%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV036+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 : n012.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 02:46:29 PM UTC 2026
% Result : Theorem 159.98s 20.57s
% Output : CNFRefutation 18.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 653
% Syntax : Number of formulae : 3003 ( 325 unt; 595 def)
% Number of atoms : 9131 (2060 equ)
% Maximal formula atoms : 140 ( 3 avg)
% Number of connectives : 10217 (4089 ~;4810 |; 640 &)
% ( 600 <=>; 78 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 599 ( 597 usr; 584 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 35 con; 0-3 aty)
% Number of variables : 1027 ( 962 !; 65 ?)
% 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(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(f31,axiom,
! [X] : plus(X,n2) = succ(succ(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X] : plus(n2,X) = succ(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(f36,axiom,
! [X] : plus(n4,X) = succ(succ(succ(succ(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(f42,axiom,
! [X,Y] :
( leq(succ(X),succ(Y))
<=> leq(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X,Y] :
( leq(succ(X),Y)
=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [D] :
( ( leq(D,n2)
& leq(n0,D) )
=> a_select2(s_center7_init,D) = init )
& ! [C] :
( ( leq(C,n3)
& leq(n0,C) )
=> a_select2(s_values7_init,C) = init )
& ! [A] :
( ( leq(A,n2)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n3)
& leq(n0,B) )
=> a_select3(simplex7_init,B,A) = init ) )
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n2,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init )
=> ( ( gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [T] :
( ( leq(T,n2)
& leq(n0,T) )
=> a_select2(s_center7_init,T) = init )
& ! [S] :
( ( leq(S,n3)
& leq(n0,S) )
=> a_select2(s_values7_init,S) = init )
& ! [Q] :
( ( leq(Q,n2)
& leq(n0,Q) )
=> ! [R] :
( ( leq(R,n3)
& leq(n0,R) )
=> a_select3(simplex7_init,R,Q) = init ) )
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(n0,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& s_worst7_init = init
& s_sworst7_init = init
& init = init ) )
& ( ~ gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7))
=> ( ( leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [P] :
( ( leq(P,n2)
& leq(n0,P) )
=> a_select2(s_center7_init,P) = init )
& ! [O] :
( ( leq(O,n3)
& leq(n0,O) )
=> a_select2(s_values7_init,O) = init )
& ! [M] :
( ( leq(M,n2)
& leq(n0,M) )
=> ! [N] :
( ( leq(N,n3)
& leq(n0,N) )
=> a_select3(simplex7_init,N,M) = init ) )
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_best7_init = init
& init = init ) )
& ( ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7))
=> ( ( leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [L] :
( ( leq(L,n2)
& leq(n0,L) )
=> a_select2(s_center7_init,L) = init )
& ! [K] :
( ( leq(K,n3)
& leq(n0,K) )
=> a_select2(s_values7_init,K) = init )
& ! [I] :
( ( leq(I,n2)
& leq(n0,I) )
=> ! [J] :
( ( leq(J,n3)
& leq(n0,J) )
=> a_select3(simplex7_init,J,I) = init ) )
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_best7_init = init
& init = init ) )
& ( ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [H] :
( ( leq(H,n2)
& leq(n0,H) )
=> a_select2(s_center7_init,H) = init )
& ! [G] :
( ( leq(G,n3)
& leq(n0,G) )
=> a_select2(s_values7_init,G) = init )
& ! [E] :
( ( leq(E,n2)
& leq(n0,E) )
=> ! [F] :
( ( leq(F,n3)
& leq(n0,F) )
=> a_select3(simplex7_init,F,E) = init ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init ) )
& a_select2(s_values7_init,pv1388) = init
& a_select2(s_values7_init,s_sworst7) = init
& s_sworst7_init = init
& init = init ) )
& a_select2(s_values7_init,pv1388) = init
& a_select2(s_values7_init,s_worst7) = init
& s_worst7_init = init
& init = init ) )
& a_select2(s_values7_init,pv1388) = init
& a_select2(s_values7_init,s_best7) = init
& s_best7_init = init
& init = init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [D] :
( ( leq(D,n2)
& leq(n0,D) )
=> a_select2(s_center7_init,D) = init )
& ! [C] :
( ( leq(C,n3)
& leq(n0,C) )
=> a_select2(s_values7_init,C) = init )
& ! [A] :
( ( leq(A,n2)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n3)
& leq(n0,B) )
=> a_select3(simplex7_init,B,A) = init ) )
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n2,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init )
=> ( ( gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [T] :
( ( leq(T,n2)
& leq(n0,T) )
=> a_select2(s_center7_init,T) = init )
& ! [S] :
( ( leq(S,n3)
& leq(n0,S) )
=> a_select2(s_values7_init,S) = init )
& ! [Q] :
( ( leq(Q,n2)
& leq(n0,Q) )
=> ! [R] :
( ( leq(R,n3)
& leq(n0,R) )
=> a_select3(simplex7_init,R,Q) = init ) )
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(n0,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& s_worst7_init = init
& s_sworst7_init = init
& init = init ) )
& ( ~ gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7))
=> ( ( leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [P] :
( ( leq(P,n2)
& leq(n0,P) )
=> a_select2(s_center7_init,P) = init )
& ! [O] :
( ( leq(O,n3)
& leq(n0,O) )
=> a_select2(s_values7_init,O) = init )
& ! [M] :
( ( leq(M,n2)
& leq(n0,M) )
=> ! [N] :
( ( leq(N,n3)
& leq(n0,N) )
=> a_select3(simplex7_init,N,M) = init ) )
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_best7_init = init
& init = init ) )
& ( ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7))
=> ( ( leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [L] :
( ( leq(L,n2)
& leq(n0,L) )
=> a_select2(s_center7_init,L) = init )
& ! [K] :
( ( leq(K,n3)
& leq(n0,K) )
=> a_select2(s_values7_init,K) = init )
& ! [I] :
( ( leq(I,n2)
& leq(n0,I) )
=> ! [J] :
( ( leq(J,n3)
& leq(n0,J) )
=> a_select3(simplex7_init,J,I) = init ) )
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_best7_init = init
& init = init ) )
& ( ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [H] :
( ( leq(H,n2)
& leq(n0,H) )
=> a_select2(s_center7_init,H) = init )
& ! [G] :
( ( leq(G,n3)
& leq(n0,G) )
=> a_select2(s_values7_init,G) = init )
& ! [E] :
( ( leq(E,n2)
& leq(n0,E) )
=> ! [F] :
( ( leq(F,n3)
& leq(n0,F) )
=> a_select3(simplex7_init,F,E) = init ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init ) )
& a_select2(s_values7_init,pv1388) = init
& a_select2(s_values7_init,s_sworst7) = init
& s_sworst7_init = init
& init = init ) )
& a_select2(s_values7_init,pv1388) = init
& a_select2(s_values7_init,s_worst7) = init
& s_worst7_init = init
& init = init ) )
& a_select2(s_values7_init,pv1388) = init
& a_select2(s_values7_init,s_best7) = init
& s_best7_init = init
& init = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,axiom,
gt(n3,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
gt(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,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(f77,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(f78,axiom,
! [X] :
( ( leq(X,n0)
& leq(n0,X) )
=> X = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,axiom,
! [X] :
( ( leq(X,n1)
& leq(n0,X) )
=> ( X = n1
| X = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [X] :
( ( leq(X,n2)
& leq(n0,X) )
=> ( X = n2
| X = n1
| X = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,axiom,
! [X] :
( ( leq(X,n3)
& leq(n0,X) )
=> ( X = n3
| X = n2
| X = n1
| X = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f88,plain,
! [X,Y,Z] :
( gt(X,Z)
| ~ gt(Y,Z)
| ~ gt(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f89,plain,
! [X,Z] :
( gt(X,Z)
| ! [Y] :
( ~ gt(Y,Z)
| ~ gt(X,Y) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f90,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f93,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f94,plain,
! [X,Z] :
( leq(X,Z)
| ! [Y] :
( ~ leq(Y,Z)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f104,plain,
! [X,Y] :
( leq(X,Y)
| ~ gt(Y,X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f105,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
! [X,Y] :
( gt(Y,X)
| X = Y
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f107,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f108,plain,
! [X,Y] :
( ( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f109,plain,
( ! [X,Y] :
( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ! [X,Y] :
( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f112,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f113,plain,
! [X,Y] :
( leq(X,succ(Y))
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f114,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [X,Y] :
( ( ~ gt(succ(Y),X)
| leq(X,Y) )
& ( gt(succ(Y),X)
| ~ leq(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f116,plain,
( ! [X,Y] :
( ~ gt(succ(Y),X)
| leq(X,Y) )
& ! [X,Y] :
( gt(succ(Y),X)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( ~ gt(succ(X1),X0)
| leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f119,plain,
! [X,C] :
( leq(uniform_int_rnd(C,X),X)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f120,plain,
! [X] :
( ! [C] : leq(uniform_int_rnd(C,X),X)
| ~ leq(n0,X) ),
inference(miniscoping,[status(thm)],[f119]) ).
fof(f121,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f122,plain,
! [X,C] :
( leq(n0,uniform_int_rnd(C,X))
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f123,plain,
! [X] :
( ! [C] : leq(n0,uniform_int_rnd(C,X))
| ~ leq(n0,X) ),
inference(miniscoping,[status(thm)],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f199,plain,
succ(tptp_minus_1) = n0,
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f200,plain,
! [X0] : plus(X0,n1) = succ(X0),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f201,plain,
! [X0] : plus(n1,X0) = succ(X0),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f202,plain,
! [X0] : plus(X0,n2) = succ(succ(X0)),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f203,plain,
! [X0] : plus(n2,X0) = succ(succ(X0)),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f204,plain,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f205,plain,
! [X0] : plus(n3,X0) = succ(succ(succ(X0))),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f207,plain,
! [X0] : plus(n4,X0) = succ(succ(succ(succ(X0)))),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f211,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f212,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f213,plain,
! [X,Y] :
( ( ~ leq(X,Y)
| leq(succ(X),succ(Y)) )
& ( leq(X,Y)
| ~ leq(succ(X),succ(Y)) ) ),
inference(NNF_transformation,[status(thm)],[f42]) ).
fof(f214,plain,
( ! [X,Y] :
( ~ leq(X,Y)
| leq(succ(X),succ(Y)) )
& ! [X,Y] :
( leq(X,Y)
| ~ leq(succ(X),succ(Y)) ) ),
inference(miniscoping,[status(thm)],[f213]) ).
fof(f215,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f217,plain,
! [X,Y] :
( gt(Y,X)
| ~ leq(succ(X),Y) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f218,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f244,plain,
( ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [T] :
( a_select2(s_center7_init,T) != init
& leq(T,n2)
& leq(n0,T) )
| ? [S] :
( a_select2(s_values7_init,S) != init
& leq(S,n3)
& leq(n0,S) )
| ? [Q] :
( ? [R] :
( a_select3(simplex7_init,R,Q) != init
& leq(R,n3)
& leq(n0,R) )
& leq(Q,n2)
& leq(n0,Q) )
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| s_worst7_init != init
| s_sworst7_init != init
| init != init )
& gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7)) )
| ( ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [P] :
( a_select2(s_center7_init,P) != init
& leq(P,n2)
& leq(n0,P) )
| ? [O] :
( a_select2(s_values7_init,O) != init
& leq(O,n3)
& leq(n0,O) )
| ? [M] :
( ? [N] :
( a_select3(simplex7_init,N,M) != init
& leq(N,n3)
& leq(n0,N) )
& leq(M,n2)
& leq(n0,M) )
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init )
& leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
| ( ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [L] :
( a_select2(s_center7_init,L) != init
& leq(L,n2)
& leq(n0,L) )
| ? [K] :
( a_select2(s_values7_init,K) != init
& leq(K,n3)
& leq(n0,K) )
| ? [I] :
( ? [J] :
( a_select3(simplex7_init,J,I) != init
& leq(J,n3)
& leq(n0,J) )
& leq(I,n2)
& leq(n0,I) )
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init )
& leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) )
| ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [H] :
( a_select2(s_center7_init,H) != init
& leq(H,n2)
& leq(n0,H) )
| ? [G] :
( a_select2(s_values7_init,G) != init
& leq(G,n3)
& leq(n0,G) )
| ? [E] :
( ? [F] :
( a_select3(simplex7_init,F,E) != init
& leq(F,n3)
& leq(n0,F) )
& leq(E,n2)
& leq(n0,E) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init )
& ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) )
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_sworst7) != init
| s_sworst7_init != init
| init != init )
& ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_worst7) != init
| s_worst7_init != init
| init != init )
& ~ gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7)) )
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_best7) != init
| s_best7_init != init
| init != init )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [D] :
( a_select2(s_center7_init,D) = init
| ~ leq(D,n2)
| ~ leq(n0,D) )
& ! [C] :
( a_select2(s_values7_init,C) = init
| ~ leq(C,n3)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(simplex7_init,B,A) = init
| ~ leq(B,n3)
| ~ leq(n0,B) )
| ~ leq(A,n2)
| ~ leq(n0,A) )
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n2,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f245,definition,
( sP3_prd
<=> ( ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [P] :
( a_select2(s_center7_init,P) != init
& leq(P,n2)
& leq(n0,P) )
| ? [O] :
( a_select2(s_values7_init,O) != init
& leq(O,n3)
& leq(n0,O) )
| ? [M] :
( ? [N] :
( a_select3(simplex7_init,N,M) != init
& leq(N,n3)
& leq(n0,N) )
& leq(M,n2)
& leq(n0,M) )
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init )
& leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
| ( ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [L] :
( a_select2(s_center7_init,L) != init
& leq(L,n2)
& leq(n0,L) )
| ? [K] :
( a_select2(s_values7_init,K) != init
& leq(K,n3)
& leq(n0,K) )
| ? [I] :
( ? [J] :
( a_select3(simplex7_init,J,I) != init
& leq(J,n3)
& leq(n0,J) )
& leq(I,n2)
& leq(n0,I) )
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init )
& leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) )
| ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [H] :
( a_select2(s_center7_init,H) != init
& leq(H,n2)
& leq(n0,H) )
| ? [G] :
( a_select2(s_values7_init,G) != init
& leq(G,n3)
& leq(n0,G) )
| ? [E] :
( ? [F] :
( a_select3(simplex7_init,F,E) != init
& leq(F,n3)
& leq(n0,F) )
& leq(E,n2)
& leq(n0,E) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init )
& ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) )
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_sworst7) != init
| s_sworst7_init != init
| init != init )
& ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_worst7) != init
| s_worst7_init != init
| init != init )
& ~ gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7)) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f246,definition,
! [Q] :
( sP4_prd(Q)
<=> ( ? [R] :
( a_select3(simplex7_init,R,Q) != init
& leq(R,n3)
& leq(n0,R) )
& leq(Q,n2)
& leq(n0,Q) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f247,definition,
! [S] :
( sP5_prd(S)
<=> ( a_select2(s_values7_init,S) != init
& leq(S,n3)
& leq(n0,S) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f248,definition,
! [T] :
( sP6_prd(T)
<=> ( a_select2(s_center7_init,T) != init
& leq(T,n2)
& leq(n0,T) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f249,plain,
( ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [T] : sP6_prd(T)
| ? [S] : sP5_prd(S)
| ? [Q] : sP4_prd(Q)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| s_worst7_init != init
| s_sworst7_init != init
| init != init )
& gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7)) )
| sP3_prd
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_best7) != init
| s_best7_init != init
| init != init )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [D] :
( a_select2(s_center7_init,D) = init
| ~ leq(D,n2)
| ~ leq(n0,D) )
& ! [C] :
( a_select2(s_values7_init,C) = init
| ~ leq(C,n3)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(simplex7_init,B,A) = init
| ~ leq(B,n3)
| ~ leq(n0,B) )
| ~ leq(A,n2)
| ~ leq(n0,A) )
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n2,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init ),
inference(formula_renaming,[status(thm)],[f244,f248,f247,f246,f245]) ).
fof(f250,plain,
( ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| sP6_prd(sK25_skl)
| sP5_prd(sK24_skl)
| sP4_prd(sK23_skl)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| s_worst7_init != init
| s_sworst7_init != init
| init != init )
& gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7)) )
| sP3_prd
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_best7) != init
| s_best7_init != init
| init != init )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [D] :
( a_select2(s_center7_init,D) = init
| ~ leq(D,n2)
| ~ leq(n0,D) )
& ! [C] :
( a_select2(s_values7_init,C) = init
| ~ leq(C,n3)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(simplex7_init,B,A) = init
| ~ leq(B,n3)
| ~ leq(n0,B) )
| ~ leq(A,n2)
| ~ leq(n0,A) )
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n2,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl,sK25_skl]),skolemize(Q,sK23_skl),skolemize(S,sK24_skl),skolemize(T,sK25_skl)],[f249]) ).
fof(f251,plain,
s_best7_init = init,
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f252,plain,
s_sworst7_init = init,
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f253,plain,
s_worst7_init = init,
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f254,plain,
leq(n0,s_best7),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f255,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f256,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f257,plain,
leq(n2,pv1388),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f258,plain,
leq(s_best7,n3),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f259,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f260,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f261,plain,
leq(pv1388,n3),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f262,plain,
! [X0,X1] :
( a_select3(simplex7_init,X1,X0) = init
| ~ leq(X1,n3)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f263,plain,
! [X0] :
( a_select2(s_values7_init,X0) = init
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f264,plain,
! [X0] :
( a_select2(s_center7_init,X0) = init
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f265,plain,
( pvar1400_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f266,plain,
( pvar1401_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f267,plain,
( pvar1402_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f268,plain,
( gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7))
| sP3_prd
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_best7) != init
| s_best7_init != init
| init != init ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f269,plain,
( gt(loopcounter,n1)
| sP6_prd(sK25_skl)
| sP5_prd(sK24_skl)
| sP4_prd(sK23_skl)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| s_worst7_init != init
| s_sworst7_init != init
| init != init
| sP3_prd
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_best7) != init
| s_best7_init != init
| init != init ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f270,plain,
( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| sP6_prd(sK25_skl)
| sP5_prd(sK24_skl)
| sP4_prd(sK23_skl)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| s_worst7_init != init
| s_sworst7_init != init
| init != init
| sP3_prd
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_best7) != init
| s_best7_init != init
| init != init ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f271,plain,
gt(n5,n4),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f272,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f273,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f274,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f275,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f276,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f277,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f278,plain,
gt(n4,n0),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f279,plain,
gt(n5,n0),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f280,plain,
gt(n1,n0),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f281,plain,
gt(n2,n0),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f282,plain,
gt(n3,n0),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f283,plain,
gt(n4,n1),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f284,plain,
gt(n5,n1),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f285,plain,
gt(n2,n1),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f286,plain,
gt(n3,n1),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f287,plain,
gt(n4,n2),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f288,plain,
gt(n5,n2),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f289,plain,
gt(n3,n2),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f290,plain,
gt(n4,n3),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f291,plain,
gt(n5,n3),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f292,plain,
! [X] :
( X = n4
| X = n3
| X = n2
| X = n1
| X = n0
| ~ leq(X,n4)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f76]) ).
fof(f293,plain,
! [X0] :
( X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f294,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)],[f77]) ).
fof(f295,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)],[f294]) ).
fof(f296,plain,
! [X] :
( X = n0
| ~ leq(X,n0)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f78]) ).
fof(f297,plain,
! [X0] :
( X0 = n0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f298,plain,
! [X] :
( X = n1
| X = n0
| ~ leq(X,n1)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f79]) ).
fof(f299,plain,
! [X0] :
( X0 = n1
| X0 = n0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f298]) ).
fof(f300,plain,
! [X] :
( X = n2
| X = n1
| X = n0
| ~ leq(X,n2)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f80]) ).
fof(f301,plain,
! [X0] :
( X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f302,plain,
! [X] :
( X = n3
| X = n2
| X = n1
| X = n0
| ~ leq(X,n3)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f81]) ).
fof(f303,plain,
! [X0] :
( X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f302]) ).
fof(f304,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f305,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f306,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f307,plain,
succ(succ(n0)) = n2,
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f308,plain,
succ(succ(succ(n0))) = n3,
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f337,definition,
( sP8_prd
<=> ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [H] :
( a_select2(s_center7_init,H) != init
& leq(H,n2)
& leq(n0,H) )
| ? [G] :
( a_select2(s_values7_init,G) != init
& leq(G,n3)
& leq(n0,G) )
| ? [E] :
( ? [F] :
( a_select3(simplex7_init,F,E) != init
& leq(F,n3)
& leq(n0,F) )
& leq(E,n2)
& leq(n0,E) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init )
& ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f338,definition,
! [I] :
( sP9_prd(I)
<=> ( ? [J] :
( a_select3(simplex7_init,J,I) != init
& leq(J,n3)
& leq(n0,J) )
& leq(I,n2)
& leq(n0,I) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f339,definition,
! [K] :
( sP10_prd(K)
<=> ( a_select2(s_values7_init,K) != init
& leq(K,n3)
& leq(n0,K) ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f340,definition,
! [L] :
( sP11_prd(L)
<=> ( a_select2(s_center7_init,L) != init
& leq(L,n2)
& leq(n0,L) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f341,definition,
! [M] :
( sP12_prd(M)
<=> ( ? [N] :
( a_select3(simplex7_init,N,M) != init
& leq(N,n3)
& leq(n0,N) )
& leq(M,n2)
& leq(n0,M) ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f342,definition,
! [O] :
( sP13_prd(O)
<=> ( a_select2(s_values7_init,O) != init
& leq(O,n3)
& leq(n0,O) ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f343,definition,
! [P] :
( sP14_prd(P)
<=> ( a_select2(s_center7_init,P) != init
& leq(P,n2)
& leq(n0,P) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f344,plain,
( sP3_prd
<=> ( ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [P] : sP14_prd(P)
| ? [O] : sP13_prd(O)
| ? [M] : sP12_prd(M)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init )
& leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
| ( ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [L] : sP11_prd(L)
| ? [K] : sP10_prd(K)
| ? [I] : sP9_prd(I)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init )
& leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) )
| sP8_prd
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_sworst7) != init
| s_sworst7_init != init
| init != init )
& ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_worst7) != init
| s_worst7_init != init
| init != init )
& ~ gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7)) ) ),
inference(formula_renaming,[status(thm)],[f245,f343,f342,f341,f340,f339,f338,f337]) ).
