_skl(tail_of(X0),X1) = X0
| ~ edge(X0)
| ~ edge(sK0_skl(tail_of(X0),X1))
| sequential(sK0_skl(tail_of(X0),X1),X0) ),
inference(resolution,[status(thm)],[f66,f179]) ).
fof(f270,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(X1) != head_of(X5)
| ~ precedes(sK0_skl(head_of(X0),tail_of(X1)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(head_of(X0),tail_of(X1))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),tail_of(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f262,f136]) ).
fof(f271,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ1_spl
| head_of(X0) = head_of(sK0_skl(head_of(X0),X1))
| X1 = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f263,f136]) ).
fof(f272,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(X0) = X1
| ~ vertex(X1)
| ~ vertex(head_of(X0))
| X1 = tail_of(sK0_skl(X1,head_of(X0)))
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f264,f136]) ).
fof(f273,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(X0) = X1
| ~ vertex(X1)
| ~ vertex(head_of(X0))
| head_of(X0) = head_of(sK0_skl(X1,head_of(X0)))
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f265,f136]) ).
fof(f274,plain,
! [X0,X1,X2] :
( ~ path(head_of(X0),X2,X1)
| X0 = sK1_skl(X1,X2,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK1_skl(X1,X2,head_of(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f266,f44]) ).
fof(f275,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(sK0_skl(X0,tail_of(X1))) != head_of(X5)
| ~ precedes(X1,X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f267,f136]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(X1) != head_of(X5)
| ~ precedes(sK0_skl(X0,tail_of(X1)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f268,f136]) ).
fof(f277,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ1_spl
| X1 = tail_of(X0)
| ~ vertex(tail_of(X0))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(tail_of(X0),X1))
| sK0_skl(tail_of(X0),X1) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f269,f136]) ).
fof(f278,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| precedes(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f69,f159]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4] :
( sP1_prd(sK1_skl(X2,X3,X4),X2,X3)
| ~ path(X4,X3,X2)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK2_skl(X2,X3,X4))
| ~ on_path(X0,sK2_skl(X2,X3,X4))
| precedes(X0,X1,sK2_skl(X2,X3,X4)) ),
inference(resolution,[status(thm)],[f69,f46]) ).
fof(f280,plain,
! [X0,X1,X2] :
( ~ edge(X2)
| ~ vertex(head_of(X2))
| ~ sequential(X0,X1)
| ~ on_path(X1,path_cons(X2,empty))
| ~ on_path(X0,path_cons(X2,empty))
| precedes(X0,X1,path_cons(X2,empty)) ),
inference(resolution,[status(thm)],[f69,f163]) ).
fof(f281,plain,
! [X0,X1,X2] :
( ~ edge(X2)
| ~ sequential(X0,X1)
| ~ on_path(X1,path_cons(X2,empty))
| ~ on_path(X0,path_cons(X2,empty))
| precedes(X0,X1,path_cons(X2,empty)) ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f23]) ).
fof(f282,plain,
! [X0,X1,X2,X3] :
( ~ sQ2_spl
| ~ shortest_path(X2,X3,sK8_skl)
| X1 = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(X0),X1))
| ~ sequential(sK0_skl(head_of(X0),X1),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl) ),
inference(resolution,[status(thm)],[f278,f188]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X2),X1,X0)
| X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK8_skl) ),
inference(resolution,[status(thm)],[f278,f185]) ).
fof(f284,plain,
! [X0,X1,X2,X3,X4] :
( ~ shortest_path(X3,X4,sK8_skl)
| ~ path(tail_of(X2),X1,X0)
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK8_skl) ),
inference(resolution,[status(thm)],[f278,f176]) ).
fof(f285,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X0),X2,X1)
| X3 = head_of(sK1_skl(X1,X2,tail_of(X0)))
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(X0))))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(sK1_skl(X1,X2,tail_of(X0))),X3))
| ~ sequential(X0,sK0_skl(head_of(sK1_skl(X1,X2,tail_of(X0))),X3))
| ~ on_path(sK0_skl(head_of(sK1_skl(X1,X2,tail_of(X0))),X3),sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f278,f184]) ).
fof(f286,plain,
! [X0,X1,X2,X3] :
( ~ sQ2_spl
| ~ shortest_path(X2,X3,sK8_skl)
| X1 = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(X0),X1))
| ~ sequential(X0,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f278,f186]) ).
fof(f287,plain,
! [X0,X1,X2,X3,X4] :
( ~ shortest_path(X3,X4,sK8_skl)
| ~ path(tail_of(X0),X2,X1)
| ~ sequential(X0,sK1_skl(X1,X2,tail_of(X0)))
| ~ on_path(sK1_skl(X1,X2,tail_of(X0)),sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f278,f177]) ).
fof(f289,plain,
! [X0,X1] :
( ~ precedes(X1,X0,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f278,f161]) ).
fof(f290,plain,
! [X0,X1,X2,X3] :
( on_path(X1,sK8_skl)
| ~ path(X2,X3,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f278,f76]) ).
fof(f291,plain,
! [X0,X1,X2,X3] :
( on_path(X0,sK8_skl)
| ~ path(X2,X3,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f278,f75]) ).
fof(f292,definition,
! [X0,X1] :
( sQ9_spl
<=> ( X1 = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(X0),X1))
| ~ sequential(sK0_skl(head_of(X0),X1),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f295,definition,
! [X2,X3] :
( sQ10_spl
<=> ~ shortest_path(X2,X3,sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f296,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ shortest_path(X0,X1,sK8_skl) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,plain,
( ~ sQ2_spl
| sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f282,f292,f295,f139]) ).
fof(f299,definition,
! [X0,X1,X2,X3] :
( sQ11_spl
<=> ( ~ path(tail_of(X2),X1,X0)
| X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f300,plain,
! [X0,X1,X2,X3] :
( ~ sQ11_spl
| ~ path(tail_of(X2),X1,X0)
| X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK8_skl) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( ~ sQ2_spl
| sQ10_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f283,f299,f295,f139]) ).
fof(f303,definition,
! [X0,X1,X2] :
( sQ12_spl
<=> ( ~ path(tail_of(X2),X1,X0)
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f304,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| ~ path(tail_of(X2),X1,X0)
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK8_skl) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
( sQ10_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f284,f303,f295]) ).
fof(f307,definition,
! [X0,X1,X2,X3] :
( sQ13_spl
<=> ( ~ path(tail_of(X0),X2,X1)
| X3 = head_of(sK1_skl(X1,X2,tail_of(X0)))
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(X0))))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(sK1_skl(X1,X2,tail_of(X0))),X3))
| ~ sequential(X0,sK0_skl(head_of(sK1_skl(X1,X2,tail_of(X0))),X3))
| ~ on_path(sK0_skl(head_of(sK1_skl(X1,X2,tail_of(X0))),X3),sK8_skl)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f308,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ path(tail_of(X0),X2,X1)
| X3 = head_of(sK1_skl(X1,X2,tail_of(X0)))
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(X0))))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(sK1_skl(X1,X2,tail_of(X0))),X3))
| ~ sequential(X0,sK0_skl(head_of(sK1_skl(X1,X2,tail_of(X0))),X3))
| ~ on_path(sK0_skl(head_of(sK1_skl(X1,X2,tail_of(X0))),X3),sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( ~ sQ2_spl
| sQ10_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f285,f307,f295,f139]) ).
fof(f311,definition,
! [X0,X1] :
( sQ14_spl
<=> ( X1 = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(X0),X1))
| ~ sequential(X0,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f312,plain,
! [X0,X1] :
( ~ sQ14_spl
| X1 = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(X0),X1))
| ~ sequential(X0,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( ~ sQ2_spl
| sQ10_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f286,f311,f295,f139]) ).
fof(f315,definition,
! [X0,X1,X2] :
( sQ15_spl
<=> ( ~ path(tail_of(X0),X2,X1)
| ~ sequential(X0,sK1_skl(X1,X2,tail_of(X0)))
| ~ on_path(sK1_skl(X1,X2,tail_of(X0)),sK8_skl)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f316,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| ~ path(tail_of(X0),X2,X1)
| ~ sequential(X0,sK1_skl(X1,X2,tail_of(X0)))
| ~ on_path(sK1_skl(X1,X2,tail_of(X0)),sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( sQ10_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f287,f315,f295]) ).
fof(f320,definition,
! [X0,X1] :
( sQ16_spl
<=> ( on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( sQ5_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f290,f320,f230]) ).
fof(f324,definition,
! [X0,X1] :
( sQ17_spl
<=> ( on_path(X0,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( sQ5_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f291,f324,f230]) ).
fof(f328,plain,
( ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f120,f296]) ).
fof(f329,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f328]) ).
fof(f331,plain,
! [X0,X1] :
( ~ sQ14_spl
| X1 = head_of(X0)
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(X0),X1))
| ~ sequential(X0,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f312,f245]) ).
fof(f335,plain,
! [X0,X1] :
( ~ sequential(X1,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f289,f278]) ).
fof(f336,plain,
! [X0,X1] :
( ~ sequential(X1,X0)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f335]) ).
fof(f337,plain,
! [X0,X1,X2,X3] :
( ~ in_path(X1,sK8_skl)
| ~ path(X2,X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X0)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f336,f58]) ).
fof(f339,definition,
! [X0,X1] :
( sQ18_spl
<=> ( ~ in_path(X1,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X0)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f340,plain,
! [X0,X1] :
( ~ sQ18_spl
| ~ in_path(X1,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X0)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,plain,
( sQ5_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f337,f339,f230]) ).
fof(f344,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| head_of(X3) != head_of(X7)
| ~ precedes(sK3_skl(tail_of(X3),X2),X7,X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f258,f66]) ).
fof(f345,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| head_of(sK3_skl(tail_of(X3),X2)) != head_of(X7)
| ~ precedes(X3,X7,X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f259,f66]) ).
fof(f346,plain,
! [X0,X1,X2,X3,X4] :
( ~ sequential(X3,X4)
| ~ on_path(X4,path_cons(X0,X2))
| ~ on_path(X3,path_cons(X0,X2))
| precedes(X3,X4,path_cons(X0,X2))
| ~ path(head_of(X0),X1,X2)
| ~ edge(X0) ),
inference(resolution,[status(thm)],[f169,f69]) ).
fof(f350,plain,
! [X0,X1,X2,X3] :
( edge(X3)
| ~ on_path(X3,path_cons(X0,X2))
| ~ path(head_of(X0),X1,X2)
| ~ edge(X0) ),
inference(resolution,[status(thm)],[f169,f51]) ).
fof(f359,plain,
! [X0,X1,X2,X3,X4] :
( ~ sequential(X3,X4)
| ~ on_path(X4,sK5_skl(X2,X1,X0))
| ~ on_path(X3,sK5_skl(X2,X1,X0))
| precedes(X3,X4,sK5_skl(X2,X1,X0))
| X0 = X1
| ~ path(X0,X1,X2)
| shortest_path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f87,f69]) ).
fof(f363,plain,
! [X0,X1,X2,X3] :
( edge(X3)
| ~ on_path(X3,sK5_skl(X2,X1,X0))
| X0 = X1
| ~ path(X0,X1,X2)
| shortest_path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f87,f51]) ).
fof(f366,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ precedes(X5,X4,X2)
| ~ sequential(X3,X5)
| ~ on_path(X3,X2)
| precedes(X3,X4,X2)
| ~ path(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f70,f76]) ).
fof(f367,plain,
! [X0,X1,X2,X3,X4] :
( ~ sequential(X4,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| precedes(X2,X3,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f366,f278]) ).
fof(f368,definition,
! [X2,X3,X4] :
( sQ19_spl
<=> ( ~ sequential(X4,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| precedes(X2,X3,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f369,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sequential(X2,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,X2)
| ~ on_path(X0,sK8_skl)
| precedes(X0,X1,sK8_skl) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( sQ19_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f367,f230,f368]) ).
fof(f376,plain,
! [X0,X1,X2,X3,X4] :
( edge(X3)
| sequential(X3,X4)
| ~ precedes(X3,X4,X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f77,f62]) ).
fof(f377,plain,
! [X0,X1,X2,X3,X4] :
( edge(X3)
| ~ precedes(X3,X4,X2)
| ~ path(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f376,f62]) ).
fof(f378,plain,
! [X0,X1,X2,X3] :
( ~ sequential(X3,sK4_skl(X3,X2,sK8_skl))
| ~ on_path(sK4_skl(X3,X2,sK8_skl),sK8_skl)
| ~ on_path(X3,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f78,f289]) ).
fof(f379,plain,
! [X0,X1,X2,X3] :
( ~ precedes(X3,sK4_skl(X3,X2,sK8_skl),sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f78,f161]) ).
fof(f382,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( on_path(sK4_skl(X4,X3,X2),X2)
| ~ path(X5,X6,X2)
| sequential(X3,X4)
| ~ precedes(X3,X4,X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f78,f75]) ).
fof(f383,definition,
! [X2,X3] :
( sQ20_spl
<=> ( ~ sequential(X3,sK4_skl(X3,X2,sK8_skl))
| ~ on_path(sK4_skl(X3,X2,sK8_skl),sK8_skl)
| ~ on_path(X3,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f384,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sequential(X1,sK4_skl(X1,X0,sK8_skl))
| ~ on_path(sK4_skl(X1,X0,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| sequential(X0,X1)
| ~ precedes(X0,X1,sK8_skl) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( sQ20_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f378,f230,f383]) ).
fof(f387,definition,
! [X2,X3] :
( sQ21_spl
<=> ( ~ precedes(X3,sK4_skl(X3,X2,sK8_skl),sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f388,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ precedes(X1,sK4_skl(X1,X0,sK8_skl),sK8_skl)
| sequential(X0,X1)
| ~ precedes(X0,X1,sK8_skl) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f379,f230,f387]) ).
fof(f392,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ19_spl
| ~ shortest_path(X3,X4,sK8_skl)
| X1 = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(X0),X1))
| ~ sequential(X2,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),X1),X2)
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl) ),
inference(resolution,[status(thm)],[f369,f188]) ).
fof(f393,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sQ19_spl
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(X2),X1,X0)
| X4 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(X2),X4))
| ~ sequential(X3,sK0_skl(head_of(X2),X4))
| ~ on_path(sK0_skl(head_of(X2),X4),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),X3)
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK8_skl) ),
inference(resolution,[status(thm)],[f369,f185]) ).
fof(f394,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X2),X1,X0)
| ~ sequential(X3,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),X3)
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK8_skl) ),
inference(resolution,[status(thm)],[f369,f176]) ).
fof(f395,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| ~ sQ19_spl
| sequential(X2,X0)
| ~ precedes(X2,X0,sK8_skl)
| ~ sequential(X1,sK4_skl(X0,X2,sK8_skl))
| ~ on_path(sK4_skl(X0,X2,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f369,f388]) ).
fof(f396,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sQ19_spl
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(X0),X3,X2)
| X4 = head_of(sK1_skl(X2,X3,tail_of(X0)))
| ~ vertex(head_of(sK1_skl(X2,X3,tail_of(X0))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X0))),X4))
| ~ sequential(X1,sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X0))),X4))
| ~ on_path(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X0))),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f369,f184]) ).
fof(f397,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ19_spl
| ~ shortest_path(X3,X4,sK8_skl)
| X2 = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(X2)
| X2 = head_of(sK0_skl(head_of(X0),X2))
| ~ sequential(X1,sK0_skl(head_of(X0),X2))
| ~ on_path(sK0_skl(head_of(X0),X2),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f369,f186]) ).
fof(f398,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X0),X3,X2)
| ~ sequential(X1,sK1_skl(X2,X3,tail_of(X0)))
| ~ on_path(sK1_skl(X2,X3,tail_of(X0)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f369,f177]) ).
fof(f399,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sequential(X2,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f369,f289]) ).
fof(f401,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ precedes(X2,X0,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f369,f161]) ).
fof(f402,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| precedes(X5,X2,sK8_skl)
| ~ path(X3,X4,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f369,f366]) ).
fof(f403,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| on_path(X2,sK8_skl)
| ~ path(X3,X4,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f369,f76]) ).
fof(f404,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| on_path(X0,sK8_skl)
| ~ path(X3,X4,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f369,f75]) ).
fof(f405,definition,
! [X0,X1,X2] :
( sQ22_spl
<=> ( X1 = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(X0),X1))
| ~ sequential(X2,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),X1),X2)
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sQ10_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f392,f405,f295,f368,f139]) ).
fof(f409,definition,
! [X0,X1,X2,X3,X4] :
( sQ23_spl
<=> ( ~ path(tail_of(X2),X1,X0)
| X4 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(X2),X4))
| ~ sequential(X3,sK0_skl(head_of(X2),X4))
| ~ on_path(sK0_skl(head_of(X2),X4),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),X3)
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f410,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ23_spl
| ~ path(tail_of(X2),X1,X0)
| X4 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(X2),X4))
| ~ sequential(X3,sK0_skl(head_of(X2),X4))
| ~ on_path(sK0_skl(head_of(X2),X4),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),X3)
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK8_skl) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sQ10_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f393,f409,f295,f368,f139]) ).
fof(f413,definition,
! [X0,X1,X2,X3] :
( sQ24_spl
<=> ( ~ path(tail_of(X2),X1,X0)
| ~ sequential(X3,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),X3)
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f414,plain,
! [X0,X1,X2,X3] :
( ~ sQ24_spl
| ~ path(tail_of(X2),X1,X0)
| ~ sequential(X3,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),X3)
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK8_skl) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( ~ sQ19_spl
| sQ10_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f394,f413,f295,f368]) ).
fof(f417,definition,
! [X0,X1,X2,X3,X4] :
( sQ25_spl
<=> ( ~ path(tail_of(X0),X3,X2)
| X4 = head_of(sK1_skl(X2,X3,tail_of(X0)))
| ~ vertex(head_of(sK1_skl(X2,X3,tail_of(X0))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X0))),X4))
| ~ sequential(X1,sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X0))),X4))
| ~ on_path(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X0))),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f418,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ path(tail_of(X0),X3,X2)
| X4 = head_of(sK1_skl(X2,X3,tail_of(X0)))
| ~ vertex(head_of(sK1_skl(X2,X3,tail_of(X0))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X0))),X4))
| ~ sequential(X1,sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X0))),X4))
| ~ on_path(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X0))),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sQ10_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f396,f417,f295,f368,f139]) ).
fof(f421,definition,
! [X0,X1,X2] :
( sQ26_spl
<=> ( X2 = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(X2)
| X2 = head_of(sK0_skl(head_of(X0),X2))
| ~ sequential(X1,sK0_skl(head_of(X0),X2))
| ~ on_path(sK0_skl(head_of(X0),X2),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sQ10_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f397,f421,f295,f368,f139]) ).
fof(f425,definition,
! [X0,X1,X2,X3] :
( sQ27_spl
<=> ( ~ path(tail_of(X0),X3,X2)
| ~ sequential(X1,sK1_skl(X2,X3,tail_of(X0)))
| ~ on_path(sK1_skl(X2,X3,tail_of(X0)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f426,plain,
! [X0,X1,X2,X3] :
( ~ sQ27_spl
| ~ path(tail_of(X0),X3,X2)
| ~ sequential(X1,sK1_skl(X2,X3,tail_of(X0)))
| ~ on_path(sK1_skl(X2,X3,tail_of(X0)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( ~ sQ19_spl
| sQ10_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f398,f425,f295,f368]) ).
fof(f429,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sequential(X2,X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f399]) ).
fof(f431,definition,
! [X0,X1,X2,X5] :
( sQ28_spl
<=> ( ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| precedes(X5,X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f432,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| precedes(X3,X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( ~ sQ19_spl
| sQ5_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f402,f431,f230,f368]) ).
fof(f435,definition,
! [X0,X1,X2] :
( sQ29_spl
<=> ( on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ19_spl
| sQ5_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f403,f435,f230,f368]) ).
fof(f439,definition,
! [X0,X1,X2] :
( sQ30_spl
<=> ( on_path(X0,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ19_spl
| sQ5_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f404,f439,f230,f368]) ).
fof(f446,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ in_path(X1,sK8_skl)
| ~ path(X2,X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X0)
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f429,f58]) ).
fof(f447,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ in_path(X1,sK8_skl)
| ~ path(X3,X4,sK8_skl)
| ~ sequential(X2,X0)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f429,f58]) ).
fof(f452,definition,
! [X0,X1] :
( sQ31_spl
<=> ( ~ in_path(X1,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X0)
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ19_spl
| sQ5_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f446,f452,f230,f368]) ).
fof(f456,definition,
! [X0,X1,X2] :
( sQ32_spl
<=> ( ~ in_path(X1,sK8_skl)
| ~ sequential(X2,X0)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f457,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| ~ in_path(X1,sK8_skl)
| ~ sequential(X2,X0)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( ~ sQ19_spl
| sQ5_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f447,f456,f230,f368]) ).
fof(f462,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| sequential(X2,X0)
| ~ precedes(X2,X0,sK8_skl)
| ~ path(X3,X4,sK8_skl)
| ~ sequential(X1,sK4_skl(X0,X2,sK8_skl))
| ~ on_path(sK4_skl(X0,X2,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f401,f78]) ).
fof(f463,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sequential(X3,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f401,f369]) ).
fof(f465,definition,
! [X0,X1,X2] :
( sQ33_spl
<=> ( sequential(X2,X0)
| ~ precedes(X2,X0,sK8_skl)
| ~ sequential(X1,sK4_skl(X0,X2,sK8_skl))
| ~ on_path(sK4_skl(X0,X2,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ19_spl
| sQ5_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f462,f465,f230,f368]) ).
fof(f469,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f463]) ).
fof(f471,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| sequential(X0,X0)
| ~ precedes(X0,X0,sK8_skl)
| ~ path(X1,X2,sK8_skl)
| ~ on_path(sK4_skl(X0,X0,sK8_skl),sK8_skl)
| ~ on_path(X0,sK8_skl)
| sequential(X0,X0)
| ~ precedes(X0,X0,sK8_skl) ),
inference(resolution,[status(thm)],[f384,f77]) ).
fof(f472,definition,
! [X0] :
( sQ34_spl
<=> ( sequential(X0,X0)
| ~ precedes(X0,X0,sK8_skl)
| ~ on_path(sK4_skl(X0,X0,sK8_skl),sK8_skl)
| ~ on_path(X0,sK8_skl)
| sequential(X0,X0)
| ~ precedes(X0,X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ20_spl
| sQ5_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f471,f472,f230,f383]) ).
fof(f477,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sequential(X6,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X1),X0))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X1),X0))),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X1),X0)),X2,X3)
| X0 = head_of(X1)
| ~ vertex(head_of(X1))
| ~ vertex(X0)
| X0 = head_of(sK0_skl(head_of(X1),X0)) ),
inference(resolution,[status(thm)],[f187,f369]) ).
fof(f478,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X1),X0))),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X1),X0))),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X1),X0)),X2,X3)
| X0 = head_of(X1)
| ~ vertex(head_of(X1))
| ~ vertex(X0)
| X0 = head_of(sK0_skl(head_of(X1),X0)) ),
inference(resolution,[status(thm)],[f187,f278]) ).
fof(f479,definition,
! [X0,X1,X2,X3,X6] :
( sQ35_spl
<=> ( ~ sequential(X6,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X1),X0))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X1),X0))),sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X1),X0)),X2,X3)
| X0 = head_of(X1)
| ~ vertex(head_of(X1))
| ~ vertex(X0)
| X0 = head_of(sK0_skl(head_of(X1),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| sQ10_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f477,f479,f295,f139,f368]) ).
fof(f483,definition,
! [X0,X1,X2,X3] :
( sQ36_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X1),X0))),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X1),X0))),sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X1),X0)),X2,X3)
| X0 = head_of(X1)
| ~ vertex(head_of(X1))
| ~ vertex(X0)
| X0 = head_of(sK0_skl(head_of(X1),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ2_spl
| sQ10_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f478,f483,f295,f139]) ).
fof(f489,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ sQ3_spl
| X5 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(head_of(sK0_skl(X0,tail_of(X1))))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X5))
| ~ precedes(X1,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X5),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(resolution,[status(thm)],[f203,f179]) ).
fof(f490,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ3_spl
| tail_of(X1) = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(tail_of(X1))
| tail_of(X1) = head_of(sK0_skl(head_of(X0),tail_of(X1)))
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(tail_of(X1))
| head_of(X0) = tail_of(sK0_skl(head_of(X0),tail_of(X1))) ),
inference(resolution,[status(thm)],[f203,f179]) ).
fof(f491,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ precedes(X1,sK0_skl(X0,tail_of(X1)),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(equality_resolution,[status(thm)],[f203]) ).
fof(f492,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ3_spl
| tail_of(X1) = head_of(sK0_skl(head_of(X0),tail_of(X1)))
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(tail_of(X1))
| head_of(X0) = tail_of(sK0_skl(head_of(X0),tail_of(X1))) ),
inference(duplicate_literals_removal,[status(thm)],[f490]) ).
fof(f494,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sequential(X3,X4)
| ~ on_path(X4,sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| edge(X2)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f377,f369]) ).
fof(f495,plain,
! [X0,X1,X2,X3] :
( ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| edge(X2)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f377,f278]) ).
fof(f496,definition,
! [X2,X3,X4] :
( sQ37_spl
<=> ( ~ sequential(X3,X4)
| ~ on_path(X4,sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| edge(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ19_spl
| sQ37_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f494,f230,f496,f368]) ).
fof(f500,definition,
! [X2,X3] :
( sQ38_spl
<=> ( ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| edge(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( sQ38_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f495,f230,f500]) ).
fof(f504,plain,
! [X0,X1] :
( on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f111,f121]) ).
fof(f505,definition,
( sQ39_spl
<=> on_path(sK6_skl(sK8_skl),sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ39_spl
| on_path(sK6_skl(sK8_skl),sK8_skl) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( sQ39_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f504,f230,f505]) ).
fof(f510,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ sQ39_spl
| ~ sequential(sK6_skl(sK8_skl),X0)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f506,f429]) ).
fof(f513,plain,
! [X0] :
( ~ sQ39_spl
| ~ sequential(sK6_skl(sK8_skl),X0)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f506,f336]) ).
fof(f515,plain,
( ~ sQ39_spl
| vertex(head_of(sK6_skl(sK8_skl))) ),
inference(resolution,[status(thm)],[f506,f245]) ).
fof(f516,plain,
( ~ sQ39_spl
| edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f506,f199]) ).
fof(f517,definition,
! [X0] :
( sQ40_spl
<=> ( ~ sequential(sK6_skl(sK8_skl),X0)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f520,definition,
( sQ41_spl
<=> sequential(sK6_skl(sK8_skl),sK6_skl(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f526,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sequential(X4,X3)
| ~ precedes(X4,X3,X2)
| ~ path(X6,X7,X2)
| ~ precedes(X5,X3,X2)
| ~ sequential(sK4_skl(X3,X4,X2),X5)
| ~ sequential(sK4_skl(X3,X4,X2),X3)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f79,f78]) ).
fof(f527,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sequential(X4,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X2,X2)
| ~ sequential(X2,X3)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f79,f369]) ).
fof(f528,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sequential(X5,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ precedes(X4,X3,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X2,X3)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f79,f369]) ).
fof(f529,plain,
! [X0,X1,X2,X3] :
( ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X2,X2)
| ~ sequential(X2,X3)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f79,f278]) ).
fof(f530,plain,
! [X0,X1,X2,X3,X4] :
( ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ precedes(X4,X3,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X2,X3)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f79,f278]) ).
fof(f532,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sequential(X5,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f79,f369]) ).
fof(f533,plain,
! [X0,X1,X2,X3,X4] :
( ~ sequential(X4,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f79,f278]) ).
fof(f535,definition,
! [X2,X3,X4] :
( sQ42_spl
<=> ( ~ sequential(X4,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X2,X2)
| ~ sequential(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ19_spl
| sQ42_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f527,f230,f535,f368]) ).
fof(f539,definition,
! [X2,X3,X4,X5] :
( sQ43_spl
<=> ( ~ sequential(X5,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ precedes(X4,X3,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ19_spl
| sQ43_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f528,f230,f539,f368]) ).
fof(f543,definition,
! [X2,X3] :
( sQ44_spl
<=> ( ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X2,X2)
| ~ sequential(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( sQ44_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f529,f230,f543]) ).
fof(f547,definition,
! [X2,X3,X4] :
( sQ45_spl
<=> ( ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ precedes(X4,X3,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f548,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ precedes(X2,X1,sK8_skl)
| ~ sequential(X0,X2)
| ~ sequential(X0,X1) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,plain,
( sQ45_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f530,f230,f547]) ).
fof(f551,definition,
! [X2,X3,X4,X5] :
( sQ46_spl
<=> ( ~ sequential(X5,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f552,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sequential(X3,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,X2)
| ~ sequential(X0,X1)
| ~ precedes(X0,X1,sK8_skl) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( ~ sQ19_spl
| sQ46_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f532,f230,f551,f368]) ).
fof(f555,definition,
! [X2,X3,X4] :
( sQ47_spl
<=> ( ~ sequential(X4,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f556,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| ~ sequential(X2,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,X2)
| ~ sequential(X0,X1)
| ~ precedes(X0,X1,sK8_skl) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( sQ47_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f533,f230,f555]) ).
fof(f560,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ precedes(X2,X1,sK8_skl)
| ~ sequential(X0,X2)
| ~ sequential(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f548]) ).
fof(f562,plain,
! [X0,X1,X2] :
( ~ sequential(X2,X0)
| ~ sequential(X1,X2)
| ~ sequential(X0,X1)
| ~ edge(X1)
| ~ edge(X0)
| triangle(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f63]) ).
fof(f570,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ45_spl
| sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ path(X3,X4,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ sequential(X0,X1) ),
inference(resolution,[status(thm)],[f560,f78]) ).
fof(f571,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ45_spl
| ~ sequential(X3,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,X2)
| ~ sequential(X0,X1) ),
inference(resolution,[status(thm)],[f560,f369]) ).
fof(f572,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sequential(X2,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,X2)
| ~ sequential(X0,X1) ),
inference(resolution,[status(thm)],[f560,f278]) ).
fof(f573,definition,
! [X0,X1,X2] :
( sQ48_spl
<=> ( sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ sequential(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f574,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ sequential(X0,X1) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,plain,
( ~ sQ45_spl
| sQ5_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f570,f573,f230,f547]) ).
fof(f577,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ45_spl
| ~ sequential(X3,X1)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,X2)
| ~ sequential(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f571]) ).
fof(f578,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,X2)
| ~ sequential(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f572]) ).
fof(f584,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ4_spl
| ~ sQ2_spl
| ~ sP0_prd(sK0_skl(tail_of(X1),head_of(X0)),tail_of(X1),head_of(X0))
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(X1),head_of(X0)))
| head_of(X1) != head_of(X5)
| ~ precedes(sK0_skl(tail_of(X1),head_of(X0)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(head_of(X0)) ),
inference(resolution,[status(thm)],[f206,f195]) ).
fof(f585,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| head_of(X1) != head_of(X5)
| ~ precedes(sK0_skl(tail_of(X1),X0),X5,X4)
| ~ shortest_path(X2,X3,X4)
| X0 = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(X0) ),
inference(resolution,[status(thm)],[f206,f66]) ).
fof(f586,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ4_spl
| ~ sQ2_spl
| ~ sP0_prd(sK0_skl(tail_of(X1),head_of(X0)),tail_of(X1),head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(X1),head_of(X0)))
| head_of(X1) != head_of(X5)
| ~ precedes(sK0_skl(tail_of(X1),head_of(X0)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(head_of(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f584]) ).
fof(f587,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| head_of(X1) != head_of(X5)
| ~ precedes(sK0_skl(tail_of(X1),X0),X5,X4)
| ~ shortest_path(X2,X3,X4)
| X0 = tail_of(X1)
| ~ vertex(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f585,f24]) ).
fof(f588,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ4_spl
| ~ sQ2_spl
| ~ sP0_prd(sK0_skl(tail_of(X1),head_of(X0)),tail_of(X1),head_of(X0))
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(X1),head_of(X0)))
| head_of(sK0_skl(tail_of(X1),head_of(X0))) != head_of(X5)
| ~ precedes(X1,X5,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(head_of(X0)) ),
inference(resolution,[status(thm)],[f208,f195]) ).
fof(f589,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| head_of(sK0_skl(tail_of(X1),X0)) != head_of(X5)
| ~ precedes(X1,X5,X4)
| ~ shortest_path(X2,X3,X4)
| X0 = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(X0) ),
inference(resolution,[status(thm)],[f208,f66]) ).
fof(f590,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ4_spl
| ~ sQ2_spl
| ~ sP0_prd(sK0_skl(tail_of(X1),head_of(X0)),tail_of(X1),head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(X1),head_of(X0)))
| head_of(sK0_skl(tail_of(X1),head_of(X0))) != head_of(X5)
| ~ precedes(X1,X5,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(head_of(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f588]) ).
fof(f591,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| head_of(sK0_skl(tail_of(X1),X0)) != head_of(X5)
| ~ precedes(X1,X5,X4)
| ~ shortest_path(X2,X3,X4)
| X0 = tail_of(X1)
| ~ vertex(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f589,f24]) ).
fof(f592,plain,
! [X0,X1] :
( on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f112,f121]) ).
fof(f593,definition,
( sQ49_spl
<=> on_path(sK7_skl(sK8_skl),sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ49_spl
| on_path(sK7_skl(sK8_skl),sK8_skl) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( sQ49_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f592,f230,f593]) ).
fof(f598,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ sQ49_spl
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f594,f429]) ).
fof(f601,plain,
! [X0] :
( ~ sQ49_spl
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f594,f336]) ).
fof(f603,plain,
( ~ sQ49_spl
| vertex(head_of(sK7_skl(sK8_skl))) ),
inference(resolution,[status(thm)],[f594,f245]) ).
fof(f604,plain,
( ~ sQ49_spl
| edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f594,f199]) ).
fof(f614,plain,
! [X0,X1] :
( sequential(sK6_skl(sK8_skl),sK7_skl(sK8_skl))
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f113,f121]) ).
fof(f615,definition,
( sQ52_spl
<=> sequential(sK6_skl(sK8_skl),sK7_skl(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ52_spl
| sequential(sK6_skl(sK8_skl),sK7_skl(sK8_skl)) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( sQ52_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f614,f230,f615]) ).
fof(f619,plain,
! [X0,X1,X2,X3] :
( ~ sequential(X3,sK6_skl(X2))
| ~ sequential(sK7_skl(X2),X3)
| ~ sequential(sK6_skl(X2),sK7_skl(X2))
| ~ edge(sK7_skl(X2))
| ~ edge(sK6_skl(X2))
| number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f114,f562]) ).
fof(f620,plain,
! [X0,X1,X2,X3] :
( ~ sequential(X3,sK6_skl(X2))
| ~ sequential(sK7_skl(X2),X3)
| ~ sequential(sK6_skl(X2),sK7_skl(X2))
| ~ edge(sK7_skl(X2))
| number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2)
| ~ path(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f619,f63]) ).
fof(f622,plain,
! [X0,X1,X2] :
( X1 = head_of(sK1_skl(X2,X1,X0))
| vertex(head_of(sK1_skl(X2,X1,X0)))
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f175,f129]) ).
fof(f623,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ39_spl
| ~ sQ52_spl
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl) ),
inference(resolution,[status(thm)],[f616,f510]) ).
fof(f624,plain,
( ~ sQ39_spl
| ~ sQ52_spl
| ~ sequential(sK7_skl(sK8_skl),sK6_skl(sK8_skl))
| ~ on_path(sK7_skl(sK8_skl),sK8_skl) ),
inference(resolution,[status(thm)],[f616,f513]) ).
fof(f625,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ52_spl
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ sequential(X0,sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f616,f578]) ).
fof(f626,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ52_spl
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X0) ),
inference(resolution,[status(thm)],[f616,f578]) ).
fof(f634,definition,
! [X0] :
( sQ53_spl
<=> ( ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f635,plain,
! [X0] :
( ~ sQ53_spl
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,plain,
( ~ sQ19_spl
| ~ sQ39_spl
| ~ sQ52_spl
| sQ53_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f623,f593,f634,f615,f505,f368]) ).
fof(f638,definition,
( sQ54_spl
<=> sequential(sK7_skl(sK8_skl),sK6_skl(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ39_spl
| ~ sQ52_spl
| ~ sQ54_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f624,f593,f638,f615,f505]) ).
fof(f642,definition,
! [X0] :
( sQ55_spl
<=> ( ~ on_path(X0,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ sequential(X0,sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f643,plain,
! [X0] :
( ~ sQ55_spl
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ sequential(X0,sK7_skl(sK8_skl)) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( ~ sQ45_spl
| ~ sQ52_spl
| ~ sQ39_spl
| ~ sQ49_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f625,f642,f593,f505,f615,f547]) ).
fof(f646,definition,
! [X0] :
( sQ56_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f647,plain,
! [X0] :
( ~ sQ56_spl
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X0) ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,plain,
( ~ sQ45_spl
| ~ sQ52_spl
| ~ sQ49_spl
| ~ sQ39_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f626,f646,f505,f593,f615,f547]) ).
fof(f656,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f643,f616]) ).
fof(f657,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| ~ sQ39_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f656,f520,f505,f642,f615]) ).
fof(f663,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ1_spl
| head_of(X0) = head_of(sK0_skl(head_of(X0),X1))
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f271,f23]) ).
fof(f664,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(X1,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2),X5)
| ~ shortest_path(X3,X4,X5)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1)))
| X2 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(X2)
| sK0_skl(X0,tail_of(X1)) = sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2)
| ~ edge(sK0_skl(X0,tail_of(X1)))
| sequential(sK0_skl(X0,tail_of(X1)),sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2)) ),
inference(resolution,[status(thm)],[f663,f203]) ).
fof(f666,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK1_skl(X3,X2,tail_of(X0)),sK0_skl(head_of(X0),X1),X6)
| ~ shortest_path(X4,X5,X6)
| ~ path(tail_of(X0),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f663,f172]) ).
fof(f667,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(X0,sK0_skl(head_of(X0),X1),X4)
| ~ shortest_path(X2,X3,X4)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f663,f160]) ).
fof(f669,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(tail_of(X1))
| head_of(X0) = tail_of(sK0_skl(head_of(X0),tail_of(X1)))
| tail_of(X1) = head_of(X0)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(head_of(X0),tail_of(X1))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),tail_of(X1))) ),
inference(resolution,[status(thm)],[f663,f203]) ).
fof(f670,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X0),X1))),X0,X6)
| ~ shortest_path(X4,X5,X6)
| ~ path(tail_of(sK0_skl(head_of(X0),X1)),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f663,f172]) ).
fof(f671,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK0_skl(head_of(X0),X1),X0,X4)
| ~ shortest_path(X2,X3,X4)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f663,f160]) ).
fof(f672,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(X1,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2),X5)
| ~ shortest_path(X3,X4,X5)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1)))
| X2 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(X2)
| sK0_skl(X0,tail_of(X1)) = sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2)
| sequential(sK0_skl(X0,tail_of(X1)),sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f136]) ).
fof(f676,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| ~ vertex(head_of(X0))
| head_of(X0) = tail_of(sK0_skl(head_of(X0),tail_of(X1)))
| tail_of(X1) = head_of(X0)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(head_of(X0),tail_of(X1))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),tail_of(X1))) ),
inference(duplicate_literals_removal,[status(thm)],[f669]) ).
fof(f677,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| ~ vertex(head_of(X0))
| head_of(X0) = tail_of(sK0_skl(head_of(X0),tail_of(X1)))
| tail_of(X1) = head_of(X0)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(head_of(X0),tail_of(X1))
| ~ edge(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f676,f65]) ).
fof(f684,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ precedes(X2,sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| vertex(head_of(sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0)))
| ~ path(X0,head_of(sK0_skl(X1,tail_of(X2))),X3) ),
inference(resolution,[status(thm)],[f622,f203]) ).
fof(f685,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ precedes(X3,sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0),X7)
| ~ shortest_path(X5,X6,X7)
| ~ path(tail_of(X3),X2,X1)
| vertex(head_of(sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0)))
| ~ path(X0,head_of(sK1_skl(X1,X2,tail_of(X3))),X4) ),
inference(resolution,[status(thm)],[f622,f173]) ).
fof(f686,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ precedes(sK1_skl(X4,X3,tail_of(X1)),sK1_skl(X2,head_of(X1),X0),X7)
| ~ shortest_path(X5,X6,X7)
| ~ path(tail_of(X1),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f622,f172]) ).
fof(f687,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ precedes(X1,sK1_skl(X2,head_of(X1),X0),X5)
| ~ shortest_path(X3,X4,X5)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f622,f160]) ).
fof(f689,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ precedes(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),X1,X7)
| ~ shortest_path(X5,X6,X7)
| ~ path(tail_of(sK1_skl(X2,head_of(X1),X0)),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f622,f172]) ).
fof(f690,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ precedes(sK1_skl(X2,head_of(X1),X0),X1,X5)
| ~ shortest_path(X3,X4,X5)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f622,f160]) ).
fof(f694,plain,
! [X0,X1,X2,X3] :
( X2 = head_of(sK1_skl(X1,X2,X3))
| ~ path(X3,X2,X1)
| edge(X0)
| ~ on_path(X0,sK2_skl(X1,X2,X3)) ),
inference(resolution,[status(thm)],[f197,f129]) ).
fof(f699,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ47_spl
| sequential(X1,X0)
| ~ precedes(X1,X0,sK8_skl)
| ~ path(X3,X4,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK4_skl(X0,X1,sK8_skl),X2)
| ~ sequential(sK4_skl(X0,X1,sK8_skl),X0) ),
inference(resolution,[status(thm)],[f556,f78]) ).
fof(f702,definition,
! [X0,X1,X2] :
( sQ57_spl
<=> ( sequential(X1,X0)
| ~ precedes(X1,X0,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK4_skl(X0,X1,sK8_skl),X2)
| ~ sequential(sK4_skl(X0,X1,sK8_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( ~ sQ47_spl
| sQ5_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f699,f702,f230,f555]) ).
fof(f709,plain,
! [X0,X1,X2,X3] :
( ~ sQ48_spl
| sequential(X0,X1)
| ~ precedes(X0,X1,sK8_skl)
| ~ path(X2,X3,sK8_skl)
| sequential(X0,X1)
| ~ precedes(X0,X1,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,X1) ),
inference(resolution,[status(thm)],[f574,f77]) ).
fof(f710,definition,
! [X0,X1] :
( sQ58_spl
<=> ( sequential(X0,X1)
| ~ precedes(X0,X1,sK8_skl)
| sequential(X0,X1)
| ~ precedes(X0,X1,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ48_spl
| sQ5_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f709,f710,f230,f573]) ).
fof(f714,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(X0) = X1
| ~ vertex(X1)
| X1 = tail_of(sK0_skl(X1,head_of(X0)))
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f272,f23]) ).
fof(f715,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ sQ1_spl
| X1 = sK0_skl(head_of(X1),head_of(X0))
| ~ edge(sK0_skl(head_of(X1),head_of(X0)))
| ~ edge(X1)
| sequential(X1,sK0_skl(head_of(X1),head_of(X0)))
| head_of(X0) = head_of(X1)
| ~ vertex(head_of(X1))
| X0 = sK0_skl(head_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X1),head_of(X0))) ),
inference(resolution,[status(thm)],[f714,f66]) ).
fof(f716,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(X1) != head_of(X5)
| ~ precedes(sK0_skl(tail_of(X1),head_of(X0)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ),
inference(resolution,[status(thm)],[f714,f91]) ).
fof(f718,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(sK0_skl(tail_of(X1),head_of(X0))) != head_of(X5)
| ~ precedes(X1,X5,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ),
inference(resolution,[status(thm)],[f714,f91]) ).
fof(f719,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ sQ1_spl
| X1 = sK0_skl(head_of(X1),head_of(X0))
| ~ edge(sK0_skl(head_of(X1),head_of(X0)))
| ~ edge(X1)
| sequential(X1,sK0_skl(head_of(X1),head_of(X0)))
| head_of(X0) = head_of(X1)
| X0 = sK0_skl(head_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X1),head_of(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f715,f23]) ).
fof(f720,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(X0) = X1
| ~ vertex(X1)
| head_of(X0) = head_of(sK0_skl(X1,head_of(X0)))
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f273,f23]) ).
fof(f721,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(X1,sK0_skl(X2,head_of(sK0_skl(X0,tail_of(X1)))),X5)
| ~ shortest_path(X3,X4,X5)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1)))
| head_of(sK0_skl(X0,tail_of(X1))) = X2
| ~ vertex(X2)
| sK0_skl(X0,tail_of(X1)) = sK0_skl(X2,head_of(sK0_skl(X0,tail_of(X1))))
| ~ edge(sK0_skl(X0,tail_of(X1)))
| sequential(sK0_skl(X0,tail_of(X1)),sK0_skl(X2,head_of(sK0_skl(X0,tail_of(X1))))) ),
inference(resolution,[status(thm)],[f720,f203]) ).
fof(f723,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(sK1_skl(X3,X2,tail_of(X0)),sK0_skl(X1,head_of(X0)),X6)
| ~ shortest_path(X4,X5,X6)
| ~ path(tail_of(X0),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f720,f172]) ).
fof(f724,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(X0,sK0_skl(X1,head_of(X0)),X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f720,f160]) ).
fof(f726,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),X0,X6)
| ~ shortest_path(X4,X5,X6)
| ~ path(tail_of(sK0_skl(X1,head_of(X0))),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f720,f172]) ).
fof(f727,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(sK0_skl(X1,head_of(X0)),X0,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f720,f160]) ).
fof(f728,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(X1,sK0_skl(X2,head_of(sK0_skl(X0,tail_of(X1)))),X5)
| ~ shortest_path(X3,X4,X5)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1)))
| head_of(sK0_skl(X0,tail_of(X1))) = X2
| ~ vertex(X2)
| sK0_skl(X0,tail_of(X1)) = sK0_skl(X2,head_of(sK0_skl(X0,tail_of(X1))))
| sequential(sK0_skl(X0,tail_of(X1)),sK0_skl(X2,head_of(sK0_skl(X0,tail_of(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f721,f136]) ).
fof(f738,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ precedes(X1,sK3_skl(head_of(sK0_skl(X0,tail_of(X1))),X2),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1)))
| ~ in_path(head_of(sK0_skl(X0,tail_of(X1))),X2)
| ~ path(X3,X4,X2)
| sK0_skl(X0,tail_of(X1)) = sK3_skl(head_of(sK0_skl(X0,tail_of(X1))),X2)
| ~ edge(sK3_skl(head_of(sK0_skl(X0,tail_of(X1))),X2))
| ~ edge(sK0_skl(X0,tail_of(X1)))
| sequential(sK0_skl(X0,tail_of(X1)),sK3_skl(head_of(sK0_skl(X0,tail_of(X1))),X2)) ),
inference(resolution,[status(thm)],[f261,f203]) ).
fof(f739,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ precedes(X2,sK3_skl(head_of(sK1_skl(X0,X1,tail_of(X2))),X3),X8)
| ~ shortest_path(X6,X7,X8)
| ~ path(tail_of(X2),X1,X0)
| ~ in_path(head_of(sK1_skl(X0,X1,tail_of(X2))),X3)
| ~ path(X4,X5,X3)
| sK1_skl(X0,X1,tail_of(X2)) = sK3_skl(head_of(sK1_skl(X0,X1,tail_of(X2))),X3)
| ~ edge(sK3_skl(head_of(sK1_skl(X0,X1,tail_of(X2))),X3))
| ~ edge(sK1_skl(X0,X1,tail_of(X2)))
| sequential(sK1_skl(X0,X1,tail_of(X2)),sK3_skl(head_of(sK1_skl(X0,X1,tail_of(X2))),X3)) ),
inference(resolution,[status(thm)],[f261,f173]) ).
fof(f740,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ precedes(sK1_skl(X5,X4,tail_of(X0)),sK3_skl(head_of(X0),X1),X8)
| ~ shortest_path(X6,X7,X8)
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f261,f172]) ).
fof(f741,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ precedes(X0,sK3_skl(head_of(X0),X1),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f261,f160]) ).
fof(f742,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ precedes(sK1_skl(X5,X4,tail_of(sK3_skl(head_of(X0),X1))),X0,X8)
| ~ shortest_path(X6,X7,X8)
| ~ path(tail_of(sK3_skl(head_of(X0),X1)),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f261,f172]) ).
fof(f743,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ precedes(sK3_skl(head_of(X0),X1),X0,X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f261,f160]) ).
fof(f744,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(X1,sK3_skl(head_of(sK0_skl(X0,tail_of(X1))),X2),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1)))
| ~ in_path(head_of(sK0_skl(X0,tail_of(X1))),X2)
| ~ path(X3,X4,X2)
| sK0_skl(X0,tail_of(X1)) = sK3_skl(head_of(sK0_skl(X0,tail_of(X1))),X2)
| ~ edge(sK3_skl(head_of(sK0_skl(X0,tail_of(X1))),X2))
| sequential(sK0_skl(X0,tail_of(X1)),sK3_skl(head_of(sK0_skl(X0,tail_of(X1))),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f738,f136]) ).
fof(f745,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ precedes(X2,sK3_skl(head_of(sK1_skl(X0,X1,tail_of(X2))),X3),X8)
| ~ shortest_path(X6,X7,X8)
| ~ path(tail_of(X2),X1,X0)
| ~ in_path(head_of(sK1_skl(X0,X1,tail_of(X2))),X3)
| ~ path(X4,X5,X3)
| sK1_skl(X0,X1,tail_of(X2)) = sK3_skl(head_of(sK1_skl(X0,X1,tail_of(X2))),X3)
| ~ edge(sK3_skl(head_of(sK1_skl(X0,X1,tail_of(X2))),X3))
| sequential(sK1_skl(X0,X1,tail_of(X2)),sK3_skl(head_of(sK1_skl(X0,X1,tail_of(X2))),X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[f739,f44]) ).
fof(f746,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ49_spl
| ~ sequential(X2,sK7_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f274,f598]) ).
fof(f747,plain,
! [X0,X1] :
( ~ sQ56_spl
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))))
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f274,f647]) ).
fof(f748,plain,
! [X0,X1] :
( ~ sQ53_spl
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK6_skl(sK8_skl))
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f274,f635]) ).
fof(f749,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK7_skl(sK8_skl))
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f274,f601]) ).
fof(f750,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ39_spl
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ path(head_of(sK6_skl(sK8_skl)),X1,X0)
| sK6_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f274,f510]) ).
fof(f751,plain,
! [X0,X1] :
( ~ sQ39_spl
| ~ sequential(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),sK6_skl(sK8_skl))
| ~ on_path(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ path(head_of(sK6_skl(sK8_skl)),X1,X0)
| sK6_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f274,f513]) ).
fof(f762,definition,
( sQ59_spl
<=> edge(sK7_skl(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( sQ59_spl
| ~ edge(sK7_skl(sK8_skl)) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
! [X0,X1,X2] :
( sQ60_spl
<=> ( ~ sequential(X2,sK7_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f768,plain,
( ~ sQ19_spl
| ~ sQ49_spl
| sQ60_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f746,f762,f765,f593,f368]) ).
fof(f769,definition,
! [X0,X1] :
( sQ61_spl
<=> ( ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))))
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f772,plain,
( ~ sQ56_spl
| sQ61_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f747,f762,f769,f646]) ).
fof(f773,definition,
! [X0,X1] :
( sQ62_spl
<=> ( ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK6_skl(sK8_skl))
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( ~ sQ53_spl
| sQ62_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f748,f762,f773,f634]) ).
fof(f777,definition,
! [X0,X1] :
( sQ63_spl
<=> ( ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK7_skl(sK8_skl))
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ49_spl
| sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f749,f762,f777,f593]) ).
fof(f781,definition,
( sQ64_spl
<=> edge(sK6_skl(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( sQ64_spl
| ~ edge(sK6_skl(sK8_skl)) ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,definition,
! [X0,X1,X2] :
( sQ65_spl
<=> ( ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ path(head_of(sK6_skl(sK8_skl)),X1,X0)
| sK6_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( ~ sQ19_spl
| ~ sQ39_spl
| sQ65_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f750,f781,f784,f505,f368]) ).
fof(f788,definition,
! [X0,X1] :
( sQ66_spl
<=> ( ~ sequential(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),sK6_skl(sK8_skl))
| ~ on_path(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ path(head_of(sK6_skl(sK8_skl)),X1,X0)
| sK6_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ39_spl
| sQ66_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f751,f781,f788,f505]) ).
fof(f800,plain,
( sQ59_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f764,f604]) ).
fof(f801,plain,
( sQ59_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f800]) ).
fof(f802,plain,
( sQ64_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f783,f516]) ).
fof(f803,plain,
( sQ64_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f802]) ).
fof(f807,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sequential(X5,sK1_skl(X2,head_of(X1),X0))
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,X5)
| ~ on_path(X1,sK8_skl)
| ~ shortest_path(X3,X4,sK8_skl)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f687,f369]) ).
fof(f808,plain,
! [X0,X1,X2,X3,X4] :
( ~ sequential(X1,sK1_skl(X2,head_of(X1),X0))
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ shortest_path(X3,X4,sK8_skl)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f687,f278]) ).
fof(f809,definition,
! [X0,X1,X2,X5] :
( sQ67_spl
<=> ( ~ sequential(X5,sK1_skl(X2,head_of(X1),X0))
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,X5)
| ~ on_path(X1,sK8_skl)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( ~ sQ19_spl
| sQ10_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f807,f809,f295,f368]) ).
fof(f813,definition,
! [X0,X1,X2] :
( sQ68_spl
<=> ( ~ sequential(X1,sK1_skl(X2,head_of(X1),X0))
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| ~ on_path(X1,sK8_skl)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( sQ10_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f808,f813,f295]) ).
fof(f817,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sequential(X5,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK1_skl(X2,head_of(X1),X0),X5)
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| ~ shortest_path(X3,X4,sK8_skl)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f690,f369]) ).
fof(f818,plain,
! [X0,X1,X2,X3,X4] :
( ~ sequential(sK1_skl(X2,head_of(X1),X0),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| ~ shortest_path(X3,X4,sK8_skl)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f690,f278]) ).
fof(f819,definition,
! [X0,X1,X2,X5] :
( sQ69_spl
<=> ( ~ sequential(X5,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK1_skl(X2,head_of(X1),X0),X5)
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f822,plain,
( ~ sQ19_spl
| sQ10_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f817,f819,f295,f368]) ).
fof(f823,definition,
! [X0,X1,X2] :
( sQ70_spl
<=> ( ~ sequential(sK1_skl(X2,head_of(X1),X0),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( sQ10_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f818,f823,f295]) ).
fof(f828,plain,
! [X0,X1] :
( ~ sQ52_spl
| ~ sQ19_spl
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl) ),
inference(resolution,[status(thm)],[f469,f616]) ).
fof(f834,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f469,f594]) ).
fof(f836,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ sequential(sK6_skl(sK8_skl),X1)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f469,f506]) ).
fof(f837,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ in_path(X1,sK8_skl)
| ~ path(X2,X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X0)
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f469,f58]) ).
fof(f838,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ in_path(X1,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f469,f58]) ).
fof(f843,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ in_path(X2,sK8_skl)
| ~ path(X3,X4,sK8_skl)
| ~ sequential(sK3_skl(X2,sK8_skl),X0)
| ~ sequential(sK3_skl(X2,sK8_skl),sK3_skl(X2,sK8_skl))
| ~ sequential(X1,sK3_skl(X2,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f469,f58]) ).
fof(f862,definition,
! [X0,X1] :
( sQ71_spl
<=> ( ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f863,plain,
! [X0,X1] :
( ~ sQ71_spl
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,plain,
( ~ sQ52_spl
| ~ sQ19_spl
| sQ71_spl
| ~ sQ49_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f828,f505,f593,f862,f368,f615]) ).
fof(f872,definition,
! [X0,X1] :
( sQ72_spl
<=> ( ~ in_path(X1,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X0)
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( ~ sQ19_spl
| sQ5_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f837,f872,f230,f368]) ).
fof(f876,definition,
! [X0,X1,X2,X3] :
( sQ73_spl
<=> ( ~ in_path(X1,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f877,plain,
! [X0,X1,X2,X3] :
( ~ sQ73_spl
| ~ in_path(X1,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,plain,
( ~ sQ19_spl
| sQ5_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f838,f876,f230,f368]) ).
fof(f880,definition,
! [X0,X1] :
( sQ74_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),X0)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f884,definition,
! [X0,X1] :
( sQ75_spl
<=> ( ~ sequential(sK6_skl(sK8_skl),X0)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f888,definition,
! [X0,X1,X2] :
( sQ76_spl
<=> ( ~ in_path(X2,sK8_skl)
| ~ sequential(sK3_skl(X2,sK8_skl),X0)
| ~ sequential(sK3_skl(X2,sK8_skl),sK3_skl(X2,sK8_skl))
| ~ sequential(X1,sK3_skl(X2,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( ~ sQ19_spl
| sQ5_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f843,f888,f230,f368]) ).
fof(f906,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ1_spl
| X1 = tail_of(X0)
| ~ vertex(X1)
| X1 = head_of(sK0_skl(tail_of(X0),X1))
| sK0_skl(tail_of(X0),X1) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f24]) ).
fof(f907,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(X2,sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),X5)
| ~ shortest_path(X3,X4,X5)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| head_of(sK0_skl(X1,tail_of(X2))) = tail_of(X0)
| ~ vertex(head_of(sK0_skl(X1,tail_of(X2))))
| sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),X0) ),
inference(resolution,[status(thm)],[f906,f203]) ).
fof(f908,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(X3,sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),X6)
| ~ shortest_path(X4,X5,X6)
| ~ path(tail_of(X3),X2,X1)
| head_of(sK1_skl(X1,X2,tail_of(X3))) = tail_of(X0)
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(X3))))
| sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),X0) ),
inference(resolution,[status(thm)],[f906,f173]) ).
fof(f909,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK1_skl(X3,X2,tail_of(X1)),sK0_skl(tail_of(X0),head_of(X1)),X6)
| ~ shortest_path(X4,X5,X6)
| ~ path(tail_of(X1),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f906,f172]) ).
fof(f910,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(X1,sK0_skl(tail_of(X0),head_of(X1)),X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f906,f160]) ).
fof(f911,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),X1,X6)
| ~ shortest_path(X4,X5,X6)
| ~ path(tail_of(sK0_skl(tail_of(X0),head_of(X1))),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f906,f172]) ).
fof(f912,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK0_skl(tail_of(X0),head_of(X1)),X1,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f906,f160]) ).
fof(f913,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ1_spl
| sK0_skl(tail_of(X0),tail_of(X1)) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X0),tail_of(X1)))
| sequential(sK0_skl(tail_of(X0),tail_of(X1)),X1)
| tail_of(X1) = tail_of(X0)
| ~ vertex(tail_of(X1))
| sK0_skl(tail_of(X0),tail_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(X1)),X0) ),
inference(resolution,[status(thm)],[f906,f66]) ).
fof(f914,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ1_spl
| sK0_skl(tail_of(X0),tail_of(X1)) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X0),tail_of(X1)))
| sequential(sK0_skl(tail_of(X0),tail_of(X1)),X1)
| tail_of(X1) = tail_of(X0)
| sK0_skl(tail_of(X0),tail_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(X1)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f913,f24]) ).
fof(f929,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sequential(sK4_skl(X3,X2,sK8_skl),X6)
| ~ sequential(sK4_skl(X3,X2,sK8_skl),sK4_skl(X3,X2,sK8_skl))
| ~ sequential(sK4_skl(X3,X2,sK8_skl),sK4_skl(X3,X2,sK8_skl))
| ~ sequential(X6,sK4_skl(X3,X2,sK8_skl))
| ~ on_path(X6,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f382,f469]) ).
fof(f930,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ19_spl
| ~ sequential(sK4_skl(X3,X2,sK8_skl),X6)
| ~ sequential(X8,sK4_skl(X3,X2,sK8_skl))
| ~ sequential(X7,X8)
| ~ on_path(X8,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f382,f469]) ).
fof(f935,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sequential(sK4_skl(X3,X2,sK8_skl),X6)
| ~ sequential(sK4_skl(X3,X2,sK8_skl),sK4_skl(X3,X2,sK8_skl))
| ~ sequential(X6,sK4_skl(X3,X2,sK8_skl))
| ~ on_path(X6,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f382,f429]) ).
