%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV125+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:46:42 PM UTC 2026
% Result : Theorem 81.78s 11.54s
% Output : CNFRefutation 81.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 474
% Syntax : Number of formulae : 2085 ( 326 unt; 389 def)
% Number of atoms : 13076 ( 850 equ)
% Maximal formula atoms : 654 ( 6 avg)
% Number of connectives : 18573 (7582 ~;8133 |;2344 &)
% ( 404 <=>; 110 =>; 0 <=; 0 <~>)
% Maximal formula depth : 117 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 395 ( 393 usr; 391 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 17 con; 0-2 aty)
% Number of variables : 423 ( 419 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( X = Y
| gt(Y,X)
| gt(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] :
( ( gt(Y,Z)
& gt(X,Y) )
=> gt(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& leq(X,Y) )
=> leq(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( geq(X,Y)
<=> leq(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] :
( ( X != Y
& leq(X,Y) )
=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : gt(succ(X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y] :
( leq(X,Y)
=> leq(X,succ(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,C] :
( leq(n0,X)
=> leq(uniform_int_rnd(C,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,C] :
( leq(n0,X)
=> leq(n0,uniform_int_rnd(C,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X] : plus(X,n1) = succ(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] : plus(n1,X) = succ(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X] : plus(X,n3) = succ(succ(succ(X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X] : plus(n3,X) = succ(succ(succ(X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X] : plus(X,n4) = succ(succ(succ(succ(X)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X] : plus(n4,X) = succ(succ(succ(succ(X)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X] : plus(X,n5) = succ(succ(succ(succ(succ(X))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X] : plus(n5,X) = succ(succ(succ(succ(succ(X))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X] : minus(X,n1) = pred(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] : pred(succ(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X] : succ(pred(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( geq(minus(n1000,n1),n0)
& geq(minus(n4,n1),n0) )
=> ! [A] :
( ( geq(minus(n1000,n1),n0)
& geq(n7,n0) )
=> ! [B] :
( ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n1000,n1),n0)
& geq(minus(n4,n1),n0) )
=> true ) ) )
& ( ( leq(pv23,minus(n6,n1))
& leq(n0,pv23) )
=> ( leq(n0,a_select2(sigma,pv23))
=> true ) )
& ( ( leq(pv5,n588)
& leq(n0,pv5) )
=> ( leq(pv5,n588)
& leq(n0,pv5) ) )
& ( ( leq(pv5,n588)
& leq(n0,pv5) )
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) ) ) )
& leq(pv5,minus(n1000,n1))
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,n7)
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,n7)
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) ) ) ) ) )
& leq(pv5,minus(n1000,n1))
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) ) ) )
& leq(pv5,minus(n1000,n1))
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,n7)
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,n7)
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) ) ) ) ) ) ) )
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ( leq(pv5,n588)
& leq(n0,pv5) )
=> true )
& ( ( leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
=> ( leq(pv5,n588)
& leq(n0,pv5) ) )
& ( ( leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
=> ( leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) ) )
& ( ( leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
=> ( ( pv31 = pv32
=> ( leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) ) )
& ( pv31 != pv32
=> ( leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) ) ) ) )
& ( ( leq(pv21,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5) )
=> ( leq(pv21,minus(n6,n1))
& leq(pv21,n5)
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5)
& leq(n0,n0) ) )
& ( true
=> ( leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n1000,n1))
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( true
=> true ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( geq(minus(n1000,n1),n0)
& geq(minus(n4,n1),n0) )
=> ! [A] :
( ( geq(minus(n1000,n1),n0)
& geq(n7,n0) )
=> ! [B] :
( ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n1000,n1),n0)
& geq(minus(n4,n1),n0) )
=> true ) ) )
& ( ( leq(pv23,minus(n6,n1))
& leq(n0,pv23) )
=> ( leq(n0,a_select2(sigma,pv23))
=> true ) )
& ( ( leq(pv5,n588)
& leq(n0,pv5) )
=> ( leq(pv5,n588)
& leq(n0,pv5) ) )
& ( ( leq(pv5,n588)
& leq(n0,pv5) )
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) ) ) )
& leq(pv5,minus(n1000,n1))
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,n7)
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,n7)
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) ) ) ) ) )
& leq(pv5,minus(n1000,n1))
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) ) ) )
& leq(pv5,minus(n1000,n1))
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,n7)
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,n7)
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( ( gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ~ gt(pv5,n0)
=> ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) ) ) ) ) ) ) )
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( ( leq(pv5,n588)
& leq(n0,pv5) )
=> true )
& ( ( leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
=> ( leq(pv5,n588)
& leq(n0,pv5) ) )
& ( ( leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
=> ( leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) ) )
& ( ( leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
=> ( ( pv31 = pv32
=> ( leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) ) )
& ( pv31 != pv32
=> ( leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) ) ) ) )
& ( ( leq(pv21,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5) )
=> ( leq(pv21,minus(n6,n1))
& leq(pv21,n5)
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5)
& leq(n0,n0) ) )
& ( true
=> ( leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n1000,n1))
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) ) )
& ( true
=> true ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,axiom,
gt(n1000,n588),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
gt(n588,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
gt(n6,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
gt(n7,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
gt(n1000,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,axiom,
gt(n588,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,axiom,
gt(n6,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,axiom,
gt(n7,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,axiom,
gt(n1000,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
gt(n588,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,axiom,
gt(n7,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
gt(n1000,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
gt(n588,n7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,axiom,
gt(n1000,n7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,axiom,
gt(n588,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,axiom,
gt(n6,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,axiom,
gt(n7,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,axiom,
gt(n1000,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f89,axiom,
gt(n588,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f90,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,axiom,
gt(n6,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,axiom,
gt(n7,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,axiom,
gt(n1000,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,axiom,
gt(n3,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,axiom,
gt(n588,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,axiom,
gt(n6,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,axiom,
gt(n7,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,axiom,
gt(n1000,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,axiom,
gt(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,axiom,
gt(n588,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f105,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f107,axiom,
gt(n6,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f108,axiom,
gt(n7,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f109,axiom,
gt(n1000,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f110,axiom,
! [X] :
( ( leq(X,n4)
& leq(n0,X) )
=> ( X = n4
| X = n3
| X = n2
| X = n1
| X = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f111,axiom,
! [X] :
( ( leq(X,n5)
& leq(n0,X) )
=> ( X = n5
| X = n4
| X = n3
| X = n2
| X = n1
| X = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,axiom,
! [X] :
( ( leq(X,n6)
& leq(n0,X) )
=> ( X = n6
| X = n5
| X = n4
| X = n3
| X = n2
| X = n1
| X = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,axiom,
! [X] :
( ( leq(X,n0)
& leq(n0,X) )
=> X = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,axiom,
! [X] :
( ( leq(X,n1)
& leq(n0,X) )
=> ( X = n1
| X = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,axiom,
! [X] :
( ( leq(X,n2)
& leq(n0,X) )
=> ( X = n2
| X = n1
| X = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f116,axiom,
! [X] :
( ( leq(X,n3)
& leq(n0,X) )
=> ( X = n3
| X = n2
| X = n1
| X = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f117,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f118,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f119,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f120,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f121,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f123,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f124,plain,
! [X,Y,Z] :
( gt(X,Z)
| ~ gt(Y,Z)
| ~ gt(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f125,plain,
! [X,Z] :
( gt(X,Z)
| ! [Y] :
( ~ gt(Y,Z)
| ~ gt(X,Y) ) ),
inference(miniscoping,[status(thm)],[f124]) ).
fof(f126,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f127,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f128,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f130,plain,
! [X,Z] :
( leq(X,Z)
| ! [Y] :
( ~ leq(Y,Z)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f129]) ).
fof(f131,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f136,plain,
! [X,Y] :
( ( ~ leq(Y,X)
| geq(X,Y) )
& ( leq(Y,X)
| ~ geq(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f137,plain,
( ! [X,Y] :
( ~ leq(Y,X)
| geq(X,Y) )
& ! [X,Y] :
( leq(Y,X)
| ~ geq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f136]) ).
fof(f138,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f139,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| geq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f140,plain,
! [X,Y] :
( leq(X,Y)
| ~ gt(Y,X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f141,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
! [X,Y] :
( gt(Y,X)
| X = Y
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f143,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f144,plain,
! [X,Y] :
( ( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f145,plain,
( ! [X,Y] :
( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ! [X,Y] :
( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(miniscoping,[status(thm)],[f144]) ).
fof(f146,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f148,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f149,plain,
! [X,Y] :
( leq(X,succ(Y))
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f150,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
! [X,Y] :
( ( ~ gt(succ(Y),X)
| leq(X,Y) )
& ( gt(succ(Y),X)
| ~ leq(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f152,plain,
( ! [X,Y] :
( ~ gt(succ(Y),X)
| leq(X,Y) )
& ! [X,Y] :
( gt(succ(Y),X)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f151]) ).
fof(f153,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f155,plain,
! [X,C] :
( leq(uniform_int_rnd(C,X),X)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f156,plain,
! [X] :
( ! [C] : leq(uniform_int_rnd(C,X),X)
| ~ leq(n0,X) ),
inference(miniscoping,[status(thm)],[f155]) ).
fof(f157,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
! [X,C] :
( leq(n0,uniform_int_rnd(C,X))
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f159,plain,
! [X] :
( ! [C] : leq(n0,uniform_int_rnd(C,X))
| ~ leq(n0,X) ),
inference(miniscoping,[status(thm)],[f158]) ).
fof(f160,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f235,plain,
succ(tptp_minus_1) = n0,
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f236,plain,
! [X0] : plus(X0,n1) = succ(X0),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f237,plain,
! [X0] : plus(n1,X0) = succ(X0),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f240,plain,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f241,plain,
! [X0] : plus(n3,X0) = succ(succ(succ(X0))),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f242,plain,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f243,plain,
! [X0] : plus(n4,X0) = succ(succ(succ(succ(X0)))),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f244,plain,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f245,plain,
! [X0] : plus(n5,X0) = succ(succ(succ(succ(succ(X0))))),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f246,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f247,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f248,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f278,plain,
true,
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f280,plain,
( ? [A] :
( ? [B] :
( ( ~ true
& geq(minus(n1000,n1),n0)
& geq(minus(n4,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n6,n1),n0) )
| ( ~ true
& leq(n0,a_select2(sigma,pv23))
& leq(pv23,minus(n6,n1))
& leq(n0,pv23) )
| ( ( ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& leq(pv5,n588)
& leq(n0,pv5) )
| ( ( ( ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& leq(pv5,n588)
& leq(n0,pv5) )
| ( ~ true
& leq(pv5,n588)
& leq(n0,pv5) )
| ( ( ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 = pv32 )
| ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 != pv32 ) )
& leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv21,minus(n6,n1))
| ~ leq(pv21,n5)
| ~ leq(pv5,n588)
| ~ leq(n0,pv21)
| ~ leq(n0,pv5)
| ~ leq(n0,n0) )
& leq(pv21,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5) )
| ( ( ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n1000,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& true )
| ( ~ true
& true ) )
& geq(minus(n1000,n1),n0)
& geq(n7,n0) )
& geq(minus(n1000,n1),n0)
& geq(minus(n4,n1),n0) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f281,definition,
( sP3_prd
<=> ( ( ~ true
& leq(n0,a_select2(sigma,pv23))
& leq(pv23,minus(n6,n1))
& leq(n0,pv23) )
| ( ( ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& leq(pv5,n588)
& leq(n0,pv5) )
| ( ( ( ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& leq(pv5,n588)
& leq(n0,pv5) )
| ( ~ true
& leq(pv5,n588)
& leq(n0,pv5) )
| ( ( ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 = pv32 )
| ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 != pv32 ) )
& leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv21,minus(n6,n1))
| ~ leq(pv21,n5)
| ~ leq(pv5,n588)
| ~ leq(n0,pv21)
| ~ leq(n0,pv5)
| ~ leq(n0,n0) )
& leq(pv21,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5) )
| ( ( ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n1000,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& true )
| ( ~ true
& true ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f282,plain,
( ? [A] :
( ? [B] :
( ( ~ true
& geq(minus(n1000,n1),n0)
& geq(minus(n4,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n6,n1),n0) )
| sP3_prd )
& geq(minus(n1000,n1),n0)
& geq(n7,n0) )
& geq(minus(n1000,n1),n0)
& geq(minus(n4,n1),n0) ),
inference(formula_renaming,[status(thm)],[f280,f281]) ).
fof(f283,plain,
geq(minus(n4,n1),n0),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f284,plain,
geq(minus(n1000,n1),n0),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f285,plain,
geq(n7,n0),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f291,plain,
( ~ true
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f292,plain,
gt(n1000,n588),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f293,plain,
gt(n588,n4),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f294,plain,
gt(n5,n4),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f295,plain,
gt(n6,n4),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f296,plain,
gt(n7,n4),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f297,plain,
gt(n1000,n4),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f298,plain,
gt(n588,n5),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f299,plain,
gt(n6,n5),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f300,plain,
gt(n7,n5),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f301,plain,
gt(n1000,n5),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f302,plain,
gt(n588,n6),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f303,plain,
gt(n7,n6),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f304,plain,
gt(n1000,n6),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f305,plain,
gt(n588,n7),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f306,plain,
gt(n1000,n7),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f317,plain,
gt(n588,n0),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f318,plain,
gt(n4,n0),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f319,plain,
gt(n5,n0),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f320,plain,
gt(n6,n0),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f321,plain,
gt(n7,n0),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f322,plain,
gt(n1,n0),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f323,plain,
gt(n2,n0),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f324,plain,
gt(n1000,n0),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f325,plain,
gt(n3,n0),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f326,plain,
gt(n588,n1),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f327,plain,
gt(n4,n1),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f328,plain,
gt(n5,n1),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f329,plain,
gt(n6,n1),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f330,plain,
gt(n7,n1),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f331,plain,
gt(n2,n1),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f332,plain,
gt(n1000,n1),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f333,plain,
gt(n3,n1),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f334,plain,
gt(n588,n2),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f335,plain,
gt(n4,n2),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f336,plain,
gt(n5,n2),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f337,plain,
gt(n6,n2),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f338,plain,
gt(n7,n2),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f339,plain,
gt(n1000,n2),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f340,plain,
gt(n3,n2),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f341,plain,
gt(n588,n3),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f342,plain,
gt(n4,n3),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f343,plain,
gt(n5,n3),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f344,plain,
gt(n6,n3),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f345,plain,
gt(n7,n3),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f346,plain,
gt(n1000,n3),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f347,plain,
! [X] :
( X = n4
| X = n3
| X = n2
| X = n1
| X = n0
| ~ leq(X,n4)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f110]) ).
fof(f348,plain,
! [X0] :
( X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f349,plain,
! [X] :
( X = n5
| X = n4
| X = n3
| X = n2
| X = n1
| X = n0
| ~ leq(X,n5)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f111]) ).
fof(f350,plain,
! [X0] :
( X0 = n5
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f351,plain,
! [X] :
( X = n6
| X = n5
| X = n4
| X = n3
| X = n2
| X = n1
| X = n0
| ~ leq(X,n6)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f112]) ).
fof(f352,plain,
! [X0] :
( X0 = n6
| X0 = n5
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n6)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f353,plain,
! [X] :
( X = n0
| ~ leq(X,n0)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f113]) ).
fof(f354,plain,
! [X0] :
( X0 = n0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f355,plain,
! [X] :
( X = n1
| X = n0
| ~ leq(X,n1)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f114]) ).
fof(f356,plain,
! [X0] :
( X0 = n1
| X0 = n0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f357,plain,
! [X] :
( X = n2
| X = n1
| X = n0
| ~ leq(X,n2)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f115]) ).
fof(f358,plain,
! [X0] :
( X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f359,plain,
! [X] :
( X = n3
| X = n2
| X = n1
| X = n0
| ~ leq(X,n3)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f116]) ).
fof(f360,plain,
! [X0] :
( X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f359]) ).
fof(f361,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f362,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f363,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f364,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f365,plain,
succ(succ(n0)) = n2,
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f395,definition,
( sP5_prd
<=> ( ( ( ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& leq(pv5,n588)
& leq(n0,pv5) )
| ( ( ( ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& leq(pv5,n588)
& leq(n0,pv5) )
| ( ~ true
& leq(pv5,n588)
& leq(n0,pv5) )
| ( ( ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 = pv32 )
| ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 != pv32 ) )
& leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv21,minus(n6,n1))
| ~ leq(pv21,n5)
| ~ leq(pv5,n588)
| ~ leq(n0,pv21)
| ~ leq(n0,pv5)
| ~ leq(n0,n0) )
& leq(pv21,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5) )
| ( ( ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n1000,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& true )
| ( ~ true
& true ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f396,plain,
( sP3_prd
<=> ( ( ~ true
& leq(n0,a_select2(sigma,pv23))
& leq(pv23,minus(n6,n1))
& leq(n0,pv23) )
| sP5_prd ) ),
inference(formula_renaming,[status(thm)],[f281,f395]) ).
fof(f397,plain,
( ( ( ( true
| ~ leq(n0,a_select2(sigma,pv23))
| ~ leq(pv23,minus(n6,n1))
| ~ leq(n0,pv23) )
& ~ sP5_prd )
| sP3_prd )
& ( ( ~ true
& leq(n0,a_select2(sigma,pv23))
& leq(pv23,minus(n6,n1))
& leq(n0,pv23) )
| sP5_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f396]) ).
fof(f401,plain,
( ~ true
| sP5_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f397]) ).
fof(f412,definition,
( sP6_prd
<=> ( ( ( ( ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& leq(pv5,n588)
& leq(n0,pv5) )
| ( ~ true
& leq(pv5,n588)
& leq(n0,pv5) )
| ( ( ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 = pv32 )
| ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 != pv32 ) )
& leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv21,minus(n6,n1))
| ~ leq(pv21,n5)
| ~ leq(pv5,n588)
| ~ leq(n0,pv21)
| ~ leq(n0,pv5)
| ~ leq(n0,n0) )
& leq(pv21,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5) )
| ( ( ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n1000,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& true )
| ( ~ true
& true ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f413,plain,
( sP5_prd
<=> ( ( ( ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& leq(pv5,n588)
& leq(n0,pv5) )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f395,f412]) ).
fof(f414,plain,
( ( ( ( ( leq(pv5,n588)
& leq(n0,pv5) )
| ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& ~ sP6_prd )
| sP5_prd )
& ( ( ( ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& leq(pv5,n588)
& leq(n0,pv5) )
| sP6_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f413]) ).
fof(f415,plain,
( leq(n0,pv5)
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f414]) ).
fof(f416,plain,
( leq(pv5,n588)
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f414]) ).
fof(f417,plain,
( ~ leq(pv5,n588)
| ~ leq(n0,pv5)
| sP6_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f414]) ).
fof(f421,definition,
( sP7_prd
<=> ( ( ~ true
& leq(pv5,n588)
& leq(n0,pv5) )
| ( ( ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 = pv32 )
| ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 != pv32 ) )
& leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv21,minus(n6,n1))
| ~ leq(pv21,n5)
| ~ leq(pv5,n588)
| ~ leq(n0,pv21)
| ~ leq(n0,pv5)
| ~ leq(n0,n0) )
& leq(pv21,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5) )
| ( ( ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n1000,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& true )
| ( ~ true
& true ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f422,plain,
( sP6_prd
<=> ( ( ( ( ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& leq(pv5,n588)
& leq(n0,pv5) )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f412,f421]) ).
fof(f423,definition,
( sP8_prd
<=> ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f424,definition,
( sP9_prd
<=> ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f425,definition,
( sP10_prd
<=> ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f426,plain,
( sP6_prd
<=> ( ( ( ( ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( sP10_prd
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( sP9_prd
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( sP8_prd
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& leq(pv5,n588)
& leq(n0,pv5) )
| sP7_prd ) ),
inference(formula_renaming,[status(thm)],[f422,f425,f424,f423]) ).
fof(f427,plain,
( ( ( ( ( ( ( ( ( ( ( ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| gt(pv5,n0) )
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ( ~ sP10_prd
| gt(pv5,n0) )
& leq(pv5,minus(n1000,n1))
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,n7)
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,n7)
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ( ~ sP9_prd
| gt(pv5,n0) )
& leq(pv5,minus(n1000,n1))
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ( ~ sP8_prd
| gt(pv5,n0) )
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& ~ sP7_prd )
| sP6_prd )
& ( ( ( ( ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( sP10_prd
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( sP9_prd
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( sP8_prd
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& leq(pv5,n588)
& leq(n0,pv5) )
| sP7_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f426]) ).
fof(f428,plain,
( leq(n0,pv5)
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f429,plain,
( leq(pv5,n588)
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f434,plain,
( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ gt(pv5,n0)
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ gt(pv5,n0)
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ gt(pv5,n0)
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ gt(pv5,n0)
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f453,plain,
( gt(pv5,n0)
| sP8_prd
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| sP7_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f427]) ).
fof(f596,definition,
( sP11_prd
<=> ( ( ( ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 = pv32 )
| ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 != pv32 ) )
& leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv21,minus(n6,n1))
| ~ leq(pv21,n5)
| ~ leq(pv5,n588)
| ~ leq(n0,pv21)
| ~ leq(n0,pv5)
| ~ leq(n0,n0) )
& leq(pv21,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5) )
| ( ( ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n1000,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& true )
| ( ~ true
& true ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f597,plain,
( sP7_prd
<=> ( ( ~ true
& leq(pv5,n588)
& leq(n0,pv5) )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f421,f596]) ).
fof(f598,plain,
( ( ( ( true
| ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& ~ sP11_prd )
| sP7_prd )
& ( ( ~ true
& leq(pv5,n588)
& leq(n0,pv5) )
| sP11_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f597]) ).
fof(f599,plain,
( leq(n0,pv5)
| sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f598]) ).
fof(f600,plain,
( leq(pv5,n588)
| sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f598]) ).
fof(f601,plain,
( ~ true
| sP11_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f598]) ).
fof(f604,definition,
( sP12_prd
<=> ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f605,definition,
( sP13_prd
<=> ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f606,definition,
( sP14_prd
<=> ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f607,plain,
( sP8_prd
<=> ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| sP14_prd
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| sP13_prd
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( sP12_prd
& ~ gt(pv5,n0) ) ) ),
inference(formula_renaming,[status(thm)],[f423,f606,f605,f604]) ).
fof(f608,plain,
( ( ( ( ( ( ( ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ~ sP14_prd
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ~ sP13_prd
& leq(pv5,minus(n1000,n1))
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,n7)
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,n7)
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ( ~ sP12_prd
| gt(pv5,n0) ) )
| sP8_prd )
& ( ( ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| sP14_prd
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| sP13_prd
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( sP12_prd
& ~ gt(pv5,n0) )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f607]) ).
fof(f612,plain,
( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| sP14_prd
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| sP13_prd
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,n7)
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,n7)
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ gt(pv5,n0)
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f613,plain,
( gt(pv5,n0)
| sP12_prd
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f636,plain,
( leq(pv5,minus(n1000,n1))
| ~ gt(pv5,n0)
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f675,plain,
( leq(pv5,n588)
| ~ gt(pv5,n0)
| ~ gt(pv5,n0)
| ~ gt(pv5,n0)
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f677,definition,
( sP15_prd
<=> ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f678,definition,
( sP16_prd
<=> ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f679,plain,
( sP9_prd
<=> ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| sP16_prd
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( sP15_prd
& ~ gt(pv5,n0) ) ) ),
inference(formula_renaming,[status(thm)],[f424,f678,f677]) ).
fof(f680,plain,
( ( ( ( ( ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ~ sP16_prd
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ( ~ sP15_prd
| gt(pv5,n0) ) )
| sP9_prd )
& ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| sP16_prd
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( sP15_prd
& ~ gt(pv5,n0) )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f679]) ).
fof(f683,plain,
( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| sP16_prd
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ gt(pv5,n0)
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f680]) ).
fof(f684,plain,
( gt(pv5,n0)
| sP15_prd
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f680]) ).
fof(f727,plain,
( ( ( ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| gt(pv5,n0) ) )
| sP10_prd )
& ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f425]) ).
fof(f730,plain,
( gt(pv5,n0)
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f727]) ).
fof(f731,plain,
( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f727]) ).
fof(f784,definition,
( sP17_prd
<=> ( ( ( ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 = pv32 )
| ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 != pv32 ) )
& leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv21,minus(n6,n1))
| ~ leq(pv21,n5)
| ~ leq(pv5,n588)
| ~ leq(n0,pv21)
| ~ leq(n0,pv5)
| ~ leq(n0,n0) )
& leq(pv21,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5) )
| ( ( ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n1000,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& true )
| ( ~ true
& true ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f785,plain,
( sP11_prd
<=> ( ( ( ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f596,f784]) ).
fof(f786,plain,
( ( ( ( ( leq(pv5,n588)
& leq(n0,pv5) )
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& ~ sP17_prd )
| sP11_prd )
& ( ( ( ~ leq(pv5,n588)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| sP17_prd
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f785]) ).
fof(f787,plain,
( leq(n0,pv5)
| sP17_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f786]) ).
fof(f789,plain,
( leq(pv5,n588)
| sP17_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f786]) ).
fof(f791,plain,
( ~ leq(pv5,n588)
| ~ leq(n0,pv5)
| sP17_prd
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f786]) ).
fof(f795,definition,
( sP18_prd
<=> ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f796,definition,
( sP19_prd
<=> ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f797,plain,
( sP12_prd
<=> ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| sP19_prd
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( sP18_prd
& ~ gt(pv5,n0) ) ) ),
inference(formula_renaming,[status(thm)],[f604,f796,f795]) ).
fof(f798,plain,
( ( ( ( ( ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ~ sP19_prd
& leq(pv5,minus(n1000,n1))
& leq(n3,minus(n4,n1))
& leq(n2,minus(n4,n1))
& leq(n1,minus(n4,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ( ~ sP18_prd
| gt(pv5,n0) ) )
| sP12_prd )
& ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| sP19_prd
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( sP18_prd
& ~ gt(pv5,n0) )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f797]) ).
fof(f801,plain,
( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| sP19_prd
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ gt(pv5,n0)
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f798]) ).
fof(f802,plain,
( gt(pv5,n0)
| sP18_prd
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f798]) ).
fof(f845,plain,
( ( ( ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| gt(pv5,n0) ) )
| gt(pv5,n0)
| sP13_prd )
& ( ( ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) ) )
& ~ gt(pv5,n0) )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f605]) ).
fof(f846,plain,
( ~ gt(pv5,n0)
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f845]) ).
fof(f849,plain,
( gt(pv5,n0)
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f845]) ).
fof(f903,plain,
( ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| gt(pv5,n0)
| sP14_prd )
& ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f606]) ).
fof(f904,plain,
( ~ gt(pv5,n0)
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f903]) ).
fof(f905,plain,
( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f903]) ).
fof(f930,plain,
( ( ( ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| gt(pv5,n0) ) )
| sP15_prd )
& ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f677]) ).
fof(f933,plain,
( gt(pv5,n0)
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f930]) ).
fof(f934,plain,
( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f930]) ).
fof(f987,plain,
( ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| gt(pv5,n0)
| sP16_prd )
& ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f678]) ).
fof(f988,plain,
( ~ gt(pv5,n0)
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f987]) ).
fof(f989,plain,
( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f987]) ).
fof(f1014,definition,
( sP20_prd
<=> ( ( ( ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 = pv32 )
| ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 != pv32 ) )
& leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
| ( ( ~ leq(pv21,minus(n6,n1))
| ~ leq(pv21,n5)
| ~ leq(pv5,n588)
| ~ leq(n0,pv21)
| ~ leq(n0,pv5)
| ~ leq(n0,n0) )
& leq(pv21,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5) )
| ( ( ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n1000,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& true )
| ( ~ true
& true ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f1015,plain,
( sP17_prd
<=> ( ( ( ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f784,f1014]) ).
fof(f1016,plain,
( ( ( ( ( leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& ~ sP20_prd )
| sP17_prd )
& ( ( ( ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv31)
& leq(n0,pv5) )
| sP20_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f1015]) ).
fof(f1017,plain,
( leq(n0,pv5)
| sP20_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f1016]) ).
fof(f1018,plain,
( leq(n0,pv31)
| sP20_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f1016]) ).
fof(f1019,plain,
( leq(pv5,n588)
| sP20_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f1016]) ).
fof(f1020,plain,
( leq(pv31,minus(n6,n1))
| sP20_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f1016]) ).
fof(f1021,plain,
( ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5)
| sP20_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f1016]) ).
fof(f1027,plain,
( ( ( ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ gt(pv5,n0) )
& ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| gt(pv5,n0) ) )
| sP18_prd )
& ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& gt(pv5,n0) )
| ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f795]) ).
fof(f1030,plain,
( gt(pv5,n0)
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f1027]) ).
fof(f1031,plain,
( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f1027]) ).
fof(f1084,plain,
( ( ( leq(pv5,minus(n1000,n1))
& leq(pv5,n588)
& leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,n7)
& leq(n0,minus(n6,n1))
& leq(n0,pv5)
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| gt(pv5,n0)
| sP19_prd )
& ( ( ( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& ~ gt(pv5,n0) )
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f796]) ).
fof(f1085,plain,
( ~ gt(pv5,n0)
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f1084]) ).
fof(f1086,plain,
( ~ leq(pv5,minus(n1000,n1))
| ~ leq(pv5,n588)
| ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f1084]) ).
fof(f1111,definition,
( sP21_prd
<=> ( ( ( ~ leq(pv21,minus(n6,n1))
| ~ leq(pv21,n5)
| ~ leq(pv5,n588)
| ~ leq(n0,pv21)
| ~ leq(n0,pv5)
| ~ leq(n0,n0) )
& leq(pv21,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5) )
| ( ( ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n1000,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& true )
| ( ~ true
& true ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f1112,plain,
( sP20_prd
<=> ( ( ( ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 = pv32 )
| ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 != pv32 ) )
& leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f1014,f1111]) ).
fof(f1113,plain,
( ( ( ( ( ( ( leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
| pv31 != pv32 )
& ( ( leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
| pv31 = pv32 ) )
| ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& ~ sP21_prd )
| sP20_prd )
& ( ( ( ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 = pv32 )
| ( ( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5) )
& pv31 != pv32 ) )
& leq(pv32,minus(n6,n1))
& leq(pv31,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv32)
& leq(n0,pv31)
& leq(n0,pv5) )
| sP21_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f1112]) ).
fof(f1114,plain,
( leq(n0,pv5)
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f1113]) ).
fof(f1115,plain,
( leq(n0,pv31)
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f1113]) ).
fof(f1116,plain,
( leq(n0,pv32)
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f1113]) ).
fof(f1117,plain,
( leq(pv5,n588)
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f1113]) ).
fof(f1118,plain,
( leq(pv31,minus(n6,n1))
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f1113]) ).
fof(f1119,plain,
( leq(pv32,minus(n6,n1))
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f1113]) ).
fof(f1123,plain,
( ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5)
| ~ leq(pv32,minus(n6,n1))
| ~ leq(pv31,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv32)
| ~ leq(n0,pv31)
| ~ leq(n0,pv5)
| sP21_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f1113]) ).
fof(f1137,definition,
( sP22_prd
<=> ( ( ( ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n1000,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& true )
| ( ~ true
& true ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f1138,plain,
( sP21_prd
<=> ( ( ( ~ leq(pv21,minus(n6,n1))
| ~ leq(pv21,n5)
| ~ leq(pv5,n588)
| ~ leq(n0,pv21)
| ~ leq(n0,pv5)
| ~ leq(n0,n0) )
& leq(pv21,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5) )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f1111,f1137]) ).
fof(f1139,plain,
( ( ( ( ( leq(pv21,minus(n6,n1))
& leq(pv21,n5)
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5)
& leq(n0,n0) )
| ~ leq(pv21,minus(n6,n1))
| ~ leq(pv5,n588)
| ~ leq(n0,pv21)
| ~ leq(n0,pv5) )
& ~ sP22_prd )
| sP21_prd )
& ( ( ( ~ leq(pv21,minus(n6,n1))
| ~ leq(pv21,n5)
| ~ leq(pv5,n588)
| ~ leq(n0,pv21)
| ~ leq(n0,pv5)
| ~ leq(n0,n0) )
& leq(pv21,minus(n6,n1))
& leq(pv5,n588)
& leq(n0,pv21)
& leq(n0,pv5) )
| sP22_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f1138]) ).
fof(f1140,plain,
( leq(n0,pv5)
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f1139]) ).
fof(f1141,plain,
( leq(n0,pv21)
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f1139]) ).
fof(f1142,plain,
( leq(pv5,n588)
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f1139]) ).
fof(f1143,plain,
( leq(pv21,minus(n6,n1))
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f1139]) ).
fof(f1144,plain,
( ~ leq(pv21,minus(n6,n1))
| ~ leq(pv21,n5)
| ~ leq(pv5,n588)
| ~ leq(n0,pv21)
| ~ leq(n0,pv5)
| ~ leq(n0,n0)
| sP22_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f1139]) ).
fof(f1152,plain,
( ( ( ( ( leq(n7,n7)
& leq(n6,n7)
& leq(n5,minus(n6,n1))
& leq(n5,n7)
& leq(n4,minus(n6,n1))
& leq(n4,n7)
& leq(n3,minus(n6,n1))
& leq(n3,minus(n4,n1))
& leq(n3,n7)
& leq(n2,minus(n6,n1))
& leq(n2,minus(n4,n1))
& leq(n2,n7)
& leq(n1,minus(n6,n1))
& leq(n1,minus(n4,n1))
& leq(n1,n7)
& leq(n0,minus(n1000,n1))
& leq(n0,minus(n6,n1))
& leq(n0,minus(n4,n1))
& leq(n0,n7)
& leq(n0,n6)
& leq(n0,n5)
& leq(n0,n4)
& leq(n0,n3)
& leq(n0,n2)
& leq(n0,n1)
& leq(n0,n0) )
| ~ true )
& ( true
| ~ true ) )
| sP22_prd )
& ( ( ( ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n1000,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0) )
& true )
| ( ~ true
& true )
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f1137]) ).