fof(f345,plain,
( ( ( ( ( ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [P] : ~ sP14_prd(P)
& ! [O] : ~ sP13_prd(O)
& ! [M] : ~ sP12_prd(M)
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_best7_init = init
& init = init )
| ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
& ( ( ( ( ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [L] : ~ sP11_prd(L)
& ! [K] : ~ sP10_prd(K)
& ! [I] : ~ sP9_prd(I)
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_best7_init = init
& init = init )
| ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) )
& ~ sP8_prd
& a_select2(s_values7_init,pv1388) = init
& a_select2(s_values7_init,s_sworst7) = init
& s_sworst7_init = init
& init = init )
| leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
& a_select2(s_values7_init,pv1388) = init
& a_select2(s_values7_init,s_worst7) = init
& s_worst7_init = init
& init = init )
| gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7))
| sP3_prd )
& ( ( ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [P] : sP14_prd(P)
| ? [O] : sP13_prd(O)
| ? [M] : sP12_prd(M)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init )
& leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
| ( ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [L] : sP11_prd(L)
| ? [K] : sP10_prd(K)
| ? [I] : sP9_prd(I)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init )
& leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) )
| sP8_prd
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_sworst7) != init
| s_sworst7_init != init
| init != init )
& ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_worst7) != init
| s_worst7_init != init
| init != init )
& ~ gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7)) )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f344]) ).
fof(f346,plain,
( ( ( ( ( ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [P] : ~ sP14_prd(P)
& ! [O] : ~ sP13_prd(O)
& ! [M] : ~ sP12_prd(M)
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_best7_init = init
& init = init )
| ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
& ( ( ( ( ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [L] : ~ sP11_prd(L)
& ! [K] : ~ sP10_prd(K)
& ! [I] : ~ sP9_prd(I)
& leq(pv1388,n3)
& leq(s_worst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1388)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_best7_init = init
& init = init )
| ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) )
& ~ sP8_prd
& a_select2(s_values7_init,pv1388) = init
& a_select2(s_values7_init,s_sworst7) = init
& s_sworst7_init = init
& init = init )
| leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
& a_select2(s_values7_init,pv1388) = init
& a_select2(s_values7_init,s_worst7) = init
& s_worst7_init = init
& init = init )
| gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7))
| sP3_prd )
& ( ( ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| sP14_prd(sK35_skl)
| sP13_prd(sK34_skl)
| sP12_prd(sK33_skl)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init )
& leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
| ( ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| sP11_prd(sK32_skl)
| sP10_prd(sK31_skl)
| sP9_prd(sK30_skl)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init )
& leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) )
| sP8_prd
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_sworst7) != init
| s_sworst7_init != init
| init != init )
& ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) )
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_worst7) != init
| s_worst7_init != init
| init != init )
& ~ gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7)) )
| ~ sP3_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30_skl,sK31_skl,sK32_skl,sK33_skl,sK34_skl,sK35_skl]),skolemize(I,sK30_skl),skolemize(K,sK31_skl),skolemize(L,sK32_skl),skolemize(M,sK33_skl),skolemize(O,sK34_skl),skolemize(P,sK35_skl)],[f345]) ).
fof(f347,plain,
( ~ gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7))
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f349,plain,
( gt(loopcounter,n1)
| sP14_prd(sK35_skl)
| sP13_prd(sK34_skl)
| sP12_prd(sK33_skl)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init
| ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7))
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_worst7) != init
| s_worst7_init != init
| init != init
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f350,plain,
( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| sP14_prd(sK35_skl)
| sP13_prd(sK34_skl)
| sP12_prd(sK33_skl)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init
| ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7))
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_worst7) != init
| s_worst7_init != init
| init != init
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f354,plain,
( leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7))
| gt(loopcounter,n1)
| sP11_prd(sK32_skl)
| sP10_prd(sK31_skl)
| sP9_prd(sK30_skl)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init
| sP8_prd
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_sworst7) != init
| s_sworst7_init != init
| init != init
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_worst7) != init
| s_worst7_init != init
| init != init
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f355,plain,
( gt(loopcounter,n1)
| sP14_prd(sK35_skl)
| sP13_prd(sK34_skl)
| sP12_prd(sK33_skl)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init
| gt(loopcounter,n1)
| sP11_prd(sK32_skl)
| sP10_prd(sK31_skl)
| sP9_prd(sK30_skl)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init
| sP8_prd
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_sworst7) != init
| s_sworst7_init != init
| init != init
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_worst7) != init
| s_worst7_init != init
| init != init
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f357,plain,
( leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7))
| pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| sP11_prd(sK32_skl)
| sP10_prd(sK31_skl)
| sP9_prd(sK30_skl)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init
| sP8_prd
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_sworst7) != init
| s_sworst7_init != init
| init != init
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_worst7) != init
| s_worst7_init != init
| init != init
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f359,plain,
( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| sP14_prd(sK35_skl)
| sP13_prd(sK34_skl)
| sP12_prd(sK33_skl)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init
| pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| sP11_prd(sK32_skl)
| sP10_prd(sK31_skl)
| sP9_prd(sK30_skl)
| ~ leq(pv1388,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1388)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_best7_init != init
| init != init
| sP8_prd
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_sworst7) != init
| s_sworst7_init != init
| init != init
| a_select2(s_values7_init,pv1388) != init
| a_select2(s_values7_init,s_worst7) != init
| s_worst7_init != init
| init != init
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f399,plain,
! [Q] :
( ( ! [R] :
( a_select3(simplex7_init,R,Q) = init
| ~ leq(R,n3)
| ~ leq(n0,R) )
| ~ leq(Q,n2)
| ~ leq(n0,Q)
| sP4_prd(Q) )
& ( ( ? [R] :
( a_select3(simplex7_init,R,Q) != init
& leq(R,n3)
& leq(n0,R) )
& leq(Q,n2)
& leq(n0,Q) )
| ~ sP4_prd(Q) ) ),
inference(NNF_transformation,[status(thm)],[f246]) ).
fof(f400,plain,
( ! [Q] :
( ! [R] :
( a_select3(simplex7_init,R,Q) = init
| ~ leq(R,n3)
| ~ leq(n0,R) )
| ~ leq(Q,n2)
| ~ leq(n0,Q)
| sP4_prd(Q) )
& ! [Q] :
( ( ? [R] :
( a_select3(simplex7_init,R,Q) != init
& leq(R,n3)
& leq(n0,R) )
& leq(Q,n2)
& leq(n0,Q) )
| ~ sP4_prd(Q) ) ),
inference(miniscoping,[status(thm)],[f399]) ).
fof(f401,plain,
( ! [Q] :
( ! [R] :
( a_select3(simplex7_init,R,Q) = init
| ~ leq(R,n3)
| ~ leq(n0,R) )
| ~ leq(Q,n2)
| ~ leq(n0,Q)
| sP4_prd(Q) )
& ! [Q] :
( ( a_select3(simplex7_init,sK36_skl(Q),Q) != init
& leq(sK36_skl(Q),n3)
& leq(n0,sK36_skl(Q))
& leq(Q,n2)
& leq(n0,Q) )
| ~ sP4_prd(Q) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36_skl]),skolemize(R,sK36_skl(Q))],[f400]) ).
fof(f402,plain,
! [X0] :
( leq(n0,X0)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f403,plain,
! [X0] :
( leq(X0,n2)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f404,plain,
! [X0] :
( leq(n0,sK36_skl(X0))
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f405,plain,
! [X0] :
( leq(sK36_skl(X0),n3)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f406,plain,
! [X0] :
( a_select3(simplex7_init,sK36_skl(X0),X0) != init
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f408,plain,
! [S] :
( ( a_select2(s_values7_init,S) = init
| ~ leq(S,n3)
| ~ leq(n0,S)
| sP5_prd(S) )
& ( ( a_select2(s_values7_init,S) != init
& leq(S,n3)
& leq(n0,S) )
| ~ sP5_prd(S) ) ),
inference(NNF_transformation,[status(thm)],[f247]) ).
fof(f409,plain,
( ! [S] :
( a_select2(s_values7_init,S) = init
| ~ leq(S,n3)
| ~ leq(n0,S)
| sP5_prd(S) )
& ! [S] :
( ( a_select2(s_values7_init,S) != init
& leq(S,n3)
& leq(n0,S) )
| ~ sP5_prd(S) ) ),
inference(miniscoping,[status(thm)],[f408]) ).
fof(f410,plain,
! [X0] :
( leq(n0,X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f409]) ).
fof(f411,plain,
! [X0] :
( leq(X0,n3)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f409]) ).
fof(f412,plain,
! [X0] :
( a_select2(s_values7_init,X0) != init
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f409]) ).
fof(f414,plain,
! [T] :
( ( a_select2(s_center7_init,T) = init
| ~ leq(T,n2)
| ~ leq(n0,T)
| sP6_prd(T) )
& ( ( a_select2(s_center7_init,T) != init
& leq(T,n2)
& leq(n0,T) )
| ~ sP6_prd(T) ) ),
inference(NNF_transformation,[status(thm)],[f248]) ).
fof(f415,plain,
( ! [T] :
( a_select2(s_center7_init,T) = init
| ~ leq(T,n2)
| ~ leq(n0,T)
| sP6_prd(T) )
& ! [T] :
( ( a_select2(s_center7_init,T) != init
& leq(T,n2)
& leq(n0,T) )
| ~ sP6_prd(T) ) ),
inference(miniscoping,[status(thm)],[f414]) ).
fof(f416,plain,
! [X0] :
( leq(n0,X0)
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f417,plain,
! [X0] :
( leq(X0,n2)
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f418,plain,
! [X0] :
( a_select2(s_center7_init,X0) != init
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f428,definition,
! [E] :
( sP15_prd(E)
<=> ( ? [F] :
( a_select3(simplex7_init,F,E) != init
& leq(F,n3)
& leq(n0,F) )
& leq(E,n2)
& leq(n0,E) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f429,definition,
! [G] :
( sP16_prd(G)
<=> ( a_select2(s_values7_init,G) != init
& leq(G,n3)
& leq(n0,G) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f430,definition,
! [H] :
( sP17_prd(H)
<=> ( a_select2(s_center7_init,H) != init
& leq(H,n2)
& leq(n0,H) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f431,plain,
( sP8_prd
<=> ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [H] : sP17_prd(H)
| ? [G] : sP16_prd(G)
| ? [E] : sP15_prd(E)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init )
& ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) ) ),
inference(formula_renaming,[status(thm)],[f337,f430,f429,f428]) ).
fof(f432,plain,
( ( ( ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [H] : ~ sP17_prd(H)
& ! [G] : ~ sP16_prd(G)
& ! [E] : ~ sP15_prd(E)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init )
| leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7))
| sP8_prd )
& ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [H] : sP17_prd(H)
| ? [G] : sP16_prd(G)
| ? [E] : sP15_prd(E)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init )
& ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f431]) ).
fof(f433,plain,
( ( ( ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [H] : ~ sP17_prd(H)
& ! [G] : ~ sP16_prd(G)
& ! [E] : ~ sP15_prd(E)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init )
| leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7))
| sP8_prd )
& ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| sP17_prd(sK39_skl)
| sP16_prd(sK38_skl)
| sP15_prd(sK37_skl)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init )
& ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) )
| ~ sP8_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37_skl,sK38_skl,sK39_skl]),skolemize(E,sK37_skl),skolemize(G,sK38_skl),skolemize(H,sK39_skl)],[f432]) ).
fof(f434,plain,
( ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7))
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f433]) ).
fof(f435,plain,
( gt(loopcounter,n1)
| sP17_prd(sK39_skl)
| sP16_prd(sK38_skl)
| sP15_prd(sK37_skl)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f433]) ).
fof(f436,plain,
( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| sP17_prd(sK39_skl)
| sP16_prd(sK38_skl)
| sP15_prd(sK37_skl)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f433]) ).
fof(f452,plain,
! [I] :
( ( ! [J] :
( a_select3(simplex7_init,J,I) = init
| ~ leq(J,n3)
| ~ leq(n0,J) )
| ~ leq(I,n2)
| ~ leq(n0,I)
| sP9_prd(I) )
& ( ( ? [J] :
( a_select3(simplex7_init,J,I) != init
& leq(J,n3)
& leq(n0,J) )
& leq(I,n2)
& leq(n0,I) )
| ~ sP9_prd(I) ) ),
inference(NNF_transformation,[status(thm)],[f338]) ).
fof(f453,plain,
( ! [I] :
( ! [J] :
( a_select3(simplex7_init,J,I) = init
| ~ leq(J,n3)
| ~ leq(n0,J) )
| ~ leq(I,n2)
| ~ leq(n0,I)
| sP9_prd(I) )
& ! [I] :
( ( ? [J] :
( a_select3(simplex7_init,J,I) != init
& leq(J,n3)
& leq(n0,J) )
& leq(I,n2)
& leq(n0,I) )
| ~ sP9_prd(I) ) ),
inference(miniscoping,[status(thm)],[f452]) ).
fof(f454,plain,
( ! [I] :
( ! [J] :
( a_select3(simplex7_init,J,I) = init
| ~ leq(J,n3)
| ~ leq(n0,J) )
| ~ leq(I,n2)
| ~ leq(n0,I)
| sP9_prd(I) )
& ! [I] :
( ( a_select3(simplex7_init,sK40_skl(I),I) != init
& leq(sK40_skl(I),n3)
& leq(n0,sK40_skl(I))
& leq(I,n2)
& leq(n0,I) )
| ~ sP9_prd(I) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40_skl]),skolemize(J,sK40_skl(I))],[f453]) ).
fof(f455,plain,
! [X0] :
( leq(n0,X0)
| ~ sP9_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f454]) ).
fof(f456,plain,
! [X0] :
( leq(X0,n2)
| ~ sP9_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f454]) ).
fof(f457,plain,
! [X0] :
( leq(n0,sK40_skl(X0))
| ~ sP9_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f454]) ).
fof(f458,plain,
! [X0] :
( leq(sK40_skl(X0),n3)
| ~ sP9_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f454]) ).
fof(f459,plain,
! [X0] :
( a_select3(simplex7_init,sK40_skl(X0),X0) != init
| ~ sP9_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f454]) ).
fof(f461,plain,
! [K] :
( ( a_select2(s_values7_init,K) = init
| ~ leq(K,n3)
| ~ leq(n0,K)
| sP10_prd(K) )
& ( ( a_select2(s_values7_init,K) != init
& leq(K,n3)
& leq(n0,K) )
| ~ sP10_prd(K) ) ),
inference(NNF_transformation,[status(thm)],[f339]) ).
fof(f462,plain,
( ! [K] :
( a_select2(s_values7_init,K) = init
| ~ leq(K,n3)
| ~ leq(n0,K)
| sP10_prd(K) )
& ! [K] :
( ( a_select2(s_values7_init,K) != init
& leq(K,n3)
& leq(n0,K) )
| ~ sP10_prd(K) ) ),
inference(miniscoping,[status(thm)],[f461]) ).
fof(f463,plain,
! [X0] :
( leq(n0,X0)
| ~ sP10_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f464,plain,
! [X0] :
( leq(X0,n3)
| ~ sP10_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f465,plain,
! [X0] :
( a_select2(s_values7_init,X0) != init
| ~ sP10_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f467,plain,
! [L] :
( ( a_select2(s_center7_init,L) = init
| ~ leq(L,n2)
| ~ leq(n0,L)
| sP11_prd(L) )
& ( ( a_select2(s_center7_init,L) != init
& leq(L,n2)
& leq(n0,L) )
| ~ sP11_prd(L) ) ),
inference(NNF_transformation,[status(thm)],[f340]) ).
fof(f468,plain,
( ! [L] :
( a_select2(s_center7_init,L) = init
| ~ leq(L,n2)
| ~ leq(n0,L)
| sP11_prd(L) )
& ! [L] :
( ( a_select2(s_center7_init,L) != init
& leq(L,n2)
& leq(n0,L) )
| ~ sP11_prd(L) ) ),
inference(miniscoping,[status(thm)],[f467]) ).
fof(f469,plain,
! [X0] :
( leq(n0,X0)
| ~ sP11_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f470,plain,
! [X0] :
( leq(X0,n2)
| ~ sP11_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f471,plain,
! [X0] :
( a_select2(s_center7_init,X0) != init
| ~ sP11_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f473,plain,
! [M] :
( ( ! [N] :
( a_select3(simplex7_init,N,M) = init
| ~ leq(N,n3)
| ~ leq(n0,N) )
| ~ leq(M,n2)
| ~ leq(n0,M)
| sP12_prd(M) )
& ( ( ? [N] :
( a_select3(simplex7_init,N,M) != init
& leq(N,n3)
& leq(n0,N) )
& leq(M,n2)
& leq(n0,M) )
| ~ sP12_prd(M) ) ),
inference(NNF_transformation,[status(thm)],[f341]) ).
fof(f474,plain,
( ! [M] :
( ! [N] :
( a_select3(simplex7_init,N,M) = init
| ~ leq(N,n3)
| ~ leq(n0,N) )
| ~ leq(M,n2)
| ~ leq(n0,M)
| sP12_prd(M) )
& ! [M] :
( ( ? [N] :
( a_select3(simplex7_init,N,M) != init
& leq(N,n3)
& leq(n0,N) )
& leq(M,n2)
& leq(n0,M) )
| ~ sP12_prd(M) ) ),
inference(miniscoping,[status(thm)],[f473]) ).
fof(f475,plain,
( ! [M] :
( ! [N] :
( a_select3(simplex7_init,N,M) = init
| ~ leq(N,n3)
| ~ leq(n0,N) )
| ~ leq(M,n2)
| ~ leq(n0,M)
| sP12_prd(M) )
& ! [M] :
( ( a_select3(simplex7_init,sK41_skl(M),M) != init
& leq(sK41_skl(M),n3)
& leq(n0,sK41_skl(M))
& leq(M,n2)
& leq(n0,M) )
| ~ sP12_prd(M) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41_skl]),skolemize(N,sK41_skl(M))],[f474]) ).
fof(f476,plain,
! [X0] :
( leq(n0,X0)
| ~ sP12_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f477,plain,
! [X0] :
( leq(X0,n2)
| ~ sP12_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f478,plain,
! [X0] :
( leq(n0,sK41_skl(X0))
| ~ sP12_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f479,plain,
! [X0] :
( leq(sK41_skl(X0),n3)
| ~ sP12_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f480,plain,
! [X0] :
( a_select3(simplex7_init,sK41_skl(X0),X0) != init
| ~ sP12_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f482,plain,
! [O] :
( ( a_select2(s_values7_init,O) = init
| ~ leq(O,n3)
| ~ leq(n0,O)
| sP13_prd(O) )
& ( ( a_select2(s_values7_init,O) != init
& leq(O,n3)
& leq(n0,O) )
| ~ sP13_prd(O) ) ),
inference(NNF_transformation,[status(thm)],[f342]) ).
fof(f483,plain,
( ! [O] :
( a_select2(s_values7_init,O) = init
| ~ leq(O,n3)
| ~ leq(n0,O)
| sP13_prd(O) )
& ! [O] :
( ( a_select2(s_values7_init,O) != init
& leq(O,n3)
& leq(n0,O) )
| ~ sP13_prd(O) ) ),
inference(miniscoping,[status(thm)],[f482]) ).
fof(f484,plain,
! [X0] :
( leq(n0,X0)
| ~ sP13_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f485,plain,
! [X0] :
( leq(X0,n3)
| ~ sP13_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f486,plain,
! [X0] :
( a_select2(s_values7_init,X0) != init
| ~ sP13_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f488,plain,
! [P] :
( ( a_select2(s_center7_init,P) = init
| ~ leq(P,n2)
| ~ leq(n0,P)
| sP14_prd(P) )
& ( ( a_select2(s_center7_init,P) != init
& leq(P,n2)
& leq(n0,P) )
| ~ sP14_prd(P) ) ),
inference(NNF_transformation,[status(thm)],[f343]) ).
fof(f489,plain,
( ! [P] :
( a_select2(s_center7_init,P) = init
| ~ leq(P,n2)
| ~ leq(n0,P)
| sP14_prd(P) )
& ! [P] :
( ( a_select2(s_center7_init,P) != init
& leq(P,n2)
& leq(n0,P) )
| ~ sP14_prd(P) ) ),
inference(miniscoping,[status(thm)],[f488]) ).
fof(f490,plain,
! [X0] :
( leq(n0,X0)
| ~ sP14_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f491,plain,
! [X0] :
( leq(X0,n2)
| ~ sP14_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f492,plain,
! [X0] :
( a_select2(s_center7_init,X0) != init
| ~ sP14_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f494,plain,
! [E] :
( ( ! [F] :
( a_select3(simplex7_init,F,E) = init
| ~ leq(F,n3)
| ~ leq(n0,F) )
| ~ leq(E,n2)
| ~ leq(n0,E)
| sP15_prd(E) )
& ( ( ? [F] :
( a_select3(simplex7_init,F,E) != init
& leq(F,n3)
& leq(n0,F) )
& leq(E,n2)
& leq(n0,E) )
| ~ sP15_prd(E) ) ),
inference(NNF_transformation,[status(thm)],[f428]) ).
fof(f495,plain,
( ! [E] :
( ! [F] :
( a_select3(simplex7_init,F,E) = init
| ~ leq(F,n3)
| ~ leq(n0,F) )
| ~ leq(E,n2)
| ~ leq(n0,E)
| sP15_prd(E) )
& ! [E] :
( ( ? [F] :
( a_select3(simplex7_init,F,E) != init
& leq(F,n3)
& leq(n0,F) )
& leq(E,n2)
& leq(n0,E) )
| ~ sP15_prd(E) ) ),
inference(miniscoping,[status(thm)],[f494]) ).
fof(f496,plain,
( ! [E] :
( ! [F] :
( a_select3(simplex7_init,F,E) = init
| ~ leq(F,n3)
| ~ leq(n0,F) )
| ~ leq(E,n2)
| ~ leq(n0,E)
| sP15_prd(E) )
& ! [E] :
( ( a_select3(simplex7_init,sK42_skl(E),E) != init
& leq(sK42_skl(E),n3)
& leq(n0,sK42_skl(E))
& leq(E,n2)
& leq(n0,E) )
| ~ sP15_prd(E) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42_skl]),skolemize(F,sK42_skl(E))],[f495]) ).
fof(f497,plain,
! [X0] :
( leq(n0,X0)
| ~ sP15_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f498,plain,
! [X0] :
( leq(X0,n2)
| ~ sP15_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f499,plain,
! [X0] :
( leq(n0,sK42_skl(X0))
| ~ sP15_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f500,plain,
! [X0] :
( leq(sK42_skl(X0),n3)
| ~ sP15_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f501,plain,
! [X0] :
( a_select3(simplex7_init,sK42_skl(X0),X0) != init
| ~ sP15_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f502,plain,
! [X0,X1] :
( a_select3(simplex7_init,X1,X0) = init
| ~ leq(X1,n3)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(n0,X0)
| sP15_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f503,plain,
! [G] :
( ( a_select2(s_values7_init,G) = init
| ~ leq(G,n3)
| ~ leq(n0,G)
| sP16_prd(G) )
& ( ( a_select2(s_values7_init,G) != init
& leq(G,n3)
& leq(n0,G) )
| ~ sP16_prd(G) ) ),
inference(NNF_transformation,[status(thm)],[f429]) ).