fof(f936,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ19_spl
| ~ sequential(sK4_skl(X3,X2,sK8_skl),X6)
| ~ sequential(X7,sK4_skl(X3,X2,sK8_skl))
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f382,f429]) ).
fof(f939,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sequential(sK4_skl(X3,X2,sK8_skl),X6)
| ~ sequential(X6,sK4_skl(X3,X2,sK8_skl))
| ~ on_path(X6,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f382,f336]) ).
fof(f940,plain,
! [X0,X1,X2,X3,X4,X5] :
( vertex(tail_of(sK4_skl(X3,X2,sK8_skl)))
| ~ path(X4,X5,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f382,f251]) ).
fof(f941,plain,
! [X0,X1,X2,X3,X4,X5] :
( vertex(head_of(sK4_skl(X3,X2,sK8_skl)))
| ~ path(X4,X5,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f382,f245]) ).
fof(f942,plain,
! [X0,X1,X2,X3,X4,X5] :
( edge(sK4_skl(X3,X2,sK8_skl))
| ~ path(X4,X5,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f382,f199]) ).
fof(f943,definition,
! [X2,X3,X6] :
( sQ77_spl
<=> ( ~ sequential(sK4_skl(X3,X2,sK8_skl),X6)
| ~ sequential(sK4_skl(X3,X2,sK8_skl),sK4_skl(X3,X2,sK8_skl))
| ~ sequential(sK4_skl(X3,X2,sK8_skl),sK4_skl(X3,X2,sK8_skl))
| ~ sequential(X6,sK4_skl(X3,X2,sK8_skl))
| ~ on_path(X6,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f946,plain,
( ~ sQ19_spl
| sQ77_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f929,f230,f943,f368]) ).
fof(f947,definition,
! [X2,X3,X6,X7,X8] :
( sQ78_spl
<=> ( ~ sequential(sK4_skl(X3,X2,sK8_skl),X6)
| ~ sequential(X8,sK4_skl(X3,X2,sK8_skl))
| ~ sequential(X7,X8)
| ~ on_path(X8,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f950,plain,
( ~ sQ19_spl
| sQ78_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f930,f230,f947,f368]) ).
fof(f955,definition,
! [X2,X3,X6] :
( sQ79_spl
<=> ( ~ sequential(sK4_skl(X3,X2,sK8_skl),X6)
| ~ sequential(sK4_skl(X3,X2,sK8_skl),sK4_skl(X3,X2,sK8_skl))
| ~ sequential(X6,sK4_skl(X3,X2,sK8_skl))
| ~ on_path(X6,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f958,plain,
( ~ sQ19_spl
| sQ79_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f935,f230,f955,f368]) ).
fof(f959,definition,
! [X2,X3,X6,X7] :
( sQ80_spl
<=> ( ~ sequential(sK4_skl(X3,X2,sK8_skl),X6)
| ~ sequential(X7,sK4_skl(X3,X2,sK8_skl))
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ19_spl
| sQ80_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f936,f230,f959,f368]) ).
fof(f965,definition,
! [X2,X3,X6] :
( sQ81_spl
<=> ( ~ sequential(sK4_skl(X3,X2,sK8_skl),X6)
| ~ sequential(X6,sK4_skl(X3,X2,sK8_skl))
| ~ on_path(X6,sK8_skl)
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( sQ81_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f939,f230,f965]) ).
fof(f969,definition,
! [X2,X3] :
( sQ82_spl
<=> ( vertex(tail_of(sK4_skl(X3,X2,sK8_skl)))
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( sQ82_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f940,f230,f969]) ).
fof(f973,definition,
! [X2,X3] :
( sQ83_spl
<=> ( vertex(head_of(sK4_skl(X3,X2,sK8_skl)))
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f976,plain,
( sQ83_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f941,f230,f973]) ).
fof(f977,definition,
! [X2,X3] :
( sQ84_spl
<=> ( edge(sK4_skl(X3,X2,sK8_skl))
| sequential(X2,X3)
| ~ precedes(X2,X3,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( sQ84_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f942,f230,f977]) ).
fof(f983,plain,
! [X0,X1,X2,X3,X4] :
( X3 = head_of(sK1_skl(X2,X3,X4))
| ~ path(X4,X3,X2)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK2_skl(X2,X3,X4))
| ~ on_path(X0,sK2_skl(X2,X3,X4))
| precedes(X0,X1,sK2_skl(X2,X3,X4)) ),
inference(resolution,[status(thm)],[f279,f129]) ).
fof(f987,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ shortest_path(X5,X6,path_cons(X3,empty))
| ~ path(tail_of(X2),X1,X0)
| X4 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(X2),X4))
| ~ edge(X3)
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),sK0_skl(head_of(X2),X4))
| ~ on_path(sK0_skl(head_of(X2),X4),path_cons(X3,empty))
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),path_cons(X3,empty)) ),
inference(resolution,[status(thm)],[f281,f185]) ).
fof(f1012,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ2_spl
| ~ shortest_path(X7,X8,path_cons(X0,X2))
| ~ path(tail_of(X5),X4,X3)
| X6 = head_of(X5)
| ~ vertex(head_of(X5))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(X5),X6))
| ~ sequential(sK1_skl(X3,X4,tail_of(X5)),sK0_skl(head_of(X5),X6))
| ~ on_path(sK0_skl(head_of(X5),X6),path_cons(X0,X2))
| ~ on_path(sK1_skl(X3,X4,tail_of(X5)),path_cons(X0,X2))
| ~ path(head_of(X0),X1,X2)
| ~ edge(X0) ),
inference(resolution,[status(thm)],[f346,f185]) ).
fof(f1031,plain,
! [X0,X1,X2,X3] :
( ~ sQ21_spl
| ~ sQ19_spl
| sequential(X1,X0)
| ~ precedes(X1,X0,sK8_skl)
| ~ path(X2,X3,sK8_skl)
| sequential(X1,X0)
| ~ precedes(X1,X0,sK8_skl)
| ~ on_path(sK4_skl(X0,X1,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f395,f77]) ).
fof(f1032,definition,
! [X0,X1] :
( sQ85_spl
<=> ( sequential(X1,X0)
| ~ precedes(X1,X0,sK8_skl)
| sequential(X1,X0)
| ~ precedes(X1,X0,sK8_skl)
| ~ on_path(sK4_skl(X0,X1,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1035,plain,
( ~ sQ21_spl
| ~ sQ19_spl
| sQ5_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1031,f1032,f230,f368,f387]) ).
fof(f1037,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f863,f274]) ).
fof(f1039,definition,
! [X0,X1,X2] :
( sQ86_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1042,plain,
( ~ sQ71_spl
| ~ sQ59_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f1037,f1039,f762,f862]) ).
fof(f1048,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sequential(X4,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(resolution,[status(thm)],[f491,f369]) ).
fof(f1049,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sequential(X1,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(resolution,[status(thm)],[f491,f278]) ).
fof(f1051,definition,
! [X0,X1,X4] :
( sQ87_spl
<=> ( ~ sequential(X4,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sequential(X2,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sQ10_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f1048,f1051,f295,f143,f368]) ).
fof(f1055,definition,
! [X0,X1] :
( sQ88_spl
<=> ( ~ sequential(X1,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1056,plain,
! [X0,X1] :
( ~ sQ88_spl
| ~ sequential(X1,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(component_clause,[status(thm)],[f1055]) ).
fof(f1058,plain,
( ~ sQ3_spl
| sQ10_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1049,f1055,f295,f143]) ).
fof(f1059,plain,
! [X0,X1] :
( ~ sQ88_spl
| ~ sequential(X1,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1056,f251]) ).
fof(f1060,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sequential(X2,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1052,f251]) ).
fof(f1061,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ in_path(head_of(sK3_skl(tail_of(X3),X2)),X7)
| ~ path(X8,X9,X7)
| sK3_skl(tail_of(X3),X2) = sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),X7)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),X7))
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),X7))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),X7),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f345,f261]) ).
fof(f1062,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ1_spl
| X7 = head_of(sK3_skl(tail_of(X3),X2))
| ~ vertex(X7)
| sK3_skl(tail_of(X3),X2) = sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X7)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X7))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X7),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f345,f663]) ).
fof(f1063,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(sK3_skl(tail_of(X3),X2)) = X7
| ~ vertex(X7)
| sK3_skl(tail_of(X3),X2) = sK0_skl(X7,head_of(sK3_skl(tail_of(X3),X2)))
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),sK0_skl(X7,head_of(sK3_skl(tail_of(X3),X2))))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK0_skl(X7,head_of(sK3_skl(tail_of(X3),X2))),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f345,f720]) ).
fof(f1064,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( vertex(head_of(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X8)))
| ~ path(X8,head_of(sK3_skl(tail_of(X3),X2)),X7)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X8),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f345,f622]) ).
fof(f1065,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ1_spl
| head_of(sK3_skl(tail_of(X3),X2)) = tail_of(X7)
| ~ vertex(head_of(sK3_skl(tail_of(X3),X2)))
| sK0_skl(tail_of(X7),head_of(sK3_skl(tail_of(X3),X2))) = X7
| ~ edge(X7)
| sequential(sK0_skl(tail_of(X7),head_of(sK3_skl(tail_of(X3),X2))),X7)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK0_skl(tail_of(X7),head_of(sK3_skl(tail_of(X3),X2))),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f345,f906]) ).
fof(f1066,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| X7 = head_of(sK3_skl(tail_of(X3),X2))
| ~ vertex(head_of(sK3_skl(tail_of(X3),X2)))
| ~ vertex(X7)
| X7 = head_of(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X7))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X7),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f345,f179]) ).
fof(f1067,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK3_skl(tail_of(X3),X2),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(equality_resolution,[status(thm)],[f345]) ).
fof(f1068,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ in_path(head_of(sK3_skl(tail_of(X3),X2)),X7)
| ~ path(X8,X9,X7)
| sK3_skl(tail_of(X3),X2) = sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),X7)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),X7))
| sequential(sK3_skl(tail_of(X3),X2),sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),X7))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),X7),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(duplicate_literals_removal,[status(thm)],[f1061]) ).
fof(f1069,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ1_spl
| X7 = head_of(sK3_skl(tail_of(X3),X2))
| ~ vertex(X7)
| sK3_skl(tail_of(X3),X2) = sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X7)
| sequential(sK3_skl(tail_of(X3),X2),sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X7))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X7),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(duplicate_literals_removal,[status(thm)],[f1062]) ).
fof(f1070,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(sK3_skl(tail_of(X3),X2)) = X7
| ~ vertex(X7)
| sK3_skl(tail_of(X3),X2) = sK0_skl(X7,head_of(sK3_skl(tail_of(X3),X2)))
| sequential(sK3_skl(tail_of(X3),X2),sK0_skl(X7,head_of(sK3_skl(tail_of(X3),X2))))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK0_skl(X7,head_of(sK3_skl(tail_of(X3),X2))),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(duplicate_literals_removal,[status(thm)],[f1063]) ).
fof(f1071,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ1_spl
| head_of(sK3_skl(tail_of(X3),X2)) = tail_of(X7)
| sK0_skl(tail_of(X7),head_of(sK3_skl(tail_of(X3),X2))) = X7
| ~ edge(X7)
| sequential(sK0_skl(tail_of(X7),head_of(sK3_skl(tail_of(X3),X2))),X7)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK0_skl(tail_of(X7),head_of(sK3_skl(tail_of(X3),X2))),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f23]) ).
fof(f1072,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| X7 = head_of(sK3_skl(tail_of(X3),X2))
| ~ vertex(X7)
| X7 = head_of(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X7))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X7),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1066,f23]) ).
fof(f1119,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ2_spl
| ~ shortest_path(X7,X8,sK5_skl(X2,X1,X0))
| ~ path(tail_of(X5),X4,X3)
| X6 = head_of(X5)
| ~ vertex(head_of(X5))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(X5),X6))
| ~ sequential(sK1_skl(X3,X4,tail_of(X5)),sK0_skl(head_of(X5),X6))
| ~ on_path(sK0_skl(head_of(X5),X6),sK5_skl(X2,X1,X0))
| ~ on_path(sK1_skl(X3,X4,tail_of(X5)),sK5_skl(X2,X1,X0))
| X0 = X1
| ~ path(X0,X1,X2)
| shortest_path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f359,f185]) ).
fof(f1145,plain,
! [X0,X1] :
( ~ sQ52_spl
| ~ sQ19_spl
| ~ sQ45_spl
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X0) ),
inference(resolution,[status(thm)],[f577,f616]) ).
fof(f1151,plain,
! [X0,X1] :
( ~ sQ52_spl
| ~ sQ19_spl
| ~ sQ45_spl
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ sequential(X0,X1) ),
inference(resolution,[status(thm)],[f577,f616]) ).
fof(f1155,plain,
! [X0,X1] :
( ~ sQ52_spl
| ~ sQ19_spl
| ~ sQ45_spl
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,X1)
| ~ sequential(X0,sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f577,f616]) ).
fof(f1162,definition,
! [X0,X1] :
( sQ89_spl
<=> ( ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1163,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X0) ),
inference(component_clause,[status(thm)],[f1162]) ).
fof(f1165,plain,
( ~ sQ52_spl
| ~ sQ19_spl
| ~ sQ45_spl
| ~ sQ49_spl
| ~ sQ39_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1145,f1162,f505,f593,f547,f368,f615]) ).
fof(f1170,definition,
! [X0,X1] :
( sQ90_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ sequential(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1171,plain,
! [X0,X1] :
( ~ sQ90_spl
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ sequential(X0,X1) ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,plain,
( ~ sQ52_spl
| ~ sQ19_spl
| ~ sQ45_spl
| ~ sQ49_spl
| ~ sQ39_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1151,f1170,f505,f593,f547,f368,f615]) ).
fof(f1176,definition,
! [X0,X1] :
( sQ91_spl
<=> ( ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,X1)
| ~ sequential(X0,sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1177,plain,
! [X0,X1] :
( ~ sQ91_spl
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,X1)
| ~ sequential(X0,sK7_skl(sK8_skl)) ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1179,plain,
( ~ sQ52_spl
| ~ sQ19_spl
| ~ sQ45_spl
| ~ sQ39_spl
| ~ sQ49_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f1155,f1176,f593,f505,f547,f368,f615]) ).
fof(f1182,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X0) ),
inference(resolution,[status(thm)],[f1163,f274]) ).
fof(f1184,definition,
! [X0,X1,X2] :
( sQ92_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ sequential(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1187,plain,
( ~ sQ89_spl
| ~ sQ59_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1182,f1184,f762,f1162]) ).
fof(f1191,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ sequential(X0,sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))) ),
inference(resolution,[status(thm)],[f1171,f274]) ).
fof(f1193,definition,
! [X0,X1,X2] :
( sQ93_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ sequential(X0,sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1196,plain,
( ~ sQ90_spl
| ~ sQ59_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1191,f1193,f762,f1170]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ91_spl
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X0) ),
inference(resolution,[status(thm)],[f1177,f616]) ).
fof(f1198,plain,
( ~ sQ52_spl
| ~ sQ91_spl
| ~ sQ39_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1197,f517,f505,f1176,f615]) ).
fof(f1199,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ46_spl
| sequential(X1,X0)
| ~ precedes(X1,X0,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK4_skl(X0,X1,sK8_skl),X2)
| ~ sequential(sK4_skl(X0,X1,sK8_skl),X0) ),
inference(resolution,[status(thm)],[f552,f78]) ).
fof(f1202,definition,
! [X0,X1,X2,X3] :
( sQ94_spl
<=> ( sequential(X1,X0)
| ~ precedes(X1,X0,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK4_skl(X0,X1,sK8_skl),X2)
| ~ sequential(sK4_skl(X0,X1,sK8_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1205,plain,
( ~ sQ46_spl
| sQ5_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f1199,f1202,f230,f551]) ).
fof(f1208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sequential(sK1_skl(X5,X4,tail_of(X0)),sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK5_skl(X8,X9,X10))
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),sK5_skl(X8,X9,X10))
| X10 = X9
| ~ path(X10,X9,X8)
| shortest_path(X10,X9,X8)
| ~ shortest_path(X6,X7,sK5_skl(X8,X9,X10))
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f740,f359]) ).
fof(f1209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ edge(X8)
| ~ sequential(sK1_skl(X5,X4,tail_of(X0)),sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),path_cons(X8,empty))
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),path_cons(X8,empty))
| ~ shortest_path(X6,X7,path_cons(X8,empty))
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f740,f281]) ).
fof(f1210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sequential(sK1_skl(X5,X4,tail_of(X0)),sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),path_cons(X8,X9))
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),path_cons(X8,X9))
| ~ path(head_of(X8),X10,X9)
| ~ edge(X8)
| ~ shortest_path(X6,X7,path_cons(X8,X9))
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f740,f346]) ).
fof(f1211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ19_spl
| ~ sequential(X8,sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(sK1_skl(X5,X4,tail_of(X0)),X8)
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),sK8_skl)
| ~ shortest_path(X6,X7,sK8_skl)
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f740,f369]) ).
fof(f1212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sequential(sK1_skl(X5,X4,tail_of(X0)),sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),sK8_skl)
| ~ shortest_path(X6,X7,sK8_skl)
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f740,f278]) ).
fof(f1213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sequential(sK1_skl(X5,X4,tail_of(X0)),sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK5_skl(X8,X9,X10))
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),sK5_skl(X8,X9,X10))
| X10 = X9
| ~ path(X10,X9,X8)
| shortest_path(X10,X9,X8)
| ~ shortest_path(X6,X7,sK5_skl(X8,X9,X10))
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1208,f363]) ).
fof(f1214,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ edge(X8)
| ~ sequential(sK1_skl(X5,X4,tail_of(X0)),sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),path_cons(X8,empty))
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),path_cons(X8,empty))
| ~ shortest_path(X6,X7,path_cons(X8,empty))
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1209,f200]) ).
fof(f1215,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sequential(sK1_skl(X5,X4,tail_of(X0)),sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),path_cons(X8,X9))
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),path_cons(X8,X9))
| ~ path(head_of(X8),X10,X9)
| ~ edge(X8)
| ~ shortest_path(X6,X7,path_cons(X8,X9))
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1210,f350]) ).
fof(f1216,definition,
! [X0,X1,X2,X3,X4,X5,X8] :
( sQ95_spl
<=> ( ~ sequential(X8,sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(sK1_skl(X5,X4,tail_of(X0)),X8)
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),sK8_skl)
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1217,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ95_spl
| ~ sequential(X6,sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X5,X4,tail_of(X0)),X6)
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),sK8_skl)
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(component_clause,[status(thm)],[f1216]) ).
fof(f1219,plain,
( ~ sQ19_spl
| sQ10_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1211,f1216,f295,f368]) ).
fof(f1220,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ96_spl
<=> ( ~ sequential(sK1_skl(X5,X4,tail_of(X0)),sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),sK8_skl)
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1221,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ96_spl
| ~ sequential(sK1_skl(X5,X4,tail_of(X0)),sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),sK8_skl)
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(component_clause,[status(thm)],[f1220]) ).
fof(f1223,plain,
( sQ10_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f1212,f1220,f295]) ).
fof(f1224,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ95_spl
| ~ sequential(X6,sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X5,X4,tail_of(X0)),X6)
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),sK8_skl)
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1217,f199]) ).
fof(f1225,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ96_spl
| ~ sequential(sK1_skl(X5,X4,tail_of(X0)),sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(sK1_skl(X5,X4,tail_of(X0)),sK8_skl)
| ~ path(tail_of(X0),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1221,f199]) ).
fof(f1229,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sequential(X6,sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X0,X6)
| ~ on_path(X0,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f741,f369]) ).
fof(f1230,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sequential(X0,sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f741,f278]) ).
fof(f1231,definition,
! [X0,X1,X2,X3,X6] :
( sQ97_spl
<=> ( ~ sequential(X6,sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X0,X6)
| ~ on_path(X0,sK8_skl)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1234,plain,
( ~ sQ19_spl
| sQ10_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1229,f1231,f295,f368]) ).
fof(f1235,definition,
! [X0,X1,X2,X3] :
( sQ98_spl
<=> ( ~ sequential(X0,sK3_skl(head_of(X0),X1))
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1238,plain,
( sQ10_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f1230,f1235,f295]) ).
fof(f1253,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( sequential(sK4_skl(X3,X4,X2),X5)
| ~ precedes(sK4_skl(X3,X4,X2),X5,X6)
| ~ path(X9,X10,X6)
| sequential(X4,X3)
| ~ precedes(X4,X3,X2)
| ~ path(X7,X8,X2)
| ~ precedes(sK4_skl(X5,sK4_skl(X3,X4,X2),X6),X3,X2)
| ~ sequential(sK4_skl(X3,X4,X2),X3)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f526,f77]) ).
fof(f1256,plain,
! [X0,X1,X2,X3] :
( ~ sequential(X3,sK6_skl(X2))
| ~ sequential(sK7_skl(X2),X3)
| ~ sequential(sK6_skl(X2),sK7_skl(X2))
| number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2)
| ~ path(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f620,f63]) ).
fof(f1257,plain,
! [X0,X1,X2] :
( ~ sequential(X2,sK6_skl(sK8_skl))
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ sequential(sK6_skl(sK8_skl),sK7_skl(sK8_skl))
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1256,f121]) ).
fof(f1258,definition,
! [X2] :
( sQ99_spl
<=> ( ~ sequential(X2,sK6_skl(sK8_skl))
| ~ sequential(sK7_skl(sK8_skl),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ99_spl
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ sequential(sK7_skl(sK8_skl),X0) ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1261,plain,
( sQ99_spl
| ~ sQ52_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f1257,f230,f615,f1258]) ).
fof(f1262,plain,
! [X0,X1] :
( ~ sQ99_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f1259,f274]) ).
fof(f1264,definition,
! [X0,X1] :
( sQ100_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK6_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( ~ sQ99_spl
| ~ sQ59_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f1262,f1264,f762,f1258]) ).
fof(f1268,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ19_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),X3)
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f834,f274]) ).
fof(f1270,definition,
! [X0,X1,X2,X3] :
( sQ101_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),X3)
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1273,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ59_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1268,f1270,f762,f368,f593]) ).
fof(f1275,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| ~ sQ19_spl
| ~ path(head_of(sK6_skl(sK8_skl)),X2,X1)
| sK6_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),X3)
| ~ on_path(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f836,f274]) ).
fof(f1278,definition,
! [X0,X1,X2,X3] :
( sQ102_spl
<=> ( ~ path(head_of(sK6_skl(sK8_skl)),X2,X1)
| sK6_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl)))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),X3)
| ~ on_path(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1281,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ64_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1275,f1278,f781,f368,f505]) ).
fof(f1285,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ19_spl
| ~ sequential(X8,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(sK1_skl(X5,X4,tail_of(sK3_skl(head_of(X0),X1))),X8)
| ~ on_path(sK1_skl(X5,X4,tail_of(sK3_skl(head_of(X0),X1))),sK8_skl)
| ~ shortest_path(X6,X7,sK8_skl)
| ~ path(tail_of(sK3_skl(head_of(X0),X1)),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f742,f369]) ).
fof(f1286,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sequential(sK1_skl(X5,X4,tail_of(sK3_skl(head_of(X0),X1))),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK1_skl(X5,X4,tail_of(sK3_skl(head_of(X0),X1))),sK8_skl)
| ~ shortest_path(X6,X7,sK8_skl)
| ~ path(tail_of(sK3_skl(head_of(X0),X1)),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f742,f278]) ).
fof(f1290,definition,
! [X0,X1,X2,X3,X4,X5,X8] :
( sQ103_spl
<=> ( ~ sequential(X8,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(sK1_skl(X5,X4,tail_of(sK3_skl(head_of(X0),X1))),X8)
| ~ on_path(sK1_skl(X5,X4,tail_of(sK3_skl(head_of(X0),X1))),sK8_skl)
| ~ path(tail_of(sK3_skl(head_of(X0),X1)),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
( ~ sQ19_spl
| sQ10_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f1285,f1290,f295,f368]) ).
fof(f1294,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ104_spl
<=> ( ~ sequential(sK1_skl(X5,X4,tail_of(sK3_skl(head_of(X0),X1))),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK1_skl(X5,X4,tail_of(sK3_skl(head_of(X0),X1))),sK8_skl)
| ~ path(tail_of(sK3_skl(head_of(X0),X1)),X4,X5)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1297,plain,
( sQ10_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f1286,f1294,f295]) ).
fof(f1303,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sequential(X6,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK3_skl(head_of(X0),X1),X6)
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f743,f369]) ).
fof(f1304,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sequential(sK3_skl(head_of(X0),X1),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f743,f278]) ).
fof(f1308,definition,
! [X0,X1,X2,X3,X6] :
( sQ105_spl
<=> ( ~ sequential(X6,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK3_skl(head_of(X0),X1),X6)
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1311,plain,
( ~ sQ19_spl
| sQ10_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f1303,f1308,f295,f368]) ).
fof(f1312,definition,
! [X0,X1,X2,X3] :
( sQ106_spl
<=> ( ~ sequential(sK3_skl(head_of(X0),X1),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK3_skl(head_of(X0),X1),sK8_skl)
| ~ in_path(head_of(X0),X1)
| ~ path(X2,X3,X1)
| X0 = sK3_skl(head_of(X0),X1)
| ~ edge(sK3_skl(head_of(X0),X1))
| ~ edge(X0)
| sequential(X0,sK3_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1315,plain,
( sQ10_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1304,f1312,f295]) ).
fof(f1338,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ28_spl
| ~ shortest_path(X6,X7,sK8_skl)
| ~ in_path(head_of(X2),X3)
| ~ path(X4,X5,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(sK3_skl(head_of(X2),X3),X0)
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f743]) ).
fof(f1339,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ sQ28_spl
| ~ shortest_path(X4,X5,sK8_skl)
| X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(sK0_skl(head_of(X2),X3),X0)
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f188]) ).
fof(f1340,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ28_spl
| ~ shortest_path(X5,X6,sK8_skl)
| vertex(head_of(sK1_skl(X3,head_of(X2),X4)))
| ~ path(X4,head_of(X2),X3)
| ~ sequential(sK1_skl(X3,head_of(X2),X4),X0)
| ~ on_path(sK1_skl(X3,head_of(X2),X4),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f690]) ).
fof(f1341,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ28_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(sK3_skl(head_of(X2),X5)),X4,X3)
| ~ in_path(head_of(X2),X5)
| ~ path(X6,X7,X5)
| X2 = sK3_skl(head_of(X2),X5)
| ~ edge(sK3_skl(head_of(X2),X5))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X5))
| ~ sequential(sK1_skl(X3,X4,tail_of(sK3_skl(head_of(X2),X5))),X0)
| ~ on_path(sK1_skl(X3,X4,tail_of(sK3_skl(head_of(X2),X5))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f742]) ).
fof(f1342,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ28_spl
| ~ shortest_path(X6,X7,sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X2),X5)),X4,X3)
| X5 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(X2),X5))
| ~ sequential(sK1_skl(X3,X4,tail_of(sK0_skl(head_of(X2),X5))),X0)
| ~ on_path(sK1_skl(X3,X4,tail_of(sK0_skl(head_of(X2),X5))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f187]) ).
fof(f1343,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ28_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(X2),X5,X4)
| ~ in_path(head_of(X2),X3)
| ~ path(X6,X7,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X4,X5,tail_of(X2)),X0)
| ~ on_path(sK1_skl(X4,X5,tail_of(X2)),sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(X2),X3))
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f740]) ).
fof(f1344,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ28_spl
| ~ shortest_path(X6,X7,sK8_skl)
| ~ path(tail_of(X2),X5,X4)
| X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X4,X5,tail_of(X2)),X0)
| ~ on_path(sK1_skl(X4,X5,tail_of(X2)),sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f185]) ).
fof(f1345,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ28_spl
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(X2),X4,X3)
| ~ sequential(sK1_skl(X3,X4,tail_of(X2)),X0)
| ~ on_path(sK1_skl(X3,X4,tail_of(X2)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f176]) ).
fof(f1346,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ28_spl
| ~ shortest_path(X6,X7,sK8_skl)
| ~ in_path(head_of(X2),X3)
| ~ path(X4,X5,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(X2),X3))
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f741]) ).
fof(f1347,plain,
! [X0,X1,X2,X3] :
( ~ sQ21_spl
| ~ sQ28_spl
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(sK4_skl(X2,X3,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f388]) ).
fof(f1348,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ28_spl
| ~ shortest_path(X6,X7,sK8_skl)
| ~ path(tail_of(X4),X3,X2)
| X5 = head_of(sK1_skl(X2,X3,tail_of(X4)))
| ~ vertex(head_of(sK1_skl(X2,X3,tail_of(X4))))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5))
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5))
| ~ on_path(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f184]) ).
fof(f1349,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ sQ28_spl
| ~ shortest_path(X4,X5,sK8_skl)
| X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f186]) ).
fof(f1350,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ28_spl
| ~ shortest_path(X4,X5,sK8_skl)
| tail_of(X3) = X2
| ~ vertex(X2)
| ~ vertex(tail_of(X3))
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,tail_of(X3)))
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f491]) ).
fof(f1351,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ28_spl
| ~ shortest_path(X5,X6,sK8_skl)
| vertex(head_of(sK1_skl(X2,head_of(X3),X4)))
| ~ path(X4,head_of(X3),X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(X3),X4))
| ~ on_path(sK1_skl(X2,head_of(X3),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f687]) ).
fof(f1352,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ28_spl
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(X4),X3,X2)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,X3,tail_of(X4)))
| ~ on_path(sK1_skl(X2,X3,tail_of(X4)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f177]) ).
fof(f1355,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(X2,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f560]) ).
fof(f1356,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ28_spl
| ~ sequential(X4,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f401]) ).
fof(f1359,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ precedes(X2,X3,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f161]) ).
fof(f1360,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| ~ sequential(X3,X3)
| ~ sequential(X3,X2)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f79]) ).
fof(f1361,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ28_spl
| ~ sequential(X6,X3)
| ~ sequential(X6,X2)
| ~ precedes(X6,X2,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f79]) ).
fof(f1363,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ28_spl
| ~ precedes(X6,X2,sK8_skl)
| ~ sequential(X3,X6)
| ~ sequential(X3,X2)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f79]) ).
fof(f1364,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| edge(X3)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f377]) ).
fof(f1365,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ28_spl
| ~ sequential(X6,X3)
| ~ on_path(X6,sK8_skl)
| precedes(X6,X2,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f366]) ).
fof(f1366,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| on_path(X2,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f76]) ).
fof(f1367,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| on_path(X3,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f432,f75]) ).
fof(f1368,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ107_spl
<=> ( ~ in_path(head_of(X2),X3)
| ~ path(X4,X5,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(sK3_skl(head_of(X2),X3),X0)
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1371,plain,
( ~ sQ28_spl
| sQ10_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f1338,f1368,f295,f431]) ).
fof(f1372,definition,
! [X0,X1,X2,X3] :
( sQ108_spl
<=> ( X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(sK0_skl(head_of(X2),X3),X0)
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1375,plain,
( ~ sQ2_spl
| ~ sQ28_spl
| sQ10_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f1339,f1372,f295,f431,f139]) ).
fof(f1376,definition,
! [X0,X1,X2,X3,X4] :
( sQ109_spl
<=> ( vertex(head_of(sK1_skl(X3,head_of(X2),X4)))
| ~ path(X4,head_of(X2),X3)
| ~ sequential(sK1_skl(X3,head_of(X2),X4),X0)
| ~ on_path(sK1_skl(X3,head_of(X2),X4),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1379,plain,
( ~ sQ28_spl
| sQ10_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1340,f1376,f295,f431]) ).
fof(f1380,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ110_spl
<=> ( ~ path(tail_of(sK3_skl(head_of(X2),X5)),X4,X3)
| ~ in_path(head_of(X2),X5)
| ~ path(X6,X7,X5)
| X2 = sK3_skl(head_of(X2),X5)
| ~ edge(sK3_skl(head_of(X2),X5))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X5))
| ~ sequential(sK1_skl(X3,X4,tail_of(sK3_skl(head_of(X2),X5))),X0)
| ~ on_path(sK1_skl(X3,X4,tail_of(sK3_skl(head_of(X2),X5))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1383,plain,
( ~ sQ28_spl
| sQ10_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1341,f1380,f295,f431]) ).
fof(f1384,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ111_spl
<=> ( ~ path(tail_of(sK0_skl(head_of(X2),X5)),X4,X3)
| X5 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(X2),X5))
| ~ sequential(sK1_skl(X3,X4,tail_of(sK0_skl(head_of(X2),X5))),X0)
| ~ on_path(sK1_skl(X3,X4,tail_of(sK0_skl(head_of(X2),X5))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1387,plain,
( ~ sQ2_spl
| ~ sQ28_spl
| sQ10_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1342,f1384,f295,f431,f139]) ).
fof(f1388,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ112_spl
<=> ( ~ path(tail_of(X2),X5,X4)
| ~ in_path(head_of(X2),X3)
| ~ path(X6,X7,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X4,X5,tail_of(X2)),X0)
| ~ on_path(sK1_skl(X4,X5,tail_of(X2)),sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(X2),X3))
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1391,plain,
( ~ sQ28_spl
| sQ10_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1343,f1388,f295,f431]) ).
fof(f1392,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ113_spl
<=> ( ~ path(tail_of(X2),X5,X4)
| X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X4,X5,tail_of(X2)),X0)
| ~ on_path(sK1_skl(X4,X5,tail_of(X2)),sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1395,plain,
( ~ sQ2_spl
| ~ sQ28_spl
| sQ10_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1344,f1392,f295,f431,f139]) ).
fof(f1396,definition,
! [X0,X1,X2,X3,X4] :
( sQ114_spl
<=> ( ~ path(tail_of(X2),X4,X3)
| ~ sequential(sK1_skl(X3,X4,tail_of(X2)),X0)
| ~ on_path(sK1_skl(X3,X4,tail_of(X2)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1397,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ114_spl
| ~ path(tail_of(X2),X4,X3)
| ~ sequential(sK1_skl(X3,X4,tail_of(X2)),X0)
| ~ on_path(sK1_skl(X3,X4,tail_of(X2)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1399,plain,
( ~ sQ28_spl
| sQ10_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1345,f1396,f295,f431]) ).
fof(f1400,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ115_spl
<=> ( ~ in_path(head_of(X2),X3)
| ~ path(X4,X5,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(X2),X3))
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1403,plain,
( ~ sQ28_spl
| sQ10_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f1346,f1400,f295,f431]) ).
fof(f1404,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ116_spl
<=> ( ~ path(tail_of(X4),X3,X2)
| X5 = head_of(sK1_skl(X2,X3,tail_of(X4)))
| ~ vertex(head_of(sK1_skl(X2,X3,tail_of(X4))))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5))
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5))
| ~ on_path(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1407,plain,
( ~ sQ2_spl
| ~ sQ28_spl
| sQ10_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f1348,f1404,f295,f431,f139]) ).
fof(f1408,definition,
! [X0,X1,X2,X3] :
( sQ117_spl
<=> ( X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1411,plain,
( ~ sQ2_spl
| ~ sQ28_spl
| sQ10_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1349,f1408,f295,f431,f139]) ).
fof(f1412,definition,
! [X0,X1,X2,X3] :
( sQ118_spl
<=> ( tail_of(X3) = X2
| ~ vertex(X2)
| ~ vertex(tail_of(X3))
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,tail_of(X3)))
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1413,plain,
! [X0,X1,X2,X3] :
( ~ sQ118_spl
| tail_of(X3) = X2
| ~ vertex(X2)
| ~ vertex(tail_of(X3))
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,tail_of(X3)))
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f1412]) ).
fof(f1415,plain,
( ~ sQ3_spl
| ~ sQ28_spl
| sQ10_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1350,f1412,f295,f431,f143]) ).
fof(f1416,definition,
! [X0,X1,X2,X3,X4] :
( sQ119_spl
<=> ( vertex(head_of(sK1_skl(X2,head_of(X3),X4)))
| ~ path(X4,head_of(X3),X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(X3),X4))
| ~ on_path(sK1_skl(X2,head_of(X3),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1419,plain,
( ~ sQ28_spl
| sQ10_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f1351,f1416,f295,f431]) ).
fof(f1420,definition,
! [X0,X1,X2,X3,X4] :
( sQ120_spl
<=> ( ~ path(tail_of(X4),X3,X2)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,X3,tail_of(X4)))
| ~ on_path(sK1_skl(X2,X3,tail_of(X4)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1421,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ120_spl
| ~ path(tail_of(X4),X3,X2)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,X3,tail_of(X4)))
| ~ on_path(sK1_skl(X2,X3,tail_of(X4)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1423,plain,
( ~ sQ28_spl
| sQ10_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1352,f1420,f295,f431]) ).
fof(f1426,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f1355]) ).
fof(f1427,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ28_spl
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f1356]) ).
fof(f1430,definition,
! [X0,X1,X2,X3] :
( sQ121_spl
<=> ( ~ sequential(X3,X3)
| ~ sequential(X3,X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1433,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1360,f1430,f230,f431]) ).
fof(f1434,definition,
! [X0,X1,X2,X3,X6] :
( sQ122_spl
<=> ( ~ sequential(X6,X3)
| ~ sequential(X6,X2)
| ~ precedes(X6,X2,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1435,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ122_spl
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ precedes(X4,X2,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f1434]) ).
fof(f1437,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1361,f1434,f230,f431]) ).
fof(f1439,definition,
! [X0,X1,X2,X3,X6] :
( sQ123_spl
<=> ( ~ precedes(X6,X2,sK8_skl)
| ~ sequential(X3,X6)
| ~ sequential(X3,X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1442,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1363,f1439,f230,f431]) ).
fof(f1443,definition,
! [X0,X1,X2,X3] :
( sQ124_spl
<=> ( edge(X3)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1446,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1364,f1443,f230,f431]) ).
fof(f1447,definition,
! [X0,X1,X2,X3,X6] :
( sQ125_spl
<=> ( ~ sequential(X6,X3)
| ~ on_path(X6,sK8_skl)
| precedes(X6,X2,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1448,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ125_spl
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| precedes(X4,X2,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f1447]) ).
fof(f1450,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1365,f1447,f230,f431]) ).
fof(f1451,definition,
! [X0,X1,X2,X3] :
( sQ126_spl
<=> ( on_path(X2,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1454,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1366,f1451,f230,f431]) ).
fof(f1455,definition,
! [X0,X1,X2,X3] :
( sQ127_spl
<=> ( on_path(X3,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1458,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1367,f1455,f230,f431]) ).
fof(f1466,plain,
! [X0,X1,X2,X3] :
( ~ sQ118_spl
| tail_of(X3) = X2
| ~ vertex(X2)
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,tail_of(X3)))
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f1413,f251]) ).
fof(f1467,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(sK4_skl(X2,X3,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1359,f78]) ).
fof(f1468,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1359,f432]) ).
fof(f1471,definition,
! [X0,X1,X2,X3] :
( sQ128_spl
<=> ( sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(sK4_skl(X2,X3,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1474,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f1467,f1471,f230,f431]) ).
fof(f1475,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| ~ sequential(X2,X4)
| ~ sequential(X5,X3)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f1468]) ).
fof(f1481,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X0,X4)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X5,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f667,f432]) ).
fof(f1482,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X4,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X0,X4)
| ~ on_path(X0,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f667,f369]) ).
fof(f1483,plain,
! [X0,X1,X2,X3] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X0,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f667,f278]) ).
fof(f1484,definition,
! [X0,X1,X4,X5] :
( sQ129_spl
<=> ( ~ sequential(X0,X4)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X5,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1487,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1481,f1484,f295,f135,f139,f431]) ).
fof(f1488,definition,
! [X0,X1,X4] :
( sQ130_spl
<=> ( ~ sequential(X4,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X0,X4)
| ~ on_path(X0,sK8_skl)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1491,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1482,f1488,f295,f135,f139,f368]) ).
fof(f1492,definition,
! [X0,X1] :
( sQ131_spl
<=> ( ~ sequential(X0,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X0,sK8_skl)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1495,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f1483,f1492,f295,f135,f139]) ).
fof(f1510,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ3_spl
| ~ precedes(X1,sK0_skl(tail_of(X1),tail_of(X0)),X8)
| ~ shortest_path(X6,X7,X8)
| head_of(X0) != head_of(X5)
| ~ precedes(sK0_skl(tail_of(X1),tail_of(X0)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| ~ vertex(tail_of(X0)) ),
inference(equality_resolution,[status(thm)],[f214]) ).
fof(f1530,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ shortest_path(X9,X10,sK2_skl(X3,X4,X5))
| ~ path(tail_of(X2),X1,X0)
| ~ in_path(head_of(X2),X6)
| ~ path(X7,X8,X6)
| X2 = sK3_skl(head_of(X2),X6)
| ~ edge(sK3_skl(head_of(X2),X6))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X6))
| X4 = head_of(sK1_skl(X3,X4,X5))
| ~ path(X5,X4,X3)
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),sK3_skl(head_of(X2),X6))
| ~ on_path(sK3_skl(head_of(X2),X6),sK2_skl(X3,X4,X5))
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK2_skl(X3,X4,X5)) ),
inference(resolution,[status(thm)],[f983,f740]) ).
fof(f1531,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ2_spl
| ~ shortest_path(X7,X8,sK2_skl(X3,X4,X5))
| ~ path(tail_of(X2),X1,X0)
| X6 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(X2),X6))
| X4 = head_of(sK1_skl(X3,X4,X5))
| ~ path(X5,X4,X3)
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),sK0_skl(head_of(X2),X6))
| ~ on_path(sK0_skl(head_of(X2),X6),sK2_skl(X3,X4,X5))
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK2_skl(X3,X4,X5)) ),
inference(resolution,[status(thm)],[f983,f185]) ).
fof(f1552,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ shortest_path(X9,X10,sK2_skl(X3,X4,X5))
| ~ path(tail_of(X2),X1,X0)
| ~ in_path(head_of(X2),X6)
| ~ path(X7,X8,X6)
| X2 = sK3_skl(head_of(X2),X6)
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X6))
| X4 = head_of(sK1_skl(X3,X4,X5))
| ~ path(X5,X4,X3)
| ~ sequential(sK1_skl(X0,X1,tail_of(X2)),sK3_skl(head_of(X2),X6))
| ~ on_path(sK3_skl(head_of(X2),X6),sK2_skl(X3,X4,X5))
| ~ on_path(sK1_skl(X0,X1,tail_of(X2)),sK2_skl(X3,X4,X5)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1530,f694]) ).
fof(f1569,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(head_of(X0),X1),X4)
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f671,f432]) ).
fof(f1570,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X4,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),X1),X4)
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f671,f369]) ).
fof(f1571,plain,
! [X0,X1,X2,X3] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(head_of(X0),X1),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f671,f278]) ).
fof(f1576,definition,
! [X0,X1,X4,X5] :
( sQ132_spl
<=> ( ~ sequential(sK0_skl(head_of(X0),X1),X4)
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1579,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1569,f1576,f295,f135,f139,f431]) ).
fof(f1580,definition,
! [X0,X1,X4] :
( sQ133_spl
<=> ( ~ sequential(X4,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),X1),X4)
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1583,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1570,f1580,f295,f135,f139,f368]) ).
fof(f1584,definition,
! [X0,X1] :
( sQ134_spl
<=> ( ~ sequential(sK0_skl(head_of(X0),X1),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1587,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1571,f1584,f295,f135,f139]) ).
fof(f1595,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X0,X4)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X5,sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f724,f432]) ).
fof(f1596,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X4,sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X0,X4)
| ~ on_path(X0,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f724,f369]) ).
fof(f1597,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X0,sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f724,f278]) ).
fof(f1598,definition,
! [X0,X1,X4,X5] :
( sQ135_spl
<=> ( ~ sequential(X0,X4)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X5,sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1601,plain,
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1595,f1598,f295,f135,f143,f431]) ).
fof(f1602,definition,
! [X0,X1,X4] :
( sQ136_spl
<=> ( ~ sequential(X4,sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X0,X4)
| ~ on_path(X0,sK8_skl)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1605,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1596,f1602,f295,f135,f143,f368]) ).
fof(f1606,definition,
! [X0,X1] :
( sQ137_spl
<=> ( ~ sequential(X0,sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(X0,sK8_skl)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1609,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1597,f1606,f295,f135,f143]) ).
fof(f1616,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(X1,head_of(X0)),X4)
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f727,f432]) ).
fof(f1617,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X4,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(X1,head_of(X0)),X4)
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f727,f369]) ).
fof(f1618,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(X1,head_of(X0)),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f727,f278]) ).
fof(f1623,definition,
! [X0,X1,X4,X5] :
( sQ138_spl
<=> ( ~ sequential(sK0_skl(X1,head_of(X0)),X4)
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1626,plain,
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1616,f1623,f295,f135,f143,f431]) ).
fof(f1627,definition,
! [X0,X1,X4] :
( sQ139_spl
<=> ( ~ sequential(X4,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(X1,head_of(X0)),X4)
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1630,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1617,f1627,f295,f135,f143,f368]) ).
fof(f1631,definition,
! [X0,X1] :
( sQ140_spl
<=> ( ~ sequential(sK0_skl(X1,head_of(X0)),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1634,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1618,f1631,f295,f135,f143]) ).
fof(f1638,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(X1) != head_of(X5)
| ~ precedes(sK0_skl(head_of(X0),tail_of(X1)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = head_of(X0)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(head_of(X0),tail_of(X1))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),tail_of(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f23]) ).
fof(f1639,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(sK0_skl(X0,tail_of(X1))) != head_of(X5)
| ~ precedes(X1,X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f275,f24]) ).
fof(f1647,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| tail_of(X1) = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(tail_of(X1))
| tail_of(X1) = head_of(sK0_skl(head_of(X0),tail_of(X1)))
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(head_of(X0),tail_of(X1)),X1) ),
inference(resolution,[status(thm)],[f1639,f179]) ).
fof(f1648,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(X1,sK0_skl(X0,tail_of(X1)),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ),
inference(equality_resolution,[status(thm)],[f1639]) ).
fof(f1651,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ vertex(tail_of(X1))
| tail_of(X1) = head_of(sK0_skl(head_of(X0),tail_of(X1)))
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(head_of(X0),tail_of(X1)),X1) ),
inference(duplicate_literals_removal,[status(thm)],[f1647]) ).
fof(f1652,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ vertex(tail_of(X0))
| tail_of(X0) = head_of(sK0_skl(head_of(X1),tail_of(X0)))
| ~ precedes(X0,X1,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X0) = head_of(X1)
| ~ vertex(head_of(X1))
| sK0_skl(head_of(X1),tail_of(X0)) = X0
| ~ edge(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1651,f65]) ).
fof(f1686,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X5,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ),
inference(resolution,[status(thm)],[f1648,f432]) ).
fof(f1687,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X4,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ),
inference(resolution,[status(thm)],[f1648,f369]) ).
fof(f1688,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X1,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ),
inference(resolution,[status(thm)],[f1648,f278]) ).
fof(f1693,definition,
! [X0,X1,X4,X5] :
( sQ141_spl
<=> ( ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X5,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1694,plain,
! [X0,X1,X2,X3] :
( ~ sQ141_spl
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X3,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ),
inference(component_clause,[status(thm)],[f1693]) ).
fof(f1696,plain,
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1686,f1693,f295,f135,f143,f431]) ).
fof(f1697,definition,
! [X0,X1,X4] :
( sQ142_spl
<=> ( ~ sequential(X4,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1698,plain,
! [X0,X1,X2] :
( ~ sQ142_spl
| ~ sequential(X2,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ),
inference(component_clause,[status(thm)],[f1697]) ).
fof(f1700,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1687,f1697,f295,f135,f143,f368]) ).
fof(f1701,definition,
! [X0,X1] :
( sQ143_spl
<=> ( ~ sequential(X1,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1702,plain,
! [X0,X1] :
( ~ sQ143_spl
| ~ sequential(X1,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ),
inference(component_clause,[status(thm)],[f1701]) ).
fof(f1704,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1688,f1701,f295,f135,f143]) ).
fof(f1705,plain,
! [X0,X1] :
( ~ sQ143_spl
| ~ sequential(X0,sK0_skl(X1,tail_of(X0)))
| ~ on_path(sK0_skl(X1,tail_of(X0)),sK8_skl)
| ~ on_path(X0,sK8_skl)
| tail_of(X0) = X1
| ~ vertex(X1)
| sK0_skl(X1,tail_of(X0)) = X0
| ~ edge(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1702,f336]) ).
fof(f1706,plain,
! [X0,X1,X2,X3] :
( ~ sQ141_spl
| ~ sQ19_spl
| ~ sequential(X0,X2)
| ~ on_path(X0,sK8_skl)
| ~ sequential(X3,sK0_skl(X1,tail_of(X0)))
| ~ on_path(sK0_skl(X1,tail_of(X0)),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| tail_of(X0) = X1
| ~ vertex(X1)
| sK0_skl(X1,tail_of(X0)) = X0
| ~ edge(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1694,f469]) ).
fof(f1707,plain,
! [X0,X1,X2] :
( ~ sQ142_spl
| ~ sQ19_spl
| ~ sequential(X2,sK0_skl(X1,tail_of(X0)))
| ~ on_path(sK0_skl(X1,tail_of(X0)),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,X2)
| ~ on_path(X0,sK8_skl)
| tail_of(X0) = X1
| ~ vertex(X1)
| sK0_skl(X1,tail_of(X0)) = X0
| ~ edge(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1698,f429]) ).
fof(f1708,plain,
! [X0,X1] :
( ~ sQ143_spl
| ~ sequential(X1,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1705,f199]) ).
fof(f1715,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(X1) != head_of(X5)
| ~ precedes(sK0_skl(X0,tail_of(X1)),X5,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1
| ~ edge(X1)
| sequential(sK0_skl(X0,tail_of(X1)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f276,f24]) ).
fof(f1720,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sequential(X1,X5)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X6,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X5,sK8_skl)
| X4 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(head_of(sK0_skl(X0,tail_of(X1))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4))
| ~ shortest_path(X2,X3,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(resolution,[status(thm)],[f489,f432]) ).
fof(f1721,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sequential(X5,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,X5)
| ~ on_path(X1,sK8_skl)
| X4 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(head_of(sK0_skl(X0,tail_of(X1))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4))
| ~ shortest_path(X2,X3,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(resolution,[status(thm)],[f489,f369]) ).
fof(f1722,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sequential(X1,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| X4 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(head_of(sK0_skl(X0,tail_of(X1))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4))
| ~ shortest_path(X2,X3,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(resolution,[status(thm)],[f489,f278]) ).
fof(f1726,definition,
! [X0,X1,X4,X5,X6] :
( sQ144_spl
<=> ( ~ sequential(X1,X5)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X6,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X5,sK8_skl)
| X4 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(head_of(sK0_skl(X0,tail_of(X1))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4))
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1729,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ10_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1720,f1726,f295,f143,f139,f431]) ).
fof(f1730,definition,
! [X0,X1,X4,X5] :
( sQ145_spl
<=> ( ~ sequential(X5,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,X5)
| ~ on_path(X1,sK8_skl)
| X4 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(head_of(sK0_skl(X0,tail_of(X1))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4))
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1731,plain,
! [X0,X1,X2,X3] :
( ~ sQ145_spl
| ~ sequential(X3,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X3)
| ~ on_path(X1,sK8_skl)
| X2 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(head_of(sK0_skl(X0,tail_of(X1))))
| ~ vertex(X2)
| X2 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2))
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(component_clause,[status(thm)],[f1730]) ).
fof(f1733,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ10_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f1721,f1730,f295,f143,f139,f368]) ).
fof(f1734,definition,
! [X0,X1,X4] :
( sQ146_spl
<=> ( ~ sequential(X1,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| X4 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(head_of(sK0_skl(X0,tail_of(X1))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X4))
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1735,plain,
! [X0,X1,X2] :
( ~ sQ146_spl
| ~ sequential(X1,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2),sK8_skl)
| ~ on_path(X1,sK8_skl)
| X2 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(head_of(sK0_skl(X0,tail_of(X1))))
| ~ vertex(X2)
| X2 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2))
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(component_clause,[status(thm)],[f1734]) ).
fof(f1737,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| sQ10_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1722,f1734,f295,f143,f139]) ).
fof(f1738,plain,
! [X0,X1,X2] :
( ~ sQ146_spl
| ~ sequential(X1,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2),sK8_skl)
| ~ on_path(X1,sK8_skl)
| X2 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(head_of(sK0_skl(X0,tail_of(X1))))
| ~ vertex(X2)
| X2 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2))
| tail_of(X1) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1735,f251]) ).
fof(f1740,plain,
! [X0,X1,X2,X3] :
( ~ sQ145_spl
| ~ sequential(X3,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X3)
| ~ on_path(X1,sK8_skl)
| X2 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(head_of(sK0_skl(X0,tail_of(X1))))
| ~ vertex(X2)
| X2 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2))
| tail_of(X1) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1731,f251]) ).
fof(f1820,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(X2,sK8_skl)
| ~ sequential(X2,X1)
| ~ sequential(X2,X0)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f616]) ).
fof(f1826,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ45_spl
| ~ sQ28_spl
| ~ path(X8,X9,sK8_skl)
| sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,X3)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),X3)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f382]) ).
fof(f1828,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X1)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f594]) ).
fof(f1830,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X1)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X1)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f506]) ).
fof(f1832,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ45_spl
| ~ sQ28_spl
| ~ in_path(X1,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f58]) ).
fof(f1834,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ45_spl
| ~ sQ28_spl
| ~ path(X8,X9,sK8_skl)
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,sK4_skl(X2,X3,sK8_skl))
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f382]) ).
fof(f1836,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f594]) ).
fof(f1838,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f506]) ).
fof(f1840,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ45_spl
| ~ sQ28_spl
| ~ in_path(X2,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK3_skl(X2,sK8_skl))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,sK3_skl(X2,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f58]) ).
fof(f1844,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(X2,sK8_skl)
| ~ sequential(X2,X1)
| ~ sequential(X2,sK7_skl(sK8_skl))
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f616]) ).
fof(f1849,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ45_spl
| ~ sQ28_spl
| ~ path(X7,X8,sK8_skl)
| sequential(X4,X3)
| ~ precedes(X4,X3,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X2)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f382]) ).
fof(f1850,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ45_spl
| ~ sQ28_spl
| ~ path(X8,X9,sK8_skl)
| sequential(X4,X3)
| ~ precedes(X4,X3,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,sK4_skl(X3,X4,sK8_skl))
| ~ sequential(X5,X2)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f382]) ).
fof(f1852,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f594]) ).
fof(f1854,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(sK6_skl(sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f506]) ).
fof(f1855,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ45_spl
| ~ sQ28_spl
| ~ in_path(X3,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(sK3_skl(X3,sK8_skl),sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),X2)
| ~ sequential(sK3_skl(X3,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f58]) ).
fof(f1856,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ45_spl
| ~ sQ28_spl
| ~ in_path(X3,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK3_skl(X3,sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK3_skl(X3,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f58]) ).
fof(f1860,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(X2,sK8_skl)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ sequential(X2,X1)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f616]) ).
fof(f1867,plain,
! [X0,X1] :
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f616]) ).
fof(f1868,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f616]) ).
fof(f1874,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f616]) ).
fof(f1877,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ45_spl
| ~ sQ28_spl
| ~ path(X8,X9,sK8_skl)
| sequential(X5,X4)
| ~ precedes(X5,X4,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(sK4_skl(X4,X5,sK8_skl),X3)
| ~ sequential(sK4_skl(X4,X5,sK8_skl),X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f382]) ).
fof(f1878,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sequential(sK7_skl(sK8_skl),X3)
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f594]) ).
fof(f1879,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sequential(sK6_skl(sK8_skl),X3)
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f506]) ).
fof(f1880,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ45_spl
| ~ sQ28_spl
| ~ in_path(X4,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(sK3_skl(X4,sK8_skl),X3)
| ~ sequential(sK3_skl(X4,sK8_skl),X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1426,f58]) ).
fof(f1885,definition,
! [X0,X1,X2] :
( sQ147_spl
<=> ( ~ on_path(X2,sK8_skl)
| ~ sequential(X2,X1)
| ~ sequential(X2,X0)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1886,plain,
! [X0,X1,X2] :
( ~ sQ147_spl
| ~ on_path(X2,sK8_skl)
| ~ sequential(X2,X1)
| ~ sequential(X2,X0)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f1885]) ).
fof(f1888,plain,
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ28_spl
| sQ147_spl
| ~ sQ49_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1820,f505,f593,f1885,f431,f547,f615]) ).
fof(f1892,definition,
! [X0,X1,X2] :
( sQ148_spl
<=> ( sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(sK4_skl(X1,X2,sK8_skl),X0)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1896,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ149_spl
<=> ( sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,X3)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),X3)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1899,plain,
( ~ sQ45_spl
| ~ sQ28_spl
| sQ5_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1826,f1896,f230,f431,f547]) ).
fof(f1902,definition,
! [X0,X1] :
( sQ150_spl
<=> ( ~ in_path(X1,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(sK3_skl(X1,sK8_skl),X0)
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1906,definition,
! [X0,X1,X2,X3,X4] :
( sQ151_spl
<=> ( ~ in_path(X1,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1907,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ151_spl
| ~ in_path(X1,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f1906]) ).
fof(f1909,plain,
( ~ sQ45_spl
| ~ sQ28_spl
| sQ5_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f1832,f1906,f230,f431,f547]) ).
fof(f1910,definition,
! [X0,X1,X2,X3] :
( sQ152_spl
<=> ( sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ sequential(sK4_skl(X2,X3,sK8_skl),sK4_skl(X2,X3,sK8_skl))
| ~ sequential(sK4_skl(X2,X3,sK8_skl),sK4_skl(X2,X3,sK8_skl))
| ~ sequential(sK4_skl(X2,X3,sK8_skl),X0)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1914,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ153_spl
<=> ( sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,sK4_skl(X2,X3,sK8_skl))
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1917,plain,
( ~ sQ45_spl
| ~ sQ28_spl
| sQ5_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1834,f1914,f230,f431,f547]) ).
fof(f1920,definition,
! [X0,X1,X2] :
( sQ154_spl
<=> ( ~ in_path(X2,sK8_skl)
| ~ sequential(sK3_skl(X2,sK8_skl),sK3_skl(X2,sK8_skl))
| ~ sequential(sK3_skl(X2,sK8_skl),sK3_skl(X2,sK8_skl))
| ~ sequential(sK3_skl(X2,sK8_skl),X0)
| ~ sequential(X1,sK3_skl(X2,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1924,definition,
! [X0,X1,X2,X3,X4] :
( sQ155_spl
<=> ( ~ in_path(X2,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK3_skl(X2,sK8_skl))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,sK3_skl(X2,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1925,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ155_spl
| ~ in_path(X2,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK3_skl(X2,sK8_skl))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,sK3_skl(X2,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f1924]) ).
fof(f1927,plain,
( ~ sQ45_spl
| ~ sQ28_spl
| sQ5_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f1840,f1924,f230,f431,f547]) ).
fof(f1931,definition,
! [X0,X1,X2] :
( sQ156_spl
<=> ( ~ on_path(X2,sK8_skl)
| ~ sequential(X2,X1)
| ~ sequential(X2,sK7_skl(sK8_skl))
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1932,plain,
! [X0,X1,X2] :
( ~ sQ156_spl
| ~ on_path(X2,sK8_skl)
| ~ sequential(X2,X1)
| ~ sequential(X2,sK7_skl(sK8_skl))
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f1931]) ).
fof(f1934,plain,
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ49_spl
| ~ sQ39_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1844,f1931,f505,f593,f431,f547,f615]) ).
fof(f1938,definition,
! [X0,X1,X2,X3,X4] :
( sQ157_spl
<=> ( sequential(X4,X3)
| ~ precedes(X4,X3,sK8_skl)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X2)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1941,plain,
( ~ sQ45_spl
| ~ sQ28_spl
| sQ5_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1849,f1938,f230,f431,f547]) ).
fof(f1942,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ158_spl
<=> ( sequential(X4,X3)
| ~ precedes(X4,X3,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,sK4_skl(X3,X4,sK8_skl))
| ~ sequential(X5,X2)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1945,plain,
( ~ sQ45_spl
| ~ sQ28_spl
| sQ5_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1850,f1942,f230,f431,f547]) ).