fof(f1156,plain,
( ~ leq(n7,n7)
| ~ leq(n6,n7)
| ~ leq(n5,minus(n6,n1))
| ~ leq(n5,n7)
| ~ leq(n4,minus(n6,n1))
| ~ leq(n4,n7)
| ~ leq(n3,minus(n6,n1))
| ~ leq(n3,minus(n4,n1))
| ~ leq(n3,n7)
| ~ leq(n2,minus(n6,n1))
| ~ leq(n2,minus(n4,n1))
| ~ leq(n2,n7)
| ~ leq(n1,minus(n6,n1))
| ~ leq(n1,minus(n4,n1))
| ~ leq(n1,n7)
| ~ leq(n0,minus(n1000,n1))
| ~ leq(n0,minus(n6,n1))
| ~ leq(n0,minus(n4,n1))
| ~ leq(n0,n7)
| ~ leq(n0,n6)
| ~ leq(n0,n5)
| ~ leq(n0,n4)
| ~ leq(n0,n3)
| ~ leq(n0,n2)
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ true
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f1152]) ).
fof(f1184,definition,
( sQ0_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1200,definition,
( sQ4_spl
<=> true ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( sQ4_spl
| ~ true ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1203,plain,
( ~ sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f291,f1184,f1200]) ).
fof(f1204,definition,
( sQ5_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1219,plain,
( ~ sQ4_spl
| sQ5_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f401,f1184,f1204,f1200]) ).
fof(f1222,definition,
( sQ9_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1225,definition,
( sQ10_spl
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1226,plain,
( ~ sQ10_spl
| leq(n0,pv5) ),
inference(component_clause,[status(thm)],[f1225]) ).
fof(f1228,plain,
( sQ10_spl
| sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f415,f1204,f1222,f1225]) ).
fof(f1229,definition,
( sQ11_spl
<=> leq(pv5,n588) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1230,plain,
( ~ sQ11_spl
| leq(pv5,n588) ),
inference(component_clause,[status(thm)],[f1229]) ).
fof(f1231,plain,
( sQ11_spl
| ~ leq(pv5,n588) ),
inference(component_clause,[status(thm)],[f1229]) ).
fof(f1232,plain,
( sQ11_spl
| sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f416,f1204,f1222,f1229]) ).
fof(f1233,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f417,f1204,f1222,f1225,f1229]) ).
fof(f1237,definition,
( sQ12_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1240,plain,
( sQ10_spl
| sQ12_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f428,f1222,f1237,f1225]) ).
fof(f1241,plain,
( sQ11_spl
| sQ12_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f429,f1222,f1237,f1229]) ).
fof(f1242,definition,
( sQ13_spl
<=> leq(n0,n0) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1244,plain,
( sQ13_spl
| ~ leq(n0,n0) ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1245,definition,
( sQ14_spl
<=> leq(n0,n1) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1246,plain,
( ~ sQ14_spl
| leq(n0,n1) ),
inference(component_clause,[status(thm)],[f1245]) ).
fof(f1247,plain,
( sQ14_spl
| ~ leq(n0,n1) ),
inference(component_clause,[status(thm)],[f1245]) ).
fof(f1248,definition,
( sQ15_spl
<=> leq(n0,n2) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( sQ15_spl
| ~ leq(n0,n2) ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1251,definition,
( sQ16_spl
<=> leq(n0,n3) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1253,plain,
( sQ16_spl
| ~ leq(n0,n3) ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1254,definition,
( sQ17_spl
<=> leq(n0,minus(n4,n1)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1256,plain,
( sQ17_spl
| ~ leq(n0,minus(n4,n1)) ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1257,definition,
( sQ18_spl
<=> leq(n0,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1258,plain,
( ~ sQ18_spl
| leq(n0,minus(n6,n1)) ),
inference(component_clause,[status(thm)],[f1257]) ).
fof(f1259,plain,
( sQ18_spl
| ~ leq(n0,minus(n6,n1)) ),
inference(component_clause,[status(thm)],[f1257]) ).
fof(f1260,definition,
( sQ19_spl
<=> leq(n1,minus(n4,n1)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1261,plain,
( ~ sQ19_spl
| leq(n1,minus(n4,n1)) ),
inference(component_clause,[status(thm)],[f1260]) ).
fof(f1262,plain,
( sQ19_spl
| ~ leq(n1,minus(n4,n1)) ),
inference(component_clause,[status(thm)],[f1260]) ).
fof(f1263,definition,
( sQ20_spl
<=> leq(n1,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1265,plain,
( sQ20_spl
| ~ leq(n1,minus(n6,n1)) ),
inference(component_clause,[status(thm)],[f1263]) ).
fof(f1266,definition,
( sQ21_spl
<=> leq(n2,minus(n4,n1)) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1268,plain,
( sQ21_spl
| ~ leq(n2,minus(n4,n1)) ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1269,definition,
( sQ22_spl
<=> leq(n2,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1271,plain,
( sQ22_spl
| ~ leq(n2,minus(n6,n1)) ),
inference(component_clause,[status(thm)],[f1269]) ).
fof(f1272,definition,
( sQ23_spl
<=> leq(n3,minus(n4,n1)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1274,plain,
( sQ23_spl
| ~ leq(n3,minus(n4,n1)) ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1275,definition,
( sQ24_spl
<=> leq(pv5,minus(n1000,n1)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1276,plain,
( ~ sQ24_spl
| leq(pv5,minus(n1000,n1)) ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1277,plain,
( sQ24_spl
| ~ leq(pv5,minus(n1000,n1)) ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1278,definition,
( sQ25_spl
<=> gt(pv5,n0) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1282,definition,
( sQ26_spl
<=> leq(n0,n4) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1284,plain,
( sQ26_spl
| ~ leq(n0,n4) ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1285,definition,
( sQ27_spl
<=> leq(n0,n5) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1287,plain,
( sQ27_spl
| ~ leq(n0,n5) ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,definition,
( sQ28_spl
<=> leq(n0,n6) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1290,plain,
( sQ28_spl
| ~ leq(n0,n6) ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,definition,
( sQ29_spl
<=> leq(n0,n7) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
( sQ29_spl
| ~ leq(n0,n7) ),
inference(component_clause,[status(thm)],[f1291]) ).
fof(f1294,definition,
( sQ30_spl
<=> leq(n1,n7) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1296,plain,
( sQ30_spl
| ~ leq(n1,n7) ),
inference(component_clause,[status(thm)],[f1294]) ).
fof(f1297,definition,
( sQ31_spl
<=> leq(n2,n7) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1299,plain,
( sQ31_spl
| ~ leq(n2,n7) ),
inference(component_clause,[status(thm)],[f1297]) ).
fof(f1300,definition,
( sQ32_spl
<=> leq(n3,n7) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1302,plain,
( sQ32_spl
| ~ leq(n3,n7) ),
inference(component_clause,[status(thm)],[f1300]) ).
fof(f1303,definition,
( sQ33_spl
<=> leq(n4,n7) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1305,plain,
( sQ33_spl
| ~ leq(n4,n7) ),
inference(component_clause,[status(thm)],[f1303]) ).
fof(f1306,definition,
( sQ34_spl
<=> leq(n4,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1307,plain,
( ~ sQ34_spl
| leq(n4,minus(n6,n1)) ),
inference(component_clause,[status(thm)],[f1306]) ).
fof(f1308,plain,
( sQ34_spl
| ~ leq(n4,minus(n6,n1)) ),
inference(component_clause,[status(thm)],[f1306]) ).
fof(f1309,definition,
( sQ35_spl
<=> leq(n5,n7) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1311,plain,
( sQ35_spl
| ~ leq(n5,n7) ),
inference(component_clause,[status(thm)],[f1309]) ).
fof(f1312,definition,
( sQ36_spl
<=> leq(n5,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1314,plain,
( sQ36_spl
| ~ leq(n5,minus(n6,n1)) ),
inference(component_clause,[status(thm)],[f1312]) ).
fof(f1315,definition,
( sQ37_spl
<=> leq(n6,n7) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1317,plain,
( sQ37_spl
| ~ leq(n6,n7) ),
inference(component_clause,[status(thm)],[f1315]) ).
fof(f1318,definition,
( sQ38_spl
<=> leq(n7,n7) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1320,plain,
( sQ38_spl
| ~ leq(n7,n7) ),
inference(component_clause,[status(thm)],[f1318]) ).
fof(f1322,definition,
( sQ39_spl
<=> leq(n3,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1324,plain,
( sQ39_spl
| ~ leq(n3,minus(n6,n1)) ),
inference(component_clause,[status(thm)],[f1322]) ).
fof(f1327,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ21_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| sQ12_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f434,f1222,f1237,f1242,f1245,f1248,f1251,f1225,f1254,f1257,f1260,f1263,f1266,f1269,f1272,f1275,f1278,f1282,f1285,f1288,f1291,f1294,f1297,f1300,f1303,f1306,f1309,f1312,f1315,f1318,f1322,f1229]) ).
fof(f1330,definition,
( sQ40_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1338,definition,
( sQ41_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1352,definition,
( sQ42_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1355,plain,
( sQ25_spl
| sQ42_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ21_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| sQ12_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f453,f1222,f1237,f1242,f1245,f1248,f1251,f1225,f1254,f1257,f1260,f1263,f1266,f1269,f1272,f1275,f1352,f1278]) ).
fof(f1498,definition,
( sQ43_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1501,plain,
( sQ10_spl
| sQ43_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f599,f1237,f1498,f1225]) ).
fof(f1502,plain,
( sQ11_spl
| sQ43_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f600,f1237,f1498,f1229]) ).
fof(f1503,plain,
( ~ sQ4_spl
| sQ43_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f601,f1237,f1498,f1200]) ).
fof(f1507,definition,
( sQ44_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1511,definition,
( sQ45_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( ~ sQ11_spl
| ~ sQ36_spl
| ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ20_spl
| sQ45_spl
| ~ sQ23_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ17_spl
| sQ44_spl
| ~ sQ24_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ35_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f612,f1352,f1278,f1242,f1245,f1248,f1251,f1282,f1285,f1288,f1291,f1225,f1257,f1294,f1297,f1300,f1322,f1303,f1309,f1315,f1318,f1275,f1507,f1254,f1260,f1266,f1272,f1511,f1263,f1269,f1306,f1312,f1229]) ).
fof(f1516,definition,
( sQ46_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1519,plain,
( sQ25_spl
| sQ46_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f613,f1352,f1516,f1278]) ).
fof(f1542,plain,
( sQ24_spl
| ~ sQ25_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f636,f1352,f1278,f1275]) ).
fof(f1581,plain,
( sQ11_spl
| ~ sQ25_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f675,f1352,f1278,f1229]) ).
fof(f1584,definition,
( sQ47_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1588,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ30_spl
| ~ sQ18_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| sQ47_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ17_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f683,f1338,f1278,f1242,f1245,f1248,f1251,f1225,f1254,f1260,f1266,f1272,f1275,f1584,f1282,f1285,f1288,f1291,f1257,f1294,f1263,f1297,f1269,f1300,f1322,f1303,f1306,f1309,f1312,f1315,f1318,f1229]) ).
fof(f1589,definition,
( sQ48_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1592,plain,
( sQ25_spl
| sQ48_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f684,f1338,f1589,f1278]) ).
fof(f1637,plain,
( sQ25_spl
| ~ sQ24_spl
| ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ30_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f730,f1330,f1242,f1245,f1248,f1251,f1282,f1285,f1288,f1291,f1225,f1257,f1294,f1263,f1297,f1269,f1300,f1322,f1303,f1306,f1309,f1312,f1315,f1318,f1229,f1275,f1278]) ).
fof(f1638,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ17_spl
| ~ sQ24_spl
| ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ30_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f731,f1330,f1242,f1245,f1248,f1251,f1282,f1285,f1288,f1291,f1225,f1257,f1294,f1263,f1297,f1269,f1300,f1322,f1303,f1306,f1309,f1312,f1315,f1318,f1229,f1275,f1254,f1260,f1266,f1272]) ).
fof(f1691,definition,
( sQ49_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1694,plain,
( sQ10_spl
| sQ49_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f787,f1498,f1691,f1225]) ).
fof(f1695,definition,
( sQ50_spl
<=> leq(n0,pv31) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1699,plain,
( sQ11_spl
| sQ49_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f789,f1498,f1691,f1229]) ).
fof(f1700,definition,
( sQ51_spl
<=> leq(pv31,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1704,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| sQ49_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f791,f1498,f1691,f1225,f1229]) ).
fof(f1709,definition,
( sQ52_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1713,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ30_spl
| ~ sQ18_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| sQ52_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ17_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f801,f1516,f1278,f1242,f1245,f1248,f1251,f1225,f1254,f1260,f1266,f1272,f1275,f1709,f1282,f1285,f1288,f1291,f1257,f1294,f1263,f1297,f1269,f1300,f1322,f1303,f1306,f1309,f1312,f1315,f1318,f1229]) ).
fof(f1714,definition,
( sQ53_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1717,plain,
( sQ25_spl
| sQ53_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f802,f1516,f1714,f1278]) ).
fof(f1760,plain,
( ~ sQ25_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f846,f1507,f1278]) ).
fof(f1763,plain,
( sQ25_spl
| ~ sQ24_spl
| ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ30_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f849,f1507,f1242,f1245,f1248,f1251,f1282,f1285,f1288,f1291,f1225,f1257,f1294,f1263,f1297,f1269,f1300,f1322,f1303,f1306,f1309,f1312,f1315,f1318,f1229,f1275,f1278]) ).
fof(f1817,plain,
( ~ sQ25_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f904,f1511,f1278]) ).
fof(f1818,plain,
( ~ sQ24_spl
| ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ30_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f905,f1511,f1242,f1245,f1248,f1251,f1282,f1285,f1288,f1291,f1225,f1257,f1294,f1263,f1297,f1269,f1300,f1322,f1303,f1306,f1309,f1312,f1315,f1318,f1229,f1275]) ).
fof(f1845,plain,
( sQ25_spl
| ~ sQ24_spl
| ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ30_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f933,f1589,f1242,f1245,f1248,f1251,f1282,f1285,f1288,f1291,f1225,f1257,f1294,f1263,f1297,f1269,f1300,f1322,f1303,f1306,f1309,f1312,f1315,f1318,f1229,f1275,f1278]) ).
fof(f1846,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ17_spl
| ~ sQ24_spl
| ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ30_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f934,f1589,f1242,f1245,f1248,f1251,f1282,f1285,f1288,f1291,f1225,f1257,f1294,f1263,f1297,f1269,f1300,f1322,f1303,f1306,f1309,f1312,f1315,f1318,f1229,f1275,f1254,f1260,f1266,f1272]) ).
fof(f1899,plain,
( ~ sQ25_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f988,f1584,f1278]) ).
fof(f1900,plain,
( ~ sQ24_spl
| ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ30_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f989,f1584,f1242,f1245,f1248,f1251,f1282,f1285,f1288,f1291,f1225,f1257,f1294,f1263,f1297,f1269,f1300,f1322,f1303,f1306,f1309,f1312,f1315,f1318,f1229,f1275]) ).
fof(f1925,definition,
( sQ54_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1928,plain,
( sQ10_spl
| sQ54_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1017,f1691,f1925,f1225]) ).
fof(f1929,plain,
( sQ50_spl
| sQ54_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1018,f1691,f1925,f1695]) ).
fof(f1930,plain,
( sQ11_spl
| sQ54_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1019,f1691,f1925,f1229]) ).
fof(f1931,plain,
( sQ51_spl
| sQ54_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1020,f1691,f1925,f1700]) ).
fof(f1932,plain,
( ~ sQ51_spl
| ~ sQ11_spl
| ~ sQ50_spl
| ~ sQ10_spl
| sQ54_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1021,f1691,f1925,f1225,f1695,f1229,f1700]) ).
fof(f1940,plain,
( sQ25_spl
| ~ sQ24_spl
| ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ30_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1030,f1714,f1242,f1245,f1248,f1251,f1282,f1285,f1288,f1291,f1225,f1257,f1294,f1263,f1297,f1269,f1300,f1322,f1303,f1306,f1309,f1312,f1315,f1318,f1229,f1275,f1278]) ).
fof(f1941,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ17_spl
| ~ sQ24_spl
| ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ30_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1031,f1714,f1242,f1245,f1248,f1251,f1282,f1285,f1288,f1291,f1225,f1257,f1294,f1263,f1297,f1269,f1300,f1322,f1303,f1306,f1309,f1312,f1315,f1318,f1229,f1275,f1254,f1260,f1266,f1272]) ).
fof(f1994,plain,
( ~ sQ25_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1085,f1709,f1278]) ).
fof(f1995,plain,
( ~ sQ24_spl
| ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ30_spl
| ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1086,f1709,f1242,f1245,f1248,f1251,f1282,f1285,f1288,f1291,f1225,f1257,f1294,f1263,f1297,f1269,f1300,f1322,f1303,f1306,f1309,f1312,f1315,f1318,f1229,f1275]) ).
fof(f2020,definition,
( sQ55_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f2023,plain,
( sQ10_spl
| sQ55_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1114,f1925,f2020,f1225]) ).
fof(f2024,plain,
( sQ50_spl
| sQ55_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1115,f1925,f2020,f1695]) ).
fof(f2025,definition,
( sQ56_spl
<=> leq(n0,pv32) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f2028,plain,
( sQ56_spl
| sQ55_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1116,f1925,f2020,f2025]) ).
fof(f2029,plain,
( sQ11_spl
| sQ55_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1117,f1925,f2020,f1229]) ).
fof(f2030,plain,
( sQ51_spl
| sQ55_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1118,f1925,f2020,f1700]) ).
fof(f2031,definition,
( sQ57_spl
<=> leq(pv32,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f2034,plain,
( sQ57_spl
| sQ55_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1119,f1925,f2020,f2031]) ).
fof(f2041,plain,
( ~ sQ57_spl
| ~ sQ51_spl
| ~ sQ11_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ10_spl
| sQ55_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1123,f1925,f2020,f1225,f1695,f2025,f1229,f1700,f2031]) ).
fof(f2055,definition,
( sQ59_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f2058,plain,
( sQ10_spl
| sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1140,f2020,f2055,f1225]) ).
fof(f2059,definition,
( sQ60_spl
<=> leq(n0,pv21) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f2062,plain,
( sQ60_spl
| sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1141,f2020,f2055,f2059]) ).
fof(f2063,plain,
( sQ11_spl
| sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1142,f2020,f2055,f1229]) ).
fof(f2064,definition,
( sQ61_spl
<=> leq(pv21,minus(n6,n1)) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f2065,plain,
( ~ sQ61_spl
| leq(pv21,minus(n6,n1)) ),
inference(component_clause,[status(thm)],[f2064]) ).
fof(f2067,plain,
( sQ61_spl
| sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1143,f2020,f2055,f2064]) ).
fof(f2068,definition,
( sQ62_spl
<=> leq(pv21,n5) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f2070,plain,
( sQ62_spl
| ~ leq(pv21,n5) ),
inference(component_clause,[status(thm)],[f2068]) ).
fof(f2071,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| ~ sQ11_spl
| ~ sQ60_spl
| ~ sQ10_spl
| ~ sQ13_spl
| sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1144,f2020,f2055,f1242,f1225,f2059,f1229,f2068,f2064]) ).
fof(f2080,definition,
( sQ63_spl
<=> leq(n0,minus(n1000,n1)) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f2082,plain,
( sQ63_spl
| ~ leq(n0,minus(n1000,n1)) ),
inference(component_clause,[status(thm)],[f2080]) ).
fof(f2085,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ39_spl
| ~ sQ23_spl
| ~ sQ32_spl
| ~ sQ22_spl
| ~ sQ21_spl
| ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ30_spl
| ~ sQ63_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ4_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1156,f2055,f1200,f1242,f1245,f1248,f1251,f1282,f1285,f1288,f1291,f1254,f1257,f2080,f1294,f1260,f1263,f1297,f1266,f1269,f1300,f1272,f1322,f1303,f1306,f1309,f1312,f1315,f1318]) ).
fof(f2114,plain,
! [X0] : plus(n3,X0) = plus(X0,n3),
inference(forward_demodulation,[status(thm)],[f240,f241]) ).
fof(f2115,plain,
! [X0] : plus(X0,n4) = plus(succ(X0),n3),
inference(forward_demodulation,[status(thm)],[f240,f242]) ).
fof(f2116,plain,
! [X0] : plus(X0,n4) = plus(n3,succ(X0)),
inference(forward_demodulation,[status(thm)],[f2114,f2115]) ).
fof(f2117,plain,
! [X0] : plus(n4,X0) = plus(succ(X0),n3),
inference(forward_demodulation,[status(thm)],[f240,f243]) ).
fof(f2118,plain,
! [X0] : plus(n4,X0) = plus(n3,succ(X0)),
inference(forward_demodulation,[status(thm)],[f2114,f2117]) ).
fof(f2119,plain,
! [X0] : plus(n4,X0) = plus(X0,n4),
inference(forward_demodulation,[status(thm)],[f2116,f2118]) ).
fof(f2120,plain,
! [X0] : plus(X0,n5) = plus(succ(succ(X0)),n3),
inference(forward_demodulation,[status(thm)],[f240,f244]) ).
fof(f2121,plain,
! [X0] : plus(X0,n5) = plus(n3,succ(succ(X0))),
inference(forward_demodulation,[status(thm)],[f2114,f2120]) ).
fof(f2122,plain,
! [X0] : plus(X0,n5) = plus(succ(X0),n4),
inference(forward_demodulation,[status(thm)],[f2116,f2121]) ).
fof(f2123,plain,
! [X0] : plus(X0,n5) = plus(n4,succ(X0)),
inference(forward_demodulation,[status(thm)],[f2119,f2122]) ).
fof(f2124,plain,
! [X0] : plus(n5,X0) = plus(succ(succ(X0)),n3),
inference(forward_demodulation,[status(thm)],[f240,f245]) ).
fof(f2125,plain,
! [X0] : plus(n5,X0) = plus(n3,succ(succ(X0))),
inference(forward_demodulation,[status(thm)],[f2114,f2124]) ).
fof(f2126,plain,
! [X0] : plus(n5,X0) = plus(succ(X0),n4),
inference(forward_demodulation,[status(thm)],[f2116,f2125]) ).
fof(f2127,plain,
! [X0] : plus(n5,X0) = plus(n4,succ(X0)),
inference(forward_demodulation,[status(thm)],[f2119,f2126]) ).
fof(f2128,plain,
! [X0] : plus(n5,X0) = plus(X0,n5),
inference(forward_demodulation,[status(thm)],[f2123,f2127]) ).
fof(f2131,plain,
geq(pred(n4),n0),
inference(forward_demodulation,[status(thm)],[f246,f283]) ).
fof(f2132,plain,
geq(pred(n1000),n0),
inference(forward_demodulation,[status(thm)],[f246,f284]) ).
fof(f2134,plain,
plus(succ(n0),n3) = n4,
inference(forward_demodulation,[status(thm)],[f240,f361]) ).
fof(f2135,plain,
plus(n3,succ(n0)) = n4,
inference(forward_demodulation,[status(thm)],[f2114,f2134]) ).
fof(f2136,plain,
plus(n0,n4) = n4,
inference(forward_demodulation,[status(thm)],[f2116,f2135]) ).
fof(f2137,plain,
plus(succ(succ(n0)),n3) = n5,
inference(forward_demodulation,[status(thm)],[f240,f362]) ).
fof(f2138,plain,
plus(n3,succ(succ(n0))) = n5,
inference(forward_demodulation,[status(thm)],[f2114,f2137]) ).
fof(f2139,plain,
plus(succ(n0),n4) = n5,
inference(forward_demodulation,[status(thm)],[f2116,f2138]) ).
fof(f2140,plain,
plus(n4,succ(n0)) = n5,
inference(forward_demodulation,[status(thm)],[f2119,f2139]) ).
fof(f2141,plain,
plus(n0,n5) = n5,
inference(forward_demodulation,[status(thm)],[f2123,f2140]) ).
fof(f2142,plain,
plus(succ(succ(succ(n0))),n3) = n6,
inference(forward_demodulation,[status(thm)],[f240,f363]) ).
fof(f2143,plain,
plus(n3,succ(succ(succ(n0)))) = n6,
inference(forward_demodulation,[status(thm)],[f2114,f2142]) ).
fof(f2144,plain,
plus(succ(succ(n0)),n4) = n6,
inference(forward_demodulation,[status(thm)],[f2116,f2143]) ).
fof(f2145,plain,
plus(n4,succ(succ(n0))) = n6,
inference(forward_demodulation,[status(thm)],[f2119,f2144]) ).
fof(f2146,plain,
plus(succ(n0),n5) = n6,
inference(forward_demodulation,[status(thm)],[f2123,f2145]) ).
fof(f2147,plain,
plus(n5,succ(n0)) = n6,
inference(forward_demodulation,[status(thm)],[f2128,f2146]) ).
fof(f2148,plain,
plus(n5,n1) = n6,
inference(backward_demodulation,[status(thm)],[f364,f2147]) ).
fof(f2149,plain,
succ(n1) = n2,
inference(forward_demodulation,[status(thm)],[f364,f365]) ).
fof(f2155,plain,
( ~ sQ18_spl
| leq(n0,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f246,f1258]) ).
fof(f2156,plain,
( ~ sQ19_spl
| leq(n1,pred(n4)) ),
inference(forward_demodulation,[status(thm)],[f246,f1261]) ).
fof(f2161,plain,
( sQ24_spl
| ~ leq(pv5,pred(n1000)) ),
inference(forward_demodulation,[status(thm)],[f246,f1277]) ).
fof(f2163,plain,
( ~ sQ34_spl
| leq(n4,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f246,f1307]) ).
fof(f2167,plain,
plus(n1,n5) = n6,
inference(forward_demodulation,[status(thm)],[f2128,f2148]) ).
fof(f2168,plain,
succ(n5) = n6,
inference(forward_demodulation,[status(thm)],[f237,f2167]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ10_spl
| leq(X0,pv5)
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f1226,f131]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ11_spl
| leq(X0,n588)
| ~ leq(X0,pv5) ),
inference(resolution,[status(thm)],[f1230,f131]) ).
fof(f2178,definition,
( sQ64_spl
<=> gt(n0,pv5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f2179,plain,
( ~ sQ64_spl
| gt(n0,pv5) ),
inference(component_clause,[status(thm)],[f2178]) ).
fof(f2181,definition,
( sQ65_spl
<=> n0 = pv5 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f2182,plain,
( ~ sQ65_spl
| n0 = pv5 ),
inference(component_clause,[status(thm)],[f2181]) ).
fof(f2183,plain,
( sQ65_spl
| n0 != pv5 ),
inference(component_clause,[status(thm)],[f2181]) ).
fof(f2188,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f2182,f2179]) ).
fof(f2192,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2188,f127]) ).
fof(f2193,plain,
( ~ sQ64_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2192]) ).
fof(f2197,plain,
! [X0] :
( gt(X0,n4)
| ~ gt(X0,n5) ),
inference(resolution,[status(thm)],[f294,f126]) ).
fof(f2204,plain,
leq(n0,n7),
inference(resolution,[status(thm)],[f138,f285]) ).
fof(f2205,plain,
leq(n0,pred(n1000)),
inference(resolution,[status(thm)],[f138,f2132]) ).
fof(f2206,plain,
leq(n0,pred(n4)),
inference(resolution,[status(thm)],[f138,f2131]) ).
fof(f2212,plain,
! [X0] :
( gt(X0,n5)
| ~ gt(X0,n6) ),
inference(resolution,[status(thm)],[f299,f126]) ).
fof(f2231,plain,
leq(n0,n4),
inference(resolution,[status(thm)],[f141,f318]) ).
fof(f2232,plain,
leq(n6,n7),
inference(resolution,[status(thm)],[f141,f303]) ).
fof(f2233,plain,
leq(n5,n7),
inference(resolution,[status(thm)],[f141,f300]) ).
fof(f2234,plain,
leq(n4,n7),
inference(resolution,[status(thm)],[f141,f296]) ).
fof(f2235,plain,
leq(n5,n6),
inference(resolution,[status(thm)],[f141,f299]) ).
fof(f2236,plain,
leq(n4,n6),
inference(resolution,[status(thm)],[f141,f295]) ).
fof(f2237,plain,
leq(n4,n5),
inference(resolution,[status(thm)],[f141,f294]) ).
fof(f2238,plain,
leq(n0,n588),
inference(resolution,[status(thm)],[f141,f317]) ).
fof(f2239,plain,
leq(n7,n588),
inference(resolution,[status(thm)],[f141,f305]) ).
fof(f2240,plain,
leq(n6,n588),
inference(resolution,[status(thm)],[f141,f302]) ).
fof(f2241,plain,
leq(n5,n588),
inference(resolution,[status(thm)],[f141,f298]) ).
fof(f2242,plain,
leq(n4,n588),
inference(resolution,[status(thm)],[f141,f293]) ).
fof(f2243,plain,
leq(n7,n1000),
inference(resolution,[status(thm)],[f141,f306]) ).
fof(f2244,plain,
leq(n6,n1000),
inference(resolution,[status(thm)],[f141,f304]) ).
fof(f2245,plain,
leq(n5,n1000),
inference(resolution,[status(thm)],[f141,f301]) ).
fof(f2246,plain,
leq(n4,n1000),
inference(resolution,[status(thm)],[f141,f297]) ).
fof(f2247,plain,
leq(n588,n1000),
inference(resolution,[status(thm)],[f141,f292]) ).
fof(f2248,plain,
! [X0,X1] :
( X0 = X1
| gt(X0,X1)
| leq(X0,X1) ),
inference(resolution,[status(thm)],[f141,f123]) ).
fof(f2250,plain,
! [X0] : gt(X0,pred(X0)),
inference(resolution,[status(thm)],[f146,f128]) ).
fof(f2253,plain,
! [X0] :
( ~ sQ14_spl
| leq(X0,n1)
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f1246,f131]) ).
fof(f2254,definition,
( sQ66_spl
<=> n0 = n1 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f2255,plain,
( ~ sQ66_spl
| n0 = n1 ),
inference(component_clause,[status(thm)],[f2254]) ).
fof(f2256,plain,
( sQ66_spl
| n0 != n1 ),
inference(component_clause,[status(thm)],[f2254]) ).
fof(f2257,definition,
( sQ67_spl
<=> gt(n1,n0) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f2267,plain,
( ~ sQ66_spl
| succ(n0) = n2 ),
inference(backward_demodulation,[status(thm)],[f2255,f2149]) ).
fof(f2268,plain,
( ~ sQ66_spl
| succ(n0) = n0 ),
inference(backward_demodulation,[status(thm)],[f2255,f364]) ).
fof(f2277,plain,
( ~ sQ66_spl
| gt(n2,n0) ),
inference(backward_demodulation,[status(thm)],[f2255,f331]) ).
fof(f2291,plain,
leq(n0,n5),
inference(resolution,[status(thm)],[f319,f141]) ).
fof(f2294,plain,
leq(n0,n6),
inference(resolution,[status(thm)],[f320,f141]) ).
fof(f2300,plain,
leq(n0,n2),
inference(resolution,[status(thm)],[f323,f141]) ).
fof(f2303,plain,
leq(n0,n1000),
inference(resolution,[status(thm)],[f324,f141]) ).
fof(f2306,plain,
leq(n0,n3),
inference(resolution,[status(thm)],[f325,f141]) ).
fof(f2309,plain,
leq(n2,n588),
inference(resolution,[status(thm)],[f334,f141]) ).
fof(f2312,plain,
leq(n2,n4),
inference(resolution,[status(thm)],[f335,f141]) ).
fof(f2314,plain,
! [X0] :
( gt(X0,n2)
| ~ gt(X0,n4) ),
inference(resolution,[status(thm)],[f335,f126]) ).
fof(f2315,plain,
leq(n2,n5),
inference(resolution,[status(thm)],[f336,f141]) ).
fof(f2318,plain,
leq(n2,n6),
inference(resolution,[status(thm)],[f337,f141]) ).
fof(f2321,plain,
leq(n2,n7),
inference(resolution,[status(thm)],[f338,f141]) ).
fof(f2324,plain,
leq(n2,n1000),
inference(resolution,[status(thm)],[f339,f141]) ).
fof(f2327,plain,
leq(n2,n3),
inference(resolution,[status(thm)],[f340,f141]) ).
fof(f2330,plain,
leq(n3,n588),
inference(resolution,[status(thm)],[f341,f141]) ).
fof(f2333,plain,
leq(n3,n4),
inference(resolution,[status(thm)],[f342,f141]) ).
fof(f2335,plain,
! [X0] :
( gt(X0,n3)
| ~ gt(X0,n4) ),
inference(resolution,[status(thm)],[f342,f126]) ).
fof(f2340,plain,
! [X0,X1,X2] :
( leq(X2,pred(X0))
| ~ leq(X2,X1)
| ~ gt(X0,X1) ),
inference(resolution,[status(thm)],[f147,f131]) ).
fof(f2341,plain,
! [X0] : leq(X0,succ(X0)),
inference(resolution,[status(thm)],[f148,f141]) ).