fof(f504,plain,
( ! [G] :
( a_select2(s_values7_init,G) = init
| ~ leq(G,n3)
| ~ leq(n0,G)
| sP16_prd(G) )
& ! [G] :
( ( a_select2(s_values7_init,G) != init
& leq(G,n3)
& leq(n0,G) )
| ~ sP16_prd(G) ) ),
inference(miniscoping,[status(thm)],[f503]) ).
fof(f505,plain,
! [X0] :
( leq(n0,X0)
| ~ sP16_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f506,plain,
! [X0] :
( leq(X0,n3)
| ~ sP16_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f507,plain,
! [X0] :
( a_select2(s_values7_init,X0) != init
| ~ sP16_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f509,plain,
! [H] :
( ( a_select2(s_center7_init,H) = init
| ~ leq(H,n2)
| ~ leq(n0,H)
| sP17_prd(H) )
& ( ( a_select2(s_center7_init,H) != init
& leq(H,n2)
& leq(n0,H) )
| ~ sP17_prd(H) ) ),
inference(NNF_transformation,[status(thm)],[f430]) ).
fof(f510,plain,
( ! [H] :
( a_select2(s_center7_init,H) = init
| ~ leq(H,n2)
| ~ leq(n0,H)
| sP17_prd(H) )
& ! [H] :
( ( a_select2(s_center7_init,H) != init
& leq(H,n2)
& leq(n0,H) )
| ~ sP17_prd(H) ) ),
inference(miniscoping,[status(thm)],[f509]) ).
fof(f511,plain,
! [X0] :
( leq(n0,X0)
| ~ sP17_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f510]) ).
fof(f512,plain,
! [X0] :
( leq(X0,n2)
| ~ sP17_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f510]) ).
fof(f513,plain,
! [X0] :
( a_select2(s_center7_init,X0) != init
| ~ sP17_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f510]) ).
fof(f515,definition,
( sQ0_spl
<=> gt(loopcounter,n1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ0_spl
| gt(loopcounter,n1) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ1_spl
<=> pvar1400_init = init ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f265,f515,f518]) ).
fof(f522,definition,
( sQ2_spl
<=> pvar1401_init = init ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f266,f515,f522]) ).
fof(f526,definition,
( sQ3_spl
<=> pvar1402_init = init ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f267,f515,f526]) ).
fof(f530,definition,
( sQ4_spl
<=> init = init ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( sQ4_spl
| init != init ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,definition,
( sQ5_spl
<=> s_best7_init = init ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( sQ5_spl
| s_best7_init != init ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,definition,
( sQ6_spl
<=> a_select2(s_values7_init,s_best7) = init ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ6_spl
| a_select2(s_values7_init,s_best7) = init ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f538,plain,
( sQ6_spl
| a_select2(s_values7_init,s_best7) != init ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,definition,
( sQ7_spl
<=> a_select2(s_values7_init,pv1388) = init ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ7_spl
| a_select2(s_values7_init,pv1388) = init ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f541,plain,
( sQ7_spl
| a_select2(s_values7_init,pv1388) != init ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ8_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f545,definition,
( sQ9_spl
<=> gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ9_spl
| gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7)) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f547,plain,
( sQ9_spl
| ~ gt(a_select2(s_values7,pv1388),a_select2(s_values7,s_best7)) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( sQ9_spl
| sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f268,f530,f533,f536,f539,f542,f545]) ).
fof(f549,definition,
( sQ10_spl
<=> s_sworst7_init = init ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( sQ10_spl
| s_sworst7_init != init ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ11_spl
<=> s_worst7_init = init ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( sQ11_spl
| s_worst7_init != init ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ12_spl
<=> leq(n0,s_sworst7) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( sQ12_spl
| ~ leq(n0,s_sworst7) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ13_spl
<=> leq(n0,s_worst7) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f560,plain,
( sQ13_spl
| ~ leq(n0,s_worst7) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,definition,
( sQ14_spl
<=> leq(n0,pv1388) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ14_spl
| leq(n0,pv1388) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f563,plain,
( sQ14_spl
| ~ leq(n0,pv1388) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,definition,
( sQ15_spl
<=> leq(s_sworst7,n3) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( sQ15_spl
| ~ leq(s_sworst7,n3) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,definition,
( sQ16_spl
<=> leq(s_worst7,n3) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( sQ16_spl
| ~ leq(s_worst7,n3) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,definition,
( sQ17_spl
<=> leq(pv1388,n3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( sQ17_spl
| ~ leq(pv1388,n3) ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,definition,
( sQ18_spl
<=> sP4_prd(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ18_spl
| sP4_prd(sK23_skl) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
( sQ19_spl
<=> sP5_prd(sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ19_spl
| sP5_prd(sK24_skl) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,definition,
( sQ20_spl
<=> sP6_prd(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( ~ sQ20_spl
| sP6_prd(sK25_skl) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( sQ0_spl
| sQ20_spl
| sQ19_spl
| sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f269,f530,f533,f536,f539,f542,f549,f552,f555,f558,f561,f564,f567,f570,f573,f576,f579,f515]) ).
fof(f583,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ20_spl
| sQ19_spl
| sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f270,f530,f533,f536,f539,f542,f549,f552,f555,f558,f561,f564,f567,f570,f573,f576,f579,f518,f522,f526]) ).
fof(f584,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f347,f542,f545]) ).
fof(f585,definition,
( sQ21_spl
<=> a_select2(s_values7_init,s_worst7) = init ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ21_spl
| a_select2(s_values7_init,s_worst7) = init ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f587,plain,
( sQ21_spl
| a_select2(s_values7_init,s_worst7) != init ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,definition,
( sQ22_spl
<=> leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_worst7)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f592,definition,
( sQ23_spl
<=> leq(n0,s_best7) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( sQ23_spl
| ~ leq(n0,s_best7) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,definition,
( sQ24_spl
<=> leq(s_best7,n3) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( sQ24_spl
| ~ leq(s_best7,n3) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,definition,
( sQ25_spl
<=> sP12_prd(sK33_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f599,plain,
( ~ sQ25_spl
| sP12_prd(sK33_skl) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,definition,
( sQ26_spl
<=> sP13_prd(sK34_skl) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ26_spl
| sP13_prd(sK34_skl) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,definition,
( sQ27_spl
<=> sP14_prd(sK35_skl) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ27_spl
| sP14_prd(sK35_skl) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,plain,
( sQ0_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ24_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ23_spl
| ~ sQ5_spl
| ~ sQ22_spl
| ~ sQ7_spl
| ~ sQ21_spl
| ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f349,f542,f530,f552,f585,f539,f588,f533,f592,f558,f561,f595,f567,f570,f598,f601,f604,f515]) ).
fof(f608,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ24_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ23_spl
| ~ sQ5_spl
| ~ sQ22_spl
| ~ sQ7_spl
| ~ sQ21_spl
| ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f350,f542,f530,f552,f585,f539,f588,f533,f592,f558,f561,f595,f567,f570,f598,f601,f604,f518,f522,f526]) ).
fof(f609,definition,
( sQ28_spl
<=> a_select2(s_values7_init,s_sworst7) = init ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( ~ sQ28_spl
| a_select2(s_values7_init,s_sworst7) = init ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f611,plain,
( sQ28_spl
| a_select2(s_values7_init,s_sworst7) != init ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,definition,
( sQ29_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f615,definition,
( sQ30_spl
<=> leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ30_spl
| leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f617,plain,
( sQ30_spl
| ~ leq(a_select2(s_values7,pv1388),a_select2(s_values7,s_sworst7)) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f621,definition,
( sQ31_spl
<=> sP9_prd(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ31_spl
| sP9_prd(sK30_skl) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,definition,
( sQ32_spl
<=> sP10_prd(sK31_skl) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ32_spl
| sP10_prd(sK31_skl) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,definition,
( sQ33_spl
<=> sP11_prd(sK32_skl) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ33_spl
| sP11_prd(sK32_skl) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,plain,
( sQ22_spl
| sQ0_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ24_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ23_spl
| ~ sQ5_spl
| sQ29_spl
| ~ sQ28_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ21_spl
| ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f354,f542,f530,f552,f585,f539,f549,f609,f612,f533,f592,f558,f561,f595,f567,f570,f621,f624,f627,f515,f588]) ).
fof(f631,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ0_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ24_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ23_spl
| ~ sQ5_spl
| sQ29_spl
| ~ sQ28_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ21_spl
| ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f355,f542,f530,f552,f585,f539,f549,f609,f612,f533,f592,f558,f561,f595,f567,f570,f621,f624,f627,f515,f598,f601,f604]) ).
fof(f633,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ24_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ23_spl
| ~ sQ5_spl
| sQ29_spl
| ~ sQ28_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ21_spl
| ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f357,f542,f530,f552,f585,f539,f549,f609,f612,f533,f592,f558,f561,f595,f567,f570,f621,f624,f627,f518,f522,f526,f588]) ).
fof(f635,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ24_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ23_spl
| ~ sQ5_spl
| sQ29_spl
| ~ sQ28_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ21_spl
| ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f359,f542,f530,f552,f585,f539,f549,f609,f612,f533,f592,f558,f561,f595,f567,f570,f621,f624,f627,f518,f522,f526,f598,f601,f604]) ).
fof(f693,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f434,f612,f615]) ).
fof(f694,definition,
( sQ40_spl
<=> sP15_prd(sK37_skl) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( ~ sQ40_spl
| sP15_prd(sK37_skl) ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,definition,
( sQ41_spl
<=> sP16_prd(sK38_skl) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ41_spl
| sP16_prd(sK38_skl) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,definition,
( sQ42_spl
<=> sP17_prd(sK39_skl) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ42_spl
| sP17_prd(sK39_skl) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( sQ0_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ24_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ23_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f435,f612,f533,f549,f552,f592,f555,f558,f595,f564,f567,f694,f697,f700,f515]) ).
fof(f704,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ24_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ23_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f436,f612,f533,f549,f552,f592,f555,f558,f595,f564,f567,f694,f697,f700,f518,f522,f526]) ).
fof(f730,plain,
s_sworst7_init = s_best7_init,
inference(forward_demodulation,[status(thm)],[f251,f252]) ).
fof(f731,plain,
s_worst7_init = s_best7_init,
inference(forward_demodulation,[status(thm)],[f251,f253]) ).
fof(f734,plain,
! [X0,X1,X2] :
( X2 = X1
| gt(X2,X1)
| gt(X0,X2)
| ~ gt(X0,X1) ),
inference(resolution,[status(thm)],[f90,f87]) ).
fof(f736,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1) ),
inference(resolution,[status(thm)],[f90,f91]) ).
fof(f739,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ gt(X0,succ(X1)) ),
inference(resolution,[status(thm)],[f112,f90]) ).
fof(f741,plain,
pred(n0) = tptp_minus_1,
inference(paramodulation,[status(thm)],[f199,f211]) ).
fof(f742,plain,
! [X0,X1,X2,X3] :
( ~ leq(X3,X2)
| ~ leq(X1,X3)
| leq(X0,X2)
| ~ leq(X0,X1) ),
inference(resolution,[status(thm)],[f95,f95]) ).
fof(f753,plain,
! [X0] :
( leq(X0,n3)
| ~ leq(X0,pv1388) ),
inference(resolution,[status(thm)],[f261,f95]) ).
fof(f754,plain,
! [X0] :
( gt(X0,n0)
| ~ gt(X0,n1) ),
inference(resolution,[status(thm)],[f280,f90]) ).
fof(f757,plain,
( gt(n3,pv1388)
| pv1388 = n3 ),
inference(resolution,[status(thm)],[f107,f261]) ).
fof(f758,plain,
( gt(n3,s_worst7)
| s_worst7 = n3 ),
inference(resolution,[status(thm)],[f107,f260]) ).
fof(f759,plain,
( gt(n3,s_sworst7)
| s_sworst7 = n3 ),
inference(resolution,[status(thm)],[f107,f259]) ).
fof(f760,plain,
( gt(n3,s_best7)
| s_best7 = n3 ),
inference(resolution,[status(thm)],[f107,f258]) ).
fof(f761,plain,
( gt(pv1388,n2)
| n2 = pv1388 ),
inference(resolution,[status(thm)],[f107,f257]) ).
fof(f762,plain,
( gt(s_worst7,n0)
| n0 = s_worst7 ),
inference(resolution,[status(thm)],[f107,f256]) ).
fof(f763,plain,
( gt(s_sworst7,n0)
| n0 = s_sworst7 ),
inference(resolution,[status(thm)],[f107,f255]) ).
fof(f764,plain,
( gt(s_best7,n0)
| n0 = s_best7 ),
inference(resolution,[status(thm)],[f107,f254]) ).
fof(f768,definition,
( sQ46_spl
<=> pv1388 = n3 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ46_spl
| pv1388 = n3 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,definition,
( sQ47_spl
<=> gt(n3,pv1388) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f772,plain,
( ~ sQ47_spl
| gt(n3,pv1388) ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,plain,
( sQ47_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f757,f768,f771]) ).
fof(f775,definition,
( sQ48_spl
<=> s_worst7 = n3 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( ~ sQ48_spl
| s_worst7 = n3 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,definition,
( sQ49_spl
<=> gt(n3,s_worst7) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f781,plain,
( sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f758,f775,f778]) ).
fof(f782,definition,
( sQ50_spl
<=> s_sworst7 = n3 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( ~ sQ50_spl
| s_sworst7 = n3 ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,definition,
( sQ51_spl
<=> gt(n3,s_sworst7) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f759,f782,f785]) ).
fof(f789,definition,
( sQ52_spl
<=> s_best7 = n3 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f790,plain,
( ~ sQ52_spl
| s_best7 = n3 ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,definition,
( sQ53_spl
<=> gt(n3,s_best7) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f760,f789,f792]) ).
fof(f796,definition,
( sQ54_spl
<=> n2 = pv1388 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ54_spl
| n2 = pv1388 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,definition,
( sQ55_spl
<=> gt(pv1388,n2) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( ~ sQ55_spl
| gt(pv1388,n2) ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( sQ55_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f761,f796,f799]) ).
fof(f803,definition,
( sQ56_spl
<=> n0 = s_worst7 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( ~ sQ56_spl
| n0 = s_worst7 ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,definition,
( sQ57_spl
<=> gt(s_worst7,n0) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ57_spl
| gt(s_worst7,n0) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f808,plain,
( sQ57_spl
| ~ gt(s_worst7,n0) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f762,f803,f806]) ).
fof(f810,definition,
( sQ58_spl
<=> n0 = s_sworst7 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ58_spl
| n0 = s_sworst7 ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,definition,
( sQ59_spl
<=> gt(s_sworst7,n0) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ59_spl
| gt(s_sworst7,n0) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,plain,
( sQ59_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f763,f810,f813]) ).
fof(f817,definition,
( sQ60_spl
<=> n0 = s_best7 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f818,plain,
( ~ sQ60_spl
| n0 = s_best7 ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,definition,
( sQ61_spl
<=> gt(s_best7,n0) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ61_spl
| gt(s_best7,n0) ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f764,f817,f820]) ).
fof(f833,plain,
( ~ sQ50_spl
| ~ sQ58_spl
| n0 = n3 ),
inference(forward_demodulation,[status(thm)],[f811,f783]) ).
fof(f835,plain,
( ~ sQ46_spl
| ~ sQ54_spl
| n2 = n3 ),
inference(forward_demodulation,[status(thm)],[f797,f769]) ).
fof(f841,plain,
( sQ6_spl
| a_select2(s_values7_init,s_best7) != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f538]) ).
fof(f842,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| gt(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f811,f814]) ).
fof(f843,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f842,f91]) ).
fof(f844,plain,
( ~ sQ59_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f843]) ).
fof(f845,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| gt(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f804,f807]) ).
fof(f846,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f845,f91]) ).
fof(f847,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f846]) ).
fof(f848,plain,
( sQ7_spl
| a_select2(s_values7_init,pv1388) != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f541]) ).
fof(f849,plain,
( sQ4_spl
| s_best7_init != init ),
inference(forward_demodulation,[status(thm)],[f251,f532]) ).
fof(f850,plain,
( sQ4_spl
| s_best7_init != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f849]) ).
fof(f851,plain,
( sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f850]) ).
fof(f852,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f853,plain,
( sQ21_spl
| a_select2(s_values7_init,s_worst7) != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f587]) ).
fof(f854,plain,
( sQ28_spl
| a_select2(s_values7_init,s_sworst7) != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f611]) ).
fof(f859,plain,
! [X0,X1] :
( ~ gt(pred(X0),X1)
| gt(X0,X1) ),
inference(resolution,[status(thm)],[f110,f105]) ).
fof(f861,plain,
! [X0] : gt(X0,pred(X0)),
inference(resolution,[status(thm)],[f110,f92]) ).
fof(f865,plain,
! [X0,X1] :
( a_select3(simplex7_init,X1,X0) = s_best7_init
| ~ leq(X1,n3)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(forward_demodulation,[status(thm)],[f251,f262]) ).
fof(f874,plain,
! [X0] :
( a_select2(s_values7_init,X0) = s_best7_init
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(forward_demodulation,[status(thm)],[f251,f263]) ).
fof(f875,plain,
! [X0] :
( a_select2(s_center7_init,X0) = s_best7_init
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(forward_demodulation,[status(thm)],[f251,f264]) ).
fof(f885,plain,
! [X0,X1] :
( gt(pred(X0),X1)
| X1 = pred(X0)
| ~ gt(X0,X1) ),
inference(resolution,[status(thm)],[f111,f107]) ).
fof(f886,plain,
! [X0,X1,X2] :
( leq(X2,pred(X0))
| ~ leq(X2,X1)
| ~ gt(X0,X1) ),
inference(resolution,[status(thm)],[f111,f95]) ).
fof(f890,plain,
! [X0] :
( leq(X0,n0)
| ~ leq(X0,tptp_minus_1) ),
inference(paramodulation,[status(thm)],[f199,f114]) ).
fof(f892,plain,
! [X0] : ~ leq(succ(X0),X0),
inference(resolution,[status(thm)],[f117,f91]) ).
fof(f897,plain,
! [X0] :
( gt(X0,n0)
| n0 = X0
| ~ sP4_prd(X0) ),
inference(resolution,[status(thm)],[f402,f107]) ).
fof(f898,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ leq(X1,n0)
| ~ sP4_prd(X0) ),
inference(resolution,[status(thm)],[f402,f95]) ).
fof(f904,plain,
( ~ sQ50_spl
| ~ sQ58_spl
| gt(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f833,f282]) ).
fof(f905,plain,
( ~ sQ50_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f904,f91]) ).
fof(f906,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f905]) ).
fof(f907,plain,
! [X0] :
( gt(X0,n1)
| ~ gt(X0,n2) ),
inference(resolution,[status(thm)],[f285,f90]) ).
fof(f920,plain,
! [X0,X1] :
( X0 = succ(X1)
| gt(X0,succ(X1))
| leq(X0,X1) ),
inference(resolution,[status(thm)],[f118,f87]) ).
fof(f921,plain,
! [X0] :
( ~ gt(n0,X0)
| leq(X0,tptp_minus_1) ),
inference(paramodulation,[status(thm)],[f199,f118]) ).
fof(f922,plain,
! [X0,X1] :
( gt(X0,uniform_int_rnd(X1,pred(X0)))
| ~ leq(n0,pred(X0)) ),
inference(resolution,[status(thm)],[f121,f110]) ).
fof(f923,plain,
! [X0,X1] :
( gt(X0,uniform_int_rnd(X1,X0))
| uniform_int_rnd(X1,X0) = X0
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f121,f107]) ).
fof(f926,plain,
! [X0,X1,X2] :
( leq(X1,uniform_int_rnd(X2,X0))
| ~ leq(X1,n0)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f124,f95]) ).
fof(f927,plain,
! [X0] :
( gt(n2,X0)
| X0 = n2
| ~ sP4_prd(X0) ),
inference(resolution,[status(thm)],[f403,f107]) ).
fof(f931,plain,
( ~ sQ46_spl
| ~ sQ54_spl
| gt(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f835,f289]) ).
fof(f932,plain,
( ~ sQ46_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f931,f91]) ).
fof(f933,plain,
( ~ sQ46_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f932]) ).
fof(f938,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(X0,pred(X1)) ),
inference(paramodulation,[status(thm)],[f212,f114]) ).
fof(f943,plain,
! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n5) ),
inference(resolution,[status(thm)],[f273,f90]) ).
fof(f944,plain,
! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n0) ),
inference(resolution,[status(thm)],[f274,f90]) ).
fof(f945,plain,
! [X0] :
( gt(X0,tptp_minus_1)
| ~ gt(X0,n1) ),
inference(resolution,[status(thm)],[f275,f90]) ).
fof(f951,plain,
! [X0,X1] :
( leq(X1,sK36_skl(X0))
| ~ leq(X1,n0)
| ~ sP4_prd(X0) ),
inference(resolution,[status(thm)],[f404,f95]) ).
fof(f952,plain,
! [X0] :
( ~ gt(n1,X0)
| leq(X0,n0) ),
inference(paramodulation,[status(thm)],[f306,f118]) ).
fof(f953,plain,
! [X0] :
( gt(n1,X0)
| ~ leq(X0,n0) ),
inference(paramodulation,[status(thm)],[f306,f117]) ).
fof(f954,plain,
! [X0] :
( leq(X0,n1)
| ~ leq(X0,n0) ),
inference(paramodulation,[status(thm)],[f306,f114]) ).
fof(f955,plain,
pred(n1) = n0,
inference(paramodulation,[status(thm)],[f306,f211]) ).
fof(f968,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| gt(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f797,f800]) ).
fof(f969,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f968,f91]) ).
fof(f970,plain,
( ~ sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f969]) ).
fof(f973,plain,
! [X0,X1] :
( ~ leq(n0,X1)
| uniform_int_rnd(X0,X1) = n0
| ~ leq(uniform_int_rnd(X0,X1),n0) ),
inference(resolution,[status(thm)],[f297,f124]) ).
fof(f976,plain,
! [X0] :
( ~ leq(n0,X0)
| succ(X0) = n0
| ~ leq(succ(X0),n0) ),
inference(resolution,[status(thm)],[f297,f114]) ).
fof(f977,plain,
! [X0] :
( ~ gt(X0,n0)
| pred(X0) = n0
| ~ leq(pred(X0),n0) ),
inference(resolution,[status(thm)],[f297,f111]) ).
fof(f979,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(n0,X1)
| X0 = n0
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f297,f95]) ).
fof(f980,plain,
( n0 = n0
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f297,f92]) ).
fof(f981,definition,
( sQ64_spl
<=> leq(s_best7,n0) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f983,plain,
( sQ64_spl
| ~ leq(s_best7,n0) ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f985,definition,
( sQ65_spl
<=> leq(n2,n0) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( sQ65_spl
| ~ leq(n2,n0) ),
inference(component_clause,[status(thm)],[f985]) ).