fof(f1954,definition,
! [X0,X1,X2,X3] :
( sQ161_spl
<=> ( ~ in_path(X3,sK8_skl)
| ~ sequential(sK3_skl(X3,sK8_skl),sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),X2)
| ~ sequential(sK3_skl(X3,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1957,plain,
( ~ sQ45_spl
| ~ sQ28_spl
| sQ5_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f1855,f1954,f230,f431,f547]) ).
fof(f1958,definition,
! [X0,X1,X2,X3,X4] :
( sQ162_spl
<=> ( ~ in_path(X3,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK3_skl(X3,sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK3_skl(X3,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1959,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ162_spl
| ~ in_path(X3,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK3_skl(X3,sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK3_skl(X3,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f1958]) ).
fof(f1961,plain,
( ~ sQ45_spl
| ~ sQ28_spl
| sQ5_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1856,f1958,f230,f431,f547]) ).
fof(f1965,definition,
! [X0,X1,X2] :
( sQ163_spl
<=> ( ~ on_path(X2,sK8_skl)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ sequential(X2,X1)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1966,plain,
! [X0,X1,X2] :
( ~ sQ163_spl
| ~ on_path(X2,sK8_skl)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ sequential(X2,X1)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0) ),
inference(component_clause,[status(thm)],[f1965]) ).
fof(f1968,plain,
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ39_spl
| sQ163_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1860,f593,f1965,f505,f431,f547,f615]) ).
fof(f1974,plain,
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ39_spl
| ~ sQ49_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f1867,f880,f593,f505,f431,f547,f615]) ).
fof(f1975,definition,
! [X0,X1,X2] :
( sQ164_spl
<=> ( ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1976,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f1975]) ).
fof(f1978,plain,
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ39_spl
| ~ sQ49_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1868,f1975,f593,f505,f431,f547,f615]) ).
fof(f1983,definition,
! [X0,X1,X2] :
( sQ165_spl
<=> ( ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1984,plain,
! [X0,X1,X2] :
( ~ sQ165_spl
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f1983]) ).
fof(f1986,plain,
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ39_spl
| ~ sQ49_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f1874,f1983,f593,f505,f431,f547,f615]) ).
fof(f1988,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ166_spl
<=> ( sequential(X5,X4)
| ~ precedes(X5,X4,sK8_skl)
| ~ sequential(sK4_skl(X4,X5,sK8_skl),X3)
| ~ sequential(sK4_skl(X4,X5,sK8_skl),X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1991,plain,
( ~ sQ45_spl
| ~ sQ28_spl
| sQ5_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1877,f1988,f230,f431,f547]) ).
fof(f1992,definition,
! [X0,X1,X2,X3,X4] :
( sQ167_spl
<=> ( ~ in_path(X4,sK8_skl)
| ~ sequential(sK3_skl(X4,sK8_skl),X3)
| ~ sequential(sK3_skl(X4,sK8_skl),X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1993,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ167_spl
| ~ in_path(X4,sK8_skl)
| ~ sequential(sK3_skl(X4,sK8_skl),X3)
| ~ sequential(sK3_skl(X4,sK8_skl),X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f1992]) ).
fof(f1995,plain,
( ~ sQ45_spl
| ~ sQ28_spl
| sQ5_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1880,f1992,f230,f431,f547]) ).
fof(f2001,plain,
! [X0,X1,X2,X3] :
( ~ sQ147_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))))
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f1886,f274]) ).
fof(f2003,definition,
! [X0,X1,X2,X3] :
( sQ168_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))))
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f2006,plain,
( ~ sQ147_spl
| ~ sQ59_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f2001,f2003,f762,f1885]) ).
fof(f2010,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ4_spl
| ~ sQ2_spl
| ~ edge(X0)
| ~ sP0_prd(sK0_skl(tail_of(X0),head_of(X0)),tail_of(X0),head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(X0),head_of(X0)))
| head_of(X0) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(X0),head_of(X0)),X4,X3)
| ~ shortest_path(X1,X2,X3)
| ~ vertex(tail_of(X0))
| ~ vertex(head_of(X0)) ),
inference(resolution,[status(thm)],[f586,f21]) ).
fof(f2014,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ4_spl
| ~ sQ2_spl
| ~ edge(X0)
| ~ sP0_prd(sK0_skl(tail_of(X0),head_of(X0)),tail_of(X0),head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(X0),head_of(X0)))
| head_of(X0) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(X0),head_of(X0)),X4,X3)
| ~ shortest_path(X1,X2,X3)
| ~ vertex(tail_of(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2010,f23]) ).
fof(f2017,plain,
! [X0,X1] :
( ~ sQ52_spl
| ~ sQ156_spl
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X1)
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1932,f616]) ).
fof(f2018,plain,
( ~ sQ52_spl
| ~ sQ156_spl
| ~ sQ39_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f2017,f884,f505,f1931,f615]) ).
fof(f2019,plain,
! [X0,X1,X2,X3] :
( ~ sQ163_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f1966,f274]) ).
fof(f2021,definition,
! [X0,X1,X2,X3] :
( sQ169_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f2024,plain,
( ~ sQ163_spl
| ~ sQ59_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f2019,f2021,f762,f1965]) ).
fof(f2026,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ path(head_of(sK6_skl(sK8_skl)),X3,X2)
| sK6_skl(sK8_skl) = sK1_skl(X2,X3,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ sequential(sK1_skl(X2,X3,head_of(sK6_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X2,X3,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1976,f274]) ).
fof(f2029,definition,
! [X0,X1,X2,X3] :
( sQ170_spl
<=> ( ~ path(head_of(sK6_skl(sK8_skl)),X3,X2)
| sK6_skl(sK8_skl) = sK1_skl(X2,X3,head_of(sK6_skl(sK8_skl)))
| ~ sequential(sK1_skl(X2,X3,head_of(sK6_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X2,X3,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f2032,plain,
( ~ sQ164_spl
| ~ sQ64_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f2026,f2029,f781,f1975]) ).
fof(f2033,plain,
! [X0,X1,X2,X3] :
( ~ sQ165_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK6_skl(sK8_skl),X3)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f1984,f274]) ).
fof(f2035,definition,
! [X0,X1,X2,X3] :
( sQ171_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ sequential(sK6_skl(sK8_skl),X3)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f2038,plain,
( ~ sQ165_spl
| ~ sQ59_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f2033,f2035,f762,f1983]) ).
fof(f2042,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,X2)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl) ),
inference(resolution,[status(thm)],[f1427,f616]) ).
fof(f2047,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sQ28_spl
| ~ path(X5,X6,sK8_skl)
| sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ path(X3,X4,sK8_skl)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(sK4_skl(X1,X2,sK8_skl),X0)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1427,f382]) ).
fof(f2048,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ19_spl
| ~ sQ28_spl
| ~ path(X8,X9,sK8_skl)
| sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X3,X5)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),X3)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1427,f382]) ).
fof(f2050,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X3)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1427,f594]) ).
fof(f2052,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X3)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X1)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1427,f506]) ).
fof(f2053,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ28_spl
| ~ in_path(X1,sK8_skl)
| ~ path(X2,X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(sK3_skl(X1,sK8_skl),X0)
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1427,f58]) ).
fof(f2054,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sQ28_spl
| ~ in_path(X1,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1427,f58]) ).
fof(f2055,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ19_spl
| ~ sQ28_spl
| ~ path(X6,X7,sK8_skl)
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(sK4_skl(X2,X3,sK8_skl),sK4_skl(X2,X3,sK8_skl))
| ~ sequential(sK4_skl(X2,X3,sK8_skl),sK4_skl(X2,X3,sK8_skl))
| ~ sequential(sK4_skl(X2,X3,sK8_skl),X0)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1427,f382]) ).
fof(f2061,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ28_spl
| ~ in_path(X2,sK8_skl)
| ~ path(X3,X4,sK8_skl)
| ~ sequential(sK3_skl(X2,sK8_skl),sK3_skl(X2,sK8_skl))
| ~ sequential(sK3_skl(X2,sK8_skl),sK3_skl(X2,sK8_skl))
| ~ sequential(sK3_skl(X2,sK8_skl),X0)
| ~ sequential(X1,sK3_skl(X2,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1427,f58]) ).
fof(f2071,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ19_spl
| ~ sQ28_spl
| ~ path(X7,X8,sK8_skl)
| sequential(X4,X3)
| ~ precedes(X4,X3,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),sK4_skl(X3,X4,sK8_skl))
| ~ sequential(X2,sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1427,f382]) ).
fof(f2077,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ28_spl
| ~ in_path(X3,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(sK3_skl(X3,sK8_skl),sK3_skl(X3,sK8_skl))
| ~ sequential(X2,sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1427,f58]) ).
fof(f2103,definition,
! [X0,X1,X2] :
( sQ172_spl
<=> ( ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,X2)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f2104,plain,
! [X0,X1,X2] :
( ~ sQ172_spl
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,X2)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f2103]) ).
fof(f2106,plain,
( ~ sQ52_spl
| ~ sQ19_spl
| ~ sQ28_spl
| sQ172_spl
| ~ sQ49_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2042,f505,f593,f2103,f431,f368,f615]) ).
fof(f2110,plain,
( ~ sQ19_spl
| ~ sQ28_spl
| sQ5_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2047,f1892,f230,f431,f368]) ).
fof(f2111,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ173_spl
<=> ( sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X3,X5)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),X3)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f2114,plain,
( ~ sQ19_spl
| ~ sQ28_spl
| sQ5_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f2048,f2111,f230,f431,f368]) ).
fof(f2117,plain,
( ~ sQ19_spl
| ~ sQ28_spl
| sQ5_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f2053,f1902,f230,f431,f368]) ).
fof(f2118,definition,
! [X0,X1,X2,X3,X4] :
( sQ174_spl
<=> ( ~ in_path(X1,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f2119,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ174_spl
| ~ in_path(X1,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f2118]) ).
fof(f2121,plain,
( ~ sQ19_spl
| ~ sQ28_spl
| sQ5_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f2054,f2118,f230,f431,f368]) ).
fof(f2122,plain,
( ~ sQ19_spl
| ~ sQ28_spl
| sQ5_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f2055,f1910,f230,f431,f368]) ).
fof(f2126,plain,
( ~ sQ19_spl
| ~ sQ28_spl
| sQ5_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f2061,f1920,f230,f431,f368]) ).
fof(f2135,definition,
! [X0,X1,X2,X3,X4] :
( sQ175_spl
<=> ( sequential(X4,X3)
| ~ precedes(X4,X3,sK8_skl)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),sK4_skl(X3,X4,sK8_skl))
| ~ sequential(X2,sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f2138,plain,
( ~ sQ19_spl
| ~ sQ28_spl
| sQ5_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f2071,f2135,f230,f431,f368]) ).
fof(f2140,definition,
! [X0,X1,X2] :
( sQ176_spl
<=> ( ~ sequential(X2,sK7_skl(sK8_skl))
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f2144,definition,
! [X0,X1,X2] :
( sQ177_spl
<=> ( ~ sequential(X2,sK6_skl(sK8_skl))
| ~ sequential(sK6_skl(sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2148,definition,
! [X0,X1,X2,X3] :
( sQ178_spl
<=> ( ~ in_path(X3,sK8_skl)
| ~ sequential(sK3_skl(X3,sK8_skl),sK3_skl(X3,sK8_skl))
| ~ sequential(X2,sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f2151,plain,
( ~ sQ19_spl
| ~ sQ28_spl
| sQ5_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f2077,f2148,f230,f431,f368]) ).
fof(f2169,plain,
! [X0,X1,X2,X3] :
( ~ sQ172_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X3)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f2104,f274]) ).
fof(f2171,definition,
! [X0,X1,X2,X3] :
( sQ179_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X3)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f2174,plain,
( ~ sQ172_spl
| ~ sQ59_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f2169,f2171,f762,f2103]) ).
fof(f2181,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ sQ28_spl
| ~ sequential(sK4_skl(X9,sK4_skl(X2,X3,sK8_skl),X8),X10)
| ~ on_path(sK4_skl(X9,sK4_skl(X2,X3,sK8_skl),X8),sK8_skl)
| ~ sequential(X11,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X11,sK8_skl)
| ~ sequential(X10,X11)
| ~ on_path(X10,sK8_skl)
| sequential(sK4_skl(X2,X3,sK8_skl),X9)
| ~ precedes(sK4_skl(X2,X3,sK8_skl),X9,X8)
| ~ path(X6,X7,X8)
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(sK4_skl(X2,X3,sK8_skl),X2)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1253,f432]) ).
fof(f2182,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ19_spl
| ~ sequential(X10,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X10,sK8_skl)
| ~ sequential(sK4_skl(X9,sK4_skl(X2,X3,sK8_skl),X8),X10)
| ~ on_path(sK4_skl(X9,sK4_skl(X2,X3,sK8_skl),X8),sK8_skl)
| sequential(sK4_skl(X2,X3,sK8_skl),X9)
| ~ precedes(sK4_skl(X2,X3,sK8_skl),X9,X8)
| ~ path(X6,X7,X8)
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(sK4_skl(X2,X3,sK8_skl),X2)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1253,f369]) ).
fof(f2183,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sequential(sK4_skl(X9,sK4_skl(X2,X3,sK8_skl),X8),X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK4_skl(X9,sK4_skl(X2,X3,sK8_skl),X8),sK8_skl)
| sequential(sK4_skl(X2,X3,sK8_skl),X9)
| ~ precedes(sK4_skl(X2,X3,sK8_skl),X9,X8)
| ~ path(X6,X7,X8)
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(sK4_skl(X2,X3,sK8_skl),X2)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1253,f278]) ).
fof(f2189,definition,
! [X2,X3,X6,X7,X8,X9,X10,X11] :
( sQ180_spl
<=> ( ~ sequential(sK4_skl(X9,sK4_skl(X2,X3,sK8_skl),X8),X10)
| ~ on_path(sK4_skl(X9,sK4_skl(X2,X3,sK8_skl),X8),sK8_skl)
| ~ sequential(X11,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X11,sK8_skl)
| ~ sequential(X10,X11)
| ~ on_path(X10,sK8_skl)
| sequential(sK4_skl(X2,X3,sK8_skl),X9)
| ~ precedes(sK4_skl(X2,X3,sK8_skl),X9,X8)
| ~ path(X6,X7,X8)
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ sequential(sK4_skl(X2,X3,sK8_skl),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f2192,plain,
( ~ sQ28_spl
| sQ180_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f2181,f230,f2189,f431]) ).
fof(f2193,definition,
! [X2,X3,X6,X7,X8,X9,X10] :
( sQ181_spl
<=> ( ~ sequential(X10,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X10,sK8_skl)
| ~ sequential(sK4_skl(X9,sK4_skl(X2,X3,sK8_skl),X8),X10)
| ~ on_path(sK4_skl(X9,sK4_skl(X2,X3,sK8_skl),X8),sK8_skl)
| sequential(sK4_skl(X2,X3,sK8_skl),X9)
| ~ precedes(sK4_skl(X2,X3,sK8_skl),X9,X8)
| ~ path(X6,X7,X8)
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ sequential(sK4_skl(X2,X3,sK8_skl),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f2196,plain,
( ~ sQ19_spl
| sQ181_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f2182,f230,f2193,f368]) ).
fof(f2197,definition,
! [X2,X3,X6,X7,X8,X9] :
( sQ182_spl
<=> ( ~ sequential(sK4_skl(X9,sK4_skl(X2,X3,sK8_skl),X8),X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK4_skl(X9,sK4_skl(X2,X3,sK8_skl),X8),sK8_skl)
| sequential(sK4_skl(X2,X3,sK8_skl),X9)
| ~ precedes(sK4_skl(X2,X3,sK8_skl),X9,X8)
| ~ path(X6,X7,X8)
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ sequential(sK4_skl(X2,X3,sK8_skl),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f2200,plain,
( sQ182_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f2183,f230,f2197]) ).
fof(f2201,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ122_spl
| sequential(X4,X2)
| ~ precedes(X4,X2,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(sK4_skl(X2,X4,sK8_skl),X3)
| ~ sequential(sK4_skl(X2,X4,sK8_skl),X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1435,f78]) ).
fof(f2205,definition,
! [X0,X1,X2,X3,X4] :
( sQ183_spl
<=> ( sequential(X4,X2)
| ~ precedes(X4,X2,sK8_skl)
| ~ sequential(sK4_skl(X2,X4,sK8_skl),X3)
| ~ sequential(sK4_skl(X2,X4,sK8_skl),X2)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f2208,plain,
( ~ sQ122_spl
| sQ5_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2201,f2205,f230,f1434]) ).
fof(f2233,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ1_spl
| head_of(X0) = tail_of(X1)
| ~ vertex(head_of(X0))
| sK0_skl(tail_of(X1),head_of(X0)) = X1
| ~ edge(X1)
| sequential(sK0_skl(tail_of(X1),head_of(X0)),X1)
| sK0_skl(tail_of(X1),head_of(X0)) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),head_of(X0)))
| sequential(sK0_skl(tail_of(X1),head_of(X0)),X1)
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = tail_of(X1)
| ~ vertex(head_of(X0)) ),
inference(resolution,[status(thm)],[f591,f906]) ).
fof(f2234,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| ~ precedes(X1,sK0_skl(tail_of(X1),X0),X4)
| ~ shortest_path(X2,X3,X4)
| X0 = tail_of(X1)
| ~ vertex(X0) ),
inference(equality_resolution,[status(thm)],[f591]) ).
fof(f2242,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ1_spl
| sK0_skl(tail_of(X1),head_of(X0)) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),head_of(X0)))
| sequential(sK0_skl(tail_of(X1),head_of(X0)),X1)
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = tail_of(X1)
| ~ vertex(head_of(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2233]) ).
fof(f2243,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1828,f274]) ).
fof(f2245,definition,
! [X0,X1,X2,X3,X4] :
( sQ184_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f2248,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ59_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f2243,f2245,f762,f431,f547,f593]) ).
fof(f2250,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ path(head_of(sK6_skl(sK8_skl)),X2,X1)
| sK6_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1830,f274]) ).
fof(f2253,definition,
! [X0,X1,X2,X3,X4] :
( sQ185_spl
<=> ( ~ path(head_of(sK6_skl(sK8_skl)),X2,X1)
| sK6_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f2256,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ64_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f2250,f2253,f781,f431,f547,f505]) ).
fof(f2259,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ sequential(X4,X3)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f1852,f274]) ).
fof(f2261,definition,
! [X0,X1,X2,X3,X4] :
( sQ186_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ sequential(X4,X3)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f2264,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ59_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2259,f2261,f762,f431,f547,f593]) ).
fof(f2266,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ14_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| X2 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(X2)
| X2 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2),sK8_skl)
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ precedes(X1,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2),X5)
| ~ shortest_path(X3,X4,X5)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1)))
| X2 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(X2)
| sK0_skl(X0,tail_of(X1)) = sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2) ),
inference(resolution,[status(thm)],[f672,f331]) ).
fof(f2313,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ14_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| X2 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2),sK8_skl)
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ precedes(X1,sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2),X5)
| ~ shortest_path(X3,X4,X5)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1)))
| X2 = head_of(sK0_skl(X0,tail_of(X1)))
| ~ vertex(X2)
| sK0_skl(X0,tail_of(X1)) = sK0_skl(head_of(sK0_skl(X0,tail_of(X1))),X2) ),
inference(duplicate_literals_removal,[status(thm)],[f2266]) ).
fof(f2409,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(X0)),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ sequential(X7,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f666,f432]) ).
fof(f2410,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X6,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(X0)),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f666,f369]) ).
fof(f2411,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(X0)),sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f666,f278]) ).
fof(f2412,definition,
! [X0,X1,X2,X3,X6,X7] :
( sQ187_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(X0)),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ sequential(X7,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f2415,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f2409,f2412,f295,f135,f139,f431]) ).
fof(f2416,definition,
! [X0,X1,X2,X3,X6] :
( sQ188_spl
<=> ( ~ sequential(X6,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(X0)),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f2417,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ188_spl
| ~ sequential(X4,sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(X0)),X4)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(component_clause,[status(thm)],[f2416]) ).
fof(f2419,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f2410,f2416,f295,f135,f139,f368]) ).
fof(f2420,definition,
! [X0,X1,X2,X3] :
( sQ189_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(X0)),sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f2421,plain,
! [X0,X1,X2,X3] :
( ~ sQ189_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(X0)),sK0_skl(head_of(X0),X1))
| ~ on_path(sK0_skl(head_of(X0),X1),sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(component_clause,[status(thm)],[f2420]) ).
fof(f2423,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f2411,f2420,f295,f135,f139]) ).
fof(f2425,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ path(head_of(sK6_skl(sK8_skl)),X1,X0)
| sK6_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,X3)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f1854,f274]) ).
fof(f2428,definition,
! [X0,X1,X2,X3,X4] :
( sQ190_spl
<=> ( ~ path(head_of(sK6_skl(sK8_skl)),X1,X0)
| sK6_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,X3)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f2431,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ64_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f2425,f2428,f781,f431,f547,f505]) ).
fof(f2432,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X4,X3)
| sK7_skl(sK8_skl) = sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ sequential(sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1878,f274]) ).
fof(f2434,definition,
! [X0,X1,X2,X3,X4] :
( sQ191_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X4,X3)
| sK7_skl(sK8_skl) = sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl)))
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ sequential(sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f2437,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ59_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f2432,f2434,f762,f431,f547,f593]) ).
fof(f2441,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ path(head_of(sK6_skl(sK8_skl)),X4,X3)
| sK6_skl(sK8_skl) = sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1879,f274]) ).
fof(f2444,definition,
! [X0,X1,X2,X3,X4] :
( sQ192_spl
<=> ( ~ path(head_of(sK6_skl(sK8_skl)),X4,X3)
| sK6_skl(sK8_skl) = sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl)))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f2447,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ64_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f2441,f2444,f781,f431,f547,f505]) ).
fof(f2448,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),X4)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2050,f274]) ).
fof(f2450,definition,
! [X0,X1,X2,X3,X4] :
( sQ193_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),X4)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f2453,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ59_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f2448,f2450,f762,f431,f368,f593]) ).
fof(f2455,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ path(head_of(sK6_skl(sK8_skl)),X2,X1)
| sK6_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),X4)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2052,f274]) ).
fof(f2458,definition,
! [X0,X1,X2,X3,X4] :
( sQ194_spl
<=> ( ~ path(head_of(sK6_skl(sK8_skl)),X2,X1)
| sK6_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl)))
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),X4)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f2461,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ64_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f2455,f2458,f781,f431,f368,f505]) ).
fof(f2466,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = tail_of(sK0_skl(head_of(X0),tail_of(X1)))
| tail_of(X1) = head_of(X0)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(head_of(X0),tail_of(X1))
| ~ edge(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f23]) ).
fof(f2467,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| X0 = sK0_skl(head_of(X0),tail_of(X1))
| ~ edge(sK0_skl(head_of(X0),tail_of(X1)))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),tail_of(X1)))
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = head_of(X0)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(head_of(X0),tail_of(X1))
| ~ edge(X0) ),
inference(resolution,[status(thm)],[f2466,f66]) ).
fof(f2468,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ edge(sK0_skl(head_of(X0),tail_of(X1)))
| sequential(X0,sK0_skl(head_of(X0),tail_of(X1)))
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = head_of(X0)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(head_of(X0),tail_of(X1))
| ~ edge(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2467]) ).
fof(f2474,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ28_spl
| ~ sequential(sK1_skl(X4,X3,tail_of(X1)),X7)
| ~ on_path(sK1_skl(X4,X3,tail_of(X1)),sK8_skl)
| ~ sequential(X8,sK1_skl(X2,head_of(X1),X0))
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(X1),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f686,f432]) ).
fof(f2475,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ19_spl
| ~ sequential(X7,sK1_skl(X2,head_of(X1),X0))
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(sK1_skl(X4,X3,tail_of(X1)),X7)
| ~ on_path(sK1_skl(X4,X3,tail_of(X1)),sK8_skl)
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(X1),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f686,f369]) ).
fof(f2476,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sequential(sK1_skl(X4,X3,tail_of(X1)),sK1_skl(X2,head_of(X1),X0))
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| ~ on_path(sK1_skl(X4,X3,tail_of(X1)),sK8_skl)
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(X1),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f686,f278]) ).
fof(f2477,definition,
! [X0,X1,X2,X3,X4,X7,X8] :
( sQ195_spl
<=> ( ~ sequential(sK1_skl(X4,X3,tail_of(X1)),X7)
| ~ on_path(sK1_skl(X4,X3,tail_of(X1)),sK8_skl)
| ~ sequential(X8,sK1_skl(X2,head_of(X1),X0))
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| ~ path(tail_of(X1),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f2480,plain,
( ~ sQ28_spl
| sQ10_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f2474,f2477,f295,f431]) ).
fof(f2481,definition,
! [X0,X1,X2,X3,X4,X7] :
( sQ196_spl
<=> ( ~ sequential(X7,sK1_skl(X2,head_of(X1),X0))
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(sK1_skl(X4,X3,tail_of(X1)),X7)
| ~ on_path(sK1_skl(X4,X3,tail_of(X1)),sK8_skl)
| ~ path(tail_of(X1),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f2484,plain,
( ~ sQ19_spl
| sQ10_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f2475,f2481,f295,f368]) ).
fof(f2485,definition,
! [X0,X1,X2,X3,X4] :
( sQ197_spl
<=> ( ~ sequential(sK1_skl(X4,X3,tail_of(X1)),sK1_skl(X2,head_of(X1),X0))
| ~ on_path(sK1_skl(X2,head_of(X1),X0),sK8_skl)
| ~ on_path(sK1_skl(X4,X3,tail_of(X1)),sK8_skl)
| ~ path(tail_of(X1),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f2488,plain,
( sQ10_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f2476,f2485,f295]) ).
fof(f2494,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X0),X1))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X0),X1))),sK8_skl)
| ~ sequential(X7,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X0),X1)),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f670,f432]) ).
fof(f2495,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X6,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X0),X1))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X0),X1))),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X0),X1)),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f670,f369]) ).
fof(f2496,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X0),X1))),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X0),X1))),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X0),X1)),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ),
inference(resolution,[status(thm)],[f670,f278]) ).
fof(f2502,definition,
! [X0,X1,X2,X3,X6,X7] :
( sQ198_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X0),X1))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X0),X1))),sK8_skl)
| ~ sequential(X7,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X0),X1)),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f2505,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f2494,f2502,f295,f135,f139,f431]) ).
fof(f2506,definition,
! [X0,X1,X2,X3,X6] :
( sQ199_spl
<=> ( ~ sequential(X6,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X0),X1))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X0),X1))),sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X0),X1)),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f2509,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f2495,f2506,f295,f135,f139,f368]) ).
fof(f2510,definition,
! [X0,X1,X2,X3] :
( sQ200_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X0),X1))),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(head_of(X0),X1))),sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X0),X1)),X2,X3)
| X1 = head_of(X0)
| ~ vertex(X1)
| X0 = sK0_skl(head_of(X0),X1)
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f2513,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f2496,f2510,f295,f135,f139]) ).
fof(f2522,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sequential(X2,X6)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X7,sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0))
| ~ on_path(sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| vertex(head_of(sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0)))
| ~ path(X0,head_of(sK0_skl(X1,tail_of(X2))),X3) ),
inference(resolution,[status(thm)],[f684,f432]) ).
fof(f2523,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sequential(X6,sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0))
| ~ on_path(sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X2,X6)
| ~ on_path(X2,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| vertex(head_of(sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0)))
| ~ path(X0,head_of(sK0_skl(X1,tail_of(X2))),X3) ),
inference(resolution,[status(thm)],[f684,f369]) ).
fof(f2524,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sequential(X2,sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0))
| ~ on_path(sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| vertex(head_of(sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0)))
| ~ path(X0,head_of(sK0_skl(X1,tail_of(X2))),X3) ),
inference(resolution,[status(thm)],[f684,f278]) ).
fof(f2525,definition,
! [X0,X1,X2,X3,X6,X7] :
( sQ201_spl
<=> ( ~ sequential(X2,X6)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X7,sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0))
| ~ on_path(sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| vertex(head_of(sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0)))
| ~ path(X0,head_of(sK0_skl(X1,tail_of(X2))),X3) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2528,plain,
( ~ sQ28_spl
| ~ sQ3_spl
| sQ10_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f2522,f2525,f295,f143,f431]) ).
fof(f2529,definition,
! [X0,X1,X2,X3,X6] :
( sQ202_spl
<=> ( ~ sequential(X6,sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0))
| ~ on_path(sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X2,X6)
| ~ on_path(X2,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| vertex(head_of(sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0)))
| ~ path(X0,head_of(sK0_skl(X1,tail_of(X2))),X3) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f2532,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sQ10_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f2523,f2529,f295,f143,f368]) ).
fof(f2533,definition,
! [X0,X1,X2,X3] :
( sQ203_spl
<=> ( ~ sequential(X2,sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0))
| ~ on_path(sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0),sK8_skl)
| ~ on_path(X2,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| vertex(head_of(sK1_skl(X3,head_of(sK0_skl(X1,tail_of(X2))),X0)))
| ~ path(X0,head_of(sK0_skl(X1,tail_of(X2))),X3) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2536,plain,
( ~ sQ3_spl
| sQ10_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f2524,f2533,f295,f143]) ).
fof(f2542,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ28_spl
| ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X8,sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0))
| ~ on_path(sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| vertex(head_of(sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0)))
| ~ path(X0,head_of(sK1_skl(X1,X2,tail_of(X3))),X4) ),
inference(resolution,[status(thm)],[f685,f432]) ).
fof(f2543,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ19_spl
| ~ sequential(X7,sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0))
| ~ on_path(sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| vertex(head_of(sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0)))
| ~ path(X0,head_of(sK1_skl(X1,X2,tail_of(X3))),X4) ),
inference(resolution,[status(thm)],[f685,f369]) ).
fof(f2544,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sequential(X3,sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0))
| ~ on_path(sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| vertex(head_of(sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0)))
| ~ path(X0,head_of(sK1_skl(X1,X2,tail_of(X3))),X4) ),
inference(resolution,[status(thm)],[f685,f278]) ).
fof(f2545,definition,
! [X0,X1,X2,X3,X4,X7,X8] :
( sQ204_spl
<=> ( ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X8,sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0))
| ~ on_path(sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| vertex(head_of(sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0)))
| ~ path(X0,head_of(sK1_skl(X1,X2,tail_of(X3))),X4) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2548,plain,
( ~ sQ28_spl
| sQ10_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2542,f2545,f295,f431]) ).
fof(f2549,definition,
! [X0,X1,X2,X3,X4,X7] :
( sQ205_spl
<=> ( ~ sequential(X7,sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0))
| ~ on_path(sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| vertex(head_of(sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0)))
| ~ path(X0,head_of(sK1_skl(X1,X2,tail_of(X3))),X4) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2552,plain,
( ~ sQ19_spl
| sQ10_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2543,f2549,f295,f368]) ).
fof(f2553,definition,
! [X0,X1,X2,X3,X4] :
( sQ206_spl
<=> ( ~ sequential(X3,sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0))
| ~ on_path(sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| vertex(head_of(sK1_skl(X4,head_of(sK1_skl(X1,X2,tail_of(X3))),X0)))
| ~ path(X0,head_of(sK1_skl(X1,X2,tail_of(X3))),X4) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2556,plain,
( sQ10_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f2544,f2553,f295]) ).
fof(f2557,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ~ sQ125_spl
| sequential(sK4_skl(X2,X5,sK8_skl),X4)
| ~ precedes(sK4_skl(X2,X5,sK8_skl),X4,X6)
| ~ path(X11,X12,X6)
| sequential(X5,X2)
| ~ precedes(X5,X2,sK8_skl)
| ~ path(X9,X10,sK8_skl)
| ~ sequential(sK4_skl(X2,X5,sK8_skl),X2)
| ~ path(X7,X8,sK8_skl)
| ~ sequential(sK4_skl(X4,sK4_skl(X2,X5,sK8_skl),X6),X3)
| ~ on_path(sK4_skl(X4,sK4_skl(X2,X5,sK8_skl),X6),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f1253]) ).
fof(f2558,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ125_spl
| ~ shortest_path(X7,X8,sK8_skl)
| ~ in_path(head_of(X2),X4)
| ~ path(X5,X6,X4)
| X2 = sK3_skl(head_of(X2),X4)
| ~ edge(sK3_skl(head_of(X2),X4))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X4))
| ~ sequential(sK3_skl(head_of(X2),X4),X3)
| ~ on_path(sK3_skl(head_of(X2),X4),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f743]) ).
fof(f2559,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ125_spl
| ~ shortest_path(X5,X6,sK8_skl)
| X4 = head_of(X2)
| ~ vertex(X4)
| X2 = sK0_skl(head_of(X2),X4)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X4))
| ~ sequential(sK0_skl(head_of(X2),X4),X3)
| ~ on_path(sK0_skl(head_of(X2),X4),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f671]) ).
fof(f2560,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sQ125_spl
| ~ shortest_path(X5,X6,sK8_skl)
| X4 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(X2),X4))
| ~ sequential(sK0_skl(head_of(X2),X4),X3)
| ~ on_path(sK0_skl(head_of(X2),X4),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f188]) ).
fof(f2561,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ125_spl
| ~ shortest_path(X5,X6,sK8_skl)
| head_of(X2) = X4
| ~ vertex(X4)
| X2 = sK0_skl(X4,head_of(X2))
| ~ edge(X2)
| sequential(X2,sK0_skl(X4,head_of(X2)))
| ~ sequential(sK0_skl(X4,head_of(X2)),X3)
| ~ on_path(sK0_skl(X4,head_of(X2)),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f727]) ).
fof(f2562,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ125_spl
| ~ shortest_path(X6,X7,sK8_skl)
| vertex(head_of(sK1_skl(X4,head_of(X2),X5)))
| ~ path(X5,head_of(X2),X4)
| ~ sequential(sK1_skl(X4,head_of(X2),X5),X3)
| ~ on_path(sK1_skl(X4,head_of(X2),X5),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f690]) ).
fof(f2563,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ125_spl
| ~ shortest_path(X9,X10,sK8_skl)
| ~ path(tail_of(sK3_skl(head_of(X2),X6)),X5,X4)
| ~ in_path(head_of(X2),X6)
| ~ path(X7,X8,X6)
| X2 = sK3_skl(head_of(X2),X6)
| ~ edge(sK3_skl(head_of(X2),X6))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X6))
| ~ sequential(sK1_skl(X4,X5,tail_of(sK3_skl(head_of(X2),X6))),X3)
| ~ on_path(sK1_skl(X4,X5,tail_of(sK3_skl(head_of(X2),X6))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f742]) ).
fof(f2564,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ125_spl
| ~ shortest_path(X7,X8,sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X2),X6)),X5,X4)
| X6 = head_of(X2)
| ~ vertex(X6)
| X2 = sK0_skl(head_of(X2),X6)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X6))
| ~ sequential(sK1_skl(X4,X5,tail_of(sK0_skl(head_of(X2),X6))),X3)
| ~ on_path(sK1_skl(X4,X5,tail_of(sK0_skl(head_of(X2),X6))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f670]) ).
fof(f2565,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ2_spl
| ~ sQ125_spl
| ~ shortest_path(X7,X8,sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X2),X6)),X5,X4)
| X6 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(X2),X6))
| ~ sequential(sK1_skl(X4,X5,tail_of(sK0_skl(head_of(X2),X6))),X3)
| ~ on_path(sK1_skl(X4,X5,tail_of(sK0_skl(head_of(X2),X6))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f187]) ).
fof(f2566,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ125_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(X3),X7,X6)
| vertex(head_of(sK1_skl(X2,head_of(X3),X4)))
| ~ path(X4,head_of(X3),X2)
| ~ sequential(sK1_skl(X6,X7,tail_of(X3)),X5)
| ~ on_path(sK1_skl(X6,X7,tail_of(X3)),sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(X3),X4))
| ~ on_path(sK1_skl(X2,head_of(X3),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f686]) ).
fof(f2567,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ125_spl
| ~ shortest_path(X9,X10,sK8_skl)
| ~ path(tail_of(X2),X6,X5)
| ~ in_path(head_of(X2),X3)
| ~ path(X7,X8,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X5,X6,tail_of(X2)),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(X2)),sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(X2),X3))
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f740]) ).
fof(f2568,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ125_spl
| ~ shortest_path(X7,X8,sK8_skl)
| ~ path(tail_of(X2),X6,X5)
| X3 = head_of(X2)
| ~ vertex(X3)
| X2 = sK0_skl(head_of(X2),X3)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X5,X6,tail_of(X2)),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(X2)),sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f666]) ).
fof(f2569,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ2_spl
| ~ sQ125_spl
| ~ shortest_path(X7,X8,sK8_skl)
| ~ path(tail_of(X2),X6,X5)
| X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X5,X6,tail_of(X2)),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(X2)),sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f185]) ).
fof(f2570,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ125_spl
| ~ shortest_path(X6,X7,sK8_skl)
| ~ path(tail_of(X2),X5,X4)
| ~ sequential(sK1_skl(X4,X5,tail_of(X2)),X3)
| ~ on_path(sK1_skl(X4,X5,tail_of(X2)),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f176]) ).
fof(f2571,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ125_spl
| ~ shortest_path(X7,X8,sK8_skl)
| ~ in_path(head_of(X2),X3)
| ~ path(X5,X6,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(X2),X3))
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f741]) ).
fof(f2573,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ125_spl
| X4 = head_of(sK0_skl(X2,tail_of(X3)))
| ~ vertex(head_of(sK0_skl(X2,tail_of(X3))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK0_skl(X2,tail_of(X3))),X4))
| ~ shortest_path(X6,X7,sK8_skl)
| tail_of(X3) = X2
| ~ vertex(X2)
| ~ vertex(tail_of(X3))
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ sequential(X3,X5)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(sK0_skl(X2,tail_of(X3))),X4))
| ~ on_path(sK0_skl(head_of(sK0_skl(X2,tail_of(X3))),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f489]) ).
fof(f2574,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ2_spl
| ~ sQ125_spl
| ~ shortest_path(X7,X8,sK8_skl)
| ~ path(tail_of(X4),X3,X2)
| X5 = head_of(sK1_skl(X2,X3,tail_of(X4)))
| ~ vertex(head_of(sK1_skl(X2,X3,tail_of(X4))))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5))
| ~ sequential(X4,X6)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X6,X0)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5))
| ~ on_path(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f184]) ).
fof(f2575,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ125_spl
| ~ shortest_path(X5,X6,sK8_skl)
| X3 = head_of(X2)
| ~ vertex(X3)
| X2 = sK0_skl(head_of(X2),X3)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X3))
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f667]) ).
fof(f2576,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sQ125_spl
| ~ shortest_path(X5,X6,sK8_skl)
| X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f186]) ).
fof(f2577,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ125_spl
| ~ shortest_path(X5,X6,sK8_skl)
| head_of(X3) = X2
| ~ vertex(X2)
| X3 = sK0_skl(X2,head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(X2,head_of(X3)))
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,head_of(X3)))
| ~ on_path(sK0_skl(X2,head_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f724]) ).
fof(f2578,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ125_spl
| ~ shortest_path(X5,X6,sK8_skl)
| tail_of(X3) = X2
| ~ vertex(X2)
| sK0_skl(X2,tail_of(X3)) = X3
| ~ edge(X3)
| sequential(sK0_skl(X2,tail_of(X3)),X3)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,tail_of(X3)))
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f1648]) ).
fof(f2579,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ125_spl
| ~ shortest_path(X5,X6,sK8_skl)
| tail_of(X3) = X2
| ~ vertex(X2)
| ~ vertex(tail_of(X3))
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,tail_of(X3)))
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f491]) ).
fof(f2580,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ125_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(X5),X4,X3)
| vertex(head_of(sK1_skl(X2,head_of(sK1_skl(X3,X4,tail_of(X5))),X6)))
| ~ path(X6,head_of(sK1_skl(X3,X4,tail_of(X5))),X2)
| ~ sequential(X5,X7)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X7,X0)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(sK1_skl(X3,X4,tail_of(X5))),X6))
| ~ on_path(sK1_skl(X2,head_of(sK1_skl(X3,X4,tail_of(X5))),X6),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f685]) ).
fof(f2581,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ3_spl
| ~ sQ125_spl
| ~ shortest_path(X7,X8,sK8_skl)
| tail_of(X4) = X3
| ~ vertex(X3)
| ~ vertex(tail_of(X4))
| X3 = tail_of(sK0_skl(X3,tail_of(X4)))
| vertex(head_of(sK1_skl(X2,head_of(sK0_skl(X3,tail_of(X4))),X5)))
| ~ path(X5,head_of(sK0_skl(X3,tail_of(X4))),X2)
| ~ sequential(X4,X6)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X6,X0)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(sK0_skl(X3,tail_of(X4))),X5))
| ~ on_path(sK1_skl(X2,head_of(sK0_skl(X3,tail_of(X4))),X5),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f684]) ).
fof(f2582,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ125_spl
| ~ shortest_path(X6,X7,sK8_skl)
| vertex(head_of(sK1_skl(X2,head_of(X3),X4)))
| ~ path(X4,head_of(X3),X2)
| ~ sequential(X3,X5)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(X3),X4))
| ~ on_path(sK1_skl(X2,head_of(X3),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f687]) ).
fof(f2583,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ125_spl
| ~ shortest_path(X6,X7,sK8_skl)
| ~ path(tail_of(X4),X3,X2)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,X3,tail_of(X4)))
| ~ on_path(sK1_skl(X2,X3,tail_of(X4)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f177]) ).
fof(f2588,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X2,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f560]) ).
fof(f2592,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ125_spl
| ~ precedes(X2,X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f161]) ).
fof(f2593,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| ~ sequential(X4,X4)
| ~ sequential(X4,X2)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f79]) ).
fof(f2594,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ125_spl
| ~ sequential(X7,X4)
| ~ sequential(X7,X2)
| ~ precedes(X7,X2,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f79]) ).
fof(f2596,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ125_spl
| ~ precedes(X7,X2,sK8_skl)
| ~ sequential(X4,X7)
| ~ sequential(X4,X2)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f79]) ).
fof(f2597,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| edge(X4)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f377]) ).
fof(f2598,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ125_spl
| ~ sequential(X7,X4)
| ~ on_path(X7,sK8_skl)
| precedes(X7,X2,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f366]) ).
fof(f2599,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| on_path(X2,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f76]) ).
fof(f2600,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| on_path(X4,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1448,f75]) ).
fof(f2601,definition,
! [X0,X1,X2,X3,X4,X5,X6,X11,X12] :
( sQ207_spl
<=> ( sequential(sK4_skl(X2,X5,sK8_skl),X4)
| ~ precedes(sK4_skl(X2,X5,sK8_skl),X4,X6)
| ~ path(X11,X12,X6)
| sequential(X5,X2)
| ~ precedes(X5,X2,sK8_skl)
| ~ sequential(sK4_skl(X2,X5,sK8_skl),X2)
| ~ sequential(sK4_skl(X4,sK4_skl(X2,X5,sK8_skl),X6),X3)
| ~ on_path(sK4_skl(X4,sK4_skl(X2,X5,sK8_skl),X6),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2604,plain,
( ~ sQ125_spl
| sQ5_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2557,f2601,f230,f1447]) ).
fof(f2605,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ208_spl
<=> ( ~ in_path(head_of(X2),X4)
| ~ path(X5,X6,X4)
| X2 = sK3_skl(head_of(X2),X4)
| ~ edge(sK3_skl(head_of(X2),X4))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X4))
| ~ sequential(sK3_skl(head_of(X2),X4),X3)
| ~ on_path(sK3_skl(head_of(X2),X4),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2608,plain,
( ~ sQ125_spl
| sQ10_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f2558,f2605,f295,f1447]) ).
fof(f2609,definition,
! [X0,X1,X2,X3,X4] :
( sQ209_spl
<=> ( X4 = head_of(X2)
| ~ vertex(X4)
| X2 = sK0_skl(head_of(X2),X4)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X4))
| ~ sequential(sK0_skl(head_of(X2),X4),X3)
| ~ on_path(sK0_skl(head_of(X2),X4),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2612,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ125_spl
| sQ10_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2559,f2609,f295,f1447,f135,f139]) ).
fof(f2613,definition,
! [X0,X1,X2,X3,X4] :
( sQ210_spl
<=> ( X4 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(X2),X4))
| ~ sequential(sK0_skl(head_of(X2),X4),X3)
| ~ on_path(sK0_skl(head_of(X2),X4),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2616,plain,
( ~ sQ2_spl
| ~ sQ125_spl
| sQ10_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f2560,f2613,f295,f1447,f139]) ).
fof(f2617,definition,
! [X0,X1,X2,X3,X4] :
( sQ211_spl
<=> ( head_of(X2) = X4
| ~ vertex(X4)
| X2 = sK0_skl(X4,head_of(X2))
| ~ edge(X2)
| sequential(X2,sK0_skl(X4,head_of(X2)))
| ~ sequential(sK0_skl(X4,head_of(X2)),X3)
| ~ on_path(sK0_skl(X4,head_of(X2)),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2620,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ125_spl
| sQ10_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f2561,f2617,f295,f1447,f135,f143]) ).
fof(f2621,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ212_spl
<=> ( vertex(head_of(sK1_skl(X4,head_of(X2),X5)))
| ~ path(X5,head_of(X2),X4)
| ~ sequential(sK1_skl(X4,head_of(X2),X5),X3)
| ~ on_path(sK1_skl(X4,head_of(X2),X5),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2624,plain,
( ~ sQ125_spl
| sQ10_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f2562,f2621,f295,f1447]) ).
fof(f2625,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sQ213_spl
<=> ( ~ path(tail_of(sK3_skl(head_of(X2),X6)),X5,X4)
| ~ in_path(head_of(X2),X6)
| ~ path(X7,X8,X6)
| X2 = sK3_skl(head_of(X2),X6)
| ~ edge(sK3_skl(head_of(X2),X6))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X6))
| ~ sequential(sK1_skl(X4,X5,tail_of(sK3_skl(head_of(X2),X6))),X3)
| ~ on_path(sK1_skl(X4,X5,tail_of(sK3_skl(head_of(X2),X6))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2628,plain,
( ~ sQ125_spl
| sQ10_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f2563,f2625,f295,f1447]) ).
fof(f2629,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ214_spl
<=> ( ~ path(tail_of(sK0_skl(head_of(X2),X6)),X5,X4)
| X6 = head_of(X2)
| ~ vertex(X6)
| X2 = sK0_skl(head_of(X2),X6)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X6))
| ~ sequential(sK1_skl(X4,X5,tail_of(sK0_skl(head_of(X2),X6))),X3)
| ~ on_path(sK1_skl(X4,X5,tail_of(sK0_skl(head_of(X2),X6))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2632,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ125_spl
| sQ10_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f2564,f2629,f295,f1447,f135,f139]) ).
fof(f2633,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ215_spl
<=> ( ~ path(tail_of(sK0_skl(head_of(X2),X6)),X5,X4)
| X6 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(X2),X6))
| ~ sequential(sK1_skl(X4,X5,tail_of(sK0_skl(head_of(X2),X6))),X3)
| ~ on_path(sK1_skl(X4,X5,tail_of(sK0_skl(head_of(X2),X6))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2636,plain,
( ~ sQ2_spl
| ~ sQ125_spl
| sQ10_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f2565,f2633,f295,f1447,f139]) ).
fof(f2637,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ216_spl
<=> ( ~ path(tail_of(X3),X7,X6)
| vertex(head_of(sK1_skl(X2,head_of(X3),X4)))
| ~ path(X4,head_of(X3),X2)
| ~ sequential(sK1_skl(X6,X7,tail_of(X3)),X5)
| ~ on_path(sK1_skl(X6,X7,tail_of(X3)),sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(X3),X4))
| ~ on_path(sK1_skl(X2,head_of(X3),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2640,plain,
( ~ sQ125_spl
| sQ10_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f2566,f2637,f295,f1447]) ).
fof(f2641,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sQ217_spl
<=> ( ~ path(tail_of(X2),X6,X5)
| ~ in_path(head_of(X2),X3)
| ~ path(X7,X8,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X5,X6,tail_of(X2)),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(X2)),sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(X2),X3))
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2644,plain,
( ~ sQ125_spl
| sQ10_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f2567,f2641,f295,f1447]) ).
fof(f2645,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ218_spl
<=> ( ~ path(tail_of(X2),X6,X5)
| X3 = head_of(X2)
| ~ vertex(X3)
| X2 = sK0_skl(head_of(X2),X3)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X5,X6,tail_of(X2)),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(X2)),sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2648,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ125_spl
| sQ10_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f2568,f2645,f295,f1447,f135,f139]) ).
fof(f2649,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ219_spl
<=> ( ~ path(tail_of(X2),X6,X5)
| X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X5,X6,tail_of(X2)),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(X2)),sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2652,plain,
( ~ sQ2_spl
| ~ sQ125_spl
| sQ10_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2569,f2649,f295,f1447,f139]) ).
fof(f2653,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ220_spl
<=> ( ~ path(tail_of(X2),X5,X4)
| ~ sequential(sK1_skl(X4,X5,tail_of(X2)),X3)
| ~ on_path(sK1_skl(X4,X5,tail_of(X2)),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f2656,plain,
( ~ sQ125_spl
| sQ10_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2570,f2653,f295,f1447]) ).
fof(f2657,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ221_spl
<=> ( ~ in_path(head_of(X2),X3)
| ~ path(X5,X6,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(X2),X3))
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2660,plain,
( ~ sQ125_spl
| sQ10_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2571,f2657,f295,f1447]) ).
fof(f2661,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ222_spl
<=> ( X4 = head_of(sK0_skl(X2,tail_of(X3)))
| ~ vertex(head_of(sK0_skl(X2,tail_of(X3))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK0_skl(X2,tail_of(X3))),X4))
| tail_of(X3) = X2
| ~ vertex(X2)
| ~ vertex(tail_of(X3))
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ sequential(X3,X5)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(sK0_skl(X2,tail_of(X3))),X4))
| ~ on_path(sK0_skl(head_of(sK0_skl(X2,tail_of(X3))),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2664,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ125_spl
| sQ10_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f2573,f2661,f295,f1447,f143,f139]) ).
fof(f2665,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ223_spl
<=> ( ~ path(tail_of(X4),X3,X2)
| X5 = head_of(sK1_skl(X2,X3,tail_of(X4)))
| ~ vertex(head_of(sK1_skl(X2,X3,tail_of(X4))))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5))
| ~ sequential(X4,X6)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X6,X0)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5))
| ~ on_path(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2668,plain,
( ~ sQ2_spl
| ~ sQ125_spl
| sQ10_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f2574,f2665,f295,f1447,f139]) ).
fof(f2669,definition,
! [X0,X1,X2,X3,X4] :
( sQ224_spl
<=> ( X3 = head_of(X2)
| ~ vertex(X3)
| X2 = sK0_skl(head_of(X2),X3)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X3))
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2672,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ125_spl
| sQ10_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f2575,f2669,f295,f1447,f135,f139]) ).
fof(f2673,definition,
! [X0,X1,X2,X3,X4] :
( sQ225_spl
<=> ( X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2676,plain,
( ~ sQ2_spl
| ~ sQ125_spl
| sQ10_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f2576,f2673,f295,f1447,f139]) ).
fof(f2677,definition,
! [X0,X1,X2,X3,X4] :
( sQ226_spl
<=> ( head_of(X3) = X2
| ~ vertex(X2)
| X3 = sK0_skl(X2,head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(X2,head_of(X3)))
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,head_of(X3)))
| ~ on_path(sK0_skl(X2,head_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2680,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ125_spl
| sQ10_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2577,f2677,f295,f1447,f135,f143]) ).
fof(f2681,definition,
! [X0,X1,X2,X3,X4] :
( sQ227_spl
<=> ( tail_of(X3) = X2
| ~ vertex(X2)
| sK0_skl(X2,tail_of(X3)) = X3
| ~ edge(X3)
| sequential(sK0_skl(X2,tail_of(X3)),X3)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,tail_of(X3)))
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2684,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ125_spl
| sQ10_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f2578,f2681,f295,f1447,f135,f143]) ).
fof(f2685,definition,
! [X0,X1,X2,X3,X4] :
( sQ228_spl
<=> ( tail_of(X3) = X2
| ~ vertex(X2)
| ~ vertex(tail_of(X3))
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,tail_of(X3)))
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2688,plain,
( ~ sQ3_spl
| ~ sQ125_spl
| sQ10_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f2579,f2685,f295,f1447,f143]) ).
fof(f2689,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ229_spl
<=> ( ~ path(tail_of(X5),X4,X3)
| vertex(head_of(sK1_skl(X2,head_of(sK1_skl(X3,X4,tail_of(X5))),X6)))
| ~ path(X6,head_of(sK1_skl(X3,X4,tail_of(X5))),X2)
| ~ sequential(X5,X7)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X7,X0)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(sK1_skl(X3,X4,tail_of(X5))),X6))
| ~ on_path(sK1_skl(X2,head_of(sK1_skl(X3,X4,tail_of(X5))),X6),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2692,plain,
( ~ sQ125_spl
| sQ10_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f2580,f2689,f295,f1447]) ).
fof(f2693,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ230_spl
<=> ( tail_of(X4) = X3
| ~ vertex(X3)
| ~ vertex(tail_of(X4))
| X3 = tail_of(sK0_skl(X3,tail_of(X4)))
| vertex(head_of(sK1_skl(X2,head_of(sK0_skl(X3,tail_of(X4))),X5)))
| ~ path(X5,head_of(sK0_skl(X3,tail_of(X4))),X2)
| ~ sequential(X4,X6)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X6,X0)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(sK0_skl(X3,tail_of(X4))),X5))
| ~ on_path(sK1_skl(X2,head_of(sK0_skl(X3,tail_of(X4))),X5),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2696,plain,
( ~ sQ3_spl
| ~ sQ125_spl
| sQ10_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2581,f2693,f295,f1447,f143]) ).
fof(f2697,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ231_spl
<=> ( vertex(head_of(sK1_skl(X2,head_of(X3),X4)))
| ~ path(X4,head_of(X3),X2)
| ~ sequential(X3,X5)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(X3),X4))
| ~ on_path(sK1_skl(X2,head_of(X3),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2700,plain,
( ~ sQ125_spl
| sQ10_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2582,f2697,f295,f1447]) ).
fof(f2701,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ232_spl
<=> ( ~ path(tail_of(X4),X3,X2)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,X3,tail_of(X4)))
| ~ on_path(sK1_skl(X2,X3,tail_of(X4)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2704,plain,
( ~ sQ125_spl
| sQ10_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2583,f2701,f295,f1447]) ).
fof(f2709,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f2588]) ).
fof(f2713,definition,
! [X0,X1,X2,X3,X4] :
( sQ233_spl
<=> ( ~ sequential(X4,X4)
| ~ sequential(X4,X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2716,plain,
( ~ sQ125_spl
| sQ5_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f2593,f2713,f230,f1447]) ).
fof(f2717,definition,
! [X0,X1,X2,X3,X4,X7] :
( sQ234_spl
<=> ( ~ sequential(X7,X4)
| ~ sequential(X7,X2)
| ~ precedes(X7,X2,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2718,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ234_spl
| ~ sequential(X5,X4)
| ~ sequential(X5,X2)
| ~ precedes(X5,X2,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f2717]) ).
fof(f2720,plain,
( ~ sQ125_spl
| sQ5_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f2594,f2717,f230,f1447]) ).
fof(f2722,definition,
! [X0,X1,X2,X3,X4,X7] :
( sQ235_spl
<=> ( ~ precedes(X7,X2,sK8_skl)
| ~ sequential(X4,X7)
| ~ sequential(X4,X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2725,plain,
( ~ sQ125_spl
| sQ5_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f2596,f2722,f230,f1447]) ).
fof(f2726,definition,
! [X0,X1,X2,X3,X4] :
( sQ236_spl
<=> ( edge(X4)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2729,plain,
( ~ sQ125_spl
| sQ5_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f2597,f2726,f230,f1447]) ).
fof(f2730,definition,
! [X0,X1,X2,X3,X4,X7] :
( sQ237_spl
<=> ( ~ sequential(X7,X4)
| ~ on_path(X7,sK8_skl)
| precedes(X7,X2,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2731,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ237_spl
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| precedes(X5,X2,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f2730]) ).
fof(f2733,plain,
( ~ sQ125_spl
| sQ5_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f2598,f2730,f230,f1447]) ).
fof(f2734,definition,
! [X0,X1,X2,X3,X4] :
( sQ238_spl
<=> ( on_path(X2,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2737,plain,
( ~ sQ125_spl
| sQ5_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2599,f2734,f230,f1447]) ).
fof(f2738,definition,
! [X0,X1,X2,X3,X4] :
( sQ239_spl
<=> ( on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2741,plain,
( ~ sQ125_spl
| sQ5_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2600,f2738,f230,f1447]) ).
fof(f2757,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(sK4_skl(X2,X3,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2592,f78]) ).
fof(f2762,definition,
! [X0,X1,X2,X3,X4] :
( sQ240_spl
<=> ( sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ sequential(X2,X4)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(sK4_skl(X2,X3,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2765,plain,
( ~ sQ125_spl
| sQ5_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2757,f2762,f230,f1447]) ).
fof(f2785,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sequential(X1,X6)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| ~ shortest_path(X2,X3,sK8_skl)
| X0 = tail_of(X1)
| ~ vertex(X0) ),
inference(resolution,[status(thm)],[f2234,f1448]) ).
fof(f2786,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X5,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| ~ shortest_path(X2,X3,sK8_skl)
| X0 = tail_of(X1)
| ~ vertex(X0) ),
inference(resolution,[status(thm)],[f2234,f432]) ).
fof(f2787,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sequential(X4,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| ~ shortest_path(X2,X3,sK8_skl)
| X0 = tail_of(X1)
| ~ vertex(X0) ),
inference(resolution,[status(thm)],[f2234,f369]) ).
fof(f2788,plain,
! [X0,X1,X2,X3] :
( ~ sQ2_spl
| ~ sequential(X1,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| ~ shortest_path(X2,X3,sK8_skl)
| X0 = tail_of(X1)
| ~ vertex(X0) ),
inference(resolution,[status(thm)],[f2234,f278]) ).
fof(f2794,definition,
! [X0,X1,X4,X5,X6] :
( sQ241_spl
<=> ( ~ sequential(X1,X6)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| X0 = tail_of(X1)
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2797,plain,
( ~ sQ125_spl
| ~ sQ2_spl
| sQ10_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2785,f2794,f295,f139,f1447]) ).
fof(f2798,definition,
! [X0,X1,X4,X5] :
( sQ242_spl
<=> ( ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X5,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| X0 = tail_of(X1)
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2801,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| sQ10_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2786,f2798,f295,f139,f431]) ).
fof(f2802,definition,
! [X0,X1,X4] :
( sQ243_spl
<=> ( ~ sequential(X4,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| X0 = tail_of(X1)
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2803,plain,
! [X0,X1,X2] :
( ~ sQ243_spl
| ~ sequential(X2,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| X0 = tail_of(X1)
| ~ vertex(X0) ),
inference(component_clause,[status(thm)],[f2802]) ).
fof(f2805,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| sQ10_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f2787,f2802,f295,f139,f368]) ).
fof(f2806,definition,
! [X0,X1] :
( sQ244_spl
<=> ( ~ sequential(X1,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| X0 = tail_of(X1)
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2807,plain,
! [X0,X1] :
( ~ sQ244_spl
| ~ sequential(X1,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| sequential(sK0_skl(tail_of(X1),X0),X1)
| X0 = tail_of(X1)
| ~ vertex(X0) ),
inference(component_clause,[status(thm)],[f2806]) ).
fof(f2809,plain,
( ~ sQ2_spl
| sQ10_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2788,f2806,f295,f139]) ).
fof(f2810,plain,
! [X0,X1] :
( ~ sQ244_spl
| ~ sequential(X1,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| X0 = tail_of(X1)
| ~ vertex(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2807,f336]) ).
fof(f2813,plain,
! [X0,X1,X2] :
( ~ sQ243_spl
| ~ sQ19_spl
| ~ sequential(X2,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| ~ edge(sK0_skl(tail_of(X1),X0))
| X0 = tail_of(X1)
| ~ vertex(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2803,f429]) ).