fof(f2350,plain,
( gt(n7,n0)
| n0 = n7 ),
inference(resolution,[status(thm)],[f2204,f143]) ).
fof(f2352,plain,
! [X0] :
( leq(X0,n7)
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f2204,f131]) ).
fof(f2353,definition,
( sQ68_spl
<=> n0 = n7 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f2354,plain,
( ~ sQ68_spl
| n0 = n7 ),
inference(component_clause,[status(thm)],[f2353]) ).
fof(f2355,plain,
( sQ68_spl
| n0 != n7 ),
inference(component_clause,[status(thm)],[f2353]) ).
fof(f2356,definition,
( sQ69_spl
<=> gt(n7,n0) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f2359,plain,
( sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f2350,f2353,f2356]) ).
fof(f2362,plain,
( ~ sQ68_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f2354,f321]) ).
fof(f2393,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2362,f127]) ).
fof(f2394,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f2393]) ).
fof(f2395,plain,
( ~ sQ64_spl
| leq(pv5,n0) ),
inference(resolution,[status(thm)],[f2179,f141]) ).
fof(f2399,plain,
leq(n3,n5),
inference(resolution,[status(thm)],[f343,f141]) ).
fof(f2401,plain,
! [X0] :
( gt(X0,n3)
| ~ gt(X0,n5) ),
inference(resolution,[status(thm)],[f343,f126]) ).
fof(f2402,plain,
leq(n3,n6),
inference(resolution,[status(thm)],[f344,f141]) ).
fof(f2405,plain,
leq(n3,n1000),
inference(resolution,[status(thm)],[f346,f141]) ).
fof(f2408,plain,
( gt(n6,n5)
| n5 = n6 ),
inference(resolution,[status(thm)],[f2235,f143]) ).
fof(f2410,plain,
! [X0] :
( leq(X0,n6)
| ~ leq(X0,n5) ),
inference(resolution,[status(thm)],[f2235,f131]) ).
fof(f2411,definition,
( sQ70_spl
<=> n5 = n6 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f2412,plain,
( ~ sQ70_spl
| n5 = n6 ),
inference(component_clause,[status(thm)],[f2411]) ).
fof(f2414,definition,
( sQ71_spl
<=> gt(n6,n5) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f2417,plain,
( sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f2408,f2411,f2414]) ).
fof(f2424,plain,
( ~ sQ70_spl
| gt(n5,n5) ),
inference(backward_demodulation,[status(thm)],[f2412,f299]) ).
fof(f2456,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2424,f127]) ).
fof(f2457,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f2456]) ).
fof(f2458,plain,
( gt(n5,n4)
| n4 = n5 ),
inference(resolution,[status(thm)],[f2237,f143]) ).
fof(f2460,plain,
! [X0] :
( leq(X0,n5)
| ~ leq(X0,n4) ),
inference(resolution,[status(thm)],[f2237,f131]) ).
fof(f2461,definition,
( sQ72_spl
<=> n4 = n5 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f2462,plain,
( ~ sQ72_spl
| n4 = n5 ),
inference(component_clause,[status(thm)],[f2461]) ).
fof(f2463,plain,
( sQ72_spl
| n4 != n5 ),
inference(component_clause,[status(thm)],[f2461]) ).
fof(f2464,definition,
( sQ73_spl
<=> gt(n5,n4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f2467,plain,
( sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f2458,f2461,f2464]) ).
fof(f2474,plain,
( ~ sQ72_spl
| gt(n4,n4) ),
inference(backward_demodulation,[status(thm)],[f2462,f294]) ).
fof(f2513,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2474,f127]) ).
fof(f2514,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f2513]) ).
fof(f2515,plain,
( gt(n588,n0)
| n0 = n588 ),
inference(resolution,[status(thm)],[f2238,f143]) ).
fof(f2518,definition,
( sQ74_spl
<=> n0 = n588 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f2519,plain,
( ~ sQ74_spl
| n0 = n588 ),
inference(component_clause,[status(thm)],[f2518]) ).
fof(f2521,definition,
( sQ75_spl
<=> gt(n588,n0) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f2524,plain,
( sQ75_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f2515,f2518,f2521]) ).
fof(f2528,plain,
( ~ sQ74_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f2519,f317]) ).
fof(f2561,plain,
( ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2528,f127]) ).
fof(f2562,plain,
~ sQ74_spl,
inference(contradiction_clause,[status(thm)],[f2561]) ).
fof(f2563,plain,
( gt(n1000,n4)
| n4 = n1000 ),
inference(resolution,[status(thm)],[f2246,f143]) ).
fof(f2565,plain,
! [X0] :
( leq(X0,n1000)
| ~ leq(X0,n4) ),
inference(resolution,[status(thm)],[f2246,f131]) ).
fof(f2566,definition,
( sQ76_spl
<=> n4 = n1000 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f2567,plain,
( ~ sQ76_spl
| n4 = n1000 ),
inference(component_clause,[status(thm)],[f2566]) ).
fof(f2569,definition,
( sQ77_spl
<=> gt(n1000,n4) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f2572,plain,
( sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f2563,f2566,f2569]) ).
fof(f2577,plain,
( ~ sQ76_spl
| gt(n4,n4) ),
inference(backward_demodulation,[status(thm)],[f2567,f297]) ).
fof(f2611,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2577,f127]) ).
fof(f2612,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f2611]) ).
fof(f2613,plain,
( gt(n4,n0)
| n0 = n4 ),
inference(resolution,[status(thm)],[f2231,f143]) ).
fof(f2615,plain,
! [X0] :
( leq(X0,n4)
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f2231,f131]) ).
fof(f2616,definition,
( sQ78_spl
<=> n0 = n4 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f2617,plain,
( ~ sQ78_spl
| n0 = n4 ),
inference(component_clause,[status(thm)],[f2616]) ).
fof(f2618,plain,
( sQ78_spl
| n0 != n4 ),
inference(component_clause,[status(thm)],[f2616]) ).
fof(f2619,definition,
( sQ79_spl
<=> gt(n4,n0) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f2622,plain,
( sQ79_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f2613,f2616,f2619]) ).
fof(f2626,plain,
( ~ sQ78_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f2617,f318]) ).
fof(f2674,plain,
( ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2626,f127]) ).
fof(f2675,plain,
~ sQ78_spl,
inference(contradiction_clause,[status(thm)],[f2674]) ).
fof(f2679,definition,
( sQ80_spl
<=> n0 = n0 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f2683,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1244,f128]) ).
fof(f2684,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f2683]) ).
fof(f2729,plain,
( ~ sQ66_spl
| n1 = n2 ),
inference(forward_demodulation,[status(thm)],[f364,f2267]) ).
fof(f2751,plain,
( ~ sQ66_spl
| n1 = n0 ),
inference(forward_demodulation,[status(thm)],[f364,f2268]) ).
fof(f2771,plain,
( ~ sQ66_spl
| gt(n1,n0) ),
inference(forward_demodulation,[status(thm)],[f2729,f2277]) ).
fof(f2772,plain,
( ~ sQ66_spl
| gt(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f2751,f2771]) ).
fof(f2773,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2772,f127]) ).
fof(f2774,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f2773]) ).
fof(f2775,plain,
leq(n3,n7),
inference(resolution,[status(thm)],[f345,f141]) ).
fof(f2778,plain,
( n3 = n0
| ~ leq(n3,n0) ),
inference(resolution,[status(thm)],[f2306,f354]) ).
fof(f2781,plain,
! [X0] :
( leq(X0,n3)
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f2306,f131]) ).
fof(f2782,definition,
( sQ81_spl
<=> leq(n3,n0) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f2784,plain,
( sQ81_spl
| ~ leq(n3,n0) ),
inference(component_clause,[status(thm)],[f2782]) ).
fof(f2785,definition,
( sQ82_spl
<=> n3 = n0 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f2786,plain,
( ~ sQ82_spl
| n3 = n0 ),
inference(component_clause,[status(thm)],[f2785]) ).
fof(f2787,plain,
( sQ82_spl
| n3 != n0 ),
inference(component_clause,[status(thm)],[f2785]) ).
fof(f2788,plain,
( sQ82_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f2778,f2782,f2785]) ).
fof(f2789,definition,
( sQ83_spl
<=> gt(n3,n0) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f2795,plain,
( ~ sQ82_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f2786,f325]) ).
fof(f2837,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2795,f127]) ).
fof(f2838,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f2837]) ).
fof(f2844,plain,
! [X0] : ~ leq(succ(X0),X0),
inference(resolution,[status(thm)],[f153,f127]) ).
fof(f2851,plain,
! [X0,X1] :
( geq(X0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f157,f139]) ).
fof(f2852,plain,
! [X0,X1,X2] :
( leq(X1,X0)
| ~ leq(X1,uniform_int_rnd(X2,X0))
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f157,f131]) ).
fof(f2853,plain,
( n7 = n0
| ~ leq(n7,n0) ),
inference(resolution,[status(thm)],[f2204,f354]) ).
fof(f2857,definition,
( sQ84_spl
<=> leq(n7,n0) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f2860,plain,
( sQ68_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f2853,f2857,f2353]) ).
fof(f2871,plain,
( gt(n7,n6)
| n6 = n7 ),
inference(resolution,[status(thm)],[f2232,f143]) ).
fof(f2873,plain,
! [X0] :
( leq(X0,n7)
| ~ leq(X0,n6) ),
inference(resolution,[status(thm)],[f2232,f131]) ).
fof(f2874,definition,
( sQ85_spl
<=> n6 = n7 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f2875,plain,
( ~ sQ85_spl
| n6 = n7 ),
inference(component_clause,[status(thm)],[f2874]) ).
fof(f2877,definition,
( sQ86_spl
<=> gt(n7,n6) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f2880,plain,
( sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f2871,f2874,f2877]) ).
fof(f2919,plain,
( ~ sQ85_spl
| gt(n7,n7) ),
inference(backward_demodulation,[status(thm)],[f2875,f303]) ).
fof(f2924,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2919,f127]) ).
fof(f2925,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f2924]) ).
fof(f2929,plain,
( gt(n7,n5)
| n5 = n7 ),
inference(resolution,[status(thm)],[f2233,f143]) ).
fof(f2931,plain,
! [X0] :
( leq(X0,n7)
| ~ leq(X0,n5) ),
inference(resolution,[status(thm)],[f2233,f131]) ).
fof(f2932,definition,
( sQ87_spl
<=> n5 = n7 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f2933,plain,
( ~ sQ87_spl
| n5 = n7 ),
inference(component_clause,[status(thm)],[f2932]) ).
fof(f2935,definition,
( sQ88_spl
<=> gt(n7,n5) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f2938,plain,
( sQ88_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f2929,f2932,f2935]) ).
fof(f2974,plain,
( ~ sQ87_spl
| gt(n5,n5) ),
inference(backward_demodulation,[status(thm)],[f2933,f300]) ).
fof(f2982,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2974,f127]) ).
fof(f2983,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f2982]) ).
fof(f2984,plain,
( n5 = n0
| ~ leq(n5,n0) ),
inference(resolution,[status(thm)],[f2291,f354]) ).
fof(f2987,plain,
! [X0] :
( leq(X0,n5)
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f2291,f131]) ).
fof(f2988,definition,
( sQ89_spl
<=> leq(n5,n0) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f2991,definition,
( sQ90_spl
<=> n5 = n0 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f2992,plain,
( ~ sQ90_spl
| n5 = n0 ),
inference(component_clause,[status(thm)],[f2991]) ).
fof(f2993,plain,
( sQ90_spl
| n5 != n0 ),
inference(component_clause,[status(thm)],[f2991]) ).
fof(f2994,plain,
( sQ90_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f2984,f2988,f2991]) ).
fof(f2995,definition,
( sQ91_spl
<=> gt(n5,n0) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f3000,plain,
( ~ sQ90_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f2992,f319]) ).
fof(f3050,plain,
( ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3000,f127]) ).
fof(f3051,plain,
~ sQ90_spl,
inference(contradiction_clause,[status(thm)],[f3050]) ).
fof(f3055,plain,
( n588 = n0
| ~ leq(n588,n0) ),
inference(resolution,[status(thm)],[f2238,f354]) ).
fof(f3059,definition,
( sQ92_spl
<=> leq(n588,n0) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f3061,plain,
( sQ92_spl
| ~ leq(n588,n0) ),
inference(component_clause,[status(thm)],[f3059]) ).
fof(f3062,plain,
( sQ74_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f3055,f3059,f2518]) ).
fof(f3071,plain,
( gt(n1000,n588)
| n588 = n1000 ),
inference(resolution,[status(thm)],[f2247,f143]) ).
fof(f3074,definition,
( sQ93_spl
<=> n588 = n1000 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f3075,plain,
( ~ sQ93_spl
| n588 = n1000 ),
inference(component_clause,[status(thm)],[f3074]) ).
fof(f3077,definition,
( sQ94_spl
<=> gt(n1000,n588) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f3078,plain,
( ~ sQ94_spl
| gt(n1000,n588) ),
inference(component_clause,[status(thm)],[f3077]) ).
fof(f3080,plain,
( sQ94_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f3071,f3074,f3077]) ).
fof(f3082,plain,
( ~ sQ93_spl
| gt(n1000,n1000) ),
inference(backward_demodulation,[status(thm)],[f3075,f292]) ).
fof(f3121,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3082,f127]) ).
fof(f3122,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f3121]) ).
fof(f3123,plain,
( n1000 = n0
| ~ leq(n1000,n0) ),
inference(resolution,[status(thm)],[f2303,f354]) ).
fof(f3126,plain,
! [X0] :
( leq(X0,n1000)
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f2303,f131]) ).
fof(f3127,definition,
( sQ95_spl
<=> leq(n1000,n0) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f3130,definition,
( sQ96_spl
<=> n1000 = n0 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f3131,plain,
( ~ sQ96_spl
| n1000 = n0 ),
inference(component_clause,[status(thm)],[f3130]) ).
fof(f3132,plain,
( sQ96_spl
| n1000 != n0 ),
inference(component_clause,[status(thm)],[f3130]) ).
fof(f3133,plain,
( sQ96_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f3123,f3127,f3130]) ).
fof(f3134,definition,
( sQ97_spl
<=> gt(n1000,n0) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f3139,plain,
( ~ sQ96_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f3131,f324]) ).
fof(f3182,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3139,f127]) ).
fof(f3183,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f3182]) ).
fof(f3187,plain,
( n4 = n0
| ~ leq(n4,n0) ),
inference(resolution,[status(thm)],[f2231,f354]) ).
fof(f3191,definition,
( sQ98_spl
<=> leq(n4,n0) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f3193,plain,
( sQ98_spl
| ~ leq(n4,n0) ),
inference(component_clause,[status(thm)],[f3191]) ).
fof(f3194,plain,
( sQ78_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3187,f3191,f2616]) ).
fof(f3200,plain,
( gt(n4,n2)
| n2 = n4 ),
inference(resolution,[status(thm)],[f2312,f143]) ).
fof(f3202,plain,
! [X0] :
( leq(X0,n4)
| ~ leq(X0,n2) ),
inference(resolution,[status(thm)],[f2312,f131]) ).
fof(f3203,definition,
( sQ99_spl
<=> n2 = n4 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f3204,plain,
( ~ sQ99_spl
| n2 = n4 ),
inference(component_clause,[status(thm)],[f3203]) ).
fof(f3205,plain,
( sQ99_spl
| n2 != n4 ),
inference(component_clause,[status(thm)],[f3203]) ).
fof(f3206,definition,
( sQ100_spl
<=> gt(n4,n2) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f3207,plain,
( ~ sQ100_spl
| gt(n4,n2) ),
inference(component_clause,[status(thm)],[f3206]) ).
fof(f3209,plain,
( sQ100_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f3200,f3203,f3206]) ).
fof(f3253,plain,
( ~ sQ99_spl
| gt(n2,n2) ),
inference(backward_demodulation,[status(thm)],[f3204,f335]) ).
fof(f3276,plain,
( ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3253,f127]) ).
fof(f3277,plain,
~ sQ99_spl,
inference(contradiction_clause,[status(thm)],[f3276]) ).
fof(f3278,plain,
( n2 = n0
| ~ leq(n2,n0) ),
inference(resolution,[status(thm)],[f2300,f354]) ).
fof(f3281,plain,
! [X0] :
( leq(X0,n2)
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f2300,f131]) ).
fof(f3282,definition,
( sQ101_spl
<=> leq(n2,n0) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f3284,plain,
( sQ101_spl
| ~ leq(n2,n0) ),
inference(component_clause,[status(thm)],[f3282]) ).
fof(f3285,definition,
( sQ102_spl
<=> n2 = n0 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f3286,plain,
( ~ sQ102_spl
| n2 = n0 ),
inference(component_clause,[status(thm)],[f3285]) ).
fof(f3287,plain,
( sQ102_spl
| n2 != n0 ),
inference(component_clause,[status(thm)],[f3285]) ).
fof(f3288,plain,
( sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f3278,f3282,f3285]) ).
fof(f3289,definition,
( sQ103_spl
<=> gt(n2,n0) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f3294,plain,
( ~ sQ102_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f3286,f323]) ).
fof(f3340,plain,
( ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3294,f127]) ).
fof(f3341,plain,
~ sQ102_spl,
inference(contradiction_clause,[status(thm)],[f3340]) ).
fof(f3342,plain,
leq(n0,n1),
inference(resolution,[status(thm)],[f322,f141]) ).
fof(f3345,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3342,f1247]) ).
fof(f3346,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f3345]) ).
fof(f3347,plain,
! [X0,X1] :
( uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n0)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f160,f354]) ).
fof(f3350,plain,
! [X0,X1,X2] :
( leq(X1,uniform_int_rnd(X2,X0))
| ~ leq(X1,n0)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f160,f131]) ).
fof(f3362,plain,
leq(n1,n3),
inference(resolution,[status(thm)],[f333,f141]) ).
fof(f3365,plain,
( n3 = n1
| n3 = n0
| ~ leq(n3,n1) ),
inference(resolution,[status(thm)],[f356,f2306]) ).
fof(f3366,plain,
! [X0,X1] :
( ~ leq(n0,X1)
| uniform_int_rnd(X0,X1) = n1
| uniform_int_rnd(X0,X1) = n0
| ~ leq(uniform_int_rnd(X0,X1),n1) ),
inference(resolution,[status(thm)],[f356,f160]) ).
fof(f3370,definition,
( sQ104_spl
<=> leq(n3,n1) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f3372,plain,
( sQ104_spl
| ~ leq(n3,n1) ),
inference(component_clause,[status(thm)],[f3370]) ).
fof(f3373,definition,
( sQ105_spl
<=> n3 = n1 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f3374,plain,
( ~ sQ105_spl
| n3 = n1 ),
inference(component_clause,[status(thm)],[f3373]) ).
fof(f3375,plain,
( sQ105_spl
| n3 != n1 ),
inference(component_clause,[status(thm)],[f3373]) ).
fof(f3376,plain,
( sQ105_spl
| sQ82_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f3365,f3370,f2785,f3373]) ).
fof(f3378,plain,
( ~ sQ105_spl
| gt(n1,n1) ),
inference(backward_demodulation,[status(thm)],[f3374,f333]) ).
fof(f3430,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3378,f127]) ).
fof(f3431,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f3430]) ).
fof(f3438,plain,
leq(n1,n6),
inference(resolution,[status(thm)],[f329,f141]) ).
fof(f3441,plain,
( n6 = n1
| n6 = n0
| ~ leq(n6,n1) ),
inference(resolution,[status(thm)],[f2294,f356]) ).
fof(f3442,plain,
( n6 = n0
| ~ leq(n6,n0) ),
inference(resolution,[status(thm)],[f2294,f354]) ).
fof(f3443,plain,
( gt(n6,n0)
| n0 = n6 ),
inference(resolution,[status(thm)],[f2294,f143]) ).
fof(f3445,plain,
! [X0] :
( leq(X0,n6)
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f2294,f131]) ).
fof(f3446,definition,
( sQ106_spl
<=> leq(n6,n1) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f3448,plain,
( sQ106_spl
| ~ leq(n6,n1) ),
inference(component_clause,[status(thm)],[f3446]) ).
fof(f3449,definition,
( sQ107_spl
<=> n6 = n0 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f3450,plain,
( ~ sQ107_spl
| n6 = n0 ),
inference(component_clause,[status(thm)],[f3449]) ).
fof(f3451,plain,
( sQ107_spl
| n6 != n0 ),
inference(component_clause,[status(thm)],[f3449]) ).
fof(f3452,definition,
( sQ108_spl
<=> n6 = n1 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f3453,plain,
( ~ sQ108_spl
| n6 = n1 ),
inference(component_clause,[status(thm)],[f3452]) ).
fof(f3454,plain,
( sQ108_spl
| n6 != n1 ),
inference(component_clause,[status(thm)],[f3452]) ).
fof(f3455,plain,
( sQ108_spl
| sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f3441,f3446,f3449,f3452]) ).
fof(f3456,definition,
( sQ109_spl
<=> leq(n6,n0) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f3459,plain,
( sQ107_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f3442,f3456,f3449]) ).
fof(f3460,definition,
( sQ110_spl
<=> gt(n6,n0) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f3463,plain,
( sQ110_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f3443,f3449,f3460]) ).
fof(f3466,plain,
( ~ sQ107_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f3450,f320]) ).
fof(f3526,plain,
( ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3466,f127]) ).
fof(f3527,plain,
~ sQ107_spl,
inference(contradiction_clause,[status(thm)],[f3526]) ).
fof(f3528,plain,
( n7 = n1
| n7 = n0
| ~ leq(n7,n1) ),
inference(resolution,[status(thm)],[f2204,f356]) ).
fof(f3533,definition,
( sQ111_spl
<=> leq(n7,n1) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f3536,definition,
( sQ112_spl
<=> n7 = n1 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f3537,plain,
( ~ sQ112_spl
| n7 = n1 ),
inference(component_clause,[status(thm)],[f3536]) ).
fof(f3539,plain,
( sQ112_spl
| sQ68_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f3528,f3533,f2353,f3536]) ).
fof(f3552,plain,
( ~ sQ112_spl
| leq(n3,n1) ),
inference(backward_demodulation,[status(thm)],[f3537,f2775]) ).
fof(f3593,plain,
( n5 = n1
| n5 = n0
| ~ leq(n5,n1) ),
inference(resolution,[status(thm)],[f2291,f356]) ).
fof(f3598,definition,
( sQ113_spl
<=> leq(n5,n1) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f3601,definition,
( sQ114_spl
<=> n5 = n1 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f3602,plain,
( ~ sQ114_spl
| n5 = n1 ),
inference(component_clause,[status(thm)],[f3601]) ).
fof(f3603,plain,
( sQ114_spl
| n5 != n1 ),
inference(component_clause,[status(thm)],[f3601]) ).
fof(f3604,plain,
( sQ114_spl
| sQ90_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f3593,f3598,f2991,f3601]) ).
fof(f3619,plain,
( ~ sQ114_spl
| succ(n1) = n6 ),
inference(backward_demodulation,[status(thm)],[f3602,f2168]) ).
fof(f3665,plain,
( n588 = n1
| n588 = n0
| ~ leq(n588,n1) ),
inference(resolution,[status(thm)],[f2238,f356]) ).
fof(f3670,definition,
( sQ115_spl
<=> leq(n588,n1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f3672,plain,
( sQ115_spl
| ~ leq(n588,n1) ),
inference(component_clause,[status(thm)],[f3670]) ).
fof(f3673,definition,
( sQ116_spl
<=> n588 = n1 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f3674,plain,
( ~ sQ116_spl
| n588 = n1 ),
inference(component_clause,[status(thm)],[f3673]) ).
fof(f3676,plain,
( sQ116_spl
| sQ74_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f3665,f3670,f2518,f3673]) ).
fof(f3688,plain,
( ~ sQ116_spl
| leq(n7,n1) ),
inference(backward_demodulation,[status(thm)],[f3674,f2239]) ).
fof(f3728,plain,
( n1000 = n1
| n1000 = n0
| ~ leq(n1000,n1) ),
inference(resolution,[status(thm)],[f2303,f356]) ).
fof(f3733,definition,
( sQ117_spl
<=> leq(n1000,n1) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f3736,definition,
( sQ118_spl
<=> n1000 = n1 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f3737,plain,
( ~ sQ118_spl
| n1000 = n1 ),
inference(component_clause,[status(thm)],[f3736]) ).
fof(f3739,plain,
( sQ118_spl
| sQ96_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f3728,f3733,f3130,f3736]) ).
fof(f3751,plain,
( ~ sQ118_spl
| leq(n588,n1) ),
inference(backward_demodulation,[status(thm)],[f3737,f2247]) ).
fof(f3792,plain,
( ~ sQ10_spl
| pv5 = n1
| pv5 = n0
| ~ leq(pv5,n1) ),
inference(resolution,[status(thm)],[f1226,f356]) ).
fof(f3793,plain,
( ~ sQ10_spl
| pv5 = n0
| ~ leq(pv5,n0) ),
inference(resolution,[status(thm)],[f1226,f354]) ).
fof(f3794,plain,
( ~ sQ10_spl
| gt(pv5,n0)
| n0 = pv5 ),
inference(resolution,[status(thm)],[f1226,f143]) ).
fof(f3797,definition,
( sQ119_spl
<=> leq(pv5,n1) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f3798,plain,
( ~ sQ119_spl
| leq(pv5,n1) ),
inference(component_clause,[status(thm)],[f3797]) ).
fof(f3799,plain,
( sQ119_spl
| ~ leq(pv5,n1) ),
inference(component_clause,[status(thm)],[f3797]) ).
fof(f3800,definition,
( sQ120_spl
<=> pv5 = n1 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f3801,plain,
( ~ sQ120_spl
| pv5 = n1 ),
inference(component_clause,[status(thm)],[f3800]) ).
fof(f3803,plain,
( ~ sQ10_spl
| sQ120_spl
| sQ65_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f3792,f3797,f2181,f3800,f1225]) ).
fof(f3804,definition,
( sQ121_spl
<=> leq(pv5,n0) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f3805,plain,
( ~ sQ121_spl
| leq(pv5,n0) ),
inference(component_clause,[status(thm)],[f3804]) ).
fof(f3806,plain,
( sQ121_spl
| ~ leq(pv5,n0) ),
inference(component_clause,[status(thm)],[f3804]) ).
fof(f3807,plain,
( ~ sQ10_spl
| sQ65_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f3793,f3804,f2181,f1225]) ).
fof(f3808,plain,
( ~ sQ10_spl
| sQ25_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f3794,f2181,f1278,f1225]) ).
fof(f3812,plain,
( sQ119_spl
| ~ sQ120_spl
| ~ leq(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f3801,f3799]) ).
fof(f3813,plain,
( sQ119_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3812,f128]) ).
fof(f3814,plain,
( sQ119_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f3813]) ).
fof(f3815,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1250,f2300]) ).
fof(f3816,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f3815]) ).
fof(f3817,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1253,f2306]) ).
fof(f3818,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f3817]) ).
fof(f3819,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1202,f278]) ).
fof(f3820,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f3819]) ).
fof(f3821,plain,
( sQ17_spl
| ~ leq(n0,pred(n4)) ),
inference(forward_demodulation,[status(thm)],[f246,f1256]) ).
fof(f3822,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3821,f2206]) ).
fof(f3823,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f3822]) ).
fof(f3828,plain,
( sQ121_spl
| ~ sQ65_spl
| ~ leq(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f2182,f3806]) ).
fof(f3829,plain,
( sQ11_spl
| ~ sQ65_spl
| ~ leq(n0,n588) ),
inference(backward_demodulation,[status(thm)],[f2182,f1231]) ).
fof(f3832,plain,
( sQ18_spl
| ~ leq(n0,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f246,f1259]) ).
fof(f3833,plain,
( sQ121_spl
| ~ sQ65_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3828,f1242,f2181,f3804]) ).
fof(f3834,plain,
( sQ11_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3829,f2238]) ).
fof(f3835,plain,
( sQ11_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f3834]) ).
fof(f3837,plain,
leq(n1,n4),
inference(resolution,[status(thm)],[f327,f141]) ).
fof(f3839,plain,
! [X0] :
( gt(X0,n1)
| ~ gt(X0,n4) ),
inference(resolution,[status(thm)],[f327,f126]) ).
fof(f3840,plain,
! [X0,X1] :
( ~ leq(n0,X1)
| uniform_int_rnd(X0,X1) = n2
| uniform_int_rnd(X0,X1) = n1
| uniform_int_rnd(X0,X1) = n0
| ~ leq(uniform_int_rnd(X0,X1),n2) ),
inference(resolution,[status(thm)],[f358,f160]) ).
fof(f3841,plain,
! [X0] :
( ~ leq(n0,X0)
| succ(X0) = n2
| succ(X0) = n1
| succ(X0) = n0
| ~ leq(succ(X0),n2) ),
inference(resolution,[status(thm)],[f358,f150]) ).
fof(f3846,plain,
( n4 = n2
| n4 = n1
| n4 = n0
| ~ leq(n4,n2) ),
inference(resolution,[status(thm)],[f2231,f358]) ).
fof(f3847,plain,
( n4 = n1
| n4 = n0
| ~ leq(n4,n1) ),
inference(resolution,[status(thm)],[f2231,f356]) ).
fof(f3852,definition,
( sQ122_spl
<=> leq(n4,n2) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f3854,plain,
( sQ122_spl
| ~ leq(n4,n2) ),
inference(component_clause,[status(thm)],[f3852]) ).
fof(f3855,definition,
( sQ123_spl
<=> n4 = n1 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f3856,plain,
( ~ sQ123_spl
| n4 = n1 ),
inference(component_clause,[status(thm)],[f3855]) ).
fof(f3857,plain,
( sQ123_spl
| n4 != n1 ),
inference(component_clause,[status(thm)],[f3855]) ).
fof(f3858,plain,
( sQ99_spl
| sQ123_spl
| sQ78_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f3846,f3852,f2616,f3855,f3203]) ).
fof(f3859,definition,
( sQ124_spl
<=> leq(n4,n1) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f3862,plain,
( sQ123_spl
| sQ78_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f3847,f3859,f2616,f3855]) ).
fof(f3867,plain,
( ~ sQ123_spl
| gt(n1,n1) ),
inference(backward_demodulation,[status(thm)],[f3856,f327]) ).
fof(f3928,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3867,f127]) ).
fof(f3929,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f3928]) ).
fof(f3934,plain,
( n2 = n1
| n2 = n0
| ~ leq(n2,n1) ),
inference(resolution,[status(thm)],[f2300,f356]) ).
fof(f3939,definition,
( sQ125_spl
<=> leq(n2,n2) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f3941,plain,
( sQ125_spl
| ~ leq(n2,n2) ),
inference(component_clause,[status(thm)],[f3939]) ).
fof(f3942,definition,
( sQ126_spl
<=> n2 = n1 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f3943,plain,
( ~ sQ126_spl
| n2 = n1 ),
inference(component_clause,[status(thm)],[f3942]) ).
fof(f3944,plain,
( sQ126_spl
| n2 != n1 ),
inference(component_clause,[status(thm)],[f3942]) ).
fof(f3945,definition,
( sQ127_spl
<=> n2 = n2 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f3949,definition,
( sQ128_spl
<=> leq(n2,n1) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f3952,plain,
( sQ126_spl
| sQ102_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f3934,f3949,f3285,f3942]) ).
fof(f4001,plain,
( ~ sQ126_spl
| gt(n1,n1) ),
inference(backward_demodulation,[status(thm)],[f3943,f331]) ).
fof(f4015,plain,
( n1 = n1
| n1 = n0
| ~ leq(n1,n1) ),
inference(resolution,[status(thm)],[f3342,f356]) ).
fof(f4016,plain,
( n1 = n0
| ~ leq(n1,n0) ),
inference(resolution,[status(thm)],[f3342,f354]) ).
fof(f4020,definition,
( sQ129_spl
<=> leq(n1,n1) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f4022,plain,
( sQ129_spl
| ~ leq(n1,n1) ),
inference(component_clause,[status(thm)],[f4020]) ).
fof(f4023,definition,
( sQ130_spl
<=> n1 = n1 ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f4026,plain,
( sQ130_spl
| sQ66_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f4015,f4020,f2254,f4023]) ).
fof(f4027,definition,
( sQ131_spl
<=> leq(n1,n0) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f4029,plain,
( sQ131_spl
| ~ leq(n1,n0) ),
inference(component_clause,[status(thm)],[f4027]) ).
fof(f4030,plain,
( sQ66_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f4016,f4027,f2254]) ).
fof(f4032,plain,
( sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4022,f128]) ).
fof(f4033,plain,
sQ129_spl,
inference(contradiction_clause,[status(thm)],[f4032]) ).
fof(f4074,plain,
( sQ19_spl
| ~ leq(n1,pred(n4)) ),
inference(forward_demodulation,[status(thm)],[f246,f1262]) ).
fof(f4078,plain,
( gt(n3,n1)
| n1 = n3 ),
inference(resolution,[status(thm)],[f3362,f143]) ).
fof(f4080,plain,
! [X0] :
( leq(X0,n3)
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f3362,f131]) ).
fof(f4081,definition,
( sQ132_spl
<=> gt(n3,n1) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f4084,plain,
( sQ132_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f4078,f3373,f4081]) ).
fof(f4106,plain,
( gt(n6,n1)
| n1 = n6 ),
inference(resolution,[status(thm)],[f3438,f143]) ).
fof(f4108,plain,
! [X0] :
( leq(X0,n6)
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f3438,f131]) ).