fof(f988,definition,
( sQ66_spl
<=> n2 = n0 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f989,plain,
( ~ sQ66_spl
| n2 = n0 ),
inference(component_clause,[status(thm)],[f988]) ).
fof(f990,plain,
( sQ66_spl
| n2 != n0 ),
inference(component_clause,[status(thm)],[f988]) ).
fof(f995,definition,
( sQ68_spl
<=> leq(n0,n0) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f997,plain,
( sQ68_spl
| ~ leq(n0,n0) ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,definition,
( sQ69_spl
<=> n0 = n0 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ69_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f980,f995,f998]) ).
fof(f1002,plain,
( sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f997,f92]) ).
fof(f1003,plain,
sQ68_spl,
inference(contradiction_clause,[status(thm)],[f1002]) ).
fof(f1006,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)],[f299,f124]) ).
fof(f1009,plain,
! [X0] :
( ~ leq(n0,X0)
| succ(X0) = n1
| succ(X0) = n0
| ~ leq(succ(X0),n1) ),
inference(resolution,[status(thm)],[f299,f114]) ).
fof(f1010,plain,
! [X0] :
( ~ gt(X0,n0)
| pred(X0) = n1
| pred(X0) = n0
| ~ leq(pred(X0),n1) ),
inference(resolution,[status(thm)],[f299,f111]) ).
fof(f1011,plain,
! [X0] :
( ~ gt(X0,n0)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f299,f105]) ).
fof(f1012,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(n0,X1)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f299,f95]) ).
fof(f1014,definition,
( sQ70_spl
<=> leq(s_best7,n1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
( sQ70_spl
| ~ leq(s_best7,n1) ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1017,definition,
( sQ71_spl
<=> s_best7 = n1 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1018,plain,
( ~ sQ71_spl
| s_best7 = n1 ),
inference(component_clause,[status(thm)],[f1017]) ).
fof(f1021,definition,
( sQ72_spl
<=> leq(n2,n1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
( sQ72_spl
| ~ leq(n2,n1) ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1024,definition,
( sQ73_spl
<=> n2 = n1 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1025,plain,
( ~ sQ73_spl
| n2 = n1 ),
inference(component_clause,[status(thm)],[f1024]) ).
fof(f1026,plain,
( sQ73_spl
| n2 != n1 ),
inference(component_clause,[status(thm)],[f1024]) ).
fof(f1028,definition,
( sQ74_spl
<=> leq(n0,n1) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( ~ sQ74_spl
| leq(n0,n1) ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1030,plain,
( sQ74_spl
| ~ leq(n0,n1) ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,definition,
( sQ75_spl
<=> n0 = n1 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1032,plain,
( ~ sQ75_spl
| n0 = n1 ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1033,plain,
( sQ75_spl
| n0 != n1 ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1039,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f818,f821]) ).
fof(f1041,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1039,f91]) ).
fof(f1042,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1041]) ).
fof(f1048,plain,
( ~ sQ47_spl
| ~ sQ54_spl
| gt(n3,n2) ),
inference(forward_demodulation,[status(thm)],[f797,f772]) ).
fof(f1058,plain,
( ~ sQ30_spl
| ~ sQ54_spl
| leq(a_select2(s_values7,n2),a_select2(s_values7,s_sworst7)) ),
inference(forward_demodulation,[status(thm)],[f797,f616]) ).
fof(f1061,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)],[f301,f124]) ).
fof(f1063,plain,
! [X0] :
( ~ leq(n0,X0)
| succ(X0) = n2
| succ(X0) = n1
| succ(X0) = n0
| ~ leq(succ(X0),n2) ),
inference(resolution,[status(thm)],[f301,f114]) ).
fof(f1064,plain,
! [X0] :
( ~ gt(X0,n0)
| pred(X0) = n2
| pred(X0) = n1
| pred(X0) = n0
| ~ leq(pred(X0),n2) ),
inference(resolution,[status(thm)],[f301,f111]) ).
fof(f1065,plain,
! [X0] :
( ~ gt(X0,n0)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2) ),
inference(resolution,[status(thm)],[f301,f105]) ).
fof(f1066,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(n0,X1)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2) ),
inference(resolution,[status(thm)],[f301,f95]) ).
fof(f1068,definition,
( sQ76_spl
<=> leq(n0,n2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( ~ sQ76_spl
| leq(n0,n2) ),
inference(component_clause,[status(thm)],[f1068]) ).
fof(f1070,plain,
( sQ76_spl
| ~ leq(n0,n2) ),
inference(component_clause,[status(thm)],[f1068]) ).
fof(f1073,plain,
! [X0,X1] :
( ~ leq(n0,X1)
| uniform_int_rnd(X0,X1) = n3
| uniform_int_rnd(X0,X1) = n2
| uniform_int_rnd(X0,X1) = n1
| uniform_int_rnd(X0,X1) = n0
| ~ leq(uniform_int_rnd(X0,X1),n3) ),
inference(resolution,[status(thm)],[f303,f124]) ).
fof(f1075,plain,
! [X0] :
( ~ leq(n0,X0)
| succ(X0) = n3
| succ(X0) = n2
| succ(X0) = n1
| succ(X0) = n0
| ~ leq(succ(X0),n3) ),
inference(resolution,[status(thm)],[f303,f114]) ).
fof(f1076,plain,
! [X0] :
( ~ gt(X0,n0)
| pred(X0) = n3
| pred(X0) = n2
| pred(X0) = n1
| pred(X0) = n0
| ~ leq(pred(X0),n3) ),
inference(resolution,[status(thm)],[f303,f111]) ).
fof(f1077,plain,
! [X0] :
( ~ gt(X0,n0)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f303,f105]) ).
fof(f1078,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(n0,X1)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f303,f95]) ).
fof(f1081,definition,
( sQ77_spl
<=> leq(n0,n3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( sQ77_spl
| ~ leq(n0,n3) ),
inference(component_clause,[status(thm)],[f1081]) ).
fof(f1084,definition,
( sQ78_spl
<=> n0 = n3 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
( ~ sQ78_spl
| n0 = n3 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1086,plain,
( sQ78_spl
| n0 != n3 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1092,plain,
( ~ sQ66_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f989,f281]) ).
fof(f1099,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1092,f91]) ).
fof(f1100,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1099]) ).
fof(f1104,plain,
( ~ sQ75_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f1032,f280]) ).
fof(f1107,plain,
( ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1104,f91]) ).
fof(f1108,plain,
~ sQ75_spl,
inference(contradiction_clause,[status(thm)],[f1107]) ).
fof(f1111,plain,
( ~ sQ71_spl
| ~ sQ60_spl
| n0 = n1 ),
inference(backward_demodulation,[status(thm)],[f818,f1018]) ).
fof(f1112,plain,
( ~ sQ71_spl
| ~ sQ60_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f1111,f1031,f817,f1017]) ).
fof(f1137,plain,
! [X0] :
( a_select3(simplex7_init,sK36_skl(X0),X0) != s_best7_init
| ~ sP4_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f251,f406]) ).
fof(f1138,plain,
( s_best7 = n0
| ~ leq(s_best7,n0) ),
inference(resolution,[status(thm)],[f254,f297]) ).
fof(f1140,plain,
! [X0] :
( leq(X0,s_best7)
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f254,f95]) ).
fof(f1141,plain,
( sQ60_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f1138,f981,f817]) ).
fof(f1143,plain,
! [X0] :
( ~ gt(n2,X0)
| leq(X0,succ(n0)) ),
inference(paramodulation,[status(thm)],[f307,f118]) ).
fof(f1158,plain,
! [X0] :
( gt(X0,n0)
| ~ gt(X0,n4) ),
inference(resolution,[status(thm)],[f278,f90]) ).
fof(f1203,definition,
( sQ79_spl
<=> leq(n3,n0) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1205,plain,
( sQ79_spl
| ~ leq(n3,n0) ),
inference(component_clause,[status(thm)],[f1203]) ).
fof(f1207,definition,
( sQ80_spl
<=> gt(n3,n0) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1208,plain,
( ~ sQ80_spl
| gt(n3,n0) ),
inference(component_clause,[status(thm)],[f1207]) ).
fof(f1209,plain,
( sQ80_spl
| ~ gt(n3,n0) ),
inference(component_clause,[status(thm)],[f1207]) ).
fof(f1223,plain,
! [X0] : ~ leq(succ(succ(X0)),X0),
inference(resolution,[status(thm)],[f892,f114]) ).
fof(f1225,plain,
! [X0] : ~ gt(X0,succ(X0)),
inference(resolution,[status(thm)],[f892,f105]) ).
fof(f1228,plain,
~ leq(n0,tptp_minus_1),
inference(paramodulation,[status(thm)],[f199,f892]) ).
fof(f1234,definition,
( sQ81_spl
<=> sP5_prd(n0) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1238,plain,
! [X0] :
( a_select2(s_values7_init,X0) != s_best7_init
| ~ sP5_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f251,f412]) ).
fof(f1240,plain,
! [X0] :
( gt(X0,n1)
| ~ gt(X0,n4) ),
inference(resolution,[status(thm)],[f283,f90]) ).
fof(f1241,plain,
! [X0] :
( gt(X0,n1)
| ~ gt(X0,n5) ),
inference(resolution,[status(thm)],[f284,f90]) ).
fof(f1244,plain,
! [X0] :
( gt(X0,n3)
| ~ gt(X0,n4) ),
inference(resolution,[status(thm)],[f290,f90]) ).
fof(f1245,plain,
! [X0] :
( gt(X0,n3)
| ~ gt(X0,n5) ),
inference(resolution,[status(thm)],[f291,f90]) ).
fof(f1274,definition,
( sQ82_spl
<=> n1 = n3 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1275,plain,
( ~ sQ82_spl
| n1 = n3 ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1276,plain,
( sQ82_spl
| n1 != n3 ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1277,definition,
( sQ83_spl
<=> gt(n3,n1) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1312,plain,
( ~ sQ82_spl
| gt(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f1275,f286]) ).
fof(f1313,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1312,f91]) ).
fof(f1314,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f1313]) ).
fof(f1350,plain,
! [X0] :
( a_select2(s_center7_init,X0) != s_best7_init
| ~ sP6_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f251,f418]) ).
fof(f1353,definition,
( sQ85_spl
<=> n2 = n3 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1354,plain,
( ~ sQ85_spl
| n2 = n3 ),
inference(component_clause,[status(thm)],[f1353]) ).
fof(f1355,plain,
( sQ85_spl
| n2 != n3 ),
inference(component_clause,[status(thm)],[f1353]) ).
fof(f1356,definition,
( sQ86_spl
<=> gt(n3,n2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1367,plain,
! [X0] :
( X0 = n0
| ~ leq(X0,n0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f455,f297]) ).
fof(f1370,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ leq(X1,n0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f455,f95]) ).
fof(f1371,plain,
~ leq(n1,n0),
inference(paramodulation,[status(thm)],[f306,f892]) ).
fof(f1381,plain,
! [X0] :
( leq(X0,n3)
| ~ leq(X0,s_best7) ),
inference(resolution,[status(thm)],[f258,f95]) ).
fof(f1386,plain,
( sQ70_spl
| ~ gt(n1,s_best7) ),
inference(resolution,[status(thm)],[f1016,f105]) ).
fof(f1392,plain,
( sQ77_spl
| ~ gt(n3,n0) ),
inference(resolution,[status(thm)],[f1083,f105]) ).
fof(f1420,plain,
! [X0] :
( gt(n2,X0)
| X0 = n2
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f456,f107]) ).
fof(f1432,plain,
( sQ76_spl
| ~ gt(n2,n0) ),
inference(resolution,[status(thm)],[f1070,f105]) ).
fof(f1434,plain,
( sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1432,f281]) ).
fof(f1435,plain,
sQ76_spl,
inference(contradiction_clause,[status(thm)],[f1434]) ).
fof(f1440,plain,
( sQ74_spl
| ~ gt(n1,n0) ),
inference(resolution,[status(thm)],[f1030,f105]) ).
fof(f1442,plain,
( sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1440,f280]) ).
fof(f1443,plain,
sQ74_spl,
inference(contradiction_clause,[status(thm)],[f1442]) ).
fof(f1444,plain,
( sQ72_spl
| ~ gt(n1,n2) ),
inference(resolution,[status(thm)],[f1023,f105]) ).
fof(f1445,plain,
! [X0] :
( sQ72_spl
| ~ leq(X0,n1)
| ~ leq(n2,X0) ),
inference(resolution,[status(thm)],[f1023,f95]) ).
fof(f1446,plain,
( sQ65_spl
| ~ gt(n0,n2) ),
inference(resolution,[status(thm)],[f987,f105]) ).
fof(f1450,plain,
! [X0,X1] :
( leq(X1,sK40_skl(X0))
| ~ leq(X1,n0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f457,f95]) ).
fof(f1458,plain,
~ gt(n0,n1),
inference(paramodulation,[status(thm)],[f306,f1225]) ).
fof(f1459,plain,
! [X0] : ~ gt(pred(X0),X0),
inference(paramodulation,[status(thm)],[f212,f1225]) ).
fof(f1460,plain,
~ gt(tptp_minus_1,n0),
inference(paramodulation,[status(thm)],[f199,f1225]) ).
fof(f1479,plain,
~ gt(tptp_minus_1,n0),
inference(resolution,[status(thm)],[f1228,f105]) ).
fof(f1480,plain,
! [X0] :
( ~ leq(X0,tptp_minus_1)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f1228,f95]) ).
fof(f1575,plain,
! [X0] :
( a_select3(simplex7_init,sK40_skl(X0),X0) != s_best7_init
| ~ sP9_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f251,f459]) ).
fof(f1589,plain,
! [X0] :
( gt(X0,n2)
| ~ gt(X0,n5) ),
inference(resolution,[status(thm)],[f288,f90]) ).
fof(f1711,definition,
( sQ88_spl
<=> sP10_prd(n0) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1717,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n1,X0) ),
inference(resolution,[status(thm)],[f1371,f95]) ).
fof(f1718,plain,
! [X0] :
( a_select2(s_values7_init,X0) != s_best7_init
| ~ sP10_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f251,f465]) ).
fof(f1724,plain,
( sQ70_spl
| s_best7 = n1
| gt(s_best7,n1) ),
inference(resolution,[status(thm)],[f1386,f87]) ).
fof(f1725,definition,
( sQ89_spl
<=> gt(s_best7,n1) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1726,plain,
( ~ sQ89_spl
| gt(s_best7,n1) ),
inference(component_clause,[status(thm)],[f1725]) ).
fof(f1728,plain,
( sQ70_spl
| sQ71_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1724,f1725,f1017,f1014]) ).
fof(f1738,plain,
! [X0] :
( ~ sQ76_spl
| leq(X0,n2)
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f1069,f95]) ).
fof(f1740,definition,
( sQ90_spl
<=> gt(n2,n0) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1747,definition,
( sQ91_spl
<=> leq(n1,n0) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1751,definition,
( sQ92_spl
<=> gt(n1,n0) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1755,plain,
! [X0] :
( sQ72_spl
| ~ gt(X0,n2)
| ~ gt(n1,X0) ),
inference(resolution,[status(thm)],[f1444,f90]) ).
fof(f1757,definition,
( sQ93_spl
<=> gt(n2,n1) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1761,plain,
! [X0] :
( sQ65_spl
| ~ gt(X0,n2)
| ~ gt(n0,X0) ),
inference(resolution,[status(thm)],[f1446,f90]) ).
fof(f1762,plain,
( sQ65_spl
| n2 = n0
| gt(n2,n0) ),
inference(resolution,[status(thm)],[f1446,f87]) ).
fof(f1763,plain,
( sQ65_spl
| sQ66_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1762,f1740,f988,f985]) ).
fof(f1767,plain,
! [X0] :
( ~ gt(X0,n1)
| ~ gt(n0,X0) ),
inference(resolution,[status(thm)],[f1458,f90]) ).
fof(f1768,plain,
( n1 = n0
| gt(n1,n0) ),
inference(resolution,[status(thm)],[f1458,f87]) ).
fof(f1769,plain,
( sQ75_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1768,f1751,f1031]) ).
fof(f1836,plain,
! [X0] :
( ~ gt(X0,n0)
| ~ gt(tptp_minus_1,X0) ),
inference(resolution,[status(thm)],[f1460,f90]) ).
fof(f1837,plain,
( n0 = tptp_minus_1
| gt(n0,tptp_minus_1) ),
inference(resolution,[status(thm)],[f1460,f87]) ).
fof(f1838,definition,
( sQ94_spl
<=> gt(n0,tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1841,definition,
( sQ95_spl
<=> n0 = tptp_minus_1 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1842,plain,
( ~ sQ95_spl
| n0 = tptp_minus_1 ),
inference(component_clause,[status(thm)],[f1841]) ).
fof(f1844,plain,
( sQ95_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f1837,f1838,f1841]) ).
fof(f1857,plain,
( ~ sQ95_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f1842,f274]) ).
fof(f1862,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1857,f91]) ).
fof(f1863,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1862]) ).
fof(f1872,plain,
! [X0] :
( a_select2(s_center7_init,X0) != s_best7_init
| ~ sP11_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f251,f471]) ).
fof(f1942,plain,
! [X0] :
( X0 = n0
| ~ leq(X0,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f476,f297]) ).
fof(f1946,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ leq(X1,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f476,f95]) ).
fof(f1949,plain,
! [X0] :
( gt(n2,X0)
| X0 = n2
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f477,f107]) ).
fof(f1956,plain,
( ~ sQ89_spl
| ~ sQ71_spl
| gt(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f1018,f1726]) ).
fof(f1957,plain,
( ~ sQ89_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1956,f91]) ).
fof(f1958,plain,
( ~ sQ89_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1957]) ).
fof(f1960,plain,
( sQ30_spl
| ~ sQ54_spl
| ~ leq(a_select2(s_values7,n2),a_select2(s_values7,s_sworst7)) ),
inference(forward_demodulation,[status(thm)],[f797,f617]) ).
fof(f2012,plain,
! [X0,X1] :
( leq(X1,sK41_skl(X0))
| ~ leq(X1,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f478,f95]) ).
fof(f2020,plain,
( sQ23_spl
| ~ gt(s_best7,n0) ),
inference(resolution,[status(thm)],[f594,f105]) ).
fof(f2022,plain,
( sQ23_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2020,f820,f592]) ).
fof(f2023,plain,
( ~ sQ30_spl
| ~ sQ54_spl
| ~ sQ58_spl
| leq(a_select2(s_values7,n2),a_select2(s_values7,n0)) ),
inference(forward_demodulation,[status(thm)],[f811,f1058]) ).
fof(f2026,plain,
! [X0] :
( a_select3(simplex7_init,sK41_skl(X0),X0) != s_best7_init
| ~ sP12_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f251,f480]) ).
fof(f2125,definition,
( sQ98_spl
<=> sP13_prd(n0) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f2194,plain,
! [X0] :
( a_select2(s_values7_init,X0) != s_best7_init
| ~ sP13_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f251,f486]) ).
fof(f2206,plain,
! [X0] :
( X0 = n0
| ~ leq(X0,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f497,f297]) ).
fof(f2210,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ leq(X1,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f497,f95]) ).
fof(f2218,plain,
! [X0] :
( a_select2(s_center7_init,X0) != s_best7_init
| ~ sP14_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f251,f492]) ).
fof(f2227,plain,
! [X0] :
( gt(n2,X0)
| X0 = n2
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f498,f107]) ).
fof(f2257,definition,
( sQ101_spl
<=> sP16_prd(n0) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f2284,plain,
! [X0,X1] :
( leq(X1,sK42_skl(X0))
| ~ leq(X1,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f499,f95]) ).
fof(f2291,plain,
~ gt(tptp_minus_1,n1),
inference(resolution,[status(thm)],[f736,f275]) ).
fof(f2294,plain,
~ gt(tptp_minus_1,n3),
inference(resolution,[status(thm)],[f736,f277]) ).
fof(f2297,plain,
( ~ sQ47_spl
| ~ sQ54_spl
| ~ gt(n2,n3) ),
inference(resolution,[status(thm)],[f736,f1048]) ).
fof(f2298,plain,
~ gt(tptp_minus_1,n2),
inference(resolution,[status(thm)],[f736,f276]) ).
fof(f2300,plain,
~ gt(n1,n2),
inference(resolution,[status(thm)],[f736,f285]) ).
fof(f2301,plain,
~ gt(tptp_minus_1,n4),
inference(resolution,[status(thm)],[f736,f272]) ).
fof(f2302,plain,
~ gt(n3,n4),
inference(resolution,[status(thm)],[f736,f290]) ).
fof(f2303,plain,
~ gt(n2,n4),
inference(resolution,[status(thm)],[f736,f287]) ).
fof(f2304,plain,
~ gt(n1,n4),
inference(resolution,[status(thm)],[f736,f283]) ).
fof(f2305,plain,
~ gt(n0,n4),
inference(resolution,[status(thm)],[f736,f278]) ).
fof(f2306,plain,
~ gt(tptp_minus_1,n5),
inference(resolution,[status(thm)],[f736,f273]) ).
fof(f2307,plain,
~ gt(n3,n5),
inference(resolution,[status(thm)],[f736,f291]) ).
fof(f2308,plain,
~ gt(n2,n5),
inference(resolution,[status(thm)],[f736,f288]) ).
fof(f2309,plain,
~ gt(n1,n5),
inference(resolution,[status(thm)],[f736,f284]) ).
fof(f2310,plain,
~ gt(n0,n5),
inference(resolution,[status(thm)],[f736,f279]) ).
fof(f2311,plain,
~ gt(n4,n5),
inference(resolution,[status(thm)],[f736,f271]) ).
fof(f2321,plain,
( n1 = tptp_minus_1
| gt(n1,tptp_minus_1) ),
inference(resolution,[status(thm)],[f2291,f87]) ).
fof(f2322,definition,
( sQ103_spl
<=> gt(n1,tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f2325,definition,
( sQ104_spl
<=> n1 = tptp_minus_1 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f2326,plain,
( ~ sQ104_spl
| n1 = tptp_minus_1 ),
inference(component_clause,[status(thm)],[f2325]) ).
fof(f2327,plain,
( sQ104_spl
| n1 != tptp_minus_1 ),
inference(component_clause,[status(thm)],[f2325]) ).
fof(f2328,plain,
( sQ104_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2321,f2322,f2325]) ).
fof(f2337,plain,
( ~ sQ104_spl
| gt(tptp_minus_1,tptp_minus_1) ),
inference(backward_demodulation,[status(thm)],[f2326,f275]) ).
fof(f2353,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2337,f91]) ).
fof(f2354,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f2353]) ).
fof(f2355,plain,
! [X0] : plus(n2,X0) = plus(X0,n2),
inference(paramodulation,[status(thm)],[f202,f203]) ).