fof(f2814,plain,
! [X0,X1] :
( ~ sQ244_spl
| ~ sequential(X1,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| X0 = tail_of(X1)
| ~ vertex(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2810,f199]) ).
fof(f2822,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ125_spl
| ~ sequential(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),X9)
| ~ on_path(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),sK8_skl)
| ~ sequential(X9,X7)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X8,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(sK1_skl(X2,head_of(X1),X0)),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f689,f1448]) ).
fof(f2823,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ28_spl
| ~ sequential(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),X7)
| ~ on_path(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),sK8_skl)
| ~ sequential(X8,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(sK1_skl(X2,head_of(X1),X0)),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f689,f432]) ).
fof(f2824,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ19_spl
| ~ sequential(X7,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),X7)
| ~ on_path(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),sK8_skl)
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(sK1_skl(X2,head_of(X1),X0)),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f689,f369]) ).
fof(f2825,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sequential(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),sK8_skl)
| ~ shortest_path(X5,X6,sK8_skl)
| ~ path(tail_of(sK1_skl(X2,head_of(X1),X0)),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ),
inference(resolution,[status(thm)],[f689,f278]) ).
fof(f2826,definition,
! [X0,X1,X2,X3,X4,X7,X8,X9] :
( sQ245_spl
<=> ( ~ sequential(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),X9)
| ~ on_path(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),sK8_skl)
| ~ sequential(X9,X7)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X8,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| ~ path(tail_of(sK1_skl(X2,head_of(X1),X0)),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2829,plain,
( ~ sQ125_spl
| sQ10_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2822,f2826,f295,f1447]) ).
fof(f2830,definition,
! [X0,X1,X2,X3,X4,X7,X8] :
( sQ246_spl
<=> ( ~ sequential(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),X7)
| ~ on_path(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),sK8_skl)
| ~ sequential(X8,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| ~ path(tail_of(sK1_skl(X2,head_of(X1),X0)),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2833,plain,
( ~ sQ28_spl
| sQ10_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2823,f2830,f295,f431]) ).
fof(f2834,definition,
! [X0,X1,X2,X3,X4,X7] :
( sQ247_spl
<=> ( ~ sequential(X7,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),X7)
| ~ on_path(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),sK8_skl)
| ~ path(tail_of(sK1_skl(X2,head_of(X1),X0)),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2837,plain,
( ~ sQ19_spl
| sQ10_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2824,f2834,f295,f368]) ).
fof(f2838,definition,
! [X0,X1,X2,X3,X4] :
( sQ248_spl
<=> ( ~ sequential(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK1_skl(X4,X3,tail_of(sK1_skl(X2,head_of(X1),X0))),sK8_skl)
| ~ path(tail_of(sK1_skl(X2,head_of(X1),X0)),X3,X4)
| vertex(head_of(sK1_skl(X2,head_of(X1),X0)))
| ~ path(X0,head_of(X1),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2841,plain,
( sQ10_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2825,f2838,f295]) ).
fof(f2848,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X3)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f2050]) ).
fof(f2849,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK7_skl(sK8_skl),X3)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f1878]) ).
fof(f2850,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f1852]) ).
fof(f2851,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f1828]) ).
fof(f2852,plain,
! [X0,X1,X2] :
( ~ sQ172_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X2)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f2104]) ).
fof(f2853,plain,
! [X0,X1,X2] :
( ~ sQ165_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f1984]) ).
fof(f2854,plain,
! [X0,X1,X2] :
( ~ sQ163_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(X2,sK8_skl)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ sequential(X2,X1)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f1966]) ).
fof(f2855,plain,
! [X0,X1,X2] :
( ~ sQ147_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(X2,sK8_skl)
| ~ sequential(X2,X1)
| ~ sequential(X2,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f1886]) ).
fof(f2856,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X2)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f834]) ).
fof(f2857,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK6_skl(sK8_skl))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f1259]) ).
fof(f2858,plain,
! [X0,X1] :
( ~ sQ90_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ sequential(X1,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f1171]) ).
fof(f2859,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X1)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f1163]) ).
fof(f2860,plain,
! [X0,X1] :
( ~ sQ71_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f863]) ).
fof(f2861,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ sQ49_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f598]) ).
fof(f2862,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f647]) ).
fof(f2863,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f601]) ).
fof(f2864,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X3)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f2052]) ).
fof(f2865,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK6_skl(sK8_skl),X3)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f1879]) ).
fof(f2866,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f1854]) ).
fof(f2867,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f1830]) ).
fof(f2868,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X2,sK7_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f1976]) ).
fof(f2869,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X2)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f836]) ).
fof(f2870,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f510]) ).
fof(f2871,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK6_skl(sK8_skl))
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ),
inference(resolution,[status(thm)],[f719,f513]) ).
fof(f2929,definition,
! [X0,X1,X2,X3] :
( sQ249_spl
<=> ( ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X3)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2932,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2848,f2929,f762,f135,f143,f431,f368,f593]) ).
fof(f2933,definition,
! [X0,X1,X2,X3] :
( sQ250_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),X3)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2936,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2849,f2933,f762,f135,f143,f431,f547,f593]) ).
fof(f2937,definition,
! [X0,X1,X2,X3] :
( sQ251_spl
<=> ( ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2940,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2850,f2937,f762,f135,f143,f431,f547,f593]) ).
fof(f2941,definition,
! [X0,X1,X2,X3] :
( sQ252_spl
<=> ( ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2944,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2851,f2941,f762,f135,f143,f431,f547,f593]) ).
fof(f2945,definition,
! [X0,X1,X2] :
( sQ253_spl
<=> ( ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X2)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2948,plain,
( ~ sQ172_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f2852,f2945,f762,f135,f143,f2103]) ).
fof(f2949,definition,
! [X0,X1,X2] :
( sQ254_spl
<=> ( ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2952,plain,
( ~ sQ165_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2853,f2949,f762,f135,f143,f1983]) ).
fof(f2953,definition,
! [X0,X1,X2] :
( sQ255_spl
<=> ( ~ on_path(X2,sK8_skl)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ sequential(X2,X1)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2956,plain,
( ~ sQ163_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2854,f2953,f762,f135,f143,f1965]) ).
fof(f2957,definition,
! [X0,X1,X2] :
( sQ256_spl
<=> ( ~ on_path(X2,sK8_skl)
| ~ sequential(X2,X1)
| ~ sequential(X2,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2960,plain,
( ~ sQ147_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2855,f2957,f762,f135,f143,f1885]) ).
fof(f2961,definition,
! [X0,X1,X2] :
( sQ257_spl
<=> ( ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X2)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2964,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2856,f2961,f762,f135,f143,f368,f593]) ).
fof(f2965,definition,
! [X0] :
( sQ258_spl
<=> ( ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK6_skl(sK8_skl))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2968,plain,
( ~ sQ99_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f2857,f2965,f762,f135,f143,f1258]) ).
fof(f2969,definition,
! [X0,X1] :
( sQ259_spl
<=> ( ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ sequential(X1,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2972,plain,
( ~ sQ90_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2858,f2969,f762,f135,f143,f1170]) ).
fof(f2973,definition,
! [X0,X1] :
( sQ260_spl
<=> ( ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X1)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2976,plain,
( ~ sQ89_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2859,f2973,f762,f135,f143,f1162]) ).
fof(f2977,definition,
! [X0,X1] :
( sQ261_spl
<=> ( ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2980,plain,
( ~ sQ71_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2860,f2977,f762,f135,f143,f862]) ).
fof(f2981,definition,
! [X0,X1] :
( sQ262_spl
<=> ( ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2984,plain,
( ~ sQ19_spl
| ~ sQ49_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f2861,f2981,f762,f135,f143,f593,f368]) ).
fof(f2985,definition,
! [X0] :
( sQ263_spl
<=> ( ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2988,plain,
( ~ sQ56_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2862,f2985,f762,f135,f143,f646]) ).
fof(f2989,definition,
! [X0] :
( sQ264_spl
<=> ( ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2992,plain,
( ~ sQ49_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2863,f2989,f762,f135,f143,f593]) ).
fof(f2993,definition,
! [X0,X1,X2,X3] :
( sQ265_spl
<=> ( ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X3)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2996,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ64_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2864,f2993,f781,f135,f143,f431,f368,f505]) ).
fof(f2997,definition,
! [X0,X1,X2,X3] :
( sQ266_spl
<=> ( ~ sequential(sK6_skl(sK8_skl),X3)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f3000,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ64_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2865,f2997,f781,f135,f143,f431,f547,f505]) ).
fof(f3001,definition,
! [X0,X1,X2,X3] :
( sQ267_spl
<=> ( ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f3004,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ64_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2866,f3001,f781,f135,f143,f431,f547,f505]) ).
fof(f3005,definition,
! [X0,X1,X2,X3] :
( sQ268_spl
<=> ( ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f3008,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ64_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2867,f3005,f781,f135,f143,f431,f547,f505]) ).
fof(f3009,definition,
! [X0,X1,X2] :
( sQ269_spl
<=> ( ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X2,sK7_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f3012,plain,
( ~ sQ164_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ64_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2868,f3009,f781,f135,f143,f1975]) ).
fof(f3013,definition,
! [X0,X1,X2] :
( sQ270_spl
<=> ( ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X2)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f3016,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ64_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2869,f3013,f781,f135,f143,f368,f505]) ).
fof(f3017,definition,
! [X0,X1] :
( sQ271_spl
<=> ( ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f3020,plain,
( ~ sQ19_spl
| ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ64_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2870,f3017,f781,f135,f143,f505,f368]) ).
fof(f3021,definition,
! [X0] :
( sQ272_spl
<=> ( ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK6_skl(sK8_skl))
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f3024,plain,
( ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ64_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2871,f3021,f781,f135,f143,f505]) ).
fof(f3127,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0)))
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ),
inference(resolution,[status(thm)],[f718,f720]) ).
fof(f3129,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(X1,sK0_skl(tail_of(X1),head_of(X0)),X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ),
inference(equality_resolution,[status(thm)],[f718]) ).
fof(f3130,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f3127]) ).
fof(f3233,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X6)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f2050]) ).
fof(f3234,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK7_skl(sK8_skl),X6)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X6,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f1878]) ).
fof(f3235,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,sK7_skl(sK8_skl))
| ~ sequential(X6,X5)
| ~ sequential(X4,X5)
| ~ on_path(X5,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f1852]) ).
fof(f3236,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))))
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f1828]) ).
fof(f3237,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ172_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X5)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f2104]) ).
fof(f3238,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ165_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK6_skl(sK8_skl),X5)
| ~ sequential(X4,X5)
| ~ on_path(X5,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f1984]) ).
fof(f3239,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ163_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,sK6_skl(sK8_skl))
| ~ sequential(X5,X4)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f1966]) ).
fof(f3240,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ147_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))))
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f1886]) ).
fof(f3241,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X5)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f834]) ).
fof(f3242,plain,
! [X0,X1,X2,X3] :
( ~ sQ99_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK6_skl(sK8_skl))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f1259]) ).
fof(f3243,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ90_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f1171]) ).
fof(f3244,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X4)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f1163]) ).
fof(f3245,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ71_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f863]) ).
fof(f3246,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ49_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f598]) ).
fof(f3247,plain,
! [X0,X1,X2,X3] :
( ~ sQ56_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f647]) ).
fof(f3248,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK7_skl(sK8_skl))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f601]) ).
fof(f3249,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X6)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f2052]) ).
fof(f3250,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK6_skl(sK8_skl),X6)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X6,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f1879]) ).
fof(f3251,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,sK6_skl(sK8_skl))
| ~ sequential(X6,X5)
| ~ sequential(X4,X5)
| ~ on_path(X5,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f1854]) ).
fof(f3252,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))))
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f1830]) ).
fof(f3253,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ164_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X5,sK7_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f1976]) ).
fof(f3254,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X5)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f836]) ).
fof(f3255,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f510]) ).
fof(f3256,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK6_skl(sK8_skl))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f3130,f513]) ).
fof(f3307,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| edge(sK0_skl(tail_of(X1),head_of(X0)))
| ~ precedes(X1,X0,X4)
| ~ shortest_path(X2,X3,X4)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0) ),
inference(resolution,[status(thm)],[f3130,f63]) ).
fof(f3315,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ273_spl
<=> ( ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X6)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f3318,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ273_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3233,f762,f3315,f135,f143,f431,f368,f593]) ).
fof(f3319,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ274_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),X6)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X6,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f3322,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ274_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3234,f762,f3319,f135,f143,f431,f547,f593]) ).
fof(f3323,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ275_spl
<=> ( ~ on_path(X6,sK8_skl)
| ~ sequential(X6,sK7_skl(sK8_skl))
| ~ sequential(X6,X5)
| ~ sequential(X4,X5)
| ~ on_path(X5,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f3326,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ275_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3235,f762,f3323,f135,f143,f431,f547,f593]) ).
fof(f3327,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ276_spl
<=> ( ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))))
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f3330,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ276_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3236,f762,f3327,f135,f143,f431,f547,f593]) ).
fof(f3331,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ277_spl
<=> ( ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X5)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f3334,plain,
( ~ sQ172_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ277_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3237,f762,f3331,f135,f143,f2103]) ).
fof(f3335,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ278_spl
<=> ( ~ sequential(sK6_skl(sK8_skl),X5)
| ~ sequential(X4,X5)
| ~ on_path(X5,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f3338,plain,
( ~ sQ165_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ278_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3238,f762,f3335,f135,f143,f1983]) ).
fof(f3339,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ279_spl
<=> ( ~ on_path(X5,sK8_skl)
| ~ sequential(X5,sK6_skl(sK8_skl))
| ~ sequential(X5,X4)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f3342,plain,
( ~ sQ163_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ279_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3239,f762,f3339,f135,f143,f1965]) ).
fof(f3343,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ280_spl
<=> ( ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))))
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f3346,plain,
( ~ sQ147_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ280_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3240,f762,f3343,f135,f143,f1885]) ).
fof(f3347,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ281_spl
<=> ( ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X5)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f3350,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ281_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3241,f762,f3347,f135,f143,f368,f593]) ).
fof(f3351,definition,
! [X0,X1,X2,X3] :
( sQ282_spl
<=> ( ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK6_skl(sK8_skl))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f3352,plain,
! [X0,X1,X2,X3] :
( ~ sQ282_spl
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK6_skl(sK8_skl))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ),
inference(component_clause,[status(thm)],[f3351]) ).
fof(f3354,plain,
( ~ sQ99_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ282_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3242,f762,f3351,f135,f143,f1258]) ).
fof(f3355,definition,
! [X0,X1,X2,X3,X4] :
( sQ283_spl
<=> ( ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f3358,plain,
( ~ sQ90_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ283_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3243,f762,f3355,f135,f143,f1170]) ).
fof(f3359,definition,
! [X0,X1,X2,X3,X4] :
( sQ284_spl
<=> ( ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X4)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f3362,plain,
( ~ sQ89_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ284_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3244,f762,f3359,f135,f143,f1162]) ).
fof(f3363,definition,
! [X0,X1,X2,X3,X4] :
( sQ285_spl
<=> ( ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f3366,plain,
( ~ sQ71_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ285_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3245,f762,f3363,f135,f143,f862]) ).
fof(f3367,definition,
! [X0,X1,X2,X3,X4] :
( sQ286_spl
<=> ( ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f3370,plain,
( ~ sQ19_spl
| ~ sQ49_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ286_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3246,f762,f3367,f135,f143,f593,f368]) ).
fof(f3371,definition,
! [X0,X1,X2,X3] :
( sQ287_spl
<=> ( ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f3374,plain,
( ~ sQ56_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ287_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3247,f762,f3371,f135,f143,f646]) ).
fof(f3375,definition,
! [X0,X1,X2,X3] :
( sQ288_spl
<=> ( ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK7_skl(sK8_skl))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f3378,plain,
( ~ sQ49_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ288_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3248,f762,f3375,f135,f143,f593]) ).
fof(f3379,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ289_spl
<=> ( ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X6)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f3382,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ289_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f3249,f781,f3379,f135,f143,f431,f368,f505]) ).
fof(f3383,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ290_spl
<=> ( ~ sequential(sK6_skl(sK8_skl),X6)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X6,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f3386,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ290_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f3250,f781,f3383,f135,f143,f431,f547,f505]) ).
fof(f3387,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ291_spl
<=> ( ~ on_path(X6,sK8_skl)
| ~ sequential(X6,sK6_skl(sK8_skl))
| ~ sequential(X6,X5)
| ~ sequential(X4,X5)
| ~ on_path(X5,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f3390,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ291_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f3251,f781,f3387,f135,f143,f431,f547,f505]) ).
fof(f3391,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ292_spl
<=> ( ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))))
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f3394,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ292_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f3252,f781,f3391,f135,f143,f431,f547,f505]) ).
fof(f3395,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ293_spl
<=> ( ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X5,sK7_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f3398,plain,
( ~ sQ164_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ293_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f3253,f781,f3395,f135,f143,f1975]) ).
fof(f3399,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ294_spl
<=> ( ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X5)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f3402,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ294_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f3254,f781,f3399,f135,f143,f368,f505]) ).
fof(f3403,definition,
! [X0,X1,X2,X3,X4] :
( sQ295_spl
<=> ( ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f3406,plain,
( ~ sQ19_spl
| ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ295_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f3255,f781,f3403,f135,f143,f505,f368]) ).
fof(f3407,definition,
! [X0,X1,X2,X3] :
( sQ296_spl
<=> ( ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK6_skl(sK8_skl))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f3410,plain,
( ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ296_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f3256,f781,f3407,f135,f143,f505]) ).
fof(f3543,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ125_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(X0)),X8)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ sequential(X8,X6)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f723,f1448]) ).
fof(f3544,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(X0)),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ sequential(X7,sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f723,f432]) ).
fof(f3545,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X6,sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(X0)),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f723,f369]) ).
fof(f3546,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(X0)),sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f723,f278]) ).
fof(f3547,definition,
! [X0,X1,X2,X3,X6,X7,X8] :
( sQ297_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(X0)),X8)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ sequential(X8,X6)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f3550,plain,
( ~ sQ125_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f3543,f3547,f295,f135,f143,f1447]) ).
fof(f3551,definition,
! [X0,X1,X2,X3,X6,X7] :
( sQ298_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(X0)),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ sequential(X7,sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f3554,plain,
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3544,f3551,f295,f135,f143,f431]) ).
fof(f3555,definition,
! [X0,X1,X2,X3,X6] :
( sQ299_spl
<=> ( ~ sequential(X6,sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(X0)),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f3558,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3545,f3555,f295,f135,f143,f368]) ).
fof(f3559,definition,
! [X0,X1,X2,X3] :
( sQ300_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(X0)),sK0_skl(X1,head_of(X0)))
| ~ on_path(sK0_skl(X1,head_of(X0)),sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(X0)),sK8_skl)
| ~ path(tail_of(X0),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f3562,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3546,f3559,f295,f135,f143]) ).
fof(f3589,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ125_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),X8)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),sK8_skl)
| ~ sequential(X8,X6)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(sK0_skl(X1,head_of(X0))),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f726,f1448]) ).
fof(f3590,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),sK8_skl)
| ~ sequential(X7,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(sK0_skl(X1,head_of(X0))),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f726,f432]) ).
fof(f3591,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X6,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(sK0_skl(X1,head_of(X0))),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f726,f369]) ).
fof(f3592,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(sK0_skl(X1,head_of(X0))),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ),
inference(resolution,[status(thm)],[f726,f278]) ).
fof(f3598,definition,
! [X0,X1,X2,X3,X6,X7,X8] :
( sQ301_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),X8)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),sK8_skl)
| ~ sequential(X8,X6)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(tail_of(sK0_skl(X1,head_of(X0))),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f3601,plain,
( ~ sQ125_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3589,f3598,f295,f135,f143,f1447]) ).
fof(f3602,definition,
! [X0,X1,X2,X3,X6,X7] :
( sQ302_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),sK8_skl)
| ~ sequential(X7,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(tail_of(sK0_skl(X1,head_of(X0))),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f3605,plain,
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3590,f3602,f295,f135,f143,f431]) ).
fof(f3606,definition,
! [X0,X1,X2,X3,X6] :
( sQ303_spl
<=> ( ~ sequential(X6,X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),sK8_skl)
| ~ path(tail_of(sK0_skl(X1,head_of(X0))),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f3609,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3591,f3606,f295,f135,f143,f368]) ).
fof(f3610,definition,
! [X0,X1,X2,X3] :
( sQ304_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(X1,head_of(X0)))),sK8_skl)
| ~ path(tail_of(sK0_skl(X1,head_of(X0))),X2,X3)
| head_of(X0) = X1
| ~ vertex(X1)
| X0 = sK0_skl(X1,head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(X1,head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f3613,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3592,f3610,f295,f135,f143]) ).
fof(f3706,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ125_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X2,X7)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X7,X5)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X5,sK8_skl)
| ~ shortest_path(X3,X4,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| head_of(sK0_skl(X1,tail_of(X2))) = tail_of(X0)
| ~ vertex(head_of(sK0_skl(X1,tail_of(X2))))
| sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),X0) ),
inference(resolution,[status(thm)],[f907,f1448]) ).
fof(f3707,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X6,sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X5,sK8_skl)
| ~ shortest_path(X3,X4,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| head_of(sK0_skl(X1,tail_of(X2))) = tail_of(X0)
| ~ vertex(head_of(sK0_skl(X1,tail_of(X2))))
| sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),X0) ),
inference(resolution,[status(thm)],[f907,f432]) ).
fof(f3708,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X5,sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ shortest_path(X3,X4,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| head_of(sK0_skl(X1,tail_of(X2))) = tail_of(X0)
| ~ vertex(head_of(sK0_skl(X1,tail_of(X2))))
| sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),X0) ),
inference(resolution,[status(thm)],[f907,f369]) ).
fof(f3709,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X2,sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ shortest_path(X3,X4,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| head_of(sK0_skl(X1,tail_of(X2))) = tail_of(X0)
| ~ vertex(head_of(sK0_skl(X1,tail_of(X2))))
| sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),X0) ),
inference(resolution,[status(thm)],[f907,f278]) ).
fof(f3714,definition,
! [X0,X1,X2,X5,X6,X7] :
( sQ305_spl
<=> ( ~ sequential(X2,X7)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X7,X5)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X5,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| head_of(sK0_skl(X1,tail_of(X2))) = tail_of(X0)
| ~ vertex(head_of(sK0_skl(X1,tail_of(X2))))
| sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f3717,plain,
( ~ sQ125_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3706,f3714,f295,f135,f139,f143,f1447]) ).
fof(f3718,definition,
! [X0,X1,X2,X5,X6] :
( sQ306_spl
<=> ( ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X6,sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X5,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| head_of(sK0_skl(X1,tail_of(X2))) = tail_of(X0)
| ~ vertex(head_of(sK0_skl(X1,tail_of(X2))))
| sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f3721,plain,
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f3707,f3718,f295,f135,f139,f143,f431]) ).
fof(f3722,definition,
! [X0,X1,X2,X5] :
( sQ307_spl
<=> ( ~ sequential(X5,sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| head_of(sK0_skl(X1,tail_of(X2))) = tail_of(X0)
| ~ vertex(head_of(sK0_skl(X1,tail_of(X2))))
| sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f3725,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3708,f3722,f295,f135,f139,f143,f368]) ).
fof(f3726,definition,
! [X0,X1,X2] :
( sQ308_spl
<=> ( ~ sequential(X2,sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),sK8_skl)
| ~ on_path(X2,sK8_skl)
| tail_of(X2) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(X2))
| X1 = tail_of(sK0_skl(X1,tail_of(X2)))
| head_of(sK0_skl(X1,tail_of(X2))) = tail_of(X0)
| ~ vertex(head_of(sK0_skl(X1,tail_of(X2))))
| sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(X2)))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f3729,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f3709,f3726,f295,f135,f139,f143]) ).
fof(f3789,plain,
! [X0,X1,X2] :
( ~ sQ142_spl
| ~ sQ19_spl
| ~ sequential(X2,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1707,f199]) ).
fof(f3801,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X1,X6)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f910,f1448]) ).
fof(f3802,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X5,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f910,f432]) ).
fof(f3803,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X4,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f910,f369]) ).
fof(f3804,plain,
! [X0,X1,X2,X3] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X1,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f910,f278]) ).
fof(f3809,definition,
! [X0,X1,X4,X5,X6] :
( sQ309_spl
<=> ( ~ sequential(X1,X6)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f3812,plain,
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f3801,f3809,f295,f135,f139,f1447]) ).
fof(f3813,definition,
! [X0,X1,X4,X5] :
( sQ310_spl
<=> ( ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X5,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f3816,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3802,f3813,f295,f135,f139,f431]) ).
fof(f3817,definition,
! [X0,X1,X4] :
( sQ311_spl
<=> ( ~ sequential(X4,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f3820,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3803,f3817,f295,f135,f139,f368]) ).
fof(f3821,definition,
! [X0,X1] :
( sQ312_spl
<=> ( ~ sequential(X1,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3822,plain,
! [X0,X1] :
( ~ sQ312_spl
| ~ sequential(X1,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(component_clause,[status(thm)],[f3821]) ).
fof(f3824,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3804,f3821,f295,f135,f139]) ).
fof(f3825,plain,
! [X0,X1] :
( ~ sQ312_spl
| ~ sequential(X1,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| head_of(X1) = tail_of(X0)
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3822,f245]) ).
fof(f3834,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(tail_of(X0),head_of(X1)),X6)
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f912,f1448]) ).
fof(f3835,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(tail_of(X0),head_of(X1)),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ sequential(X5,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f912,f432]) ).
fof(f3836,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X4,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(X1)),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f912,f369]) ).
fof(f3837,plain,
! [X0,X1,X2,X3] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(tail_of(X0),head_of(X1)),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f912,f278]) ).
fof(f3842,definition,
! [X0,X1,X4,X5,X6] :
( sQ313_spl
<=> ( ~ sequential(sK0_skl(tail_of(X0),head_of(X1)),X6)
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3845,plain,
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3834,f3842,f295,f135,f139,f1447]) ).
fof(f3846,definition,
! [X0,X1,X4,X5] :
( sQ314_spl
<=> ( ~ sequential(sK0_skl(tail_of(X0),head_of(X1)),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ sequential(X5,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3849,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f3835,f3846,f295,f135,f139,f431]) ).
fof(f3850,definition,
! [X0,X1,X4] :
( sQ315_spl
<=> ( ~ sequential(X4,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(X1)),X4)
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f3853,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3836,f3850,f295,f135,f139,f368]) ).
fof(f3854,definition,
! [X0,X1] :
( sQ316_spl
<=> ( ~ sequential(sK0_skl(tail_of(X0),head_of(X1)),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3855,plain,
! [X0,X1] :
( ~ sQ316_spl
| ~ sequential(sK0_skl(tail_of(X0),head_of(X1)),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(component_clause,[status(thm)],[f3854]) ).
fof(f3857,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f3837,f3854,f295,f135,f139]) ).
fof(f3858,plain,
! [X0,X1] :
( ~ sQ316_spl
| ~ sequential(sK0_skl(tail_of(X0),head_of(X1)),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| head_of(X1) = tail_of(X0)
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3855,f245]) ).
fof(f3867,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X3,X8)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X8,X6)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| head_of(sK1_skl(X1,X2,tail_of(X3))) = tail_of(X0)
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(X3))))
| sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),X0) ),
inference(resolution,[status(thm)],[f908,f1448]) ).
fof(f3868,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X7,sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| head_of(sK1_skl(X1,X2,tail_of(X3))) = tail_of(X0)
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(X3))))
| sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),X0) ),
inference(resolution,[status(thm)],[f908,f432]) ).
fof(f3869,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X6,sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| head_of(sK1_skl(X1,X2,tail_of(X3))) = tail_of(X0)
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(X3))))
| sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),X0) ),
inference(resolution,[status(thm)],[f908,f369]) ).
fof(f3870,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X3,sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| head_of(sK1_skl(X1,X2,tail_of(X3))) = tail_of(X0)
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(X3))))
| sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),X0) ),
inference(resolution,[status(thm)],[f908,f278]) ).
fof(f3871,definition,
! [X0,X1,X2,X3,X6,X7,X8] :
( sQ317_spl
<=> ( ~ sequential(X3,X8)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X8,X6)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| head_of(sK1_skl(X1,X2,tail_of(X3))) = tail_of(X0)
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(X3))))
| sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3874,plain,
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3867,f3871,f295,f135,f139,f1447]) ).
fof(f3875,definition,
! [X0,X1,X2,X3,X6,X7] :
( sQ318_spl
<=> ( ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X7,sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| head_of(sK1_skl(X1,X2,tail_of(X3))) = tail_of(X0)
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(X3))))
| sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f3878,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3868,f3875,f295,f135,f139,f431]) ).
fof(f3879,definition,
! [X0,X1,X2,X3,X6] :
( sQ319_spl
<=> ( ~ sequential(X6,sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| head_of(sK1_skl(X1,X2,tail_of(X3))) = tail_of(X0)
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(X3))))
| sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3882,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f3869,f3879,f295,f135,f139,f368]) ).
fof(f3883,definition,
! [X0,X1,X2,X3] :
( sQ320_spl
<=> ( ~ sequential(X3,sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))))
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ path(tail_of(X3),X2,X1)
| head_of(sK1_skl(X1,X2,tail_of(X3))) = tail_of(X0)
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(X3))))
| sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK1_skl(X1,X2,tail_of(X3)))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f3886,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3870,f3883,f295,f135,f139]) ).
fof(f3892,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(X1)),X8)
| ~ on_path(sK1_skl(X3,X2,tail_of(X1)),sK8_skl)
| ~ sequential(X8,X6)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X1),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f909,f1448]) ).
fof(f3893,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(X1)),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(X1)),sK8_skl)
| ~ sequential(X7,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X1),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f909,f432]) ).
fof(f3894,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X6,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(X1)),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(X1)),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X1),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f909,f369]) ).
fof(f3895,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(X1)),sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(X1)),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(X1),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f909,f278]) ).
fof(f3896,definition,
! [X0,X1,X2,X3,X6,X7,X8] :
( sQ321_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(X1)),X8)
| ~ on_path(sK1_skl(X3,X2,tail_of(X1)),sK8_skl)
| ~ sequential(X8,X6)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(tail_of(X1),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3899,plain,
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f3892,f3896,f295,f135,f139,f1447]) ).
fof(f3900,definition,
! [X0,X1,X2,X3,X6,X7] :
( sQ322_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(X1)),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(X1)),sK8_skl)
| ~ sequential(X7,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(tail_of(X1),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3903,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3893,f3900,f295,f135,f139,f431]) ).
fof(f3904,definition,
! [X0,X1,X2,X3,X6] :
( sQ323_spl
<=> ( ~ sequential(X6,sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(X1)),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(X1)),sK8_skl)
| ~ path(tail_of(X1),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f3907,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3894,f3904,f295,f135,f139,f368]) ).
fof(f3908,definition,
! [X0,X1,X2,X3] :
( sQ324_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(X1)),sK0_skl(tail_of(X0),head_of(X1)))
| ~ on_path(sK0_skl(tail_of(X0),head_of(X1)),sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(X1)),sK8_skl)
| ~ path(tail_of(X1),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f3911,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f3895,f3908,f295,f135,f139]) ).
fof(f3945,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),X8)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),sK8_skl)
| ~ sequential(X8,X6)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(sK0_skl(tail_of(X0),head_of(X1))),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f911,f1448]) ).
fof(f3946,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),sK8_skl)
| ~ sequential(X7,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(sK0_skl(tail_of(X0),head_of(X1))),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f911,f432]) ).
fof(f3947,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X6,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(sK0_skl(tail_of(X0),head_of(X1))),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f911,f369]) ).
fof(f3948,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),sK8_skl)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ path(tail_of(sK0_skl(tail_of(X0),head_of(X1))),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ),
inference(resolution,[status(thm)],[f911,f278]) ).
fof(f3953,definition,
! [X0,X1,X2,X3,X6,X7,X8] :
( sQ325_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),X8)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),sK8_skl)
| ~ sequential(X8,X6)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(tail_of(sK0_skl(tail_of(X0),head_of(X1))),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f3956,plain,
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f3945,f3953,f295,f135,f139,f1447]) ).
fof(f3957,definition,
! [X0,X1,X2,X3,X6,X7] :
( sQ326_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),sK8_skl)
| ~ sequential(X7,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| ~ path(tail_of(sK0_skl(tail_of(X0),head_of(X1))),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f3960,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f3946,f3957,f295,f135,f139,f431]) ).
fof(f3961,definition,
! [X0,X1,X2,X3,X6] :
( sQ327_spl
<=> ( ~ sequential(X6,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),X6)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),sK8_skl)
| ~ path(tail_of(sK0_skl(tail_of(X0),head_of(X1))),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f3964,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f3947,f3961,f295,f135,f139,f368]) ).
fof(f3965,definition,
! [X0,X1,X2,X3] :
( sQ328_spl
<=> ( ~ sequential(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK1_skl(X3,X2,tail_of(sK0_skl(tail_of(X0),head_of(X1)))),sK8_skl)
| ~ path(tail_of(sK0_skl(tail_of(X0),head_of(X1))),X2,X3)
| head_of(X1) = tail_of(X0)
| ~ vertex(head_of(X1))
| sK0_skl(tail_of(X0),head_of(X1)) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f3968,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f3948,f3965,f295,f135,f139]) ).
fof(f3973,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))),X3)
| ~ sequential(X3,X1)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))) = sK6_skl(sK8_skl)
| ~ edge(sK6_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))))
| tail_of(sK6_skl(sK8_skl)) = tail_of(X0)
| sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))),X0) ),
inference(resolution,[status(thm)],[f914,f1838]) ).
fof(f3974,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X3)
| ~ sequential(X3,X1)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,sK7_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X0)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X0) ),
inference(resolution,[status(thm)],[f914,f1836]) ).
fof(f3975,plain,
! [X0,X1,X2] :
( ~ sQ156_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X2)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X0)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X0) ),
inference(resolution,[status(thm)],[f914,f1932]) ).
fof(f3976,plain,
! [X0,X1] :
( ~ sQ91_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X1)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X0)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X0) ),
inference(resolution,[status(thm)],[f914,f1177]) ).
fof(f3977,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),sK6_skl(sK8_skl))
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X0)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X0) ),
inference(resolution,[status(thm)],[f914,f643]) ).
fof(f4034,definition,
! [X0,X1,X2,X3] :
( sQ329_spl
<=> ( ~ on_path(sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))),X3)
| ~ sequential(X3,X1)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))) = sK6_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))))
| tail_of(sK6_skl(sK8_skl)) = tail_of(X0)
| sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f4037,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ64_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f3973,f4034,f781,f135,f139,f431,f547,f505]) ).
fof(f4038,definition,
! [X0,X1,X2,X3] :
( sQ330_spl
<=> ( ~ on_path(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X3)
| ~ sequential(X3,X1)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,sK7_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X0)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f4041,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f3974,f4038,f762,f135,f139,f431,f547,f593]) ).
fof(f4042,definition,
! [X0,X1,X2] :
( sQ331_spl
<=> ( ~ on_path(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X2)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X0)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f4045,plain,
( ~ sQ156_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f3975,f4042,f762,f135,f139,f1931]) ).
fof(f4046,definition,
! [X0,X1] :
( sQ332_spl
<=> ( ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X1)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X0)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f4049,plain,
( ~ sQ91_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f3976,f4046,f762,f135,f139,f1176]) ).
fof(f4050,definition,
! [X0] :
( sQ333_spl
<=> ( ~ on_path(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),sK6_skl(sK8_skl))
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X0)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f4053,plain,
( ~ sQ55_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f3977,f4050,f762,f135,f139,f642]) ).
fof(f4118,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ21_spl
| ~ sQ28_spl
| sequential(X1,X2)
| ~ precedes(X1,X2,sK8_skl)
| ~ path(X3,X4,sK8_skl)
| sequential(X1,X2)
| ~ precedes(X1,X2,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK4_skl(X2,X1,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1347,f77]) ).
fof(f4120,definition,
! [X0,X1,X2] :
( sQ334_spl
<=> ( sequential(X1,X2)
| ~ precedes(X1,X2,sK8_skl)
| sequential(X1,X2)
| ~ precedes(X1,X2,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK4_skl(X2,X1,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f4123,plain,
( ~ sQ21_spl
| ~ sQ28_spl
| sQ5_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f4118,f4120,f230,f431,f387]) ).
fof(f4133,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| tail_of(X0) = head_of(sK0_skl(head_of(X1),tail_of(X0)))
| ~ precedes(X0,X1,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X0) = head_of(X1)
| ~ vertex(head_of(X1))
| sK0_skl(head_of(X1),tail_of(X0)) = X0
| ~ edge(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1652,f24]) ).
fof(f4134,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sK0_skl(head_of(X1),tail_of(X0)) = X0
| ~ edge(X0)
| ~ edge(sK0_skl(head_of(X1),tail_of(X0)))
| sequential(sK0_skl(head_of(X1),tail_of(X0)),X0)
| ~ precedes(X0,X1,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X0) = head_of(X1)
| ~ vertex(head_of(X1))
| sK0_skl(head_of(X1),tail_of(X0)) = X0
| ~ edge(X0) ),
inference(resolution,[status(thm)],[f4133,f66]) ).
fof(f4135,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ edge(sK0_skl(head_of(X1),tail_of(X0)))
| sequential(sK0_skl(head_of(X1),tail_of(X0)),X0)
| ~ precedes(X0,X1,X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X0) = head_of(X1)
| ~ vertex(head_of(X1))
| sK0_skl(head_of(X1),tail_of(X0)) = X0
| ~ edge(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f4134]) ).
fof(f4141,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X1,X6)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK0_skl(tail_of(X1),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(X1),head_of(X0)),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ),
inference(resolution,[status(thm)],[f3129,f1448]) ).
fof(f4142,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X5,sK0_skl(tail_of(X1),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(X1),head_of(X0)),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ),
inference(resolution,[status(thm)],[f3129,f432]) ).
fof(f4143,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X4,sK0_skl(tail_of(X1),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(X1),head_of(X0)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ),
inference(resolution,[status(thm)],[f3129,f369]) ).
fof(f4144,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X1,sK0_skl(tail_of(X1),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(X1),head_of(X0)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ shortest_path(X2,X3,sK8_skl)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ),
inference(resolution,[status(thm)],[f3129,f278]) ).
fof(f4149,definition,
! [X0,X1,X4,X5,X6] :
( sQ335_spl
<=> ( ~ sequential(X1,X6)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK0_skl(tail_of(X1),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(X1),head_of(X0)),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f4152,plain,
( ~ sQ125_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f4141,f4149,f295,f135,f143,f1447]) ).
fof(f4153,definition,
! [X0,X1,X4,X5] :
( sQ336_spl
<=> ( ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X5,sK0_skl(tail_of(X1),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(X1),head_of(X0)),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f4156,plain,
( ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f4142,f4153,f295,f135,f143,f431]) ).
fof(f4157,definition,
! [X0,X1,X4] :
( sQ337_spl
<=> ( ~ sequential(X4,sK0_skl(tail_of(X1),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(X1),head_of(X0)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,X4)
| ~ on_path(X1,sK8_skl)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f4160,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f4143,f4157,f295,f135,f143,f368]) ).
fof(f4161,definition,
! [X0,X1] :
( sQ338_spl
<=> ( ~ sequential(X1,sK0_skl(tail_of(X1),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(X1),head_of(X0)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f4162,plain,
! [X0,X1] :
( ~ sQ338_spl
| ~ sequential(X1,sK0_skl(tail_of(X1),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(X1),head_of(X0)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| head_of(X0) = tail_of(X1)
| ~ vertex(tail_of(X1))
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ),
inference(component_clause,[status(thm)],[f4161]) ).
fof(f4164,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| sQ10_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f4144,f4161,f295,f135,f143]) ).
fof(f4165,plain,
! [X0,X1] :
( ~ sQ338_spl
| ~ sequential(X1,sK0_skl(tail_of(X1),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(X1),head_of(X0)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| head_of(X0) = tail_of(X1)
| X0 = sK0_skl(tail_of(X1),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(X1),head_of(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f4162,f251]) ).
fof(f4174,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ125_spl
| ~ sequential(X3,X8)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X8,X6)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X3),X2))
| ~ on_path(sK3_skl(tail_of(X3),X2),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1067,f1448]) ).
fof(f4175,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ28_spl
| ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X3),X2))
| ~ on_path(sK3_skl(tail_of(X3),X2),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1067,f432]) ).
fof(f4176,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ19_spl
| ~ sequential(X6,sK3_skl(tail_of(X3),X2))
| ~ on_path(sK3_skl(tail_of(X3),X2),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1067,f369]) ).
fof(f4177,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sequential(X3,sK3_skl(tail_of(X3),X2))
| ~ on_path(sK3_skl(tail_of(X3),X2),sK8_skl)
| ~ on_path(X3,sK8_skl)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1067,f278]) ).
fof(f4183,definition,
! [X0,X1,X2,X3,X6,X7,X8] :
( sQ339_spl
<=> ( ~ sequential(X3,X8)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X8,X6)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X3),X2))
| ~ on_path(sK3_skl(tail_of(X3),X2),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f4186,plain,
( ~ sQ125_spl
| sQ10_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f4174,f4183,f295,f1447]) ).
fof(f4187,definition,
! [X0,X1,X2,X3,X6,X7] :
( sQ340_spl
<=> ( ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X3),X2))
| ~ on_path(sK3_skl(tail_of(X3),X2),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X7)
| ~ on_path(X6,sK8_skl)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f4190,plain,
( ~ sQ28_spl
| sQ10_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f4175,f4187,f295,f431]) ).
fof(f4191,definition,
! [X0,X1,X2,X3,X6] :
( sQ341_spl
<=> ( ~ sequential(X6,sK3_skl(tail_of(X3),X2))
| ~ on_path(sK3_skl(tail_of(X3),X2),sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f4194,plain,
( ~ sQ19_spl
| sQ10_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f4176,f4191,f295,f368]) ).
fof(f4195,definition,
! [X0,X1,X2,X3] :
( sQ342_spl
<=> ( ~ sequential(X3,sK3_skl(tail_of(X3),X2))
| ~ on_path(sK3_skl(tail_of(X3),X2),sK8_skl)
| ~ on_path(X3,sK8_skl)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f4196,plain,
! [X0,X1,X2,X3] :
( ~ sQ342_spl
| ~ sequential(X3,sK3_skl(tail_of(X3),X2))
| ~ on_path(sK3_skl(tail_of(X3),X2),sK8_skl)
| ~ on_path(X3,sK8_skl)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(component_clause,[status(thm)],[f4195]) ).
fof(f4198,plain,
( sQ10_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f4177,f4195,f295]) ).
fof(f4202,plain,
! [X0,X1,X2,X3] :
( ~ sQ342_spl
| ~ sequential(X3,sK3_skl(tail_of(X3),X2))
| ~ on_path(sK3_skl(tail_of(X3),X2),sK8_skl)
| ~ on_path(X3,sK8_skl)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f4196,f336]) ).
fof(f4224,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ155_spl
| ~ precedes(X3,sK3_skl(head_of(sK0_skl(X2,tail_of(X3))),sK8_skl),X9)
| ~ shortest_path(X7,X8,X9)
| tail_of(X3) = X2
| ~ vertex(X2)
| ~ vertex(tail_of(X3))
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ in_path(head_of(sK0_skl(X2,tail_of(X3))),sK8_skl)
| ~ path(X5,X6,sK8_skl)
| sK0_skl(X2,tail_of(X3)) = sK3_skl(head_of(sK0_skl(X2,tail_of(X3))),sK8_skl)
| ~ edge(sK3_skl(head_of(sK0_skl(X2,tail_of(X3))),sK8_skl))
| ~ in_path(head_of(sK0_skl(X2,tail_of(X3))),sK8_skl)
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ sequential(sK0_skl(X2,tail_of(X3)),X4)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(sK0_skl(X2,tail_of(X3))),sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1925,f744]) ).
fof(f4225,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ155_spl
| ~ precedes(X4,sK3_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),sK8_skl),X10)
| ~ shortest_path(X8,X9,X10)
| ~ path(tail_of(X4),X3,X2)
| ~ in_path(head_of(sK1_skl(X2,X3,tail_of(X4))),sK8_skl)
| ~ path(X6,X7,sK8_skl)
| sK1_skl(X2,X3,tail_of(X4)) = sK3_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),sK8_skl)
| ~ edge(sK3_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),sK8_skl))
| ~ in_path(head_of(sK1_skl(X2,X3,tail_of(X4))),sK8_skl)
| ~ on_path(sK1_skl(X2,X3,tail_of(X4)),sK8_skl)
| ~ sequential(sK1_skl(X2,X3,tail_of(X4)),X5)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1925,f745]) ).
fof(f4227,definition,
! [X0,X1,X2,X3,X4,X7,X8,X9] :
( sQ343_spl
<=> ( ~ precedes(X3,sK3_skl(head_of(sK0_skl(X2,tail_of(X3))),sK8_skl),X9)
| ~ shortest_path(X7,X8,X9)
| tail_of(X3) = X2
| ~ vertex(X2)
| ~ vertex(tail_of(X3))
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ in_path(head_of(sK0_skl(X2,tail_of(X3))),sK8_skl)
| sK0_skl(X2,tail_of(X3)) = sK3_skl(head_of(sK0_skl(X2,tail_of(X3))),sK8_skl)
| ~ edge(sK3_skl(head_of(sK0_skl(X2,tail_of(X3))),sK8_skl))
| ~ in_path(head_of(sK0_skl(X2,tail_of(X3))),sK8_skl)
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ sequential(sK0_skl(X2,tail_of(X3)),X4)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(sK0_skl(X2,tail_of(X3))),sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f4230,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ155_spl
| sQ5_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f4224,f4227,f230,f1924,f135,f143]) ).
fof(f4231,definition,
! [X0,X1,X2,X3,X4,X5,X8,X9,X10] :
( sQ344_spl
<=> ( ~ precedes(X4,sK3_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),sK8_skl),X10)
| ~ shortest_path(X8,X9,X10)
| ~ path(tail_of(X4),X3,X2)
| ~ in_path(head_of(sK1_skl(X2,X3,tail_of(X4))),sK8_skl)
| sK1_skl(X2,X3,tail_of(X4)) = sK3_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),sK8_skl)
| ~ edge(sK3_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),sK8_skl))
| ~ in_path(head_of(sK1_skl(X2,X3,tail_of(X4))),sK8_skl)
| ~ on_path(sK1_skl(X2,X3,tail_of(X4)),sK8_skl)
| ~ sequential(sK1_skl(X2,X3,tail_of(X4)),X5)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f4234,plain,
( ~ sQ155_spl
| sQ5_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f4225,f4231,f230,f1924]) ).
fof(f4274,plain,
! [X0,X1,X2,X3] :
( ~ sQ342_spl
| ~ sequential(X3,sK3_skl(tail_of(X3),X2))
| ~ on_path(sK3_skl(tail_of(X3),X2),sK8_skl)
| ~ on_path(X3,sK8_skl)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f4202,f199]) ).
fof(f4392,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ sQ174_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(X11,X10)
| ~ on_path(X11,sK8_skl)
| ~ sequential(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X11)
| ~ sequential(X10,X9)
| ~ on_path(X10,sK8_skl)
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X9,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X9,sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1068,f2119]) ).
fof(f4393,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ sQ167_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK3_skl(tail_of(X2),sK8_skl),X11)
| ~ sequential(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X9)
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X10,X11)
| ~ on_path(X11,sK8_skl)
| ~ on_path(X10,sK8_skl)
| ~ sequential(X9,X10)
| ~ on_path(X9,sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1068,f1993]) ).
fof(f4394,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ sQ162_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ on_path(X11,sK8_skl)
| ~ sequential(X11,sK3_skl(tail_of(X2),sK8_skl))
| ~ sequential(X11,X10)
| ~ sequential(X9,X10)
| ~ on_path(X10,sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X9)
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1068,f1959]) ).
fof(f4395,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ sQ151_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ on_path(X11,sK8_skl)
| ~ sequential(X11,X10)
| ~ sequential(X11,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| ~ sequential(X10,X9)
| ~ on_path(X10,sK8_skl)
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X9,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X9,sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1068,f1907]) ).
fof(f4396,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ73_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(X10,X9)
| ~ on_path(X10,sK8_skl)
| ~ sequential(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X10)
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X9,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X9,sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1068,f877]) ).
fof(f4397,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ32_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X9)
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X9,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X9,sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1068,f457]) ).
fof(f4398,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ18_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1068,f340]) ).
fof(f4400,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ sQ155_spl
| ~ in_path(head_of(sK3_skl(tail_of(X3),X2)),sK8_skl)
| ~ on_path(sK3_skl(tail_of(X3),X2),sK8_skl)
| ~ sequential(sK3_skl(tail_of(X3),X2),X11)
| ~ sequential(X11,X9)
| ~ on_path(X11,sK8_skl)
| ~ sequential(X10,sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),sK8_skl))
| ~ on_path(X10,sK8_skl)
| ~ sequential(X9,X10)
| ~ on_path(X9,sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X3),X2)),sK8_skl)
| ~ path(X7,X8,sK8_skl)
| sK3_skl(tail_of(X3),X2) = sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),sK8_skl)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),sK8_skl))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1068,f1925]) ).
fof(f4443,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( sQ345_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(X11,X10)
| ~ on_path(X11,sK8_skl)
| ~ sequential(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X11)
| ~ sequential(X10,X9)
| ~ on_path(X10,sK8_skl)
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X9,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X9,sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f4446,plain,
( ~ sQ174_spl
| sQ345_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f4392,f230,f4443,f2118]) ).
fof(f4447,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( sQ346_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK3_skl(tail_of(X2),sK8_skl),X11)
| ~ sequential(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X9)
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X10,X11)
| ~ on_path(X11,sK8_skl)
| ~ on_path(X10,sK8_skl)
| ~ sequential(X9,X10)
| ~ on_path(X9,sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f4450,plain,
( ~ sQ167_spl
| sQ346_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f4393,f230,f4447,f1992]) ).
fof(f4451,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( sQ347_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ on_path(X11,sK8_skl)
| ~ sequential(X11,sK3_skl(tail_of(X2),sK8_skl))
| ~ sequential(X11,X10)
| ~ sequential(X9,X10)
| ~ on_path(X10,sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X9)
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f4454,plain,
( ~ sQ162_spl
| sQ347_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f4394,f230,f4451,f1958]) ).
fof(f4455,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( sQ348_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ on_path(X11,sK8_skl)
| ~ sequential(X11,X10)
| ~ sequential(X11,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| ~ sequential(X10,X9)
| ~ on_path(X10,sK8_skl)
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X9,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X9,sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f4458,plain,
( ~ sQ151_spl
| sQ348_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f4395,f230,f4455,f1906]) ).
fof(f4459,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( sQ349_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(X10,X9)
| ~ on_path(X10,sK8_skl)
| ~ sequential(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X10)
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X9,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X9,sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f4462,plain,
( ~ sQ73_spl
| sQ349_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f4396,f230,f4459,f876]) ).
fof(f4463,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ350_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X9)
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X9,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X9,sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f4466,plain,
( ~ sQ32_spl
| sQ350_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f4397,f230,f4463,f456]) ).
fof(f4467,definition,
! [X2,X3,X4,X5,X6,X7,X8] :
( sQ351_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK3_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f4470,plain,
( ~ sQ18_spl
| sQ351_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f4398,f230,f4467,f339]) ).
fof(f4472,definition,
! [X0,X1,X2,X3,X4,X5,X6,X9,X10,X11] :
( sQ352_spl
<=> ( ~ in_path(head_of(sK3_skl(tail_of(X3),X2)),sK8_skl)
| ~ on_path(sK3_skl(tail_of(X3),X2),sK8_skl)
| ~ sequential(sK3_skl(tail_of(X3),X2),X11)
| ~ sequential(X11,X9)
| ~ on_path(X11,sK8_skl)
| ~ sequential(X10,sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),sK8_skl))
| ~ on_path(X10,sK8_skl)
| ~ sequential(X9,X10)
| ~ on_path(X9,sK8_skl)
| ~ in_path(head_of(sK3_skl(tail_of(X3),X2)),sK8_skl)
| sK3_skl(tail_of(X3),X2) = sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),sK8_skl)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),sK8_skl))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK3_skl(head_of(sK3_skl(tail_of(X3),X2)),sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f4475,plain,
( ~ sQ155_spl
| sQ5_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f4400,f4472,f230,f1924]) ).
fof(f4548,plain,
! [X0,X1,X2,X3] :
( ~ sQ52_spl
| ~ sQ28_spl
| ~ sequential(X0,X2)
| ~ sequential(X3,X1)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl) ),
inference(resolution,[status(thm)],[f1475,f616]) ).
fof(f4557,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ28_spl
| ~ path(X5,X6,sK8_skl)
| sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ path(X3,X4,sK8_skl)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(sK4_skl(X1,X2,sK8_skl),X0)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1475,f382]) ).
fof(f4558,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ28_spl
| ~ path(X9,X10,sK8_skl)
| sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ path(X7,X8,sK8_skl)
| ~ sequential(X3,X5)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),X3)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1475,f382]) ).
fof(f4560,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ49_spl
| ~ sQ28_spl
| ~ sequential(X1,X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1475,f594]) ).
fof(f4562,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ39_spl
| ~ sQ28_spl
| ~ sequential(X1,X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X1)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1475,f506]) ).
fof(f4563,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ in_path(X1,sK8_skl)
| ~ path(X2,X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(sK3_skl(X1,sK8_skl),X0)
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1475,f58]) ).
fof(f4564,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ28_spl
| ~ in_path(X1,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X5,X3)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1475,f58]) ).
fof(f4565,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ28_spl
| ~ path(X6,X7,sK8_skl)
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(sK4_skl(X2,X3,sK8_skl),sK4_skl(X2,X3,sK8_skl))
| ~ sequential(sK4_skl(X2,X3,sK8_skl),sK4_skl(X2,X3,sK8_skl))
| ~ sequential(sK4_skl(X2,X3,sK8_skl),sK4_skl(X2,X3,sK8_skl))
| ~ sequential(sK4_skl(X2,X3,sK8_skl),X0)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1475,f382]) ).
fof(f4571,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ in_path(X2,sK8_skl)
| ~ path(X3,X4,sK8_skl)
| ~ sequential(sK3_skl(X2,sK8_skl),sK3_skl(X2,sK8_skl))
| ~ sequential(sK3_skl(X2,sK8_skl),sK3_skl(X2,sK8_skl))
| ~ sequential(sK3_skl(X2,sK8_skl),sK3_skl(X2,sK8_skl))
| ~ sequential(sK3_skl(X2,sK8_skl),X0)
| ~ sequential(X1,sK3_skl(X2,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1475,f58]) ).
fof(f4599,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ28_spl
| ~ path(X7,X8,sK8_skl)
| sequential(X4,X3)
| ~ precedes(X4,X3,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(X2,sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1475,f382]) ).
fof(f4605,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ28_spl
| ~ in_path(X3,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(X2,sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1475,f58]) ).
fof(f4633,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ28_spl
| ~ path(X8,X9,sK8_skl)
| sequential(X5,X4)
| ~ precedes(X5,X4,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(X2,sK4_skl(X4,X5,sK8_skl))
| ~ sequential(sK4_skl(X4,X5,sK8_skl),X3)
| ~ sequential(sK4_skl(X4,X5,sK8_skl),sK4_skl(X4,X5,sK8_skl))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1475,f382]) ).
fof(f4639,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ28_spl
| ~ in_path(X4,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(X2,sK3_skl(X4,sK8_skl))
| ~ sequential(sK3_skl(X4,sK8_skl),X3)
| ~ sequential(sK3_skl(X4,sK8_skl),sK3_skl(X4,sK8_skl))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f1475,f58]) ).
fof(f4712,definition,
! [X0,X1,X2,X3] :
( sQ353_spl
<=> ( ~ sequential(X0,X2)
| ~ sequential(X3,X1)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f4713,plain,
! [X0,X1,X2,X3] :
( ~ sQ353_spl
| ~ sequential(X0,X2)
| ~ sequential(X3,X1)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f4712]) ).
fof(f4715,plain,
( ~ sQ52_spl
| ~ sQ28_spl
| sQ353_spl
| ~ sQ49_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f4548,f505,f593,f4712,f431,f615]) ).
fof(f4724,definition,
! [X0,X1,X2] :
( sQ354_spl
<=> ( sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(sK4_skl(X1,X2,sK8_skl),X0)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),sK4_skl(X1,X2,sK8_skl))
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f4727,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f4557,f4724,f230,f431]) ).
fof(f4728,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ355_spl
<=> ( sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ sequential(X3,X5)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),X3)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f4731,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f4558,f4728,f230,f431]) ).
fof(f4734,definition,
! [X0,X1] :
( sQ356_spl
<=> ( ~ in_path(X1,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(sK3_skl(X1,sK8_skl),X0)
| ~ sequential(sK3_skl(X1,sK8_skl),sK3_skl(X1,sK8_skl))
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f4737,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f4563,f4734,f230,f431]) ).
fof(f4738,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ357_spl
<=> ( ~ in_path(X1,sK8_skl)
| ~ sequential(X2,X4)
| ~ sequential(X5,X3)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f4741,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f4564,f4738,f230,f431]) ).
fof(f4742,definition,
! [X0,X1,X2,X3] :
( sQ358_spl
<=> ( sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ sequential(sK4_skl(X2,X3,sK8_skl),sK4_skl(X2,X3,sK8_skl))
| ~ sequential(sK4_skl(X2,X3,sK8_skl),sK4_skl(X2,X3,sK8_skl))
| ~ sequential(sK4_skl(X2,X3,sK8_skl),sK4_skl(X2,X3,sK8_skl))
| ~ sequential(sK4_skl(X2,X3,sK8_skl),X0)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f4745,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f4565,f4742,f230,f431]) ).
fof(f4749,definition,
! [X0,X1,X2] :
( sQ359_spl
<=> ( ~ in_path(X2,sK8_skl)
| ~ sequential(sK3_skl(X2,sK8_skl),sK3_skl(X2,sK8_skl))
| ~ sequential(sK3_skl(X2,sK8_skl),sK3_skl(X2,sK8_skl))
| ~ sequential(sK3_skl(X2,sK8_skl),sK3_skl(X2,sK8_skl))
| ~ sequential(sK3_skl(X2,sK8_skl),X0)
| ~ sequential(X1,sK3_skl(X2,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f4752,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f4571,f4749,f230,f431]) ).
fof(f4777,definition,
! [X0,X1,X2,X3,X4] :
( sQ360_spl
<=> ( sequential(X4,X3)
| ~ precedes(X4,X3,sK8_skl)
| ~ sequential(X2,sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f4780,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f4599,f4777,f230,f431]) ).
fof(f4784,definition,
! [X0,X1,X2,X3] :
( sQ361_spl
<=> ( ~ in_path(X3,sK8_skl)
| ~ sequential(X2,sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f4787,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f4605,f4784,f230,f431]) ).
fof(f4810,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ362_spl
<=> ( sequential(X5,X4)
| ~ precedes(X5,X4,sK8_skl)
| ~ sequential(X2,sK4_skl(X4,X5,sK8_skl))
| ~ sequential(sK4_skl(X4,X5,sK8_skl),X3)
| ~ sequential(sK4_skl(X4,X5,sK8_skl),sK4_skl(X4,X5,sK8_skl))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f4813,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f4633,f4810,f230,f431]) ).
fof(f4823,definition,
! [X0,X1,X2,X3,X4] :
( sQ365_spl
<=> ( ~ in_path(X4,sK8_skl)
| ~ sequential(X2,sK3_skl(X4,sK8_skl))
| ~ sequential(sK3_skl(X4,sK8_skl),X3)
| ~ sequential(sK3_skl(X4,sK8_skl),sK3_skl(X4,sK8_skl))
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f4826,plain,
( ~ sQ28_spl
| sQ5_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f4639,f4823,f230,f431]) ).
fof(f4874,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ353_spl
| ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X2)
| ~ sequential(X3,X1)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f4713,f3130]) ).
fof(f4875,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ353_spl
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X2)
| ~ sequential(X3,X1)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl) ),
inference(resolution,[status(thm)],[f4713,f719]) ).
fof(f4876,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ353_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f4713,f274]) ).
fof(f4878,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ366_spl
<=> ( ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X2)
| ~ sequential(X3,X1)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f4881,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ353_spl
| ~ sQ59_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f4874,f4878,f762,f4712,f135,f143]) ).