fof(f4109,definition,
( sQ133_spl
<=> gt(n6,n1) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f4112,plain,
( sQ133_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f4106,f3452,f4109]) ).
fof(f4117,plain,
( ~ sQ108_spl
| gt(n1,n1) ),
inference(backward_demodulation,[status(thm)],[f3453,f329]) ).
fof(f4166,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4117,f127]) ).
fof(f4167,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f4166]) ).
fof(f4168,plain,
( gt(n7,n3)
| n3 = n7 ),
inference(resolution,[status(thm)],[f2775,f143]) ).
fof(f4170,plain,
! [X0] :
( leq(X0,n7)
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f2775,f131]) ).
fof(f4171,definition,
( sQ134_spl
<=> n3 = n7 ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f4172,plain,
( ~ sQ134_spl
| n3 = n7 ),
inference(component_clause,[status(thm)],[f4171]) ).
fof(f4174,definition,
( sQ135_spl
<=> gt(n7,n3) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f4177,plain,
( sQ135_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f4168,f4171,f4174]) ).
fof(f4179,plain,
( ~ sQ134_spl
| gt(n3,n3) ),
inference(backward_demodulation,[status(thm)],[f4172,f345]) ).
fof(f4237,plain,
( ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4179,f127]) ).
fof(f4238,plain,
~ sQ134_spl,
inference(contradiction_clause,[status(thm)],[f4237]) ).
fof(f4245,plain,
( gt(n5,n3)
| n3 = n5 ),
inference(resolution,[status(thm)],[f2399,f143]) ).
fof(f4247,plain,
! [X0] :
( leq(X0,n5)
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f2399,f131]) ).
fof(f4248,definition,
( sQ136_spl
<=> n3 = n5 ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f4249,plain,
( ~ sQ136_spl
| n3 = n5 ),
inference(component_clause,[status(thm)],[f4248]) ).
fof(f4251,definition,
( sQ137_spl
<=> gt(n5,n3) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f4254,plain,
( sQ137_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f4245,f4248,f4251]) ).
fof(f4256,plain,
( ~ sQ136_spl
| gt(n3,n3) ),
inference(backward_demodulation,[status(thm)],[f4249,f343]) ).
fof(f4323,plain,
( ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4256,f127]) ).
fof(f4324,plain,
~ sQ136_spl,
inference(contradiction_clause,[status(thm)],[f4323]) ).
fof(f4351,plain,
( gt(n588,n3)
| n3 = n588 ),
inference(resolution,[status(thm)],[f2330,f143]) ).
fof(f4354,definition,
( sQ138_spl
<=> n3 = n588 ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f4355,plain,
( ~ sQ138_spl
| n3 = n588 ),
inference(component_clause,[status(thm)],[f4354]) ).
fof(f4357,definition,
( sQ139_spl
<=> gt(n588,n3) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f4360,plain,
( sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f4351,f4354,f4357]) ).
fof(f4362,plain,
( ~ sQ138_spl
| gt(n3,n3) ),
inference(backward_demodulation,[status(thm)],[f4355,f341]) ).
fof(f4418,plain,
( ~ sQ138_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4362,f127]) ).
fof(f4419,plain,
~ sQ138_spl,
inference(contradiction_clause,[status(thm)],[f4418]) ).
fof(f4426,plain,
( gt(n1000,n3)
| n3 = n1000 ),
inference(resolution,[status(thm)],[f2405,f143]) ).
fof(f4428,plain,
! [X0] :
( leq(X0,n1000)
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f2405,f131]) ).
fof(f4429,definition,
( sQ140_spl
<=> n3 = n1000 ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f4430,plain,
( ~ sQ140_spl
| n3 = n1000 ),
inference(component_clause,[status(thm)],[f4429]) ).
fof(f4432,definition,
( sQ141_spl
<=> gt(n1000,n3) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f4435,plain,
( sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f4426,f4429,f4432]) ).
fof(f4437,plain,
( ~ sQ140_spl
| gt(n3,n3) ),
inference(backward_demodulation,[status(thm)],[f4430,f346]) ).
fof(f4501,plain,
( ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4437,f127]) ).
fof(f4502,plain,
~ sQ140_spl,
inference(contradiction_clause,[status(thm)],[f4501]) ).
fof(f4504,plain,
( gt(n4,n1)
| n1 = n4 ),
inference(resolution,[status(thm)],[f3837,f143]) ).
fof(f4506,plain,
! [X0] :
( leq(X0,n4)
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f3837,f131]) ).
fof(f4507,definition,
( sQ142_spl
<=> gt(n4,n1) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f4510,plain,
( sQ142_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f4504,f3855,f4507]) ).
fof(f4514,plain,
( gt(n4,n3)
| n3 = n4 ),
inference(resolution,[status(thm)],[f2333,f143]) ).
fof(f4516,plain,
! [X0] :
( leq(X0,n4)
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f2333,f131]) ).
fof(f4517,definition,
( sQ143_spl
<=> n3 = n4 ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f4518,plain,
( ~ sQ143_spl
| n3 = n4 ),
inference(component_clause,[status(thm)],[f4517]) ).
fof(f4519,plain,
( sQ143_spl
| n3 != n4 ),
inference(component_clause,[status(thm)],[f4517]) ).
fof(f4520,definition,
( sQ144_spl
<=> gt(n4,n3) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f4523,plain,
( sQ144_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f4514,f4517,f4520]) ).
fof(f4525,plain,
( ~ sQ143_spl
| gt(n3,n3) ),
inference(backward_demodulation,[status(thm)],[f4518,f342]) ).
fof(f4602,plain,
( ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4525,f127]) ).
fof(f4603,plain,
~ sQ143_spl,
inference(contradiction_clause,[status(thm)],[f4602]) ).
fof(f4610,plain,
( gt(n3,n2)
| n2 = n3 ),
inference(resolution,[status(thm)],[f2327,f143]) ).
fof(f4612,plain,
! [X0] :
( leq(X0,n3)
| ~ leq(X0,n2) ),
inference(resolution,[status(thm)],[f2327,f131]) ).
fof(f4613,definition,
( sQ145_spl
<=> n2 = n3 ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f4614,plain,
( ~ sQ145_spl
| n2 = n3 ),
inference(component_clause,[status(thm)],[f4613]) ).
fof(f4615,plain,
( sQ145_spl
| n2 != n3 ),
inference(component_clause,[status(thm)],[f4613]) ).
fof(f4616,definition,
( sQ146_spl
<=> gt(n3,n2) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f4619,plain,
( sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f4610,f4613,f4616]) ).
fof(f4621,plain,
( ~ sQ145_spl
| gt(n2,n2) ),
inference(backward_demodulation,[status(thm)],[f4614,f340]) ).
fof(f4693,plain,
leq(n1,n2),
inference(resolution,[status(thm)],[f331,f141]) ).
fof(f4695,plain,
! [X0] :
( gt(X0,n1)
| ~ gt(X0,n2) ),
inference(resolution,[status(thm)],[f331,f126]) ).
fof(f4742,plain,
( ~ sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4621,f127]) ).
fof(f4743,plain,
~ sQ145_spl,
inference(contradiction_clause,[status(thm)],[f4742]) ).
fof(f4744,plain,
( ~ sQ18_spl
| pred(n6) = n1
| pred(n6) = n0
| ~ leq(pred(n6),n1) ),
inference(resolution,[status(thm)],[f2155,f356]) ).
fof(f4745,plain,
( ~ sQ18_spl
| pred(n6) = n0
| ~ leq(pred(n6),n0) ),
inference(resolution,[status(thm)],[f2155,f354]) ).
fof(f4747,plain,
( ~ sQ18_spl
| gt(pred(n6),n0)
| n0 = pred(n6) ),
inference(resolution,[status(thm)],[f2155,f143]) ).
fof(f4750,definition,
( sQ147_spl
<=> leq(pred(n6),n1) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f4753,definition,
( sQ148_spl
<=> pred(n6) = n0 ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f4754,plain,
( ~ sQ148_spl
| pred(n6) = n0 ),
inference(component_clause,[status(thm)],[f4753]) ).
fof(f4756,definition,
( sQ149_spl
<=> pred(n6) = n1 ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f4757,plain,
( ~ sQ149_spl
| pred(n6) = n1 ),
inference(component_clause,[status(thm)],[f4756]) ).
fof(f4759,plain,
( ~ sQ18_spl
| sQ149_spl
| sQ148_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f4744,f4750,f4753,f4756,f1257]) ).
fof(f4760,definition,
( sQ150_spl
<=> leq(pred(n6),n0) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f4763,plain,
( ~ sQ18_spl
| sQ148_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f4745,f4760,f4753,f1257]) ).
fof(f4764,definition,
( sQ151_spl
<=> gt(pred(n6),n0) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f4767,plain,
( ~ sQ18_spl
| sQ151_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f4747,f4753,f4764,f1257]) ).
fof(f4795,plain,
( n6 = n2
| n6 = n1
| n6 = n0
| ~ leq(n6,n2) ),
inference(resolution,[status(thm)],[f358,f2294]) ).
fof(f4796,plain,
( n7 = n2
| n7 = n1
| n7 = n0
| ~ leq(n7,n2) ),
inference(resolution,[status(thm)],[f358,f2204]) ).
fof(f4798,plain,
( ~ sQ10_spl
| pv5 = n2
| pv5 = n1
| pv5 = n0
| ~ leq(pv5,n2) ),
inference(resolution,[status(thm)],[f358,f1226]) ).
fof(f4804,definition,
( sQ152_spl
<=> leq(n6,n2) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f4807,definition,
( sQ153_spl
<=> n6 = n2 ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f4808,plain,
( ~ sQ153_spl
| n6 = n2 ),
inference(component_clause,[status(thm)],[f4807]) ).
fof(f4809,plain,
( sQ153_spl
| n6 != n2 ),
inference(component_clause,[status(thm)],[f4807]) ).
fof(f4810,plain,
( sQ153_spl
| sQ108_spl
| sQ107_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f4795,f4804,f3449,f3452,f4807]) ).
fof(f4811,definition,
( sQ154_spl
<=> leq(n7,n2) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f4814,definition,
( sQ155_spl
<=> n7 = n2 ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f4815,plain,
( ~ sQ155_spl
| n7 = n2 ),
inference(component_clause,[status(thm)],[f4814]) ).
fof(f4817,plain,
( sQ155_spl
| sQ112_spl
| sQ68_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f4796,f4811,f2353,f3536,f4814]) ).
fof(f4819,definition,
( sQ156_spl
<=> leq(pv5,n2) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f4821,plain,
( sQ156_spl
| ~ leq(pv5,n2) ),
inference(component_clause,[status(thm)],[f4819]) ).
fof(f4822,definition,
( sQ157_spl
<=> pv5 = n2 ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f4823,plain,
( ~ sQ157_spl
| pv5 = n2 ),
inference(component_clause,[status(thm)],[f4822]) ).
fof(f4825,plain,
( ~ sQ10_spl
| sQ157_spl
| sQ120_spl
| sQ65_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f4798,f4819,f2181,f3800,f4822,f1225]) ).
fof(f4826,definition,
( sQ158_spl
<=> leq(n1,n2) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f4828,plain,
( sQ158_spl
| ~ leq(n1,n2) ),
inference(component_clause,[status(thm)],[f4826]) ).
fof(f4841,plain,
( ~ sQ112_spl
| sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3552,f3372]) ).
fof(f4842,plain,
( ~ sQ112_spl
| sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f4841]) ).
fof(f4851,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4001,f127]) ).
fof(f4852,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f4851]) ).
fof(f4857,plain,
( gt(n6,n2)
| n2 = n6 ),
inference(resolution,[status(thm)],[f2318,f143]) ).
fof(f4859,plain,
! [X0] :
( leq(X0,n6)
| ~ leq(X0,n2) ),
inference(resolution,[status(thm)],[f2318,f131]) ).
fof(f4860,definition,
( sQ159_spl
<=> gt(n6,n2) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f4863,plain,
( sQ159_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f4857,f4807,f4860]) ).
fof(f4865,plain,
( ~ sQ153_spl
| gt(n2,n2) ),
inference(backward_demodulation,[status(thm)],[f4808,f337]) ).
fof(f4922,plain,
( ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4865,f127]) ).
fof(f4923,plain,
~ sQ153_spl,
inference(contradiction_clause,[status(thm)],[f4922]) ).
fof(f4927,plain,
( gt(n7,n2)
| n2 = n7 ),
inference(resolution,[status(thm)],[f2321,f143]) ).
fof(f4929,plain,
! [X0] :
( leq(X0,n7)
| ~ leq(X0,n2) ),
inference(resolution,[status(thm)],[f2321,f131]) ).
fof(f4930,definition,
( sQ160_spl
<=> gt(n7,n2) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f4933,plain,
( sQ160_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f4927,f4814,f4930]) ).
fof(f4935,plain,
( ~ sQ155_spl
| gt(n2,n2) ),
inference(backward_demodulation,[status(thm)],[f4815,f338]) ).
fof(f4985,plain,
( ~ sQ155_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4935,f127]) ).
fof(f4986,plain,
~ sQ155_spl,
inference(contradiction_clause,[status(thm)],[f4985]) ).
fof(f5001,plain,
( gt(n5,n2)
| n2 = n5 ),
inference(resolution,[status(thm)],[f2315,f143]) ).
fof(f5003,plain,
! [X0] :
( leq(X0,n5)
| ~ leq(X0,n2) ),
inference(resolution,[status(thm)],[f2315,f131]) ).
fof(f5004,definition,
( sQ161_spl
<=> n2 = n5 ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f5005,plain,
( ~ sQ161_spl
| n2 = n5 ),
inference(component_clause,[status(thm)],[f5004]) ).
fof(f5006,plain,
( sQ161_spl
| n2 != n5 ),
inference(component_clause,[status(thm)],[f5004]) ).
fof(f5007,definition,
( sQ162_spl
<=> gt(n5,n2) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f5010,plain,
( sQ162_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f5001,f5004,f5007]) ).
fof(f5012,plain,
( ~ sQ161_spl
| gt(n2,n2) ),
inference(backward_demodulation,[status(thm)],[f5005,f336]) ).
fof(f5071,plain,
( ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5012,f127]) ).
fof(f5072,plain,
~ sQ161_spl,
inference(contradiction_clause,[status(thm)],[f5071]) ).
fof(f5113,plain,
( gt(n588,n2)
| n2 = n588 ),
inference(resolution,[status(thm)],[f2309,f143]) ).
fof(f5116,definition,
( sQ163_spl
<=> n2 = n588 ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f5117,plain,
( ~ sQ163_spl
| n2 = n588 ),
inference(component_clause,[status(thm)],[f5116]) ).
fof(f5119,definition,
( sQ164_spl
<=> gt(n588,n2) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f5122,plain,
( sQ164_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f5113,f5116,f5119]) ).
fof(f5124,plain,
( ~ sQ163_spl
| gt(n2,n2) ),
inference(backward_demodulation,[status(thm)],[f5117,f334]) ).
fof(f5172,plain,
( ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5124,f127]) ).
fof(f5173,plain,
~ sQ163_spl,
inference(contradiction_clause,[status(thm)],[f5172]) ).
fof(f5188,plain,
( gt(n1000,n2)
| n2 = n1000 ),
inference(resolution,[status(thm)],[f2324,f143]) ).
fof(f5190,plain,
! [X0] :
( leq(X0,n1000)
| ~ leq(X0,n2) ),
inference(resolution,[status(thm)],[f2324,f131]) ).
fof(f5191,definition,
( sQ165_spl
<=> n2 = n1000 ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f5192,plain,
( ~ sQ165_spl
| n2 = n1000 ),
inference(component_clause,[status(thm)],[f5191]) ).
fof(f5194,definition,
( sQ166_spl
<=> gt(n1000,n2) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f5197,plain,
( sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f5188,f5191,f5194]) ).
fof(f5199,plain,
( ~ sQ165_spl
| gt(n2,n2) ),
inference(backward_demodulation,[status(thm)],[f5192,f339]) ).
fof(f5251,plain,
( ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5199,f127]) ).
fof(f5252,plain,
~ sQ165_spl,
inference(contradiction_clause,[status(thm)],[f5251]) ).
fof(f5332,plain,
( n3 = n2
| n3 = n1
| n3 = n0
| ~ leq(n3,n2) ),
inference(resolution,[status(thm)],[f358,f2306]) ).
fof(f5341,definition,
( sQ167_spl
<=> leq(n3,n2) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f5344,plain,
( sQ145_spl
| sQ105_spl
| sQ82_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f5332,f5341,f2785,f3373,f4613]) ).
fof(f5357,plain,
( gt(n2,n1)
| n1 = n2 ),
inference(resolution,[status(thm)],[f4693,f143]) ).
fof(f5359,plain,
! [X0] :
( leq(X0,n2)
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f4693,f131]) ).
fof(f5360,definition,
( sQ168_spl
<=> gt(n2,n1) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f5363,plain,
( sQ168_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f5357,f3942,f5360]) ).
fof(f5451,plain,
( sQ18_spl
| ~ gt(n6,n0) ),
inference(resolution,[status(thm)],[f3832,f147]) ).
fof(f5452,plain,
( sQ18_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f5451,f3460,f1257]) ).
fof(f5453,plain,
( sQ158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4828,f4693]) ).
fof(f5454,plain,
sQ158_spl,
inference(contradiction_clause,[status(thm)],[f5453]) ).
fof(f5455,plain,
( ~ sQ157_spl
| ~ sQ120_spl
| n1 = n2 ),
inference(forward_demodulation,[status(thm)],[f3801,f4823]) ).
fof(f5456,plain,
( ~ sQ157_spl
| ~ sQ120_spl
| sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5455,f3944]) ).
fof(f5457,plain,
( ~ sQ157_spl
| ~ sQ120_spl
| sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f5456]) ).
fof(f5484,plain,
( gt(n6,n3)
| n3 = n6 ),
inference(resolution,[status(thm)],[f2402,f143]) ).
fof(f5486,plain,
! [X0] :
( leq(X0,n6)
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f2402,f131]) ).
fof(f5487,definition,
( sQ169_spl
<=> n3 = n6 ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f5488,plain,
( ~ sQ169_spl
| n3 = n6 ),
inference(component_clause,[status(thm)],[f5487]) ).
fof(f5490,definition,
( sQ170_spl
<=> gt(n6,n3) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f5493,plain,
( sQ170_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f5484,f5487,f5490]) ).
fof(f5495,plain,
( ~ sQ169_spl
| gt(n3,n3) ),
inference(backward_demodulation,[status(thm)],[f5488,f344]) ).
fof(f5564,plain,
( ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5495,f127]) ).
fof(f5565,plain,
~ sQ169_spl,
inference(contradiction_clause,[status(thm)],[f5564]) ).
fof(f5566,plain,
( n3 = n4
| n3 = n3
| n3 = n2
| n3 = n1
| n3 = n0
| ~ leq(n3,n4) ),
inference(resolution,[status(thm)],[f348,f2306]) ).
fof(f5568,plain,
( n7 = n4
| n7 = n3
| n7 = n2
| n7 = n1
| n7 = n0
| ~ leq(n7,n4) ),
inference(resolution,[status(thm)],[f348,f2204]) ).
fof(f5569,plain,
( n2 = n4
| n2 = n3
| n2 = n2
| n2 = n1
| n2 = n0
| ~ leq(n2,n4) ),
inference(resolution,[status(thm)],[f348,f2300]) ).
fof(f5574,plain,
( n0 = n4
| n0 = n3
| n0 = n2
| n0 = n1
| n0 = n0
| ~ leq(n0,n4) ),
inference(resolution,[status(thm)],[f348,f128]) ).
fof(f5575,definition,
( sQ171_spl
<=> leq(n3,n4) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f5577,plain,
( sQ171_spl
| ~ leq(n3,n4) ),
inference(component_clause,[status(thm)],[f5575]) ).
fof(f5578,definition,
( sQ172_spl
<=> n3 = n3 ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f5581,plain,
( sQ143_spl
| sQ172_spl
| sQ145_spl
| sQ105_spl
| sQ82_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f5566,f5575,f2785,f3373,f4613,f5578,f4517]) ).
fof(f5582,definition,
( sQ173_spl
<=> leq(n4,n4) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f5584,plain,
( sQ173_spl
| ~ leq(n4,n4) ),
inference(component_clause,[status(thm)],[f5582]) ).
fof(f5585,definition,
( sQ174_spl
<=> n4 = n4 ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f5589,definition,
( sQ175_spl
<=> leq(n7,n4) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f5591,plain,
( sQ175_spl
| ~ leq(n7,n4) ),
inference(component_clause,[status(thm)],[f5589]) ).
fof(f5592,definition,
( sQ176_spl
<=> n7 = n4 ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f5593,plain,
( ~ sQ176_spl
| n7 = n4 ),
inference(component_clause,[status(thm)],[f5592]) ).
fof(f5595,plain,
( sQ176_spl
| sQ134_spl
| sQ155_spl
| sQ112_spl
| sQ68_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f5568,f5589,f2353,f3536,f4814,f4171,f5592]) ).
fof(f5596,definition,
( sQ177_spl
<=> leq(n2,n4) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f5598,plain,
( sQ177_spl
| ~ leq(n2,n4) ),
inference(component_clause,[status(thm)],[f5596]) ).
fof(f5599,plain,
( sQ99_spl
| sQ145_spl
| sQ127_spl
| sQ126_spl
| sQ102_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f5569,f5596,f3285,f3942,f3945,f4613,f3203]) ).
fof(f5600,definition,
( sQ178_spl
<=> leq(n1,n4) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f5602,plain,
( sQ178_spl
| ~ leq(n1,n4) ),
inference(component_clause,[status(thm)],[f5600]) ).
fof(f5604,plain,
( sQ78_spl
| sQ82_spl
| sQ102_spl
| sQ66_spl
| sQ80_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f5574,f1282,f2679,f2254,f3285,f2785,f2616]) ).
fof(f5605,plain,
( sQ173_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5584,f128]) ).
fof(f5606,plain,
sQ173_spl,
inference(contradiction_clause,[status(thm)],[f5605]) ).
fof(f5607,plain,
( sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5577,f2333]) ).
fof(f5608,plain,
sQ171_spl,
inference(contradiction_clause,[status(thm)],[f5607]) ).
fof(f5609,plain,
( sQ178_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5602,f3837]) ).
fof(f5610,plain,
sQ178_spl,
inference(contradiction_clause,[status(thm)],[f5609]) ).
fof(f5611,plain,
( sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5598,f2312]) ).
fof(f5612,plain,
sQ177_spl,
inference(contradiction_clause,[status(thm)],[f5611]) ).
fof(f5656,plain,
( ~ sQ176_spl
| gt(n4,n4) ),
inference(backward_demodulation,[status(thm)],[f5593,f296]) ).
fof(f5667,plain,
( sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1284,f2231]) ).
fof(f5668,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f5667]) ).
fof(f5670,plain,
( ~ sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5656,f127]) ).
fof(f5671,plain,
~ sQ176_spl,
inference(contradiction_clause,[status(thm)],[f5670]) ).
fof(f5673,plain,
( n4 = n3
| n4 = n2
| n4 = n1
| n4 = n0
| ~ leq(n4,n3) ),
inference(resolution,[status(thm)],[f360,f2231]) ).
fof(f5680,definition,
( sQ179_spl
<=> leq(n3,n3) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f5682,plain,
( sQ179_spl
| ~ leq(n3,n3) ),
inference(component_clause,[status(thm)],[f5680]) ).
fof(f5684,definition,
( sQ180_spl
<=> leq(n4,n3) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f5686,plain,
( sQ180_spl
| ~ leq(n4,n3) ),
inference(component_clause,[status(thm)],[f5684]) ).
fof(f5687,plain,
( sQ143_spl
| sQ99_spl
| sQ123_spl
| sQ78_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f5673,f5684,f2616,f3855,f3203,f4517]) ).
fof(f5688,definition,
( sQ181_spl
<=> leq(n2,n3) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f5690,plain,
( sQ181_spl
| ~ leq(n2,n3) ),
inference(component_clause,[status(thm)],[f5688]) ).
fof(f5692,definition,
( sQ182_spl
<=> leq(n1,n3) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f5694,plain,
( sQ182_spl
| ~ leq(n1,n3) ),
inference(component_clause,[status(thm)],[f5692]) ).
fof(f5697,plain,
( sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5694,f3362]) ).
fof(f5698,plain,
sQ182_spl,
inference(contradiction_clause,[status(thm)],[f5697]) ).
fof(f5699,plain,
( sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5690,f2327]) ).
fof(f5700,plain,
sQ181_spl,
inference(contradiction_clause,[status(thm)],[f5699]) ).
fof(f5701,plain,
( sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5682,f128]) ).
fof(f5702,plain,
sQ179_spl,
inference(contradiction_clause,[status(thm)],[f5701]) ).
fof(f5710,plain,
( n5 = n3
| n5 = n2
| n5 = n1
| n5 = n0
| ~ leq(n5,n3) ),
inference(resolution,[status(thm)],[f2291,f360]) ).
fof(f5711,plain,
( n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| n5 = n0
| ~ leq(n5,n4) ),
inference(resolution,[status(thm)],[f2291,f348]) ).
fof(f5712,plain,
( n5 = n2
| n5 = n1
| n5 = n0
| ~ leq(n5,n2) ),
inference(resolution,[status(thm)],[f2291,f358]) ).
fof(f5718,definition,
( sQ183_spl
<=> leq(n5,n3) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f5721,plain,
( sQ136_spl
| sQ161_spl
| sQ114_spl
| sQ90_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f5710,f5718,f2991,f3601,f5004,f4248]) ).
fof(f5722,definition,
( sQ184_spl
<=> leq(n5,n4) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f5725,plain,
( sQ72_spl
| sQ136_spl
| sQ161_spl
| sQ114_spl
| sQ90_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f5711,f5722,f2991,f3601,f5004,f4248,f2461]) ).
fof(f5726,definition,
( sQ185_spl
<=> leq(n5,n2) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f5729,plain,
( sQ161_spl
| sQ114_spl
| sQ90_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f5712,f5726,f2991,f3601,f5004]) ).
fof(f5733,plain,
( ~ sQ114_spl
| n2 = n6 ),
inference(forward_demodulation,[status(thm)],[f2149,f3619]) ).
fof(f5734,plain,
( ~ sQ114_spl
| sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5733,f4809]) ).
fof(f5735,plain,
( ~ sQ114_spl
| sQ153_spl ),
inference(contradiction_clause,[status(thm)],[f5734]) ).
fof(f5783,plain,
( ~ sQ10_spl
| pv5 = n3
| pv5 = n2
| pv5 = n1
| pv5 = n0
| ~ leq(pv5,n3) ),
inference(resolution,[status(thm)],[f1226,f360]) ).
fof(f5784,plain,
( ~ sQ10_spl
| pv5 = n4
| pv5 = n3
| pv5 = n2
| pv5 = n1
| pv5 = n0
| ~ leq(pv5,n4) ),
inference(resolution,[status(thm)],[f1226,f348]) ).
fof(f5791,definition,
( sQ186_spl
<=> leq(pv5,n3) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f5792,plain,
( ~ sQ186_spl
| leq(pv5,n3) ),
inference(component_clause,[status(thm)],[f5791]) ).
fof(f5793,plain,
( sQ186_spl
| ~ leq(pv5,n3) ),
inference(component_clause,[status(thm)],[f5791]) ).
fof(f5794,definition,
( sQ187_spl
<=> pv5 = n3 ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f5795,plain,
( ~ sQ187_spl
| pv5 = n3 ),
inference(component_clause,[status(thm)],[f5794]) ).
fof(f5797,plain,
( ~ sQ10_spl
| sQ187_spl
| sQ157_spl
| sQ120_spl
| sQ65_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f5783,f5791,f2181,f3800,f4822,f5794,f1225]) ).
fof(f5798,definition,
( sQ188_spl
<=> leq(pv5,n4) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f5800,plain,
( sQ188_spl
| ~ leq(pv5,n4) ),
inference(component_clause,[status(thm)],[f5798]) ).
fof(f5801,definition,
( sQ189_spl
<=> pv5 = n4 ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f5802,plain,
( ~ sQ189_spl
| pv5 = n4 ),
inference(component_clause,[status(thm)],[f5801]) ).
fof(f5804,plain,
( ~ sQ10_spl
| sQ189_spl
| sQ187_spl
| sQ157_spl
| sQ120_spl
| sQ65_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f5784,f5798,f2181,f3800,f4822,f5794,f5801,f1225]) ).
fof(f5819,plain,
( ~ sQ189_spl
| ~ sQ187_spl
| n3 = n4 ),
inference(forward_demodulation,[status(thm)],[f5795,f5802]) ).
fof(f5820,plain,
( ~ sQ189_spl
| ~ sQ187_spl
| sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5819,f4519]) ).
fof(f5821,plain,
( ~ sQ189_spl
| ~ sQ187_spl
| sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f5820]) ).
fof(f5822,plain,
( sQ186_spl
| ~ sQ120_spl
| ~ leq(n1,n3) ),
inference(backward_demodulation,[status(thm)],[f3801,f5793]) ).
fof(f5823,plain,
( sQ188_spl
| ~ sQ120_spl
| ~ leq(n1,n4) ),
inference(backward_demodulation,[status(thm)],[f3801,f5800]) ).
fof(f5828,plain,
( sQ156_spl
| ~ sQ120_spl
| ~ leq(n1,n2) ),
inference(forward_demodulation,[status(thm)],[f3801,f4821]) ).
fof(f5829,plain,
( sQ156_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5828,f4693]) ).
fof(f5830,plain,
( sQ156_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f5829]) ).
fof(f5839,plain,
( sQ186_spl
| ~ sQ120_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f5822,f5692,f3800,f5791]) ).
fof(f5840,plain,
( sQ188_spl
| ~ sQ120_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f5823,f5600,f3800,f5798]) ).
fof(f5847,plain,
( sQ19_spl
| ~ gt(n4,n1) ),
inference(resolution,[status(thm)],[f4074,f147]) ).
fof(f5848,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5847,f327]) ).
fof(f5849,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f5848]) ).
fof(f5850,plain,
( sQ20_spl
| ~ leq(n1,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f246,f1265]) ).
fof(f5852,plain,
leq(n1,n5),
inference(resolution,[status(thm)],[f328,f141]) ).
fof(f5863,plain,
( n588 = n3
| n588 = n2
| n588 = n1
| n588 = n0
| ~ leq(n588,n3) ),
inference(resolution,[status(thm)],[f2238,f360]) ).
fof(f5864,plain,
( n588 = n4
| n588 = n3
| n588 = n2
| n588 = n1
| n588 = n0
| ~ leq(n588,n4) ),
inference(resolution,[status(thm)],[f2238,f348]) ).
fof(f5865,plain,
( n588 = n2
| n588 = n1
| n588 = n0
| ~ leq(n588,n2) ),
inference(resolution,[status(thm)],[f2238,f358]) ).
fof(f5871,definition,
( sQ190_spl
<=> leq(n588,n3) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f5873,plain,
( sQ190_spl
| ~ leq(n588,n3) ),
inference(component_clause,[status(thm)],[f5871]) ).
fof(f5874,plain,
( sQ138_spl
| sQ163_spl
| sQ116_spl
| sQ74_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f5863,f5871,f2518,f3673,f5116,f4354]) ).
fof(f5875,definition,
( sQ191_spl
<=> leq(n588,n4) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f5878,definition,
( sQ192_spl
<=> n588 = n4 ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f5879,plain,
( ~ sQ192_spl
| n588 = n4 ),
inference(component_clause,[status(thm)],[f5878]) ).
fof(f5881,plain,
( sQ192_spl
| sQ138_spl
| sQ163_spl
| sQ116_spl
| sQ74_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f5864,f5875,f2518,f3673,f5116,f4354,f5878]) ).
fof(f5882,definition,
( sQ193_spl
<=> leq(n588,n2) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f5885,plain,
( sQ163_spl
| sQ116_spl
| sQ74_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f5865,f5882,f2518,f3673,f5116]) ).
fof(f5896,plain,
( ~ sQ192_spl
| leq(n7,n4) ),
inference(backward_demodulation,[status(thm)],[f5879,f2239]) ).
fof(f5942,plain,
( ~ sQ116_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f3688,f3533,f3673]) ).
fof(f5953,plain,
( n1000 = n3
| n1000 = n2
| n1000 = n1
| n1000 = n0
| ~ leq(n1000,n3) ),
inference(resolution,[status(thm)],[f2303,f360]) ).
fof(f5954,plain,
( n1000 = n4
| n1000 = n3
| n1000 = n2
| n1000 = n1
| n1000 = n0
| ~ leq(n1000,n4) ),
inference(resolution,[status(thm)],[f2303,f348]) ).
fof(f5955,plain,
( n1000 = n2
| n1000 = n1
| n1000 = n0
| ~ leq(n1000,n2) ),
inference(resolution,[status(thm)],[f2303,f358]) ).
fof(f5961,definition,
( sQ194_spl
<=> leq(n1000,n3) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f5964,plain,
( sQ140_spl
| sQ165_spl
| sQ118_spl
| sQ96_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f5953,f5961,f3130,f3736,f5191,f4429]) ).
fof(f5965,definition,
( sQ195_spl
<=> leq(n1000,n4) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f5968,plain,
( sQ76_spl
| sQ140_spl
| sQ165_spl
| sQ118_spl
| sQ96_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f5954,f5965,f3130,f3736,f5191,f4429,f2566]) ).
fof(f5969,definition,
( sQ196_spl
<=> leq(n1000,n2) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f5972,plain,
( sQ165_spl
| sQ118_spl
| sQ96_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f5955,f5969,f3130,f3736,f5191]) ).