fof(f2369,plain,
! [X0] : plus(X0,n3) = plus(n2,succ(X0)),
inference(forward_demodulation,[status(thm)],[f203,f204]) ).
fof(f2374,plain,
! [X0] : plus(n3,X0) = plus(n2,succ(X0)),
inference(forward_demodulation,[status(thm)],[f203,f205]) ).
fof(f2375,plain,
! [X0] : plus(n3,X0) = plus(X0,n3),
inference(paramodulation,[status(thm)],[f2369,f2374]) ).
fof(f2390,plain,
! [X0] :
( a_select3(simplex7_init,sK42_skl(X0),X0) != s_best7_init
| ~ sP15_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f251,f501]) ).
fof(f2395,plain,
! [X0] :
( ~ gt(X0,n3)
| ~ gt(tptp_minus_1,X0) ),
inference(resolution,[status(thm)],[f2294,f90]) ).
fof(f2396,plain,
( n3 = tptp_minus_1
| gt(n3,tptp_minus_1) ),
inference(resolution,[status(thm)],[f2294,f87]) ).
fof(f2397,definition,
( sQ105_spl
<=> gt(n3,tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f2400,definition,
( sQ106_spl
<=> n3 = tptp_minus_1 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f2401,plain,
( ~ sQ106_spl
| n3 = tptp_minus_1 ),
inference(component_clause,[status(thm)],[f2400]) ).
fof(f2402,plain,
( sQ106_spl
| n3 != tptp_minus_1 ),
inference(component_clause,[status(thm)],[f2400]) ).
fof(f2403,plain,
( sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f2396,f2397,f2400]) ).
fof(f2405,plain,
( ~ sQ47_spl
| ~ sQ54_spl
| ~ sQ106_spl
| ~ gt(n2,tptp_minus_1) ),
inference(backward_demodulation,[status(thm)],[f2401,f2297]) ).
fof(f2438,plain,
( ~ sQ47_spl
| ~ sQ54_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2405,f276]) ).
fof(f2439,plain,
( ~ sQ47_spl
| ~ sQ54_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f2438]) ).
fof(f2440,plain,
! [X0,X1] :
( a_select3(simplex7_init,X1,X0) = s_best7_init
| ~ leq(X1,n3)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(n0,X0)
| sP15_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f251,f502]) ).
fof(f2442,plain,
! [X0] :
( ~ sP12_prd(X0)
| ~ leq(sK41_skl(X0),n3)
| ~ leq(n0,sK41_skl(X0))
| ~ leq(X0,n2)
| ~ leq(n0,X0)
| sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2440,f2026]) ).
fof(f2443,plain,
! [X0] :
( ~ sP9_prd(X0)
| ~ leq(sK40_skl(X0),n3)
| ~ leq(n0,sK40_skl(X0))
| ~ leq(X0,n2)
| ~ leq(n0,X0)
| sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2440,f1575]) ).
fof(f2444,plain,
! [X0] :
( ~ sP4_prd(X0)
| ~ leq(sK36_skl(X0),n3)
| ~ leq(n0,sK36_skl(X0))
| ~ leq(X0,n2)
| ~ leq(n0,X0)
| sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2440,f1137]) ).
fof(f2445,plain,
! [X0] :
( ~ sP12_prd(X0)
| ~ leq(sK41_skl(X0),n3)
| ~ leq(n0,sK41_skl(X0))
| ~ leq(X0,n2)
| sP15_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2442,f476]) ).
fof(f2446,plain,
! [X0] :
( ~ sP9_prd(X0)
| ~ leq(sK40_skl(X0),n3)
| ~ leq(n0,sK40_skl(X0))
| ~ leq(X0,n2)
| sP15_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2443,f455]) ).
fof(f2447,plain,
! [X0] :
( ~ sP4_prd(X0)
| ~ leq(sK36_skl(X0),n3)
| ~ leq(n0,sK36_skl(X0))
| ~ leq(X0,n2)
| sP15_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2444,f402]) ).
fof(f2448,plain,
! [X0] :
( a_select2(s_values7_init,X0) != s_best7_init
| ~ sP16_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f251,f507]) ).
fof(f2450,plain,
( n2 = tptp_minus_1
| gt(n2,tptp_minus_1) ),
inference(resolution,[status(thm)],[f2298,f87]) ).
fof(f2451,definition,
( sQ107_spl
<=> gt(n2,tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f2454,definition,
( sQ108_spl
<=> n2 = tptp_minus_1 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f2455,plain,
( ~ sQ108_spl
| n2 = tptp_minus_1 ),
inference(component_clause,[status(thm)],[f2454]) ).
fof(f2456,plain,
( sQ108_spl
| n2 != tptp_minus_1 ),
inference(component_clause,[status(thm)],[f2454]) ).
fof(f2457,plain,
( sQ108_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f2450,f2451,f2454]) ).
fof(f2470,plain,
( ~ sQ108_spl
| gt(tptp_minus_1,tptp_minus_1) ),
inference(backward_demodulation,[status(thm)],[f2455,f276]) ).
fof(f2492,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2470,f91]) ).
fof(f2493,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f2492]) ).
fof(f2495,plain,
( n2 = n1
| gt(n2,n1) ),
inference(resolution,[status(thm)],[f2300,f87]) ).
fof(f2496,plain,
( sQ73_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f2495,f1757,f1024]) ).
fof(f2548,plain,
! [X0] :
( ~ gt(X0,n4)
| ~ gt(tptp_minus_1,X0) ),
inference(resolution,[status(thm)],[f2301,f90]) ).
fof(f2549,plain,
( n4 = tptp_minus_1
| gt(n4,tptp_minus_1) ),
inference(resolution,[status(thm)],[f2301,f87]) ).
fof(f2550,definition,
( sQ109_spl
<=> gt(n4,tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f2553,definition,
( sQ110_spl
<=> n4 = tptp_minus_1 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f2554,plain,
( ~ sQ110_spl
| n4 = tptp_minus_1 ),
inference(component_clause,[status(thm)],[f2553]) ).
fof(f2556,plain,
( sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2549,f2550,f2553]) ).
fof(f2561,plain,
( ~ sQ110_spl
| gt(tptp_minus_1,tptp_minus_1) ),
inference(backward_demodulation,[status(thm)],[f2554,f272]) ).
fof(f2564,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2561,f91]) ).
fof(f2565,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f2564]) ).
fof(f2566,plain,
! [X0] :
( ~ gt(X0,n4)
| ~ gt(n3,X0) ),
inference(resolution,[status(thm)],[f2302,f90]) ).
fof(f2567,plain,
( n4 = n3
| gt(n4,n3) ),
inference(resolution,[status(thm)],[f2302,f87]) ).
fof(f2568,definition,
( sQ111_spl
<=> gt(n4,n3) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f2571,definition,
( sQ112_spl
<=> n4 = n3 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f2572,plain,
( ~ sQ112_spl
| n4 = n3 ),
inference(component_clause,[status(thm)],[f2571]) ).
fof(f2573,plain,
( sQ112_spl
| n4 != n3 ),
inference(component_clause,[status(thm)],[f2571]) ).
fof(f2574,plain,
( sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f2567,f2568,f2571]) ).
fof(f2581,plain,
! [X0] :
( a_select2(s_center7_init,X0) != s_best7_init
| ~ sP17_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f251,f513]) ).
fof(f2590,plain,
! [X0] :
( ~ gt(X0,n4)
| ~ gt(n1,X0) ),
inference(resolution,[status(thm)],[f2304,f90]) ).
fof(f2591,plain,
( n4 = n1
| gt(n4,n1) ),
inference(resolution,[status(thm)],[f2304,f87]) ).
fof(f2592,definition,
( sQ113_spl
<=> gt(n4,n1) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f2595,definition,
( sQ114_spl
<=> n4 = n1 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f2596,plain,
( ~ sQ114_spl
| n4 = n1 ),
inference(component_clause,[status(thm)],[f2595]) ).
fof(f2597,plain,
( sQ114_spl
| n4 != n1 ),
inference(component_clause,[status(thm)],[f2595]) ).
fof(f2598,plain,
( sQ114_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f2591,f2592,f2595]) ).
fof(f2605,plain,
! [X0] :
( ~ gt(X0,n5)
| ~ gt(tptp_minus_1,X0) ),
inference(resolution,[status(thm)],[f2306,f90]) ).
fof(f2606,plain,
( n5 = tptp_minus_1
| gt(n5,tptp_minus_1) ),
inference(resolution,[status(thm)],[f2306,f87]) ).
fof(f2607,definition,
( sQ115_spl
<=> gt(n5,tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f2610,definition,
( sQ116_spl
<=> n5 = tptp_minus_1 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f2611,plain,
( ~ sQ116_spl
| n5 = tptp_minus_1 ),
inference(component_clause,[status(thm)],[f2610]) ).
fof(f2613,plain,
( sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f2606,f2607,f2610]) ).
fof(f2615,plain,
( ~ sQ116_spl
| gt(tptp_minus_1,tptp_minus_1) ),
inference(backward_demodulation,[status(thm)],[f2611,f273]) ).
fof(f2617,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2615,f91]) ).
fof(f2618,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f2617]) ).
fof(f2619,plain,
! [X0] :
( ~ gt(X0,n5)
| ~ gt(n3,X0) ),
inference(resolution,[status(thm)],[f2307,f90]) ).
fof(f2620,plain,
( n5 = n3
| gt(n5,n3) ),
inference(resolution,[status(thm)],[f2307,f87]) ).
fof(f2621,definition,
( sQ117_spl
<=> gt(n5,n3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f2624,definition,
( sQ118_spl
<=> n5 = n3 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f2625,plain,
( ~ sQ118_spl
| n5 = n3 ),
inference(component_clause,[status(thm)],[f2624]) ).
fof(f2626,plain,
( sQ118_spl
| n5 != n3 ),
inference(component_clause,[status(thm)],[f2624]) ).
fof(f2627,plain,
( sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f2620,f2621,f2624]) ).
fof(f2644,plain,
! [X0,X1] :
( ~ leq(succ(X0),X1)
| leq(X0,X1) ),
inference(resolution,[status(thm)],[f215,f114]) ).
fof(f2670,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ gt(a_select2(s_values7,n2),a_select2(s_values7,s_best7)) ),
inference(forward_demodulation,[status(thm)],[f797,f547]) ).
fof(f2672,plain,
( sQ9_spl
| ~ sQ54_spl
| a_select2(s_values7,s_best7) = a_select2(s_values7,n2)
| gt(a_select2(s_values7,s_best7),a_select2(s_values7,n2)) ),
inference(resolution,[status(thm)],[f2670,f87]) ).
fof(f2673,definition,
( sQ119_spl
<=> gt(a_select2(s_values7,s_best7),a_select2(s_values7,n2)) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f2674,plain,
( ~ sQ119_spl
| gt(a_select2(s_values7,s_best7),a_select2(s_values7,n2)) ),
inference(component_clause,[status(thm)],[f2673]) ).
fof(f2676,definition,
( sQ120_spl
<=> a_select2(s_values7,s_best7) = a_select2(s_values7,n2) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f2679,plain,
( sQ9_spl
| ~ sQ54_spl
| sQ120_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f2672,f2673,f2676,f796,f545]) ).
fof(f2684,plain,
! [X0] :
( ~ gt(X0,n5)
| ~ gt(n1,X0) ),
inference(resolution,[status(thm)],[f2309,f90]) ).
fof(f2685,plain,
( n5 = n1
| gt(n5,n1) ),
inference(resolution,[status(thm)],[f2309,f87]) ).
fof(f2686,definition,
( sQ121_spl
<=> gt(n5,n1) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f2687,plain,
( ~ sQ121_spl
| gt(n5,n1) ),
inference(component_clause,[status(thm)],[f2686]) ).
fof(f2689,definition,
( sQ122_spl
<=> n5 = n1 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f2690,plain,
( ~ sQ122_spl
| n5 = n1 ),
inference(component_clause,[status(thm)],[f2689]) ).
fof(f2691,plain,
( sQ122_spl
| n5 != n1 ),
inference(component_clause,[status(thm)],[f2689]) ).
fof(f2692,plain,
( sQ122_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f2685,f2686,f2689]) ).
fof(f2698,plain,
! [X0] :
( ~ sP17_prd(X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f875,f2581]) ).
fof(f2699,plain,
! [X0] :
( ~ sP14_prd(X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f875,f2218]) ).
fof(f2700,plain,
! [X0] :
( ~ sP11_prd(X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f875,f1872]) ).
fof(f2701,plain,
! [X0] :
( ~ sP6_prd(X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f875,f1350]) ).
fof(f2702,plain,
! [X0] :
( ~ sP17_prd(X0)
| ~ leq(X0,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2698,f511]) ).
fof(f2703,plain,
! [X0] :
( ~ sP14_prd(X0)
| ~ leq(X0,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2699,f490]) ).
fof(f2704,plain,
! [X0] :
( ~ sP11_prd(X0)
| ~ leq(X0,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2700,f469]) ).
fof(f2705,plain,
! [X0] :
( ~ sP6_prd(X0)
| ~ leq(X0,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2701,f416]) ).
fof(f2706,plain,
! [X0] :
( ~ sP16_prd(X0)
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f874,f2448]) ).
fof(f2707,plain,
! [X0] :
( ~ sP13_prd(X0)
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f874,f2194]) ).
fof(f2708,plain,
! [X0] :
( ~ sP10_prd(X0)
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f874,f1718]) ).
fof(f2709,plain,
! [X0] :
( ~ sP5_prd(X0)
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f874,f1238]) ).
fof(f2710,plain,
! [X0] :
( ~ sP16_prd(X0)
| ~ leq(X0,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2706,f505]) ).
fof(f2711,plain,
! [X0] :
( ~ sP13_prd(X0)
| ~ leq(X0,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2707,f484]) ).
fof(f2712,plain,
! [X0] :
( ~ sP10_prd(X0)
| ~ leq(X0,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2708,f463]) ).
fof(f2713,plain,
! [X0] :
( ~ sP5_prd(X0)
| ~ leq(X0,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2709,f410]) ).
fof(f2741,plain,
~ gt(n0,n1),
inference(paramodulation,[status(thm)],[f955,f1459]) ).
fof(f2769,plain,
! [X0] :
( ~ sP15_prd(X0)
| ~ leq(sK42_skl(X0),n3)
| ~ leq(n0,sK42_skl(X0))
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f865,f2390]) ).
fof(f2773,plain,
! [X0] :
( ~ sP15_prd(X0)
| ~ leq(sK42_skl(X0),n3)
| ~ leq(n0,sK42_skl(X0))
| ~ leq(X0,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2769,f497]) ).
fof(f2788,plain,
! [X0] :
( gt(n2,X0)
| ~ sP4_prd(succ(X0)) ),
inference(resolution,[status(thm)],[f403,f218]) ).
fof(f2796,plain,
( s_best7 = n3
| s_best7 = n2
| s_best7 = n1
| s_best7 = n0
| ~ leq(s_best7,n3) ),
inference(resolution,[status(thm)],[f303,f254]) ).
fof(f2819,definition,
( sQ123_spl
<=> leq(n1,n3) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f2820,plain,
( ~ sQ123_spl
| leq(n1,n3) ),
inference(component_clause,[status(thm)],[f2819]) ).
fof(f2821,plain,
( sQ123_spl
| ~ leq(n1,n3) ),
inference(component_clause,[status(thm)],[f2819]) ).
fof(f2822,definition,
( sQ124_spl
<=> n1 = n1 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f2826,definition,
( sQ125_spl
<=> s_best7 = n2 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f2827,plain,
( ~ sQ125_spl
| s_best7 = n2 ),
inference(component_clause,[status(thm)],[f2826]) ).
fof(f2829,plain,
( sQ52_spl
| sQ125_spl
| sQ71_spl
| sQ60_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2796,f595,f817,f1017,f2826,f789]) ).
fof(f2830,definition,
( sQ126_spl
<=> leq(n2,n3) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f2831,plain,
( ~ sQ126_spl
| leq(n2,n3) ),
inference(component_clause,[status(thm)],[f2830]) ).
fof(f2832,plain,
( sQ126_spl
| ~ leq(n2,n3) ),
inference(component_clause,[status(thm)],[f2830]) ).
fof(f2833,definition,
( sQ127_spl
<=> n2 = n2 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f2853,plain,
( ~ sQ73_spl
| gt(n1,n1) ),
inference(backward_demodulation,[status(thm)],[f1025,f285]) ).
fof(f2860,plain,
( ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2853,f91]) ).
fof(f2861,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f2860]) ).
fof(f2862,plain,
( ~ sQ52_spl
| ~ sQ71_spl
| n1 = n3 ),
inference(forward_demodulation,[status(thm)],[f1018,f790]) ).
fof(f2863,plain,
( ~ sQ52_spl
| ~ sQ71_spl
| sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2862,f1276]) ).
fof(f2864,plain,
( ~ sQ52_spl
| ~ sQ71_spl
| sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f2863]) ).
fof(f2872,plain,
( sQ6_spl
| ~ sQ125_spl
| a_select2(s_values7_init,n2) != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f2827,f841]) ).
fof(f2873,plain,
( sQ6_spl
| ~ sQ125_spl
| ~ leq(n2,n3)
| ~ leq(n0,n2) ),
inference(resolution,[status(thm)],[f2872,f874]) ).
fof(f2874,plain,
( sQ6_spl
| ~ sQ125_spl
| ~ sQ126_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f2873,f1068,f2830,f2826,f536]) ).
fof(f2876,plain,
( sQ13_spl
| ~ sQ56_spl
| ~ leq(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f804,f560]) ).
fof(f2877,plain,
( sQ13_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2876,f92]) ).
fof(f2878,plain,
( sQ13_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2877]) ).
fof(f2906,definition,
( sQ128_spl
<=> leq(n1,n2) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f2907,plain,
( ~ sQ128_spl
| leq(n1,n2) ),
inference(component_clause,[status(thm)],[f2906]) ).
fof(f2908,plain,
( sQ128_spl
| ~ leq(n1,n2) ),
inference(component_clause,[status(thm)],[f2906]) ).
fof(f2936,definition,
( sQ129_spl
<=> leq(n1,n1) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f2938,plain,
( sQ129_spl
| ~ leq(n1,n1) ),
inference(component_clause,[status(thm)],[f2936]) ).
fof(f2941,plain,
( sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2938,f92]) ).
fof(f2942,plain,
sQ129_spl,
inference(contradiction_clause,[status(thm)],[f2941]) ).
fof(f2943,plain,
( ~ sQ122_spl
| gt(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f2690,f284]) ).
fof(f2944,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2943,f91]) ).
fof(f2945,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f2944]) ).
fof(f2946,plain,
( ~ sQ114_spl
| gt(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f2596,f283]) ).
fof(f2947,plain,
( ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2946,f91]) ).
fof(f2948,plain,
~ sQ114_spl,
inference(contradiction_clause,[status(thm)],[f2947]) ).
fof(f2958,definition,
( sQ130_spl
<=> leq(n3,n1) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f2962,definition,
( sQ131_spl
<=> leq(n3,n2) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f2993,plain,
succ(n1) = n2,
inference(forward_demodulation,[status(thm)],[f306,f307]) ).
fof(f3000,plain,
~ leq(n2,n1),
inference(paramodulation,[status(thm)],[f2993,f892]) ).
fof(f3004,plain,
pred(n2) = n1,
inference(paramodulation,[status(thm)],[f2993,f211]) ).
fof(f3006,plain,
~ gt(n3,n4),
inference(resolution,[status(thm)],[f290,f736]) ).
fof(f3008,plain,
~ gt(n3,n5),
inference(resolution,[status(thm)],[f291,f736]) ).
fof(f3021,definition,
( sQ132_spl
<=> leq(n2,n2) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f3023,plain,
( sQ132_spl
| ~ leq(n2,n2) ),
inference(component_clause,[status(thm)],[f3021]) ).
fof(f3027,plain,
( sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3023,f92]) ).
fof(f3028,plain,
sQ132_spl,
inference(contradiction_clause,[status(thm)],[f3027]) ).
fof(f3029,plain,
~ gt(n2,n4),
inference(resolution,[status(thm)],[f287,f736]) ).
fof(f3031,plain,
~ gt(n2,n5),
inference(resolution,[status(thm)],[f288,f736]) ).
fof(f3059,plain,
( n4 = n2
| gt(n4,n2) ),
inference(resolution,[status(thm)],[f2303,f87]) ).
fof(f3060,definition,
( sQ133_spl
<=> gt(n4,n2) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f3063,definition,
( sQ134_spl
<=> n4 = n2 ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f3064,plain,
( ~ sQ134_spl
| n4 = n2 ),
inference(component_clause,[status(thm)],[f3063]) ).
fof(f3065,plain,
( sQ134_spl
| n4 != n2 ),
inference(component_clause,[status(thm)],[f3063]) ).
fof(f3066,plain,
( sQ134_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f3059,f3060,f3063]) ).
fof(f3069,plain,
( ~ sQ134_spl
| gt(n2,n2) ),
inference(backward_demodulation,[status(thm)],[f3064,f287]) ).
fof(f3073,plain,
( ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3069,f91]) ).
fof(f3074,plain,
~ sQ134_spl,
inference(contradiction_clause,[status(thm)],[f3073]) ).
fof(f3083,plain,
~ gt(n4,n5),
inference(resolution,[status(thm)],[f271,f736]) ).
fof(f3132,definition,
( sQ135_spl
<=> leq(n2,n4) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f3133,plain,
( ~ sQ135_spl
| leq(n2,n4) ),
inference(component_clause,[status(thm)],[f3132]) ).
fof(f3134,plain,
( sQ135_spl
| ~ leq(n2,n4) ),
inference(component_clause,[status(thm)],[f3132]) ).
fof(f3136,definition,
( sQ136_spl
<=> leq(n1,n4) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f3137,plain,
( ~ sQ136_spl
| leq(n1,n4) ),
inference(component_clause,[status(thm)],[f3136]) ).
fof(f3138,plain,
( sQ136_spl
| ~ leq(n1,n4) ),
inference(component_clause,[status(thm)],[f3136]) ).
fof(f3140,definition,
( sQ137_spl
<=> leq(n3,n4) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f3141,plain,
( ~ sQ137_spl
| leq(n3,n4) ),
inference(component_clause,[status(thm)],[f3140]) ).
fof(f3142,plain,
( sQ137_spl
| ~ leq(n3,n4) ),
inference(component_clause,[status(thm)],[f3140]) ).
fof(f3143,definition,
( sQ138_spl
<=> n3 = n3 ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f3150,definition,
( sQ140_spl
<=> n0 = n4 ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f3151,plain,
( ~ sQ140_spl
| n0 = n4 ),
inference(component_clause,[status(thm)],[f3150]) ).
fof(f3155,plain,
( sQ126_spl
| ~ gt(n3,n2) ),
inference(resolution,[status(thm)],[f2832,f105]) ).