fof(f4882,definition,
! [X0,X1,X2,X3] :
( sQ367_spl
<=> ( sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X2)
| ~ sequential(X3,X1)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f4885,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ353_spl
| ~ sQ59_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f4875,f4882,f762,f4712,f135,f143]) ).
fof(f4886,definition,
! [X0,X1,X2,X3,X4] :
( sQ368_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f4889,plain,
( ~ sQ353_spl
| ~ sQ59_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f4876,f4886,f762,f4712]) ).
fof(f4966,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),X6)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK6_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)) = sK6_skl(sK8_skl)
| ~ edge(sK6_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ precedes(sK6_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(head_of(X0)) ),
inference(resolution,[status(thm)],[f2242,f1838]) ).
fof(f4967,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),X6)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK7_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0)) ),
inference(resolution,[status(thm)],[f2242,f1836]) ).
fof(f4968,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ156_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),X5)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0)) ),
inference(resolution,[status(thm)],[f2242,f1932]) ).
fof(f4969,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ91_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),X4)
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0)) ),
inference(resolution,[status(thm)],[f2242,f1177]) ).
fof(f4970,plain,
! [X0,X1,X2,X3] :
( ~ sQ55_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK6_skl(sK8_skl))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0)) ),
inference(resolution,[status(thm)],[f2242,f643]) ).
fof(f5047,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ369_spl
<=> ( ~ on_path(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),X6)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK6_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)) = sK6_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ precedes(sK6_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(head_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f5050,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ64_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f4966,f5047,f781,f135,f139,f431,f547,f505]) ).
fof(f5051,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ370_spl
<=> ( ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),X6)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK7_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f5054,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f4967,f5051,f762,f135,f139,f431,f547,f593]) ).
fof(f5055,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ371_spl
<=> ( ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),X5)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f5058,plain,
( ~ sQ156_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f4968,f5055,f762,f135,f139,f1931]) ).
fof(f5059,definition,
! [X0,X1,X2,X3,X4] :
( sQ372_spl
<=> ( ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),X4)
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f5062,plain,
( ~ sQ91_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f4969,f5059,f762,f135,f139,f1176]) ).
fof(f5063,definition,
! [X0,X1,X2,X3] :
( sQ373_spl
<=> ( ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK6_skl(sK8_skl))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f5066,plain,
( ~ sQ55_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f4970,f5063,f762,f135,f139,f642]) ).
fof(f5151,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ353_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X5)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f4713]) ).
fof(f5152,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X6)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f2050]) ).
fof(f5153,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK7_skl(sK8_skl),X6)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X6,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f1878]) ).
fof(f5154,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,sK7_skl(sK8_skl))
| ~ sequential(X6,X5)
| ~ sequential(X4,X5)
| ~ on_path(X5,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f1852]) ).
fof(f5155,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f1828]) ).
fof(f5156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ172_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X5)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f2104]) ).
fof(f5157,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ165_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK6_skl(sK8_skl),X5)
| ~ sequential(X4,X5)
| ~ on_path(X5,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f1984]) ).
fof(f5158,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ163_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,sK6_skl(sK8_skl))
| ~ sequential(X5,X4)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f1966]) ).
fof(f5159,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ147_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f1886]) ).
fof(f5160,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X5)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f834]) ).
fof(f5161,plain,
! [X0,X1,X2,X3] :
( ~ sQ99_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK6_skl(sK8_skl))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f1259]) ).
fof(f5162,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ90_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f1171]) ).
fof(f5163,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X4)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f1163]) ).
fof(f5164,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ71_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f863]) ).
fof(f5165,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ49_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f598]) ).
fof(f5166,plain,
! [X0,X1,X2,X3] :
( ~ sQ56_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f647]) ).
fof(f5167,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK7_skl(sK8_skl))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f601]) ).
fof(f5168,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X6)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f2052]) ).
fof(f5169,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK6_skl(sK8_skl),X6)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X6,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f1879]) ).
fof(f5170,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,sK6_skl(sK8_skl))
| ~ sequential(X6,X5)
| ~ sequential(X4,X5)
| ~ on_path(X5,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f1854]) ).
fof(f5171,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f1830]) ).
fof(f5172,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ164_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X5,sK7_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f1976]) ).
fof(f5173,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X5)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f836]) ).
fof(f5174,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f510]) ).
fof(f5175,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK6_skl(sK8_skl))
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f2468,f513]) ).
fof(f5268,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ374_spl
<=> ( ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X5)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f5271,plain,
( ~ sQ353_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ374_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5151,f762,f5268,f135,f139,f143,f4712]) ).
fof(f5272,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ375_spl
<=> ( ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X6)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f5275,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ375_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5152,f762,f5272,f135,f139,f143,f431,f368,f593]) ).
fof(f5276,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ376_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),X6)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X6,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f5279,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ376_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5153,f762,f5276,f135,f139,f143,f431,f547,f593]) ).
fof(f5280,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ377_spl
<=> ( ~ on_path(X6,sK8_skl)
| ~ sequential(X6,sK7_skl(sK8_skl))
| ~ sequential(X6,X5)
| ~ sequential(X4,X5)
| ~ on_path(X5,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f5283,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ377_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5154,f762,f5280,f135,f139,f143,f431,f547,f593]) ).
fof(f5284,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ378_spl
<=> ( ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f5287,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ378_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5155,f762,f5284,f135,f139,f143,f431,f547,f593]) ).
fof(f5288,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ379_spl
<=> ( ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X5)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f5291,plain,
( ~ sQ172_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ379_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5156,f762,f5288,f135,f139,f143,f2103]) ).
fof(f5292,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ380_spl
<=> ( ~ sequential(sK6_skl(sK8_skl),X5)
| ~ sequential(X4,X5)
| ~ on_path(X5,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f5295,plain,
( ~ sQ165_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ380_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5157,f762,f5292,f135,f139,f143,f1983]) ).
fof(f5296,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ381_spl
<=> ( ~ on_path(X5,sK8_skl)
| ~ sequential(X5,sK6_skl(sK8_skl))
| ~ sequential(X5,X4)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f5299,plain,
( ~ sQ163_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ381_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5158,f762,f5296,f135,f139,f143,f1965]) ).
fof(f5300,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ382_spl
<=> ( ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f5303,plain,
( ~ sQ147_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ382_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5159,f762,f5300,f135,f139,f143,f1885]) ).
fof(f5304,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ383_spl
<=> ( ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X5)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f5307,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ383_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5160,f762,f5304,f135,f139,f143,f368,f593]) ).
fof(f5308,definition,
! [X0,X1,X2,X3] :
( sQ384_spl
<=> ( ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK6_skl(sK8_skl))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f5311,plain,
( ~ sQ99_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ384_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5161,f762,f5308,f135,f139,f143,f1258]) ).
fof(f5312,definition,
! [X0,X1,X2,X3,X4] :
( sQ385_spl
<=> ( ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f5315,plain,
( ~ sQ90_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ385_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5162,f762,f5312,f135,f139,f143,f1170]) ).
fof(f5316,definition,
! [X0,X1,X2,X3,X4] :
( sQ386_spl
<=> ( ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X4)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f5319,plain,
( ~ sQ89_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ386_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5163,f762,f5316,f135,f139,f143,f1162]) ).
fof(f5320,definition,
! [X0,X1,X2,X3,X4] :
( sQ387_spl
<=> ( ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f5323,plain,
( ~ sQ71_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ387_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5164,f762,f5320,f135,f139,f143,f862]) ).
fof(f5324,definition,
! [X0,X1,X2,X3,X4] :
( sQ388_spl
<=> ( ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f5327,plain,
( ~ sQ19_spl
| ~ sQ49_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ388_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5165,f762,f5324,f135,f139,f143,f593,f368]) ).
fof(f5328,definition,
! [X0,X1,X2,X3] :
( sQ389_spl
<=> ( ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f5331,plain,
( ~ sQ56_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ389_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5166,f762,f5328,f135,f139,f143,f646]) ).
fof(f5332,definition,
! [X0,X1,X2,X3] :
( sQ390_spl
<=> ( ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK7_skl(sK8_skl))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f5335,plain,
( ~ sQ49_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ390_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5167,f762,f5332,f135,f139,f143,f593]) ).
fof(f5336,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ391_spl
<=> ( ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X6)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f5339,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ391_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f5168,f781,f5336,f135,f139,f143,f431,f368,f505]) ).
fof(f5340,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ392_spl
<=> ( ~ sequential(sK6_skl(sK8_skl),X6)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X5,X6)
| ~ on_path(X6,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f5343,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ392_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f5169,f781,f5340,f135,f139,f143,f431,f547,f505]) ).
fof(f5344,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ393_spl
<=> ( ~ on_path(X6,sK8_skl)
| ~ sequential(X6,sK6_skl(sK8_skl))
| ~ sequential(X6,X5)
| ~ sequential(X4,X5)
| ~ on_path(X5,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f5347,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ393_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f5170,f781,f5344,f135,f139,f143,f431,f547,f505]) ).
fof(f5348,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ394_spl
<=> ( ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f5351,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ394_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f5171,f781,f5348,f135,f139,f143,f431,f547,f505]) ).
fof(f5352,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ395_spl
<=> ( ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X5,sK7_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f5355,plain,
( ~ sQ164_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ395_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f5172,f781,f5352,f135,f139,f143,f1975]) ).
fof(f5356,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ396_spl
<=> ( ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X5)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f5359,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ396_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f5173,f781,f5356,f135,f139,f143,f368,f505]) ).
fof(f5360,definition,
! [X0,X1,X2,X3,X4] :
( sQ397_spl
<=> ( ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X4)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f5363,plain,
( ~ sQ19_spl
| ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ397_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f5174,f781,f5360,f135,f139,f143,f505,f368]) ).
fof(f5364,definition,
! [X0,X1,X2,X3] :
( sQ398_spl
<=> ( ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK6_skl(sK8_skl))
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl)
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f5367,plain,
( ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ398_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f5175,f781,f5364,f135,f139,f143,f505]) ).
fof(f5470,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ174_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(X9,X8)
| ~ on_path(X9,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X9)
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1069,f2119]) ).
fof(f5471,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ167_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK3_skl(tail_of(X2),sK8_skl),X9)
| ~ sequential(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X7)
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X8,X9)
| ~ on_path(X9,sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1069,f1993]) ).
fof(f5472,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ162_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X9,sK3_skl(tail_of(X2),sK8_skl))
| ~ sequential(X9,X8)
| ~ sequential(X7,X8)
| ~ on_path(X8,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X7)
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1069,f1959]) ).
fof(f5473,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ151_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X9,X8)
| ~ sequential(X9,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1069,f1907]) ).
fof(f5474,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ73_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X8)
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1069,f877]) ).
fof(f5475,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ32_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X7)
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1069,f457]) ).
fof(f5476,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ18_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1069,f340]) ).
fof(f5539,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ399_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(X9,X8)
| ~ on_path(X9,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X9)
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f5542,plain,
( ~ sQ174_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ399_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5470,f230,f5539,f135,f139,f2118]) ).
fof(f5543,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ400_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK3_skl(tail_of(X2),sK8_skl),X9)
| ~ sequential(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X7)
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X8,X9)
| ~ on_path(X9,sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f5546,plain,
( ~ sQ167_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ400_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5471,f230,f5543,f135,f139,f1992]) ).
fof(f5547,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ401_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X9,sK3_skl(tail_of(X2),sK8_skl))
| ~ sequential(X9,X8)
| ~ sequential(X7,X8)
| ~ on_path(X8,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X7)
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f5550,plain,
( ~ sQ162_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ401_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5472,f230,f5547,f135,f139,f1958]) ).
fof(f5551,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ402_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X9,X8)
| ~ sequential(X9,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6))
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f5554,plain,
( ~ sQ151_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ402_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5473,f230,f5551,f135,f139,f1906]) ).
fof(f5555,definition,
! [X2,X3,X4,X5,X6,X7,X8] :
( sQ403_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X8)
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f5558,plain,
( ~ sQ73_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ403_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5474,f230,f5555,f135,f139,f876]) ).
fof(f5559,definition,
! [X2,X3,X4,X5,X6,X7] :
( sQ404_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X7)
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f5562,plain,
( ~ sQ32_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ404_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5475,f230,f5559,f135,f139,f456]) ).
fof(f5563,definition,
! [X2,X3,X4,X5,X6] :
( sQ405_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X2),sK8_skl))
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6)
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(head_of(sK3_skl(tail_of(X2),sK8_skl)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f5566,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ405_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5476,f230,f5563,f135,f139,f339]) ).
fof(f5642,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ174_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(X9,X8)
| ~ on_path(X9,sK8_skl)
| ~ sequential(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X9)
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1070,f2119]) ).
fof(f5643,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ167_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK3_skl(tail_of(X2),sK8_skl),X9)
| ~ sequential(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X7)
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| ~ sequential(X8,X9)
| ~ on_path(X9,sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1070,f1993]) ).
fof(f5644,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ162_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X9,sK3_skl(tail_of(X2),sK8_skl))
| ~ sequential(X9,X8)
| ~ sequential(X7,X8)
| ~ on_path(X8,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X7)
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1070,f1959]) ).
fof(f5645,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ151_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X9,X8)
| ~ sequential(X9,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))))
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1070,f1907]) ).
fof(f5646,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ73_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ sequential(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X8)
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1070,f877]) ).
fof(f5647,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ32_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X7)
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1070,f457]) ).
fof(f5648,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ18_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl)
| ~ path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f1070,f340]) ).
fof(f5710,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ406_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(X9,X8)
| ~ on_path(X9,sK8_skl)
| ~ sequential(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X9)
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f5713,plain,
( ~ sQ174_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ406_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5642,f230,f5710,f135,f143,f2118]) ).
fof(f5714,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ407_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK3_skl(tail_of(X2),sK8_skl),X9)
| ~ sequential(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X7)
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| ~ sequential(X8,X9)
| ~ on_path(X9,sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f5717,plain,
( ~ sQ167_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ407_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5643,f230,f5714,f135,f143,f1992]) ).
fof(f5718,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ408_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X9,sK3_skl(tail_of(X2),sK8_skl))
| ~ sequential(X9,X8)
| ~ sequential(X7,X8)
| ~ on_path(X8,sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X7)
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f5721,plain,
( ~ sQ162_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ408_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5644,f230,f5718,f135,f143,f1958]) ).
fof(f5722,definition,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ409_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X9,X8)
| ~ sequential(X9,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))))
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f5725,plain,
( ~ sQ151_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ409_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5645,f230,f5722,f135,f143,f1906]) ).
fof(f5726,definition,
! [X2,X3,X4,X5,X6,X7,X8] :
( sQ410_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ sequential(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X8)
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f5729,plain,
( ~ sQ73_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ410_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5646,f230,f5726,f135,f143,f876]) ).
fof(f5730,definition,
! [X2,X3,X4,X5,X6,X7] :
( sQ411_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X7)
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| ~ sequential(X7,sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f5733,plain,
( ~ sQ32_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ411_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5647,f230,f5730,f135,f143,f456]) ).
fof(f5734,definition,
! [X2,X3,X4,X5,X6] :
( sQ412_spl
<=> ( ~ in_path(tail_of(X2),sK8_skl)
| ~ sequential(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK3_skl(tail_of(X2),sK8_skl))
| ~ on_path(sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),sK8_skl)
| head_of(sK3_skl(tail_of(X2),sK8_skl)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(X2),sK8_skl) = sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl)))
| sK3_skl(tail_of(X2),sK8_skl) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),sK8_skl))
| sequential(sK3_skl(tail_of(X2),sK8_skl),X2)
| ~ precedes(X2,sK0_skl(X6,head_of(sK3_skl(tail_of(X2),sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f5737,plain,
( ~ sQ18_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ412_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f5648,f230,f5734,f135,f143,f339]) ).
fof(f5817,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ125_spl
| ~ sequential(X3,X10)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X10,X8)
| ~ on_path(X10,sK8_skl)
| ~ sequential(X9,sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X8,X9)
| ~ on_path(X8,sK8_skl)
| vertex(head_of(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6)))
| ~ path(X6,head_of(sK3_skl(tail_of(X3),X2)),X7)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1064,f1448]) ).
fof(f5818,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ28_spl
| ~ sequential(X3,X8)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X9,sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X8,X9)
| ~ on_path(X8,sK8_skl)
| vertex(head_of(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6)))
| ~ path(X6,head_of(sK3_skl(tail_of(X3),X2)),X7)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1064,f432]) ).
fof(f5819,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ19_spl
| ~ sequential(X8,sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X3,X8)
| ~ on_path(X3,sK8_skl)
| vertex(head_of(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6)))
| ~ path(X6,head_of(sK3_skl(tail_of(X3),X2)),X7)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1064,f369]) ).
fof(f5820,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sequential(X3,sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X3,sK8_skl)
| vertex(head_of(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6)))
| ~ path(X6,head_of(sK3_skl(tail_of(X3),X2)),X7)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1064,f278]) ).
fof(f5823,definition,
! [X0,X1,X2,X3,X6,X7,X8,X9,X10] :
( sQ413_spl
<=> ( ~ sequential(X3,X10)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X10,X8)
| ~ on_path(X10,sK8_skl)
| ~ sequential(X9,sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X8,X9)
| ~ on_path(X8,sK8_skl)
| vertex(head_of(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6)))
| ~ path(X6,head_of(sK3_skl(tail_of(X3),X2)),X7)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f5826,plain,
( ~ sQ125_spl
| sQ10_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f5817,f5823,f295,f1447]) ).
fof(f5827,definition,
! [X0,X1,X2,X3,X6,X7,X8,X9] :
( sQ414_spl
<=> ( ~ sequential(X3,X8)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X9,sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X8,X9)
| ~ on_path(X8,sK8_skl)
| vertex(head_of(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6)))
| ~ path(X6,head_of(sK3_skl(tail_of(X3),X2)),X7)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f5830,plain,
( ~ sQ28_spl
| sQ10_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f5818,f5827,f295,f431]) ).
fof(f5831,definition,
! [X0,X1,X2,X3,X6,X7,X8] :
( sQ415_spl
<=> ( ~ sequential(X8,sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X3,X8)
| ~ on_path(X3,sK8_skl)
| vertex(head_of(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6)))
| ~ path(X6,head_of(sK3_skl(tail_of(X3),X2)),X7)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f5834,plain,
( ~ sQ19_spl
| sQ10_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f5819,f5831,f295,f368]) ).
fof(f5835,definition,
! [X0,X1,X2,X3,X6,X7] :
( sQ416_spl
<=> ( ~ sequential(X3,sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X3,sK8_skl)
| vertex(head_of(sK1_skl(X7,head_of(sK3_skl(tail_of(X3),X2)),X6)))
| ~ path(X6,head_of(sK3_skl(tail_of(X3),X2)),X7)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f5838,plain,
( sQ10_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f5820,f5835,f295]) ).
fof(f5862,plain,
! [X0,X1,X2,X3] :
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X0)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f616]) ).
fof(f5874,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ path(X9,X10,sK8_skl)
| sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ path(X7,X8,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,X3)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),X3)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f382]) ).
fof(f5876,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X1)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f594]) ).
fof(f5878,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X1)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X1)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f506]) ).
fof(f5880,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ in_path(X1,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f58]) ).
fof(f5882,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ path(X9,X10,sK8_skl)
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ path(X7,X8,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,sK4_skl(X2,X3,sK8_skl))
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f382]) ).
fof(f5884,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f594]) ).
fof(f5886,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f506]) ).
fof(f5888,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ in_path(X2,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,sK3_skl(X2,sK8_skl))
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,sK3_skl(X2,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f58]) ).
fof(f5912,plain,
! [X0,X1,X2,X3] :
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f616]) ).
fof(f5923,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ path(X7,X8,sK8_skl)
| sequential(X4,X3)
| ~ precedes(X4,X3,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X2)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f382]) ).
fof(f5924,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ path(X9,X10,sK8_skl)
| sequential(X4,X3)
| ~ precedes(X4,X3,sK8_skl)
| ~ path(X7,X8,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,X2)
| ~ sequential(X5,sK4_skl(X3,X4,sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f382]) ).
fof(f5926,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f594]) ).
fof(f5928,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f506]) ).
fof(f5929,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ in_path(X3,sK8_skl)
| ~ path(X4,X5,sK8_skl)
| ~ sequential(sK3_skl(X3,sK8_skl),sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),X2)
| ~ sequential(sK3_skl(X3,sK8_skl),sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f58]) ).
fof(f5930,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ in_path(X3,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,X2)
| ~ sequential(X4,sK3_skl(X3,sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK3_skl(X3,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f58]) ).
fof(f5954,plain,
! [X0,X1,X2,X3] :
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X1)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f616]) ).
fof(f5965,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ path(X8,X9,sK8_skl)
| sequential(X5,X4)
| ~ precedes(X5,X4,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(sK4_skl(X4,X5,sK8_skl),sK4_skl(X4,X5,sK8_skl))
| ~ sequential(sK4_skl(X4,X5,sK8_skl),X2)
| ~ sequential(sK4_skl(X4,X5,sK8_skl),X3)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f382]) ).
fof(f5966,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ path(X9,X10,sK8_skl)
| sequential(X5,X4)
| ~ precedes(X5,X4,sK8_skl)
| ~ path(X7,X8,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,sK4_skl(X4,X5,sK8_skl))
| ~ sequential(X6,X2)
| ~ sequential(sK4_skl(X4,X5,sK8_skl),X3)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f382]) ).
fof(f5968,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK7_skl(sK8_skl),X3)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f594]) ).
fof(f5970,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK6_skl(sK8_skl),X3)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f506]) ).
fof(f5971,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ in_path(X4,sK8_skl)
| ~ path(X5,X6,sK8_skl)
| ~ sequential(sK3_skl(X4,sK8_skl),sK3_skl(X4,sK8_skl))
| ~ sequential(sK3_skl(X4,sK8_skl),X2)
| ~ sequential(sK3_skl(X4,sK8_skl),X3)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f58]) ).
fof(f5972,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ in_path(X4,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,sK3_skl(X4,sK8_skl))
| ~ sequential(X5,X2)
| ~ sequential(sK3_skl(X4,sK8_skl),X3)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f58]) ).
fof(f5996,plain,
! [X0,X1,X2,X3] :
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f616]) ).
fof(f6029,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f616]) ).
fof(f6030,plain,
! [X0,X1,X2,X3] :
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f616]) ).
fof(f6052,plain,
! [X0,X1,X2,X3] :
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK7_skl(sK8_skl),X3)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f616]) ).
fof(f6058,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ path(X9,X10,sK8_skl)
| sequential(X6,X5)
| ~ precedes(X6,X5,sK8_skl)
| ~ path(X7,X8,sK8_skl)
| ~ sequential(sK4_skl(X5,X6,sK8_skl),X4)
| ~ sequential(sK4_skl(X5,X6,sK8_skl),X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f382]) ).
fof(f6059,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sequential(sK7_skl(sK8_skl),X4)
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f594]) ).
fof(f6060,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sequential(sK6_skl(sK8_skl),X4)
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f506]) ).
fof(f6061,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ45_spl
| ~ sQ125_spl
| ~ in_path(X5,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(sK3_skl(X5,sK8_skl),X4)
| ~ sequential(sK3_skl(X5,sK8_skl),X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2709,f58]) ).
fof(f6082,definition,
! [X0,X1,X2,X3] :
( sQ417_spl
<=> ( ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X0)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f6083,plain,
! [X0,X1,X2,X3] :
( ~ sQ417_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X0)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f6082]) ).
fof(f6085,plain,
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| sQ417_spl
| ~ sQ49_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f5862,f505,f593,f6082,f1447,f547,f615]) ).
fof(f6096,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ418_spl
<=> ( sequential(X2,X1)
| ~ precedes(X2,X1,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,X3)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK4_skl(X1,X2,sK8_skl),X3)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X0,sK4_skl(X1,X2,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f6099,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f5874,f6096,f230,f1447,f547]) ).
fof(f6103,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ419_spl
<=> ( ~ in_path(X1,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK3_skl(X1,sK8_skl),X2)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,sK3_skl(X1,sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f6106,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f5880,f6103,f230,f1447,f547]) ).
fof(f6108,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ420_spl
<=> ( sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,sK4_skl(X2,X3,sK8_skl))
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f6111,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f5882,f6108,f230,f1447,f547]) ).
fof(f6115,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ421_spl
<=> ( ~ in_path(X2,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,sK3_skl(X2,sK8_skl))
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,sK3_skl(X2,sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f6118,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f5888,f6115,f230,f1447,f547]) ).
fof(f6139,definition,
! [X0,X1,X2,X3] :
( sQ422_spl
<=> ( ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f6140,plain,
! [X0,X1,X2,X3] :
( ~ sQ422_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f6139]) ).
fof(f6142,plain,
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ49_spl
| ~ sQ39_spl
| sQ422_spl ),
inference(split_clause,[status(thm)],[f5912,f6139,f505,f593,f1447,f547,f615]) ).
fof(f6153,definition,
! [X0,X1,X2,X3,X4] :
( sQ423_spl
<=> ( sequential(X4,X3)
| ~ precedes(X4,X3,sK8_skl)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X2)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),sK4_skl(X3,X4,sK8_skl))
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).
fof(f6156,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f5923,f6153,f230,f1447,f547]) ).
fof(f6157,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ424_spl
<=> ( sequential(X4,X3)
| ~ precedes(X4,X3,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,X5)
| ~ sequential(X6,X2)
| ~ sequential(X5,sK4_skl(X3,X4,sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK4_skl(X3,X4,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).
fof(f6160,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f5924,f6157,f230,f1447,f547]) ).
fof(f6163,definition,
! [X0,X1,X2,X3] :
( sQ425_spl
<=> ( ~ in_path(X3,sK8_skl)
| ~ sequential(sK3_skl(X3,sK8_skl),sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),X2)
| ~ sequential(sK3_skl(X3,sK8_skl),sK3_skl(X3,sK8_skl))
| ~ sequential(sK3_skl(X3,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).
fof(f6166,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f5929,f6163,f230,f1447,f547]) ).
fof(f6167,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ426_spl
<=> ( ~ in_path(X3,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,X2)
| ~ sequential(X4,sK3_skl(X3,sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(sK3_skl(X3,sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f6170,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f5930,f6167,f230,f1447,f547]) ).
fof(f6190,definition,
! [X0,X1,X2,X3] :
( sQ427_spl
<=> ( ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X1)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f6191,plain,
! [X0,X1,X2,X3] :
( ~ sQ427_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X1)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0) ),
inference(component_clause,[status(thm)],[f6190]) ).
fof(f6193,plain,
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ39_spl
| sQ427_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f5954,f593,f6190,f505,f1447,f547,f615]) ).
fof(f6203,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ428_spl
<=> ( sequential(X5,X4)
| ~ precedes(X5,X4,sK8_skl)
| ~ sequential(sK4_skl(X4,X5,sK8_skl),sK4_skl(X4,X5,sK8_skl))
| ~ sequential(sK4_skl(X4,X5,sK8_skl),X2)
| ~ sequential(sK4_skl(X4,X5,sK8_skl),X3)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).
fof(f6206,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f5965,f6203,f230,f1447,f547]) ).
fof(f6207,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ429_spl
<=> ( sequential(X5,X4)
| ~ precedes(X5,X4,sK8_skl)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X6,sK4_skl(X4,X5,sK8_skl))
| ~ sequential(X6,X2)
| ~ sequential(sK4_skl(X4,X5,sK8_skl),X3)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f6210,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f5966,f6207,f230,f1447,f547]) ).
fof(f6219,definition,
! [X0,X1,X2,X3,X4] :
( sQ432_spl
<=> ( ~ in_path(X4,sK8_skl)
| ~ sequential(sK3_skl(X4,sK8_skl),sK3_skl(X4,sK8_skl))
| ~ sequential(sK3_skl(X4,sK8_skl),X2)
| ~ sequential(sK3_skl(X4,sK8_skl),X3)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f6222,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f5971,f6219,f230,f1447,f547]) ).
fof(f6223,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ433_spl
<=> ( ~ in_path(X4,sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,sK3_skl(X4,sK8_skl))
| ~ sequential(X5,X2)
| ~ sequential(sK3_skl(X4,sK8_skl),X3)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f6226,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f5972,f6223,f230,f1447,f547]) ).
fof(f6246,definition,
! [X0,X1,X2,X3] :
( sQ434_spl
<=> ( ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f6247,plain,
! [X0,X1,X2,X3] :
( ~ sQ434_spl
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f6246]) ).
fof(f6249,plain,
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ39_spl
| ~ sQ49_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f5996,f6246,f593,f505,f1447,f547,f615]) ).
fof(f6277,plain,
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ39_spl
| ~ sQ49_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f6029,f2140,f593,f505,f1447,f547,f615]) ).
fof(f6278,definition,
! [X0,X1,X2,X3] :
( sQ435_spl
<=> ( ~ sequential(sK6_skl(sK8_skl),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f6279,plain,
! [X0,X1,X2,X3] :
( ~ sQ435_spl
| ~ sequential(sK6_skl(sK8_skl),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f6278]) ).
fof(f6281,plain,
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ39_spl
| ~ sQ49_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f6030,f6278,f593,f505,f1447,f547,f615]) ).
fof(f6298,definition,
! [X0,X1,X2,X3] :
( sQ436_spl
<=> ( ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK7_skl(sK8_skl),X3)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f6299,plain,
! [X0,X1,X2,X3] :
( ~ sQ436_spl
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK7_skl(sK8_skl),X3)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f6298]) ).
fof(f6301,plain,
( ~ sQ52_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ39_spl
| ~ sQ49_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f6052,f6298,f593,f505,f1447,f547,f615]) ).
fof(f6306,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ437_spl
<=> ( sequential(X6,X5)
| ~ precedes(X6,X5,sK8_skl)
| ~ sequential(sK4_skl(X5,X6,sK8_skl),X4)
| ~ sequential(sK4_skl(X5,X6,sK8_skl),X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f6309,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ437_spl ),
inference(split_clause,[status(thm)],[f6058,f6306,f230,f1447,f547]) ).
fof(f6310,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ438_spl
<=> ( ~ in_path(X5,sK8_skl)
| ~ sequential(sK3_skl(X5,sK8_skl),X4)
| ~ sequential(sK3_skl(X5,sK8_skl),X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f6313,plain,
( ~ sQ45_spl
| ~ sQ125_spl
| sQ5_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f6061,f6310,f230,f1447,f547]) ).
fof(f6317,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ417_spl
| ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))))
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f6083,f3130]) ).
fof(f6318,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ417_spl
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl) ),
inference(resolution,[status(thm)],[f6083,f2468]) ).
fof(f6319,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ417_spl
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl) ),
inference(resolution,[status(thm)],[f6083,f719]) ).
fof(f6320,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ417_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f6083,f274]) ).
fof(f6322,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ439_spl
<=> ( ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))))
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f6325,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ417_spl
| ~ sQ59_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f6317,f6322,f762,f6082,f135,f143]) ).
fof(f6326,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ440_spl
<=> ( ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f6329,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ417_spl
| ~ sQ59_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f6318,f6326,f762,f6082,f135,f139,f143]) ).
fof(f6330,definition,
! [X0,X1,X2,X3] :
( sQ441_spl
<=> ( sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f6333,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ417_spl
| ~ sQ59_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f6319,f6330,f762,f6082,f135,f143]) ).
fof(f6334,definition,
! [X0,X1,X2,X3,X4] :
( sQ442_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f6337,plain,
( ~ sQ417_spl
| ~ sQ59_spl
| sQ442_spl ),
inference(split_clause,[status(thm)],[f6320,f6334,f762,f6082]) ).
fof(f6349,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ422_spl
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X3)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X3)))
| ~ precedes(sK7_skl(sK8_skl),X3,X6)
| ~ shortest_path(X4,X5,X6)
| head_of(X3) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X3))
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X3)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X3)),X2)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6140,f2242]) ).
fof(f6350,plain,
! [X0,X1,X2,X3] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ422_spl
| sK0_skl(tail_of(X3),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(X3),tail_of(sK7_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X3)
| sK0_skl(tail_of(X3),tail_of(sK7_skl(sK8_skl))) = X3
| ~ edge(X3)
| sequential(sK0_skl(tail_of(X3),tail_of(sK7_skl(sK8_skl))),X3)
| ~ on_path(sK0_skl(tail_of(X3),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X3),tail_of(sK7_skl(sK8_skl))),X2)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6140,f914]) ).
fof(f6351,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ422_spl
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6140,f616]) ).
fof(f6352,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ443_spl
<=> ( sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X3)) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X3)))
| ~ precedes(sK7_skl(sK8_skl),X3,X6)
| ~ shortest_path(X4,X5,X6)
| head_of(X3) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X3))
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X3)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X3)),X2)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f6355,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ422_spl
| ~ sQ59_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f6349,f6352,f762,f6139,f135,f139]) ).
fof(f6356,definition,
! [X0,X1,X2,X3] :
( sQ444_spl
<=> ( sK0_skl(tail_of(X3),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(X3),tail_of(sK7_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X3)
| sK0_skl(tail_of(X3),tail_of(sK7_skl(sK8_skl))) = X3
| ~ edge(X3)
| sequential(sK0_skl(tail_of(X3),tail_of(sK7_skl(sK8_skl))),X3)
| ~ on_path(sK0_skl(tail_of(X3),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X3),tail_of(sK7_skl(sK8_skl))),X2)
| ~ sequential(X2,X1)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X0)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f6359,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ422_spl
| ~ sQ59_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f6350,f6356,f762,f6139,f135,f139]) ).
fof(f6360,plain,
( ~ sQ52_spl
| ~ sQ422_spl
| ~ sQ39_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f6351,f2144,f505,f6139,f615]) ).
fof(f6363,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ427_spl
| ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X1)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f6191,f3130]) ).
fof(f6364,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ427_spl
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X1)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl) ),
inference(resolution,[status(thm)],[f6191,f2468]) ).
fof(f6365,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ427_spl
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X1)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl) ),
inference(resolution,[status(thm)],[f6191,f719]) ).
fof(f6366,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ427_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f6191,f274]) ).
fof(f6368,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ445_spl
<=> ( ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X1)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).
fof(f6371,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ427_spl
| ~ sQ59_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f6363,f6368,f762,f6190,f135,f143]) ).
fof(f6372,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ446_spl
<=> ( ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X1)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f6375,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ427_spl
| ~ sQ59_spl
| sQ446_spl ),
inference(split_clause,[status(thm)],[f6364,f6372,f762,f6190,f135,f139,f143]) ).
fof(f6376,definition,
! [X0,X1,X2,X3] :
( sQ447_spl
<=> ( sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,X2)
| ~ sequential(X3,X1)
| ~ sequential(X2,sK6_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(X1,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).
fof(f6379,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ427_spl
| ~ sQ59_spl
| sQ447_spl ),
inference(split_clause,[status(thm)],[f6365,f6376,f762,f6190,f135,f143]) ).
fof(f6380,definition,
! [X0,X1,X2,X3,X4] :
( sQ448_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).
fof(f6383,plain,
( ~ sQ427_spl
| ~ sQ59_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f6366,f6380,f762,f6190]) ).
fof(f6386,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ434_spl
| ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X1)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f6247,f3130]) ).
fof(f6387,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ434_spl
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl) ),
inference(resolution,[status(thm)],[f6247,f2468]) ).
fof(f6388,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ434_spl
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl) ),
inference(resolution,[status(thm)],[f6247,f719]) ).
fof(f6389,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ434_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,X3)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f6247,f274]) ).
fof(f6391,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ449_spl
<=> ( ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X1)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f6394,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ434_spl
| ~ sQ59_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f6386,f6391,f762,f6246,f135,f143]) ).
fof(f6395,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ450_spl
<=> ( ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).
fof(f6398,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ434_spl
| ~ sQ59_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f6387,f6395,f762,f6246,f135,f139,f143]) ).
fof(f6399,definition,
! [X0,X1,X2,X3] :
( sQ451_spl
<=> ( sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ sequential(X3,X2)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition]) ).
fof(f6402,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ434_spl
| ~ sQ59_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f6388,f6399,f762,f6246,f135,f143]) ).
fof(f6403,definition,
! [X0,X1,X2,X3,X4] :
( sQ452_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,X3)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f6406,plain,
( ~ sQ434_spl
| ~ sQ59_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f6389,f6403,f762,f6246]) ).
fof(f6410,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ435_spl
| ~ precedes(X3,sK6_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| head_of(sK6_skl(sK8_skl)) = tail_of(X3)
| ~ vertex(tail_of(X3))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X3),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ sequential(sK0_skl(tail_of(X3),head_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK0_skl(tail_of(X3),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6279,f3130]) ).
fof(f6411,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ435_spl
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3)))
| ~ precedes(X3,sK6_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(X3) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X3))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3))
| ~ edge(sK6_skl(sK8_skl))
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3)),X2)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3)),sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6279,f2468]) ).
fof(f6412,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ435_spl
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X3) = head_of(sK6_skl(sK8_skl))
| X3 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)))
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)),X2)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)),sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6279,f719]) ).
fof(f6413,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ435_spl
| ~ path(head_of(sK6_skl(sK8_skl)),X4,X3)
| sK6_skl(sK8_skl) = sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ sequential(sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6279,f274]) ).
fof(f6416,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ453_spl
<=> ( ~ precedes(X3,sK6_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| head_of(sK6_skl(sK8_skl)) = tail_of(X3)
| ~ vertex(tail_of(X3))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X3),head_of(sK6_skl(sK8_skl)))
| ~ sequential(sK0_skl(tail_of(X3),head_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK0_skl(tail_of(X3),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f6419,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ435_spl
| ~ sQ64_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f6410,f6416,f781,f6278,f135,f143]) ).
fof(f6420,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ454_spl
<=> ( ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3)))
| ~ precedes(X3,sK6_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(X3) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X3))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3))
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3)),X2)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3)),sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f6423,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ435_spl
| ~ sQ64_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f6411,f6420,f781,f6278,f135,f139,f143]) ).
fof(f6424,definition,
! [X0,X1,X2,X3] :
( sQ455_spl
<=> ( sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)))
| head_of(X3) = head_of(sK6_skl(sK8_skl))
| X3 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)))
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)),X2)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)),sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).
fof(f6427,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ435_spl
| ~ sQ64_spl
| sQ455_spl ),
inference(split_clause,[status(thm)],[f6412,f6424,f781,f6278,f135,f143]) ).
fof(f6428,definition,
! [X0,X1,X2,X3,X4] :
( sQ456_spl
<=> ( ~ path(head_of(sK6_skl(sK8_skl)),X4,X3)
| sK6_skl(sK8_skl) = sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl)))
| ~ sequential(sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).
fof(f6431,plain,
( ~ sQ435_spl
| ~ sQ64_spl
| sQ456_spl ),
inference(split_clause,[status(thm)],[f6413,f6428,f781,f6278]) ).
fof(f6441,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X3,X9)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X9,X7)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X8,sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))))
| ~ on_path(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X3),X2)) = tail_of(X6)
| sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))) = X6
| ~ edge(X6)
| sequential(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),X6)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1071,f1448]) ).
fof(f6442,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X8,sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))))
| ~ on_path(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X3),X2)) = tail_of(X6)
| sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))) = X6
| ~ edge(X6)
| sequential(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),X6)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1071,f432]) ).
fof(f6443,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X7,sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))))
| ~ on_path(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| head_of(sK3_skl(tail_of(X3),X2)) = tail_of(X6)
| sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))) = X6
| ~ edge(X6)
| sequential(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),X6)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1071,f369]) ).
fof(f6444,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sequential(X3,sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))))
| ~ on_path(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),sK8_skl)
| ~ on_path(X3,sK8_skl)
| head_of(sK3_skl(tail_of(X3),X2)) = tail_of(X6)
| sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))) = X6
| ~ edge(X6)
| sequential(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),X6)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1071,f278]) ).
fof(f6452,definition,
! [X0,X1,X2,X3,X6,X7,X8,X9] :
( sQ457_spl
<=> ( ~ sequential(X3,X9)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X9,X7)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X8,sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))))
| ~ on_path(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X3),X2)) = tail_of(X6)
| sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))) = X6
| ~ edge(X6)
| sequential(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),X6)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f6455,plain,
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f6441,f6452,f295,f135,f139,f1447]) ).
fof(f6456,definition,
! [X0,X1,X2,X3,X6,X7,X8] :
( sQ458_spl
<=> ( ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X8,sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))))
| ~ on_path(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| head_of(sK3_skl(tail_of(X3),X2)) = tail_of(X6)
| sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))) = X6
| ~ edge(X6)
| sequential(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),X6)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition]) ).
fof(f6459,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ458_spl ),
inference(split_clause,[status(thm)],[f6442,f6456,f295,f135,f139,f431]) ).
fof(f6460,definition,
! [X0,X1,X2,X3,X6,X7] :
( sQ459_spl
<=> ( ~ sequential(X7,sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))))
| ~ on_path(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| head_of(sK3_skl(tail_of(X3),X2)) = tail_of(X6)
| sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))) = X6
| ~ edge(X6)
| sequential(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),X6)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).
fof(f6463,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f6443,f6460,f295,f135,f139,f368]) ).
fof(f6464,definition,
! [X0,X1,X2,X3,X6] :
( sQ460_spl
<=> ( ~ sequential(X3,sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))))
| ~ on_path(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),sK8_skl)
| ~ on_path(X3,sK8_skl)
| head_of(sK3_skl(tail_of(X3),X2)) = tail_of(X6)
| sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))) = X6
| ~ edge(X6)
| sequential(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(X3),X2))),X6)
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ460_spl])],[split_symbol_definition]) ).
fof(f6467,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ10_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f6444,f6464,f295,f135,f139]) ).
fof(f6479,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sequential(X3,X9)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X9,X7)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X8,sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X3),X2))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1072,f1448]) ).
fof(f6480,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X8,sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X3),X2))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1072,f432]) ).
fof(f6481,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sequential(X7,sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X3),X2))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1072,f369]) ).
fof(f6482,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ sequential(X3,sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X3,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X3),X2))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ shortest_path(X4,X5,sK8_skl)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1072,f278]) ).
fof(f6490,definition,
! [X0,X1,X2,X3,X6,X7,X8,X9] :
( sQ461_spl
<=> ( ~ sequential(X3,X9)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X9,X7)
| ~ on_path(X9,sK8_skl)
| ~ sequential(X8,sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X3),X2))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).
fof(f6493,plain,
( ~ sQ125_spl
| ~ sQ2_spl
| sQ10_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f6479,f6490,f295,f139,f1447]) ).
fof(f6494,definition,
! [X0,X1,X2,X3,X6,X7,X8] :
( sQ462_spl
<=> ( ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X8,sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X8)
| ~ on_path(X7,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X3),X2))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).
fof(f6497,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| sQ10_spl
| sQ462_spl ),
inference(split_clause,[status(thm)],[f6480,f6494,f295,f139,f431]) ).
fof(f6498,definition,
! [X0,X1,X2,X3,X6,X7] :
( sQ463_spl
<=> ( ~ sequential(X7,sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X3),X2))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition]) ).
fof(f6501,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| sQ10_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f6481,f6498,f295,f139,f368]) ).
fof(f6502,definition,
! [X0,X1,X2,X3,X6] :
( sQ464_spl
<=> ( ~ sequential(X3,sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6),sK8_skl)
| ~ on_path(X3,sK8_skl)
| X6 = head_of(sK3_skl(tail_of(X3),X2))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(sK3_skl(tail_of(X3),X2)),X6))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition]) ).
fof(f6505,plain,
( ~ sQ2_spl
| sQ10_spl
| sQ464_spl ),
inference(split_clause,[status(thm)],[f6482,f6502,f295,f139]) ).
fof(f6510,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ436_spl
| ~ precedes(X3,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| head_of(sK7_skl(sK8_skl)) = tail_of(X3)
| ~ vertex(tail_of(X3))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X3),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(tail_of(X3),head_of(sK7_skl(sK8_skl))),X0)
| ~ on_path(sK0_skl(tail_of(X3),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6299,f3130]) ).
fof(f6511,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ436_spl
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3)))
| ~ precedes(X3,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(X3) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X3))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3)),X0)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6299,f2468]) ).
fof(f6512,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ436_spl
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X3) = head_of(sK7_skl(sK8_skl))
| X3 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)),X0)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6299,f719]) ).
fof(f6513,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ436_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X4,X3)
| sK7_skl(sK8_skl) = sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6299,f274]) ).
fof(f6515,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ465_spl
<=> ( ~ precedes(X3,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| head_of(sK7_skl(sK8_skl)) = tail_of(X3)
| ~ vertex(tail_of(X3))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X3),head_of(sK7_skl(sK8_skl)))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(tail_of(X3),head_of(sK7_skl(sK8_skl))),X0)
| ~ on_path(sK0_skl(tail_of(X3),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).
fof(f6518,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ436_spl
| ~ sQ59_spl
| sQ465_spl ),
inference(split_clause,[status(thm)],[f6510,f6515,f762,f6298,f135,f143]) ).
fof(f6519,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ466_spl
<=> ( ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3)))
| ~ precedes(X3,sK7_skl(sK8_skl),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(X3) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X3))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3)),X0)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).
fof(f6522,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ436_spl
| ~ sQ59_spl
| sQ466_spl ),
inference(split_clause,[status(thm)],[f6511,f6519,f762,f6298,f135,f139,f143]) ).
fof(f6523,definition,
! [X0,X1,X2,X3] :
( sQ467_spl
<=> ( sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)))
| head_of(X3) = head_of(sK7_skl(sK8_skl))
| X3 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)),X0)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).
fof(f6526,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ436_spl
| ~ sQ59_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f6512,f6523,f762,f6298,f135,f143]) ).
fof(f6527,definition,
! [X0,X1,X2,X3,X4] :
( sQ468_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X4,X3)
| sK7_skl(sK8_skl) = sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl)))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f6530,plain,
( ~ sQ436_spl
| ~ sQ59_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f6513,f6527,f762,f6298]) ).
fof(f6539,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))),X6)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK6_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))))
| ~ precedes(sK6_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK6_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))) = sK6_skl(sK8_skl)
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f4135,f1838]) ).
fof(f6540,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ422_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),X6)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f4135,f6140]) ).
fof(f6541,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),X6)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK7_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f4135,f1836]) ).
fof(f6542,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ156_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),X5)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f4135,f1932]) ).
fof(f6543,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ91_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),X4)
| ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f4135,f1177]) ).
fof(f6544,plain,
! [X0,X1,X2,X3] :
( ~ sQ55_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ on_path(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),sK6_skl(sK8_skl))
| ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f4135,f643]) ).
fof(f6635,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ469_spl
<=> ( ~ on_path(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))),X6)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK6_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))))
| ~ precedes(sK6_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK6_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))) = sK6_skl(sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f6638,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ469_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f6539,f781,f6635,f135,f143,f139,f431,f547,f505]) ).
fof(f6639,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ470_spl
<=> ( ~ on_path(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),X6)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition]) ).
fof(f6642,plain,
( ~ sQ422_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ470_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f6540,f762,f6639,f135,f143,f139,f6139]) ).
fof(f6643,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ471_spl
<=> ( ~ on_path(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),X6)
| ~ sequential(X6,X4)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,sK7_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f6646,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ471_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f6541,f762,f6643,f135,f143,f139,f431,f547,f593]) ).
fof(f6647,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ472_spl
<=> ( ~ on_path(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),X5)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ472_spl])],[split_symbol_definition]) ).
fof(f6650,plain,
( ~ sQ156_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ472_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f6542,f762,f6647,f135,f143,f139,f1931]) ).
fof(f6651,definition,
! [X0,X1,X2,X3,X4] :
( sQ473_spl
<=> ( ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ on_path(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),X4)
| ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).
fof(f6654,plain,
( ~ sQ91_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ473_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f6543,f762,f6651,f135,f143,f139,f1176]) ).
fof(f6655,definition,
! [X0,X1,X2,X3] :
( sQ474_spl
<=> ( ~ on_path(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),sK6_skl(sK8_skl))
| ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ474_spl])],[split_symbol_definition]) ).
fof(f6658,plain,
( ~ sQ55_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ474_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f6544,f762,f6655,f135,f143,f139,f642]) ).
fof(f6812,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ234_spl
| sequential(X5,X2)
| ~ precedes(X5,X2,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(sK4_skl(X2,X5,sK8_skl),X4)
| ~ sequential(sK4_skl(X2,X5,sK8_skl),X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2718,f78]) ).
fof(f6817,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ476_spl
<=> ( sequential(X5,X2)
| ~ precedes(X5,X2,sK8_skl)
| ~ sequential(sK4_skl(X2,X5,sK8_skl),X4)
| ~ sequential(sK4_skl(X2,X5,sK8_skl),X2)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition]) ).
fof(f6820,plain,
( ~ sQ234_spl
| sQ5_spl
| sQ476_spl ),
inference(split_clause,[status(thm)],[f6812,f6817,f230,f2717]) ).
fof(f6825,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ28_spl
| ~ precedes(X1,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) = tail_of(X1)
| ~ vertex(tail_of(X1))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X1),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK0_skl(tail_of(X1),head_of(sK7_skl(sK8_skl))),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X1),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f4560,f3130]) ).
fof(f6826,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ28_spl
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1)))
| ~ precedes(X1,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X1) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X1))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1)),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1)),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f4560,f2468]) ).
fof(f6827,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ28_spl
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X1) = head_of(sK7_skl(sK8_skl))
| X1 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1))
| ~ edge(X1)
| sequential(X1,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)))
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f4560,f719]) ).
fof(f6828,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ49_spl
| ~ sQ28_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),X4)
| ~ sequential(X5,X3)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f4560,f274]) ).
fof(f6830,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ477_spl
<=> ( ~ precedes(X1,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) = tail_of(X1)
| ~ vertex(tail_of(X1))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X1),head_of(sK7_skl(sK8_skl)))
| ~ sequential(sK0_skl(tail_of(X1),head_of(sK7_skl(sK8_skl))),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X1),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition]) ).
fof(f6833,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ28_spl
| ~ sQ59_spl
| sQ477_spl ),
inference(split_clause,[status(thm)],[f6825,f6830,f762,f431,f593,f135,f143]) ).
fof(f6834,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ478_spl
<=> ( ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1)))
| ~ precedes(X1,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X1) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X1))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1))
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1)),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1)),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ478_spl])],[split_symbol_definition]) ).
fof(f6837,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ28_spl
| ~ sQ59_spl
| sQ478_spl ),
inference(split_clause,[status(thm)],[f6826,f6834,f762,f431,f593,f135,f139,f143]) ).
fof(f6838,definition,
! [X0,X1,X2,X3,X4] :
( sQ479_spl
<=> ( sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)))
| head_of(X1) = head_of(sK7_skl(sK8_skl))
| X1 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1))
| ~ edge(X1)
| sequential(X1,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)))
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition]) ).
fof(f6841,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ28_spl
| ~ sQ59_spl
| sQ479_spl ),
inference(split_clause,[status(thm)],[f6827,f6838,f762,f431,f593,f135,f143]) ).
fof(f6842,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ480_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ sequential(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),X4)
| ~ sequential(X5,X3)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ480_spl])],[split_symbol_definition]) ).
fof(f6845,plain,
( ~ sQ49_spl
| ~ sQ28_spl
| ~ sQ59_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f6828,f6842,f762,f431,f593]) ).
fof(f6849,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ precedes(X1,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK6_skl(sK8_skl)) = tail_of(X1)
| ~ vertex(tail_of(X1))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X1),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ sequential(sK0_skl(tail_of(X1),head_of(sK6_skl(sK8_skl))),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X1),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f4562,f3130]) ).
fof(f6850,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1)))
| ~ precedes(X1,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X1) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X1))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1))
| ~ edge(sK6_skl(sK8_skl))
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1)),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1)),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f4562,f2468]) ).
fof(f6851,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ28_spl
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X1) = head_of(sK6_skl(sK8_skl))
| X1 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1))
| ~ edge(X1)
| sequential(X1,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)))
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f4562,f719]) ).
fof(f6852,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ39_spl
| ~ sQ28_spl
| ~ path(head_of(sK6_skl(sK8_skl)),X2,X1)
| sK6_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ sequential(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),X4)
| ~ sequential(X5,X3)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f4562,f274]) ).
fof(f6855,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ481_spl
<=> ( ~ precedes(X1,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK6_skl(sK8_skl)) = tail_of(X1)
| ~ vertex(tail_of(X1))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X1),head_of(sK6_skl(sK8_skl)))
| ~ sequential(sK0_skl(tail_of(X1),head_of(sK6_skl(sK8_skl))),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X1),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition]) ).
fof(f6858,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ64_spl
| sQ481_spl ),
inference(split_clause,[status(thm)],[f6849,f6855,f781,f431,f505,f135,f143]) ).
fof(f6859,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ482_spl
<=> ( ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1)))
| ~ precedes(X1,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X1) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X1))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1))
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1)),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1)),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ482_spl])],[split_symbol_definition]) ).
fof(f6862,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ64_spl
| sQ482_spl ),
inference(split_clause,[status(thm)],[f6850,f6859,f781,f431,f505,f135,f139,f143]) ).
fof(f6863,definition,
! [X0,X1,X2,X3,X4] :
( sQ483_spl
<=> ( sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)))
| head_of(X1) = head_of(sK6_skl(sK8_skl))
| X1 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1))
| ~ edge(X1)
| sequential(X1,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)))
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)),X3)
| ~ sequential(X4,X2)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ483_spl])],[split_symbol_definition]) ).
fof(f6866,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ64_spl
| sQ483_spl ),
inference(split_clause,[status(thm)],[f6851,f6863,f781,f431,f505,f135,f143]) ).
fof(f6867,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ484_spl
<=> ( ~ path(head_of(sK6_skl(sK8_skl)),X2,X1)
| sK6_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl)))
| ~ sequential(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),X4)
| ~ sequential(X5,X3)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X5)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition]) ).
fof(f6870,plain,
( ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ64_spl
| sQ484_spl ),
inference(split_clause,[status(thm)],[f6852,f6867,f781,f431,f505]) ).
fof(f6883,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ precedes(X1,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) = tail_of(X1)
| ~ vertex(tail_of(X1))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X1),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK0_skl(tail_of(X1),head_of(sK7_skl(sK8_skl))))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X1),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5876,f3130]) ).
fof(f6884,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1)))
| ~ precedes(X1,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X1) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X1))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1)))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1)),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5876,f2468]) ).
fof(f6885,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X1) = head_of(sK7_skl(sK8_skl))
| X1 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1))
| ~ edge(X1)
| sequential(X1,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5876,f719]) ).
fof(f6886,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))))
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5876,f274]) ).
fof(f6888,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ485_spl
<=> ( ~ precedes(X1,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) = tail_of(X1)
| ~ vertex(tail_of(X1))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X1),head_of(sK7_skl(sK8_skl)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK0_skl(tail_of(X1),head_of(sK7_skl(sK8_skl))))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X1),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition]) ).
fof(f6891,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ485_spl ),
inference(split_clause,[status(thm)],[f6883,f6888,f762,f1447,f547,f593,f135,f143]) ).
fof(f6892,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ486_spl
<=> ( ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1)))
| ~ precedes(X1,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X1) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X1))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1)))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X1)),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).
fof(f6895,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ486_spl ),
inference(split_clause,[status(thm)],[f6884,f6892,f762,f1447,f547,f593,f135,f139,f143]) ).
fof(f6896,definition,
! [X0,X1,X2,X3,X4] :
( sQ487_spl
<=> ( sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)))
| head_of(X1) = head_of(sK7_skl(sK8_skl))
| X1 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1))
| ~ edge(X1)
| sequential(X1,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X1)),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ487_spl])],[split_symbol_definition]) ).
fof(f6899,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ487_spl ),
inference(split_clause,[status(thm)],[f6885,f6896,f762,f1447,f547,f593,f135,f143]) ).
fof(f6900,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ488_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X2,X1)
| sK7_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl)))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))))
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK7_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition]) ).
fof(f6903,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ488_spl ),
inference(split_clause,[status(thm)],[f6886,f6900,f762,f1447,f547,f593]) ).
fof(f6907,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ precedes(X1,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK6_skl(sK8_skl)) = tail_of(X1)
| ~ vertex(tail_of(X1))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X1),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK0_skl(tail_of(X1),head_of(sK6_skl(sK8_skl))))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X1),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5878,f3130]) ).
fof(f6908,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1)))
| ~ precedes(X1,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X1) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X1))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1))
| ~ edge(sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1)))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1)),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5878,f2468]) ).
fof(f6909,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X1) = head_of(sK6_skl(sK8_skl))
| X1 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1))
| ~ edge(X1)
| sequential(X1,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5878,f719]) ).
fof(f6910,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ path(head_of(sK6_skl(sK8_skl)),X2,X1)
| sK6_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))))
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5878,f274]) ).
fof(f6913,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ489_spl
<=> ( ~ precedes(X1,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK6_skl(sK8_skl)) = tail_of(X1)
| ~ vertex(tail_of(X1))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X1),head_of(sK6_skl(sK8_skl)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK0_skl(tail_of(X1),head_of(sK6_skl(sK8_skl))))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X1),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition]) ).
fof(f6916,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ489_spl ),
inference(split_clause,[status(thm)],[f6907,f6913,f781,f1447,f547,f505,f135,f143]) ).
fof(f6917,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ490_spl
<=> ( ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1)))
| ~ precedes(X1,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X1) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X1))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1)))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X1)),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition]) ).
fof(f6920,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ490_spl ),
inference(split_clause,[status(thm)],[f6908,f6917,f781,f1447,f547,f505,f135,f139,f143]) ).
fof(f6921,definition,
! [X0,X1,X2,X3,X4] :
( sQ491_spl
<=> ( sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)))
| head_of(X1) = head_of(sK6_skl(sK8_skl))
| X1 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1))
| ~ edge(X1)
| sequential(X1,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)))
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X1)),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition]) ).
fof(f6924,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ491_spl ),
inference(split_clause,[status(thm)],[f6909,f6921,f781,f1447,f547,f505,f135,f143]) ).
fof(f6925,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ492_spl
<=> ( ~ path(head_of(sK6_skl(sK8_skl)),X2,X1)
| sK6_skl(sK8_skl) = sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl)))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))))
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ on_path(sK1_skl(X1,X2,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X0,sK6_skl(sK8_skl))
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition]) ).
fof(f6928,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ492_spl ),
inference(split_clause,[status(thm)],[f6910,f6925,f781,f1447,f547,f505]) ).
fof(f6931,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ edge(sK0_skl(head_of(X4),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X4,X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(sK7_skl(sK8_skl)) = head_of(X4)
| ~ vertex(head_of(X4))
| sK0_skl(head_of(X4),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(sK0_skl(head_of(X4),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X4),tail_of(sK7_skl(sK8_skl))),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5884,f4135]) ).
fof(f6932,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X4)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X4)))
| ~ precedes(sK7_skl(sK8_skl),X4,X7)
| ~ shortest_path(X5,X6,X7)
| head_of(X4) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X4))
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X4)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X4)),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5884,f2242]) ).
fof(f6933,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| sK0_skl(tail_of(X4),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(X4),tail_of(sK7_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X4)
| sK0_skl(tail_of(X4),tail_of(sK7_skl(sK8_skl))) = X4
| ~ edge(X4)
| sequential(sK0_skl(tail_of(X4),tail_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X4),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X4),tail_of(sK7_skl(sK8_skl))),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5884,f914]) ).
fof(f6935,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ493_spl
<=> ( ~ edge(sK0_skl(head_of(X4),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X4,X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(sK7_skl(sK8_skl)) = head_of(X4)
| ~ vertex(head_of(X4))
| sK0_skl(head_of(X4),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ on_path(sK0_skl(head_of(X4),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X4),tail_of(sK7_skl(sK8_skl))),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition]) ).
fof(f6938,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ493_spl ),
inference(split_clause,[status(thm)],[f6931,f6935,f762,f1447,f547,f593,f135,f143,f139]) ).
fof(f6939,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ494_spl
<=> ( sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X4)) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X4)))
| ~ precedes(sK7_skl(sK8_skl),X4,X7)
| ~ shortest_path(X5,X6,X7)
| head_of(X4) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X4))
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X4)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X4)),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ494_spl])],[split_symbol_definition]) ).
fof(f6942,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ494_spl ),
inference(split_clause,[status(thm)],[f6932,f6939,f762,f1447,f547,f593,f135,f139]) ).
fof(f6943,definition,
! [X0,X1,X2,X3,X4] :
( sQ495_spl
<=> ( sK0_skl(tail_of(X4),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(X4),tail_of(sK7_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X4)
| sK0_skl(tail_of(X4),tail_of(sK7_skl(sK8_skl))) = X4
| ~ edge(X4)
| sequential(sK0_skl(tail_of(X4),tail_of(sK7_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X4),tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X4),tail_of(sK7_skl(sK8_skl))),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition]) ).