fof(f5976,plain,
( ~ sQ118_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f3751,f3670,f3736]) ).
fof(f5982,plain,
( n1000 = n5
| n1000 = n4
| n1000 = n3
| n1000 = n2
| n1000 = n1
| n1000 = n0
| ~ leq(n1000,n5) ),
inference(resolution,[status(thm)],[f350,f2303]) ).
fof(f5983,plain,
( n5 = n5
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| n5 = n0
| ~ leq(n5,n5) ),
inference(resolution,[status(thm)],[f350,f2291]) ).
fof(f5985,plain,
( n4 = n5
| n4 = n4
| n4 = n3
| n4 = n2
| n4 = n1
| n4 = n0
| ~ leq(n4,n5) ),
inference(resolution,[status(thm)],[f350,f2231]) ).
fof(f5992,definition,
( sQ197_spl
<=> leq(n1000,n5) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f5995,definition,
( sQ198_spl
<=> n1000 = n5 ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f5996,plain,
( ~ sQ198_spl
| n1000 = n5 ),
inference(component_clause,[status(thm)],[f5995]) ).
fof(f5998,plain,
( sQ198_spl
| sQ76_spl
| sQ140_spl
| sQ165_spl
| sQ118_spl
| sQ96_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f5982,f5992,f3130,f3736,f5191,f4429,f2566,f5995]) ).
fof(f5999,definition,
( sQ199_spl
<=> leq(n5,n5) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f6001,plain,
( sQ199_spl
| ~ leq(n5,n5) ),
inference(component_clause,[status(thm)],[f5999]) ).
fof(f6002,definition,
( sQ200_spl
<=> n5 = n5 ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f6005,plain,
( sQ200_spl
| sQ72_spl
| sQ136_spl
| sQ161_spl
| sQ114_spl
| sQ90_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f5983,f5999,f2991,f3601,f5004,f4248,f2461,f6002]) ).
fof(f6006,definition,
( sQ201_spl
<=> leq(n3,n5) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f6008,plain,
( sQ201_spl
| ~ leq(n3,n5) ),
inference(component_clause,[status(thm)],[f6006]) ).
fof(f6010,definition,
( sQ202_spl
<=> leq(n4,n5) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f6012,plain,
( sQ202_spl
| ~ leq(n4,n5) ),
inference(component_clause,[status(thm)],[f6010]) ).
fof(f6013,plain,
( sQ72_spl
| sQ174_spl
| sQ143_spl
| sQ99_spl
| sQ123_spl
| sQ78_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f5985,f6010,f2616,f3855,f3203,f4517,f5585,f2461]) ).
fof(f6014,definition,
( sQ203_spl
<=> leq(n2,n5) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f6016,plain,
( sQ203_spl
| ~ leq(n2,n5) ),
inference(component_clause,[status(thm)],[f6014]) ).
fof(f6018,definition,
( sQ204_spl
<=> leq(n1,n5) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f6020,plain,
( sQ204_spl
| ~ leq(n1,n5) ),
inference(component_clause,[status(thm)],[f6018]) ).
fof(f6023,plain,
( sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6001,f128]) ).
fof(f6024,plain,
sQ199_spl,
inference(contradiction_clause,[status(thm)],[f6023]) ).
fof(f6025,plain,
( sQ204_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6020,f5852]) ).
fof(f6026,plain,
sQ204_spl,
inference(contradiction_clause,[status(thm)],[f6025]) ).
fof(f6027,plain,
( sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6016,f2315]) ).
fof(f6028,plain,
sQ203_spl,
inference(contradiction_clause,[status(thm)],[f6027]) ).
fof(f6029,plain,
( sQ202_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6012,f2237]) ).
fof(f6030,plain,
sQ202_spl,
inference(contradiction_clause,[status(thm)],[f6029]) ).
fof(f6031,plain,
( sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6008,f2399]) ).
fof(f6032,plain,
sQ201_spl,
inference(contradiction_clause,[status(thm)],[f6031]) ).
fof(f6083,plain,
( ~ sQ198_spl
| gt(n5,n5) ),
inference(backward_demodulation,[status(thm)],[f5996,f301]) ).
fof(f6091,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1287,f2291]) ).
fof(f6092,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f6091]) ).
fof(f6094,plain,
( ~ sQ198_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6083,f127]) ).
fof(f6095,plain,
~ sQ198_spl,
inference(contradiction_clause,[status(thm)],[f6094]) ).
fof(f6116,plain,
( n6 = n5
| n6 = n4
| n6 = n3
| n6 = n2
| n6 = n1
| n6 = n0
| ~ leq(n6,n5) ),
inference(resolution,[status(thm)],[f2294,f350]) ).
fof(f6117,plain,
( n6 = n3
| n6 = n2
| n6 = n1
| n6 = n0
| ~ leq(n6,n3) ),
inference(resolution,[status(thm)],[f2294,f360]) ).
fof(f6118,plain,
( n6 = n4
| n6 = n3
| n6 = n2
| n6 = n1
| n6 = n0
| ~ leq(n6,n4) ),
inference(resolution,[status(thm)],[f2294,f348]) ).
fof(f6125,definition,
( sQ205_spl
<=> leq(n6,n5) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f6128,definition,
( sQ206_spl
<=> n6 = n4 ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f6129,plain,
( ~ sQ206_spl
| n6 = n4 ),
inference(component_clause,[status(thm)],[f6128]) ).
fof(f6131,plain,
( sQ70_spl
| sQ206_spl
| sQ169_spl
| sQ153_spl
| sQ108_spl
| sQ107_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f6116,f6125,f3449,f3452,f4807,f5487,f6128,f2411]) ).
fof(f6132,definition,
( sQ207_spl
<=> leq(n6,n3) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f6135,plain,
( sQ169_spl
| sQ153_spl
| sQ108_spl
| sQ107_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f6117,f6132,f3449,f3452,f4807,f5487]) ).
fof(f6136,definition,
( sQ208_spl
<=> leq(n6,n4) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f6138,plain,
( sQ208_spl
| ~ leq(n6,n4) ),
inference(component_clause,[status(thm)],[f6136]) ).
fof(f6139,plain,
( sQ206_spl
| sQ169_spl
| sQ153_spl
| sQ108_spl
| sQ107_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f6118,f6136,f3449,f3452,f4807,f5487,f6128]) ).
fof(f6171,plain,
( ~ sQ206_spl
| gt(n4,n4) ),
inference(backward_demodulation,[status(thm)],[f6129,f295]) ).
fof(f6307,plain,
( n7 = n5
| n7 = n4
| n7 = n3
| n7 = n2
| n7 = n1
| n7 = n0
| ~ leq(n7,n5) ),
inference(resolution,[status(thm)],[f2204,f350]) ).
fof(f6308,plain,
( n7 = n3
| n7 = n2
| n7 = n1
| n7 = n0
| ~ leq(n7,n3) ),
inference(resolution,[status(thm)],[f2204,f360]) ).
fof(f6316,definition,
( sQ209_spl
<=> leq(n7,n5) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f6319,plain,
( sQ87_spl
| sQ176_spl
| sQ134_spl
| sQ155_spl
| sQ112_spl
| sQ68_spl
| ~ sQ209_spl ),
inference(split_clause,[status(thm)],[f6307,f6316,f2353,f3536,f4814,f4171,f5592,f2932]) ).
fof(f6320,definition,
( sQ210_spl
<=> leq(n7,n3) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f6323,plain,
( sQ134_spl
| sQ155_spl
| sQ112_spl
| sQ68_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f6308,f6320,f2353,f3536,f4814,f4171]) ).
fof(f6330,plain,
( ~ sQ19_spl
| gt(pred(n4),n1)
| n1 = pred(n4) ),
inference(resolution,[status(thm)],[f2156,f143]) ).
fof(f6333,definition,
( sQ211_spl
<=> n1 = pred(n4) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f6334,plain,
( ~ sQ211_spl
| n1 = pred(n4) ),
inference(component_clause,[status(thm)],[f6333]) ).
fof(f6336,definition,
( sQ212_spl
<=> gt(pred(n4),n1) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f6339,plain,
( ~ sQ19_spl
| sQ212_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f6330,f6333,f6336,f1260]) ).
fof(f6357,plain,
leq(n1,n7),
inference(resolution,[status(thm)],[f330,f141]) ).
fof(f6360,plain,
( gt(n7,n4)
| n4 = n7 ),
inference(resolution,[status(thm)],[f2234,f143]) ).
fof(f6362,plain,
! [X0] :
( leq(X0,n7)
| ~ leq(X0,n4) ),
inference(resolution,[status(thm)],[f2234,f131]) ).
fof(f6363,definition,
( sQ213_spl
<=> gt(n7,n4) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f6366,plain,
( sQ213_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f6360,f5592,f6363]) ).
fof(f6377,plain,
leq(n1,n588),
inference(resolution,[status(thm)],[f326,f141]) ).
fof(f6403,plain,
( gt(n5,n1)
| n1 = n5 ),
inference(resolution,[status(thm)],[f5852,f143]) ).
fof(f6405,plain,
! [X0] :
( leq(X0,n5)
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f5852,f131]) ).
fof(f6406,definition,
( sQ214_spl
<=> gt(n5,n1) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f6409,plain,
( sQ214_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f6403,f3601,f6406]) ).
fof(f6410,plain,
( n588 = n5
| n588 = n4
| n588 = n3
| n588 = n2
| n588 = n1
| n588 = n0
| ~ leq(n588,n5) ),
inference(resolution,[status(thm)],[f2238,f350]) ).
fof(f6419,definition,
( sQ215_spl
<=> leq(n588,n5) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f6422,definition,
( sQ216_spl
<=> n588 = n5 ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f6423,plain,
( ~ sQ216_spl
| n588 = n5 ),
inference(component_clause,[status(thm)],[f6422]) ).
fof(f6425,plain,
( sQ216_spl
| sQ192_spl
| sQ138_spl
| sQ163_spl
| sQ116_spl
| sQ74_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f6410,f6419,f2518,f3673,f5116,f4354,f5878,f6422]) ).
fof(f6459,plain,
( ~ sQ216_spl
| gt(n5,n5) ),
inference(backward_demodulation,[status(thm)],[f6423,f298]) ).
fof(f6490,plain,
( ~ sQ192_spl
| sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5896,f5591]) ).
fof(f6491,plain,
( ~ sQ192_spl
| sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f6490]) ).
fof(f6548,plain,
( ~ sQ10_spl
| pv5 = n5
| pv5 = n4
| pv5 = n3
| pv5 = n2
| pv5 = n1
| pv5 = n0
| ~ leq(pv5,n5) ),
inference(resolution,[status(thm)],[f1226,f350]) ).
fof(f6557,definition,
( sQ217_spl
<=> leq(pv5,n5) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f6558,plain,
( ~ sQ217_spl
| leq(pv5,n5) ),
inference(component_clause,[status(thm)],[f6557]) ).
fof(f6559,plain,
( sQ217_spl
| ~ leq(pv5,n5) ),
inference(component_clause,[status(thm)],[f6557]) ).
fof(f6560,definition,
( sQ218_spl
<=> pv5 = n5 ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f6561,plain,
( ~ sQ218_spl
| pv5 = n5 ),
inference(component_clause,[status(thm)],[f6560]) ).
fof(f6563,plain,
( ~ sQ10_spl
| sQ218_spl
| sQ189_spl
| sQ187_spl
| sQ157_spl
| sQ120_spl
| sQ65_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f6548,f6557,f2181,f3800,f4822,f5794,f5801,f6560,f1225]) ).
fof(f6585,plain,
( sQ217_spl
| ~ sQ218_spl
| ~ leq(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f6561,f6559]) ).
fof(f6586,plain,
( sQ217_spl
| ~ sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6585,f128]) ).
fof(f6587,plain,
( sQ217_spl
| ~ sQ218_spl ),
inference(contradiction_clause,[status(thm)],[f6586]) ).
fof(f6596,plain,
( gt(n1000,n7)
| n7 = n1000 ),
inference(resolution,[status(thm)],[f2243,f143]) ).
fof(f6598,plain,
! [X0] :
( leq(X0,n1000)
| ~ leq(X0,n7) ),
inference(resolution,[status(thm)],[f2243,f131]) ).
fof(f6599,definition,
( sQ219_spl
<=> n7 = n1000 ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f6600,plain,
( ~ sQ219_spl
| n7 = n1000 ),
inference(component_clause,[status(thm)],[f6599]) ).
fof(f6602,definition,
( sQ220_spl
<=> gt(n1000,n7) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f6605,plain,
( sQ220_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f6596,f6599,f6602]) ).
fof(f6646,plain,
( ~ sQ219_spl
| gt(n1000,n1000) ),
inference(backward_demodulation,[status(thm)],[f6600,f306]) ).
fof(f6674,plain,
leq(n1,n1000),
inference(resolution,[status(thm)],[f332,f141]) ).
fof(f6685,plain,
( ~ sQ219_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6646,f127]) ).
fof(f6686,plain,
~ sQ219_spl,
inference(contradiction_clause,[status(thm)],[f6685]) ).
fof(f6698,plain,
( gt(n1000,n5)
| n5 = n1000 ),
inference(resolution,[status(thm)],[f2245,f143]) ).
fof(f6700,plain,
! [X0] :
( leq(X0,n1000)
| ~ leq(X0,n5) ),
inference(resolution,[status(thm)],[f2245,f131]) ).
fof(f6701,definition,
( sQ221_spl
<=> gt(n1000,n5) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f6704,plain,
( sQ221_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f6698,f5995,f6701]) ).
fof(f6791,plain,
( n1000 = n6
| n1000 = n5
| n1000 = n4
| n1000 = n3
| n1000 = n2
| n1000 = n1
| n1000 = n0
| ~ leq(n1000,n6) ),
inference(resolution,[status(thm)],[f352,f2303]) ).
fof(f6808,definition,
( sQ224_spl
<=> leq(n1000,n6) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f6811,definition,
( sQ225_spl
<=> n1000 = n6 ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f6812,plain,
( ~ sQ225_spl
| n1000 = n6 ),
inference(component_clause,[status(thm)],[f6811]) ).
fof(f6814,plain,
( sQ225_spl
| sQ198_spl
| sQ76_spl
| sQ140_spl
| sQ165_spl
| sQ118_spl
| sQ96_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f6791,f6808,f3130,f3736,f5191,f4429,f2566,f5995,f6811]) ).
fof(f6815,definition,
( sQ226_spl
<=> leq(n5,n6) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f6817,plain,
( sQ226_spl
| ~ leq(n5,n6) ),
inference(component_clause,[status(thm)],[f6815]) ).
fof(f6819,definition,
( sQ227_spl
<=> leq(n3,n6) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f6821,plain,
( sQ227_spl
| ~ leq(n3,n6) ),
inference(component_clause,[status(thm)],[f6819]) ).
fof(f6823,definition,
( sQ228_spl
<=> leq(n4,n6) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f6824,plain,
( ~ sQ228_spl
| leq(n4,n6) ),
inference(component_clause,[status(thm)],[f6823]) ).
fof(f6825,plain,
( sQ228_spl
| ~ leq(n4,n6) ),
inference(component_clause,[status(thm)],[f6823]) ).
fof(f6827,definition,
( sQ229_spl
<=> leq(n2,n6) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f6829,plain,
( sQ229_spl
| ~ leq(n2,n6) ),
inference(component_clause,[status(thm)],[f6827]) ).
fof(f6831,definition,
( sQ230_spl
<=> leq(n1,n6) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f6832,plain,
( ~ sQ230_spl
| leq(n1,n6) ),
inference(component_clause,[status(thm)],[f6831]) ).
fof(f6833,plain,
( sQ230_spl
| ~ leq(n1,n6) ),
inference(component_clause,[status(thm)],[f6831]) ).
fof(f6836,plain,
( sQ230_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6833,f3438]) ).
fof(f6837,plain,
sQ230_spl,
inference(contradiction_clause,[status(thm)],[f6836]) ).
fof(f6838,plain,
( sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6829,f2318]) ).
fof(f6839,plain,
sQ229_spl,
inference(contradiction_clause,[status(thm)],[f6838]) ).
fof(f6840,plain,
( sQ228_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6825,f2236]) ).
fof(f6841,plain,
sQ228_spl,
inference(contradiction_clause,[status(thm)],[f6840]) ).
fof(f6842,plain,
( sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6821,f2402]) ).
fof(f6843,plain,
sQ227_spl,
inference(contradiction_clause,[status(thm)],[f6842]) ).
fof(f6844,plain,
( sQ226_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6817,f2235]) ).
fof(f6845,plain,
sQ226_spl,
inference(contradiction_clause,[status(thm)],[f6844]) ).
fof(f6848,plain,
( ~ sQ225_spl
| gt(n1000,n1000) ),
inference(backward_demodulation,[status(thm)],[f6812,f304]) ).
fof(f6916,plain,
( ~ sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6171,f127]) ).
fof(f6917,plain,
~ sQ206_spl,
inference(contradiction_clause,[status(thm)],[f6916]) ).
fof(f6918,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2294,f1290]) ).
fof(f6919,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f6918]) ).
fof(f6940,plain,
( gt(n588,n1)
| n1 = n588 ),
inference(resolution,[status(thm)],[f6377,f143]) ).
fof(f6943,definition,
( sQ231_spl
<=> gt(n588,n1) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f6946,plain,
( sQ231_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f6940,f3673,f6943]) ).
fof(f6957,plain,
( gt(n588,n5)
| n5 = n588 ),
inference(resolution,[status(thm)],[f2241,f143]) ).
fof(f6960,definition,
( sQ232_spl
<=> gt(n588,n5) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f6963,plain,
( sQ232_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f6957,f6422,f6960]) ).
fof(f6965,plain,
( ~ sQ216_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6459,f127]) ).
fof(f6966,plain,
~ sQ216_spl,
inference(contradiction_clause,[status(thm)],[f6965]) ).
fof(f7034,plain,
( gt(n588,n4)
| n4 = n588 ),
inference(resolution,[status(thm)],[f2242,f143]) ).
fof(f7037,definition,
( sQ233_spl
<=> gt(n588,n4) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f7040,plain,
( sQ233_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f7034,f5878,f7037]) ).
fof(f7151,plain,
( gt(n588,n7)
| n7 = n588 ),
inference(resolution,[status(thm)],[f2239,f143]) ).
fof(f7154,definition,
( sQ234_spl
<=> n7 = n588 ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f7155,plain,
( ~ sQ234_spl
| n7 = n588 ),
inference(component_clause,[status(thm)],[f7154]) ).
fof(f7157,definition,
( sQ235_spl
<=> gt(n588,n7) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f7160,plain,
( sQ235_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f7151,f7154,f7157]) ).
fof(f7162,plain,
( ~ sQ234_spl
| gt(n7,n7) ),
inference(backward_demodulation,[status(thm)],[f7155,f305]) ).
fof(f7232,plain,
( gt(n7,n1)
| n1 = n7 ),
inference(resolution,[status(thm)],[f6357,f143]) ).
fof(f7234,plain,
! [X0] :
( leq(X0,n7)
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f6357,f131]) ).
fof(f7235,definition,
( sQ236_spl
<=> gt(n7,n1) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f7238,plain,
( sQ236_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f7232,f3536,f7235]) ).
fof(f7239,plain,
( ~ sQ234_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7162,f127]) ).
fof(f7240,plain,
~ sQ234_spl,
inference(contradiction_clause,[status(thm)],[f7239]) ).
fof(f7241,plain,
( gt(n1000,n1)
| n1 = n1000 ),
inference(resolution,[status(thm)],[f6674,f143]) ).
fof(f7243,plain,
! [X0] :
( leq(X0,n1000)
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f6674,f131]) ).
fof(f7244,definition,
( sQ237_spl
<=> gt(n1000,n1) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f7247,plain,
( sQ237_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f7241,f3736,f7244]) ).
fof(f7259,plain,
! [X0] :
( ~ sQ228_spl
| leq(X0,n6)
| ~ leq(X0,n4) ),
inference(resolution,[status(thm)],[f6824,f131]) ).
fof(f7260,definition,
( sQ238_spl
<=> gt(n6,n4) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f7290,plain,
! [X0] :
( ~ sQ14_spl
| ~ leq(n0,n0)
| leq(uniform_int_rnd(X0,n0),n1) ),
inference(resolution,[status(thm)],[f2253,f157]) ).
fof(f7292,definition,
! [X0] :
( sQ239_spl
<=> leq(uniform_int_rnd(X0,n0),n1) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f7293,plain,
! [X0] :
( ~ sQ239_spl
| leq(uniform_int_rnd(X0,n0),n1) ),
inference(component_clause,[status(thm)],[f7292]) ).
fof(f7295,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f7290,f7292,f1242,f1245]) ).
fof(f7296,plain,
! [X0] :
( ~ sQ239_spl
| gt(n1,uniform_int_rnd(X0,n0))
| uniform_int_rnd(X0,n0) = n1 ),
inference(resolution,[status(thm)],[f7293,f143]) ).
fof(f7300,plain,
( pred(n1000) = n5
| pred(n1000) = n4
| pred(n1000) = n3
| pred(n1000) = n2
| pred(n1000) = n1
| pred(n1000) = n0
| ~ leq(pred(n1000),n5) ),
inference(resolution,[status(thm)],[f2205,f350]) ).
fof(f7301,plain,
( pred(n1000) = n3
| pred(n1000) = n2
| pred(n1000) = n1
| pred(n1000) = n0
| ~ leq(pred(n1000),n3) ),
inference(resolution,[status(thm)],[f2205,f360]) ).
fof(f7302,plain,
( pred(n1000) = n4
| pred(n1000) = n3
| pred(n1000) = n2
| pred(n1000) = n1
| pred(n1000) = n0
| ~ leq(pred(n1000),n4) ),
inference(resolution,[status(thm)],[f2205,f348]) ).
fof(f7303,plain,
( pred(n1000) = n2
| pred(n1000) = n1
| pred(n1000) = n0
| ~ leq(pred(n1000),n2) ),
inference(resolution,[status(thm)],[f2205,f358]) ).
fof(f7304,plain,
( pred(n1000) = n1
| pred(n1000) = n0
| ~ leq(pred(n1000),n1) ),
inference(resolution,[status(thm)],[f2205,f356]) ).
fof(f7305,plain,
( pred(n1000) = n0
| ~ leq(pred(n1000),n0) ),
inference(resolution,[status(thm)],[f2205,f354]) ).
fof(f7307,plain,
( gt(pred(n1000),n0)
| n0 = pred(n1000) ),
inference(resolution,[status(thm)],[f2205,f143]) ).
fof(f7310,definition,
( sQ240_spl
<=> leq(pred(n1000),n5) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f7312,plain,
( sQ240_spl
| ~ leq(pred(n1000),n5) ),
inference(component_clause,[status(thm)],[f7310]) ).
fof(f7313,definition,
( sQ241_spl
<=> pred(n1000) = n0 ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f7314,plain,
( ~ sQ241_spl
| pred(n1000) = n0 ),
inference(component_clause,[status(thm)],[f7313]) ).
fof(f7316,definition,
( sQ242_spl
<=> pred(n1000) = n1 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f7317,plain,
( ~ sQ242_spl
| pred(n1000) = n1 ),
inference(component_clause,[status(thm)],[f7316]) ).
fof(f7319,definition,
( sQ243_spl
<=> pred(n1000) = n2 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f7320,plain,
( ~ sQ243_spl
| pred(n1000) = n2 ),
inference(component_clause,[status(thm)],[f7319]) ).
fof(f7322,definition,
( sQ244_spl
<=> pred(n1000) = n3 ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f7323,plain,
( ~ sQ244_spl
| pred(n1000) = n3 ),
inference(component_clause,[status(thm)],[f7322]) ).
fof(f7325,definition,
( sQ245_spl
<=> pred(n1000) = n4 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f7326,plain,
( ~ sQ245_spl
| pred(n1000) = n4 ),
inference(component_clause,[status(thm)],[f7325]) ).
fof(f7328,definition,
( sQ246_spl
<=> pred(n1000) = n5 ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f7329,plain,
( ~ sQ246_spl
| pred(n1000) = n5 ),
inference(component_clause,[status(thm)],[f7328]) ).
fof(f7331,plain,
( sQ246_spl
| sQ245_spl
| sQ244_spl
| sQ243_spl
| sQ242_spl
| sQ241_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f7300,f7310,f7313,f7316,f7319,f7322,f7325,f7328]) ).
fof(f7332,definition,
( sQ247_spl
<=> leq(pred(n1000),n3) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f7334,plain,
( sQ247_spl
| ~ leq(pred(n1000),n3) ),
inference(component_clause,[status(thm)],[f7332]) ).
fof(f7335,plain,
( sQ244_spl
| sQ243_spl
| sQ242_spl
| sQ241_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f7301,f7332,f7313,f7316,f7319,f7322]) ).
fof(f7336,definition,
( sQ248_spl
<=> leq(pred(n1000),n4) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f7338,plain,
( sQ248_spl
| ~ leq(pred(n1000),n4) ),
inference(component_clause,[status(thm)],[f7336]) ).
fof(f7339,plain,
( sQ245_spl
| sQ244_spl
| sQ243_spl
| sQ242_spl
| sQ241_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f7302,f7336,f7313,f7316,f7319,f7322,f7325]) ).
fof(f7340,definition,
( sQ249_spl
<=> leq(pred(n1000),n2) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f7342,plain,
( sQ249_spl
| ~ leq(pred(n1000),n2) ),
inference(component_clause,[status(thm)],[f7340]) ).
fof(f7343,plain,
( sQ243_spl
| sQ242_spl
| sQ241_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f7303,f7340,f7313,f7316,f7319]) ).
fof(f7344,definition,
( sQ250_spl
<=> leq(pred(n1000),n1) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f7346,plain,
( sQ250_spl
| ~ leq(pred(n1000),n1) ),
inference(component_clause,[status(thm)],[f7344]) ).
fof(f7347,plain,
( sQ242_spl
| sQ241_spl
| ~ sQ250_spl ),
inference(split_clause,[status(thm)],[f7304,f7344,f7313,f7316]) ).
fof(f7348,definition,
( sQ251_spl
<=> leq(pred(n1000),n0) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f7351,plain,
( sQ241_spl
| ~ sQ251_spl ),
inference(split_clause,[status(thm)],[f7305,f7348,f7313]) ).
fof(f7352,definition,
( sQ252_spl
<=> gt(pred(n1000),n0) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f7355,plain,
( sQ252_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f7307,f7313,f7352]) ).
fof(f7359,plain,
( ~ sQ242_spl
| ~ sQ241_spl
| n0 = n1 ),
inference(forward_demodulation,[status(thm)],[f7314,f7317]) ).
fof(f7360,plain,
( ~ sQ242_spl
| ~ sQ241_spl
| sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7359,f2256]) ).
fof(f7361,plain,
( ~ sQ242_spl
| ~ sQ241_spl
| sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f7360]) ).
fof(f7362,plain,
( ~ sQ244_spl
| ~ sQ243_spl
| n2 = n3 ),
inference(forward_demodulation,[status(thm)],[f7320,f7323]) ).
fof(f7363,plain,
( ~ sQ244_spl
| ~ sQ243_spl
| sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7362,f4615]) ).
fof(f7364,plain,
( ~ sQ244_spl
| ~ sQ243_spl
| sQ145_spl ),
inference(contradiction_clause,[status(thm)],[f7363]) ).
fof(f7369,plain,
( sQ248_spl
| ~ sQ245_spl
| ~ leq(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f7326,f7338]) ).
fof(f7370,plain,
( sQ248_spl
| ~ sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7369,f128]) ).
fof(f7371,plain,
( sQ248_spl
| ~ sQ245_spl ),
inference(contradiction_clause,[status(thm)],[f7370]) ).
fof(f7373,plain,
( sQ240_spl
| ~ sQ246_spl
| ~ leq(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f7329,f7312]) ).
fof(f7374,plain,
( sQ240_spl
| ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7373,f128]) ).
fof(f7375,plain,
( sQ240_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f7374]) ).
fof(f7381,plain,
( sQ249_spl
| ~ sQ242_spl
| ~ leq(n1,n2) ),
inference(forward_demodulation,[status(thm)],[f7317,f7342]) ).
fof(f7382,plain,
( sQ249_spl
| ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7381,f4693]) ).
fof(f7383,plain,
( sQ249_spl
| ~ sQ242_spl ),
inference(contradiction_clause,[status(thm)],[f7382]) ).
fof(f7384,plain,
( sQ250_spl
| ~ sQ242_spl
| ~ leq(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f7317,f7346]) ).
fof(f7385,plain,
( sQ250_spl
| ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7384,f128]) ).
fof(f7386,plain,
( sQ250_spl
| ~ sQ242_spl ),
inference(contradiction_clause,[status(thm)],[f7385]) ).
fof(f7390,plain,
( sQ247_spl
| ~ sQ242_spl
| ~ leq(n1,n3) ),
inference(forward_demodulation,[status(thm)],[f7317,f7334]) ).
fof(f7391,plain,
( sQ247_spl
| ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7390,f3362]) ).
fof(f7392,plain,
( sQ247_spl
| ~ sQ242_spl ),
inference(contradiction_clause,[status(thm)],[f7391]) ).
fof(f7415,plain,
( n7 = n6
| n7 = n5
| n7 = n4
| n7 = n3
| n7 = n2
| n7 = n1
| n7 = n0
| ~ leq(n7,n6) ),
inference(resolution,[status(thm)],[f352,f2204]) ).
fof(f7416,plain,
( ~ sQ10_spl
| pv5 = n6
| pv5 = n5
| pv5 = n4
| pv5 = n3
| pv5 = n2
| pv5 = n1
| pv5 = n0
| ~ leq(pv5,n6) ),
inference(resolution,[status(thm)],[f352,f1226]) ).
fof(f7427,definition,
( sQ253_spl
<=> leq(n7,n6) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f7429,plain,
( sQ253_spl
| ~ leq(n7,n6) ),
inference(component_clause,[status(thm)],[f7427]) ).
fof(f7430,plain,
( sQ85_spl
| sQ87_spl
| sQ176_spl
| sQ134_spl
| sQ155_spl
| sQ112_spl
| sQ68_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f7415,f7427,f2353,f3536,f4814,f4171,f5592,f2932,f2874]) ).
fof(f7431,definition,
( sQ254_spl
<=> leq(pv5,n6) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f7432,plain,
( ~ sQ254_spl
| leq(pv5,n6) ),
inference(component_clause,[status(thm)],[f7431]) ).
fof(f7433,plain,
( sQ254_spl
| ~ leq(pv5,n6) ),
inference(component_clause,[status(thm)],[f7431]) ).
fof(f7434,definition,
( sQ255_spl
<=> pv5 = n6 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f7435,plain,
( ~ sQ255_spl
| pv5 = n6 ),
inference(component_clause,[status(thm)],[f7434]) ).
fof(f7437,plain,
( ~ sQ10_spl
| sQ255_spl
| sQ218_spl
| sQ189_spl
| sQ187_spl
| sQ157_spl
| sQ120_spl
| sQ65_spl
| ~ sQ254_spl ),
inference(split_clause,[status(thm)],[f7416,f7431,f2181,f3800,f4822,f5794,f5801,f6560,f7434,f1225]) ).
fof(f7462,plain,
( sQ254_spl
| ~ sQ255_spl
| ~ leq(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f7435,f7433]) ).
fof(f7463,plain,
( sQ254_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7462,f128]) ).
fof(f7464,plain,
( sQ254_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7463]) ).
fof(f7480,plain,
( gt(n1000,n6)
| n6 = n1000 ),
inference(resolution,[status(thm)],[f2244,f143]) ).
fof(f7482,plain,
! [X0] :
( leq(X0,n1000)
| ~ leq(X0,n6) ),
inference(resolution,[status(thm)],[f2244,f131]) ).
fof(f7483,definition,
( sQ256_spl
<=> gt(n1000,n6) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f7486,plain,
( sQ256_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f7480,f6811,f7483]) ).
fof(f7487,plain,
( ~ sQ225_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6848,f127]) ).
fof(f7488,plain,
~ sQ225_spl,
inference(contradiction_clause,[status(thm)],[f7487]) ).
fof(f7611,plain,
( ~ sQ211_spl
| succ(n1) = n4 ),
inference(paramodulation,[status(thm)],[f6334,f248]) ).
fof(f7614,plain,
( ~ sQ211_spl
| n2 = n4 ),
inference(forward_demodulation,[status(thm)],[f2149,f7611]) ).
fof(f7615,plain,
( ~ sQ211_spl
| sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7614,f3205]) ).
fof(f7616,plain,
( ~ sQ211_spl
| sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f7615]) ).
fof(f7624,plain,
( n588 = n6
| n588 = n5
| n588 = n4
| n588 = n3
| n588 = n2
| n588 = n1
| n588 = n0
| ~ leq(n588,n6) ),
inference(resolution,[status(thm)],[f2238,f352]) ).
fof(f7634,definition,
( sQ257_spl
<=> leq(n588,n6) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f7636,plain,
( sQ257_spl
| ~ leq(n588,n6) ),
inference(component_clause,[status(thm)],[f7634]) ).
fof(f7637,definition,
( sQ258_spl
<=> n588 = n6 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f7638,plain,
( ~ sQ258_spl
| n588 = n6 ),
inference(component_clause,[status(thm)],[f7637]) ).
fof(f7640,plain,
( sQ258_spl
| sQ216_spl
| sQ192_spl
| sQ138_spl
| sQ163_spl
| sQ116_spl
| sQ74_spl
| ~ sQ257_spl ),
inference(split_clause,[status(thm)],[f7624,f7634,f2518,f3673,f5116,f4354,f5878,f6422,f7637]) ).