fof(f3174,plain,
( ~ sQ140_spl
| ~ gt(n3,n0) ),
inference(backward_demodulation,[status(thm)],[f3151,f2302]) ).
fof(f3183,plain,
( ~ sQ140_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3174,f1208]) ).
fof(f3184,plain,
( ~ sQ140_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f3183]) ).
fof(f3268,definition,
( sQ141_spl
<=> leq(n2,n5) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f3269,plain,
( ~ sQ141_spl
| leq(n2,n5) ),
inference(component_clause,[status(thm)],[f3268]) ).
fof(f3270,plain,
( sQ141_spl
| ~ leq(n2,n5) ),
inference(component_clause,[status(thm)],[f3268]) ).
fof(f3271,definition,
( sQ142_spl
<=> n2 = n5 ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f3272,plain,
( ~ sQ142_spl
| n2 = n5 ),
inference(component_clause,[status(thm)],[f3271]) ).
fof(f3273,plain,
( sQ142_spl
| n2 != n5 ),
inference(component_clause,[status(thm)],[f3271]) ).
fof(f3275,definition,
( sQ143_spl
<=> leq(n1,n5) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f3276,plain,
( ~ sQ143_spl
| leq(n1,n5) ),
inference(component_clause,[status(thm)],[f3275]) ).
fof(f3277,plain,
( sQ143_spl
| ~ leq(n1,n5) ),
inference(component_clause,[status(thm)],[f3275]) ).
fof(f3279,definition,
( sQ144_spl
<=> leq(n0,n5) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f3280,plain,
( ~ sQ144_spl
| leq(n0,n5) ),
inference(component_clause,[status(thm)],[f3279]) ).
fof(f3281,plain,
( sQ144_spl
| ~ leq(n0,n5) ),
inference(component_clause,[status(thm)],[f3279]) ).
fof(f3282,definition,
( sQ145_spl
<=> n0 = n5 ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f3283,plain,
( ~ sQ145_spl
| n0 = n5 ),
inference(component_clause,[status(thm)],[f3282]) ).
fof(f3286,plain,
succ(succ(succ(n1))) = n4,
inference(forward_demodulation,[status(thm)],[f306,f304]) ).
fof(f3287,plain,
succ(succ(n2)) = n4,
inference(forward_demodulation,[status(thm)],[f2993,f3286]) ).
fof(f3300,plain,
succ(succ(succ(succ(n1)))) = n5,
inference(forward_demodulation,[status(thm)],[f306,f305]) ).
fof(f3301,plain,
succ(succ(succ(n2))) = n5,
inference(forward_demodulation,[status(thm)],[f2993,f3300]) ).
fof(f3302,plain,
succ(n4) = n5,
inference(forward_demodulation,[status(thm)],[f3287,f3301]) ).
fof(f3308,plain,
~ gt(n4,n5),
inference(paramodulation,[status(thm)],[f3302,f1225]) ).
fof(f3313,plain,
pred(n5) = n4,
inference(paramodulation,[status(thm)],[f3302,f211]) ).
fof(f3338,plain,
( ~ sQ145_spl
| gt(n0,n2) ),
inference(backward_demodulation,[status(thm)],[f3283,f288]) ).
fof(f3341,plain,
( ~ sQ145_spl
| sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3338,f1446]) ).
fof(f3342,plain,
( ~ sQ145_spl
| sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f3341]) ).
fof(f3356,plain,
succ(succ(n1)) = n3,
inference(forward_demodulation,[status(thm)],[f306,f308]) ).
fof(f3365,plain,
succ(n2) = n3,
inference(forward_demodulation,[status(thm)],[f2993,f3356]) ).
fof(f3371,plain,
~ gt(n2,n3),
inference(paramodulation,[status(thm)],[f3365,f1225]) ).
fof(f3376,plain,
pred(n3) = n2,
inference(paramodulation,[status(thm)],[f3365,f211]) ).
fof(f3377,plain,
gt(n3,n2),
inference(paramodulation,[status(thm)],[f3365,f112]) ).
fof(f3409,plain,
( ~ sQ142_spl
| ~ gt(n3,n2) ),
inference(forward_demodulation,[status(thm)],[f3272,f2307]) ).
fof(f3411,plain,
( ~ sQ142_spl
| n2 = n3
| gt(n2,n3) ),
inference(resolution,[status(thm)],[f3409,f87]) ).
fof(f3412,definition,
( sQ146_spl
<=> gt(n2,n3) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f3413,plain,
( ~ sQ146_spl
| gt(n2,n3) ),
inference(component_clause,[status(thm)],[f3412]) ).
fof(f3415,plain,
( ~ sQ142_spl
| sQ85_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f3411,f3412,f1353,f3271]) ).
fof(f3581,plain,
( ~ sQ121_spl
| ~ gt(n1,n5) ),
inference(resolution,[status(thm)],[f2687,f736]) ).
fof(f3584,plain,
( sQ123_spl
| ~ gt(n3,n1) ),
inference(resolution,[status(thm)],[f2821,f105]) ).
fof(f3647,plain,
! [X0] :
( gt(n2,X0)
| ~ sP15_prd(succ(X0)) ),
inference(resolution,[status(thm)],[f498,f218]) ).
fof(f3658,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f597]) ).
fof(f3659,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f3658]) ).
fof(f3660,plain,
( ~ sQ6_spl
| a_select2(s_values7_init,s_best7) = s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f537]) ).
fof(f3671,plain,
( ~ sQ52_spl
| ~ sQ125_spl
| n2 = n3 ),
inference(forward_demodulation,[status(thm)],[f2827,f790]) ).
fof(f3700,plain,
( ~ sQ52_spl
| ~ sQ125_spl
| gt(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f3671,f289]) ).
fof(f3701,plain,
( ~ sQ52_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3700,f91]) ).
fof(f3702,plain,
( ~ sQ52_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3701]) ).
fof(f3725,plain,
! [X0] :
( gt(n2,X0)
| ~ sP12_prd(succ(X0)) ),
inference(resolution,[status(thm)],[f477,f218]) ).
fof(f3930,plain,
! [X0] :
( gt(n2,X0)
| ~ sP9_prd(succ(X0)) ),
inference(resolution,[status(thm)],[f456,f218]) ).
fof(f3989,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ gt(a_select2(s_values7,n2),a_select2(s_values7,s_best7)) ),
inference(forward_demodulation,[status(thm)],[f797,f547]) ).
fof(f4000,plain,
( sQ128_spl
| ~ gt(n2,n1) ),
inference(resolution,[status(thm)],[f2908,f105]) ).
fof(f4002,plain,
( sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4000,f285]) ).
fof(f4003,plain,
sQ128_spl,
inference(contradiction_clause,[status(thm)],[f4002]) ).
fof(f4005,plain,
( n5 = n0
| gt(n5,n0) ),
inference(resolution,[status(thm)],[f2310,f87]) ).
fof(f4006,definition,
( sQ147_spl
<=> gt(n5,n0) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f4009,plain,
( sQ145_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f4005,f4006,f3282]) ).
fof(f4193,plain,
( n5 = n4
| gt(n5,n4) ),
inference(resolution,[status(thm)],[f2311,f87]) ).
fof(f4194,definition,
( sQ148_spl
<=> gt(n5,n4) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f4197,definition,
( sQ149_spl
<=> n5 = n4 ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f4198,plain,
( ~ sQ149_spl
| n5 = n4 ),
inference(component_clause,[status(thm)],[f4197]) ).
fof(f4199,plain,
( sQ149_spl
| n5 != n4 ),
inference(component_clause,[status(thm)],[f4197]) ).
fof(f4200,plain,
( sQ149_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f4193,f4194,f4197]) ).
fof(f4209,plain,
( n4 = n0
| gt(n4,n0) ),
inference(resolution,[status(thm)],[f2305,f87]) ).
fof(f4210,definition,
( sQ150_spl
<=> gt(n4,n0) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f4213,plain,
( sQ140_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f4209,f4210,f3150]) ).
fof(f4249,definition,
( sQ151_spl
<=> leq(n3,n3) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f4251,plain,
( sQ151_spl
| ~ leq(n3,n3) ),
inference(component_clause,[status(thm)],[f4249]) ).
fof(f4263,plain,
( sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4251,f92]) ).
fof(f4264,plain,
sQ151_spl,
inference(contradiction_clause,[status(thm)],[f4263]) ).
fof(f4265,plain,
( sQ126_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f3155,f1356,f2830]) ).
fof(f4266,plain,
( ~ sQ6_spl
| ~ sQ125_spl
| a_select2(s_values7_init,n2) = s_best7_init ),
inference(forward_demodulation,[status(thm)],[f2827,f3660]) ).
fof(f4269,plain,
( ~ sQ9_spl
| ~ sQ54_spl
| gt(a_select2(s_values7,n2),a_select2(s_values7,s_best7)) ),
inference(forward_demodulation,[status(thm)],[f797,f546]) ).
fof(f4270,plain,
( ~ sQ9_spl
| ~ sQ54_spl
| ~ sQ125_spl
| gt(a_select2(s_values7,n2),a_select2(s_values7,n2)) ),
inference(forward_demodulation,[status(thm)],[f2827,f4269]) ).
fof(f4271,plain,
( ~ sQ9_spl
| ~ sQ54_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4270,f91]) ).
fof(f4272,plain,
( ~ sQ9_spl
| ~ sQ54_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f4271]) ).
fof(f4273,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| a_select2(s_values7_init,n2) = init ),
inference(forward_demodulation,[status(thm)],[f797,f540]) ).
fof(f4274,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| a_select2(s_values7_init,n2) = s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f4273]) ).
fof(f4275,plain,
( ~ sQ119_spl
| ~ sQ125_spl
| gt(a_select2(s_values7,n2),a_select2(s_values7,n2)) ),
inference(forward_demodulation,[status(thm)],[f2827,f2674]) ).
fof(f4276,plain,
( ~ sQ119_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4275,f91]) ).
fof(f4277,plain,
( ~ sQ119_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f4276]) ).
fof(f4278,plain,
( ~ sQ7_spl
| a_select2(s_values7_init,pv1388) = s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f540]) ).
fof(f4279,plain,
( sQ9_spl
| ~ sQ125_spl
| ~ gt(a_select2(s_values7,pv1388),a_select2(s_values7,n2)) ),
inference(forward_demodulation,[status(thm)],[f2827,f547]) ).
fof(f4407,plain,
( sQ137_spl
| ~ gt(n4,n3) ),
inference(resolution,[status(thm)],[f3142,f105]) ).
fof(f4424,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f260]) ).
fof(f4425,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f4424]) ).
fof(f4431,plain,
( s_sworst7 = n3
| s_sworst7 = n2
| s_sworst7 = n1
| s_sworst7 = n0
| ~ leq(s_sworst7,n3) ),
inference(resolution,[status(thm)],[f255,f303]) ).
fof(f4432,plain,
( s_sworst7 = n1
| s_sworst7 = n0
| ~ leq(s_sworst7,n1) ),
inference(resolution,[status(thm)],[f255,f299]) ).
fof(f4433,plain,
( s_sworst7 = n2
| s_sworst7 = n1
| s_sworst7 = n0
| ~ leq(s_sworst7,n2) ),
inference(resolution,[status(thm)],[f255,f301]) ).
fof(f4434,plain,
( s_sworst7 = n0
| ~ leq(s_sworst7,n0) ),
inference(resolution,[status(thm)],[f255,f297]) ).
fof(f4437,definition,
( sQ154_spl
<=> s_sworst7 = n1 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f4438,plain,
( ~ sQ154_spl
| s_sworst7 = n1 ),
inference(component_clause,[status(thm)],[f4437]) ).
fof(f4440,definition,
( sQ155_spl
<=> s_sworst7 = n2 ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f4441,plain,
( ~ sQ155_spl
| s_sworst7 = n2 ),
inference(component_clause,[status(thm)],[f4440]) ).
fof(f4443,plain,
( sQ50_spl
| sQ155_spl
| sQ154_spl
| sQ58_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f4431,f564,f810,f4437,f4440,f782]) ).
fof(f4444,definition,
( sQ156_spl
<=> leq(s_sworst7,n1) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f4446,plain,
( sQ156_spl
| ~ leq(s_sworst7,n1) ),
inference(component_clause,[status(thm)],[f4444]) ).
fof(f4447,plain,
( sQ154_spl
| sQ58_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f4432,f4444,f810,f4437]) ).
fof(f4448,definition,
( sQ157_spl
<=> leq(s_sworst7,n2) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f4450,plain,
( sQ157_spl
| ~ leq(s_sworst7,n2) ),
inference(component_clause,[status(thm)],[f4448]) ).
fof(f4451,plain,
( sQ155_spl
| sQ154_spl
| sQ58_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f4433,f4448,f810,f4437,f4440]) ).
fof(f4452,definition,
( sQ158_spl
<=> leq(s_sworst7,n0) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f4454,plain,
( sQ158_spl
| ~ leq(s_sworst7,n0) ),
inference(component_clause,[status(thm)],[f4452]) ).
fof(f4455,plain,
( sQ58_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f4434,f4452,f810]) ).
fof(f4461,plain,
( ~ sQ155_spl
| ~ sQ154_spl
| n1 = n2 ),
inference(forward_demodulation,[status(thm)],[f4438,f4441]) ).
fof(f4462,plain,
( ~ sQ155_spl
| ~ sQ154_spl
| sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4461,f1026]) ).
fof(f4463,plain,
( ~ sQ155_spl
| ~ sQ154_spl
| sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f4462]) ).
fof(f4464,plain,
( ~ sQ48_spl
| ~ sQ56_spl
| n0 = n3 ),
inference(forward_demodulation,[status(thm)],[f804,f776]) ).
fof(f4465,plain,
( ~ sQ48_spl
| ~ sQ56_spl
| sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4464,f1086]) ).
fof(f4466,plain,
( ~ sQ48_spl
| ~ sQ56_spl
| sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f4465]) ).
fof(f4469,plain,
~ gt(n0,n3),
inference(resolution,[status(thm)],[f282,f736]) ).
fof(f4684,definition,
! [X0] :
( sQ159_spl
<=> ~ leq(pred(X0),X0) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f4685,plain,
! [X0] :
( ~ sQ159_spl
| ~ leq(pred(X0),X0) ),
inference(component_clause,[status(thm)],[f4684]) ).
fof(f4714,plain,
( ~ sQ149_spl
| gt(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f4198,f271]) ).
fof(f4715,plain,
( ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4714,f91]) ).
fof(f4716,plain,
~ sQ149_spl,
inference(contradiction_clause,[status(thm)],[f4715]) ).
fof(f4760,plain,
( n3 = n2
| gt(n3,n2) ),
inference(resolution,[status(thm)],[f3371,f87]) ).
fof(f4761,plain,
( sQ85_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f4760,f1356,f1353]) ).
fof(f4797,plain,
( ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3413,f3371]) ).
fof(f4798,plain,
~ sQ146_spl,
inference(contradiction_clause,[status(thm)],[f4797]) ).
fof(f4812,plain,
plus(n2,n2) = n4,
inference(backward_demodulation,[status(thm)],[f203,f3287]) ).
fof(f4816,plain,
plus(n2,n0) = succ(n1),
inference(paramodulation,[status(thm)],[f306,f203]) ).
fof(f4834,plain,
plus(n2,n0) = n2,
inference(forward_demodulation,[status(thm)],[f2993,f4816]) ).
fof(f4841,plain,
plus(n0,n2) = succ(n1),
inference(paramodulation,[status(thm)],[f306,f202]) ).
fof(f4860,plain,
plus(n0,n2) = n2,
inference(forward_demodulation,[status(thm)],[f2993,f4841]) ).
fof(f4869,plain,
( n5 = n2
| gt(n5,n2) ),
inference(resolution,[status(thm)],[f2308,f87]) ).
fof(f4870,definition,
( sQ160_spl
<=> gt(n5,n2) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f4873,plain,
( sQ142_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f4869,f4870,f3271]) ).
fof(f4891,plain,
~ gt(n0,n5),
inference(resolution,[status(thm)],[f279,f736]) ).
fof(f4921,plain,
! [X0] : plus(n4,X0) = plus(succ(succ(X0)),n2),
inference(forward_demodulation,[status(thm)],[f202,f207]) ).
fof(f4922,plain,
! [X0] : plus(n4,X0) = plus(plus(X0,n2),n2),
inference(forward_demodulation,[status(thm)],[f202,f4921]) ).
fof(f4958,plain,
( sQ57_spl
| ~ sQ48_spl
| ~ gt(n3,n0) ),
inference(forward_demodulation,[status(thm)],[f776,f808]) ).
fof(f4959,plain,
( sQ57_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4958,f282]) ).
fof(f4960,plain,
( sQ57_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f4959]) ).
fof(f4962,plain,
( sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1209,f282]) ).
fof(f4963,plain,
sQ80_spl,
inference(contradiction_clause,[status(thm)],[f4962]) ).
fof(f4970,plain,
( ~ sQ78_spl
| gt(n0,n2) ),
inference(backward_demodulation,[status(thm)],[f1085,f3377]) ).
fof(f5121,definition,
( sQ161_spl
<=> leq(n3,n5) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f5122,plain,
( ~ sQ161_spl
| leq(n3,n5) ),
inference(component_clause,[status(thm)],[f5121]) ).
fof(f5123,plain,
( sQ161_spl
| ~ leq(n3,n5) ),
inference(component_clause,[status(thm)],[f5121]) ).
fof(f5141,plain,
( ~ sQ48_spl
| leq(n0,n3) ),
inference(forward_demodulation,[status(thm)],[f776,f256]) ).
fof(f5207,plain,
~ gt(n1,n3),
inference(resolution,[status(thm)],[f286,f736]) ).
fof(f5214,plain,
( ~ sQ6_spl
| ~ sQ125_spl
| s_best7_init != s_best7_init
| ~ sP16_prd(n2) ),
inference(paramodulation,[status(thm)],[f4266,f2448]) ).
fof(f5215,plain,
( ~ sQ6_spl
| ~ sQ125_spl
| s_best7_init != s_best7_init
| ~ sP13_prd(n2) ),
inference(paramodulation,[status(thm)],[f4266,f2194]) ).
fof(f5216,plain,
( ~ sQ6_spl
| ~ sQ125_spl
| s_best7_init != s_best7_init
| ~ sP10_prd(n2) ),
inference(paramodulation,[status(thm)],[f4266,f1718]) ).
fof(f5217,plain,
( ~ sQ6_spl
| ~ sQ125_spl
| s_best7_init != s_best7_init
| ~ sP5_prd(n2) ),
inference(paramodulation,[status(thm)],[f4266,f1238]) ).
fof(f5218,definition,
( sQ162_spl
<=> sP10_prd(n2) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f5221,definition,
( sQ163_spl
<=> s_best7_init = s_best7_init ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f5223,plain,
( sQ163_spl
| s_best7_init != s_best7_init ),
inference(component_clause,[status(thm)],[f5221]) ).
fof(f5225,definition,
( sQ164_spl
<=> sP16_prd(n2) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f5228,plain,
( ~ sQ6_spl
| ~ sQ125_spl
| ~ sQ163_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f5214,f5225,f5221,f2826,f536]) ).
fof(f5229,definition,
( sQ165_spl
<=> sP13_prd(n2) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f5232,plain,
( ~ sQ6_spl
| ~ sQ125_spl
| ~ sQ163_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f5215,f5229,f5221,f2826,f536]) ).
fof(f5233,plain,
( ~ sQ6_spl
| ~ sQ125_spl
| ~ sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f5216,f5218,f5221,f2826,f536]) ).
fof(f5234,definition,
( sQ166_spl
<=> sP5_prd(n2) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f5237,plain,
( ~ sQ6_spl
| ~ sQ125_spl
| ~ sQ163_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f5217,f5234,f5221,f2826,f536]) ).
fof(f5240,plain,
( ~ sQ7_spl
| ~ sQ46_spl
| a_select2(s_values7_init,n3) = s_best7_init ),
inference(forward_demodulation,[status(thm)],[f769,f4278]) ).
fof(f5246,plain,
( ~ sQ7_spl
| ~ sQ46_spl
| s_best7_init != s_best7_init
| ~ sP16_prd(n3) ),
inference(paramodulation,[status(thm)],[f5240,f2448]) ).
fof(f5247,plain,
( ~ sQ7_spl
| ~ sQ46_spl
| s_best7_init != s_best7_init
| ~ sP13_prd(n3) ),
inference(paramodulation,[status(thm)],[f5240,f2194]) ).
fof(f5248,plain,
( ~ sQ7_spl
| ~ sQ46_spl
| s_best7_init != s_best7_init
| ~ sP10_prd(n3) ),
inference(paramodulation,[status(thm)],[f5240,f1718]) ).
fof(f5249,plain,
( ~ sQ7_spl
| ~ sQ46_spl
| s_best7_init != s_best7_init
| ~ sP5_prd(n3) ),
inference(paramodulation,[status(thm)],[f5240,f1238]) ).
fof(f5250,definition,
( sQ167_spl
<=> sP10_prd(n3) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f5254,definition,
( sQ168_spl
<=> sP16_prd(n3) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f5257,plain,
( ~ sQ7_spl
| ~ sQ46_spl
| ~ sQ163_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f5246,f5254,f5221,f768,f539]) ).
fof(f5258,definition,
( sQ169_spl
<=> sP13_prd(n3) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f5261,plain,
( ~ sQ7_spl
| ~ sQ46_spl
| ~ sQ163_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f5247,f5258,f5221,f768,f539]) ).
fof(f5262,plain,
( ~ sQ7_spl
| ~ sQ46_spl
| ~ sQ163_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f5248,f5250,f5221,f768,f539]) ).
fof(f5263,definition,
( sQ170_spl
<=> sP5_prd(n3) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f5266,plain,
( ~ sQ7_spl
| ~ sQ46_spl
| ~ sQ163_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f5249,f5263,f5221,f768,f539]) ).
fof(f5275,plain,
( ~ sQ112_spl
| succ(n3) = n5 ),
inference(backward_demodulation,[status(thm)],[f2572,f3302]) ).
fof(f5305,plain,
( sQ9_spl
| ~ sQ125_spl
| a_select2(s_values7,n2) = a_select2(s_values7,pv1388)
| gt(a_select2(s_values7,n2),a_select2(s_values7,pv1388)) ),
inference(resolution,[status(thm)],[f4279,f87]) ).
fof(f5306,definition,
( sQ171_spl
<=> gt(a_select2(s_values7,n2),a_select2(s_values7,pv1388)) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f5307,plain,
( ~ sQ171_spl
| gt(a_select2(s_values7,n2),a_select2(s_values7,pv1388)) ),
inference(component_clause,[status(thm)],[f5306]) ).