fof(f6946,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ495_spl ),
inference(split_clause,[status(thm)],[f6933,f6943,f762,f1447,f547,f593,f135,f139]) ).
fof(f6951,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ edge(sK0_skl(head_of(X4),tail_of(sK6_skl(sK8_skl))))
| ~ precedes(sK6_skl(sK8_skl),X4,X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(sK6_skl(sK8_skl)) = head_of(X4)
| ~ vertex(head_of(X4))
| sK0_skl(head_of(X4),tail_of(sK6_skl(sK8_skl))) = sK6_skl(sK8_skl)
| ~ edge(sK6_skl(sK8_skl))
| ~ on_path(sK0_skl(head_of(X4),tail_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X4),tail_of(sK6_skl(sK8_skl))),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5886,f4135]) ).
fof(f6952,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X4)) = sK6_skl(sK8_skl)
| ~ edge(sK6_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X4)))
| ~ precedes(sK6_skl(sK8_skl),X4,X7)
| ~ shortest_path(X5,X6,X7)
| head_of(X4) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(head_of(X4))
| ~ on_path(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X4)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X4)),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5886,f2242]) ).
fof(f6953,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| sK0_skl(tail_of(X4),tail_of(sK6_skl(sK8_skl))) = sK6_skl(sK8_skl)
| ~ edge(sK6_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(X4),tail_of(sK6_skl(sK8_skl))))
| tail_of(sK6_skl(sK8_skl)) = tail_of(X4)
| sK0_skl(tail_of(X4),tail_of(sK6_skl(sK8_skl))) = X4
| ~ edge(X4)
| sequential(sK0_skl(tail_of(X4),tail_of(sK6_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X4),tail_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X4),tail_of(sK6_skl(sK8_skl))),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5886,f914]) ).
fof(f6954,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ496_spl
<=> ( ~ edge(sK0_skl(head_of(X4),tail_of(sK6_skl(sK8_skl))))
| ~ precedes(sK6_skl(sK8_skl),X4,X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(sK6_skl(sK8_skl)) = head_of(X4)
| ~ vertex(head_of(X4))
| sK0_skl(head_of(X4),tail_of(sK6_skl(sK8_skl))) = sK6_skl(sK8_skl)
| ~ on_path(sK0_skl(head_of(X4),tail_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(head_of(X4),tail_of(sK6_skl(sK8_skl))),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition]) ).
fof(f6957,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ496_spl ),
inference(split_clause,[status(thm)],[f6951,f6954,f781,f1447,f547,f505,f135,f143,f139]) ).
fof(f6958,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ497_spl
<=> ( sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X4)) = sK6_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X4)))
| ~ precedes(sK6_skl(sK8_skl),X4,X7)
| ~ shortest_path(X5,X6,X7)
| head_of(X4) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(head_of(X4))
| ~ on_path(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X4)),sK8_skl)
| ~ sequential(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X4)),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition]) ).
fof(f6961,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ497_spl ),
inference(split_clause,[status(thm)],[f6952,f6958,f781,f1447,f547,f505,f135,f139]) ).
fof(f6962,definition,
! [X0,X1,X2,X3,X4] :
( sQ498_spl
<=> ( sK0_skl(tail_of(X4),tail_of(sK6_skl(sK8_skl))) = sK6_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(X4),tail_of(sK6_skl(sK8_skl))))
| tail_of(sK6_skl(sK8_skl)) = tail_of(X4)
| sK0_skl(tail_of(X4),tail_of(sK6_skl(sK8_skl))) = X4
| ~ edge(X4)
| sequential(sK0_skl(tail_of(X4),tail_of(sK6_skl(sK8_skl))),X4)
| ~ on_path(sK0_skl(tail_of(X4),tail_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(sK0_skl(tail_of(X4),tail_of(sK6_skl(sK8_skl))),X3)
| ~ sequential(X3,X2)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X0)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,sK6_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ498_spl])],[split_symbol_definition]) ).
fof(f6965,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ498_spl ),
inference(split_clause,[status(thm)],[f6953,f6962,f781,f1447,f547,f505,f135,f139]) ).
fof(f6969,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ precedes(X0,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X1)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f5926,f3130]) ).
fof(f6970,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl) ),
inference(resolution,[status(thm)],[f5926,f2468]) ).
fof(f6971,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl) ),
inference(resolution,[status(thm)],[f5926,f719]) ).
fof(f6972,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,X3)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f5926,f274]) ).
fof(f6974,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ499_spl
<=> ( ~ precedes(X0,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X1)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition]) ).
fof(f6977,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ499_spl ),
inference(split_clause,[status(thm)],[f6969,f6974,f762,f1447,f547,f593,f135,f143]) ).
fof(f6978,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ500_spl
<=> ( ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X0) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X0)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ500_spl])],[split_symbol_definition]) ).
fof(f6981,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ500_spl ),
inference(split_clause,[status(thm)],[f6970,f6978,f762,f1447,f547,f593,f135,f139,f143]) ).
fof(f6982,definition,
! [X0,X1,X2,X3,X4] :
( sQ501_spl
<=> ( sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK7_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).
fof(f6985,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ501_spl ),
inference(split_clause,[status(thm)],[f6971,f6982,f762,f1447,f547,f593,f135,f143]) ).
fof(f6986,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ502_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X1,X0)
| sK7_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl)))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,X3)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f6989,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ502_spl ),
inference(split_clause,[status(thm)],[f6972,f6986,f762,f1447,f547,f593]) ).
fof(f6993,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ precedes(X0,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X1)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f5928,f3130]) ).
fof(f6994,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0))
| ~ edge(sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl) ),
inference(resolution,[status(thm)],[f5928,f2468]) ).
fof(f6995,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl) ),
inference(resolution,[status(thm)],[f5928,f719]) ).
fof(f6996,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ path(head_of(sK6_skl(sK8_skl)),X1,X0)
| sK6_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,X3)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),sK8_skl) ),
inference(resolution,[status(thm)],[f5928,f274]) ).
fof(f6999,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ503_spl
<=> ( ~ precedes(X0,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),X1)
| ~ on_path(sK0_skl(tail_of(X0),head_of(sK6_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition]) ).
fof(f7002,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ503_spl ),
inference(split_clause,[status(thm)],[f6993,f6999,f781,f1447,f547,f505,f135,f143]) ).
fof(f7003,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ504_spl
<=> ( ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)))
| ~ precedes(X0,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X0) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X0)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ504_spl])],[split_symbol_definition]) ).
fof(f7006,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ504_spl ),
inference(split_clause,[status(thm)],[f6994,f7003,f781,f1447,f547,f505,f135,f139,f143]) ).
fof(f7007,definition,
! [X0,X1,X2,X3,X4] :
( sQ505_spl
<=> ( sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| head_of(X0) = head_of(sK6_skl(sK8_skl))
| X0 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,X3)
| ~ sequential(X4,X2)
| ~ sequential(X3,sK6_skl(sK8_skl))
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),X1)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X0)),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ505_spl])],[split_symbol_definition]) ).
fof(f7010,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ505_spl ),
inference(split_clause,[status(thm)],[f6995,f7007,f781,f1447,f547,f505,f135,f143]) ).
fof(f7011,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ506_spl
<=> ( ~ path(head_of(sK6_skl(sK8_skl)),X1,X0)
| sK6_skl(sK8_skl) = sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl)))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ sequential(X5,X3)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X3,sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,head_of(sK6_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition]) ).
fof(f7014,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ506_spl ),
inference(split_clause,[status(thm)],[f6996,f7011,f781,f1447,f547,f505]) ).
fof(f7017,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ precedes(X3,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) = tail_of(X3)
| ~ vertex(tail_of(X3))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X3),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK0_skl(tail_of(X3),head_of(sK7_skl(sK8_skl))),X0)
| ~ on_path(sK0_skl(tail_of(X3),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5968,f3130]) ).
fof(f7018,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3)))
| ~ precedes(X3,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X3) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X3))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3)),X0)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5968,f2468]) ).
fof(f7019,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X3) = head_of(sK7_skl(sK8_skl))
| X3 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)),X0)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5968,f719]) ).
fof(f7020,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X4,X3)
| sK7_skl(sK8_skl) = sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,sK7_skl(sK8_skl))
| ~ sequential(X5,X2)
| ~ sequential(sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5968,f274]) ).
fof(f7022,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ507_spl
<=> ( ~ precedes(X3,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) = tail_of(X3)
| ~ vertex(tail_of(X3))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X3),head_of(sK7_skl(sK8_skl)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK0_skl(tail_of(X3),head_of(sK7_skl(sK8_skl))),X0)
| ~ on_path(sK0_skl(tail_of(X3),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ507_spl])],[split_symbol_definition]) ).
fof(f7025,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ507_spl ),
inference(split_clause,[status(thm)],[f7017,f7022,f762,f1447,f547,f593,f135,f143]) ).
fof(f7026,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ508_spl
<=> ( ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3)))
| ~ precedes(X3,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X3) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X3))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3)),X0)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X3)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ508_spl])],[split_symbol_definition]) ).
fof(f7029,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ508_spl ),
inference(split_clause,[status(thm)],[f7018,f7026,f762,f1447,f547,f593,f135,f139,f143]) ).
fof(f7030,definition,
! [X0,X1,X2,X3,X4] :
( sQ509_spl
<=> ( sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)))
| head_of(X3) = head_of(sK7_skl(sK8_skl))
| X3 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK7_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)),X0)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X3)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f7033,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ509_spl ),
inference(split_clause,[status(thm)],[f7019,f7030,f762,f1447,f547,f593,f135,f143]) ).
fof(f7034,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ510_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X4,X3)
| sK7_skl(sK8_skl) = sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl)))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,sK7_skl(sK8_skl))
| ~ sequential(X5,X2)
| ~ sequential(sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X3,X4,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f7037,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ510_spl ),
inference(split_clause,[status(thm)],[f7020,f7034,f762,f1447,f547,f593]) ).
fof(f7041,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ precedes(X3,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK6_skl(sK8_skl)) = tail_of(X3)
| ~ vertex(tail_of(X3))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X3),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK0_skl(tail_of(X3),head_of(sK6_skl(sK8_skl))),X0)
| ~ on_path(sK0_skl(tail_of(X3),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5970,f3130]) ).
fof(f7042,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3)))
| ~ precedes(X3,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X3) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X3))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3))
| ~ edge(sK6_skl(sK8_skl))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3)),X0)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5970,f2468]) ).
fof(f7043,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X3) = head_of(sK6_skl(sK8_skl))
| X3 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)),X0)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5970,f719]) ).
fof(f7044,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ path(head_of(sK6_skl(sK8_skl)),X4,X3)
| sK6_skl(sK8_skl) = sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,sK6_skl(sK8_skl))
| ~ sequential(X5,X2)
| ~ sequential(sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f5970,f274]) ).
fof(f7047,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ511_spl
<=> ( ~ precedes(X3,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK6_skl(sK8_skl)) = tail_of(X3)
| ~ vertex(tail_of(X3))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X3),head_of(sK6_skl(sK8_skl)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK0_skl(tail_of(X3),head_of(sK6_skl(sK8_skl))),X0)
| ~ on_path(sK0_skl(tail_of(X3),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f7050,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ511_spl ),
inference(split_clause,[status(thm)],[f7041,f7047,f781,f1447,f547,f505,f135,f143]) ).
fof(f7051,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ512_spl
<=> ( ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3)))
| ~ precedes(X3,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X3) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X3))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3)),X0)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X3)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f7054,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ512_spl ),
inference(split_clause,[status(thm)],[f7042,f7051,f781,f1447,f547,f505,f135,f139,f143]) ).
fof(f7055,definition,
! [X0,X1,X2,X3,X4] :
( sQ513_spl
<=> ( sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)))
| head_of(X3) = head_of(sK6_skl(sK8_skl))
| X3 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)))
| ~ on_path(X4,sK8_skl)
| ~ sequential(X4,sK6_skl(sK8_skl))
| ~ sequential(X4,X2)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)),X0)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X3)),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ513_spl])],[split_symbol_definition]) ).
fof(f7058,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ513_spl ),
inference(split_clause,[status(thm)],[f7043,f7055,f781,f1447,f547,f505,f135,f143]) ).
fof(f7059,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ514_spl
<=> ( ~ path(head_of(sK6_skl(sK8_skl)),X4,X3)
| sK6_skl(sK8_skl) = sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl)))
| ~ on_path(X5,sK8_skl)
| ~ sequential(X5,sK6_skl(sK8_skl))
| ~ sequential(X5,X2)
| ~ sequential(sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X3,X4,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).
fof(f7062,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ514_spl ),
inference(split_clause,[status(thm)],[f7044,f7059,f781,f1447,f547,f505]) ).
fof(f7065,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ precedes(X4,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) = tail_of(X4)
| ~ vertex(tail_of(X4))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X4),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(tail_of(X4),head_of(sK7_skl(sK8_skl))),X3)
| ~ on_path(sK0_skl(tail_of(X4),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6059,f3130]) ).
fof(f7066,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X4)))
| ~ precedes(X4,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X4) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X4))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X4))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X4)),X3)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X4)),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6059,f2468]) ).
fof(f7067,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X4))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X4)))
| ~ edge(sK7_skl(sK8_skl))
| head_of(X4) = head_of(sK7_skl(sK8_skl))
| X4 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X4))
| ~ edge(X4)
| sequential(X4,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X4)))
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X4)),X3)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X4)),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6059,f719]) ).
fof(f7068,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X5,X4)
| sK7_skl(sK8_skl) = sK1_skl(X4,X5,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ sequential(sK1_skl(X4,X5,head_of(sK7_skl(sK8_skl))),X3)
| ~ on_path(sK1_skl(X4,X5,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6059,f274]) ).
fof(f7070,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ515_spl
<=> ( ~ precedes(X4,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) = tail_of(X4)
| ~ vertex(tail_of(X4))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(X4),head_of(sK7_skl(sK8_skl)))
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(tail_of(X4),head_of(sK7_skl(sK8_skl))),X3)
| ~ on_path(sK0_skl(tail_of(X4),head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition]) ).
fof(f7073,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ515_spl ),
inference(split_clause,[status(thm)],[f7065,f7070,f762,f1447,f547,f593,f135,f143]) ).
fof(f7074,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ516_spl
<=> ( ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X4)))
| ~ precedes(X4,sK7_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X4) = head_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X4))
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X4))
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X4)),X3)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),tail_of(X4)),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f7077,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ516_spl ),
inference(split_clause,[status(thm)],[f7066,f7074,f762,f1447,f547,f593,f135,f139,f143]) ).
fof(f7078,definition,
! [X0,X1,X2,X3,X4] :
( sQ517_spl
<=> ( sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X4))
| ~ edge(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X4)))
| head_of(X4) = head_of(sK7_skl(sK8_skl))
| X4 = sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X4))
| ~ edge(X4)
| sequential(X4,sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X4)))
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X4)),X3)
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),head_of(X4)),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f7081,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ517_spl ),
inference(split_clause,[status(thm)],[f7067,f7078,f762,f1447,f547,f593,f135,f143]) ).
fof(f7082,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ518_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X5,X4)
| sK7_skl(sK8_skl) = sK1_skl(X4,X5,head_of(sK7_skl(sK8_skl)))
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ sequential(sK1_skl(X4,X5,head_of(sK7_skl(sK8_skl))),X3)
| ~ on_path(sK1_skl(X4,X5,head_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).
fof(f7085,plain,
( ~ sQ49_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ59_spl
| sQ518_spl ),
inference(split_clause,[status(thm)],[f7068,f7082,f762,f1447,f547,f593]) ).
fof(f7089,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ precedes(X4,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK6_skl(sK8_skl)) = tail_of(X4)
| ~ vertex(tail_of(X4))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X4),head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(tail_of(X4),head_of(sK6_skl(sK8_skl))),X3)
| ~ on_path(sK0_skl(tail_of(X4),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6060,f3130]) ).
fof(f7090,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X4)))
| ~ precedes(X4,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X4) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X4))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X4))
| ~ edge(sK6_skl(sK8_skl))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X4)),X3)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X4)),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6060,f2468]) ).
fof(f7091,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X4))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X4)))
| ~ edge(sK6_skl(sK8_skl))
| head_of(X4) = head_of(sK6_skl(sK8_skl))
| X4 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X4))
| ~ edge(X4)
| sequential(X4,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X4)))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X4)),X3)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X4)),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6060,f719]) ).
fof(f7092,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ path(head_of(sK6_skl(sK8_skl)),X5,X4)
| sK6_skl(sK8_skl) = sK1_skl(X4,X5,head_of(sK6_skl(sK8_skl)))
| ~ edge(sK6_skl(sK8_skl))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK1_skl(X4,X5,head_of(sK6_skl(sK8_skl))),X3)
| ~ on_path(sK1_skl(X4,X5,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f6060,f274]) ).
fof(f7095,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ519_spl
<=> ( ~ precedes(X4,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK6_skl(sK8_skl)) = tail_of(X4)
| ~ vertex(tail_of(X4))
| sK6_skl(sK8_skl) = sK0_skl(tail_of(X4),head_of(sK6_skl(sK8_skl)))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(tail_of(X4),head_of(sK6_skl(sK8_skl))),X3)
| ~ on_path(sK0_skl(tail_of(X4),head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ519_spl])],[split_symbol_definition]) ).
fof(f7098,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ519_spl ),
inference(split_clause,[status(thm)],[f7089,f7095,f781,f1447,f547,f505,f135,f143]) ).
fof(f7099,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ520_spl
<=> ( ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X4)))
| ~ precedes(X4,sK6_skl(sK8_skl),X7)
| ~ shortest_path(X5,X6,X7)
| tail_of(X4) = head_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X4))
| sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X4))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X4)),X3)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),tail_of(X4)),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ520_spl])],[split_symbol_definition]) ).
fof(f7102,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ520_spl ),
inference(split_clause,[status(thm)],[f7090,f7099,f781,f1447,f547,f505,f135,f139,f143]) ).
fof(f7103,definition,
! [X0,X1,X2,X3,X4] :
( sQ521_spl
<=> ( sK6_skl(sK8_skl) = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X4))
| ~ edge(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X4)))
| head_of(X4) = head_of(sK6_skl(sK8_skl))
| X4 = sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X4))
| ~ edge(X4)
| sequential(X4,sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X4)))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X4)),X3)
| ~ on_path(sK0_skl(head_of(sK6_skl(sK8_skl)),head_of(X4)),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ521_spl])],[split_symbol_definition]) ).
fof(f7106,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ521_spl ),
inference(split_clause,[status(thm)],[f7091,f7103,f781,f1447,f547,f505,f135,f143]) ).
fof(f7107,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ522_spl
<=> ( ~ path(head_of(sK6_skl(sK8_skl)),X5,X4)
| sK6_skl(sK8_skl) = sK1_skl(X4,X5,head_of(sK6_skl(sK8_skl)))
| ~ sequential(sK6_skl(sK8_skl),X2)
| ~ sequential(sK1_skl(X4,X5,head_of(sK6_skl(sK8_skl))),X3)
| ~ on_path(sK1_skl(X4,X5,head_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f7110,plain,
( ~ sQ39_spl
| ~ sQ45_spl
| ~ sQ125_spl
| ~ sQ64_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f7092,f7107,f781,f1447,f547,f505]) ).
fof(f7113,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ~ sQ237_spl
| sequential(sK4_skl(X2,X6,sK8_skl),X5)
| ~ precedes(sK4_skl(X2,X6,sK8_skl),X5,X7)
| ~ path(X12,X13,X7)
| sequential(X6,X2)
| ~ precedes(X6,X2,sK8_skl)
| ~ path(X10,X11,sK8_skl)
| ~ sequential(sK4_skl(X2,X6,sK8_skl),X2)
| ~ path(X8,X9,sK8_skl)
| ~ sequential(sK4_skl(X5,sK4_skl(X2,X6,sK8_skl),X7),X4)
| ~ on_path(sK4_skl(X5,sK4_skl(X2,X6,sK8_skl),X7),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f1253]) ).
fof(f7114,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ237_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ in_path(head_of(X2),X5)
| ~ path(X6,X7,X5)
| X2 = sK3_skl(head_of(X2),X5)
| ~ edge(sK3_skl(head_of(X2),X5))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X5))
| ~ sequential(sK3_skl(head_of(X2),X5),X4)
| ~ on_path(sK3_skl(head_of(X2),X5),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f743]) ).
fof(f7115,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X6,X7,sK8_skl)
| head_of(X2) = tail_of(X5)
| ~ vertex(head_of(X2))
| sK0_skl(tail_of(X5),head_of(X2)) = X5
| ~ edge(X5)
| sequential(sK0_skl(tail_of(X5),head_of(X2)),X5)
| ~ sequential(sK0_skl(tail_of(X5),head_of(X2)),X4)
| ~ on_path(sK0_skl(tail_of(X5),head_of(X2)),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f912]) ).
fof(f7116,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X6,X7,sK8_skl)
| X5 = head_of(X2)
| ~ vertex(X5)
| X2 = sK0_skl(head_of(X2),X5)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X5))
| ~ sequential(sK0_skl(head_of(X2),X5),X4)
| ~ on_path(sK0_skl(head_of(X2),X5),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f671]) ).
fof(f7117,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ237_spl
| ~ shortest_path(X6,X7,sK8_skl)
| X5 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(X2),X5))
| ~ sequential(sK0_skl(head_of(X2),X5),X4)
| ~ on_path(sK0_skl(head_of(X2),X5),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f188]) ).
fof(f7118,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X6,X7,sK8_skl)
| head_of(X2) = X5
| ~ vertex(X5)
| X2 = sK0_skl(X5,head_of(X2))
| ~ edge(X2)
| sequential(X2,sK0_skl(X5,head_of(X2)))
| ~ sequential(sK0_skl(X5,head_of(X2)),X4)
| ~ on_path(sK0_skl(X5,head_of(X2)),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f727]) ).
fof(f7119,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ237_spl
| ~ shortest_path(X7,X8,sK8_skl)
| vertex(head_of(sK1_skl(X5,head_of(X2),X6)))
| ~ path(X6,head_of(X2),X5)
| ~ sequential(sK1_skl(X5,head_of(X2),X6),X4)
| ~ on_path(sK1_skl(X5,head_of(X2),X6),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f690]) ).
fof(f7120,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ237_spl
| ~ shortest_path(X9,X10,sK8_skl)
| ~ path(tail_of(sK1_skl(X7,head_of(X2),X8)),X6,X5)
| vertex(head_of(sK1_skl(X7,head_of(X2),X8)))
| ~ path(X8,head_of(X2),X7)
| ~ sequential(sK1_skl(X5,X6,tail_of(sK1_skl(X7,head_of(X2),X8))),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(sK1_skl(X7,head_of(X2),X8))),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f689]) ).
fof(f7121,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ sQ237_spl
| ~ shortest_path(X10,X11,sK8_skl)
| ~ path(tail_of(sK3_skl(head_of(X2),X7)),X6,X5)
| ~ in_path(head_of(X2),X7)
| ~ path(X8,X9,X7)
| X2 = sK3_skl(head_of(X2),X7)
| ~ edge(sK3_skl(head_of(X2),X7))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X7))
| ~ sequential(sK1_skl(X5,X6,tail_of(sK3_skl(head_of(X2),X7))),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(sK3_skl(head_of(X2),X7))),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f742]) ).
fof(f7122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(sK0_skl(tail_of(X7),head_of(X2))),X6,X5)
| head_of(X2) = tail_of(X7)
| ~ vertex(head_of(X2))
| sK0_skl(tail_of(X7),head_of(X2)) = X7
| ~ edge(X7)
| sequential(sK0_skl(tail_of(X7),head_of(X2)),X7)
| ~ sequential(sK1_skl(X5,X6,tail_of(sK0_skl(tail_of(X7),head_of(X2)))),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(sK0_skl(tail_of(X7),head_of(X2)))),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f911]) ).
fof(f7123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X2),X7)),X6,X5)
| X7 = head_of(X2)
| ~ vertex(X7)
| X2 = sK0_skl(head_of(X2),X7)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X7))
| ~ sequential(sK1_skl(X5,X6,tail_of(sK0_skl(head_of(X2),X7))),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(sK0_skl(head_of(X2),X7))),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f670]) ).
fof(f7124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ2_spl
| ~ sQ237_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(sK0_skl(head_of(X2),X7)),X6,X5)
| X7 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X7)
| X7 = head_of(sK0_skl(head_of(X2),X7))
| ~ sequential(sK1_skl(X5,X6,tail_of(sK0_skl(head_of(X2),X7))),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(sK0_skl(head_of(X2),X7))),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f187]) ).
fof(f7125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(sK0_skl(X7,head_of(X2))),X6,X5)
| head_of(X2) = X7
| ~ vertex(X7)
| X2 = sK0_skl(X7,head_of(X2))
| ~ edge(X2)
| sequential(X2,sK0_skl(X7,head_of(X2)))
| ~ sequential(sK1_skl(X5,X6,tail_of(sK0_skl(X7,head_of(X2)))),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(sK0_skl(X7,head_of(X2)))),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f726]) ).
fof(f7126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ237_spl
| ~ shortest_path(X9,X10,sK8_skl)
| ~ path(tail_of(X3),X8,X7)
| vertex(head_of(sK1_skl(X2,head_of(X3),X4)))
| ~ path(X4,head_of(X3),X2)
| ~ sequential(sK1_skl(X7,X8,tail_of(X3)),X6)
| ~ on_path(sK1_skl(X7,X8,tail_of(X3)),sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(X3),X4))
| ~ on_path(sK1_skl(X2,head_of(X3),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f686]) ).
fof(f7127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ sQ237_spl
| ~ shortest_path(X10,X11,sK8_skl)
| ~ path(tail_of(X2),X7,X6)
| ~ in_path(head_of(X2),X3)
| ~ path(X8,X9,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X6,X7,tail_of(X2)),X5)
| ~ on_path(sK1_skl(X6,X7,tail_of(X2)),sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(X2),X3))
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f740]) ).
fof(f7128,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(X3),X7,X6)
| head_of(X3) = tail_of(X2)
| ~ vertex(head_of(X3))
| sK0_skl(tail_of(X2),head_of(X3)) = X2
| ~ edge(X2)
| sequential(sK0_skl(tail_of(X2),head_of(X3)),X2)
| ~ sequential(sK1_skl(X6,X7,tail_of(X3)),X5)
| ~ on_path(sK1_skl(X6,X7,tail_of(X3)),sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),head_of(X3)))
| ~ on_path(sK0_skl(tail_of(X2),head_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f909]) ).
fof(f7129,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(X2),X7,X6)
| X3 = head_of(X2)
| ~ vertex(X3)
| X2 = sK0_skl(head_of(X2),X3)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X6,X7,tail_of(X2)),X5)
| ~ on_path(sK1_skl(X6,X7,tail_of(X2)),sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f666]) ).
fof(f7130,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ2_spl
| ~ sQ237_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(X2),X7,X6)
| X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X6,X7,tail_of(X2)),X5)
| ~ on_path(sK1_skl(X6,X7,tail_of(X2)),sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f185]) ).
fof(f7131,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(X3),X7,X6)
| head_of(X3) = X2
| ~ vertex(X2)
| X3 = sK0_skl(X2,head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(X2,head_of(X3)))
| ~ sequential(sK1_skl(X6,X7,tail_of(X3)),X5)
| ~ on_path(sK1_skl(X6,X7,tail_of(X3)),sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,head_of(X3)))
| ~ on_path(sK0_skl(X2,head_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f723]) ).
fof(f7132,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ237_spl
| ~ shortest_path(X7,X8,sK8_skl)
| ~ path(tail_of(X2),X6,X5)
| ~ sequential(sK1_skl(X5,X6,tail_of(X2)),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(X2)),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f176]) ).
fof(f7133,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ237_spl
| sK3_skl(tail_of(X2),X3) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),X3))
| sequential(sK3_skl(tail_of(X2),X3),X2)
| ~ shortest_path(X8,X9,sK8_skl)
| ~ in_path(tail_of(X2),X3)
| ~ path(X6,X7,X3)
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK3_skl(tail_of(X2),X3))
| ~ on_path(sK3_skl(tail_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f1067]) ).
fof(f7134,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ237_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ in_path(head_of(X2),X3)
| ~ path(X6,X7,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(X2),X3))
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f741]) ).
fof(f7136,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| head_of(sK3_skl(tail_of(X3),X4)) = tail_of(X2)
| sK0_skl(tail_of(X2),head_of(sK3_skl(tail_of(X3),X4))) = X2
| ~ edge(X2)
| sequential(sK0_skl(tail_of(X2),head_of(sK3_skl(tail_of(X3),X4))),X2)
| sK3_skl(tail_of(X3),X4) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X4))
| sequential(sK3_skl(tail_of(X3),X4),X3)
| ~ shortest_path(X9,X10,sK8_skl)
| ~ in_path(tail_of(X3),X4)
| ~ path(X7,X8,X4)
| ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),head_of(sK3_skl(tail_of(X3),X4))))
| ~ on_path(sK0_skl(tail_of(X2),head_of(sK3_skl(tail_of(X3),X4))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f1071]) ).
fof(f7137,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(X5),X4,X3)
| head_of(sK1_skl(X3,X4,tail_of(X5))) = tail_of(X2)
| ~ vertex(head_of(sK1_skl(X3,X4,tail_of(X5))))
| sK0_skl(tail_of(X2),head_of(sK1_skl(X3,X4,tail_of(X5)))) = X2
| ~ edge(X2)
| sequential(sK0_skl(tail_of(X2),head_of(sK1_skl(X3,X4,tail_of(X5)))),X2)
| ~ sequential(X5,X7)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X7,X6)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X0)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),head_of(sK1_skl(X3,X4,tail_of(X5)))))
| ~ on_path(sK0_skl(tail_of(X2),head_of(sK1_skl(X3,X4,tail_of(X5)))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f908]) ).
fof(f7138,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X7,X8,sK8_skl)
| tail_of(X4) = X3
| ~ vertex(X3)
| ~ vertex(tail_of(X4))
| X3 = tail_of(sK0_skl(X3,tail_of(X4)))
| head_of(sK0_skl(X3,tail_of(X4))) = tail_of(X2)
| ~ vertex(head_of(sK0_skl(X3,tail_of(X4))))
| sK0_skl(tail_of(X2),head_of(sK0_skl(X3,tail_of(X4)))) = X2
| ~ edge(X2)
| sequential(sK0_skl(tail_of(X2),head_of(sK0_skl(X3,tail_of(X4)))),X2)
| ~ sequential(X4,X6)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),head_of(sK0_skl(X3,tail_of(X4)))))
| ~ on_path(sK0_skl(tail_of(X2),head_of(sK0_skl(X3,tail_of(X4)))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f907]) ).
fof(f7139,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X6,X7,sK8_skl)
| head_of(X3) = tail_of(X2)
| ~ vertex(tail_of(X2))
| X3 = sK0_skl(tail_of(X2),head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(tail_of(X2),head_of(X3)))
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),head_of(X3)))
| ~ on_path(sK0_skl(tail_of(X2),head_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f3129]) ).
fof(f7140,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X6,X7,sK8_skl)
| head_of(X3) = tail_of(X2)
| ~ vertex(head_of(X3))
| sK0_skl(tail_of(X2),head_of(X3)) = X2
| ~ edge(X2)
| sequential(sK0_skl(tail_of(X2),head_of(X3)),X2)
| ~ sequential(X3,X5)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),head_of(X3)))
| ~ on_path(sK0_skl(tail_of(X2),head_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f910]) ).
fof(f7141,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ237_spl
| sK0_skl(tail_of(X2),X3) = X2
| ~ edge(X2)
| ~ edge(sK0_skl(tail_of(X2),X3))
| sequential(sK0_skl(tail_of(X2),X3),X2)
| ~ shortest_path(X6,X7,sK8_skl)
| X3 = tail_of(X2)
| ~ vertex(X3)
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),X3))
| ~ on_path(sK0_skl(tail_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f2234]) ).
fof(f7142,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ2_spl
| ~ sQ237_spl
| X4 = head_of(sK3_skl(tail_of(X2),X3))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK3_skl(tail_of(X2),X3)),X4))
| sK3_skl(tail_of(X2),X3) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),X3))
| sequential(sK3_skl(tail_of(X2),X3),X2)
| ~ shortest_path(X9,X10,sK8_skl)
| ~ in_path(tail_of(X2),X3)
| ~ path(X7,X8,X3)
| ~ sequential(X2,X6)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(sK3_skl(tail_of(X2),X3)),X4))
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),X3)),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f1072]) ).
fof(f7143,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ237_spl
| X4 = head_of(sK0_skl(X2,tail_of(X3)))
| ~ vertex(head_of(sK0_skl(X2,tail_of(X3))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK0_skl(X2,tail_of(X3))),X4))
| ~ shortest_path(X7,X8,sK8_skl)
| tail_of(X3) = X2
| ~ vertex(X2)
| ~ vertex(tail_of(X3))
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(sK0_skl(X2,tail_of(X3))),X4))
| ~ on_path(sK0_skl(head_of(sK0_skl(X2,tail_of(X3))),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f489]) ).
fof(f7144,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ2_spl
| ~ sQ237_spl
| ~ shortest_path(X8,X9,sK8_skl)
| ~ path(tail_of(X4),X3,X2)
| X5 = head_of(sK1_skl(X2,X3,tail_of(X4)))
| ~ vertex(head_of(sK1_skl(X2,X3,tail_of(X4))))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5))
| ~ sequential(X4,X7)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X7,X6)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X0)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5))
| ~ on_path(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f184]) ).
fof(f7145,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X6,X7,sK8_skl)
| X3 = head_of(X2)
| ~ vertex(X3)
| X2 = sK0_skl(head_of(X2),X3)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X3))
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f667]) ).
fof(f7146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ2_spl
| ~ sQ237_spl
| ~ shortest_path(X6,X7,sK8_skl)
| X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f186]) ).
fof(f7147,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X6,X7,sK8_skl)
| head_of(X3) = X2
| ~ vertex(X2)
| X3 = sK0_skl(X2,head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(X2,head_of(X3)))
| ~ sequential(X3,X5)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,head_of(X3)))
| ~ on_path(sK0_skl(X2,head_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f724]) ).
fof(f7148,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ237_spl
| ~ shortest_path(X6,X7,sK8_skl)
| tail_of(X3) = X2
| ~ vertex(X2)
| sK0_skl(X2,tail_of(X3)) = X3
| ~ edge(X3)
| sequential(sK0_skl(X2,tail_of(X3)),X3)
| ~ sequential(X3,X5)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,tail_of(X3)))
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f1648]) ).
fof(f7149,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ3_spl
| ~ sQ237_spl
| ~ shortest_path(X6,X7,sK8_skl)
| tail_of(X3) = X2
| ~ vertex(X2)
| ~ vertex(tail_of(X3))
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ sequential(X3,X5)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,tail_of(X3)))
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f491]) ).
fof(f7150,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ sQ237_spl
| vertex(head_of(sK1_skl(X2,head_of(sK3_skl(tail_of(X3),X4)),X5)))
| ~ path(X5,head_of(sK3_skl(tail_of(X3),X4)),X2)
| sK3_skl(tail_of(X3),X4) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X4))
| sequential(sK3_skl(tail_of(X3),X4),X3)
| ~ shortest_path(X10,X11,sK8_skl)
| ~ in_path(tail_of(X3),X4)
| ~ path(X8,X9,X4)
| ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X7,X6)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X0)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(sK3_skl(tail_of(X3),X4)),X5))
| ~ on_path(sK1_skl(X2,head_of(sK3_skl(tail_of(X3),X4)),X5),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f1064]) ).
fof(f7151,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ sQ237_spl
| ~ shortest_path(X9,X10,sK8_skl)
| ~ path(tail_of(X5),X4,X3)
| vertex(head_of(sK1_skl(X2,head_of(sK1_skl(X3,X4,tail_of(X5))),X6)))
| ~ path(X6,head_of(sK1_skl(X3,X4,tail_of(X5))),X2)
| ~ sequential(X5,X8)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X0)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(sK1_skl(X3,X4,tail_of(X5))),X6))
| ~ on_path(sK1_skl(X2,head_of(sK1_skl(X3,X4,tail_of(X5))),X6),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f685]) ).
fof(f7152,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ3_spl
| ~ sQ237_spl
| ~ shortest_path(X8,X9,sK8_skl)
| tail_of(X4) = X3
| ~ vertex(X3)
| ~ vertex(tail_of(X4))
| X3 = tail_of(sK0_skl(X3,tail_of(X4)))
| vertex(head_of(sK1_skl(X2,head_of(sK0_skl(X3,tail_of(X4))),X5)))
| ~ path(X5,head_of(sK0_skl(X3,tail_of(X4))),X2)
| ~ sequential(X4,X7)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X7,X6)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X0)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(sK0_skl(X3,tail_of(X4))),X5))
| ~ on_path(sK1_skl(X2,head_of(sK0_skl(X3,tail_of(X4))),X5),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f684]) ).
fof(f7153,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ237_spl
| ~ shortest_path(X7,X8,sK8_skl)
| vertex(head_of(sK1_skl(X2,head_of(X3),X4)))
| ~ path(X4,head_of(X3),X2)
| ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(X3),X4))
| ~ on_path(sK1_skl(X2,head_of(X3),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f687]) ).
fof(f7154,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ237_spl
| ~ shortest_path(X7,X8,sK8_skl)
| ~ path(tail_of(X4),X3,X2)
| ~ sequential(X4,X6)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,X3,tail_of(X4)))
| ~ on_path(sK1_skl(X2,X3,tail_of(X4)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f177]) ).
fof(f7165,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ237_spl
| ~ precedes(X2,X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f161]) ).
fof(f7166,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ237_spl
| ~ sequential(X5,X5)
| ~ sequential(X5,X2)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f79]) ).
fof(f7167,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ237_spl
| ~ sequential(X8,X5)
| ~ sequential(X8,X2)
| ~ precedes(X8,X2,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f79]) ).
fof(f7169,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ237_spl
| ~ precedes(X8,X2,sK8_skl)
| ~ sequential(X5,X8)
| ~ sequential(X5,X2)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f79]) ).
fof(f7170,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ237_spl
| edge(X5)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f377]) ).
fof(f7171,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ237_spl
| ~ sequential(X8,X5)
| ~ on_path(X8,sK8_skl)
| precedes(X8,X2,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f366]) ).
fof(f7172,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ237_spl
| on_path(X2,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f76]) ).
fof(f7173,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ237_spl
| on_path(X5,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f2731,f75]) ).
fof(f7174,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X12,X13] :
( sQ523_spl
<=> ( sequential(sK4_skl(X2,X6,sK8_skl),X5)
| ~ precedes(sK4_skl(X2,X6,sK8_skl),X5,X7)
| ~ path(X12,X13,X7)
| sequential(X6,X2)
| ~ precedes(X6,X2,sK8_skl)
| ~ sequential(sK4_skl(X2,X6,sK8_skl),X2)
| ~ sequential(sK4_skl(X5,sK4_skl(X2,X6,sK8_skl),X7),X4)
| ~ on_path(sK4_skl(X5,sK4_skl(X2,X6,sK8_skl),X7),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition]) ).
fof(f7177,plain,
( ~ sQ237_spl
| sQ5_spl
| sQ523_spl ),
inference(split_clause,[status(thm)],[f7113,f7174,f230,f2730]) ).
fof(f7178,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ524_spl
<=> ( ~ in_path(head_of(X2),X5)
| ~ path(X6,X7,X5)
| X2 = sK3_skl(head_of(X2),X5)
| ~ edge(sK3_skl(head_of(X2),X5))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X5))
| ~ sequential(sK3_skl(head_of(X2),X5),X4)
| ~ on_path(sK3_skl(head_of(X2),X5),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).
fof(f7181,plain,
( ~ sQ237_spl
| sQ10_spl
| sQ524_spl ),
inference(split_clause,[status(thm)],[f7114,f7178,f295,f2730]) ).
fof(f7182,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ525_spl
<=> ( head_of(X2) = tail_of(X5)
| ~ vertex(head_of(X2))
| sK0_skl(tail_of(X5),head_of(X2)) = X5
| ~ edge(X5)
| sequential(sK0_skl(tail_of(X5),head_of(X2)),X5)
| ~ sequential(sK0_skl(tail_of(X5),head_of(X2)),X4)
| ~ on_path(sK0_skl(tail_of(X5),head_of(X2)),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ525_spl])],[split_symbol_definition]) ).
fof(f7185,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ525_spl ),
inference(split_clause,[status(thm)],[f7115,f7182,f295,f2730,f135,f139]) ).
fof(f7186,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ526_spl
<=> ( X5 = head_of(X2)
| ~ vertex(X5)
| X2 = sK0_skl(head_of(X2),X5)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X5))
| ~ sequential(sK0_skl(head_of(X2),X5),X4)
| ~ on_path(sK0_skl(head_of(X2),X5),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition]) ).
fof(f7189,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ526_spl ),
inference(split_clause,[status(thm)],[f7116,f7186,f295,f2730,f135,f139]) ).
fof(f7190,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ527_spl
<=> ( X5 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(X2),X5))
| ~ sequential(sK0_skl(head_of(X2),X5),X4)
| ~ on_path(sK0_skl(head_of(X2),X5),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ527_spl])],[split_symbol_definition]) ).
fof(f7193,plain,
( ~ sQ2_spl
| ~ sQ237_spl
| sQ10_spl
| sQ527_spl ),
inference(split_clause,[status(thm)],[f7117,f7190,f295,f2730,f139]) ).
fof(f7194,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ528_spl
<=> ( head_of(X2) = X5
| ~ vertex(X5)
| X2 = sK0_skl(X5,head_of(X2))
| ~ edge(X2)
| sequential(X2,sK0_skl(X5,head_of(X2)))
| ~ sequential(sK0_skl(X5,head_of(X2)),X4)
| ~ on_path(sK0_skl(X5,head_of(X2)),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ528_spl])],[split_symbol_definition]) ).
fof(f7197,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ528_spl ),
inference(split_clause,[status(thm)],[f7118,f7194,f295,f2730,f135,f143]) ).
fof(f7198,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ529_spl
<=> ( vertex(head_of(sK1_skl(X5,head_of(X2),X6)))
| ~ path(X6,head_of(X2),X5)
| ~ sequential(sK1_skl(X5,head_of(X2),X6),X4)
| ~ on_path(sK1_skl(X5,head_of(X2),X6),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ529_spl])],[split_symbol_definition]) ).
fof(f7201,plain,
( ~ sQ237_spl
| sQ10_spl
| sQ529_spl ),
inference(split_clause,[status(thm)],[f7119,f7198,f295,f2730]) ).
fof(f7202,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sQ530_spl
<=> ( ~ path(tail_of(sK1_skl(X7,head_of(X2),X8)),X6,X5)
| vertex(head_of(sK1_skl(X7,head_of(X2),X8)))
| ~ path(X8,head_of(X2),X7)
| ~ sequential(sK1_skl(X5,X6,tail_of(sK1_skl(X7,head_of(X2),X8))),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(sK1_skl(X7,head_of(X2),X8))),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).
fof(f7205,plain,
( ~ sQ237_spl
| sQ10_spl
| sQ530_spl ),
inference(split_clause,[status(thm)],[f7120,f7202,f295,f2730]) ).
fof(f7206,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ531_spl
<=> ( ~ path(tail_of(sK3_skl(head_of(X2),X7)),X6,X5)
| ~ in_path(head_of(X2),X7)
| ~ path(X8,X9,X7)
| X2 = sK3_skl(head_of(X2),X7)
| ~ edge(sK3_skl(head_of(X2),X7))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X7))
| ~ sequential(sK1_skl(X5,X6,tail_of(sK3_skl(head_of(X2),X7))),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(sK3_skl(head_of(X2),X7))),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ531_spl])],[split_symbol_definition]) ).
fof(f7209,plain,
( ~ sQ237_spl
| sQ10_spl
| sQ531_spl ),
inference(split_clause,[status(thm)],[f7121,f7206,f295,f2730]) ).
fof(f7210,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ532_spl
<=> ( ~ path(tail_of(sK0_skl(tail_of(X7),head_of(X2))),X6,X5)
| head_of(X2) = tail_of(X7)
| ~ vertex(head_of(X2))
| sK0_skl(tail_of(X7),head_of(X2)) = X7
| ~ edge(X7)
| sequential(sK0_skl(tail_of(X7),head_of(X2)),X7)
| ~ sequential(sK1_skl(X5,X6,tail_of(sK0_skl(tail_of(X7),head_of(X2)))),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(sK0_skl(tail_of(X7),head_of(X2)))),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ532_spl])],[split_symbol_definition]) ).
fof(f7213,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ532_spl ),
inference(split_clause,[status(thm)],[f7122,f7210,f295,f2730,f135,f139]) ).
fof(f7214,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ533_spl
<=> ( ~ path(tail_of(sK0_skl(head_of(X2),X7)),X6,X5)
| X7 = head_of(X2)
| ~ vertex(X7)
| X2 = sK0_skl(head_of(X2),X7)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X7))
| ~ sequential(sK1_skl(X5,X6,tail_of(sK0_skl(head_of(X2),X7))),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(sK0_skl(head_of(X2),X7))),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ533_spl])],[split_symbol_definition]) ).
fof(f7217,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ533_spl ),
inference(split_clause,[status(thm)],[f7123,f7214,f295,f2730,f135,f139]) ).
fof(f7218,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ534_spl
<=> ( ~ path(tail_of(sK0_skl(head_of(X2),X7)),X6,X5)
| X7 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X7)
| X7 = head_of(sK0_skl(head_of(X2),X7))
| ~ sequential(sK1_skl(X5,X6,tail_of(sK0_skl(head_of(X2),X7))),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(sK0_skl(head_of(X2),X7))),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ534_spl])],[split_symbol_definition]) ).
fof(f7221,plain,
( ~ sQ2_spl
| ~ sQ237_spl
| sQ10_spl
| sQ534_spl ),
inference(split_clause,[status(thm)],[f7124,f7218,f295,f2730,f139]) ).
fof(f7222,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ535_spl
<=> ( ~ path(tail_of(sK0_skl(X7,head_of(X2))),X6,X5)
| head_of(X2) = X7
| ~ vertex(X7)
| X2 = sK0_skl(X7,head_of(X2))
| ~ edge(X2)
| sequential(X2,sK0_skl(X7,head_of(X2)))
| ~ sequential(sK1_skl(X5,X6,tail_of(sK0_skl(X7,head_of(X2)))),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(sK0_skl(X7,head_of(X2)))),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f7225,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ535_spl ),
inference(split_clause,[status(thm)],[f7125,f7222,f295,f2730,f135,f143]) ).
fof(f7226,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sQ536_spl
<=> ( ~ path(tail_of(X3),X8,X7)
| vertex(head_of(sK1_skl(X2,head_of(X3),X4)))
| ~ path(X4,head_of(X3),X2)
| ~ sequential(sK1_skl(X7,X8,tail_of(X3)),X6)
| ~ on_path(sK1_skl(X7,X8,tail_of(X3)),sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(X3),X4))
| ~ on_path(sK1_skl(X2,head_of(X3),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).
fof(f7229,plain,
( ~ sQ237_spl
| sQ10_spl
| sQ536_spl ),
inference(split_clause,[status(thm)],[f7126,f7226,f295,f2730]) ).
fof(f7230,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ537_spl
<=> ( ~ path(tail_of(X2),X7,X6)
| ~ in_path(head_of(X2),X3)
| ~ path(X8,X9,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X6,X7,tail_of(X2)),X5)
| ~ on_path(sK1_skl(X6,X7,tail_of(X2)),sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(X2),X3))
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f7233,plain,
( ~ sQ237_spl
| sQ10_spl
| sQ537_spl ),
inference(split_clause,[status(thm)],[f7127,f7230,f295,f2730]) ).
fof(f7234,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ538_spl
<=> ( ~ path(tail_of(X3),X7,X6)
| head_of(X3) = tail_of(X2)
| ~ vertex(head_of(X3))
| sK0_skl(tail_of(X2),head_of(X3)) = X2
| ~ edge(X2)
| sequential(sK0_skl(tail_of(X2),head_of(X3)),X2)
| ~ sequential(sK1_skl(X6,X7,tail_of(X3)),X5)
| ~ on_path(sK1_skl(X6,X7,tail_of(X3)),sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),head_of(X3)))
| ~ on_path(sK0_skl(tail_of(X2),head_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition]) ).
fof(f7237,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ538_spl ),
inference(split_clause,[status(thm)],[f7128,f7234,f295,f2730,f135,f139]) ).
fof(f7238,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ539_spl
<=> ( ~ path(tail_of(X2),X7,X6)
| X3 = head_of(X2)
| ~ vertex(X3)
| X2 = sK0_skl(head_of(X2),X3)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X6,X7,tail_of(X2)),X5)
| ~ on_path(sK1_skl(X6,X7,tail_of(X2)),sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ539_spl])],[split_symbol_definition]) ).
fof(f7241,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ539_spl ),
inference(split_clause,[status(thm)],[f7129,f7238,f295,f2730,f135,f139]) ).
fof(f7242,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ540_spl
<=> ( ~ path(tail_of(X2),X7,X6)
| X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(sK1_skl(X6,X7,tail_of(X2)),X5)
| ~ on_path(sK1_skl(X6,X7,tail_of(X2)),sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f7245,plain,
( ~ sQ2_spl
| ~ sQ237_spl
| sQ10_spl
| sQ540_spl ),
inference(split_clause,[status(thm)],[f7130,f7242,f295,f2730,f139]) ).
fof(f7246,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ541_spl
<=> ( ~ path(tail_of(X3),X7,X6)
| head_of(X3) = X2
| ~ vertex(X2)
| X3 = sK0_skl(X2,head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(X2,head_of(X3)))
| ~ sequential(sK1_skl(X6,X7,tail_of(X3)),X5)
| ~ on_path(sK1_skl(X6,X7,tail_of(X3)),sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,head_of(X3)))
| ~ on_path(sK0_skl(X2,head_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition]) ).
fof(f7249,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ541_spl ),
inference(split_clause,[status(thm)],[f7131,f7246,f295,f2730,f135,f143]) ).
fof(f7250,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ542_spl
<=> ( ~ path(tail_of(X2),X6,X5)
| ~ sequential(sK1_skl(X5,X6,tail_of(X2)),X4)
| ~ on_path(sK1_skl(X5,X6,tail_of(X2)),sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ542_spl])],[split_symbol_definition]) ).
fof(f7253,plain,
( ~ sQ237_spl
| sQ10_spl
| sQ542_spl ),
inference(split_clause,[status(thm)],[f7132,f7250,f295,f2730]) ).
fof(f7254,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ543_spl
<=> ( sK3_skl(tail_of(X2),X3) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),X3))
| sequential(sK3_skl(tail_of(X2),X3),X2)
| ~ in_path(tail_of(X2),X3)
| ~ path(X6,X7,X3)
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK3_skl(tail_of(X2),X3))
| ~ on_path(sK3_skl(tail_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).
fof(f7257,plain,
( ~ sQ237_spl
| sQ10_spl
| sQ543_spl ),
inference(split_clause,[status(thm)],[f7133,f7254,f295,f2730]) ).
fof(f7258,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ544_spl
<=> ( ~ in_path(head_of(X2),X3)
| ~ path(X6,X7,X3)
| X2 = sK3_skl(head_of(X2),X3)
| ~ edge(sK3_skl(head_of(X2),X3))
| ~ edge(X2)
| sequential(X2,sK3_skl(head_of(X2),X3))
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK3_skl(head_of(X2),X3))
| ~ on_path(sK3_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f7261,plain,
( ~ sQ237_spl
| sQ10_spl
| sQ544_spl ),
inference(split_clause,[status(thm)],[f7134,f7258,f295,f2730]) ).
fof(f7262,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sQ545_spl
<=> ( head_of(sK3_skl(tail_of(X3),X4)) = tail_of(X2)
| sK0_skl(tail_of(X2),head_of(sK3_skl(tail_of(X3),X4))) = X2
| ~ edge(X2)
| sequential(sK0_skl(tail_of(X2),head_of(sK3_skl(tail_of(X3),X4))),X2)
| sK3_skl(tail_of(X3),X4) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X4))
| sequential(sK3_skl(tail_of(X3),X4),X3)
| ~ in_path(tail_of(X3),X4)
| ~ path(X7,X8,X4)
| ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),head_of(sK3_skl(tail_of(X3),X4))))
| ~ on_path(sK0_skl(tail_of(X2),head_of(sK3_skl(tail_of(X3),X4))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).
fof(f7265,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ545_spl ),
inference(split_clause,[status(thm)],[f7136,f7262,f295,f2730,f135,f139]) ).
fof(f7266,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ546_spl
<=> ( ~ path(tail_of(X5),X4,X3)
| head_of(sK1_skl(X3,X4,tail_of(X5))) = tail_of(X2)
| ~ vertex(head_of(sK1_skl(X3,X4,tail_of(X5))))
| sK0_skl(tail_of(X2),head_of(sK1_skl(X3,X4,tail_of(X5)))) = X2
| ~ edge(X2)
| sequential(sK0_skl(tail_of(X2),head_of(sK1_skl(X3,X4,tail_of(X5)))),X2)
| ~ sequential(X5,X7)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X7,X6)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X0)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),head_of(sK1_skl(X3,X4,tail_of(X5)))))
| ~ on_path(sK0_skl(tail_of(X2),head_of(sK1_skl(X3,X4,tail_of(X5)))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ546_spl])],[split_symbol_definition]) ).
fof(f7269,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ546_spl ),
inference(split_clause,[status(thm)],[f7137,f7266,f295,f2730,f135,f139]) ).
fof(f7270,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ547_spl
<=> ( tail_of(X4) = X3
| ~ vertex(X3)
| ~ vertex(tail_of(X4))
| X3 = tail_of(sK0_skl(X3,tail_of(X4)))
| head_of(sK0_skl(X3,tail_of(X4))) = tail_of(X2)
| ~ vertex(head_of(sK0_skl(X3,tail_of(X4))))
| sK0_skl(tail_of(X2),head_of(sK0_skl(X3,tail_of(X4)))) = X2
| ~ edge(X2)
| sequential(sK0_skl(tail_of(X2),head_of(sK0_skl(X3,tail_of(X4)))),X2)
| ~ sequential(X4,X6)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),head_of(sK0_skl(X3,tail_of(X4)))))
| ~ on_path(sK0_skl(tail_of(X2),head_of(sK0_skl(X3,tail_of(X4)))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).
fof(f7273,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ547_spl ),
inference(split_clause,[status(thm)],[f7138,f7270,f295,f2730,f135,f139,f143]) ).
fof(f7274,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ548_spl
<=> ( head_of(X3) = tail_of(X2)
| ~ vertex(tail_of(X2))
| X3 = sK0_skl(tail_of(X2),head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(tail_of(X2),head_of(X3)))
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),head_of(X3)))
| ~ on_path(sK0_skl(tail_of(X2),head_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f7277,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ548_spl ),
inference(split_clause,[status(thm)],[f7139,f7274,f295,f2730,f135,f143]) ).
fof(f7278,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ549_spl
<=> ( head_of(X3) = tail_of(X2)
| ~ vertex(head_of(X3))
| sK0_skl(tail_of(X2),head_of(X3)) = X2
| ~ edge(X2)
| sequential(sK0_skl(tail_of(X2),head_of(X3)),X2)
| ~ sequential(X3,X5)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),head_of(X3)))
| ~ on_path(sK0_skl(tail_of(X2),head_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition]) ).
fof(f7281,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ549_spl ),
inference(split_clause,[status(thm)],[f7140,f7278,f295,f2730,f135,f139]) ).
fof(f7282,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ550_spl
<=> ( sK0_skl(tail_of(X2),X3) = X2
| ~ edge(X2)
| ~ edge(sK0_skl(tail_of(X2),X3))
| sequential(sK0_skl(tail_of(X2),X3),X2)
| X3 = tail_of(X2)
| ~ vertex(X3)
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(tail_of(X2),X3))
| ~ on_path(sK0_skl(tail_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition]) ).
fof(f7285,plain,
( ~ sQ2_spl
| ~ sQ237_spl
| sQ10_spl
| sQ550_spl ),
inference(split_clause,[status(thm)],[f7141,f7282,f295,f2730,f139]) ).
fof(f7286,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sQ551_spl
<=> ( X4 = head_of(sK3_skl(tail_of(X2),X3))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK3_skl(tail_of(X2),X3)),X4))
| sK3_skl(tail_of(X2),X3) = X2
| ~ edge(X2)
| ~ edge(sK3_skl(tail_of(X2),X3))
| sequential(sK3_skl(tail_of(X2),X3),X2)
| ~ in_path(tail_of(X2),X3)
| ~ path(X7,X8,X3)
| ~ sequential(X2,X6)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(sK3_skl(tail_of(X2),X3)),X4))
| ~ on_path(sK0_skl(head_of(sK3_skl(tail_of(X2),X3)),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition]) ).
fof(f7289,plain,
( ~ sQ2_spl
| ~ sQ237_spl
| sQ10_spl
| sQ551_spl ),
inference(split_clause,[status(thm)],[f7142,f7286,f295,f2730,f139]) ).
fof(f7290,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ552_spl
<=> ( X4 = head_of(sK0_skl(X2,tail_of(X3)))
| ~ vertex(head_of(sK0_skl(X2,tail_of(X3))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK0_skl(X2,tail_of(X3))),X4))
| tail_of(X3) = X2
| ~ vertex(X2)
| ~ vertex(tail_of(X3))
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(sK0_skl(X2,tail_of(X3))),X4))
| ~ on_path(sK0_skl(head_of(sK0_skl(X2,tail_of(X3))),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ552_spl])],[split_symbol_definition]) ).
fof(f7293,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ237_spl
| sQ10_spl
| sQ552_spl ),
inference(split_clause,[status(thm)],[f7143,f7290,f295,f2730,f143,f139]) ).
fof(f7294,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ553_spl
<=> ( ~ path(tail_of(X4),X3,X2)
| X5 = head_of(sK1_skl(X2,X3,tail_of(X4)))
| ~ vertex(head_of(sK1_skl(X2,X3,tail_of(X4))))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5))
| ~ sequential(X4,X7)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X7,X6)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X0)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5))
| ~ on_path(sK0_skl(head_of(sK1_skl(X2,X3,tail_of(X4))),X5),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition]) ).
fof(f7297,plain,
( ~ sQ2_spl
| ~ sQ237_spl
| sQ10_spl
| sQ553_spl ),
inference(split_clause,[status(thm)],[f7144,f7294,f295,f2730,f139]) ).
fof(f7298,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ554_spl
<=> ( X3 = head_of(X2)
| ~ vertex(X3)
| X2 = sK0_skl(head_of(X2),X3)
| ~ edge(X2)
| sequential(X2,sK0_skl(head_of(X2),X3))
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).
fof(f7301,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ554_spl ),
inference(split_clause,[status(thm)],[f7145,f7298,f295,f2730,f135,f139]) ).
fof(f7302,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ555_spl
<=> ( X3 = head_of(X2)
| ~ vertex(head_of(X2))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(X2),X3))
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(head_of(X2),X3))
| ~ on_path(sK0_skl(head_of(X2),X3),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ555_spl])],[split_symbol_definition]) ).
fof(f7305,plain,
( ~ sQ2_spl
| ~ sQ237_spl
| sQ10_spl
| sQ555_spl ),
inference(split_clause,[status(thm)],[f7146,f7302,f295,f2730,f139]) ).
fof(f7306,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ556_spl
<=> ( head_of(X3) = X2
| ~ vertex(X2)
| X3 = sK0_skl(X2,head_of(X3))
| ~ edge(X3)
| sequential(X3,sK0_skl(X2,head_of(X3)))
| ~ sequential(X3,X5)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,head_of(X3)))
| ~ on_path(sK0_skl(X2,head_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ556_spl])],[split_symbol_definition]) ).
fof(f7309,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ556_spl ),
inference(split_clause,[status(thm)],[f7147,f7306,f295,f2730,f135,f143]) ).
fof(f7310,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ557_spl
<=> ( tail_of(X3) = X2
| ~ vertex(X2)
| sK0_skl(X2,tail_of(X3)) = X3
| ~ edge(X3)
| sequential(sK0_skl(X2,tail_of(X3)),X3)
| ~ sequential(X3,X5)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,tail_of(X3)))
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ557_spl])],[split_symbol_definition]) ).