fof(f7671,plain,
( ~ sQ258_spl
| leq(n7,n6) ),
inference(backward_demodulation,[status(thm)],[f7638,f2239]) ).
fof(f7717,plain,
( ~ sQ258_spl
| sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7671,f7429]) ).
fof(f7718,plain,
( ~ sQ258_spl
| sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f7717]) ).
fof(f7789,plain,
! [X0] :
( ~ leq(n0,n0)
| leq(uniform_int_rnd(X0,n0),n7) ),
inference(resolution,[status(thm)],[f2352,f157]) ).
fof(f7791,definition,
! [X0] :
( sQ259_spl
<=> leq(uniform_int_rnd(X0,n0),n7) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f7794,plain,
( ~ sQ13_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f7789,f7791,f1242]) ).
fof(f7800,plain,
( ~ sQ148_spl
| succ(n0) = n6 ),
inference(paramodulation,[status(thm)],[f4754,f248]) ).
fof(f7803,plain,
( ~ sQ148_spl
| n1 = n6 ),
inference(forward_demodulation,[status(thm)],[f364,f7800]) ).
fof(f7804,plain,
( ~ sQ148_spl
| sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7803,f3454]) ).
fof(f7805,plain,
( ~ sQ148_spl
| sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f7804]) ).
fof(f7850,plain,
( gt(n588,n6)
| n6 = n588 ),
inference(resolution,[status(thm)],[f2240,f143]) ).
fof(f7852,plain,
! [X0] :
( leq(X0,n588)
| ~ leq(X0,n6) ),
inference(resolution,[status(thm)],[f2240,f131]) ).
fof(f7853,definition,
( sQ260_spl
<=> gt(n588,n6) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f7856,plain,
( sQ260_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f7850,f7637,f7853]) ).
fof(f7868,plain,
( sQ20_spl
| ~ gt(n6,n1) ),
inference(resolution,[status(thm)],[f5850,f147]) ).
fof(f7869,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7868,f329]) ).
fof(f7870,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f7869]) ).
fof(f7871,plain,
( sQ21_spl
| ~ leq(n2,pred(n4)) ),
inference(forward_demodulation,[status(thm)],[f246,f1268]) ).
fof(f7872,plain,
( sQ21_spl
| ~ gt(n4,n2) ),
inference(resolution,[status(thm)],[f7871,f147]) ).
fof(f7873,plain,
( sQ21_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7872,f3207]) ).
fof(f7874,plain,
( sQ21_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f7873]) ).
fof(f7875,plain,
( sQ22_spl
| ~ leq(n2,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f246,f1271]) ).
fof(f7878,plain,
( ~ sQ18_spl
| pred(n6) = n3
| pred(n6) = n2
| pred(n6) = n1
| pred(n6) = n0
| ~ leq(pred(n6),n3) ),
inference(resolution,[status(thm)],[f2155,f360]) ).
fof(f7879,plain,
( ~ sQ18_spl
| pred(n6) = n4
| pred(n6) = n3
| pred(n6) = n2
| pred(n6) = n1
| pred(n6) = n0
| ~ leq(pred(n6),n4) ),
inference(resolution,[status(thm)],[f2155,f348]) ).
fof(f7880,plain,
( ~ sQ18_spl
| pred(n6) = n2
| pred(n6) = n1
| pred(n6) = n0
| ~ leq(pred(n6),n2) ),
inference(resolution,[status(thm)],[f2155,f358]) ).
fof(f7887,definition,
( sQ261_spl
<=> leq(pred(n6),n6) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f7889,plain,
( sQ261_spl
| ~ leq(pred(n6),n6) ),
inference(component_clause,[status(thm)],[f7887]) ).
fof(f7890,definition,
( sQ262_spl
<=> pred(n6) = n2 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f7891,plain,
( ~ sQ262_spl
| pred(n6) = n2 ),
inference(component_clause,[status(thm)],[f7890]) ).
fof(f7893,definition,
( sQ263_spl
<=> pred(n6) = n3 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f7894,plain,
( ~ sQ263_spl
| pred(n6) = n3 ),
inference(component_clause,[status(thm)],[f7893]) ).
fof(f7896,definition,
( sQ264_spl
<=> pred(n6) = n4 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f7897,plain,
( ~ sQ264_spl
| pred(n6) = n4 ),
inference(component_clause,[status(thm)],[f7896]) ).
fof(f7899,definition,
( sQ265_spl
<=> pred(n6) = n5 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f7900,plain,
( ~ sQ265_spl
| pred(n6) = n5 ),
inference(component_clause,[status(thm)],[f7899]) ).
fof(f7901,plain,
( sQ265_spl
| pred(n6) != n5 ),
inference(component_clause,[status(thm)],[f7899]) ).
fof(f7910,definition,
( sQ268_spl
<=> leq(pred(n6),n3) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f7913,plain,
( ~ sQ18_spl
| sQ263_spl
| sQ262_spl
| sQ149_spl
| sQ148_spl
| ~ sQ268_spl ),
inference(split_clause,[status(thm)],[f7878,f7910,f4753,f4756,f7890,f7893,f1257]) ).
fof(f7914,definition,
( sQ269_spl
<=> leq(pred(n6),n4) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f7917,plain,
( ~ sQ18_spl
| sQ264_spl
| sQ263_spl
| sQ262_spl
| sQ149_spl
| sQ148_spl
| ~ sQ269_spl ),
inference(split_clause,[status(thm)],[f7879,f7914,f4753,f4756,f7890,f7893,f7896,f1257]) ).
fof(f7918,definition,
( sQ270_spl
<=> leq(pred(n6),n2) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f7921,plain,
( ~ sQ18_spl
| sQ262_spl
| sQ149_spl
| sQ148_spl
| ~ sQ270_spl ),
inference(split_clause,[status(thm)],[f7880,f7918,f4753,f4756,f7890,f1257]) ).
fof(f7986,plain,
( sQ254_spl
| pv5 = n6
| gt(pv5,n6) ),
inference(resolution,[status(thm)],[f2248,f7433]) ).
fof(f7987,plain,
( sQ217_spl
| pv5 = n5
| gt(pv5,n5) ),
inference(resolution,[status(thm)],[f2248,f6559]) ).
fof(f7988,plain,
( sQ186_spl
| pv5 = n3
| gt(pv5,n3) ),
inference(resolution,[status(thm)],[f2248,f5793]) ).
fof(f7989,plain,
( sQ156_spl
| pv5 = n2
| gt(pv5,n2) ),
inference(resolution,[status(thm)],[f2248,f4821]) ).
fof(f7990,plain,
( sQ119_spl
| pv5 = n1
| gt(pv5,n1) ),
inference(resolution,[status(thm)],[f2248,f3799]) ).
fof(f7992,plain,
( sQ188_spl
| pv5 = n4
| gt(pv5,n4) ),
inference(resolution,[status(thm)],[f2248,f5800]) ).
fof(f7993,plain,
( sQ208_spl
| n6 = n4
| gt(n6,n4) ),
inference(resolution,[status(thm)],[f2248,f6138]) ).
fof(f8053,definition,
( sQ271_spl
<=> gt(pv5,n588) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f8054,plain,
( ~ sQ271_spl
| gt(pv5,n588) ),
inference(component_clause,[status(thm)],[f8053]) ).
fof(f8055,plain,
( sQ271_spl
| ~ gt(pv5,n588) ),
inference(component_clause,[status(thm)],[f8053]) ).
fof(f8056,definition,
( sQ272_spl
<=> pv5 = n588 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f8057,plain,
( ~ sQ272_spl
| pv5 = n588 ),
inference(component_clause,[status(thm)],[f8056]) ).
fof(f8060,definition,
( sQ273_spl
<=> gt(pv5,n6) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f8061,plain,
( ~ sQ273_spl
| gt(pv5,n6) ),
inference(component_clause,[status(thm)],[f8060]) ).
fof(f8062,plain,
( sQ273_spl
| ~ gt(pv5,n6) ),
inference(component_clause,[status(thm)],[f8060]) ).
fof(f8063,plain,
( sQ254_spl
| sQ255_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f7986,f8060,f7434,f7431]) ).
fof(f8064,definition,
( sQ274_spl
<=> gt(pv5,n5) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f8065,plain,
( ~ sQ274_spl
| gt(pv5,n5) ),
inference(component_clause,[status(thm)],[f8064]) ).
fof(f8067,plain,
( sQ217_spl
| sQ218_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f7987,f8064,f6560,f6557]) ).
fof(f8068,definition,
( sQ275_spl
<=> gt(pv5,n3) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f8069,plain,
( ~ sQ275_spl
| gt(pv5,n3) ),
inference(component_clause,[status(thm)],[f8068]) ).
fof(f8070,plain,
( sQ275_spl
| ~ gt(pv5,n3) ),
inference(component_clause,[status(thm)],[f8068]) ).
fof(f8071,plain,
( sQ186_spl
| sQ187_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f7988,f8068,f5794,f5791]) ).
fof(f8072,definition,
( sQ276_spl
<=> gt(pv5,n2) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f8073,plain,
( ~ sQ276_spl
| gt(pv5,n2) ),
inference(component_clause,[status(thm)],[f8072]) ).
fof(f8074,plain,
( sQ276_spl
| ~ gt(pv5,n2) ),
inference(component_clause,[status(thm)],[f8072]) ).
fof(f8075,plain,
( sQ156_spl
| sQ157_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f7989,f8072,f4822,f4819]) ).
fof(f8076,definition,
( sQ277_spl
<=> gt(pv5,n1) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f8077,plain,
( ~ sQ277_spl
| gt(pv5,n1) ),
inference(component_clause,[status(thm)],[f8076]) ).
fof(f8079,plain,
( sQ119_spl
| sQ120_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f7990,f8076,f3800,f3797]) ).
fof(f8081,definition,
( sQ278_spl
<=> gt(pv5,n4) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f8082,plain,
( ~ sQ278_spl
| gt(pv5,n4) ),
inference(component_clause,[status(thm)],[f8081]) ).
fof(f8084,plain,
( sQ188_spl
| sQ189_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f7992,f8081,f5801,f5798]) ).
fof(f8085,plain,
( sQ208_spl
| sQ206_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f7993,f7260,f6128,f6136]) ).
fof(f8136,plain,
( sQ257_spl
| ~ sQ272_spl
| ~ leq(pv5,n6) ),
inference(backward_demodulation,[status(thm)],[f8057,f7636]) ).
fof(f8146,plain,
( sQ92_spl
| ~ sQ272_spl
| ~ leq(pv5,n0) ),
inference(backward_demodulation,[status(thm)],[f8057,f3061]) ).
fof(f8150,plain,
( ~ sQ272_spl
| gt(pv5,n5) ),
inference(backward_demodulation,[status(thm)],[f8057,f298]) ).
fof(f8155,plain,
( sQ115_spl
| ~ sQ272_spl
| ~ leq(pv5,n1) ),
inference(backward_demodulation,[status(thm)],[f8057,f3672]) ).
fof(f8161,plain,
( sQ190_spl
| ~ sQ272_spl
| ~ leq(pv5,n3) ),
inference(backward_demodulation,[status(thm)],[f8057,f5873]) ).
fof(f8203,plain,
( ~ sQ277_spl
| leq(n1,pv5) ),
inference(resolution,[status(thm)],[f8077,f141]) ).
fof(f8206,plain,
( ~ sQ276_spl
| leq(n2,pv5) ),
inference(resolution,[status(thm)],[f8073,f141]) ).
fof(f8237,plain,
( ~ sQ275_spl
| leq(n3,pv5) ),
inference(resolution,[status(thm)],[f8069,f141]) ).
fof(f8240,plain,
( ~ sQ278_spl
| leq(n4,pv5) ),
inference(resolution,[status(thm)],[f8082,f141]) ).
fof(f8242,plain,
! [X0] :
( ~ sQ278_spl
| gt(X0,n4)
| ~ gt(X0,pv5) ),
inference(resolution,[status(thm)],[f8082,f126]) ).
fof(f8243,plain,
( ~ sQ274_spl
| leq(n5,pv5) ),
inference(resolution,[status(thm)],[f8065,f141]) ).
fof(f8245,plain,
! [X0] :
( ~ sQ274_spl
| gt(X0,n5)
| ~ gt(X0,pv5) ),
inference(resolution,[status(thm)],[f8065,f126]) ).
fof(f8246,plain,
( ~ sQ273_spl
| leq(n6,pv5) ),
inference(resolution,[status(thm)],[f8061,f141]) ).
fof(f8275,plain,
( ~ sQ271_spl
| leq(n588,pv5) ),
inference(resolution,[status(thm)],[f8054,f141]) ).
fof(f8280,plain,
! [X0] :
( ~ sQ277_spl
| leq(X0,pv5)
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f8203,f131]) ).
fof(f8284,plain,
! [X0] :
( ~ sQ276_spl
| leq(X0,pv5)
| ~ leq(X0,n2) ),
inference(resolution,[status(thm)],[f8206,f131]) ).
fof(f8359,plain,
! [X0] :
( ~ sQ275_spl
| leq(X0,pv5)
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f8237,f131]) ).
fof(f8363,plain,
! [X0] :
( ~ sQ278_spl
| leq(X0,pv5)
| ~ leq(X0,n4) ),
inference(resolution,[status(thm)],[f8240,f131]) ).
fof(f8367,plain,
! [X0] :
( ~ sQ274_spl
| leq(X0,pv5)
| ~ leq(X0,n5) ),
inference(resolution,[status(thm)],[f8243,f131]) ).
fof(f8371,plain,
! [X0] :
( ~ sQ273_spl
| leq(X0,pv5)
| ~ leq(X0,n6) ),
inference(resolution,[status(thm)],[f8246,f131]) ).
fof(f8462,plain,
! [X0] : leq(pred(X0),X0),
inference(resolution,[status(thm)],[f2250,f141]) ).
fof(f8471,definition,
! [X0] :
( sQ281_spl
<=> ~ leq(pred(X0),X0) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f8472,plain,
! [X0] :
( ~ sQ281_spl
| ~ leq(pred(X0),X0) ),
inference(component_clause,[status(thm)],[f8471]) ).
fof(f8475,plain,
( ~ sQ281_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8472,f8462]) ).
fof(f8476,plain,
~ sQ281_spl,
inference(contradiction_clause,[status(thm)],[f8475]) ).
fof(f8506,plain,
! [X0] :
( ~ leq(n0,n0)
| leq(uniform_int_rnd(X0,n0),n2) ),
inference(resolution,[status(thm)],[f3281,f157]) ).
fof(f8509,definition,
! [X0] :
( sQ282_spl
<=> leq(uniform_int_rnd(X0,n0),n2) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f8510,plain,
! [X0] :
( ~ sQ282_spl
| leq(uniform_int_rnd(X0,n0),n2) ),
inference(component_clause,[status(thm)],[f8509]) ).
fof(f8512,plain,
( ~ sQ13_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f8506,f8509,f1242]) ).
fof(f8513,plain,
! [X0] :
( ~ sQ282_spl
| gt(n2,uniform_int_rnd(X0,n0))
| uniform_int_rnd(X0,n0) = n2 ),
inference(resolution,[status(thm)],[f8510,f143]) ).
fof(f8519,plain,
! [X0] :
( ~ leq(n0,n1)
| leq(uniform_int_rnd(X0,n1),n4) ),
inference(resolution,[status(thm)],[f4506,f157]) ).
fof(f8522,definition,
! [X0] :
( sQ283_spl
<=> leq(uniform_int_rnd(X0,n1),n4) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f8525,plain,
( ~ sQ14_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f8519,f8522,f1245]) ).
fof(f8534,plain,
! [X0] :
( ~ sQ10_spl
| ~ leq(n0,n0)
| leq(uniform_int_rnd(X0,n0),pv5) ),
inference(resolution,[status(thm)],[f2175,f157]) ).
fof(f8537,definition,
! [X0] :
( sQ284_spl
<=> leq(uniform_int_rnd(X0,n0),pv5) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f8538,plain,
! [X0] :
( ~ sQ284_spl
| leq(uniform_int_rnd(X0,n0),pv5) ),
inference(component_clause,[status(thm)],[f8537]) ).
fof(f8540,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f8534,f8537,f1242,f1225]) ).
fof(f8541,plain,
! [X0] :
( ~ sQ284_spl
| gt(pv5,uniform_int_rnd(X0,n0))
| uniform_int_rnd(X0,n0) = pv5 ),
inference(resolution,[status(thm)],[f8538,f143]) ).
fof(f8552,plain,
! [X0] :
( ~ leq(n0,n2)
| leq(uniform_int_rnd(X0,n2),n4) ),
inference(resolution,[status(thm)],[f3202,f157]) ).
fof(f8555,definition,
! [X0] :
( sQ285_spl
<=> leq(uniform_int_rnd(X0,n2),n4) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f8558,plain,
( ~ sQ15_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f8552,f8555,f1248]) ).
fof(f8604,plain,
! [X0] :
( ~ leq(n0,n0)
| leq(uniform_int_rnd(X0,n0),n4) ),
inference(resolution,[status(thm)],[f2615,f157]) ).
fof(f8607,definition,
! [X0] :
( sQ287_spl
<=> leq(uniform_int_rnd(X0,n0),n4) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f8610,plain,
( ~ sQ13_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f8604,f8607,f1242]) ).
fof(f8623,plain,
! [X0] :
( ~ sQ282_spl
| leq(uniform_int_rnd(X0,n0),n3) ),
inference(resolution,[status(thm)],[f4612,f8510]) ).
fof(f8624,plain,
! [X0] :
( ~ leq(n0,n2)
| leq(uniform_int_rnd(X0,n2),n3) ),
inference(resolution,[status(thm)],[f4612,f157]) ).
fof(f8627,definition,
! [X0] :
( sQ288_spl
<=> leq(uniform_int_rnd(X0,n2),n3) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f8630,plain,
( ~ sQ15_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f8624,f8627,f1248]) ).
fof(f8631,plain,
! [X0] :
( ~ sQ282_spl
| gt(n3,uniform_int_rnd(X0,n0))
| uniform_int_rnd(X0,n0) = n3 ),
inference(resolution,[status(thm)],[f8623,f143]) ).
fof(f8654,plain,
! [X0] :
( ~ leq(n0,n3)
| leq(uniform_int_rnd(X0,n3),n4) ),
inference(resolution,[status(thm)],[f4516,f157]) ).
fof(f8657,definition,
! [X0] :
( sQ289_spl
<=> leq(uniform_int_rnd(X0,n3),n4) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f8660,plain,
( ~ sQ16_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f8654,f8657,f1251]) ).
fof(f8684,plain,
! [X0] :
( ~ leq(n0,n1)
| leq(uniform_int_rnd(X0,n1),n3) ),
inference(resolution,[status(thm)],[f4080,f157]) ).
fof(f8687,definition,
! [X0] :
( sQ290_spl
<=> leq(uniform_int_rnd(X0,n1),n3) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f8690,plain,
( ~ sQ14_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f8684,f8687,f1245]) ).
fof(f8707,plain,
! [X0] :
( ~ leq(n0,n0)
| leq(uniform_int_rnd(X0,n0),n3) ),
inference(resolution,[status(thm)],[f2781,f157]) ).
fof(f8710,definition,
! [X0] :
( sQ291_spl
<=> leq(uniform_int_rnd(X0,n0),n3) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f8713,plain,
( ~ sQ13_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f8707,f8710,f1242]) ).
fof(f8751,plain,
! [X0,X1] :
( ~ leq(succ(pred(X0)),X1)
| ~ gt(X0,X1) ),
inference(resolution,[status(thm)],[f2340,f2844]) ).
fof(f8766,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ gt(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f248,f8751]) ).
fof(f8767,plain,
( ~ sQ271_spl
| ~ gt(n588,pv5) ),
inference(resolution,[status(thm)],[f8766,f8275]) ).
fof(f8771,plain,
~ gt(n6,n588),
inference(resolution,[status(thm)],[f8766,f2240]) ).
fof(f8774,plain,
~ gt(n7,n588),
inference(resolution,[status(thm)],[f8766,f2239]) ).
fof(f8776,plain,
( ~ sQ274_spl
| ~ gt(n5,pv5) ),
inference(resolution,[status(thm)],[f8766,f8243]) ).
fof(f8781,plain,
( ~ sQ278_spl
| ~ gt(n4,pv5) ),
inference(resolution,[status(thm)],[f8766,f8240]) ).
fof(f8787,plain,
( ~ sQ275_spl
| ~ gt(n3,pv5) ),
inference(resolution,[status(thm)],[f8766,f8237]) ).
fof(f8794,plain,
~ gt(n2,n588),
inference(resolution,[status(thm)],[f8766,f2309]) ).
fof(f8802,plain,
~ gt(n1,n588),
inference(resolution,[status(thm)],[f8766,f6377]) ).
fof(f8811,plain,
~ gt(n0,n588),
inference(resolution,[status(thm)],[f8766,f2238]) ).
fof(f8820,plain,
~ gt(n0,n1),
inference(resolution,[status(thm)],[f8766,f3342]) ).
fof(f9029,plain,
( succ(n0) = n1
| succ(n0) = n0
| ~ leq(succ(n0),n1) ),
inference(resolution,[status(thm)],[f2341,f356]) ).
fof(f9030,plain,
( succ(n0) = n0
| ~ leq(succ(n0),n0) ),
inference(resolution,[status(thm)],[f2341,f354]) ).
fof(f9037,definition,
( sQ292_spl
<=> leq(succ(n0),n6) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f9039,plain,
( sQ292_spl
| ~ leq(succ(n0),n6) ),
inference(component_clause,[status(thm)],[f9037]) ).
fof(f9040,definition,
( sQ293_spl
<=> succ(n0) = n0 ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f9041,plain,
( ~ sQ293_spl
| succ(n0) = n0 ),
inference(component_clause,[status(thm)],[f9040]) ).
fof(f9043,definition,
( sQ294_spl
<=> succ(n0) = n1 ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f9046,definition,
( sQ295_spl
<=> succ(n0) = n2 ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f9047,plain,
( ~ sQ295_spl
| succ(n0) = n2 ),
inference(component_clause,[status(thm)],[f9046]) ).
fof(f9049,definition,
( sQ296_spl
<=> succ(n0) = n3 ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f9050,plain,
( ~ sQ296_spl
| succ(n0) = n3 ),
inference(component_clause,[status(thm)],[f9049]) ).
fof(f9052,definition,
( sQ297_spl
<=> succ(n0) = n4 ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f9053,plain,
( ~ sQ297_spl
| succ(n0) = n4 ),
inference(component_clause,[status(thm)],[f9052]) ).
fof(f9055,definition,
( sQ298_spl
<=> succ(n0) = n5 ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f9056,plain,
( ~ sQ298_spl
| succ(n0) = n5 ),
inference(component_clause,[status(thm)],[f9055]) ).
fof(f9058,definition,
( sQ299_spl
<=> succ(n0) = n6 ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f9059,plain,
( ~ sQ299_spl
| succ(n0) = n6 ),
inference(component_clause,[status(thm)],[f9058]) ).
fof(f9062,definition,
( sQ300_spl
<=> leq(succ(n0),n5) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f9064,plain,
( sQ300_spl
| ~ leq(succ(n0),n5) ),
inference(component_clause,[status(thm)],[f9062]) ).
fof(f9066,definition,
( sQ301_spl
<=> leq(succ(n0),n3) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f9068,plain,
( sQ301_spl
| ~ leq(succ(n0),n3) ),
inference(component_clause,[status(thm)],[f9066]) ).
fof(f9070,definition,
( sQ302_spl
<=> leq(succ(n0),n4) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f9072,plain,
( sQ302_spl
| ~ leq(succ(n0),n4) ),
inference(component_clause,[status(thm)],[f9070]) ).
fof(f9074,definition,
( sQ303_spl
<=> leq(succ(n0),n2) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f9076,plain,
( sQ303_spl
| ~ leq(succ(n0),n2) ),
inference(component_clause,[status(thm)],[f9074]) ).
fof(f9078,definition,
( sQ304_spl
<=> leq(succ(n0),n1) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f9080,plain,
( sQ304_spl
| ~ leq(succ(n0),n1) ),
inference(component_clause,[status(thm)],[f9078]) ).
fof(f9081,plain,
( sQ294_spl
| sQ293_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f9029,f9078,f9040,f9043]) ).
fof(f9082,definition,
( sQ305_spl
<=> leq(succ(n0),n0) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f9085,plain,
( sQ293_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f9030,f9082,f9040]) ).
fof(f9086,plain,
( ~ sQ293_spl
| n1 = n0 ),
inference(forward_demodulation,[status(thm)],[f364,f9041]) ).
fof(f9087,plain,
( ~ sQ293_spl
| sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9086,f2256]) ).
fof(f9088,plain,
( ~ sQ293_spl
| sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f9087]) ).
fof(f9089,plain,
( ~ sQ295_spl
| n1 = n2 ),
inference(forward_demodulation,[status(thm)],[f364,f9047]) ).
fof(f9090,plain,
( ~ sQ295_spl
| sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9089,f3944]) ).
fof(f9091,plain,
( ~ sQ295_spl
| sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f9090]) ).
fof(f9092,plain,
( ~ sQ296_spl
| n1 = n3 ),
inference(forward_demodulation,[status(thm)],[f364,f9050]) ).
fof(f9093,plain,
( ~ sQ296_spl
| sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9092,f3375]) ).
fof(f9094,plain,
( ~ sQ296_spl
| sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f9093]) ).
fof(f9095,plain,
( ~ sQ297_spl
| n1 = n4 ),
inference(forward_demodulation,[status(thm)],[f364,f9053]) ).
fof(f9096,plain,
( ~ sQ297_spl
| sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9095,f3857]) ).
fof(f9097,plain,
( ~ sQ297_spl
| sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f9096]) ).
fof(f9098,plain,
( ~ sQ298_spl
| n1 = n5 ),
inference(forward_demodulation,[status(thm)],[f364,f9056]) ).
fof(f9099,plain,
( ~ sQ298_spl
| sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9098,f3603]) ).
fof(f9100,plain,
( ~ sQ298_spl
| sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f9099]) ).
fof(f9102,plain,
( sQ304_spl
| ~ leq(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f364,f9080]) ).
fof(f9103,plain,
( sQ304_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9102,f128]) ).
fof(f9104,plain,
sQ304_spl,
inference(contradiction_clause,[status(thm)],[f9103]) ).
fof(f9105,plain,
( sQ303_spl
| ~ leq(n1,n2) ),
inference(forward_demodulation,[status(thm)],[f364,f9076]) ).
fof(f9106,plain,
( sQ303_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9105,f4693]) ).
fof(f9107,plain,
sQ303_spl,
inference(contradiction_clause,[status(thm)],[f9106]) ).
fof(f9108,plain,
( sQ302_spl
| ~ leq(n1,n4) ),
inference(forward_demodulation,[status(thm)],[f364,f9072]) ).
fof(f9109,plain,
( sQ302_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9108,f3837]) ).
fof(f9110,plain,
sQ302_spl,
inference(contradiction_clause,[status(thm)],[f9109]) ).
fof(f9111,plain,
( sQ301_spl
| ~ leq(n1,n3) ),
inference(forward_demodulation,[status(thm)],[f364,f9068]) ).
fof(f9112,plain,
( sQ301_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9111,f3362]) ).
fof(f9113,plain,
sQ301_spl,
inference(contradiction_clause,[status(thm)],[f9112]) ).
fof(f9114,plain,
( sQ300_spl
| ~ leq(n1,n5) ),
inference(forward_demodulation,[status(thm)],[f364,f9064]) ).
fof(f9115,plain,
( sQ300_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9114,f5852]) ).
fof(f9116,plain,
sQ300_spl,
inference(contradiction_clause,[status(thm)],[f9115]) ).
fof(f9117,plain,
( ~ sQ299_spl
| n1 = n6 ),
inference(forward_demodulation,[status(thm)],[f364,f9059]) ).
fof(f9118,plain,
( ~ sQ299_spl
| sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9117,f3454]) ).
fof(f9119,plain,
( ~ sQ299_spl
| sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f9118]) ).
fof(f9120,plain,
( sQ292_spl
| ~ leq(n1,n6) ),
inference(forward_demodulation,[status(thm)],[f364,f9039]) ).
fof(f9121,plain,
( sQ292_spl
| ~ sQ230_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9120,f6832]) ).
fof(f9122,plain,
( sQ292_spl
| ~ sQ230_spl ),
inference(contradiction_clause,[status(thm)],[f9121]) ).
fof(f9144,definition,
! [X0] :
( sQ306_spl
<=> ~ leq(pred(succ(X0)),X0) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f9145,plain,
! [X0] :
( ~ sQ306_spl
| ~ leq(pred(succ(X0)),X0) ),
inference(component_clause,[status(thm)],[f9144]) ).
fof(f9148,plain,
! [X0] :
( ~ sQ306_spl
| ~ leq(X0,X0) ),
inference(forward_demodulation,[status(thm)],[f247,f9145]) ).
fof(f9149,plain,
( ~ sQ306_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9148,f128]) ).
fof(f9150,plain,
~ sQ306_spl,
inference(contradiction_clause,[status(thm)],[f9149]) ).
fof(f9181,plain,
( ~ sQ278_spl
| gt(succ(pv5),n4) ),
inference(resolution,[status(thm)],[f8242,f148]) ).
fof(f9185,plain,
( ~ sQ274_spl
| gt(succ(pv5),n5) ),
inference(resolution,[status(thm)],[f8245,f148]) ).
fof(f9252,plain,
! [X0] :
( ~ sQ282_spl
| leq(uniform_int_rnd(X0,n0),n5) ),
inference(resolution,[status(thm)],[f5003,f8510]) ).
fof(f9253,plain,
! [X0] :
( ~ leq(n0,n2)
| leq(uniform_int_rnd(X0,n2),n5) ),
inference(resolution,[status(thm)],[f5003,f157]) ).
fof(f9256,definition,
! [X0] :
( sQ307_spl
<=> leq(uniform_int_rnd(X0,n2),n5) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f9259,plain,
( ~ sQ15_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f9253,f9256,f1248]) ).
fof(f9261,plain,
! [X0] :
( ~ sQ282_spl
| gt(n5,uniform_int_rnd(X0,n0))
| uniform_int_rnd(X0,n0) = n5 ),
inference(resolution,[status(thm)],[f9252,f143]) ).
fof(f9419,plain,
! [X0] :
( ~ sQ277_spl
| ~ leq(n0,n1)
| leq(uniform_int_rnd(X0,n1),pv5) ),
inference(resolution,[status(thm)],[f8280,f157]) ).
fof(f9422,definition,
! [X0] :
( sQ308_spl
<=> leq(uniform_int_rnd(X0,n1),pv5) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f9425,plain,
( ~ sQ277_spl
| ~ sQ14_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f9419,f9422,f1245,f8076]) ).
fof(f9443,plain,
! [X0] :
( ~ leq(n0,n3)
| leq(uniform_int_rnd(X0,n3),n5) ),
inference(resolution,[status(thm)],[f4247,f157]) ).
fof(f9446,definition,
! [X0] :
( sQ309_spl
<=> leq(uniform_int_rnd(X0,n3),n5) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f9449,plain,
( ~ sQ16_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f9443,f9446,f1251]) ).
fof(f9494,plain,
! [X0] :
( ~ leq(n0,n4)
| leq(uniform_int_rnd(X0,n4),n5) ),
inference(resolution,[status(thm)],[f2460,f157]) ).
fof(f9497,definition,
! [X0] :
( sQ312_spl
<=> leq(uniform_int_rnd(X0,n4),n5) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f9500,plain,
( ~ sQ26_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f9494,f9497,f1282]) ).
fof(f9526,plain,
! [X0] :
( ~ leq(n0,n0)
| leq(uniform_int_rnd(X0,n0),n5) ),
inference(resolution,[status(thm)],[f2987,f157]) ).
fof(f9529,definition,
! [X0] :
( sQ313_spl
<=> leq(uniform_int_rnd(X0,n0),n5) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f9532,plain,
( ~ sQ13_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f9526,f9529,f1242]) ).
fof(f9545,plain,
! [X0] :
( ~ leq(n0,n1)
| leq(uniform_int_rnd(X0,n1),n2) ),
inference(resolution,[status(thm)],[f5359,f157]) ).
fof(f9548,definition,
! [X0] :
( sQ314_spl
<=> leq(uniform_int_rnd(X0,n1),n2) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f9549,plain,
! [X0] :
( ~ sQ314_spl
| leq(uniform_int_rnd(X0,n1),n2) ),
inference(component_clause,[status(thm)],[f9548]) ).
fof(f9551,plain,
( ~ sQ14_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f9545,f9548,f1245]) ).
fof(f9564,plain,
! [X0] :
( ~ sQ276_spl
| ~ leq(n0,n2)
| leq(uniform_int_rnd(X0,n2),pv5) ),
inference(resolution,[status(thm)],[f8284,f157]) ).
fof(f9567,definition,
! [X0] :
( sQ315_spl
<=> leq(uniform_int_rnd(X0,n2),pv5) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f9570,plain,
( ~ sQ276_spl
| ~ sQ15_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f9564,f9567,f1248,f8072]) ).
fof(f9576,plain,
( ~ sQ275_spl
| leq(n2,pv5) ),
inference(resolution,[status(thm)],[f8359,f2327]) ).