fof(f5309,definition,
( sQ172_spl
<=> a_select2(s_values7,n2) = a_select2(s_values7,pv1388) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f5312,plain,
( sQ9_spl
| ~ sQ125_spl
| sQ172_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f5305,f5306,f5309,f2826,f545]) ).
fof(f5326,plain,
( sQ13_spl
| ~ sQ48_spl
| ~ leq(n0,n3) ),
inference(forward_demodulation,[status(thm)],[f776,f560]) ).
fof(f5327,plain,
( sQ13_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5326,f5141]) ).
fof(f5328,plain,
( sQ13_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f5327]) ).
fof(f5345,plain,
~ leq(n3,n2),
inference(paramodulation,[status(thm)],[f3365,f892]) ).
fof(f5363,plain,
( ~ sQ55_spl
| ~ gt(n2,pv1388) ),
inference(resolution,[status(thm)],[f800,f736]) ).
fof(f5420,plain,
( sQ144_spl
| ~ gt(n5,n0) ),
inference(resolution,[status(thm)],[f3281,f105]) ).
fof(f5426,plain,
plus(n0,n3) = plus(n2,n1),
inference(paramodulation,[status(thm)],[f306,f2369]) ).
fof(f5430,plain,
plus(n0,n3) = succ(n2),
inference(forward_demodulation,[status(thm)],[f200,f5426]) ).
fof(f5431,plain,
plus(n0,n3) = n3,
inference(forward_demodulation,[status(thm)],[f3365,f5430]) ).
fof(f5448,plain,
( sQ143_spl
| ~ gt(n5,n1) ),
inference(resolution,[status(thm)],[f3277,f105]) ).
fof(f5450,plain,
( sQ143_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5448,f2687]) ).
fof(f5451,plain,
( sQ143_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f5450]) ).
fof(f5452,plain,
( sQ141_spl
| ~ gt(n5,n2) ),
inference(resolution,[status(thm)],[f3270,f105]) ).
fof(f5486,plain,
( sQ136_spl
| ~ gt(n4,n1) ),
inference(resolution,[status(thm)],[f3138,f105]) ).
fof(f5488,plain,
( sQ135_spl
| ~ gt(n4,n2) ),
inference(resolution,[status(thm)],[f3134,f105]) ).
fof(f5490,plain,
( sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3584,f286]) ).
fof(f5491,plain,
sQ123_spl,
inference(contradiction_clause,[status(thm)],[f5490]) ).
fof(f5507,plain,
( sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4407,f290]) ).
fof(f5508,plain,
sQ137_spl,
inference(contradiction_clause,[status(thm)],[f5507]) ).
fof(f5510,plain,
( sQ158_spl
| ~ sQ58_spl
| ~ leq(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f811,f4454]) ).
fof(f5511,plain,
( sQ158_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5510,f92]) ).
fof(f5512,plain,
( sQ158_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f5511]) ).
fof(f5523,plain,
( sQ157_spl
| ~ sQ58_spl
| ~ leq(n0,n2) ),
inference(forward_demodulation,[status(thm)],[f811,f4450]) ).
fof(f5524,plain,
( sQ157_spl
| ~ sQ58_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5523,f1069]) ).
fof(f5525,plain,
( sQ157_spl
| ~ sQ58_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f5524]) ).
fof(f5528,plain,
( ~ sQ50_spl
| ~ sQ154_spl
| n1 = n3 ),
inference(forward_demodulation,[status(thm)],[f4438,f783]) ).
fof(f5529,plain,
( ~ sQ50_spl
| ~ sQ154_spl
| sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5528,f1276]) ).
fof(f5530,plain,
( ~ sQ50_spl
| ~ sQ154_spl
| sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f5529]) ).
fof(f5598,plain,
( ~ sQ7_spl
| s_best7_init != s_best7_init
| ~ sP16_prd(pv1388) ),
inference(paramodulation,[status(thm)],[f4278,f2448]) ).
fof(f5599,plain,
( ~ sQ7_spl
| s_best7_init != s_best7_init
| ~ sP13_prd(pv1388) ),
inference(paramodulation,[status(thm)],[f4278,f2194]) ).
fof(f5600,plain,
( ~ sQ7_spl
| s_best7_init != s_best7_init
| ~ sP10_prd(pv1388) ),
inference(paramodulation,[status(thm)],[f4278,f1718]) ).
fof(f5601,plain,
( ~ sQ7_spl
| s_best7_init != s_best7_init
| ~ sP5_prd(pv1388) ),
inference(paramodulation,[status(thm)],[f4278,f1238]) ).
fof(f5603,definition,
( sQ173_spl
<=> sP16_prd(pv1388) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f5606,plain,
( ~ sQ7_spl
| ~ sQ163_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f5598,f5603,f5221,f539]) ).
fof(f5607,definition,
( sQ174_spl
<=> sP13_prd(pv1388) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f5610,plain,
( ~ sQ7_spl
| ~ sQ163_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f5599,f5607,f5221,f539]) ).
fof(f5611,definition,
( sQ175_spl
<=> sP10_prd(pv1388) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f5614,plain,
( ~ sQ7_spl
| ~ sQ163_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f5600,f5611,f5221,f539]) ).
fof(f5615,definition,
( sQ176_spl
<=> sP5_prd(pv1388) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f5618,plain,
( ~ sQ7_spl
| ~ sQ163_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f5601,f5615,f5221,f539]) ).
fof(f5689,plain,
( ~ sQ118_spl
| ~ gt(n4,n3) ),
inference(backward_demodulation,[status(thm)],[f2625,f3308]) ).
fof(f5701,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5689,f290]) ).
fof(f5702,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f5701]) ).
fof(f5863,definition,
( sQ177_spl
<=> a_select2(s_values7,n3) = a_select2(s_values7,n2) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f5872,plain,
( sQ157_spl
| ~ sQ155_spl
| ~ leq(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f4441,f4450]) ).
fof(f5873,plain,
( sQ157_spl
| ~ sQ155_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5872,f92]) ).
fof(f5874,plain,
( sQ157_spl
| ~ sQ155_spl ),
inference(contradiction_clause,[status(thm)],[f5873]) ).
fof(f5886,plain,
( n3 = n1
| gt(n3,n1) ),
inference(resolution,[status(thm)],[f5207,f87]) ).
fof(f5887,plain,
( sQ82_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f5886,f1277,f1274]) ).
fof(f5911,plain,
( s_worst7 = n3
| s_worst7 = n2
| s_worst7 = n1
| s_worst7 = n0
| ~ leq(s_worst7,n3) ),
inference(resolution,[status(thm)],[f256,f303]) ).
fof(f5912,plain,
( s_worst7 = n1
| s_worst7 = n0
| ~ leq(s_worst7,n1) ),
inference(resolution,[status(thm)],[f256,f299]) ).
fof(f5913,plain,
( s_worst7 = n2
| s_worst7 = n1
| s_worst7 = n0
| ~ leq(s_worst7,n2) ),
inference(resolution,[status(thm)],[f256,f301]) ).
fof(f5914,plain,
( s_worst7 = n0
| ~ leq(s_worst7,n0) ),
inference(resolution,[status(thm)],[f256,f297]) ).
fof(f5917,definition,
( sQ179_spl
<=> leq(s_worst7,n4) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f5919,plain,
( sQ179_spl
| ~ leq(s_worst7,n4) ),
inference(component_clause,[status(thm)],[f5917]) ).
fof(f5920,definition,
( sQ180_spl
<=> s_worst7 = n1 ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f5921,plain,
( ~ sQ180_spl
| s_worst7 = n1 ),
inference(component_clause,[status(thm)],[f5920]) ).
fof(f5923,definition,
( sQ181_spl
<=> s_worst7 = n2 ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f5924,plain,
( ~ sQ181_spl
| s_worst7 = n2 ),
inference(component_clause,[status(thm)],[f5923]) ).
fof(f5926,definition,
( sQ182_spl
<=> s_worst7 = n4 ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f5927,plain,
( ~ sQ182_spl
| s_worst7 = n4 ),
inference(component_clause,[status(thm)],[f5926]) ).
fof(f5930,plain,
( sQ48_spl
| sQ181_spl
| sQ180_spl
| sQ56_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f5911,f567,f803,f5920,f5923,f775]) ).
fof(f5931,definition,
( sQ183_spl
<=> leq(s_worst7,n1) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f5933,plain,
( sQ183_spl
| ~ leq(s_worst7,n1) ),
inference(component_clause,[status(thm)],[f5931]) ).
fof(f5934,plain,
( sQ180_spl
| sQ56_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f5912,f5931,f803,f5920]) ).
fof(f5935,definition,
( sQ184_spl
<=> leq(s_worst7,n2) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f5937,plain,
( sQ184_spl
| ~ leq(s_worst7,n2) ),
inference(component_clause,[status(thm)],[f5935]) ).
fof(f5938,plain,
( sQ181_spl
| sQ180_spl
| sQ56_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f5913,f5935,f803,f5920,f5923]) ).
fof(f5939,definition,
( sQ185_spl
<=> leq(s_worst7,n0) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f5941,plain,
( sQ185_spl
| ~ leq(s_worst7,n0) ),
inference(component_clause,[status(thm)],[f5939]) ).
fof(f5942,plain,
( sQ56_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f5914,f5939,f803]) ).
fof(f6043,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f259,f566]) ).
fof(f6044,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f6043]) ).
fof(f6062,plain,
( sQ7_spl
| ~ leq(pv1388,n3)
| ~ leq(n0,pv1388) ),
inference(resolution,[status(thm)],[f848,f874]) ).
fof(f6063,plain,
( sQ7_spl
| ~ sQ17_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f6062,f561,f570,f539]) ).
fof(f6093,plain,
( ~ sQ47_spl
| ~ gt(pv1388,n3) ),
inference(resolution,[status(thm)],[f772,f736]) ).
fof(f6095,plain,
( ~ sQ30_spl
| ~ sQ155_spl
| leq(a_select2(s_values7,pv1388),a_select2(s_values7,n2)) ),
inference(forward_demodulation,[status(thm)],[f4441,f616]) ).
fof(f6096,plain,
( ~ sQ30_spl
| ~ sQ155_spl
| gt(a_select2(s_values7,n2),a_select2(s_values7,pv1388))
| a_select2(s_values7,pv1388) = a_select2(s_values7,n2) ),
inference(resolution,[status(thm)],[f6095,f107]) ).
fof(f6098,plain,
( ~ sQ30_spl
| ~ sQ155_spl
| sQ171_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f6096,f5309,f5306,f4440,f615]) ).
fof(f6112,plain,
( sQ14_spl
| ~ gt(pv1388,n0) ),
inference(resolution,[status(thm)],[f563,f105]) ).
fof(f6250,plain,
! [X0] :
( n3 = n4
| gt(X0,n3)
| ~ gt(X0,n4) ),
inference(resolution,[status(thm)],[f734,f3006]) ).
fof(f6251,plain,
! [X0] :
( n3 = n5
| gt(X0,n3)
| ~ gt(X0,n5) ),
inference(resolution,[status(thm)],[f734,f3008]) ).
fof(f6252,plain,
! [X0] :
( n2 = n4
| gt(X0,n2)
| ~ gt(X0,n4) ),
inference(resolution,[status(thm)],[f734,f3029]) ).
fof(f6253,plain,
! [X0] :
( ~ sQ55_spl
| n2 = pv1388
| gt(X0,n2)
| ~ gt(X0,pv1388) ),
inference(resolution,[status(thm)],[f734,f5363]) ).
fof(f6254,plain,
! [X0] :
( n2 = n3
| gt(X0,n2)
| ~ gt(X0,n3) ),
inference(resolution,[status(thm)],[f734,f3371]) ).
fof(f6255,plain,
! [X0] :
( n2 = n5
| gt(X0,n2)
| ~ gt(X0,n5) ),
inference(resolution,[status(thm)],[f734,f3031]) ).
fof(f6256,plain,
! [X0] :
( n4 = n5
| gt(X0,n4)
| ~ gt(X0,n5) ),
inference(resolution,[status(thm)],[f734,f3083]) ).
fof(f6257,plain,
! [X0] :
( n0 = n4
| gt(X0,n0)
| ~ gt(X0,n4) ),
inference(resolution,[status(thm)],[f734,f2305]) ).
fof(f6258,plain,
! [X0] :
( n0 = n5
| gt(X0,n0)
| ~ gt(X0,n5) ),
inference(resolution,[status(thm)],[f734,f4891]) ).
fof(f6259,plain,
! [X0] :
( n0 = n3
| gt(X0,n0)
| ~ gt(X0,n3) ),
inference(resolution,[status(thm)],[f734,f4469]) ).
fof(f6260,plain,
! [X0] :
( n0 = n1
| gt(X0,n0)
| ~ gt(X0,n1) ),
inference(resolution,[status(thm)],[f734,f2741]) ).
fof(f6261,plain,
! [X0] :
( sQ65_spl
| n0 = n2
| gt(X0,n0)
| ~ gt(X0,n2) ),
inference(resolution,[status(thm)],[f734,f1446]) ).
fof(f6262,plain,
! [X0] :
( ~ sQ121_spl
| n1 = n5
| gt(X0,n1)
| ~ gt(X0,n5) ),
inference(resolution,[status(thm)],[f734,f3581]) ).
fof(f6263,plain,
! [X0] :
( n1 = n4
| gt(X0,n1)
| ~ gt(X0,n4) ),
inference(resolution,[status(thm)],[f734,f2304]) ).
fof(f6264,plain,
! [X0] :
( n1 = n3
| gt(X0,n1)
| ~ gt(X0,n3) ),
inference(resolution,[status(thm)],[f734,f5207]) ).
fof(f6265,plain,
! [X0] :
( n1 = n2
| gt(X0,n1)
| ~ gt(X0,n2) ),
inference(resolution,[status(thm)],[f734,f2300]) ).
fof(f6267,plain,
! [X0] :
( tptp_minus_1 = n5
| gt(X0,tptp_minus_1)
| ~ gt(X0,n5) ),
inference(resolution,[status(thm)],[f734,f2306]) ).
fof(f6268,plain,
! [X0] :
( tptp_minus_1 = n4
| gt(X0,tptp_minus_1)
| ~ gt(X0,n4) ),
inference(resolution,[status(thm)],[f734,f2301]) ).
fof(f6269,plain,
! [X0] :
( tptp_minus_1 = n3
| gt(X0,tptp_minus_1)
| ~ gt(X0,n3) ),
inference(resolution,[status(thm)],[f734,f2294]) ).
fof(f6270,plain,
! [X0] :
( tptp_minus_1 = n2
| gt(X0,tptp_minus_1)
| ~ gt(X0,n2) ),
inference(resolution,[status(thm)],[f734,f2298]) ).
fof(f6271,plain,
! [X0] :
( tptp_minus_1 = n1
| gt(X0,tptp_minus_1)
| ~ gt(X0,n1) ),
inference(resolution,[status(thm)],[f734,f2291]) ).
fof(f6272,plain,
! [X0] :
( tptp_minus_1 = n0
| gt(X0,tptp_minus_1)
| ~ gt(X0,n0) ),
inference(resolution,[status(thm)],[f734,f1479]) ).
fof(f6283,definition,
! [X0] :
( sQ186_spl
<=> ( gt(X0,n3)
| ~ gt(X0,n4) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f6286,plain,
( sQ112_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f6250,f6283,f2571]) ).
fof(f6287,definition,
! [X0] :
( sQ187_spl
<=> ( gt(X0,n3)
| ~ gt(X0,n5) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f6290,plain,
( sQ118_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f6251,f6287,f2624]) ).
fof(f6291,definition,
! [X0] :
( sQ188_spl
<=> ( gt(X0,n2)
| ~ gt(X0,n4) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f6294,plain,
( sQ134_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f6252,f6291,f3063]) ).
fof(f6295,definition,
! [X0] :
( sQ189_spl
<=> ( gt(X0,n2)
| ~ gt(X0,pv1388) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f6298,plain,
( ~ sQ55_spl
| sQ54_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f6253,f6295,f796,f799]) ).
fof(f6299,definition,
! [X0] :
( sQ190_spl
<=> ( gt(X0,n2)
| ~ gt(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f6302,plain,
( sQ85_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f6254,f6299,f1353]) ).
fof(f6303,definition,
! [X0] :
( sQ191_spl
<=> ( gt(X0,n2)
| ~ gt(X0,n5) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f6306,plain,
( sQ142_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f6255,f6303,f3271]) ).
fof(f6307,definition,
! [X0] :
( sQ192_spl
<=> ( gt(X0,n4)
| ~ gt(X0,n5) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f6310,plain,
( sQ149_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f6256,f6307,f4197]) ).
fof(f6311,definition,
! [X0] :
( sQ193_spl
<=> ( gt(X0,n0)
| ~ gt(X0,n4) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f6314,plain,
( sQ140_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f6257,f6311,f3150]) ).
fof(f6315,definition,
! [X0] :
( sQ194_spl
<=> ( gt(X0,n0)
| ~ gt(X0,n5) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f6318,plain,
( sQ145_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f6258,f6315,f3282]) ).
fof(f6319,definition,
! [X0] :
( sQ195_spl
<=> ( gt(X0,n0)
| ~ gt(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f6322,plain,
( sQ78_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f6259,f6319,f1084]) ).
fof(f6323,definition,
! [X0] :
( sQ196_spl
<=> ( gt(X0,n0)
| ~ gt(X0,n1) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f6326,plain,
( sQ75_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f6260,f6323,f1031]) ).
fof(f6327,definition,
! [X0] :
( sQ197_spl
<=> ( gt(X0,n0)
| ~ gt(X0,n2) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f6330,plain,
( sQ65_spl
| sQ66_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f6261,f6327,f988,f985]) ).
fof(f6331,definition,
! [X0] :
( sQ198_spl
<=> ( gt(X0,n1)
| ~ gt(X0,n5) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f6334,plain,
( ~ sQ121_spl
| sQ122_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f6262,f6331,f2689,f2686]) ).
fof(f6335,definition,
! [X0] :
( sQ199_spl
<=> ( gt(X0,n1)
| ~ gt(X0,n4) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f6338,plain,
( sQ114_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f6263,f6335,f2595]) ).
fof(f6339,definition,
! [X0] :
( sQ200_spl
<=> ( gt(X0,n1)
| ~ gt(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f6342,plain,
( sQ82_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f6264,f6339,f1274]) ).
fof(f6343,definition,
! [X0] :
( sQ201_spl
<=> ( gt(X0,n1)
| ~ gt(X0,n2) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f6346,plain,
( sQ73_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f6265,f6343,f1024]) ).
fof(f6351,definition,
! [X0] :
( sQ203_spl
<=> ( gt(X0,tptp_minus_1)
| ~ gt(X0,n5) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f6354,plain,
( sQ116_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f6267,f6351,f2610]) ).
fof(f6355,definition,
! [X0] :
( sQ204_spl
<=> ( gt(X0,tptp_minus_1)
| ~ gt(X0,n4) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f6358,plain,
( sQ110_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f6268,f6355,f2553]) ).
fof(f6359,definition,
! [X0] :
( sQ205_spl
<=> ( gt(X0,tptp_minus_1)
| ~ gt(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f6362,plain,
( sQ106_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f6269,f6359,f2400]) ).
fof(f6363,definition,
! [X0] :
( sQ206_spl
<=> ( gt(X0,tptp_minus_1)
| ~ gt(X0,n2) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f6366,plain,
( sQ108_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f6270,f6363,f2454]) ).
fof(f6367,definition,
! [X0] :
( sQ207_spl
<=> ( gt(X0,tptp_minus_1)
| ~ gt(X0,n1) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f6370,plain,
( sQ104_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f6271,f6367,f2325]) ).
fof(f6371,definition,
! [X0] :
( sQ208_spl
<=> ( gt(X0,tptp_minus_1)
| ~ gt(X0,n0) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f6374,plain,
( sQ95_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f6272,f6371,f1841]) ).
fof(f6417,plain,
! [X0] :
( ~ sQ47_spl
| pv1388 = n3
| gt(X0,pv1388)
| ~ gt(X0,n3) ),
inference(resolution,[status(thm)],[f6093,f734]) ).
fof(f6422,definition,
! [X0] :
( sQ209_spl
<=> ( gt(X0,pv1388)
| ~ gt(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f6425,plain,
( ~ sQ47_spl
| sQ46_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f6417,f6422,f768,f771]) ).
fof(f6504,plain,
! [X0] :
( ~ sP16_prd(n3)
| leq(X0,n3)
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f742,f506]) ).
fof(f6506,plain,
! [X0] :
( ~ sP5_prd(n3)
| leq(X0,n3)
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f742,f411]) ).
fof(f6508,plain,
! [X0] :
( ~ sP13_prd(n3)
| leq(X0,n3)
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f742,f485]) ).
fof(f6510,plain,
! [X0] :
( ~ sP10_prd(n3)
| leq(X0,n3)
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f742,f464]) ).
fof(f6600,definition,
! [X0] :
( sQ210_spl
<=> ( leq(X0,n0)
| ~ leq(X0,n0) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f6615,definition,
! [X0] :
( sQ211_spl
<=> ( leq(X0,n3)
| ~ leq(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f6618,plain,
( ~ sQ168_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f6504,f6615,f5254]) ).
fof(f6619,plain,
( ~ sQ170_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f6506,f6615,f5263]) ).
fof(f6620,plain,
( ~ sQ169_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f6508,f6615,f5258]) ).
fof(f6621,plain,
( ~ sQ167_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f6510,f6615,f5250]) ).
fof(f6666,definition,
( sQ222_spl
<=> pv1388 = n0 ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f6667,plain,
( ~ sQ222_spl
| pv1388 = n0 ),
inference(component_clause,[status(thm)],[f6666]) ).
fof(f6670,definition,
( sQ223_spl
<=> gt(n0,pv1388) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f6671,plain,
( ~ sQ223_spl
| gt(n0,pv1388) ),
inference(component_clause,[status(thm)],[f6670]) ).
fof(f6674,plain,
( sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5452,f288]) ).
fof(f6675,plain,
sQ141_spl,
inference(contradiction_clause,[status(thm)],[f6674]) ).
fof(f6676,plain,
( sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5488,f287]) ).
fof(f6677,plain,
sQ135_spl,
inference(contradiction_clause,[status(thm)],[f6676]) ).
fof(f6678,plain,
( ~ sQ181_spl
| ~ sQ180_spl
| n1 = n2 ),
inference(forward_demodulation,[status(thm)],[f5921,f5924]) ).
fof(f6679,plain,
( ~ sQ181_spl
| ~ sQ180_spl
| sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6678,f1026]) ).
fof(f6680,plain,
( ~ sQ181_spl
| ~ sQ180_spl
| sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f6679]) ).
fof(f6681,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f572,f261]) ).
fof(f6682,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f6681]) ).