fof(f7313,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ237_spl
| sQ10_spl
| sQ557_spl ),
inference(split_clause,[status(thm)],[f7148,f7310,f295,f2730,f135,f143]) ).
fof(f7314,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ558_spl
<=> ( tail_of(X3) = X2
| ~ vertex(X2)
| ~ vertex(tail_of(X3))
| X2 = tail_of(sK0_skl(X2,tail_of(X3)))
| ~ sequential(X3,X5)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK0_skl(X2,tail_of(X3)))
| ~ on_path(sK0_skl(X2,tail_of(X3)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ558_spl])],[split_symbol_definition]) ).
fof(f7317,plain,
( ~ sQ3_spl
| ~ sQ237_spl
| sQ10_spl
| sQ558_spl ),
inference(split_clause,[status(thm)],[f7149,f7314,f295,f2730,f143]) ).
fof(f7318,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ559_spl
<=> ( vertex(head_of(sK1_skl(X2,head_of(sK3_skl(tail_of(X3),X4)),X5)))
| ~ path(X5,head_of(sK3_skl(tail_of(X3),X4)),X2)
| sK3_skl(tail_of(X3),X4) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X4))
| sequential(sK3_skl(tail_of(X3),X4),X3)
| ~ in_path(tail_of(X3),X4)
| ~ path(X8,X9,X4)
| ~ sequential(X3,X7)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X7,X6)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X0)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(sK3_skl(tail_of(X3),X4)),X5))
| ~ on_path(sK1_skl(X2,head_of(sK3_skl(tail_of(X3),X4)),X5),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ559_spl])],[split_symbol_definition]) ).
fof(f7321,plain,
( ~ sQ237_spl
| sQ10_spl
| sQ559_spl ),
inference(split_clause,[status(thm)],[f7150,f7318,f295,f2730]) ).
fof(f7322,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sQ560_spl
<=> ( ~ path(tail_of(X5),X4,X3)
| vertex(head_of(sK1_skl(X2,head_of(sK1_skl(X3,X4,tail_of(X5))),X6)))
| ~ path(X6,head_of(sK1_skl(X3,X4,tail_of(X5))),X2)
| ~ sequential(X5,X8)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X8,X7)
| ~ on_path(X8,sK8_skl)
| ~ sequential(X7,X0)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(sK1_skl(X3,X4,tail_of(X5))),X6))
| ~ on_path(sK1_skl(X2,head_of(sK1_skl(X3,X4,tail_of(X5))),X6),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ560_spl])],[split_symbol_definition]) ).
fof(f7325,plain,
( ~ sQ237_spl
| sQ10_spl
| sQ560_spl ),
inference(split_clause,[status(thm)],[f7151,f7322,f295,f2730]) ).
fof(f7326,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ561_spl
<=> ( tail_of(X4) = X3
| ~ vertex(X3)
| ~ vertex(tail_of(X4))
| X3 = tail_of(sK0_skl(X3,tail_of(X4)))
| vertex(head_of(sK1_skl(X2,head_of(sK0_skl(X3,tail_of(X4))),X5)))
| ~ path(X5,head_of(sK0_skl(X3,tail_of(X4))),X2)
| ~ sequential(X4,X7)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X7,X6)
| ~ on_path(X7,sK8_skl)
| ~ sequential(X6,X0)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(sK0_skl(X3,tail_of(X4))),X5))
| ~ on_path(sK1_skl(X2,head_of(sK0_skl(X3,tail_of(X4))),X5),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ561_spl])],[split_symbol_definition]) ).
fof(f7329,plain,
( ~ sQ3_spl
| ~ sQ237_spl
| sQ10_spl
| sQ561_spl ),
inference(split_clause,[status(thm)],[f7152,f7326,f295,f2730,f143]) ).
fof(f7330,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ562_spl
<=> ( vertex(head_of(sK1_skl(X2,head_of(X3),X4)))
| ~ path(X4,head_of(X3),X2)
| ~ sequential(X3,X6)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,head_of(X3),X4))
| ~ on_path(sK1_skl(X2,head_of(X3),X4),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ562_spl])],[split_symbol_definition]) ).
fof(f7333,plain,
( ~ sQ237_spl
| sQ10_spl
| sQ562_spl ),
inference(split_clause,[status(thm)],[f7153,f7330,f295,f2730]) ).
fof(f7334,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ563_spl
<=> ( ~ path(tail_of(X4),X3,X2)
| ~ sequential(X4,X6)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X0)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X1,sK1_skl(X2,X3,tail_of(X4)))
| ~ on_path(sK1_skl(X2,X3,tail_of(X4)),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ563_spl])],[split_symbol_definition]) ).
fof(f7337,plain,
( ~ sQ237_spl
| sQ10_spl
| sQ563_spl ),
inference(split_clause,[status(thm)],[f7154,f7334,f295,f2730]) ).
fof(f7348,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ564_spl
<=> ( ~ sequential(X5,X5)
| ~ sequential(X5,X2)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ564_spl])],[split_symbol_definition]) ).
fof(f7351,plain,
( ~ sQ237_spl
| sQ5_spl
| sQ564_spl ),
inference(split_clause,[status(thm)],[f7166,f7348,f230,f2730]) ).
fof(f7352,definition,
! [X0,X1,X2,X3,X4,X5,X8] :
( sQ565_spl
<=> ( ~ sequential(X8,X5)
| ~ sequential(X8,X2)
| ~ precedes(X8,X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ565_spl])],[split_symbol_definition]) ).
fof(f7355,plain,
( ~ sQ237_spl
| sQ5_spl
| sQ565_spl ),
inference(split_clause,[status(thm)],[f7167,f7352,f230,f2730]) ).
fof(f7357,definition,
! [X0,X1,X2,X3,X4,X5,X8] :
( sQ566_spl
<=> ( ~ precedes(X8,X2,sK8_skl)
| ~ sequential(X5,X8)
| ~ sequential(X5,X2)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ566_spl])],[split_symbol_definition]) ).
fof(f7360,plain,
( ~ sQ237_spl
| sQ5_spl
| sQ566_spl ),
inference(split_clause,[status(thm)],[f7169,f7357,f230,f2730]) ).
fof(f7361,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ567_spl
<=> ( edge(X5)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ567_spl])],[split_symbol_definition]) ).
fof(f7364,plain,
( ~ sQ237_spl
| sQ5_spl
| sQ567_spl ),
inference(split_clause,[status(thm)],[f7170,f7361,f230,f2730]) ).
fof(f7365,definition,
! [X0,X1,X2,X3,X4,X5,X8] :
( sQ568_spl
<=> ( ~ sequential(X8,X5)
| ~ on_path(X8,sK8_skl)
| precedes(X8,X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ568_spl])],[split_symbol_definition]) ).
fof(f7368,plain,
( ~ sQ237_spl
| sQ5_spl
| sQ568_spl ),
inference(split_clause,[status(thm)],[f7171,f7365,f230,f2730]) ).
fof(f7369,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ569_spl
<=> ( on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ569_spl])],[split_symbol_definition]) ).
fof(f7372,plain,
( ~ sQ237_spl
| sQ5_spl
| sQ569_spl ),
inference(split_clause,[status(thm)],[f7172,f7369,f230,f2730]) ).
fof(f7373,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ570_spl
<=> ( on_path(X5,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X3)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X0)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ570_spl])],[split_symbol_definition]) ).
fof(f7376,plain,
( ~ sQ237_spl
| sQ5_spl
| sQ570_spl ),
inference(split_clause,[status(thm)],[f7173,f7373,f230,f2730]) ).
fof(f7408,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ237_spl
| sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ path(X6,X7,sK8_skl)
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(sK4_skl(X2,X3,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(resolution,[status(thm)],[f7165,f78]) ).
fof(f7414,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ571_spl
<=> ( sequential(X3,X2)
| ~ precedes(X3,X2,sK8_skl)
| ~ sequential(X2,X5)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X5,X4)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X0)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X1,sK4_skl(X2,X3,sK8_skl))
| ~ on_path(sK4_skl(X2,X3,sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ571_spl])],[split_symbol_definition]) ).
fof(f7417,plain,
( ~ sQ237_spl
| sQ5_spl
| sQ571_spl ),
inference(split_clause,[status(thm)],[f7408,f7414,f230,f2730]) ).
fof(f7518,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ4_spl
| ~ sQ2_spl
| ~ edge(X3)
| ~ sP0_prd(sK0_skl(tail_of(X3),head_of(X3)),tail_of(X3),head_of(X3))
| ~ sequential(X3,sK0_skl(tail_of(X3),head_of(X3)))
| head_of(X3) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(X3),head_of(X3)),X4,X2)
| ~ shortest_path(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2014,f24]) ).
fof(f7531,plain,
! [X0,X1,X2,X3] :
( ~ sQ4_spl
| ~ sQ2_spl
| ~ edge(X3)
| ~ sP0_prd(sK0_skl(tail_of(X3),head_of(X3)),tail_of(X3),head_of(X3))
| ~ sequential(X3,sK0_skl(tail_of(X3),head_of(X3)))
| ~ precedes(sK0_skl(tail_of(X3),head_of(X3)),X3,X2)
| ~ shortest_path(X0,X1,X2) ),
inference(equality_resolution,[status(thm)],[f7518]) ).
fof(f7547,plain,
! [X0,X1,X2,X3] :
( ~ sQ4_spl
| ~ sQ2_spl
| ~ sP0_prd(sK0_skl(tail_of(X3),head_of(X3)),tail_of(X3),head_of(X3))
| ~ sequential(X3,sK0_skl(tail_of(X3),head_of(X3)))
| ~ precedes(sK0_skl(tail_of(X3),head_of(X3)),X3,X2)
| ~ shortest_path(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f7531,f62]) ).
fof(f7553,plain,
! [X0,X1,X2,X3] :
( ~ sQ2_spl
| ~ sQ4_spl
| tail_of(X3) = head_of(sK0_skl(tail_of(X3),head_of(X3)))
| head_of(X3) = tail_of(X3)
| ~ vertex(tail_of(X3))
| ~ vertex(head_of(X3))
| ~ sequential(X3,sK0_skl(tail_of(X3),head_of(X3)))
| ~ precedes(sK0_skl(tail_of(X3),head_of(X3)),X3,X2)
| ~ shortest_path(X0,X1,X2) ),
inference(resolution,[status(thm)],[f7547,f140]) ).
fof(f7570,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ237_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sequential(sK0_skl(tail_of(X2),head_of(X2)),X6)
| ~ on_path(sK0_skl(tail_of(X2),head_of(X2)),sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X3)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| tail_of(X2) = head_of(sK0_skl(tail_of(X2),head_of(X2)))
| head_of(X2) = tail_of(X2)
| ~ vertex(tail_of(X2))
| ~ vertex(head_of(X2))
| ~ sequential(X2,sK0_skl(tail_of(X2),head_of(X2)))
| ~ shortest_path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f7553,f2731]) ).
fof(f7571,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sequential(sK0_skl(tail_of(X2),head_of(X2)),X5)
| ~ on_path(sK0_skl(tail_of(X2),head_of(X2)),sK8_skl)
| ~ sequential(X5,X3)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| tail_of(X2) = head_of(sK0_skl(tail_of(X2),head_of(X2)))
| head_of(X2) = tail_of(X2)
| ~ vertex(tail_of(X2))
| ~ vertex(head_of(X2))
| ~ sequential(X2,sK0_skl(tail_of(X2),head_of(X2)))
| ~ shortest_path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f7553,f1448]) ).
fof(f7572,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sequential(sK0_skl(tail_of(X2),head_of(X2)),X3)
| ~ on_path(sK0_skl(tail_of(X2),head_of(X2)),sK8_skl)
| ~ sequential(X4,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| tail_of(X2) = head_of(sK0_skl(tail_of(X2),head_of(X2)))
| head_of(X2) = tail_of(X2)
| ~ vertex(tail_of(X2))
| ~ vertex(head_of(X2))
| ~ sequential(X2,sK0_skl(tail_of(X2),head_of(X2)))
| ~ shortest_path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f7553,f432]) ).
fof(f7573,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sequential(X3,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X2),head_of(X2)),X3)
| ~ on_path(sK0_skl(tail_of(X2),head_of(X2)),sK8_skl)
| tail_of(X2) = head_of(sK0_skl(tail_of(X2),head_of(X2)))
| head_of(X2) = tail_of(X2)
| ~ vertex(tail_of(X2))
| ~ vertex(head_of(X2))
| ~ sequential(X2,sK0_skl(tail_of(X2),head_of(X2)))
| ~ shortest_path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f7553,f369]) ).
fof(f7574,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sequential(sK0_skl(tail_of(X2),head_of(X2)),X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X2),head_of(X2)),sK8_skl)
| tail_of(X2) = head_of(sK0_skl(tail_of(X2),head_of(X2)))
| head_of(X2) = tail_of(X2)
| ~ vertex(tail_of(X2))
| ~ vertex(head_of(X2))
| ~ sequential(X2,sK0_skl(tail_of(X2),head_of(X2)))
| ~ shortest_path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f7553,f278]) ).
fof(f7577,definition,
! [X2,X3,X4,X5,X6] :
( sQ572_spl
<=> ( ~ sequential(sK0_skl(tail_of(X2),head_of(X2)),X6)
| ~ on_path(sK0_skl(tail_of(X2),head_of(X2)),sK8_skl)
| ~ sequential(X6,X5)
| ~ on_path(X6,sK8_skl)
| ~ sequential(X5,X3)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| tail_of(X2) = head_of(sK0_skl(tail_of(X2),head_of(X2)))
| head_of(X2) = tail_of(X2)
| ~ vertex(tail_of(X2))
| ~ vertex(head_of(X2))
| ~ sequential(X2,sK0_skl(tail_of(X2),head_of(X2))) ) ),
introduced(definition,[new_symbols(definition,[sQ572_spl])],[split_symbol_definition]) ).
fof(f7580,plain,
( ~ sQ237_spl
| ~ sQ2_spl
| ~ sQ4_spl
| sQ572_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f7570,f295,f7577,f147,f139,f2730]) ).
fof(f7581,definition,
! [X2,X3,X4,X5] :
( sQ573_spl
<=> ( ~ sequential(sK0_skl(tail_of(X2),head_of(X2)),X5)
| ~ on_path(sK0_skl(tail_of(X2),head_of(X2)),sK8_skl)
| ~ sequential(X5,X3)
| ~ on_path(X5,sK8_skl)
| ~ sequential(X4,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| tail_of(X2) = head_of(sK0_skl(tail_of(X2),head_of(X2)))
| head_of(X2) = tail_of(X2)
| ~ vertex(tail_of(X2))
| ~ vertex(head_of(X2))
| ~ sequential(X2,sK0_skl(tail_of(X2),head_of(X2))) ) ),
introduced(definition,[new_symbols(definition,[sQ573_spl])],[split_symbol_definition]) ).
fof(f7584,plain,
( ~ sQ125_spl
| ~ sQ2_spl
| ~ sQ4_spl
| sQ573_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f7571,f295,f7581,f147,f139,f1447]) ).
fof(f7585,definition,
! [X2,X3,X4] :
( sQ574_spl
<=> ( ~ sequential(sK0_skl(tail_of(X2),head_of(X2)),X3)
| ~ on_path(sK0_skl(tail_of(X2),head_of(X2)),sK8_skl)
| ~ sequential(X4,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X4,sK8_skl)
| ~ sequential(X3,X4)
| ~ on_path(X3,sK8_skl)
| tail_of(X2) = head_of(sK0_skl(tail_of(X2),head_of(X2)))
| head_of(X2) = tail_of(X2)
| ~ vertex(tail_of(X2))
| ~ vertex(head_of(X2))
| ~ sequential(X2,sK0_skl(tail_of(X2),head_of(X2))) ) ),
introduced(definition,[new_symbols(definition,[sQ574_spl])],[split_symbol_definition]) ).
fof(f7588,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ4_spl
| sQ574_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f7572,f295,f7585,f147,f139,f431]) ).
fof(f7589,definition,
! [X2,X3] :
( sQ575_spl
<=> ( ~ sequential(X3,X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK0_skl(tail_of(X2),head_of(X2)),X3)
| ~ on_path(sK0_skl(tail_of(X2),head_of(X2)),sK8_skl)
| tail_of(X2) = head_of(sK0_skl(tail_of(X2),head_of(X2)))
| head_of(X2) = tail_of(X2)
| ~ vertex(tail_of(X2))
| ~ vertex(head_of(X2))
| ~ sequential(X2,sK0_skl(tail_of(X2),head_of(X2))) ) ),
introduced(definition,[new_symbols(definition,[sQ575_spl])],[split_symbol_definition]) ).
fof(f7592,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| ~ sQ4_spl
| sQ575_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f7573,f295,f7589,f147,f139,f368]) ).
fof(f7593,definition,
! [X2] :
( sQ576_spl
<=> ( ~ sequential(sK0_skl(tail_of(X2),head_of(X2)),X2)
| ~ on_path(X2,sK8_skl)
| ~ on_path(sK0_skl(tail_of(X2),head_of(X2)),sK8_skl)
| tail_of(X2) = head_of(sK0_skl(tail_of(X2),head_of(X2)))
| head_of(X2) = tail_of(X2)
| ~ vertex(tail_of(X2))
| ~ vertex(head_of(X2))
| ~ sequential(X2,sK0_skl(tail_of(X2),head_of(X2))) ) ),
introduced(definition,[new_symbols(definition,[sQ576_spl])],[split_symbol_definition]) ).
fof(f7596,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| sQ576_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f7574,f295,f7593,f147,f139]) ).
fof(f7608,plain,
! [X0,X1,X2] :
( ~ sQ243_spl
| ~ sQ19_spl
| ~ sequential(X2,sK0_skl(tail_of(X1),X0))
| ~ on_path(sK0_skl(tail_of(X1),X0),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| sK0_skl(tail_of(X1),X0) = X1
| ~ edge(X1)
| X0 = tail_of(X1)
| ~ vertex(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2813,f199]) ).
fof(f7800,plain,
! [X0,X1,X2,X3] :
( ~ sQ141_spl
| ~ sQ19_spl
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X3,sK0_skl(X0,tail_of(X1)))
| ~ on_path(sK0_skl(X0,tail_of(X1)),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(X2,X3)
| ~ on_path(X2,sK8_skl)
| tail_of(X1) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(X1)) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1706,f199]) ).
fof(f7819,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ282_spl
| sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl))) = sK6_skl(sK8_skl)
| ~ edge(sK6_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl))))
| ~ precedes(sK6_skl(sK8_skl),sK7_skl(sK8_skl),X5)
| ~ shortest_path(X3,X4,X5)
| head_of(sK7_skl(sK8_skl)) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(head_of(sK7_skl(sK8_skl)))
| ~ precedes(sK6_skl(sK8_skl),sK7_skl(sK8_skl),X2)
| ~ shortest_path(X0,X1,X2)
| head_of(sK7_skl(sK8_skl)) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(sK6_skl(sK8_skl)))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl))) ),
inference(resolution,[status(thm)],[f3352,f2242]) ).
fof(f7820,definition,
( sQ577_spl
<=> sK7_skl(sK8_skl) = sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl))) ),
introduced(definition,[new_symbols(definition,[sQ577_spl])],[split_symbol_definition]) ).
fof(f7821,plain,
( ~ sQ577_spl
| sK7_skl(sK8_skl) = sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl))) ),
inference(component_clause,[status(thm)],[f7820]) ).
fof(f7823,definition,
( sQ578_spl
<=> vertex(tail_of(sK6_skl(sK8_skl))) ),
introduced(definition,[new_symbols(definition,[sQ578_spl])],[split_symbol_definition]) ).
fof(f7825,plain,
( sQ578_spl
| ~ vertex(tail_of(sK6_skl(sK8_skl))) ),
inference(component_clause,[status(thm)],[f7823]) ).
fof(f7826,definition,
( sQ579_spl
<=> head_of(sK7_skl(sK8_skl)) = tail_of(sK6_skl(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ579_spl])],[split_symbol_definition]) ).
fof(f7827,plain,
( ~ sQ579_spl
| head_of(sK7_skl(sK8_skl)) = tail_of(sK6_skl(sK8_skl)) ),
inference(component_clause,[status(thm)],[f7826]) ).
fof(f7829,definition,
! [X0,X1,X2] :
( sQ580_spl
<=> ( ~ precedes(sK6_skl(sK8_skl),sK7_skl(sK8_skl),X2)
| ~ shortest_path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ580_spl])],[split_symbol_definition]) ).
fof(f7830,plain,
! [X0,X1,X2] :
( ~ sQ580_spl
| ~ precedes(sK6_skl(sK8_skl),sK7_skl(sK8_skl),X2)
| ~ shortest_path(X0,X1,X2) ),
inference(component_clause,[status(thm)],[f7829]) ).
fof(f7832,definition,
( sQ581_spl
<=> vertex(head_of(sK7_skl(sK8_skl))) ),
introduced(definition,[new_symbols(definition,[sQ581_spl])],[split_symbol_definition]) ).
fof(f7834,plain,
( sQ581_spl
| ~ vertex(head_of(sK7_skl(sK8_skl))) ),
inference(component_clause,[status(thm)],[f7832]) ).
fof(f7835,definition,
( sQ582_spl
<=> edge(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ582_spl])],[split_symbol_definition]) ).
fof(f7837,plain,
( sQ582_spl
| ~ edge(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl)))) ),
inference(component_clause,[status(thm)],[f7835]) ).
fof(f7838,definition,
( sQ583_spl
<=> sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl))) = sK6_skl(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ583_spl])],[split_symbol_definition]) ).
fof(f7839,plain,
( ~ sQ583_spl
| sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl))) = sK6_skl(sK8_skl) ),
inference(component_clause,[status(thm)],[f7838]) ).
fof(f7841,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ282_spl
| sQ583_spl
| ~ sQ64_spl
| ~ sQ582_spl
| ~ sQ581_spl
| sQ580_spl
| sQ579_spl
| ~ sQ578_spl
| sQ577_spl ),
inference(split_clause,[status(thm)],[f7819,f7820,f7823,f7826,f7829,f7832,f7835,f781,f7838,f3351,f135,f139]) ).
fof(f7853,plain,
! [X0,X1,X2] :
( ~ sQ583_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(sK6_skl(sK8_skl),sK7_skl(sK8_skl),X2)
| ~ shortest_path(X0,X1,X2)
| head_of(sK7_skl(sK8_skl)) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(sK6_skl(sK8_skl)))
| sK7_skl(sK8_skl) = sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK7_skl(sK8_skl),sK6_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f7839,f3130]) ).
fof(f7917,definition,
( sQ591_spl
<=> sK7_skl(sK8_skl) = sK6_skl(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ591_spl])],[split_symbol_definition]) ).
fof(f7918,plain,
( ~ sQ591_spl
| sK7_skl(sK8_skl) = sK6_skl(sK8_skl) ),
inference(component_clause,[status(thm)],[f7917]) ).
fof(f7919,plain,
( sQ591_spl
| sK7_skl(sK8_skl) != sK6_skl(sK8_skl) ),
inference(component_clause,[status(thm)],[f7917]) ).
fof(f7921,plain,
( ~ sQ583_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ580_spl
| sQ579_spl
| ~ sQ578_spl
| sQ577_spl
| ~ sQ59_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f7853,f638,f762,f7820,f7823,f7826,f7829,f135,f143,f7838]) ).
fof(f8000,plain,
( ~ sQ579_spl
| sK7_skl(sK8_skl) = sK6_skl(sK8_skl)
| ~ edge(sK6_skl(sK8_skl))
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK7_skl(sK8_skl),sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f7827,f66]) ).
fof(f8161,plain,
( ~ sQ579_spl
| sQ591_spl
| ~ sQ64_spl
| ~ sQ59_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f8000,f638,f762,f781,f7917,f7826]) ).
fof(f8186,definition,
( sQ611_spl
<=> vertex(head_of(sK6_skl(sK8_skl))) ),
introduced(definition,[new_symbols(definition,[sQ611_spl])],[split_symbol_definition]) ).
fof(f8188,plain,
( sQ611_spl
| ~ vertex(head_of(sK6_skl(sK8_skl))) ),
inference(component_clause,[status(thm)],[f8186]) ).
fof(f8763,plain,
( sQ611_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8188,f515]) ).
fof(f8764,plain,
( sQ611_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f8763]) ).
fof(f8765,plain,
( sQ578_spl
| ~ edge(sK6_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f7825,f24]) ).
fof(f8766,plain,
( sQ578_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f8765,f781,f7823]) ).
fof(f8823,plain,
( ~ sQ52_spl
| ~ sQ591_spl
| sequential(sK6_skl(sK8_skl),sK6_skl(sK8_skl)) ),
inference(backward_demodulation,[status(thm)],[f7918,f616]) ).
fof(f8884,plain,
( ~ sQ52_spl
| ~ sQ591_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8823,f153]) ).
fof(f8885,plain,
( ~ sQ52_spl
| ~ sQ591_spl ),
inference(contradiction_clause,[status(thm)],[f8884]) ).
fof(f9137,plain,
! [X0,X1] :
( ~ sQ580_spl
| ~ sequential(sK6_skl(sK8_skl),sK7_skl(sK8_skl))
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(sK6_skl(sK8_skl),sK8_skl)
| ~ shortest_path(X0,X1,sK8_skl) ),
inference(resolution,[status(thm)],[f7830,f278]) ).
fof(f9158,plain,
( ~ sQ580_spl
| ~ sQ52_spl
| ~ sQ49_spl
| ~ sQ39_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f9137,f295,f505,f593,f615,f7829]) ).
fof(f9162,plain,
! [X0,X1,X2] :
( ~ sQ577_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl))) = sK6_skl(sK8_skl)
| ~ edge(sK6_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl))))
| sequential(sK7_skl(sK8_skl),sK6_skl(sK8_skl))
| ~ precedes(sK6_skl(sK8_skl),sK7_skl(sK8_skl),X2)
| ~ shortest_path(X0,X1,X2)
| head_of(sK7_skl(sK8_skl)) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(head_of(sK7_skl(sK8_skl))) ),
inference(paramodulation,[status(thm)],[f7821,f2242]) ).
fof(f9205,plain,
( ~ sQ577_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ583_spl
| ~ sQ64_spl
| ~ sQ582_spl
| sQ54_spl
| sQ580_spl
| sQ579_spl
| ~ sQ581_spl ),
inference(split_clause,[status(thm)],[f9162,f7832,f7826,f7829,f638,f7835,f781,f7838,f135,f139,f7820]) ).
fof(f9256,definition,
( sQ742_spl
<=> tail_of(sK6_skl(sK8_skl)) = tail_of(sK7_skl(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ742_spl])],[split_symbol_definition]) ).
fof(f9257,plain,
( ~ sQ742_spl
| tail_of(sK6_skl(sK8_skl)) = tail_of(sK7_skl(sK8_skl)) ),
inference(component_clause,[status(thm)],[f9256]) ).
fof(f9272,plain,
( sQ581_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7834,f603]) ).
fof(f9273,plain,
( sQ581_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f9272]) ).
fof(f9281,plain,
( ~ sQ1_spl
| sQ582_spl
| head_of(sK7_skl(sK8_skl)) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(sK6_skl(sK8_skl)))
| ~ vertex(head_of(sK7_skl(sK8_skl))) ),
inference(resolution,[status(thm)],[f7837,f136]) ).
fof(f9282,plain,
( ~ sQ1_spl
| sQ582_spl
| sQ579_spl
| ~ sQ578_spl
| ~ sQ581_spl ),
inference(split_clause,[status(thm)],[f9281,f7832,f7823,f7826,f7835,f135]) ).
fof(f9287,plain,
! [X0,X1,X2] :
( ~ sQ742_spl
| ~ sQ141_spl
| ~ sQ19_spl
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ sequential(X2,sK0_skl(X0,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f7800]) ).
fof(f9289,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ188_spl
| ~ sequential(X3,sK0_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X0),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X2,X1,tail_of(sK6_skl(sK8_skl))),X3)
| ~ on_path(sK1_skl(X2,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X2)
| X0 = head_of(sK7_skl(sK8_skl))
| ~ vertex(X0)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),X0)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK7_skl(sK8_skl),sK0_skl(head_of(sK7_skl(sK8_skl)),X0)) ),
inference(paramodulation,[status(thm)],[f9257,f2417]) ).
fof(f9292,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ shortest_path(X6,X7,sK2_skl(X2,X3,X4))
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| X5 = head_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(sK7_skl(sK8_skl)))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X5))
| X3 = head_of(sK1_skl(X2,X3,X4))
| ~ path(X4,X3,X2)
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X5))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X5),sK2_skl(X2,X3,X4))
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK2_skl(X2,X3,X4)) ),
inference(paramodulation,[status(thm)],[f9257,f1531]) ).
fof(f9293,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ742_spl
| ~ shortest_path(X8,X9,sK2_skl(X2,X3,X4))
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X5)
| ~ path(X6,X7,X5)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X5)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X5))
| X3 = head_of(sK1_skl(X2,X3,X4))
| ~ path(X4,X3,X2)
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK7_skl(sK8_skl)),X5))
| ~ on_path(sK3_skl(head_of(sK7_skl(sK8_skl)),X5),sK2_skl(X2,X3,X4))
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK2_skl(X2,X3,X4)) ),
inference(paramodulation,[status(thm)],[f9257,f1552]) ).
fof(f9294,plain,
! [X0,X1,X2] :
( ~ sQ742_spl
| ~ sQ189_spl
| ~ sequential(sK1_skl(X2,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X0),sK8_skl)
| ~ on_path(sK1_skl(X2,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X2)
| X0 = head_of(sK7_skl(sK8_skl))
| ~ vertex(X0)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),X0)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK7_skl(sK8_skl),sK0_skl(head_of(sK7_skl(sK8_skl)),X0)) ),
inference(paramodulation,[status(thm)],[f9257,f2421]) ).
fof(f9295,plain,
! [X0,X1] :
( ~ sQ742_spl
| ~ sQ243_spl
| ~ sQ19_spl
| ~ sequential(X1,sK0_skl(tail_of(sK6_skl(sK8_skl)),X0))
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| sK0_skl(tail_of(sK7_skl(sK8_skl)),X0) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0) ),
inference(paramodulation,[status(thm)],[f9257,f7608]) ).
fof(f9299,plain,
! [X0,X1,X2] :
( ~ sQ742_spl
| ~ sQ118_spl
| tail_of(sK7_skl(sK8_skl)) = X2
| ~ vertex(X2)
| X2 = tail_of(sK0_skl(X2,tail_of(sK7_skl(sK8_skl))))
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ sequential(X1,sK0_skl(X2,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK0_skl(X2,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f1466]) ).
fof(f9302,plain,
! [X0] :
( ~ sQ742_spl
| ~ sQ338_spl
| ~ sequential(sK7_skl(sK8_skl),sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(paramodulation,[status(thm)],[f9257,f4165]) ).
fof(f9303,plain,
! [X0] :
( ~ sQ742_spl
| ~ sQ316_spl
| ~ sequential(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f3858]) ).
fof(f9304,plain,
! [X0] :
( ~ sQ742_spl
| ~ sQ312_spl
| ~ sequential(X0,sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ on_path(X0,sK8_skl)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f3825]) ).
fof(f9305,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(X0) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| ~ vertex(tail_of(X0)) ),
inference(paramodulation,[status(thm)],[f9257,f1510]) ).
fof(f9306,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ precedes(X0,sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| ~ vertex(tail_of(sK7_skl(sK8_skl))) ),
inference(paramodulation,[status(thm)],[f9257,f1510]) ).
fof(f9307,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ14_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| X1 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),sK8_skl)
| ~ on_path(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1) ),
inference(paramodulation,[status(thm)],[f9257,f2313]) ).
fof(f9308,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ742_spl
| ~ sequential(sK1_skl(X4,X3,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK3_skl(head_of(sK7_skl(sK8_skl)),X0),path_cons(X7,X8))
| ~ on_path(sK1_skl(X4,X3,tail_of(sK7_skl(sK8_skl))),path_cons(X7,X8))
| ~ path(head_of(X7),X9,X8)
| ~ edge(X7)
| ~ shortest_path(X5,X6,path_cons(X7,X8))
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X4)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X0)
| ~ path(X1,X2,X0)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X0)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X0)) ),
inference(paramodulation,[status(thm)],[f9257,f1215]) ).
fof(f9309,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ742_spl
| ~ edge(X7)
| ~ sequential(sK1_skl(X4,X3,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK3_skl(head_of(sK7_skl(sK8_skl)),X0),path_cons(X7,empty))
| ~ on_path(sK1_skl(X4,X3,tail_of(sK7_skl(sK8_skl))),path_cons(X7,empty))
| ~ shortest_path(X5,X6,path_cons(X7,empty))
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X4)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X0)
| ~ path(X1,X2,X0)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X0)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X0)) ),
inference(paramodulation,[status(thm)],[f9257,f1214]) ).
fof(f9310,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ742_spl
| ~ sequential(sK1_skl(X4,X3,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK3_skl(head_of(sK7_skl(sK8_skl)),X0),sK5_skl(X7,X8,X9))
| ~ on_path(sK1_skl(X4,X3,tail_of(sK7_skl(sK8_skl))),sK5_skl(X7,X8,X9))
| X9 = X8
| ~ path(X9,X8,X7)
| shortest_path(X9,X8,X7)
| ~ shortest_path(X5,X6,sK5_skl(X7,X8,X9))
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X4)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X0)
| ~ path(X1,X2,X0)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X0)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X0)) ),
inference(paramodulation,[status(thm)],[f9257,f1213]) ).
fof(f9314,plain,
! [X0,X1,X2] :
( ~ sQ742_spl
| ~ sQ145_spl
| ~ sequential(X2,sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f1740]) ).
fof(f9315,plain,
! [X0,X1,X2] :
( ~ sQ742_spl
| ~ sQ145_spl
| ~ sequential(X2,sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X2)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f1740]) ).
fof(f9316,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ shortest_path(X6,X7,sK5_skl(X2,X1,X0))
| ~ path(tail_of(sK7_skl(sK8_skl)),X4,X3)
| X5 = head_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(sK7_skl(sK8_skl)))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X5))
| ~ sequential(sK1_skl(X3,X4,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X5))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X5),sK5_skl(X2,X1,X0))
| ~ on_path(sK1_skl(X3,X4,tail_of(sK7_skl(sK8_skl))),sK5_skl(X2,X1,X0))
| X0 = X1
| ~ path(X0,X1,X2)
| shortest_path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f1119]) ).
fof(f9317,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| sequential(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f4135]) ).
fof(f9318,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ742_spl
| ~ sQ2_spl
| X6 = head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f1072]) ).
fof(f9319,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)) = tail_of(X6)
| sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))) = X6
| ~ edge(X6)
| sequential(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))),X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f1071]) ).
fof(f9320,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| head_of(sK3_skl(tail_of(X3),X2)) = tail_of(sK7_skl(sK8_skl))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(sK3_skl(tail_of(X3),X2))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(sK3_skl(tail_of(X3),X2))),sK7_skl(sK8_skl))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK3_skl(tail_of(X3),X2))),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f1071]) ).
fof(f9321,plain,
! [X0,X1] :
( ~ sQ742_spl
| ~ sQ146_spl
| ~ sequential(sK7_skl(sK8_skl),sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f1738]) ).
fof(f9322,plain,
! [X0,X1] :
( ~ sQ742_spl
| ~ sQ146_spl
| ~ sequential(sK7_skl(sK8_skl),sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1),sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f1738]) ).
fof(f9323,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ742_spl
| vertex(head_of(sK1_skl(X6,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X7)))
| ~ path(X7,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK1_skl(X6,head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2)),X7),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f1064]) ).
fof(f9324,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK0_skl(X6,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK0_skl(X6,head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2))))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(X6,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f1070]) ).
fof(f9325,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK0_skl(X6,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)))
| sequential(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2),sK0_skl(X6,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(X6,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f1070]) ).
fof(f9326,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| X6 = head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| ~ vertex(X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK0_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK0_skl(head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2)),X6))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f1069]) ).
fof(f9327,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| X6 = head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| ~ vertex(X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK0_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| sequential(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2),sK0_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f1069]) ).
fof(f9328,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| sequential(X0,sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl)))
| ~ edge(X0) ),
inference(paramodulation,[status(thm)],[f9257,f2468]) ).
fof(f9329,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| sequential(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0)) ),
inference(paramodulation,[status(thm)],[f9257,f2242]) ).
fof(f9330,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ742_spl
| ~ in_path(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK3_skl(head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2)),X6))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f1068]) ).
fof(f9331,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ742_spl
| ~ in_path(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6))
| sequential(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2),sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f1068]) ).
fof(f9335,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ shortest_path(X6,X7,path_cons(X0,X2))
| ~ path(tail_of(sK7_skl(sK8_skl)),X4,X3)
| X5 = head_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(sK7_skl(sK8_skl)))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X5))
| ~ sequential(sK1_skl(X3,X4,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X5))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X5),path_cons(X0,X2))
| ~ on_path(sK1_skl(X3,X4,tail_of(sK7_skl(sK8_skl))),path_cons(X0,X2))
| ~ path(head_of(X0),X1,X2)
| ~ edge(X0) ),
inference(paramodulation,[status(thm)],[f9257,f1012]) ).
fof(f9336,plain,
! [X0,X1,X2] :
( ~ sQ742_spl
| ~ sQ342_spl
| ~ sequential(sK7_skl(sK8_skl),sK3_skl(tail_of(sK6_skl(sK8_skl)),X2))
| ~ on_path(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f4274]) ).
fof(f9338,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ shortest_path(X4,X5,path_cons(X2,empty))
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| X3 = head_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(sK7_skl(sK8_skl)))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X3))
| ~ edge(X2)
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X3))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X3),path_cons(X2,empty))
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),path_cons(X2,empty)) ),
inference(paramodulation,[status(thm)],[f9257,f987]) ).
fof(f9339,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ742_spl
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK3_skl(tail_of(sK6_skl(sK8_skl)),X2),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f1067]) ).
fof(f9340,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(paramodulation,[status(thm)],[f9257,f3129]) ).
fof(f9341,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| tail_of(sK7_skl(sK8_skl)) = head_of(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f4133]) ).
fof(f9342,plain,
! [X0] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))))
| sequential(sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))),sK7_skl(sK8_skl))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X0)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X0) ),
inference(paramodulation,[status(thm)],[f9257,f914]) ).
fof(f9343,plain,
! [X0] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)) = X0
| ~ edge(X0)
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)))
| sequential(sK0_skl(tail_of(sK6_skl(sK8_skl)),tail_of(X0)),X0)
| tail_of(X0) = tail_of(sK7_skl(sK8_skl))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)),sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f914]) ).
fof(f9344,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK1_skl(X2,X1,tail_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)))),X0,X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))),X1,X2)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f911]) ).
fof(f9345,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ120_spl
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X2)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ sequential(X1,sK1_skl(X2,X3,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK1_skl(X2,X3,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f1421]) ).
fof(f9346,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ114_spl
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X2)
| ~ sequential(sK1_skl(X2,X3,tail_of(sK6_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X2,X3,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f1397]) ).
fof(f9349,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK1_skl(X2,X1,tail_of(X0)),sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(X0),X1,X2)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f909]) ).
fof(f9350,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK1_skl(X2,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X2)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(head_of(sK7_skl(sK8_skl)))
| sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X0) ),
inference(paramodulation,[status(thm)],[f9257,f909]) ).
fof(f9352,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(X2,sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK1_skl(X0,X1,tail_of(X2)))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(X2),X1,X0)
| head_of(sK1_skl(X0,X1,tail_of(X2))) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(sK1_skl(X0,X1,tail_of(X2))))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(sK1_skl(X0,X1,tail_of(X2)))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(sK1_skl(X0,X1,tail_of(X2)))),sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f908]) ).
fof(f9353,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f912]) ).
fof(f9354,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(X0,sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f910]) ).
fof(f9355,plain,
! [X0,X1] :
( ~ sQ742_spl
| ~ sQ142_spl
| ~ sQ19_spl
| ~ sequential(X1,sK0_skl(X0,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f3789]) ).
fof(f9356,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ742_spl
| ~ sQ95_spl
| ~ sequential(X5,sK3_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK3_skl(head_of(sK7_skl(sK8_skl)),X0),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK1_skl(X4,X3,tail_of(sK6_skl(sK8_skl))),X5)
| ~ on_path(sK1_skl(X4,X3,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X4)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X0)
| ~ path(X1,X2,X0)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X0)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X0)) ),
inference(paramodulation,[status(thm)],[f9257,f1224]) ).
fof(f9357,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(sK6_skl(sK8_skl))))),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(sK7_skl(sK8_skl)) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X1 = tail_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl))))
| head_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl)))) = tail_of(X0)
| ~ vertex(head_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl)))))
| sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl))))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl))))),X0) ),
inference(paramodulation,[status(thm)],[f9257,f907]) ).
fof(f9358,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(X1,sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK0_skl(X0,tail_of(X1)))),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1)))
| head_of(sK0_skl(X0,tail_of(X1))) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(sK0_skl(X0,tail_of(X1))))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(sK0_skl(X0,tail_of(X1)))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(sK0_skl(X0,tail_of(X1)))),sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f907]) ).
fof(f9359,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(sK7_skl(sK8_skl),sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ in_path(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)
| ~ path(X2,X3,X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)
| ~ edge(sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| sequential(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK3_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1)) ),
inference(paramodulation,[status(thm)],[f9257,f744]) ).
fof(f9360,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(sK7_skl(sK8_skl),sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ in_path(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)
| ~ path(X2,X3,X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)
| ~ edge(sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| sequential(sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)) ),
inference(paramodulation,[status(thm)],[f9257,f744]) ).
fof(f9361,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(sK1_skl(X2,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(X0,head_of(sK7_skl(sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X2)
| head_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK7_skl(sK8_skl) = sK0_skl(X0,head_of(sK7_skl(sK8_skl)))
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK7_skl(sK8_skl),sK0_skl(X0,head_of(sK7_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f723]) ).
fof(f9364,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0) ),
inference(paramodulation,[status(thm)],[f9257,f3307]) ).
fof(f9365,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0))) ),
inference(paramodulation,[status(thm)],[f9257,f3130]) ).
fof(f9366,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(X1,head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) = X1
| ~ vertex(X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK0_skl(X1,head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| sequential(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK0_skl(X1,head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))))) ),
inference(paramodulation,[status(thm)],[f9257,f728]) ).
fof(f9367,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(X1,head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) = X1
| ~ vertex(X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK0_skl(X1,head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| sequential(sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),sK0_skl(X1,head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))) ),
inference(paramodulation,[status(thm)],[f9257,f728]) ).
fof(f9368,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0))) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(paramodulation,[status(thm)],[f9257,f718]) ).
fof(f9369,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),X4,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(paramodulation,[status(thm)],[f9257,f716]) ).
fof(f9370,plain,
! [X0] :
( ~ sQ742_spl
| ~ sQ244_spl
| ~ sequential(sK7_skl(sK8_skl),sK0_skl(tail_of(sK6_skl(sK8_skl)),X0))
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| sK0_skl(tail_of(sK7_skl(sK8_skl)),X0) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0) ),
inference(paramodulation,[status(thm)],[f9257,f2814]) ).
fof(f9371,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ2_spl
| sK0_skl(tail_of(sK7_skl(sK8_skl)),X0) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(tail_of(sK6_skl(sK8_skl)),X0),X3)
| ~ shortest_path(X1,X2,X3)
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0) ),
inference(paramodulation,[status(thm)],[f9257,f2234]) ).
fof(f9372,plain,
! [X0,X1] :
( ~ sQ742_spl
| ~ sQ87_spl
| ~ sequential(X1,sK0_skl(X0,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f1060]) ).
fof(f9373,plain,
! [X0,X1] :
( ~ sQ742_spl
| ~ sQ87_spl
| ~ sequential(X1,sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f1060]) ).
fof(f9375,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ precedes(sK7_skl(sK8_skl),sK1_skl(X2,head_of(sK0_skl(X1,tail_of(sK6_skl(sK8_skl)))),X0),X5)
| ~ shortest_path(X3,X4,X5)
| tail_of(sK7_skl(sK8_skl)) = X1
| ~ vertex(X1)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X1 = tail_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl))))
| vertex(head_of(sK1_skl(X2,head_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl)))),X0)))
| ~ path(X0,head_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl)))),X2) ),
inference(paramodulation,[status(thm)],[f9257,f684]) ).
fof(f9377,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl)))
| ~ edge(X0) ),
inference(paramodulation,[status(thm)],[f9257,f2466]) ).
fof(f9378,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ25_spl
| ~ path(tail_of(sK7_skl(sK8_skl)),X2,X1)
| X3 = head_of(sK1_skl(X1,X2,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(sK1_skl(X1,X2,tail_of(sK7_skl(sK8_skl)))),X3))
| ~ sequential(X0,sK0_skl(head_of(sK1_skl(X1,X2,tail_of(sK6_skl(sK8_skl)))),X3))
| ~ on_path(sK0_skl(head_of(sK1_skl(X1,X2,tail_of(sK7_skl(sK8_skl)))),X3),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f418]) ).
fof(f9379,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK1_skl(X2,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X0),X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X2)
| X0 = head_of(sK7_skl(sK8_skl))
| ~ vertex(X0)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),X0)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK7_skl(sK8_skl),sK0_skl(head_of(sK7_skl(sK8_skl)),X0)) ),
inference(paramodulation,[status(thm)],[f9257,f666]) ).
fof(f9382,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)
| sequential(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1)) ),
inference(paramodulation,[status(thm)],[f9257,f672]) ).
fof(f9383,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)
| sequential(sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)) ),
inference(paramodulation,[status(thm)],[f9257,f672]) ).
fof(f9384,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ2_spl
| sK0_skl(tail_of(sK7_skl(sK8_skl)),X0) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),sK7_skl(sK8_skl))
| head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),X0)) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0) ),
inference(paramodulation,[status(thm)],[f9257,f591]) ).
fof(f9385,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sP0_prd(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),tail_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0))) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| ~ vertex(head_of(X0)) ),
inference(paramodulation,[status(thm)],[f9257,f590]) ).
fof(f9386,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ2_spl
| sK0_skl(tail_of(sK6_skl(sK8_skl)),X0) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),sK7_skl(sK8_skl))
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),X4,X3)
| ~ shortest_path(X1,X2,X3)
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0) ),
inference(paramodulation,[status(thm)],[f9257,f587]) ).
fof(f9387,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sP0_prd(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),tail_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),X4,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| ~ vertex(head_of(X0)) ),
inference(paramodulation,[status(thm)],[f9257,f586]) ).
fof(f9388,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ3_spl
| tail_of(sK7_skl(sK8_skl)) = head_of(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| head_of(X0) = tail_of(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f492]) ).
fof(f9389,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ23_spl
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| X3 = head_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(sK7_skl(sK8_skl)))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X3))
| ~ sequential(X2,sK0_skl(head_of(sK7_skl(sK8_skl)),X3))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X3),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f410]) ).
fof(f9390,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ3_spl
| X4 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X4))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X4),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f489]) ).
fof(f9391,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(sK6_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f1715]) ).
fof(f9392,plain,
! [X0] :
( ~ sQ742_spl
| ~ sQ143_spl
| ~ sequential(sK7_skl(sK8_skl),sK0_skl(X0,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f1708]) ).
fof(f9393,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f1648]) ).
fof(f9394,plain,
! [X0,X1,X2] :
( ~ sQ742_spl
| ~ sQ27_spl
| ~ path(tail_of(sK7_skl(sK8_skl)),X2,X1)
| ~ sequential(X0,sK1_skl(X1,X2,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK1_skl(X1,X2,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f426]) ).
fof(f9395,plain,
! [X0,X1,X2] :
( ~ sQ742_spl
| ~ sQ24_spl
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| ~ sequential(X2,sK7_skl(sK8_skl))
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f414]) ).
fof(f9396,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f1639]) ).
fof(f9397,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl)))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f1638]) ).
fof(f9398,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ742_spl
| ~ sQ3_spl
| head_of(sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl)))) != head_of(X8)
| ~ precedes(X0,X8,X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| ~ vertex(tail_of(sK7_skl(sK8_skl))) ),
inference(paramodulation,[status(thm)],[f9257,f214]) ).
fof(f9399,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ742_spl
| ~ sQ3_spl
| head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),tail_of(X0))) != head_of(X8)
| ~ precedes(sK7_skl(sK8_skl),X8,X7)
| ~ shortest_path(X5,X6,X7)
| head_of(X0) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| ~ vertex(tail_of(X0)) ),
inference(paramodulation,[status(thm)],[f9257,f214]) ).
fof(f9400,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ742_spl
| ~ sQ3_spl
| head_of(sK7_skl(sK8_skl)) != head_of(X8)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)),X8,X7)
| ~ shortest_path(X5,X6,X7)
| head_of(X0) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| ~ vertex(tail_of(X0)) ),
inference(paramodulation,[status(thm)],[f9257,f212]) ).
fof(f9401,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ742_spl
| ~ sQ3_spl
| head_of(X0) != head_of(X8)
| ~ precedes(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X8,X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0))
| ~ vertex(tail_of(sK7_skl(sK8_skl))) ),
inference(paramodulation,[status(thm)],[f9257,f212]) ).
fof(f9402,plain,
! [X0] :
( ~ sQ742_spl
| ~ sQ88_spl
| ~ sequential(sK7_skl(sK8_skl),sK0_skl(X0,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f1059]) ).
fof(f9403,plain,
! [X0] :
( ~ sQ742_spl
| ~ sQ88_spl
| ~ sequential(sK7_skl(sK8_skl),sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f1059]) ).
fof(f9404,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ96_spl
| ~ sequential(sK1_skl(X4,X3,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK3_skl(head_of(sK7_skl(sK8_skl)),X0),sK8_skl)
| ~ on_path(sK1_skl(X4,X3,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X4)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X0)
| ~ path(X1,X2,X0)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X0)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X0)) ),
inference(paramodulation,[status(thm)],[f9257,f1225]) ).
fof(f9406,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ742_spl
| ~ precedes(sK1_skl(X4,X3,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK7_skl(sK8_skl)),X0),X7)
| ~ shortest_path(X5,X6,X7)
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X4)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X0)
| ~ path(X1,X2,X0)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X0)
| ~ edge(sK3_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X0)) ),
inference(paramodulation,[status(thm)],[f9257,f740]) ).
fof(f9410,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ742_spl
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2)) != head_of(X6)
| ~ precedes(sK7_skl(sK8_skl),X6,X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f345]) ).
fof(f9411,plain,
! [X0,X1,X2,X3] :
( ~ sQ742_spl
| ~ sQ3_spl
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f491]) ).
fof(f9412,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ742_spl
| sK3_skl(tail_of(sK6_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| head_of(sK7_skl(sK8_skl)) != head_of(X6)
| ~ precedes(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),X6,X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f9257,f344]) ).
fof(f9413,plain,
! [X0] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0)
| X0 = head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),X0))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),X0) = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f906]) ).
fof(f9417,plain,
! [X0] :
( ~ sQ742_spl
| ~ sQ4_spl
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl))
| ~ sP0_prd(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),tail_of(sK6_skl(sK8_skl)),head_of(X0))
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| ~ vertex(head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(paramodulation,[status(thm)],[f9257,f210]) ).
fof(f9418,plain,
! [X0] :
( ~ sQ742_spl
| ~ sQ4_spl
| ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl))
| ~ sP0_prd(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),tail_of(sK7_skl(sK8_skl)),head_of(X0))
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| ~ vertex(head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))) ),
inference(paramodulation,[status(thm)],[f9257,f210]) ).
fof(f9419,plain,
! [X0,X1,X2] :
( ~ sQ742_spl
| ~ sQ13_spl
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| X2 = head_of(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X2)
| X2 = head_of(sK0_skl(head_of(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl)))),X2))
| ~ sequential(sK7_skl(sK8_skl),sK0_skl(head_of(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl)))),X2))
| ~ on_path(sK0_skl(head_of(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl)))),X2),sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f308]) ).
fof(f9420,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ2_spl
| head_of(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0)) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),X0))
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| ~ vertex(X0) ),
inference(paramodulation,[status(thm)],[f9257,f208]) ).
fof(f9421,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ2_spl
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),X0))
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| ~ vertex(X0) ),
inference(paramodulation,[status(thm)],[f9257,f206]) ).
fof(f9422,plain,
! [X0,X1,X2] :
( ~ sQ742_spl
| ~ sQ11_spl
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| X2 = head_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(sK7_skl(sK8_skl)))
| ~ vertex(X2)
| X2 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X2))
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X2))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X2),sK8_skl)
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f300]) ).
fof(f9423,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f203]) ).
fof(f9424,plain,
! [X0,X1] :
( ~ sQ742_spl
| ~ sQ15_spl
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| ~ sequential(sK7_skl(sK8_skl),sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f316]) ).
fof(f9425,plain,
! [X0,X1] :
( ~ sQ742_spl
| ~ path(head_of(sK7_skl(sK8_skl)),X0,X1)
| ~ edge(sK7_skl(sK8_skl))
| path(tail_of(sK6_skl(sK8_skl)),X0,path_cons(sK7_skl(sK8_skl),X1)) ),
inference(paramodulation,[status(thm)],[f9257,f169]) ).
fof(f9428,plain,
! [X0,X1] :
( ~ sQ742_spl
| ~ sQ12_spl
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),sK7_skl(sK8_skl))
| ~ on_path(sK7_skl(sK8_skl),sK8_skl)
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f304]) ).
fof(f9429,plain,
! [X0] :
( ~ sQ742_spl
| head_of(X0) != tail_of(sK6_skl(sK8_skl))
| X0 = sK7_skl(sK8_skl)
| ~ edge(sK7_skl(sK8_skl))
| ~ edge(X0)
| sequential(X0,sK7_skl(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f9257,f66]) ).
fof(f9430,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ742_spl
| ~ sQ2_spl
| ~ precedes(sK1_skl(X2,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X0),X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X2)
| X0 = head_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(sK7_skl(sK8_skl)))
| ~ vertex(X0)
| X0 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X0)) ),
inference(paramodulation,[status(thm)],[f9257,f185]) ).
fof(f9432,plain,
( ~ sQ742_spl
| in_path(tail_of(sK6_skl(sK8_skl)),sK8_skl)
| ~ on_path(sK7_skl(sK8_skl),sK8_skl) ),
inference(paramodulation,[status(thm)],[f9257,f227]) ).
fof(f9433,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| tail_of(sK7_skl(sK8_skl)) = head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f182]) ).
fof(f9434,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| tail_of(sK7_skl(sK8_skl)) = head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f180]) ).
fof(f9435,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ742_spl
| ~ sQ3_spl
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(sK7_skl(sK8_skl)))
| X0 = tail_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))) ),
inference(paramodulation,[status(thm)],[f9257,f201]) ).
fof(f9441,plain,
( ~ sQ742_spl
| ~ edge(sK7_skl(sK8_skl))
| ~ vertex(head_of(sK7_skl(sK8_skl)))
| path(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl)),path_cons(sK7_skl(sK8_skl),empty)) ),
inference(paramodulation,[status(thm)],[f9257,f163]) ).
fof(f9446,definition,
! [X0,X1,X2] :
( sQ744_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),X1)
| ~ sequential(X2,sK0_skl(X0,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(X1,X2)
| ~ on_path(X1,sK8_skl)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ744_spl])],[split_symbol_definition]) ).
fof(f9449,plain,
( ~ sQ742_spl
| ~ sQ141_spl
| ~ sQ19_spl
| ~ sQ49_spl
| sQ744_spl ),
inference(split_clause,[status(thm)],[f9287,f9446,f593,f368,f1693,f9256]) ).
fof(f9452,definition,
! [X0,X1,X2,X3] :
( sQ745_spl
<=> ( ~ sequential(X3,sK0_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X0),sK8_skl)
| ~ on_path(X3,sK8_skl)
| ~ sequential(sK1_skl(X2,X1,tail_of(sK6_skl(sK8_skl))),X3)
| ~ on_path(sK1_skl(X2,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X2)
| X0 = head_of(sK7_skl(sK8_skl))
| ~ vertex(X0)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),X0)
| sequential(sK7_skl(sK8_skl),sK0_skl(head_of(sK7_skl(sK8_skl)),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ745_spl])],[split_symbol_definition]) ).
fof(f9455,plain,
( ~ sQ742_spl
| ~ sQ188_spl
| ~ sQ59_spl
| sQ745_spl ),
inference(split_clause,[status(thm)],[f9289,f9452,f762,f2416,f9256]) ).
fof(f9463,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ746_spl
<=> ( ~ shortest_path(X6,X7,sK2_skl(X2,X3,X4))
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| X5 = head_of(sK7_skl(sK8_skl))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X5))
| X3 = head_of(sK1_skl(X2,X3,X4))
| ~ path(X4,X3,X2)
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X5))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X5),sK2_skl(X2,X3,X4))
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK2_skl(X2,X3,X4)) ) ),
introduced(definition,[new_symbols(definition,[sQ746_spl])],[split_symbol_definition]) ).
fof(f9466,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ581_spl
| sQ746_spl ),
inference(split_clause,[status(thm)],[f9292,f9463,f7832,f139,f9256]) ).
fof(f9467,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ747_spl
<=> ( ~ shortest_path(X8,X9,sK2_skl(X2,X3,X4))
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X5)
| ~ path(X6,X7,X5)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X5)
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X5))
| X3 = head_of(sK1_skl(X2,X3,X4))
| ~ path(X4,X3,X2)
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK7_skl(sK8_skl)),X5))
| ~ on_path(sK3_skl(head_of(sK7_skl(sK8_skl)),X5),sK2_skl(X2,X3,X4))
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK2_skl(X2,X3,X4)) ) ),
introduced(definition,[new_symbols(definition,[sQ747_spl])],[split_symbol_definition]) ).
fof(f9470,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| sQ747_spl ),
inference(split_clause,[status(thm)],[f9293,f9467,f762,f9256]) ).
fof(f9471,definition,
! [X0,X1,X2] :
( sQ748_spl
<=> ( ~ sequential(sK1_skl(X2,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X0),sK8_skl)
| ~ on_path(sK1_skl(X2,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X2)
| X0 = head_of(sK7_skl(sK8_skl))
| ~ vertex(X0)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),X0)
| sequential(sK7_skl(sK8_skl),sK0_skl(head_of(sK7_skl(sK8_skl)),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ748_spl])],[split_symbol_definition]) ).
fof(f9474,plain,
( ~ sQ742_spl
| ~ sQ189_spl
| ~ sQ59_spl
| sQ748_spl ),
inference(split_clause,[status(thm)],[f9294,f9471,f762,f2420,f9256]) ).
fof(f9475,definition,
! [X0,X1] :
( sQ749_spl
<=> ( ~ sequential(X1,sK0_skl(tail_of(sK6_skl(sK8_skl)),X0))
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| sK0_skl(tail_of(sK7_skl(sK8_skl)),X0) = sK7_skl(sK8_skl)
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ749_spl])],[split_symbol_definition]) ).
fof(f9478,plain,
( ~ sQ742_spl
| ~ sQ243_spl
| ~ sQ19_spl
| ~ sQ49_spl
| ~ sQ59_spl
| sQ749_spl ),
inference(split_clause,[status(thm)],[f9295,f9475,f762,f593,f368,f2802,f9256]) ).
fof(f9485,definition,
( sQ752_spl
<=> vertex(tail_of(sK7_skl(sK8_skl))) ),
introduced(definition,[new_symbols(definition,[sQ752_spl])],[split_symbol_definition]) ).
fof(f9487,plain,
( sQ752_spl
| ~ vertex(tail_of(sK7_skl(sK8_skl))) ),
inference(component_clause,[status(thm)],[f9485]) ).
fof(f9503,definition,
! [X0,X1,X2] :
( sQ757_spl
<=> ( tail_of(sK7_skl(sK8_skl)) = X2
| ~ vertex(X2)
| X2 = tail_of(sK0_skl(X2,tail_of(sK7_skl(sK8_skl))))
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ sequential(X1,sK0_skl(X2,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK0_skl(X2,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ757_spl])],[split_symbol_definition]) ).
fof(f9506,plain,
( ~ sQ742_spl
| ~ sQ118_spl
| ~ sQ49_spl
| sQ757_spl ),
inference(split_clause,[status(thm)],[f9299,f9503,f593,f1412,f9256]) ).
fof(f9517,definition,
! [X0] :
( sQ758_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ758_spl])],[split_symbol_definition]) ).