fof(f9582,plain,
! [X0] :
( ~ sQ275_spl
| ~ leq(n0,n3)
| leq(uniform_int_rnd(X0,n3),pv5) ),
inference(resolution,[status(thm)],[f8359,f157]) ).
fof(f9585,definition,
! [X0] :
( sQ316_spl
<=> leq(uniform_int_rnd(X0,n3),pv5) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f9588,plain,
( ~ sQ275_spl
| ~ sQ16_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f9582,f9585,f1251,f8068]) ).
fof(f9608,plain,
! [X0] :
( ~ leq(n0,n0)
| leq(uniform_int_rnd(X0,n0),n1000) ),
inference(resolution,[status(thm)],[f3126,f157]) ).
fof(f9611,definition,
! [X0] :
( sQ317_spl
<=> leq(uniform_int_rnd(X0,n0),n1000) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f9612,plain,
! [X0] :
( ~ sQ317_spl
| leq(uniform_int_rnd(X0,n0),n1000) ),
inference(component_clause,[status(thm)],[f9611]) ).
fof(f9614,plain,
( ~ sQ13_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f9608,f9611,f1242]) ).
fof(f9616,plain,
! [X0] :
( ~ sQ317_spl
| gt(n1000,uniform_int_rnd(X0,n0))
| uniform_int_rnd(X0,n0) = n1000 ),
inference(resolution,[status(thm)],[f9612,f143]) ).
fof(f9658,plain,
! [X0] :
( ~ leq(n0,n4)
| leq(uniform_int_rnd(X0,n4),n1000) ),
inference(resolution,[status(thm)],[f2565,f157]) ).
fof(f9661,definition,
! [X0] :
( sQ318_spl
<=> leq(uniform_int_rnd(X0,n4),n1000) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f9664,plain,
( ~ sQ26_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f9658,f9661,f1282]) ).
fof(f9695,plain,
! [X0] :
( ~ leq(n0,n3)
| leq(uniform_int_rnd(X0,n3),n1000) ),
inference(resolution,[status(thm)],[f4428,f157]) ).
fof(f9698,definition,
! [X0] :
( sQ319_spl
<=> leq(uniform_int_rnd(X0,n3),n1000) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f9701,plain,
( ~ sQ16_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f9695,f9698,f1251]) ).
fof(f9855,plain,
! [X0] :
( ~ sQ278_spl
| ~ leq(n0,n4)
| leq(uniform_int_rnd(X0,n4),pv5) ),
inference(resolution,[status(thm)],[f8363,f157]) ).
fof(f9858,definition,
! [X0] :
( sQ320_spl
<=> leq(uniform_int_rnd(X0,n4),pv5) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f9861,plain,
( ~ sQ278_spl
| ~ sQ26_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f9855,f9858,f1282,f8081]) ).
fof(f9877,plain,
! [X0] :
( ~ sQ274_spl
| ~ leq(n0,n5)
| leq(uniform_int_rnd(X0,n5),pv5) ),
inference(resolution,[status(thm)],[f8367,f157]) ).
fof(f9880,definition,
! [X0] :
( sQ321_spl
<=> leq(uniform_int_rnd(X0,n5),pv5) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f9883,plain,
( ~ sQ274_spl
| ~ sQ27_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f9877,f9880,f1285,f8064]) ).
fof(f9892,plain,
( ~ sQ149_spl
| succ(n1) = n6 ),
inference(paramodulation,[status(thm)],[f4757,f248]) ).
fof(f9897,plain,
( ~ sQ149_spl
| n2 = n6 ),
inference(forward_demodulation,[status(thm)],[f2149,f9892]) ).
fof(f9898,plain,
( ~ sQ149_spl
| sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9897,f4809]) ).
fof(f9899,plain,
( ~ sQ149_spl
| sQ153_spl ),
inference(contradiction_clause,[status(thm)],[f9898]) ).
fof(f9914,plain,
( sQ23_spl
| ~ leq(n3,pred(n4)) ),
inference(forward_demodulation,[status(thm)],[f246,f1274]) ).
fof(f9930,plain,
! [X0] :
( ~ leq(n0,n2)
| leq(uniform_int_rnd(X0,n2),n1000) ),
inference(resolution,[status(thm)],[f5190,f157]) ).
fof(f9933,definition,
! [X0] :
( sQ322_spl
<=> leq(uniform_int_rnd(X0,n2),n1000) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f9936,plain,
( ~ sQ15_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f9930,f9933,f1248]) ).
fof(f9939,plain,
! [X0] :
( ~ leq(n0,n1)
| leq(uniform_int_rnd(X0,n1),n5) ),
inference(resolution,[status(thm)],[f6405,f157]) ).
fof(f9942,definition,
! [X0] :
( sQ323_spl
<=> leq(uniform_int_rnd(X0,n1),n5) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f9945,plain,
( ~ sQ14_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f9939,f9942,f1245]) ).
fof(f9954,plain,
! [X0] :
( ~ leq(n0,n7)
| leq(uniform_int_rnd(X0,n7),n1000) ),
inference(resolution,[status(thm)],[f6598,f157]) ).
fof(f9957,definition,
! [X0] :
( sQ324_spl
<=> leq(uniform_int_rnd(X0,n7),n1000) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f9960,plain,
( ~ sQ29_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f9954,f9957,f1291]) ).
fof(f9961,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1293,f2204]) ).
fof(f9962,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f9961]) ).
fof(f9982,plain,
! [X0] :
( ~ leq(n0,n4)
| leq(uniform_int_rnd(X0,n4),n7) ),
inference(resolution,[status(thm)],[f6362,f157]) ).
fof(f9985,definition,
! [X0] :
( sQ325_spl
<=> leq(uniform_int_rnd(X0,n4),n7) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f9988,plain,
( ~ sQ26_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f9982,f9985,f1282]) ).
fof(f10027,plain,
! [X0] :
( ~ leq(n0,n2)
| leq(uniform_int_rnd(X0,n2),n7) ),
inference(resolution,[status(thm)],[f4929,f157]) ).
fof(f10030,definition,
! [X0] :
( sQ326_spl
<=> leq(uniform_int_rnd(X0,n2),n7) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f10033,plain,
( ~ sQ15_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f10027,f10030,f1248]) ).
fof(f10052,plain,
! [X0] :
( ~ sQ273_spl
| ~ leq(n0,n6)
| leq(uniform_int_rnd(X0,n6),pv5) ),
inference(resolution,[status(thm)],[f8371,f157]) ).
fof(f10055,definition,
! [X0] :
( sQ327_spl
<=> leq(uniform_int_rnd(X0,n6),pv5) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f10058,plain,
( ~ sQ273_spl
| ~ sQ28_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f10052,f10055,f1288,f8060]) ).
fof(f10078,definition,
( sQ329_spl
<=> leq(n0,n588) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f10080,plain,
( sQ329_spl
| ~ leq(n0,n588) ),
inference(component_clause,[status(thm)],[f10078]) ).
fof(f10082,plain,
( sQ329_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10080,f2238]) ).
fof(f10083,plain,
sQ329_spl,
inference(contradiction_clause,[status(thm)],[f10082]) ).
fof(f10110,definition,
( sQ331_spl
<=> n7 = pv5 ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f10111,plain,
( ~ sQ331_spl
| n7 = pv5 ),
inference(component_clause,[status(thm)],[f10110]) ).
fof(f10113,definition,
( sQ332_spl
<=> gt(pv5,n7) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f10114,plain,
( ~ sQ332_spl
| gt(pv5,n7) ),
inference(component_clause,[status(thm)],[f10113]) ).
fof(f10277,plain,
( ~ sQ332_spl
| ~ sQ331_spl
| gt(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f10111,f10114]) ).
fof(f10278,plain,
( ~ sQ332_spl
| ~ sQ331_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10277,f127]) ).
fof(f10279,plain,
( ~ sQ332_spl
| ~ sQ331_spl ),
inference(contradiction_clause,[status(thm)],[f10278]) ).
fof(f10546,plain,
( ~ sQ274_spl
| gt(pv5,n4) ),
inference(resolution,[status(thm)],[f8065,f2197]) ).
fof(f10547,plain,
( ~ sQ274_spl
| gt(pv5,n3) ),
inference(resolution,[status(thm)],[f8065,f2401]) ).
fof(f10567,plain,
( ~ sQ276_spl
| gt(pv5,n1) ),
inference(resolution,[status(thm)],[f8073,f4695]) ).
fof(f10669,plain,
( sQ23_spl
| ~ gt(n4,n3) ),
inference(resolution,[status(thm)],[f9914,f147]) ).
fof(f10671,plain,
( sQ23_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f10669,f4520,f1272]) ).
fof(f10695,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1296,f6357]) ).
fof(f10696,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f10695]) ).
fof(f10697,plain,
( sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1299,f2321]) ).
fof(f10698,plain,
sQ31_spl,
inference(contradiction_clause,[status(thm)],[f10697]) ).
fof(f10699,plain,
( sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1302,f2775]) ).
fof(f10700,plain,
sQ32_spl,
inference(contradiction_clause,[status(thm)],[f10699]) ).
fof(f10701,plain,
( sQ39_spl
| ~ leq(n3,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f246,f1324]) ).
fof(f10749,plain,
! [X0] :
( ~ leq(n0,n0)
| uniform_int_rnd(X0,n0) = n0
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f3347,f157]) ).
fof(f10751,definition,
! [X0] :
( sQ336_spl
<=> uniform_int_rnd(X0,n0) = n0 ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f10752,plain,
! [X0] :
( ~ sQ336_spl
| uniform_int_rnd(X0,n0) = n0 ),
inference(component_clause,[status(thm)],[f10751]) ).
fof(f10754,plain,
( sQ336_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f10749,f1242,f10751]) ).
fof(f10771,plain,
! [X0] :
( ~ sQ284_spl
| ~ sQ336_spl
| gt(pv5,n0)
| uniform_int_rnd(X0,n0) = pv5 ),
inference(backward_demodulation,[status(thm)],[f10752,f8541]) ).
fof(f10776,plain,
! [X0] :
( ~ sQ317_spl
| ~ sQ336_spl
| gt(n1000,n0)
| uniform_int_rnd(X0,n0) = n1000 ),
inference(backward_demodulation,[status(thm)],[f10752,f9616]) ).
fof(f10779,plain,
! [X0] :
( ~ sQ282_spl
| ~ sQ336_spl
| gt(n5,n0)
| uniform_int_rnd(X0,n0) = n5 ),
inference(backward_demodulation,[status(thm)],[f10752,f9261]) ).
fof(f10787,plain,
! [X0] :
( ~ sQ282_spl
| ~ sQ336_spl
| gt(n3,n0)
| uniform_int_rnd(X0,n0) = n3 ),
inference(backward_demodulation,[status(thm)],[f10752,f8631]) ).
fof(f10791,plain,
! [X0] :
( ~ sQ282_spl
| ~ sQ336_spl
| gt(n2,n0)
| uniform_int_rnd(X0,n0) = n2 ),
inference(backward_demodulation,[status(thm)],[f10752,f8513]) ).
fof(f10795,plain,
! [X0] :
( ~ sQ239_spl
| ~ sQ336_spl
| gt(n1,n0)
| uniform_int_rnd(X0,n0) = n1 ),
inference(backward_demodulation,[status(thm)],[f10752,f7296]) ).
fof(f10796,definition,
! [X0] :
( sQ337_spl
<=> uniform_int_rnd(X0,n0) = pv5 ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f10797,plain,
! [X0] :
( ~ sQ337_spl
| uniform_int_rnd(X0,n0) = pv5 ),
inference(component_clause,[status(thm)],[f10796]) ).
fof(f10799,plain,
( ~ sQ284_spl
| ~ sQ336_spl
| sQ25_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f10771,f10796,f1278,f10751,f8537]) ).
fof(f10800,definition,
! [X0] :
( sQ338_spl
<=> uniform_int_rnd(X0,n0) = n1000 ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f10801,plain,
! [X0] :
( ~ sQ338_spl
| uniform_int_rnd(X0,n0) = n1000 ),
inference(component_clause,[status(thm)],[f10800]) ).
fof(f10803,plain,
( ~ sQ317_spl
| ~ sQ336_spl
| sQ97_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f10776,f10800,f3134,f10751,f9611]) ).
fof(f10804,definition,
! [X0] :
( sQ339_spl
<=> uniform_int_rnd(X0,n0) = n5 ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f10805,plain,
! [X0] :
( ~ sQ339_spl
| uniform_int_rnd(X0,n0) = n5 ),
inference(component_clause,[status(thm)],[f10804]) ).
fof(f10807,plain,
( ~ sQ282_spl
| ~ sQ336_spl
| sQ91_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f10779,f10804,f2995,f10751,f8509]) ).
fof(f10808,definition,
! [X0] :
( sQ340_spl
<=> uniform_int_rnd(X0,n0) = n3 ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f10809,plain,
! [X0] :
( ~ sQ340_spl
| uniform_int_rnd(X0,n0) = n3 ),
inference(component_clause,[status(thm)],[f10808]) ).
fof(f10811,plain,
( ~ sQ282_spl
| ~ sQ336_spl
| sQ83_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f10787,f10808,f2789,f10751,f8509]) ).
fof(f10812,definition,
! [X0] :
( sQ341_spl
<=> uniform_int_rnd(X0,n0) = n4 ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f10813,plain,
! [X0] :
( ~ sQ341_spl
| uniform_int_rnd(X0,n0) = n4 ),
inference(component_clause,[status(thm)],[f10812]) ).
fof(f10816,definition,
! [X0] :
( sQ342_spl
<=> uniform_int_rnd(X0,n0) = n2 ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f10817,plain,
! [X0] :
( ~ sQ342_spl
| uniform_int_rnd(X0,n0) = n2 ),
inference(component_clause,[status(thm)],[f10816]) ).
fof(f10819,plain,
( ~ sQ282_spl
| ~ sQ336_spl
| sQ103_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f10791,f10816,f3289,f10751,f8509]) ).
fof(f10820,definition,
! [X0] :
( sQ343_spl
<=> uniform_int_rnd(X0,n0) = n7 ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f10821,plain,
! [X0] :
( ~ sQ343_spl
| uniform_int_rnd(X0,n0) = n7 ),
inference(component_clause,[status(thm)],[f10820]) ).
fof(f10824,definition,
! [X0] :
( sQ344_spl
<=> uniform_int_rnd(X0,n0) = n1 ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f10825,plain,
! [X0] :
( ~ sQ344_spl
| uniform_int_rnd(X0,n0) = n1 ),
inference(component_clause,[status(thm)],[f10824]) ).
fof(f10827,plain,
( ~ sQ239_spl
| ~ sQ336_spl
| sQ67_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f10795,f10824,f2257,f10751,f7292]) ).
fof(f10828,plain,
( ~ sQ344_spl
| ~ sQ336_spl
| n0 = n1 ),
inference(forward_demodulation,[status(thm)],[f10752,f10825]) ).
fof(f10829,plain,
( ~ sQ344_spl
| ~ sQ336_spl
| sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10828,f2256]) ).
fof(f10830,plain,
( ~ sQ344_spl
| ~ sQ336_spl
| sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f10829]) ).
fof(f10831,plain,
( ~ sQ343_spl
| ~ sQ336_spl
| n0 = n7 ),
inference(forward_demodulation,[status(thm)],[f10752,f10821]) ).
fof(f10832,plain,
( ~ sQ343_spl
| ~ sQ336_spl
| sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10831,f2355]) ).
fof(f10833,plain,
( ~ sQ343_spl
| ~ sQ336_spl
| sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f10832]) ).
fof(f10834,plain,
( ~ sQ342_spl
| ~ sQ336_spl
| n0 = n2 ),
inference(forward_demodulation,[status(thm)],[f10752,f10817]) ).
fof(f10835,plain,
( ~ sQ342_spl
| ~ sQ336_spl
| sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10834,f3287]) ).
fof(f10836,plain,
( ~ sQ342_spl
| ~ sQ336_spl
| sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f10835]) ).
fof(f10837,plain,
( ~ sQ341_spl
| ~ sQ336_spl
| n0 = n4 ),
inference(forward_demodulation,[status(thm)],[f10752,f10813]) ).
fof(f10838,plain,
( ~ sQ341_spl
| ~ sQ336_spl
| sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10837,f2618]) ).
fof(f10839,plain,
( ~ sQ341_spl
| ~ sQ336_spl
| sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f10838]) ).
fof(f10840,plain,
( ~ sQ340_spl
| ~ sQ336_spl
| n0 = n3 ),
inference(forward_demodulation,[status(thm)],[f10752,f10809]) ).
fof(f10841,plain,
( ~ sQ340_spl
| ~ sQ336_spl
| sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10840,f2787]) ).
fof(f10842,plain,
( ~ sQ340_spl
| ~ sQ336_spl
| sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f10841]) ).
fof(f10843,plain,
( ~ sQ339_spl
| ~ sQ336_spl
| n0 = n5 ),
inference(forward_demodulation,[status(thm)],[f10752,f10805]) ).
fof(f10844,plain,
( ~ sQ339_spl
| ~ sQ336_spl
| sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10843,f2993]) ).
fof(f10845,plain,
( ~ sQ339_spl
| ~ sQ336_spl
| sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f10844]) ).
fof(f10846,plain,
( ~ sQ338_spl
| ~ sQ336_spl
| n0 = n1000 ),
inference(forward_demodulation,[status(thm)],[f10752,f10801]) ).
fof(f10847,plain,
( ~ sQ338_spl
| ~ sQ336_spl
| sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10846,f3132]) ).
fof(f10848,plain,
( ~ sQ338_spl
| ~ sQ336_spl
| sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f10847]) ).
fof(f10849,plain,
( ~ sQ337_spl
| ~ sQ336_spl
| n0 = pv5 ),
inference(forward_demodulation,[status(thm)],[f10752,f10797]) ).
fof(f10850,plain,
( ~ sQ337_spl
| ~ sQ336_spl
| sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10849,f2183]) ).
fof(f10851,plain,
( ~ sQ337_spl
| ~ sQ336_spl
| sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f10850]) ).
fof(f10854,plain,
! [X0] :
( ~ sQ336_spl
| leq(X0,n0)
| ~ leq(X0,n0)
| ~ leq(n0,n0) ),
inference(paramodulation,[status(thm)],[f10752,f2852]) ).
fof(f10855,plain,
( ~ sQ336_spl
| geq(n0,n0)
| ~ leq(n0,n0) ),
inference(paramodulation,[status(thm)],[f10752,f2851]) ).
fof(f10860,definition,
! [X0] :
( sQ345_spl
<=> ( leq(X0,n0)
| ~ leq(X0,n0) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f10863,plain,
( ~ sQ336_spl
| sQ345_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f10854,f1242,f10860,f10751]) ).
fof(f10864,definition,
( sQ346_spl
<=> geq(n0,n0) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f10867,plain,
( ~ sQ336_spl
| sQ346_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f10855,f1242,f10864,f10751]) ).
fof(f10884,plain,
! [X0] :
( ~ leq(n0,n3)
| leq(uniform_int_rnd(X0,n3),n7) ),
inference(resolution,[status(thm)],[f4170,f157]) ).
fof(f10887,definition,
! [X0] :
( sQ348_spl
<=> leq(uniform_int_rnd(X0,n3),n7) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f10890,plain,
( ~ sQ16_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f10884,f10887,f1251]) ).
fof(f10935,plain,
! [X0] :
( ~ leq(n0,n5)
| leq(uniform_int_rnd(X0,n5),n7) ),
inference(resolution,[status(thm)],[f2931,f157]) ).
fof(f10938,definition,
! [X0] :
( sQ349_spl
<=> leq(uniform_int_rnd(X0,n5),n7) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f10941,plain,
( ~ sQ27_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f10935,f10938,f1285]) ).
fof(f10968,definition,
( sQ350_spl
<=> succ(n1) = n0 ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f10969,plain,
( ~ sQ350_spl
| succ(n1) = n0 ),
inference(component_clause,[status(thm)],[f10968]) ).
fof(f10972,plain,
( ~ sQ350_spl
| n2 = n0 ),
inference(forward_demodulation,[status(thm)],[f2149,f10969]) ).
fof(f10973,plain,
( ~ sQ350_spl
| sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10972,f3287]) ).
fof(f10974,plain,
( ~ sQ350_spl
| sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f10973]) ).
fof(f11049,plain,
! [X0] :
( ~ leq(n0,n5)
| leq(uniform_int_rnd(X0,n5),n1000) ),
inference(resolution,[status(thm)],[f6700,f157]) ).
fof(f11052,definition,
! [X0] :
( sQ351_spl
<=> leq(uniform_int_rnd(X0,n5),n1000) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f11055,plain,
( ~ sQ27_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f11049,f11052,f1285]) ).
fof(f11062,plain,
! [X0] :
( ~ leq(n0,n6)
| leq(uniform_int_rnd(X0,n6),n7) ),
inference(resolution,[status(thm)],[f2873,f157]) ).
fof(f11065,definition,
! [X0] :
( sQ352_spl
<=> leq(uniform_int_rnd(X0,n6),n7) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f11068,plain,
( ~ sQ28_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f11062,f11065,f1288]) ).
fof(f11102,plain,
! [X0] :
( ~ leq(n0,n3)
| leq(uniform_int_rnd(X0,n3),n6) ),
inference(resolution,[status(thm)],[f5486,f157]) ).
fof(f11105,definition,
! [X0] :
( sQ353_spl
<=> leq(uniform_int_rnd(X0,n3),n6) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f11108,plain,
( ~ sQ16_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f11102,f11105,f1251]) ).
fof(f11139,plain,
! [X0] :
( ~ leq(n0,n5)
| leq(uniform_int_rnd(X0,n5),n6) ),
inference(resolution,[status(thm)],[f2410,f157]) ).
fof(f11142,definition,
! [X0] :
( sQ354_spl
<=> leq(uniform_int_rnd(X0,n5),n6) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f11145,plain,
( ~ sQ27_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f11139,f11142,f1285]) ).
fof(f11201,plain,
( ~ sQ273_spl
| gt(pv5,n5) ),
inference(resolution,[status(thm)],[f2212,f8061]) ).
fof(f11210,plain,
! [X0] :
( ~ leq(n0,n1)
| leq(uniform_int_rnd(X0,n1),n6) ),
inference(resolution,[status(thm)],[f4108,f157]) ).
fof(f11213,definition,
! [X0] :
( sQ355_spl
<=> leq(uniform_int_rnd(X0,n1),n6) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f11216,plain,
( ~ sQ14_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f11210,f11213,f1245]) ).
fof(f11235,plain,
! [X0,X1] :
( uniform_int_rnd(X1,X0) = n6
| uniform_int_rnd(X1,X0) = n5
| uniform_int_rnd(X1,X0) = n4
| uniform_int_rnd(X1,X0) = n3
| uniform_int_rnd(X1,X0) = n2
| uniform_int_rnd(X1,X0) = n1
| uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n6)
| ~ leq(n0,n0)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f3350,f352]) ).
fof(f11236,plain,
! [X0,X1] :
( uniform_int_rnd(X1,X0) = n5
| uniform_int_rnd(X1,X0) = n4
| uniform_int_rnd(X1,X0) = n3
| uniform_int_rnd(X1,X0) = n2
| uniform_int_rnd(X1,X0) = n1
| uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n5)
| ~ leq(n0,n0)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f3350,f350]) ).
fof(f11237,plain,
! [X0,X1] :
( uniform_int_rnd(X1,X0) = n3
| uniform_int_rnd(X1,X0) = n2
| uniform_int_rnd(X1,X0) = n1
| uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n3)
| ~ leq(n0,n0)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f3350,f360]) ).
fof(f11238,plain,
! [X0,X1] :
( uniform_int_rnd(X1,X0) = n4
| uniform_int_rnd(X1,X0) = n3
| uniform_int_rnd(X1,X0) = n2
| uniform_int_rnd(X1,X0) = n1
| uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n4)
| ~ leq(n0,n0)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f3350,f348]) ).
fof(f11239,plain,
! [X0,X1] :
( uniform_int_rnd(X1,X0) = n2
| uniform_int_rnd(X1,X0) = n1
| uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n2)
| ~ leq(n0,n0)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f3350,f358]) ).
fof(f11240,plain,
! [X0,X1] :
( uniform_int_rnd(X1,X0) = n1
| uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n1)
| ~ leq(n0,n0)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f3350,f356]) ).
fof(f11241,plain,
! [X0,X1] :
( uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n0)
| ~ leq(n0,n0)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f3350,f354]) ).
fof(f11250,definition,
! [X0,X1] :
( sQ356_spl
<=> ( uniform_int_rnd(X1,X0) = n6
| uniform_int_rnd(X1,X0) = n5
| uniform_int_rnd(X1,X0) = n4
| uniform_int_rnd(X1,X0) = n3
| uniform_int_rnd(X1,X0) = n2
| uniform_int_rnd(X1,X0) = n1
| uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n6)
| ~ leq(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f11253,plain,
( ~ sQ13_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f11235,f11250,f1242]) ).
fof(f11254,definition,
! [X0,X1] :
( sQ357_spl
<=> ( uniform_int_rnd(X1,X0) = n5
| uniform_int_rnd(X1,X0) = n4
| uniform_int_rnd(X1,X0) = n3
| uniform_int_rnd(X1,X0) = n2
| uniform_int_rnd(X1,X0) = n1
| uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n5)
| ~ leq(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f11257,plain,
( ~ sQ13_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f11236,f11254,f1242]) ).
fof(f11258,definition,
! [X0,X1] :
( sQ358_spl
<=> ( uniform_int_rnd(X1,X0) = n3
| uniform_int_rnd(X1,X0) = n2
| uniform_int_rnd(X1,X0) = n1
| uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n3)
| ~ leq(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f11261,plain,
( ~ sQ13_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f11237,f11258,f1242]) ).
fof(f11262,definition,
! [X0,X1] :
( sQ359_spl
<=> ( uniform_int_rnd(X1,X0) = n4
| uniform_int_rnd(X1,X0) = n3
| uniform_int_rnd(X1,X0) = n2
| uniform_int_rnd(X1,X0) = n1
| uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n4)
| ~ leq(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f11265,plain,
( ~ sQ13_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f11238,f11262,f1242]) ).
fof(f11266,definition,
! [X0,X1] :
( sQ360_spl
<=> ( uniform_int_rnd(X1,X0) = n2
| uniform_int_rnd(X1,X0) = n1
| uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n2)
| ~ leq(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f11269,plain,
( ~ sQ13_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f11239,f11266,f1242]) ).
fof(f11270,definition,
! [X0,X1] :
( sQ361_spl
<=> ( uniform_int_rnd(X1,X0) = n1
| uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n1)
| ~ leq(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f11273,plain,
( ~ sQ13_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f11240,f11270,f1242]) ).
fof(f11274,definition,
! [X0,X1] :
( sQ362_spl
<=> ( uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n0)
| ~ leq(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f11277,plain,
( ~ sQ13_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f11241,f11274,f1242]) ).
fof(f11280,plain,
! [X0] :
( ~ leq(n0,n1)
| ~ leq(n0,n1)
| uniform_int_rnd(X0,n1) = n1
| uniform_int_rnd(X0,n1) = n0 ),
inference(resolution,[status(thm)],[f3366,f157]) ).
fof(f11282,plain,
! [X0] :
( ~ sQ336_spl
| ~ leq(n0,n0)
| uniform_int_rnd(X0,n0) = n1
| uniform_int_rnd(X0,n0) = n0
| ~ leq(n0,n1) ),
inference(paramodulation,[status(thm)],[f10752,f3366]) ).
fof(f11283,definition,
! [X0] :
( sQ363_spl
<=> ( uniform_int_rnd(X0,n1) = n1
| uniform_int_rnd(X0,n1) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f11286,plain,
( ~ sQ14_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f11280,f11283,f1245]) ).
fof(f11288,definition,
! [X0] :
( sQ364_spl
<=> ( uniform_int_rnd(X0,n0) = n1
| uniform_int_rnd(X0,n0) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f11291,plain,
( ~ sQ336_spl
| ~ sQ13_spl
| sQ364_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f11282,f1245,f11288,f1242,f10751]) ).
fof(f11301,plain,
! [X0] :
( ~ leq(n0,n0)
| leq(uniform_int_rnd(X0,n0),n6) ),
inference(resolution,[status(thm)],[f3445,f157]) ).
fof(f11304,definition,
! [X0] :
( sQ365_spl
<=> leq(uniform_int_rnd(X0,n0),n6) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f11307,plain,
( ~ sQ13_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f11301,f11304,f1242]) ).
fof(f11328,plain,
! [X0] :
( ~ leq(n0,n2)
| leq(uniform_int_rnd(X0,n2),n6) ),
inference(resolution,[status(thm)],[f4859,f157]) ).
fof(f11331,definition,
! [X0] :
( sQ366_spl
<=> leq(uniform_int_rnd(X0,n2),n6) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f11334,plain,
( ~ sQ15_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f11328,f11331,f1248]) ).
fof(f11340,plain,
! [X0] :
( ~ leq(n0,n1)
| leq(uniform_int_rnd(X0,n1),n7) ),
inference(resolution,[status(thm)],[f7234,f157]) ).
fof(f11343,definition,
! [X0] :
( sQ367_spl
<=> leq(uniform_int_rnd(X0,n1),n7) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f11346,plain,
( ~ sQ14_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f11340,f11343,f1245]) ).
fof(f11348,plain,
! [X0] :
( ~ leq(n0,n1)
| leq(uniform_int_rnd(X0,n1),n1000) ),
inference(resolution,[status(thm)],[f7243,f157]) ).
fof(f11351,definition,
! [X0] :
( sQ368_spl
<=> leq(uniform_int_rnd(X0,n1),n1000) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f11354,plain,
( ~ sQ14_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f11348,f11351,f1245]) ).
fof(f11362,plain,
! [X0] :
( ~ sQ228_spl
| ~ leq(n0,n4)
| leq(uniform_int_rnd(X0,n4),n6) ),
inference(resolution,[status(thm)],[f7259,f157]) ).
fof(f11365,definition,
! [X0] :
( sQ369_spl
<=> leq(uniform_int_rnd(X0,n4),n6) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f11368,plain,
( ~ sQ228_spl
| ~ sQ26_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f11362,f11365,f1282,f6823]) ).
fof(f11380,plain,
! [X0] :
( ~ leq(n0,n6)
| leq(uniform_int_rnd(X0,n6),n1000) ),
inference(resolution,[status(thm)],[f7482,f157]) ).
fof(f11383,definition,
! [X0] :
( sQ370_spl
<=> leq(uniform_int_rnd(X0,n6),n1000) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f11386,plain,
( ~ sQ28_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f11380,f11383,f1288]) ).
fof(f11395,plain,
plus(n0,n4) = plus(n3,n1),
inference(paramodulation,[status(thm)],[f364,f2116]) ).
fof(f11400,plain,
n4 = plus(n3,n1),
inference(forward_demodulation,[status(thm)],[f2136,f11395]) ).
fof(f11405,plain,
n4 = succ(n3),
inference(forward_demodulation,[status(thm)],[f236,f11400]) ).
fof(f11437,plain,
! [X0] :
( ~ leq(n0,n6)
| leq(uniform_int_rnd(X0,n6),n588) ),
inference(resolution,[status(thm)],[f7852,f157]) ).
fof(f11440,definition,
! [X0] :
( sQ371_spl
<=> leq(uniform_int_rnd(X0,n6),n588) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f11443,plain,
( ~ sQ28_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f11437,f11440,f1288]) ).
fof(f11480,definition,
( sQ372_spl
<=> succ(n1) = n1 ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f11481,plain,
( ~ sQ372_spl
| succ(n1) = n1 ),
inference(component_clause,[status(thm)],[f11480]) ).
fof(f11487,definition,
( sQ373_spl
<=> succ(tptp_minus_1) = n1 ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f11488,plain,
( ~ sQ373_spl
| succ(tptp_minus_1) = n1 ),
inference(component_clause,[status(thm)],[f11487]) ).
fof(f11491,plain,
( ~ sQ373_spl
| n0 = n1 ),
inference(forward_demodulation,[status(thm)],[f235,f11488]) ).
fof(f11492,plain,
( ~ sQ373_spl
| sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11491,f2256]) ).
fof(f11493,plain,
( ~ sQ373_spl
| sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f11492]) ).
fof(f11494,plain,
( ~ sQ372_spl
| n2 = n1 ),
inference(forward_demodulation,[status(thm)],[f2149,f11481]) ).
fof(f11495,plain,
( ~ sQ372_spl
| sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11494,f3944]) ).
fof(f11496,plain,
( ~ sQ372_spl
| sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f11495]) ).
fof(f11509,plain,
( sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1305,f2234]) ).
fof(f11510,plain,
sQ33_spl,
inference(contradiction_clause,[status(thm)],[f11509]) ).
fof(f11511,plain,
( sQ34_spl
| ~ leq(n4,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f246,f1308]) ).
fof(f11512,plain,
( sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1311,f2233]) ).
fof(f11513,plain,
sQ35_spl,
inference(contradiction_clause,[status(thm)],[f11512]) ).
fof(f11514,plain,
( sQ36_spl
| ~ leq(n5,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f246,f1314]) ).
fof(f11515,plain,
( sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1317,f2232]) ).
fof(f11516,plain,
sQ37_spl,
inference(contradiction_clause,[status(thm)],[f11515]) ).
fof(f11517,plain,
( sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1320,f128]) ).
fof(f11518,plain,
sQ38_spl,
inference(contradiction_clause,[status(thm)],[f11517]) ).
fof(f11519,plain,
( ~ sQ244_spl
| ~ sQ242_spl
| n1 = n3 ),
inference(forward_demodulation,[status(thm)],[f7317,f7323]) ).