fof(f9520,plain,
( ~ sQ742_spl
| ~ sQ338_spl
| ~ sQ49_spl
| sQ758_spl ),
inference(split_clause,[status(thm)],[f9302,f9517,f593,f4161,f9256]) ).
fof(f9521,definition,
! [X0] :
( sQ759_spl
<=> ( ~ sequential(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),X0)
| ~ on_path(X0,sK8_skl)
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ759_spl])],[split_symbol_definition]) ).
fof(f9524,plain,
( ~ sQ742_spl
| ~ sQ316_spl
| ~ sQ59_spl
| sQ759_spl ),
inference(split_clause,[status(thm)],[f9303,f9521,f762,f3854,f9256]) ).
fof(f9525,definition,
! [X0] :
( sQ760_spl
<=> ( ~ sequential(X0,sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)))
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK8_skl)
| ~ on_path(X0,sK8_skl)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ760_spl])],[split_symbol_definition]) ).
fof(f9528,plain,
( ~ sQ742_spl
| ~ sQ312_spl
| ~ sQ59_spl
| sQ760_spl ),
inference(split_clause,[status(thm)],[f9304,f9525,f762,f3821,f9256]) ).
fof(f9529,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ761_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(X0) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ761_spl])],[split_symbol_definition]) ).
fof(f9532,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ752_spl
| sQ761_spl ),
inference(split_clause,[status(thm)],[f9305,f9529,f9485,f143,f9256]) ).
fof(f9533,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ762_spl
<=> ( ~ precedes(X0,sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ762_spl])],[split_symbol_definition]) ).
fof(f9536,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| sQ762_spl
| ~ sQ752_spl ),
inference(split_clause,[status(thm)],[f9306,f9485,f9533,f143,f9256]) ).
fof(f9537,definition,
! [X0,X1,X2,X3,X4] :
( sQ763_spl
<=> ( X1 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),sK8_skl)
| ~ on_path(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ763_spl])],[split_symbol_definition]) ).
fof(f9540,plain,
( ~ sQ742_spl
| ~ sQ14_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ763_spl ),
inference(split_clause,[status(thm)],[f9307,f9537,f9485,f135,f139,f143,f311,f9256]) ).
fof(f9541,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ764_spl
<=> ( ~ sequential(sK1_skl(X4,X3,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK3_skl(head_of(sK7_skl(sK8_skl)),X0),path_cons(X7,X8))
| ~ on_path(sK1_skl(X4,X3,tail_of(sK7_skl(sK8_skl))),path_cons(X7,X8))
| ~ path(head_of(X7),X9,X8)
| ~ edge(X7)
| ~ shortest_path(X5,X6,path_cons(X7,X8))
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X4)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X0)
| ~ path(X1,X2,X0)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X0)
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ764_spl])],[split_symbol_definition]) ).
fof(f9544,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| sQ764_spl ),
inference(split_clause,[status(thm)],[f9308,f9541,f762,f9256]) ).
fof(f9545,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ765_spl
<=> ( ~ edge(X7)
| ~ sequential(sK1_skl(X4,X3,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK3_skl(head_of(sK7_skl(sK8_skl)),X0),path_cons(X7,empty))
| ~ on_path(sK1_skl(X4,X3,tail_of(sK7_skl(sK8_skl))),path_cons(X7,empty))
| ~ shortest_path(X5,X6,path_cons(X7,empty))
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X4)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X0)
| ~ path(X1,X2,X0)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X0)
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ765_spl])],[split_symbol_definition]) ).
fof(f9548,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| sQ765_spl ),
inference(split_clause,[status(thm)],[f9309,f9545,f762,f9256]) ).
fof(f9549,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( sQ766_spl
<=> ( ~ sequential(sK1_skl(X4,X3,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK3_skl(head_of(sK7_skl(sK8_skl)),X0),sK5_skl(X7,X8,X9))
| ~ on_path(sK1_skl(X4,X3,tail_of(sK7_skl(sK8_skl))),sK5_skl(X7,X8,X9))
| X9 = X8
| ~ path(X9,X8,X7)
| shortest_path(X9,X8,X7)
| ~ shortest_path(X5,X6,sK5_skl(X7,X8,X9))
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X4)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X0)
| ~ path(X1,X2,X0)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X0)
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ766_spl])],[split_symbol_definition]) ).
fof(f9552,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| sQ766_spl ),
inference(split_clause,[status(thm)],[f9310,f9549,f762,f9256]) ).
fof(f9562,definition,
! [X0,X1,X2] :
( sQ767_spl
<=> ( ~ sequential(X2,sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X2)
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ767_spl])],[split_symbol_definition]) ).
fof(f9565,plain,
( ~ sQ742_spl
| ~ sQ145_spl
| ~ sQ49_spl
| sQ767_spl ),
inference(split_clause,[status(thm)],[f9314,f9562,f593,f1730,f9256]) ).
fof(f9566,definition,
! [X0,X1,X2] :
( sQ768_spl
<=> ( ~ sequential(X2,sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X2)
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ768_spl])],[split_symbol_definition]) ).
fof(f9569,plain,
( ~ sQ742_spl
| ~ sQ145_spl
| ~ sQ49_spl
| sQ768_spl ),
inference(split_clause,[status(thm)],[f9315,f9566,f593,f1730,f9256]) ).
fof(f9570,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ769_spl
<=> ( ~ shortest_path(X6,X7,sK5_skl(X2,X1,X0))
| ~ path(tail_of(sK7_skl(sK8_skl)),X4,X3)
| X5 = head_of(sK7_skl(sK8_skl))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X5))
| ~ sequential(sK1_skl(X3,X4,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X5))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X5),sK5_skl(X2,X1,X0))
| ~ on_path(sK1_skl(X3,X4,tail_of(sK7_skl(sK8_skl))),sK5_skl(X2,X1,X0))
| X0 = X1
| ~ path(X0,X1,X2)
| shortest_path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ769_spl])],[split_symbol_definition]) ).
fof(f9573,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ581_spl
| sQ769_spl ),
inference(split_clause,[status(thm)],[f9316,f9570,f7832,f139,f9256]) ).
fof(f9574,definition,
! [X0,X1,X2,X3] :
( sQ770_spl
<=> ( ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| sequential(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ770_spl])],[split_symbol_definition]) ).
fof(f9577,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ770_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f9317,f762,f9574,f135,f143,f139,f9256]) ).
fof(f9578,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ771_spl
<=> ( X6 = head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| ~ vertex(X6)
| X6 = head_of(sK0_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ771_spl])],[split_symbol_definition]) ).
fof(f9581,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ59_spl
| sQ771_spl ),
inference(split_clause,[status(thm)],[f9318,f9578,f762,f139,f9256]) ).
fof(f9582,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ772_spl
<=> ( head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)) = tail_of(X6)
| sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))) = X6
| ~ edge(X6)
| sequential(sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))),X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(tail_of(X6),head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ772_spl])],[split_symbol_definition]) ).
fof(f9585,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ772_spl ),
inference(split_clause,[status(thm)],[f9319,f9582,f762,f135,f139,f9256]) ).
fof(f9586,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ773_spl
<=> ( head_of(sK3_skl(tail_of(X3),X2)) = tail_of(sK7_skl(sK8_skl))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(sK3_skl(tail_of(X3),X2))) = sK7_skl(sK8_skl)
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(sK3_skl(tail_of(X3),X2))),sK7_skl(sK8_skl))
| sK3_skl(tail_of(X3),X2) = X3
| ~ edge(X3)
| ~ edge(sK3_skl(tail_of(X3),X2))
| sequential(sK3_skl(tail_of(X3),X2),X3)
| ~ precedes(X3,sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK3_skl(tail_of(X3),X2))),X6)
| ~ shortest_path(X4,X5,X6)
| ~ in_path(tail_of(X3),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ773_spl])],[split_symbol_definition]) ).
fof(f9589,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ773_spl ),
inference(split_clause,[status(thm)],[f9320,f9586,f762,f135,f139,f9256]) ).
fof(f9590,definition,
! [X0,X1] :
( sQ774_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),sK8_skl)
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ774_spl])],[split_symbol_definition]) ).
fof(f9593,plain,
( ~ sQ742_spl
| ~ sQ146_spl
| ~ sQ49_spl
| sQ774_spl ),
inference(split_clause,[status(thm)],[f9321,f9590,f593,f1734,f9256]) ).
fof(f9594,definition,
! [X0,X1] :
( sQ775_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| ~ on_path(sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1),sK8_skl)
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X1)
| X1 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ775_spl])],[split_symbol_definition]) ).
fof(f9597,plain,
( ~ sQ742_spl
| ~ sQ146_spl
| ~ sQ49_spl
| sQ775_spl ),
inference(split_clause,[status(thm)],[f9322,f9594,f593,f1734,f9256]) ).
fof(f9598,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ776_spl
<=> ( vertex(head_of(sK1_skl(X6,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X7)))
| ~ path(X7,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK1_skl(X6,head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2)),X7),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ776_spl])],[split_symbol_definition]) ).
fof(f9601,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| sQ776_spl ),
inference(split_clause,[status(thm)],[f9323,f9598,f762,f9256]) ).
fof(f9602,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ777_spl
<=> ( head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK0_skl(X6,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK0_skl(X6,head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2))))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(X6,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ777_spl])],[split_symbol_definition]) ).
fof(f9605,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ777_spl ),
inference(split_clause,[status(thm)],[f9324,f9602,f762,f135,f143,f9256]) ).
fof(f9606,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ778_spl
<=> ( head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)) = X6
| ~ vertex(X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK0_skl(X6,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)))
| sequential(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2),sK0_skl(X6,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(X6,head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ778_spl])],[split_symbol_definition]) ).
fof(f9609,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ778_spl ),
inference(split_clause,[status(thm)],[f9325,f9606,f762,f135,f143,f9256]) ).
fof(f9610,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ779_spl
<=> ( X6 = head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| ~ vertex(X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK0_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK0_skl(head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2)),X6))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ779_spl])],[split_symbol_definition]) ).
fof(f9613,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ779_spl ),
inference(split_clause,[status(thm)],[f9326,f9610,f762,f135,f139,f9256]) ).
fof(f9614,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ780_spl
<=> ( X6 = head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| ~ vertex(X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK0_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| sequential(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2),sK0_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ780_spl])],[split_symbol_definition]) ).
fof(f9617,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ780_spl ),
inference(split_clause,[status(thm)],[f9327,f9614,f762,f135,f139,f9256]) ).
fof(f9618,definition,
! [X0,X1,X2,X3] :
( sQ781_spl
<=> ( ~ edge(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| sequential(X0,sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| X0 = sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl)))
| ~ edge(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ781_spl])],[split_symbol_definition]) ).
fof(f9621,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ781_spl ),
inference(split_clause,[status(thm)],[f9328,f9618,f9485,f135,f139,f143,f9256]) ).
fof(f9622,definition,
! [X0,X1,X2,X3] :
( sQ782_spl
<=> ( sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| sequential(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ782_spl])],[split_symbol_definition]) ).
fof(f9625,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ782_spl ),
inference(split_clause,[status(thm)],[f9329,f9622,f762,f135,f139,f9256]) ).
fof(f9626,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sQ783_spl
<=> ( ~ in_path(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK3_skl(head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2)),X6))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ783_spl])],[split_symbol_definition]) ).
fof(f9629,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| sQ783_spl ),
inference(split_clause,[status(thm)],[f9330,f9626,f762,f9256]) ).
fof(f9630,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sQ784_spl
<=> ( ~ in_path(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| ~ path(X7,X8,X6)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6)
| ~ edge(sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6))
| sequential(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2),sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6))
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK3_skl(head_of(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2)),X6),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ784_spl])],[split_symbol_definition]) ).
fof(f9633,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| sQ784_spl ),
inference(split_clause,[status(thm)],[f9331,f9630,f762,f9256]) ).
fof(f9643,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ785_spl
<=> ( ~ shortest_path(X6,X7,path_cons(X0,X2))
| ~ path(tail_of(sK7_skl(sK8_skl)),X4,X3)
| X5 = head_of(sK7_skl(sK8_skl))
| ~ vertex(X5)
| X5 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X5))
| ~ sequential(sK1_skl(X3,X4,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X5))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X5),path_cons(X0,X2))
| ~ on_path(sK1_skl(X3,X4,tail_of(sK7_skl(sK8_skl))),path_cons(X0,X2))
| ~ path(head_of(X0),X1,X2)
| ~ edge(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ785_spl])],[split_symbol_definition]) ).
fof(f9646,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ581_spl
| sQ785_spl ),
inference(split_clause,[status(thm)],[f9335,f9643,f7832,f139,f9256]) ).
fof(f9647,definition,
! [X0,X1,X2] :
( sQ786_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),sK3_skl(tail_of(sK6_skl(sK8_skl)),X2))
| ~ on_path(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK8_skl)
| sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ786_spl])],[split_symbol_definition]) ).
fof(f9650,plain,
( ~ sQ742_spl
| ~ sQ342_spl
| ~ sQ49_spl
| ~ sQ59_spl
| sQ786_spl ),
inference(split_clause,[status(thm)],[f9336,f9647,f762,f593,f4195,f9256]) ).
fof(f9656,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ787_spl
<=> ( ~ shortest_path(X4,X5,path_cons(X2,empty))
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| X3 = head_of(sK7_skl(sK8_skl))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X3))
| ~ edge(X2)
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X3))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X3),path_cons(X2,empty))
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),path_cons(X2,empty)) ) ),
introduced(definition,[new_symbols(definition,[sQ787_spl])],[split_symbol_definition]) ).
fof(f9659,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ581_spl
| sQ787_spl ),
inference(split_clause,[status(thm)],[f9338,f9656,f7832,f139,f9256]) ).
fof(f9660,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ788_spl
<=> ( sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK3_skl(tail_of(sK6_skl(sK8_skl)),X2),X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ788_spl])],[split_symbol_definition]) ).
fof(f9663,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| sQ788_spl ),
inference(split_clause,[status(thm)],[f9339,f9660,f762,f9256]) ).
fof(f9664,definition,
! [X0,X1,X2,X3] :
( sQ789_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ789_spl])],[split_symbol_definition]) ).
fof(f9667,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ789_spl ),
inference(split_clause,[status(thm)],[f9340,f9664,f9485,f135,f143,f9256]) ).
fof(f9668,definition,
! [X0,X1,X2,X3] :
( sQ790_spl
<=> ( tail_of(sK7_skl(sK8_skl)) = head_of(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ790_spl])],[split_symbol_definition]) ).
fof(f9671,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sQ790_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f9341,f762,f9668,f135,f143,f139,f9256]) ).
fof(f9672,definition,
! [X0] :
( sQ791_spl
<=> ( sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))))
| sequential(sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl))),sK7_skl(sK8_skl))
| tail_of(sK7_skl(sK8_skl)) = tail_of(X0)
| sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ791_spl])],[split_symbol_definition]) ).
fof(f9675,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ791_spl ),
inference(split_clause,[status(thm)],[f9342,f9672,f762,f135,f139,f9256]) ).
fof(f9676,definition,
! [X0] :
( sQ792_spl
<=> ( sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)) = X0
| ~ edge(X0)
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)))
| sequential(sK0_skl(tail_of(sK6_skl(sK8_skl)),tail_of(X0)),X0)
| tail_of(X0) = tail_of(sK7_skl(sK8_skl))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)) = sK7_skl(sK8_skl)
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)),sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ792_spl])],[split_symbol_definition]) ).
fof(f9679,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ792_spl ),
inference(split_clause,[status(thm)],[f9343,f9676,f762,f135,f139,f9256]) ).
fof(f9680,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ793_spl
<=> ( ~ precedes(sK1_skl(X2,X1,tail_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)))),X0,X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))),X1,X2)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ793_spl])],[split_symbol_definition]) ).
fof(f9683,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ793_spl ),
inference(split_clause,[status(thm)],[f9344,f9680,f762,f135,f139,f9256]) ).
fof(f9684,definition,
! [X0,X1,X2,X3] :
( sQ794_spl
<=> ( ~ path(tail_of(sK7_skl(sK8_skl)),X3,X2)
| ~ sequential(sK7_skl(sK8_skl),X0)
| ~ sequential(X1,sK1_skl(X2,X3,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK1_skl(X2,X3,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ794_spl])],[split_symbol_definition]) ).
fof(f9687,plain,
( ~ sQ742_spl
| ~ sQ120_spl
| ~ sQ49_spl
| sQ794_spl ),
inference(split_clause,[status(thm)],[f9345,f9684,f593,f1420,f9256]) ).
fof(f9688,definition,
! [X0,X1,X2,X3] :
( sQ795_spl
<=> ( ~ path(tail_of(sK7_skl(sK8_skl)),X3,X2)
| ~ sequential(sK1_skl(X2,X3,tail_of(sK6_skl(sK8_skl))),X0)
| ~ on_path(sK1_skl(X2,X3,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ sequential(X1,sK7_skl(sK8_skl))
| ~ on_path(X1,sK8_skl)
| ~ sequential(X0,X1)
| ~ on_path(X0,sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ795_spl])],[split_symbol_definition]) ).
fof(f9691,plain,
( ~ sQ742_spl
| ~ sQ114_spl
| ~ sQ49_spl
| sQ795_spl ),
inference(split_clause,[status(thm)],[f9346,f9688,f593,f1396,f9256]) ).
fof(f9696,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ796_spl
<=> ( ~ precedes(sK1_skl(X2,X1,tail_of(X0)),sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(X0),X1,X2)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ796_spl])],[split_symbol_definition]) ).
fof(f9699,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ796_spl ),
inference(split_clause,[status(thm)],[f9349,f9696,f762,f135,f139,f9256]) ).
fof(f9700,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ797_spl
<=> ( ~ precedes(sK1_skl(X2,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X2)
| head_of(sK7_skl(sK8_skl)) = tail_of(X0)
| sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK7_skl(sK8_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ797_spl])],[split_symbol_definition]) ).
fof(f9703,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ581_spl
| sQ797_spl ),
inference(split_clause,[status(thm)],[f9350,f9700,f7832,f135,f139,f9256]) ).
fof(f9709,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ798_spl
<=> ( ~ precedes(X2,sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK1_skl(X0,X1,tail_of(X2)))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(X2),X1,X0)
| head_of(sK1_skl(X0,X1,tail_of(X2))) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(sK1_skl(X0,X1,tail_of(X2))))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(sK1_skl(X0,X1,tail_of(X2)))) = sK7_skl(sK8_skl)
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(sK1_skl(X0,X1,tail_of(X2)))),sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ798_spl])],[split_symbol_definition]) ).
fof(f9712,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ798_spl ),
inference(split_clause,[status(thm)],[f9352,f9709,f762,f135,f139,f9256]) ).
fof(f9713,definition,
! [X0,X1,X2,X3] :
( sQ799_spl
<=> ( ~ precedes(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ799_spl])],[split_symbol_definition]) ).
fof(f9716,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ799_spl ),
inference(split_clause,[status(thm)],[f9353,f9713,f762,f135,f139,f9256]) ).
fof(f9717,definition,
! [X0,X1,X2,X3] :
( sQ800_spl
<=> ( ~ precedes(X0,sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)) = sK7_skl(sK8_skl)
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ800_spl])],[split_symbol_definition]) ).
fof(f9720,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ800_spl ),
inference(split_clause,[status(thm)],[f9354,f9717,f762,f135,f139,f9256]) ).
fof(f9721,definition,
! [X0,X1] :
( sQ801_spl
<=> ( ~ sequential(X1,sK0_skl(X0,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ801_spl])],[split_symbol_definition]) ).
fof(f9724,plain,
( ~ sQ742_spl
| ~ sQ142_spl
| ~ sQ19_spl
| ~ sQ49_spl
| sQ801_spl ),
inference(split_clause,[status(thm)],[f9355,f9721,f593,f368,f1697,f9256]) ).
fof(f9725,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ802_spl
<=> ( ~ sequential(X5,sK3_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK3_skl(head_of(sK7_skl(sK8_skl)),X0),sK8_skl)
| ~ on_path(X5,sK8_skl)
| ~ sequential(sK1_skl(X4,X3,tail_of(sK6_skl(sK8_skl))),X5)
| ~ on_path(sK1_skl(X4,X3,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X4)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X0)
| ~ path(X1,X2,X0)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X0)
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ802_spl])],[split_symbol_definition]) ).
fof(f9728,plain,
( ~ sQ742_spl
| ~ sQ95_spl
| ~ sQ59_spl
| sQ802_spl ),
inference(split_clause,[status(thm)],[f9356,f9725,f762,f1216,f9256]) ).
fof(f9729,definition,
! [X0,X1,X2,X3,X4] :
( sQ803_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(sK6_skl(sK8_skl))))),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(sK7_skl(sK8_skl)) = X1
| ~ vertex(X1)
| X1 = tail_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl))))
| head_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl)))) = tail_of(X0)
| ~ vertex(head_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl)))))
| sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl))))) = X0
| ~ edge(X0)
| sequential(sK0_skl(tail_of(X0),head_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl))))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ803_spl])],[split_symbol_definition]) ).
fof(f9732,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ803_spl ),
inference(split_clause,[status(thm)],[f9357,f9729,f9485,f135,f139,f143,f9256]) ).
fof(f9733,definition,
! [X0,X1,X2,X3,X4] :
( sQ804_spl
<=> ( ~ precedes(X1,sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(sK0_skl(X0,tail_of(X1)))),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(X1) = X0
| ~ vertex(X0)
| ~ vertex(tail_of(X1))
| X0 = tail_of(sK0_skl(X0,tail_of(X1)))
| head_of(sK0_skl(X0,tail_of(X1))) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(sK0_skl(X0,tail_of(X1))))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(sK0_skl(X0,tail_of(X1)))) = sK7_skl(sK8_skl)
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(sK0_skl(X0,tail_of(X1)))),sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ804_spl])],[split_symbol_definition]) ).
fof(f9736,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ804_spl ),
inference(split_clause,[status(thm)],[f9358,f9733,f762,f135,f139,f143,f9256]) ).
fof(f9737,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ805_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ in_path(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)
| ~ path(X2,X3,X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)
| ~ edge(sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| sequential(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK3_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ805_spl])],[split_symbol_definition]) ).
fof(f9740,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ805_spl ),
inference(split_clause,[status(thm)],[f9359,f9737,f9485,f135,f143,f9256]) ).
fof(f9741,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ806_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),X6)
| ~ shortest_path(X4,X5,X6)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ in_path(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)
| ~ path(X2,X3,X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)
| ~ edge(sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1))
| sequential(sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ806_spl])],[split_symbol_definition]) ).
fof(f9744,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ806_spl ),
inference(split_clause,[status(thm)],[f9360,f9741,f9485,f135,f143,f9256]) ).
fof(f9745,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ807_spl
<=> ( ~ precedes(sK1_skl(X2,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(X0,head_of(sK7_skl(sK8_skl))),X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X2)
| head_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK7_skl(sK8_skl) = sK0_skl(X0,head_of(sK7_skl(sK8_skl)))
| sequential(sK7_skl(sK8_skl),sK0_skl(X0,head_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ807_spl])],[split_symbol_definition]) ).
fof(f9748,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ807_spl ),
inference(split_clause,[status(thm)],[f9361,f9745,f762,f135,f143,f9256]) ).
fof(f9761,definition,
! [X0,X1,X2,X3] :
( sQ808_spl
<=> ( edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ808_spl])],[split_symbol_definition]) ).
fof(f9764,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ808_spl ),
inference(split_clause,[status(thm)],[f9364,f9761,f9485,f135,f143,f9256]) ).
fof(f9765,definition,
! [X0,X1,X2,X3] :
( sQ809_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ809_spl])],[split_symbol_definition]) ).
fof(f9768,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ809_spl ),
inference(split_clause,[status(thm)],[f9365,f9765,f9485,f135,f143,f9256]) ).
fof(f9769,definition,
! [X0,X1,X2,X3,X4] :
( sQ810_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),sK0_skl(X1,head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) = X1
| ~ vertex(X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK0_skl(X1,head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| sequential(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK0_skl(X1,head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ810_spl])],[split_symbol_definition]) ).
fof(f9772,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ810_spl ),
inference(split_clause,[status(thm)],[f9366,f9769,f9485,f135,f143,f9256]) ).
fof(f9773,definition,
! [X0,X1,X2,X3,X4] :
( sQ811_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),sK0_skl(X1,head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) = X1
| ~ vertex(X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK0_skl(X1,head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| sequential(sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),sK0_skl(X1,head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ811_spl])],[split_symbol_definition]) ).
fof(f9776,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ811_spl ),
inference(split_clause,[status(thm)],[f9367,f9773,f9485,f135,f143,f9256]) ).
fof(f9777,definition,
! [X0,X1,X2,X3,X4] :
( sQ812_spl
<=> ( head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0))) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ812_spl])],[split_symbol_definition]) ).
fof(f9780,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ812_spl ),
inference(split_clause,[status(thm)],[f9368,f9777,f9485,f135,f143,f9256]) ).
fof(f9781,definition,
! [X0,X1,X2,X3,X4] :
( sQ813_spl
<=> ( head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),X4,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| X0 = sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0))
| ~ edge(X0)
| sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ813_spl])],[split_symbol_definition]) ).
fof(f9784,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ813_spl ),
inference(split_clause,[status(thm)],[f9369,f9781,f9485,f135,f143,f9256]) ).
fof(f9785,definition,
! [X0] :
( sQ814_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),sK0_skl(tail_of(sK6_skl(sK8_skl)),X0))
| ~ on_path(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),sK8_skl)
| sK0_skl(tail_of(sK7_skl(sK8_skl)),X0) = sK7_skl(sK8_skl)
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ814_spl])],[split_symbol_definition]) ).
fof(f9788,plain,
( ~ sQ742_spl
| ~ sQ244_spl
| ~ sQ49_spl
| ~ sQ59_spl
| sQ814_spl ),
inference(split_clause,[status(thm)],[f9370,f9785,f762,f593,f2806,f9256]) ).
fof(f9789,definition,
! [X0,X1,X2,X3] :
( sQ815_spl
<=> ( sK0_skl(tail_of(sK7_skl(sK8_skl)),X0) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),sK7_skl(sK8_skl))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(tail_of(sK6_skl(sK8_skl)),X0),X3)
| ~ shortest_path(X1,X2,X3)
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ815_spl])],[split_symbol_definition]) ).
fof(f9792,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ59_spl
| sQ815_spl ),
inference(split_clause,[status(thm)],[f9371,f9789,f762,f139,f9256]) ).
fof(f9793,definition,
! [X0,X1] :
( sQ816_spl
<=> ( ~ sequential(X1,sK0_skl(X0,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ816_spl])],[split_symbol_definition]) ).
fof(f9796,plain,
( ~ sQ742_spl
| ~ sQ87_spl
| ~ sQ49_spl
| sQ816_spl ),
inference(split_clause,[status(thm)],[f9372,f9793,f593,f1051,f9256]) ).
fof(f9797,definition,
! [X0,X1] :
( sQ817_spl
<=> ( ~ sequential(X1,sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),sK8_skl)
| ~ on_path(X1,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X1)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ817_spl])],[split_symbol_definition]) ).
fof(f9800,plain,
( ~ sQ742_spl
| ~ sQ87_spl
| ~ sQ49_spl
| sQ817_spl ),
inference(split_clause,[status(thm)],[f9373,f9797,f593,f1051,f9256]) ).
fof(f9804,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ818_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),sK1_skl(X2,head_of(sK0_skl(X1,tail_of(sK6_skl(sK8_skl)))),X0),X5)
| ~ shortest_path(X3,X4,X5)
| tail_of(sK7_skl(sK8_skl)) = X1
| ~ vertex(X1)
| X1 = tail_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl))))
| vertex(head_of(sK1_skl(X2,head_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl)))),X0)))
| ~ path(X0,head_of(sK0_skl(X1,tail_of(sK7_skl(sK8_skl)))),X2) ) ),
introduced(definition,[new_symbols(definition,[sQ818_spl])],[split_symbol_definition]) ).
fof(f9807,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ752_spl
| sQ818_spl ),
inference(split_clause,[status(thm)],[f9375,f9804,f9485,f143,f9256]) ).
fof(f9809,definition,
! [X0,X1,X2,X3] :
( sQ819_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl))))
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| X0 = sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl)))
| ~ edge(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ819_spl])],[split_symbol_definition]) ).
fof(f9812,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ819_spl ),
inference(split_clause,[status(thm)],[f9377,f9809,f9485,f135,f139,f143,f9256]) ).
fof(f9813,definition,
! [X0,X1,X2,X3] :
( sQ820_spl
<=> ( ~ path(tail_of(sK7_skl(sK8_skl)),X2,X1)
| X3 = head_of(sK1_skl(X1,X2,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK1_skl(X1,X2,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(sK1_skl(X1,X2,tail_of(sK7_skl(sK8_skl)))),X3))
| ~ sequential(X0,sK0_skl(head_of(sK1_skl(X1,X2,tail_of(sK6_skl(sK8_skl)))),X3))
| ~ on_path(sK0_skl(head_of(sK1_skl(X1,X2,tail_of(sK7_skl(sK8_skl)))),X3),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ820_spl])],[split_symbol_definition]) ).
fof(f9816,plain,
( ~ sQ742_spl
| ~ sQ25_spl
| sQ820_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f9378,f593,f9813,f417,f9256]) ).
fof(f9817,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ821_spl
<=> ( ~ precedes(sK1_skl(X2,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X0),X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X2)
| X0 = head_of(sK7_skl(sK8_skl))
| ~ vertex(X0)
| sK7_skl(sK8_skl) = sK0_skl(head_of(sK7_skl(sK8_skl)),X0)
| sequential(sK7_skl(sK8_skl),sK0_skl(head_of(sK7_skl(sK8_skl)),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ821_spl])],[split_symbol_definition]) ).
fof(f9820,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ821_spl ),
inference(split_clause,[status(thm)],[f9379,f9817,f762,f135,f139,f9256]) ).
fof(f9833,definition,
! [X0,X1,X2,X3,X4] :
( sQ822_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)
| sequential(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ822_spl])],[split_symbol_definition]) ).
fof(f9836,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ822_spl ),
inference(split_clause,[status(thm)],[f9382,f9833,f9485,f135,f139,f143,f9256]) ).
fof(f9837,definition,
! [X0,X1,X2,X3,X4] :
( sQ823_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1),X4)
| ~ shortest_path(X2,X3,X4)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| X1 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(X1)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)
| sequential(sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ823_spl])],[split_symbol_definition]) ).
fof(f9840,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ823_spl ),
inference(split_clause,[status(thm)],[f9383,f9837,f9485,f135,f139,f143,f9256]) ).
fof(f9841,definition,
! [X0,X1,X2,X3,X4] :
( sQ824_spl
<=> ( sK0_skl(tail_of(sK7_skl(sK8_skl)),X0) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),sK7_skl(sK8_skl))
| head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),X0)) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ824_spl])],[split_symbol_definition]) ).
fof(f9844,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ59_spl
| sQ824_spl ),
inference(split_clause,[status(thm)],[f9384,f9841,f762,f139,f9256]) ).
fof(f9845,definition,
! [X0,X1,X2,X3,X4] :
( sQ825_spl
<=> ( ~ sP0_prd(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),tail_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0))) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ825_spl])],[split_symbol_definition]) ).
fof(f9848,plain,
( ~ sQ742_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ752_spl
| sQ825_spl ),
inference(split_clause,[status(thm)],[f9385,f9845,f9485,f139,f147,f9256]) ).
fof(f9849,definition,
! [X0,X1,X2,X3,X4] :
( sQ826_spl
<=> ( sK0_skl(tail_of(sK6_skl(sK8_skl)),X0) = sK7_skl(sK8_skl)
| ~ edge(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0))
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),sK7_skl(sK8_skl))
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),X4,X3)
| ~ shortest_path(X1,X2,X3)
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ826_spl])],[split_symbol_definition]) ).
fof(f9852,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ59_spl
| sQ826_spl ),
inference(split_clause,[status(thm)],[f9386,f9849,f762,f139,f9256]) ).
fof(f9853,definition,
! [X0,X1,X2,X3,X4] :
( sQ827_spl
<=> ( ~ sP0_prd(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),tail_of(sK7_skl(sK8_skl)),head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)))
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),X4,X3)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(head_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ827_spl])],[split_symbol_definition]) ).
fof(f9856,plain,
( ~ sQ742_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ752_spl
| sQ827_spl ),
inference(split_clause,[status(thm)],[f9387,f9853,f9485,f139,f147,f9256]) ).
fof(f9857,definition,
! [X0,X1,X2,X3] :
( sQ828_spl
<=> ( tail_of(sK7_skl(sK8_skl)) = head_of(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))))
| ~ precedes(sK7_skl(sK8_skl),X0,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| ~ vertex(head_of(X0))
| head_of(X0) = tail_of(sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ828_spl])],[split_symbol_definition]) ).
fof(f9860,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ752_spl
| sQ828_spl ),
inference(split_clause,[status(thm)],[f9388,f9857,f9485,f143,f139,f9256]) ).
fof(f9861,definition,
! [X0,X1,X2,X3] :
( sQ829_spl
<=> ( ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| X3 = head_of(sK7_skl(sK8_skl))
| ~ vertex(X3)
| X3 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X3))
| ~ sequential(X2,sK0_skl(head_of(sK7_skl(sK8_skl)),X3))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X3),sK8_skl)
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ829_spl])],[split_symbol_definition]) ).
fof(f9864,plain,
( ~ sQ742_spl
| ~ sQ23_spl
| ~ sQ581_spl
| sQ829_spl ),
inference(split_clause,[status(thm)],[f9389,f9861,f7832,f409,f9256]) ).
fof(f9865,definition,
! [X0,X1,X2,X3,X4] :
( sQ830_spl
<=> ( X4 = head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X4)
| X4 = head_of(sK0_skl(head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))),X4))
| ~ precedes(sK7_skl(sK8_skl),sK0_skl(head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))),X4),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ830_spl])],[split_symbol_definition]) ).
fof(f9868,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ752_spl
| sQ830_spl ),
inference(split_clause,[status(thm)],[f9390,f9865,f9485,f143,f139,f9256]) ).
fof(f9869,definition,
! [X0,X1,X2,X3,X4] :
( sQ831_spl
<=> ( head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(sK6_skl(sK8_skl))) = sK7_skl(sK8_skl)
| sequential(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ831_spl])],[split_symbol_definition]) ).
fof(f9872,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ831_spl ),
inference(split_clause,[status(thm)],[f9391,f9869,f762,f135,f143,f9256]) ).
fof(f9873,definition,
! [X0] :
( sQ832_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),sK0_skl(X0,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ832_spl])],[split_symbol_definition]) ).
fof(f9876,plain,
( ~ sQ742_spl
| ~ sQ143_spl
| ~ sQ49_spl
| sQ832_spl ),
inference(split_clause,[status(thm)],[f9392,f9873,f593,f1701,f9256]) ).
fof(f9877,definition,
! [X0,X1,X2,X3] :
( sQ833_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| sequential(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ833_spl])],[split_symbol_definition]) ).
fof(f9880,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ833_spl ),
inference(split_clause,[status(thm)],[f9393,f9877,f762,f135,f143,f9256]) ).
fof(f9881,definition,
! [X0,X1,X2] :
( sQ834_spl
<=> ( ~ path(tail_of(sK7_skl(sK8_skl)),X2,X1)
| ~ sequential(X0,sK1_skl(X1,X2,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK1_skl(X1,X2,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ on_path(X0,sK8_skl)
| ~ sequential(sK7_skl(sK8_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ834_spl])],[split_symbol_definition]) ).
fof(f9884,plain,
( ~ sQ742_spl
| ~ sQ27_spl
| sQ834_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f9394,f593,f9881,f425,f9256]) ).
fof(f9885,definition,
! [X0,X1,X2] :
( sQ835_spl
<=> ( ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| ~ sequential(X2,sK7_skl(sK8_skl))
| ~ on_path(X2,sK8_skl)
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),X2)
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ835_spl])],[split_symbol_definition]) ).
fof(f9888,plain,
( ~ sQ742_spl
| ~ sQ24_spl
| ~ sQ49_spl
| sQ835_spl ),
inference(split_clause,[status(thm)],[f9395,f9885,f593,f413,f9256]) ).
fof(f9889,definition,
! [X0,X1,X2,X3,X4] :
( sQ836_spl
<=> ( head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| sK0_skl(X0,tail_of(sK7_skl(sK8_skl))) = sK7_skl(sK8_skl)
| sequential(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ836_spl])],[split_symbol_definition]) ).
fof(f9892,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ836_spl ),
inference(split_clause,[status(thm)],[f9396,f9889,f762,f135,f143,f9256]) ).
fof(f9893,definition,
! [X0,X1,X2,X3,X4] :
( sQ837_spl
<=> ( head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(X0)
| X0 = sK0_skl(head_of(X0),tail_of(sK6_skl(sK8_skl)))
| ~ edge(X0)
| sequential(X0,sK0_skl(head_of(X0),tail_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ837_spl])],[split_symbol_definition]) ).
fof(f9896,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ752_spl
| sQ837_spl ),
inference(split_clause,[status(thm)],[f9397,f9893,f9485,f135,f143,f9256]) ).
fof(f9897,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sQ838_spl
<=> ( head_of(sK0_skl(tail_of(X0),tail_of(sK6_skl(sK8_skl)))) != head_of(X8)
| ~ precedes(X0,X8,X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ838_spl])],[split_symbol_definition]) ).
fof(f9900,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| sQ838_spl
| ~ sQ752_spl ),
inference(split_clause,[status(thm)],[f9398,f9485,f9897,f143,f9256]) ).
fof(f9901,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sQ839_spl
<=> ( head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),tail_of(X0))) != head_of(X8)
| ~ precedes(sK7_skl(sK8_skl),X8,X7)
| ~ shortest_path(X5,X6,X7)
| head_of(X0) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ839_spl])],[split_symbol_definition]) ).
fof(f9904,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ752_spl
| sQ839_spl ),
inference(split_clause,[status(thm)],[f9399,f9901,f9485,f143,f9256]) ).
fof(f9905,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sQ840_spl
<=> ( head_of(sK7_skl(sK8_skl)) != head_of(X8)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)),X8,X7)
| ~ shortest_path(X5,X6,X7)
| head_of(X0) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),tail_of(X0)),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(X0) = tail_of(sK6_skl(sK8_skl))
| ~ vertex(tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ840_spl])],[split_symbol_definition]) ).
fof(f9908,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ752_spl
| sQ840_spl ),
inference(split_clause,[status(thm)],[f9400,f9905,f9485,f143,f9256]) ).
fof(f9909,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sQ841_spl
<=> ( head_of(X0) != head_of(X8)
| ~ precedes(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X8,X7)
| ~ shortest_path(X5,X6,X7)
| head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(X0),tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK6_skl(sK8_skl)) = tail_of(X0)
| ~ vertex(tail_of(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ841_spl])],[split_symbol_definition]) ).
fof(f9912,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| sQ841_spl
| ~ sQ752_spl ),
inference(split_clause,[status(thm)],[f9401,f9485,f9909,f143,f9256]) ).
fof(f9913,definition,
! [X0] :
( sQ842_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),sK0_skl(X0,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ842_spl])],[split_symbol_definition]) ).
fof(f9916,plain,
( ~ sQ742_spl
| ~ sQ88_spl
| ~ sQ49_spl
| sQ842_spl ),
inference(split_clause,[status(thm)],[f9402,f9913,f593,f1055,f9256]) ).
fof(f9917,definition,
! [X0] :
( sQ843_spl
<=> ( ~ sequential(sK7_skl(sK8_skl),sK0_skl(X0,tail_of(sK7_skl(sK8_skl))))
| ~ on_path(sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),sK8_skl)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ843_spl])],[split_symbol_definition]) ).
fof(f9920,plain,
( ~ sQ742_spl
| ~ sQ88_spl
| ~ sQ49_spl
| sQ843_spl ),
inference(split_clause,[status(thm)],[f9403,f9917,f593,f1055,f9256]) ).
fof(f9921,definition,
! [X0,X1,X2,X3,X4] :
( sQ844_spl
<=> ( ~ sequential(sK1_skl(X4,X3,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK7_skl(sK8_skl)),X0))
| ~ on_path(sK3_skl(head_of(sK7_skl(sK8_skl)),X0),sK8_skl)
| ~ on_path(sK1_skl(X4,X3,tail_of(sK7_skl(sK8_skl))),sK8_skl)
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X4)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X0)
| ~ path(X1,X2,X0)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X0)
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ844_spl])],[split_symbol_definition]) ).
fof(f9924,plain,
( ~ sQ742_spl
| ~ sQ96_spl
| ~ sQ59_spl
| sQ844_spl ),
inference(split_clause,[status(thm)],[f9404,f9921,f762,f1220,f9256]) ).
fof(f9925,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ845_spl
<=> ( ~ precedes(sK1_skl(X4,X3,tail_of(sK6_skl(sK8_skl))),sK3_skl(head_of(sK7_skl(sK8_skl)),X0),X7)
| ~ shortest_path(X5,X6,X7)
| ~ path(tail_of(sK7_skl(sK8_skl)),X3,X4)
| ~ in_path(head_of(sK7_skl(sK8_skl)),X0)
| ~ path(X1,X2,X0)
| sK7_skl(sK8_skl) = sK3_skl(head_of(sK7_skl(sK8_skl)),X0)
| ~ edge(sK3_skl(head_of(sK7_skl(sK8_skl)),X0))
| sequential(sK7_skl(sK8_skl),sK3_skl(head_of(sK7_skl(sK8_skl)),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ845_spl])],[split_symbol_definition]) ).
fof(f9928,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| sQ845_spl ),
inference(split_clause,[status(thm)],[f9406,f9925,f762,f9256]) ).
fof(f9943,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ846_spl
<=> ( sK3_skl(tail_of(sK7_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| head_of(sK3_skl(tail_of(sK6_skl(sK8_skl)),X2)) != head_of(X6)
| ~ precedes(sK7_skl(sK8_skl),X6,X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ846_spl])],[split_symbol_definition]) ).
fof(f9946,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| sQ846_spl ),
inference(split_clause,[status(thm)],[f9410,f9943,f762,f9256]) ).
fof(f9947,definition,
! [X0,X1,X2,X3] :
( sQ847_spl
<=> ( ~ precedes(sK7_skl(sK8_skl),sK0_skl(X0,tail_of(sK6_skl(sK8_skl))),X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ847_spl])],[split_symbol_definition]) ).
fof(f9950,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ752_spl
| sQ847_spl ),
inference(split_clause,[status(thm)],[f9411,f9947,f9485,f143,f9256]) ).
fof(f9951,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ848_spl
<=> ( sK3_skl(tail_of(sK6_skl(sK8_skl)),X2) = sK7_skl(sK8_skl)
| ~ edge(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2))
| sequential(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),sK7_skl(sK8_skl))
| head_of(sK7_skl(sK8_skl)) != head_of(X6)
| ~ precedes(sK3_skl(tail_of(sK7_skl(sK8_skl)),X2),X6,X5)
| ~ shortest_path(X3,X4,X5)
| ~ in_path(tail_of(sK7_skl(sK8_skl)),X2)
| ~ path(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ848_spl])],[split_symbol_definition]) ).
fof(f9954,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| sQ848_spl ),
inference(split_clause,[status(thm)],[f9412,f9951,f762,f9256]) ).
fof(f9955,definition,
! [X0] :
( sQ849_spl
<=> ( X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0)
| X0 = head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),X0))
| sK0_skl(tail_of(sK7_skl(sK8_skl)),X0) = sK7_skl(sK8_skl)
| sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ849_spl])],[split_symbol_definition]) ).
fof(f9958,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ59_spl
| sQ849_spl ),
inference(split_clause,[status(thm)],[f9413,f9955,f762,f135,f139,f9256]) ).
fof(f9960,definition,
! [X0] :
( sQ850_spl
<=> ( ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl))
| ~ sP0_prd(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),tail_of(sK6_skl(sK8_skl)),head_of(X0))
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ850_spl])],[split_symbol_definition]) ).
fof(f9963,plain,
( ~ sQ742_spl
| ~ sQ4_spl
| ~ sQ752_spl
| sQ850_spl ),
inference(split_clause,[status(thm)],[f9417,f9960,f9485,f147,f9256]) ).
fof(f9964,definition,
! [X0] :
( sQ851_spl
<=> ( ~ sequential(sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0)),sK7_skl(sK8_skl))
| ~ sP0_prd(sK0_skl(tail_of(sK6_skl(sK8_skl)),head_of(X0)),tail_of(sK7_skl(sK8_skl)),head_of(X0))
| head_of(X0) = tail_of(sK7_skl(sK8_skl))
| ~ vertex(head_of(X0))
| ~ sequential(X0,sK0_skl(tail_of(sK7_skl(sK8_skl)),head_of(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ851_spl])],[split_symbol_definition]) ).
fof(f9967,plain,
( ~ sQ742_spl
| ~ sQ4_spl
| ~ sQ752_spl
| sQ851_spl ),
inference(split_clause,[status(thm)],[f9418,f9964,f9485,f147,f9256]) ).
fof(f9968,definition,
! [X0,X1,X2] :
( sQ852_spl
<=> ( ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| X2 = head_of(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))))
| ~ vertex(head_of(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl)))))
| ~ vertex(X2)
| X2 = head_of(sK0_skl(head_of(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl)))),X2))
| ~ sequential(sK7_skl(sK8_skl),sK0_skl(head_of(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl)))),X2))
| ~ on_path(sK0_skl(head_of(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl)))),X2),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ852_spl])],[split_symbol_definition]) ).
fof(f9971,plain,
( ~ sQ742_spl
| ~ sQ13_spl
| sQ852_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f9419,f593,f9968,f307,f9256]) ).
fof(f9972,definition,
! [X0,X1,X2,X3,X4] :
( sQ853_spl
<=> ( head_of(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0)) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),X0))
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ853_spl])],[split_symbol_definition]) ).
fof(f9975,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ752_spl
| sQ853_spl ),
inference(split_clause,[status(thm)],[f9420,f9972,f9485,f139,f9256]) ).
fof(f9976,definition,
! [X0,X1,X2,X3,X4] :
( sQ854_spl
<=> ( head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(tail_of(sK7_skl(sK8_skl)),X0),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = head_of(sK0_skl(tail_of(sK6_skl(sK8_skl)),X0))
| X0 = tail_of(sK7_skl(sK8_skl))
| ~ vertex(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ854_spl])],[split_symbol_definition]) ).
fof(f9979,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ752_spl
| sQ854_spl ),
inference(split_clause,[status(thm)],[f9421,f9976,f9485,f139,f9256]) ).
fof(f9980,definition,
! [X0,X1,X2] :
( sQ855_spl
<=> ( ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| X2 = head_of(sK7_skl(sK8_skl))
| ~ vertex(X2)
| X2 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X2))
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X2))
| ~ on_path(sK0_skl(head_of(sK7_skl(sK8_skl)),X2),sK8_skl)
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ855_spl])],[split_symbol_definition]) ).
fof(f9983,plain,
( ~ sQ742_spl
| ~ sQ11_spl
| ~ sQ581_spl
| sQ855_spl ),
inference(split_clause,[status(thm)],[f9422,f9980,f7832,f299,f9256]) ).
fof(f9984,definition,
! [X0,X1,X2,X3,X4] :
( sQ856_spl
<=> ( head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ856_spl])],[split_symbol_definition]) ).
fof(f9987,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ752_spl
| sQ856_spl ),
inference(split_clause,[status(thm)],[f9423,f9984,f9485,f143,f9256]) ).
fof(f9988,definition,
! [X0,X1] :
( sQ857_spl
<=> ( ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| ~ sequential(sK7_skl(sK8_skl),sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))))
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ857_spl])],[split_symbol_definition]) ).
fof(f9991,plain,
( ~ sQ742_spl
| ~ sQ15_spl
| sQ857_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f9424,f593,f9988,f315,f9256]) ).
fof(f9992,definition,
! [X0,X1] :
( sQ858_spl
<=> ( ~ path(head_of(sK7_skl(sK8_skl)),X0,X1)
| path(tail_of(sK6_skl(sK8_skl)),X0,path_cons(sK7_skl(sK8_skl),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ858_spl])],[split_symbol_definition]) ).
fof(f9995,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| sQ858_spl ),
inference(split_clause,[status(thm)],[f9425,f9992,f762,f9256]) ).
fof(f10002,definition,
! [X0,X1] :
( sQ859_spl
<=> ( ~ path(tail_of(sK7_skl(sK8_skl)),X1,X0)
| ~ sequential(sK1_skl(X0,X1,tail_of(sK6_skl(sK8_skl))),sK7_skl(sK8_skl))
| ~ on_path(sK1_skl(X0,X1,tail_of(sK7_skl(sK8_skl))),sK8_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ859_spl])],[split_symbol_definition]) ).
fof(f10005,plain,
( ~ sQ742_spl
| ~ sQ12_spl
| ~ sQ49_spl
| sQ859_spl ),
inference(split_clause,[status(thm)],[f9428,f10002,f593,f303,f9256]) ).
fof(f10006,definition,
! [X0] :
( sQ860_spl
<=> ( head_of(X0) != tail_of(sK6_skl(sK8_skl))
| X0 = sK7_skl(sK8_skl)
| ~ edge(X0)
| sequential(X0,sK7_skl(sK8_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ860_spl])],[split_symbol_definition]) ).
fof(f10009,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| sQ860_spl ),
inference(split_clause,[status(thm)],[f9429,f10006,f762,f9256]) ).
fof(f10010,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ861_spl
<=> ( ~ precedes(sK1_skl(X2,X1,tail_of(sK6_skl(sK8_skl))),sK0_skl(head_of(sK7_skl(sK8_skl)),X0),X5)
| ~ shortest_path(X3,X4,X5)
| ~ path(tail_of(sK7_skl(sK8_skl)),X1,X2)
| X0 = head_of(sK7_skl(sK8_skl))
| ~ vertex(X0)
| X0 = head_of(sK0_skl(head_of(sK7_skl(sK8_skl)),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ861_spl])],[split_symbol_definition]) ).
fof(f10013,plain,
( ~ sQ742_spl
| ~ sQ2_spl
| ~ sQ581_spl
| sQ861_spl ),
inference(split_clause,[status(thm)],[f9430,f10010,f7832,f139,f9256]) ).
fof(f10018,definition,
( sQ862_spl
<=> in_path(tail_of(sK6_skl(sK8_skl)),sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ862_spl])],[split_symbol_definition]) ).
fof(f10021,plain,
( ~ sQ742_spl
| sQ862_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f9432,f593,f10018,f9256]) ).
fof(f10022,definition,
! [X0,X1,X2,X3,X4] :
( sQ863_spl
<=> ( head_of(sK0_skl(X0,tail_of(sK7_skl(sK8_skl)))) != head_of(X4)
| ~ precedes(sK7_skl(sK8_skl),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| tail_of(sK7_skl(sK8_skl)) = head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ863_spl])],[split_symbol_definition]) ).
fof(f10025,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ752_spl
| sQ863_spl ),
inference(split_clause,[status(thm)],[f9433,f10022,f9485,f143,f9256]) ).
fof(f10026,definition,
! [X0,X1,X2,X3,X4] :
( sQ864_spl
<=> ( head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| tail_of(sK7_skl(sK8_skl)) = head_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ864_spl])],[split_symbol_definition]) ).
fof(f10029,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ752_spl
| sQ864_spl ),
inference(split_clause,[status(thm)],[f9434,f10026,f9485,f143,f9256]) ).
fof(f10030,definition,
! [X0,X1,X2,X3,X4] :
( sQ865_spl
<=> ( head_of(sK7_skl(sK8_skl)) != head_of(X4)
| ~ precedes(sK0_skl(X0,tail_of(sK7_skl(sK8_skl))),X4,X3)
| ~ shortest_path(X1,X2,X3)
| tail_of(sK7_skl(sK8_skl)) = X0
| ~ vertex(X0)
| X0 = tail_of(sK0_skl(X0,tail_of(sK6_skl(sK8_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ865_spl])],[split_symbol_definition]) ).
fof(f10033,plain,
( ~ sQ742_spl
| ~ sQ3_spl
| ~ sQ752_spl
| sQ865_spl ),
inference(split_clause,[status(thm)],[f9435,f10030,f9485,f143,f9256]) ).
fof(f10037,definition,
( sQ866_spl
<=> path(tail_of(sK6_skl(sK8_skl)),head_of(sK7_skl(sK8_skl)),path_cons(sK7_skl(sK8_skl),empty)) ),
introduced(definition,[new_symbols(definition,[sQ866_spl])],[split_symbol_definition]) ).
fof(f10040,plain,
( ~ sQ742_spl
| ~ sQ59_spl
| ~ sQ581_spl
| sQ866_spl ),
inference(split_clause,[status(thm)],[f9441,f10037,f7832,f762,f9256]) ).
fof(f10043,plain,
( sQ752_spl
| ~ edge(sK7_skl(sK8_skl)) ),
inference(resolution,[status(thm)],[f9487,f24]) ).
fof(f10044,plain,
( sQ752_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f10043,f762,f9485]) ).
fof(f10190,plain,
( ~ sQ583_spl
| ~ sQ577_spl
| sK7_skl(sK8_skl) = sK6_skl(sK8_skl) ),
inference(forward_demodulation,[status(thm)],[f7821,f7839]) ).
fof(f10191,plain,
( ~ sQ583_spl
| ~ sQ577_spl
| sQ591_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10190,f7919]) ).
fof(f10192,plain,
( ~ sQ583_spl
| ~ sQ577_spl
| sQ591_spl ),
inference(contradiction_clause,[status(thm)],[f10191]) ).
fof(f10193,plain,
$false,
inference(sat_refutation,[status(thm)],[f138,f142,f146,f150,f158,f236,f238,f250,f256,f298,f302,f306,f310,f314,f318,f323,f327,f329,f342,f371,f386,f390,f408,f412,f416,f420,f424,f428,f434,f438,f442,f455,f459,f468,f475,f482,f486,f499,f503,f508,f538,f542,f546,f550,f554,f558,f576,f596,f618,f637,f641,f645,f649,f657,f705,f713,f768,f772,f776,f780,f787,f791,f801,f803,f812,f816,f822,f826,f865,f875,f879,f891,f946,f950,f958,f962,f968,f972,f976,f980,f1035,f1042,f1054,f1058,f1165,f1173,f1179,f1187,f1196,f1198,f1205,f1219,f1223,f1234,f1238,f1261,f1267,f1273,f1281,f1293,f1297,f1311,f1315,f1371,f1375,f1379,f1383,f1387,f1391,f1395,f1399,f1403,f1407,f1411,f1415,f1419,f1423,f1433,f1437,f1442,f1446,f1450,f1454,f1458,f1474,f1487,f1491,f1495,f1579,f1583,f1587,f1601,f1605,f1609,f1626,f1630,f1634,f1696,f1700,f1704,f1729,f1733,f1737,f1888,f1899,f1909,f1917,f1927,f1934,f1941,f1945,f1957,f1961,f1968,f1974,f1978,f1986,f1991,f1995,f2006,f2018,f2024,f2032,f2038,f2106,f2110,f2114,f2117,f2121,f2122,f2126,f2138,f2151,f2174,f2192,f2196,f2200,f2208,f2248,f2256,f2264,f2415,f2419,f2423,f2431,f2437,f2447,f2453,f2461,f2480,f2484,f2488,f2505,f2509,f2513,f2528,f2532,f2536,f2548,f2552,f2556,f2604,f2608,f2612,f2616,f2620,f2624,f2628,f2632,f2636,f2640,f2644,f2648,f2652,f2656,f2660,f2664,f2668,f2672,f2676,f2680,f2684,f2688,f2692,f2696,f2700,f2704,f2716,f2720,f2725,f2729,f2733,f2737,f2741,f2765,f2797,f2801,f2805,f2809,f2829,f2833,f2837,f2841,f2932,f2936,f2940,f2944,f2948,f2952,f2956,f2960,f2964,f2968,f2972,f2976,f2980,f2984,f2988,f2992,f2996,f3000,f3004,f3008,f3012,f3016,f3020,f3024,f3318,f3322,f3326,f3330,f3334,f3338,f3342,f3346,f3350,f3354,f3358,f3362,f3366,f3370,f3374,f3378,f3382,f3386,f3390,f3394,f3398,f3402,f3406,f3410,f3550,f3554,f3558,f3562,f3601,f3605,f3609,f3613,f3717,f3721,f3725,f3729,f3812,f3816,f3820,f3824,f3845,f3849,f3853,f3857,f3874,f3878,f3882,f3886,f3899,f3903,f3907,f3911,f3956,f3960,f3964,f3968,f4037,f4041,f4045,f4049,f4053,f4123,f4152,f4156,f4160,f4164,f4186,f4190,f4194,f4198,f4230,f4234,f4446,f4450,f4454,f4458,f4462,f4466,f4470,f4475,f4715,f4727,f4731,f4737,f4741,f4745,f4752,f4780,f4787,f4813,f4826,f4881,f4885,f4889,f5050,f5054,f5058,f5062,f5066,f5271,f5275,f5279,f5283,f5287,f5291,f5295,f5299,f5303,f5307,f5311,f5315,f5319,f5323,f5327,f5331,f5335,f5339,f5343,f5347,f5351,f5355,f5359,f5363,f5367,f5542,f5546,f5550,f5554,f5558,f5562,f5566,f5713,f5717,f5721,f5725,f5729,f5733,f5737,f5826,f5830,f5834,f5838,f6085,f6099,f6106,f6111,f6118,f6142,f6156,f6160,f6166,f6170,f6193,f6206,f6210,f6222,f6226,f6249,f6277,f6281,f6301,f6309,f6313,f6325,f6329,f6333,f6337,f6355,f6359,f6360,f6371,f6375,f6379,f6383,f6394,f6398,f6402,f6406,f6419,f6423,f6427,f6431,f6455,f6459,f6463,f6467,f6493,f6497,f6501,f6505,f6518,f6522,f6526,f6530,f6638,f6642,f6646,f6650,f6654,f6658,f6820,f6833,f6837,f6841,f6845,f6858,f6862,f6866,f6870,f6891,f6895,f6899,f6903,f6916,f6920,f6924,f6928,f6938,f6942,f6946,f6957,f6961,f6965,f6977,f6981,f6985,f6989,f7002,f7006,f7010,f7014,f7025,f7029,f7033,f7037,f7050,f7054,f7058,f7062,f7073,f7077,f7081,f7085,f7098,f7102,f7106,f7110,f7177,f7181,f7185,f7189,f7193,f7197,f7201,f7205,f7209,f7213,f7217,f7221,f7225,f7229,f7233,f7237,f7241,f7245,f7249,f7253,f7257,f7261,f7265,f7269,f7273,f7277,f7281,f7285,f7289,f7293,f7297,f7301,f7305,f7309,f7313,f7317,f7321,f7325,f7329,f7333,f7337,f7351,f7355,f7360,f7364,f7368,f7372,f7376,f7417,f7580,f7584,f7588,f7592,f7596,f7841,f7921,f8161,f8764,f8766,f8885,f9158,f9205,f9273,f9282,f9449,f9455,f9466,f9470,f9474,f9478,f9506,f9520,f9524,f9528,f9532,f9536,f9540,f9544,f9548,f9552,f9565,f9569,f9573,f9577,f9581,f9585,f9589,f9593,f9597,f9601,f9605,f9609,f9613,f9617,f9621,f9625,f9629,f9633,f9646,f9650,f9659,f9663,f9667,f9671,f9675,f9679,f9683,f9687,f9691,f9699,f9703,f9712,f9716,f9720,f9724,f9728,f9732,f9736,f9740,f9744,f9748,f9764,f9768,f9772,f9776,f9780,f9784,f9788,f9792,f9796,f9800,f9807,f9812,f9816,f9820,f9836,f9840,f9844,f9848,f9852,f9856,f9860,f9864,f9868,f9872,f9876,f9880,f9884,f9888,f9892,f9896,f9900,f9904,f9908,f9912,f9916,f9920,f9924,f9928,f9946,f9950,f9954,f9958,f9963,f9967,f9971,f9975,f9979,f9983,f9987,f9991,f9995,f10005,f10009,f10013,f10021,f10025,f10029,f10033,f10040,f10044,f10192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA011+1 : TPTP v9.3.1. Bugfixed v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 18:26:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 135.39/17.55 % Refutation found
% 135.39/17.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 135.39/17.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 20.86/17.64 % Elapsed time: 17.256948 seconds
% 20.86/17.64 % CPU time: 136.107907 seconds
% 20.86/17.64 % Total memory used: 622.227 MB
% 20.86/17.64 % Net memory used: 585.529 MB
%------------------------------------------------------------------------------