fof(f11520,plain,
( ~ sQ244_spl
| ~ sQ242_spl
| sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11519,f3375]) ).
fof(f11521,plain,
( ~ sQ244_spl
| ~ sQ242_spl
| sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f11520]) ).
fof(f11527,plain,
( sQ34_spl
| ~ sQ265_spl
| ~ leq(n4,n5) ),
inference(backward_demodulation,[status(thm)],[f7900,f11511]) ).
fof(f11528,plain,
( sQ39_spl
| ~ sQ265_spl
| ~ leq(n3,n5) ),
inference(backward_demodulation,[status(thm)],[f7900,f10701]) ).
fof(f11557,plain,
( sQ34_spl
| ~ sQ265_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f11527,f6010,f7899,f1306]) ).
fof(f11558,plain,
( sQ39_spl
| ~ sQ265_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f11528,f6006,f7899,f1322]) ).
fof(f11559,plain,
( sQ22_spl
| ~ sQ265_spl
| ~ leq(n2,n5) ),
inference(forward_demodulation,[status(thm)],[f7900,f7875]) ).
fof(f11560,plain,
( sQ22_spl
| ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11559,f2315]) ).
fof(f11561,plain,
( sQ22_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f11560]) ).
fof(f11600,plain,
( sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7889,f8462]) ).
fof(f11601,plain,
sQ261_spl,
inference(contradiction_clause,[status(thm)],[f11600]) ).
fof(f11618,plain,
( ~ sQ34_spl
| ~ sQ262_spl
| leq(n4,n2) ),
inference(backward_demodulation,[status(thm)],[f7891,f2163]) ).
fof(f11640,plain,
( ~ sQ34_spl
| ~ sQ263_spl
| leq(n4,n3) ),
inference(forward_demodulation,[status(thm)],[f7894,f2163]) ).
fof(f11641,plain,
( ~ sQ34_spl
| ~ sQ263_spl
| sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11640,f5686]) ).
fof(f11642,plain,
( ~ sQ34_spl
| ~ sQ263_spl
| sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f11641]) ).
fof(f11724,plain,
( ~ sQ61_spl
| leq(pv21,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f246,f2065]) ).
fof(f11921,plain,
plus(n0,n5) = plus(n4,n1),
inference(paramodulation,[status(thm)],[f364,f2123]) ).
fof(f11929,plain,
n5 = plus(n4,n1),
inference(forward_demodulation,[status(thm)],[f2141,f11921]) ).
fof(f11930,plain,
n5 = plus(n1,n4),
inference(forward_demodulation,[status(thm)],[f2119,f11929]) ).
fof(f11936,plain,
n5 = succ(n4),
inference(forward_demodulation,[status(thm)],[f237,f11930]) ).
fof(f11969,plain,
( ~ sQ278_spl
| gt(pv5,n3) ),
inference(resolution,[status(thm)],[f8082,f2335]) ).
fof(f11970,plain,
( ~ sQ278_spl
| gt(pv5,n1) ),
inference(resolution,[status(thm)],[f8082,f3839]) ).
fof(f11972,plain,
( ~ sQ278_spl
| gt(pv5,n2) ),
inference(resolution,[status(thm)],[f8082,f2314]) ).
fof(f12077,plain,
( ~ sQ24_spl
| leq(pv5,pred(n1000)) ),
inference(forward_demodulation,[status(thm)],[f246,f1276]) ).
fof(f12088,plain,
( ~ sQ277_spl
| ~ sQ65_spl
| gt(n0,n1) ),
inference(backward_demodulation,[status(thm)],[f2182,f8077]) ).
fof(f12203,plain,
( ~ sQ120_spl
| ~ sQ65_spl
| n0 = n1 ),
inference(forward_demodulation,[status(thm)],[f2182,f3801]) ).
fof(f12204,plain,
( ~ sQ120_spl
| ~ sQ65_spl
| sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12203,f2256]) ).
fof(f12205,plain,
( ~ sQ120_spl
| ~ sQ65_spl
| sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f12204]) ).
fof(f12207,plain,
( sQ275_spl
| ~ sQ218_spl
| ~ gt(n5,n3) ),
inference(forward_demodulation,[status(thm)],[f6561,f8070]) ).
fof(f12208,plain,
( sQ275_spl
| ~ sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12207,f343]) ).
fof(f12209,plain,
( sQ275_spl
| ~ sQ218_spl ),
inference(contradiction_clause,[status(thm)],[f12208]) ).
fof(f12214,plain,
( ~ sQ119_spl
| ~ sQ255_spl
| leq(n6,n1) ),
inference(forward_demodulation,[status(thm)],[f7435,f3798]) ).
fof(f12215,plain,
( ~ sQ119_spl
| ~ sQ255_spl
| sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12214,f3448]) ).
fof(f12216,plain,
( ~ sQ119_spl
| ~ sQ255_spl
| sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f12215]) ).
fof(f12221,plain,
( ~ sQ121_spl
| ~ sQ120_spl
| leq(n1,n0) ),
inference(forward_demodulation,[status(thm)],[f3801,f3805]) ).
fof(f12222,plain,
( ~ sQ121_spl
| ~ sQ120_spl
| sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12221,f4029]) ).
fof(f12223,plain,
( ~ sQ121_spl
| ~ sQ120_spl
| sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f12222]) ).
fof(f12246,plain,
( ~ sQ157_spl
| ~ sQ65_spl
| n0 = n2 ),
inference(forward_demodulation,[status(thm)],[f2182,f4823]) ).
fof(f12247,plain,
( ~ sQ157_spl
| ~ sQ65_spl
| sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12246,f3287]) ).
fof(f12248,plain,
( ~ sQ157_spl
| ~ sQ65_spl
| sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f12247]) ).
fof(f12253,plain,
( ~ sQ278_spl
| ~ sQ187_spl
| gt(succ(n3),n4) ),
inference(forward_demodulation,[status(thm)],[f5795,f9181]) ).
fof(f12254,plain,
( ~ sQ278_spl
| ~ sQ187_spl
| gt(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f11405,f12253]) ).
fof(f12255,plain,
( ~ sQ278_spl
| ~ sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12254,f127]) ).
fof(f12256,plain,
( ~ sQ278_spl
| ~ sQ187_spl ),
inference(contradiction_clause,[status(thm)],[f12255]) ).
fof(f12258,plain,
( ~ sQ121_spl
| ~ sQ187_spl
| leq(n3,n0) ),
inference(forward_demodulation,[status(thm)],[f5795,f3805]) ).
fof(f12259,plain,
( ~ sQ121_spl
| ~ sQ187_spl
| sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12258,f2784]) ).
fof(f12260,plain,
( ~ sQ121_spl
| ~ sQ187_spl
| sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f12259]) ).
fof(f12278,plain,
( ~ sQ64_spl
| ~ sQ157_spl
| leq(n2,n0) ),
inference(forward_demodulation,[status(thm)],[f4823,f2395]) ).
fof(f12279,plain,
( ~ sQ64_spl
| ~ sQ157_spl
| sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12278,f3284]) ).
fof(f12280,plain,
( ~ sQ64_spl
| ~ sQ157_spl
| sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f12279]) ).
fof(f12320,plain,
( ~ sQ121_spl
| ~ sQ189_spl
| leq(n4,n0) ),
inference(forward_demodulation,[status(thm)],[f5802,f3805]) ).
fof(f12321,plain,
( ~ sQ121_spl
| ~ sQ189_spl
| sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12320,f3193]) ).
fof(f12322,plain,
( ~ sQ121_spl
| ~ sQ189_spl
| sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f12321]) ).
fof(f12334,plain,
( ~ sQ217_spl
| leq(pv5,n6) ),
inference(resolution,[status(thm)],[f6558,f2410]) ).
fof(f12337,plain,
( ~ sQ217_spl
| ~ gt(pv5,n5) ),
inference(resolution,[status(thm)],[f6558,f8766]) ).
fof(f12338,plain,
( ~ sQ217_spl
| gt(n5,pv5)
| pv5 = n5 ),
inference(resolution,[status(thm)],[f6558,f143]) ).
fof(f12341,definition,
( sQ379_spl
<=> gt(n5,pv5) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f12344,plain,
( ~ sQ217_spl
| sQ379_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f12338,f6560,f12341,f6557]) ).
fof(f12351,plain,
( ~ sQ186_spl
| gt(n3,pv5)
| pv5 = n3 ),
inference(resolution,[status(thm)],[f5792,f143]) ).
fof(f12354,definition,
( sQ380_spl
<=> gt(n3,pv5) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f12357,plain,
( ~ sQ186_spl
| sQ380_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f12351,f5794,f12354,f5791]) ).
fof(f12358,plain,
( sQ271_spl
| n588 = pv5
| gt(n588,pv5) ),
inference(resolution,[status(thm)],[f8055,f123]) ).
fof(f12359,definition,
( sQ381_spl
<=> gt(n588,pv5) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f12360,plain,
( ~ sQ381_spl
| gt(n588,pv5) ),
inference(component_clause,[status(thm)],[f12359]) ).
fof(f12362,plain,
( sQ271_spl
| sQ272_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f12358,f12359,f8056,f8053]) ).
fof(f12366,plain,
( ~ sQ11_spl
| gt(n588,pv5)
| pv5 = n588 ),
inference(resolution,[status(thm)],[f1230,f143]) ).
fof(f12369,plain,
( ~ sQ11_spl
| sQ381_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f12366,f8056,f12359,f1229]) ).
fof(f12370,plain,
( sQ115_spl
| ~ sQ272_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f8155,f3797,f8056,f3670]) ).
fof(f12372,plain,
( sQ190_spl
| ~ sQ272_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f8161,f5791,f8056,f5871]) ).
fof(f12383,plain,
( ~ sQ272_spl
| ~ gt(n0,pv5) ),
inference(backward_demodulation,[status(thm)],[f8057,f8811]) ).
fof(f12384,plain,
( ~ sQ272_spl
| ~ gt(n1,pv5) ),
inference(backward_demodulation,[status(thm)],[f8057,f8802]) ).
fof(f12385,plain,
( ~ sQ272_spl
| ~ gt(n2,pv5) ),
inference(backward_demodulation,[status(thm)],[f8057,f8794]) ).
fof(f12389,plain,
( ~ sQ272_spl
| ~ gt(n7,pv5) ),
inference(backward_demodulation,[status(thm)],[f8057,f8774]) ).
fof(f12390,plain,
( ~ sQ272_spl
| ~ gt(n6,pv5) ),
inference(backward_demodulation,[status(thm)],[f8057,f8771]) ).
fof(f12498,plain,
( ~ sQ272_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f8150,f8064,f8056]) ).
fof(f12499,plain,
( sQ92_spl
| ~ sQ272_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f8146,f3804,f8056,f3059]) ).
fof(f12505,plain,
( sQ257_spl
| ~ sQ272_spl
| ~ sQ254_spl ),
inference(split_clause,[status(thm)],[f8136,f7431,f8056,f7634]) ).
fof(f12508,plain,
( ~ sQ272_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f12383,f2178,f8056]) ).
fof(f12519,plain,
( ~ sQ278_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f11972,f8072,f8081]) ).
fof(f12521,plain,
( ~ sQ278_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f11970,f8076,f8081]) ).
fof(f12522,plain,
( ~ sQ278_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f11969,f8068,f8081]) ).
fof(f12557,plain,
( sQ273_spl
| n6 = pv5
| gt(n6,pv5) ),
inference(resolution,[status(thm)],[f8062,f123]) ).
fof(f12558,definition,
( sQ382_spl
<=> gt(n6,pv5) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f12559,plain,
( ~ sQ382_spl
| gt(n6,pv5) ),
inference(component_clause,[status(thm)],[f12558]) ).
fof(f12561,plain,
( sQ273_spl
| sQ255_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f12557,f12558,f7434,f8060]) ).
fof(f12563,definition,
( sQ383_spl
<=> gt(n1,pv5) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f12564,plain,
( ~ sQ383_spl
| gt(n1,pv5) ),
inference(component_clause,[status(thm)],[f12563]) ).
fof(f12567,plain,
( sQ276_spl
| n2 = pv5
| gt(n2,pv5) ),
inference(resolution,[status(thm)],[f8074,f123]) ).
fof(f12568,definition,
( sQ384_spl
<=> gt(n2,pv5) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f12569,plain,
( ~ sQ384_spl
| gt(n2,pv5) ),
inference(component_clause,[status(thm)],[f12568]) ).
fof(f12571,plain,
( sQ276_spl
| sQ157_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f12567,f12568,f4822,f8072]) ).
fof(f12580,plain,
( ~ sQ119_spl
| gt(n1,pv5)
| pv5 = n1 ),
inference(resolution,[status(thm)],[f3798,f143]) ).
fof(f12583,plain,
( ~ sQ119_spl
| sQ383_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f12580,f3800,f12563,f3797]) ).
fof(f12587,plain,
( ~ sQ254_spl
| gt(n6,pv5)
| pv5 = n6 ),
inference(resolution,[status(thm)],[f7432,f143]) ).
fof(f12590,plain,
( ~ sQ254_spl
| sQ382_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f12587,f7434,f12558,f7431]) ).
fof(f12636,definition,
( sQ385_spl
<=> pv5 = n1000 ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f12637,plain,
( ~ sQ385_spl
| pv5 = n1000 ),
inference(component_clause,[status(thm)],[f12636]) ).
fof(f12639,definition,
( sQ386_spl
<=> gt(n1000,pv5) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f12640,plain,
( ~ sQ386_spl
| gt(n1000,pv5) ),
inference(component_clause,[status(thm)],[f12639]) ).
fof(f12641,plain,
( sQ386_spl
| ~ gt(n1000,pv5) ),
inference(component_clause,[status(thm)],[f12639]) ).
fof(f12681,plain,
( sQ271_spl
| ~ sQ385_spl
| ~ gt(n1000,n588) ),
inference(backward_demodulation,[status(thm)],[f12637,f8055]) ).
fof(f12731,plain,
pred(n6) = n5,
inference(paramodulation,[status(thm)],[f2168,f247]) ).
fof(f12738,definition,
( sQ387_spl
<=> succ(n5) = n0 ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f12739,plain,
( ~ sQ387_spl
| succ(n5) = n0 ),
inference(component_clause,[status(thm)],[f12738]) ).
fof(f12741,definition,
( sQ388_spl
<=> succ(n5) = n1 ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f12742,plain,
( ~ sQ388_spl
| succ(n5) = n1 ),
inference(component_clause,[status(thm)],[f12741]) ).
fof(f12748,plain,
( ~ sQ264_spl
| n4 = n5 ),
inference(forward_demodulation,[status(thm)],[f7897,f12731]) ).
fof(f12749,plain,
( ~ sQ264_spl
| sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12748,f2463]) ).
fof(f12750,plain,
( ~ sQ264_spl
| sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f12749]) ).
fof(f12770,plain,
( sQ63_spl
| ~ leq(n0,pred(n1000)) ),
inference(forward_demodulation,[status(thm)],[f246,f2082]) ).
fof(f12792,plain,
( sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12770,f2205]) ).
fof(f12793,plain,
sQ63_spl,
inference(contradiction_clause,[status(thm)],[f12792]) ).
fof(f12794,plain,
( ~ sQ387_spl
| n6 = n0 ),
inference(forward_demodulation,[status(thm)],[f2168,f12739]) ).
fof(f12795,plain,
( ~ sQ387_spl
| sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12794,f3451]) ).
fof(f12796,plain,
( ~ sQ387_spl
| sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f12795]) ).
fof(f12797,plain,
( ~ sQ388_spl
| n6 = n1 ),
inference(forward_demodulation,[status(thm)],[f2168,f12742]) ).
fof(f12798,plain,
( ~ sQ388_spl
| sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12797,f3454]) ).
fof(f12799,plain,
( ~ sQ388_spl
| sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f12798]) ).
fof(f12800,plain,
( sQ36_spl
| ~ leq(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f12731,f11514]) ).
fof(f12801,plain,
( sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12800,f128]) ).
fof(f12802,plain,
sQ36_spl,
inference(contradiction_clause,[status(thm)],[f12801]) ).
fof(f12803,plain,
( sQ265_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f12731,f7901]) ).
fof(f12804,plain,
( sQ265_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12803]) ).
fof(f12805,plain,
sQ265_spl,
inference(contradiction_clause,[status(thm)],[f12804]) ).
fof(f12810,plain,
( ~ sQ272_spl
| ~ sQ382_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12390,f12559]) ).
fof(f12811,plain,
( ~ sQ272_spl
| ~ sQ382_spl ),
inference(contradiction_clause,[status(thm)],[f12810]) ).
fof(f12836,plain,
( ~ sQ381_spl
| ~ sQ272_spl
| gt(pv5,pv5) ),
inference(backward_demodulation,[status(thm)],[f8057,f12360]) ).
fof(f12950,plain,
( ~ sQ272_spl
| ~ sQ383_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12384,f12564]) ).
fof(f12951,plain,
( ~ sQ272_spl
| ~ sQ383_spl ),
inference(contradiction_clause,[status(thm)],[f12950]) ).
fof(f12952,plain,
( ~ sQ272_spl
| ~ sQ384_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12385,f12569]) ).
fof(f12953,plain,
( ~ sQ272_spl
| ~ sQ384_spl ),
inference(contradiction_clause,[status(thm)],[f12952]) ).
fof(f12954,plain,
( ~ sQ34_spl
| ~ sQ262_spl
| sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11618,f3854]) ).
fof(f12955,plain,
( ~ sQ34_spl
| ~ sQ262_spl
| sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f12954]) ).
fof(f12958,plain,
( ~ sQ381_spl
| ~ sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12836,f127]) ).
fof(f12959,plain,
( ~ sQ381_spl
| ~ sQ272_spl ),
inference(contradiction_clause,[status(thm)],[f12958]) ).
fof(f13017,plain,
( ~ sQ274_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f10547,f8068,f8064]) ).
fof(f13023,plain,
( ~ sQ274_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f10546,f8081,f8064]) ).
fof(f13026,plain,
( ~ sQ276_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f10567,f8076,f8072]) ).
fof(f13129,plain,
( ~ sQ120_spl
| ~ sQ187_spl
| n3 = n1 ),
inference(forward_demodulation,[status(thm)],[f5795,f3801]) ).
fof(f13130,plain,
( ~ sQ120_spl
| ~ sQ187_spl
| sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13129,f3375]) ).
fof(f13131,plain,
( ~ sQ120_spl
| ~ sQ187_spl
| sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f13130]) ).
fof(f13142,plain,
( ~ sQ94_spl
| ~ sQ272_spl
| gt(n1000,pv5) ),
inference(backward_demodulation,[status(thm)],[f8057,f3078]) ).
fof(f13283,plain,
( ~ sQ61_spl
| leq(pv21,n5) ),
inference(forward_demodulation,[status(thm)],[f12731,f11724]) ).
fof(f13333,plain,
( ~ sQ275_spl
| gt(pv5,n2)
| n2 = pv5 ),
inference(resolution,[status(thm)],[f9576,f143]) ).
fof(f13336,plain,
( ~ sQ275_spl
| sQ276_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f13333,f4822,f8072,f8068]) ).
fof(f13338,plain,
( ~ sQ273_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f11201,f8064,f8060]) ).
fof(f13439,plain,
( ~ sQ157_spl
| ~ sQ218_spl
| n5 = n2 ),
inference(forward_demodulation,[status(thm)],[f6561,f4823]) ).
fof(f13440,plain,
( ~ sQ157_spl
| ~ sQ218_spl
| sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13439,f5006]) ).
fof(f13441,plain,
( ~ sQ157_spl
| ~ sQ218_spl
| sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f13440]) ).
fof(f13606,plain,
( ~ sQ272_spl
| pv5 = n7
| gt(pv5,n7) ),
inference(resolution,[status(thm)],[f12389,f123]) ).
fof(f13607,plain,
( ~ sQ272_spl
| sQ331_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f13606,f10113,f10110,f8056]) ).
fof(f13651,plain,
( ~ sQ274_spl
| ~ sQ379_spl ),
inference(split_clause,[status(thm)],[f8776,f12341,f8064]) ).
fof(f13658,plain,
( ~ sQ278_spl
| ~ sQ157_spl
| ~ gt(n4,n2) ),
inference(backward_demodulation,[status(thm)],[f4823,f8781]) ).
fof(f13801,plain,
( ~ sQ217_spl
| ~ sQ274_spl ),
inference(split_clause,[status(thm)],[f12337,f8064,f6557]) ).
fof(f13802,plain,
( ~ sQ217_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f12334,f7431,f6557]) ).
fof(f13806,plain,
( ~ sQ278_spl
| ~ sQ157_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13658,f3207]) ).
fof(f13807,plain,
( ~ sQ278_spl
| ~ sQ157_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f13806]) ).
fof(f14106,plain,
( sQ24_spl
| ~ gt(n1000,pv5) ),
inference(resolution,[status(thm)],[f2161,f147]) ).
fof(f14108,plain,
( sQ24_spl
| ~ sQ94_spl
| ~ sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14106,f13142]) ).
fof(f14109,plain,
( sQ24_spl
| ~ sQ94_spl
| ~ sQ272_spl ),
inference(contradiction_clause,[status(thm)],[f14108]) ).
fof(f14117,plain,
( ~ sQ386_spl
| sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12640,f14106]) ).
fof(f14118,plain,
( ~ sQ386_spl
| sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f14117]) ).
fof(f14250,plain,
( ~ sQ274_spl
| ~ sQ189_spl
| gt(succ(n4),n5) ),
inference(forward_demodulation,[status(thm)],[f5802,f9185]) ).
fof(f14251,plain,
( ~ sQ274_spl
| ~ sQ189_spl
| gt(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f11936,f14250]) ).
fof(f14252,plain,
( ~ sQ274_spl
| ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14251,f127]) ).
fof(f14253,plain,
( ~ sQ274_spl
| ~ sQ189_spl ),
inference(contradiction_clause,[status(thm)],[f14252]) ).
fof(f14272,plain,
( ~ sQ275_spl
| ~ sQ380_spl ),
inference(split_clause,[status(thm)],[f8787,f12354,f8068]) ).
fof(f14401,plain,
( ~ sQ277_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12088,f8820]) ).
fof(f14402,plain,
( ~ sQ277_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f14401]) ).
fof(f14429,plain,
( ~ sQ11_spl
| ~ gt(pv5,n588) ),
inference(resolution,[status(thm)],[f1230,f8766]) ).
fof(f14554,plain,
( sQ386_spl
| pv5 = n1000
| gt(pv5,n1000) ),
inference(resolution,[status(thm)],[f12641,f123]) ).
fof(f14555,definition,
( sQ396_spl
<=> gt(pv5,n1000) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f14556,plain,
( ~ sQ396_spl
| gt(pv5,n1000) ),
inference(component_clause,[status(thm)],[f14555]) ).
fof(f14558,plain,
( sQ386_spl
| sQ385_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f14554,f14555,f12636,f12639]) ).
fof(f14559,plain,
( sQ271_spl
| ~ sQ385_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12681,f3078]) ).
fof(f14560,plain,
( sQ271_spl
| ~ sQ385_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f14559]) ).
fof(f14561,plain,
( ~ sQ11_spl
| ~ sQ271_spl ),
inference(split_clause,[status(thm)],[f14429,f8053,f1229]) ).
fof(f14564,plain,
( ~ sQ271_spl
| ~ sQ381_spl ),
inference(split_clause,[status(thm)],[f8767,f12359,f8053]) ).
fof(f14686,plain,
( pred(n1000) = n6
| pred(n1000) = n5
| pred(n1000) = n4
| pred(n1000) = n3
| pred(n1000) = n2
| pred(n1000) = n1
| pred(n1000) = n0
| ~ leq(pred(n1000),n6) ),
inference(resolution,[status(thm)],[f2205,f352]) ).
fof(f14699,definition,
( sQ397_spl
<=> leq(pred(n1000),n6) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f14702,definition,
( sQ398_spl
<=> pred(n1000) = n6 ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f14705,plain,
( sQ398_spl
| sQ246_spl
| sQ245_spl
| sQ244_spl
| sQ243_spl
| sQ242_spl
| sQ241_spl
| ~ sQ397_spl ),
inference(split_clause,[status(thm)],[f14686,f14699,f7313,f7316,f7319,f7322,f7325,f7328,f14702]) ).
fof(f14939,plain,
( ~ sQ396_spl
| leq(n1000,pv5) ),
inference(resolution,[status(thm)],[f14556,f141]) ).
fof(f15720,plain,
( ~ leq(n0,n1)
| succ(n1) = n2
| succ(n1) = n1
| succ(n1) = n0
| ~ leq(n2,n2) ),
inference(paramodulation,[status(thm)],[f2149,f3841]) ).
fof(f15732,definition,
( sQ411_spl
<=> succ(n1) = n2 ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f15735,plain,
( ~ sQ14_spl
| sQ411_spl
| sQ372_spl
| sQ350_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f15720,f3939,f10968,f11480,f15732,f1245]) ).
fof(f15744,plain,
( sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3941,f128]) ).
fof(f15745,plain,
sQ125_spl,
inference(contradiction_clause,[status(thm)],[f15744]) ).
fof(f15940,plain,
! [X0] :
( ~ sQ314_spl
| ~ leq(n0,n1)
| uniform_int_rnd(X0,n1) = n2
| uniform_int_rnd(X0,n1) = n1
| uniform_int_rnd(X0,n1) = n0 ),
inference(resolution,[status(thm)],[f3840,f9549]) ).
fof(f15941,plain,
! [X0] :
( ~ leq(n0,n2)
| ~ leq(n0,n2)
| uniform_int_rnd(X0,n2) = n2
| uniform_int_rnd(X0,n2) = n1
| uniform_int_rnd(X0,n2) = n0 ),
inference(resolution,[status(thm)],[f3840,f157]) ).
fof(f15943,plain,
! [X0] :
( ~ sQ336_spl
| ~ leq(n0,n0)
| uniform_int_rnd(X0,n0) = n2
| uniform_int_rnd(X0,n0) = n1
| uniform_int_rnd(X0,n0) = n0
| ~ leq(n0,n2) ),
inference(paramodulation,[status(thm)],[f10752,f3840]) ).
fof(f15944,definition,
! [X0] :
( sQ415_spl
<=> ( uniform_int_rnd(X0,n1) = n2
| uniform_int_rnd(X0,n1) = n1
| uniform_int_rnd(X0,n1) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f15947,plain,
( ~ sQ314_spl
| ~ sQ14_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f15940,f15944,f1245,f9548]) ).
fof(f15948,definition,
! [X0] :
( sQ416_spl
<=> ( uniform_int_rnd(X0,n2) = n2
| uniform_int_rnd(X0,n2) = n1
| uniform_int_rnd(X0,n2) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f15951,plain,
( ~ sQ15_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f15941,f15948,f1248]) ).
fof(f15953,definition,
! [X0] :
( sQ417_spl
<=> ( uniform_int_rnd(X0,n0) = n2
| uniform_int_rnd(X0,n0) = n1
| uniform_int_rnd(X0,n0) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f15956,plain,
( ~ sQ336_spl
| ~ sQ13_spl
| sQ417_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f15943,f1248,f15953,f1242,f10751]) ).
fof(f16094,plain,
( ~ sQ396_spl
| ~ sQ11_spl
| leq(n1000,n588) ),
inference(resolution,[status(thm)],[f2176,f14939]) ).
fof(f16105,plain,
! [X0] :
( ~ sQ11_spl
| ~ leq(n0,pv5)
| leq(uniform_int_rnd(X0,pv5),n588) ),
inference(resolution,[status(thm)],[f2176,f157]) ).
fof(f16108,definition,
! [X0] :
( sQ419_spl
<=> leq(uniform_int_rnd(X0,pv5),n588) ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f16111,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f16105,f16108,f1225,f1229]) ).
fof(f16112,plain,
( ~ sQ396_spl
| ~ sQ11_spl
| ~ gt(n1000,n588) ),
inference(resolution,[status(thm)],[f16094,f8766]) ).
fof(f16116,plain,
( ~ sQ396_spl
| ~ sQ11_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16112,f3078]) ).
fof(f16117,plain,
( ~ sQ396_spl
| ~ sQ11_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f16116]) ).
fof(f16248,plain,
( ~ sQ24_spl
| ~ sQ242_spl
| leq(pv5,n1) ),
inference(forward_demodulation,[status(thm)],[f7317,f12077]) ).
fof(f16249,plain,
( ~ sQ24_spl
| ~ sQ242_spl
| sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16248,f3799]) ).
fof(f16250,plain,
( ~ sQ24_spl
| ~ sQ242_spl
| sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f16249]) ).
fof(f16252,plain,
( sQ62_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2070,f13283]) ).
fof(f16253,plain,
( sQ62_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f16252]) ).
fof(f16254,plain,
$false,
inference(sat_refutation,[status(thm)],[f1203,f1219,f1228,f1232,f1233,f1240,f1241,f1327,f1355,f1501,f1502,f1503,f1515,f1519,f1542,f1581,f1588,f1592,f1637,f1638,f1694,f1699,f1704,f1713,f1717,f1760,f1763,f1817,f1818,f1845,f1846,f1899,f1900,f1928,f1929,f1930,f1931,f1932,f1940,f1941,f1994,f1995,f2023,f2024,f2028,f2029,f2030,f2034,f2041,f2058,f2062,f2063,f2067,f2071,f2085,f2193,f2359,f2394,f2417,f2457,f2467,f2514,f2524,f2562,f2572,f2612,f2622,f2675,f2684,f2774,f2788,f2838,f2860,f2880,f2925,f2938,f2983,f2994,f3051,f3062,f3080,f3122,f3133,f3183,f3194,f3209,f3277,f3288,f3341,f3346,f3376,f3431,f3455,f3459,f3463,f3527,f3539,f3604,f3676,f3739,f3803,f3807,f3808,f3814,f3816,f3818,f3820,f3823,f3833,f3835,f3858,f3862,f3929,f3952,f4026,f4030,f4033,f4084,f4112,f4167,f4177,f4238,f4254,f4324,f4360,f4419,f4435,f4502,f4510,f4523,f4603,f4619,f4743,f4759,f4763,f4767,f4810,f4817,f4825,f4842,f4852,f4863,f4923,f4933,f4986,f5010,f5072,f5122,f5173,f5197,f5252,f5344,f5363,f5452,f5454,f5457,f5493,f5565,f5581,f5595,f5599,f5604,f5606,f5608,f5610,f5612,f5668,f5671,f5687,f5698,f5700,f5702,f5721,f5725,f5729,f5735,f5797,f5804,f5821,f5830,f5839,f5840,f5849,f5874,f5881,f5885,f5942,f5964,f5968,f5972,f5976,f5998,f6005,f6013,f6024,f6026,f6028,f6030,f6032,f6092,f6095,f6131,f6135,f6139,f6319,f6323,f6339,f6366,f6409,f6425,f6491,f6563,f6587,f6605,f6686,f6704,f6814,f6837,f6839,f6841,f6843,f6845,f6917,f6919,f6946,f6963,f6966,f7040,f7160,f7238,f7240,f7247,f7295,f7331,f7335,f7339,f7343,f7347,f7351,f7355,f7361,f7364,f7371,f7375,f7383,f7386,f7392,f7430,f7437,f7464,f7486,f7488,f7616,f7640,f7718,f7794,f7805,f7856,f7870,f7874,f7913,f7917,f7921,f8063,f8067,f8071,f8075,f8079,f8084,f8085,f8476,f8512,f8525,f8540,f8558,f8610,f8630,f8660,f8690,f8713,f9081,f9085,f9088,f9091,f9094,f9097,f9100,f9104,f9107,f9110,f9113,f9116,f9119,f9122,f9150,f9259,f9425,f9449,f9500,f9532,f9551,f9570,f9588,f9614,f9664,f9701,f9861,f9883,f9899,f9936,f9945,f9960,f9962,f9988,f10033,f10058,f10083,f10279,f10671,f10696,f10698,f10700,f10754,f10799,f10803,f10807,f10811,f10819,f10827,f10830,f10833,f10836,f10839,f10842,f10845,f10848,f10851,f10863,f10867,f10890,f10941,f10974,f11055,f11068,f11108,f11145,f11216,f11253,f11257,f11261,f11265,f11269,f11273,f11277,f11286,f11291,f11307,f11334,f11346,f11354,f11368,f11386,f11443,f11493,f11496,f11510,f11513,f11516,f11518,f11521,f11557,f11558,f11561,f11601,f11642,f12205,f12209,f12216,f12223,f12248,f12256,f12260,f12280,f12322,f12344,f12357,f12362,f12369,f12370,f12372,f12498,f12499,f12505,f12508,f12519,f12521,f12522,f12561,f12571,f12583,f12590,f12750,f12793,f12796,f12799,f12802,f12805,f12811,f12951,f12953,f12955,f12959,f13017,f13023,f13026,f13131,f13336,f13338,f13441,f13607,f13651,f13801,f13802,f13807,f14109,f14118,f14253,f14272,f14402,f14558,f14560,f14561,f14564,f14705,f15735,f15745,f15947,f15951,f15956,f16111,f16117,f16250,f16253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV125+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:37:10 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.41 % Drodi V4.1.1
% 81.78/11.54 % Refutation found
% 81.78/11.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 81.78/11.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 39.08/11.62 % Elapsed time: 11.250646 seconds
% 39.08/11.62 % CPU time: 88.102777 seconds
% 39.08/11.62 % Total memory used: 422.608 MB
% 39.08/11.62 % Net memory used: 370.454 MB
%------------------------------------------------------------------------------