fof(f6689,plain,
( ~ sQ222_spl
| leq(n2,n0) ),
inference(backward_demodulation,[status(thm)],[f6667,f257]) ).
fof(f6698,plain,
( sQ163_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5223]) ).
fof(f6699,plain,
sQ163_spl,
inference(contradiction_clause,[status(thm)],[f6698]) ).
fof(f6700,plain,
( sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5420,f279]) ).
fof(f6701,plain,
sQ144_spl,
inference(contradiction_clause,[status(thm)],[f6700]) ).
fof(f6702,plain,
( sQ184_spl
| ~ sQ180_spl
| ~ leq(n1,n2) ),
inference(forward_demodulation,[status(thm)],[f5921,f5937]) ).
fof(f6703,plain,
( sQ184_spl
| ~ sQ180_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6702,f2907]) ).
fof(f6704,plain,
( sQ184_spl
| ~ sQ180_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f6703]) ).
fof(f6705,plain,
( sQ183_spl
| ~ sQ180_spl
| ~ leq(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f5921,f5933]) ).
fof(f6706,plain,
( sQ183_spl
| ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6705,f92]) ).
fof(f6707,plain,
( sQ183_spl
| ~ sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f6706]) ).
fof(f6708,plain,
( ~ sQ182_spl
| ~ sQ180_spl
| n1 = n4 ),
inference(forward_demodulation,[status(thm)],[f5921,f5927]) ).
fof(f6709,plain,
( ~ sQ182_spl
| ~ sQ180_spl
| sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6708,f2597]) ).
fof(f6710,plain,
( ~ sQ182_spl
| ~ sQ180_spl
| sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f6709]) ).
fof(f6719,plain,
( sQ9_spl
| ~ sQ52_spl
| ~ gt(a_select2(s_values7,pv1388),a_select2(s_values7,n3)) ),
inference(forward_demodulation,[status(thm)],[f790,f547]) ).
fof(f6720,plain,
! [X0] :
( sQ9_spl
| ~ sQ52_spl
| a_select2(s_values7,pv1388) = a_select2(s_values7,n3)
| gt(X0,a_select2(s_values7,pv1388))
| ~ gt(X0,a_select2(s_values7,n3)) ),
inference(resolution,[status(thm)],[f6719,f734]) ).
fof(f6724,plain,
( sQ9_spl
| ~ sQ52_spl
| a_select2(s_values7,n3) = a_select2(s_values7,pv1388)
| gt(a_select2(s_values7,n3),a_select2(s_values7,pv1388)) ),
inference(resolution,[status(thm)],[f6719,f87]) ).
fof(f6725,definition,
! [X0] :
( sQ224_spl
<=> ( gt(X0,a_select2(s_values7,pv1388))
| ~ gt(X0,a_select2(s_values7,n3)) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f6728,definition,
( sQ225_spl
<=> a_select2(s_values7,pv1388) = a_select2(s_values7,n3) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f6731,plain,
( sQ9_spl
| ~ sQ52_spl
| sQ225_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f6720,f6725,f6728,f789,f545]) ).
fof(f6732,definition,
( sQ226_spl
<=> gt(a_select2(s_values7,n3),a_select2(s_values7,pv1388)) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f6735,plain,
( sQ9_spl
| ~ sQ52_spl
| sQ225_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f6724,f6732,f6728,f789,f545]) ).
fof(f6755,plain,
( sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5486,f283]) ).
fof(f6756,plain,
sQ136_spl,
inference(contradiction_clause,[status(thm)],[f6755]) ).
fof(f6757,plain,
( sQ6_spl
| ~ sQ52_spl
| a_select2(s_values7_init,n3) != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f790,f841]) ).
fof(f6758,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ sQ52_spl
| ~ gt(a_select2(s_values7,n2),a_select2(s_values7,n3)) ),
inference(forward_demodulation,[status(thm)],[f790,f3989]) ).
fof(f6795,definition,
( sQ227_spl
<=> leq(s_worst7,n5) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f6797,plain,
( sQ227_spl
| ~ leq(s_worst7,n5) ),
inference(component_clause,[status(thm)],[f6795]) ).
fof(f6798,definition,
( sQ228_spl
<=> s_worst7 = n5 ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f6799,plain,
( ~ sQ228_spl
| s_worst7 = n5 ),
inference(component_clause,[status(thm)],[f6798]) ).
fof(f6813,plain,
! [X0] :
( sQ9_spl
| ~ sQ54_spl
| ~ sQ52_spl
| a_select2(s_values7,n2) = a_select2(s_values7,n3)
| gt(X0,a_select2(s_values7,n2))
| ~ gt(X0,a_select2(s_values7,n3)) ),
inference(resolution,[status(thm)],[f6758,f734]) ).
fof(f6817,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ sQ52_spl
| a_select2(s_values7,n3) = a_select2(s_values7,n2)
| gt(a_select2(s_values7,n3),a_select2(s_values7,n2)) ),
inference(resolution,[status(thm)],[f6758,f87]) ).
fof(f6818,definition,
! [X0] :
( sQ229_spl
<=> ( gt(X0,a_select2(s_values7,n2))
| ~ gt(X0,a_select2(s_values7,n3)) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f6821,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ sQ52_spl
| sQ177_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f6813,f6818,f5863,f789,f796,f545]) ).
fof(f6822,definition,
( sQ230_spl
<=> gt(a_select2(s_values7,n3),a_select2(s_values7,n2)) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f6825,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ sQ52_spl
| sQ177_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f6817,f6822,f5863,f789,f796,f545]) ).
fof(f6831,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| s_best7_init != s_best7_init
| ~ sP16_prd(n2) ),
inference(paramodulation,[status(thm)],[f4274,f2448]) ).
fof(f6832,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| s_best7_init != s_best7_init
| ~ sP13_prd(n2) ),
inference(paramodulation,[status(thm)],[f4274,f2194]) ).
fof(f6833,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| s_best7_init != s_best7_init
| ~ sP10_prd(n2) ),
inference(paramodulation,[status(thm)],[f4274,f1718]) ).
fof(f6834,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| s_best7_init != s_best7_init
| ~ sP5_prd(n2) ),
inference(paramodulation,[status(thm)],[f4274,f1238]) ).
fof(f6836,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| ~ sQ163_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f6831,f5225,f5221,f796,f539]) ).
fof(f6837,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| ~ sQ163_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f6832,f5229,f5221,f796,f539]) ).
fof(f6838,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| ~ sQ163_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f6833,f5218,f5221,f796,f539]) ).
fof(f6839,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| ~ sQ163_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f6834,f5234,f5221,f796,f539]) ).
fof(f6844,plain,
( ~ sQ30_spl
| ~ sQ54_spl
| ~ sQ58_spl
| gt(a_select2(s_values7,n0),a_select2(s_values7,n2))
| a_select2(s_values7,n2) = a_select2(s_values7,n0) ),
inference(resolution,[status(thm)],[f2023,f107]) ).
fof(f6846,definition,
( sQ231_spl
<=> a_select2(s_values7,n2) = a_select2(s_values7,n0) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f6849,definition,
( sQ232_spl
<=> gt(a_select2(s_values7,n0),a_select2(s_values7,n2)) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f6852,plain,
( ~ sQ30_spl
| ~ sQ54_spl
| ~ sQ58_spl
| sQ232_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f6844,f6846,f6849,f810,f796,f615]) ).
fof(f6868,plain,
( sQ14_spl
| ~ sQ54_spl
| ~ leq(n0,n2) ),
inference(backward_demodulation,[status(thm)],[f797,f563]) ).
fof(f6872,plain,
( sQ14_spl
| ~ sQ54_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f6868,f1068,f796,f561]) ).
fof(f6886,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| a_select2(s_values7_init,n2) = s_best7_init ),
inference(forward_demodulation,[status(thm)],[f797,f4278]) ).
fof(f6890,plain,
( ~ sQ30_spl
| ~ sQ54_spl
| gt(a_select2(s_values7,s_sworst7),a_select2(s_values7,n2))
| a_select2(s_values7,n2) = a_select2(s_values7,s_sworst7) ),
inference(resolution,[status(thm)],[f1058,f107]) ).
fof(f6892,definition,
( sQ233_spl
<=> a_select2(s_values7,n2) = a_select2(s_values7,s_sworst7) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f6895,definition,
( sQ234_spl
<=> gt(a_select2(s_values7,s_sworst7),a_select2(s_values7,n2)) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f6898,plain,
( ~ sQ30_spl
| ~ sQ54_spl
| sQ234_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f6890,f6892,f6895,f796,f615]) ).
fof(f6945,plain,
( ~ sQ144_spl
| n5 = n5
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| n5 = n0
| ~ leq(n5,n5) ),
inference(resolution,[status(thm)],[f3280,f295]) ).
fof(f6946,plain,
( ~ sQ144_spl
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| n5 = n0
| ~ leq(n5,n4) ),
inference(resolution,[status(thm)],[f3280,f293]) ).
fof(f6947,plain,
( ~ sQ144_spl
| n5 = n3
| n5 = n2
| n5 = n1
| n5 = n0
| ~ leq(n5,n3) ),
inference(resolution,[status(thm)],[f3280,f303]) ).
fof(f6948,plain,
( ~ sQ144_spl
| n5 = n1
| n5 = n0
| ~ leq(n5,n1) ),
inference(resolution,[status(thm)],[f3280,f299]) ).
fof(f6949,plain,
( ~ sQ144_spl
| n5 = n2
| n5 = n1
| n5 = n0
| ~ leq(n5,n2) ),
inference(resolution,[status(thm)],[f3280,f301]) ).
fof(f6950,plain,
( ~ sQ144_spl
| n5 = n0
| ~ leq(n5,n0) ),
inference(resolution,[status(thm)],[f3280,f297]) ).
fof(f6955,definition,
( sQ235_spl
<=> leq(n5,n5) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f6957,plain,
( sQ235_spl
| ~ leq(n5,n5) ),
inference(component_clause,[status(thm)],[f6955]) ).
fof(f6958,definition,
( sQ236_spl
<=> n5 = n5 ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f6961,plain,
( ~ sQ144_spl
| sQ236_spl
| sQ149_spl
| sQ118_spl
| sQ142_spl
| sQ122_spl
| sQ145_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f6945,f6955,f3282,f2689,f3271,f2624,f4197,f6958,f3279]) ).
fof(f6962,definition,
( sQ237_spl
<=> leq(n5,n4) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f6965,plain,
( ~ sQ144_spl
| sQ149_spl
| sQ118_spl
| sQ142_spl
| sQ122_spl
| sQ145_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f6946,f6962,f3282,f2689,f3271,f2624,f4197,f3279]) ).
fof(f6966,definition,
( sQ238_spl
<=> leq(n5,n3) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f6969,plain,
( ~ sQ144_spl
| sQ118_spl
| sQ142_spl
| sQ122_spl
| sQ145_spl
| ~ sQ238_spl ),
inference(split_clause,[status(thm)],[f6947,f6966,f3282,f2689,f3271,f2624,f3279]) ).
fof(f6970,definition,
( sQ239_spl
<=> leq(n5,n1) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f6973,plain,
( ~ sQ144_spl
| sQ122_spl
| sQ145_spl
| ~ sQ239_spl ),
inference(split_clause,[status(thm)],[f6948,f6970,f3282,f2689,f3279]) ).
fof(f6974,definition,
( sQ240_spl
<=> leq(n5,n2) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f6977,plain,
( ~ sQ144_spl
| sQ142_spl
| sQ122_spl
| sQ145_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f6949,f6974,f3282,f2689,f3271,f3279]) ).
fof(f6978,definition,
( sQ241_spl
<=> leq(n5,n0) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f6981,plain,
( ~ sQ144_spl
| sQ145_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f6950,f6978,f3282,f3279]) ).
fof(f6983,plain,
( sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6957,f92]) ).
fof(f6984,plain,
sQ235_spl,
inference(contradiction_clause,[status(thm)],[f6983]) ).
fof(f6999,plain,
( sQ21_spl
| ~ sQ56_spl
| a_select2(s_values7_init,n0) != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f804,f853]) ).
fof(f7000,plain,
( sQ21_spl
| ~ sQ56_spl
| ~ leq(n0,n3)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f6999,f874]) ).
fof(f7001,plain,
( sQ21_spl
| ~ sQ56_spl
| ~ sQ77_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f7000,f995,f1081,f803,f585]) ).
fof(f7002,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| a_select2(s_values7_init,n0) = init ),
inference(forward_demodulation,[status(thm)],[f804,f586]) ).
fof(f7003,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| a_select2(s_values7_init,n0) = s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f7002]) ).
fof(f7004,plain,
( sQ28_spl
| ~ sQ155_spl
| a_select2(s_values7_init,n2) != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f4441,f854]) ).
fof(f7005,plain,
( sQ28_spl
| ~ sQ155_spl
| ~ sQ7_spl
| ~ sQ54_spl
| s_best7_init != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f6886,f7004]) ).
fof(f7006,plain,
( sQ28_spl
| ~ sQ155_spl
| ~ sQ7_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7005]) ).
fof(f7007,plain,
( sQ28_spl
| ~ sQ155_spl
| ~ sQ7_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f7006]) ).
fof(f7017,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| s_best7_init != s_best7_init
| ~ sP16_prd(n0) ),
inference(paramodulation,[status(thm)],[f7003,f2448]) ).
fof(f7018,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| s_best7_init != s_best7_init
| ~ sP13_prd(n0) ),
inference(paramodulation,[status(thm)],[f7003,f2194]) ).
fof(f7019,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| s_best7_init != s_best7_init
| ~ sP10_prd(n0) ),
inference(paramodulation,[status(thm)],[f7003,f1718]) ).
fof(f7020,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| s_best7_init != s_best7_init
| ~ sP5_prd(n0) ),
inference(paramodulation,[status(thm)],[f7003,f1238]) ).
fof(f7022,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| ~ sQ163_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f7017,f2257,f5221,f803,f585]) ).
fof(f7023,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| ~ sQ163_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f7018,f2125,f5221,f803,f585]) ).
fof(f7024,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| ~ sQ163_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f7019,f1711,f5221,f803,f585]) ).
fof(f7025,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| ~ sQ163_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f7020,f1234,f5221,f803,f585]) ).
fof(f7026,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ gt(a_select2(s_values7,n2),a_select2(s_values7,s_best7)) ),
inference(forward_demodulation,[status(thm)],[f797,f547]) ).
fof(f7027,plain,
! [X0] :
( sQ9_spl
| ~ sQ54_spl
| a_select2(s_values7,n2) = a_select2(s_values7,s_best7)
| gt(X0,a_select2(s_values7,n2))
| ~ gt(X0,a_select2(s_values7,s_best7)) ),
inference(resolution,[status(thm)],[f2670,f734]) ).
fof(f7032,definition,
! [X0] :
( sQ242_spl
<=> ( gt(X0,a_select2(s_values7,n2))
| ~ gt(X0,a_select2(s_values7,s_best7)) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f7035,plain,
( sQ9_spl
| ~ sQ54_spl
| sQ120_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f7027,f7032,f2676,f796,f545]) ).
fof(f7045,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ sQ60_spl
| ~ gt(a_select2(s_values7,n2),a_select2(s_values7,n0)) ),
inference(forward_demodulation,[status(thm)],[f818,f7026]) ).
fof(f7046,plain,
! [X0] :
( sQ9_spl
| ~ sQ54_spl
| ~ sQ60_spl
| a_select2(s_values7,n2) = a_select2(s_values7,n0)
| gt(X0,a_select2(s_values7,n2))
| ~ gt(X0,a_select2(s_values7,n0)) ),
inference(resolution,[status(thm)],[f7045,f734]) ).
fof(f7050,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ sQ60_spl
| a_select2(s_values7,n0) = a_select2(s_values7,n2)
| gt(a_select2(s_values7,n0),a_select2(s_values7,n2)) ),
inference(resolution,[status(thm)],[f7045,f87]) ).
fof(f7051,definition,
! [X0] :
( sQ243_spl
<=> ( gt(X0,a_select2(s_values7,n2))
| ~ gt(X0,a_select2(s_values7,n0)) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f7054,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ sQ60_spl
| sQ231_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f7046,f7051,f6846,f817,f796,f545]) ).
fof(f7055,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ sQ60_spl
| sQ231_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f7050,f6849,f6846,f817,f796,f545]) ).
fof(f7076,plain,
( ~ sQ48_spl
| ~ sQ180_spl
| n1 = n3 ),
inference(forward_demodulation,[status(thm)],[f5921,f776]) ).
fof(f7077,plain,
( ~ sQ48_spl
| ~ sQ180_spl
| sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7076,f1276]) ).
fof(f7078,plain,
( ~ sQ48_spl
| ~ sQ180_spl
| sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f7077]) ).
fof(f7085,plain,
( sQ21_spl
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7) ),
inference(resolution,[status(thm)],[f853,f874]) ).
fof(f7086,plain,
( sQ21_spl
| ~ sQ16_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f7085,f558,f567,f585]) ).
fof(f7087,plain,
( ~ sQ21_spl
| a_select2(s_values7_init,s_worst7) = s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f586]) ).
fof(f7088,plain,
( sQ28_spl
| ~ sQ58_spl
| a_select2(s_values7_init,n0) != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f811,f854]) ).
fof(f7110,plain,
( ~ sQ85_spl
| pred(n2) = n2 ),
inference(backward_demodulation,[status(thm)],[f1354,f3376]) ).
fof(f7149,plain,
( ~ sQ85_spl
| n1 = n2 ),
inference(forward_demodulation,[status(thm)],[f3004,f7110]) ).
fof(f7150,plain,
( ~ sQ85_spl
| sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7149,f1026]) ).
fof(f7151,plain,
( ~ sQ85_spl
| sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f7150]) ).
fof(f7156,plain,
( ~ sQ78_spl
| sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4970,f1446]) ).
fof(f7157,plain,
( ~ sQ78_spl
| sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f7156]) ).
fof(f7158,plain,
( ~ sQ28_spl
| a_select2(s_values7_init,s_sworst7) = s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f610]) ).
fof(f7175,plain,
( s_best7 = n1
| s_best7 = n0
| ~ leq(s_best7,n1) ),
inference(resolution,[status(thm)],[f254,f299]) ).
fof(f7176,plain,
( s_best7 = n2
| s_best7 = n1
| s_best7 = n0
| ~ leq(s_best7,n2) ),
inference(resolution,[status(thm)],[f254,f301]) ).
fof(f7182,plain,
( sQ71_spl
| sQ60_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f7175,f1014,f817,f1017]) ).
fof(f7183,definition,
( sQ244_spl
<=> leq(s_best7,n2) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f7185,plain,
( sQ244_spl
| ~ leq(s_best7,n2) ),
inference(component_clause,[status(thm)],[f7183]) ).
fof(f7186,plain,
( sQ125_spl
| sQ71_spl
| sQ60_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f7176,f7183,f817,f1017,f2826]) ).
fof(f7208,plain,
! [X0] :
( sQ9_spl
| a_select2(s_values7,pv1388) = a_select2(s_values7,s_best7)
| gt(X0,a_select2(s_values7,pv1388))
| ~ gt(X0,a_select2(s_values7,s_best7)) ),
inference(resolution,[status(thm)],[f547,f734]) ).
fof(f7212,plain,
( sQ9_spl
| a_select2(s_values7,s_best7) = a_select2(s_values7,pv1388)
| gt(a_select2(s_values7,s_best7),a_select2(s_values7,pv1388)) ),
inference(resolution,[status(thm)],[f547,f87]) ).
fof(f7213,definition,
! [X0] :
( sQ245_spl
<=> ( gt(X0,a_select2(s_values7,pv1388))
| ~ gt(X0,a_select2(s_values7,s_best7)) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f7216,definition,
( sQ246_spl
<=> a_select2(s_values7,pv1388) = a_select2(s_values7,s_best7) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f7219,plain,
( sQ9_spl
| sQ246_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f7208,f7213,f7216,f545]) ).
fof(f7220,definition,
( sQ247_spl
<=> gt(a_select2(s_values7,s_best7),a_select2(s_values7,pv1388)) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f7223,plain,
( sQ9_spl
| sQ246_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f7212,f7220,f7216,f545]) ).
fof(f7226,plain,
( ~ sQ30_spl
| gt(a_select2(s_values7,s_sworst7),a_select2(s_values7,pv1388))
| a_select2(s_values7,pv1388) = a_select2(s_values7,s_sworst7) ),
inference(resolution,[status(thm)],[f616,f107]) ).
fof(f7228,definition,
( sQ248_spl
<=> a_select2(s_values7,pv1388) = a_select2(s_values7,s_sworst7) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f7231,definition,
( sQ249_spl
<=> gt(a_select2(s_values7,s_sworst7),a_select2(s_values7,pv1388)) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f7234,plain,
( ~ sQ30_spl
| sQ249_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f7226,f7228,f7231,f615]) ).
fof(f7236,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ gt(a_select2(s_values7,n2),a_select2(s_values7,s_best7)) ),
inference(backward_demodulation,[status(thm)],[f797,f547]) ).
fof(f7271,plain,
( ~ sQ48_spl
| ~ sQ181_spl
| n2 = n3 ),
inference(forward_demodulation,[status(thm)],[f5924,f776]) ).
fof(f7272,plain,
( ~ sQ48_spl
| ~ sQ181_spl
| sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7271,f1355]) ).
fof(f7273,plain,
( ~ sQ48_spl
| ~ sQ181_spl
| sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f7272]) ).
fof(f7514,plain,
plus(n3,n1) = plus(n2,n2),
inference(paramodulation,[status(thm)],[f2993,f2374]) ).
fof(f7518,plain,
succ(n3) = plus(n2,n2),
inference(forward_demodulation,[status(thm)],[f200,f7514]) ).
fof(f7519,plain,
succ(n3) = n4,
inference(forward_demodulation,[status(thm)],[f4812,f7518]) ).
fof(f7777,plain,
( sQ161_spl
| ~ gt(n5,n3) ),
inference(resolution,[status(thm)],[f5123,f105]) ).
fof(f7779,plain,
( sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7777,f291]) ).
fof(f7780,plain,
sQ161_spl,
inference(contradiction_clause,[status(thm)],[f7779]) ).
fof(f7798,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| a_select2(s_values7_init,n0) = s_best7_init ),
inference(forward_demodulation,[status(thm)],[f811,f7158]) ).
fof(f7804,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| s_best7_init != s_best7_init
| ~ sP16_prd(n0) ),
inference(paramodulation,[status(thm)],[f7798,f2448]) ).
fof(f7805,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| s_best7_init != s_best7_init
| ~ sP13_prd(n0) ),
inference(paramodulation,[status(thm)],[f7798,f2194]) ).
fof(f7806,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| s_best7_init != s_best7_init
| ~ sP10_prd(n0) ),
inference(paramodulation,[status(thm)],[f7798,f1718]) ).
fof(f7807,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| s_best7_init != s_best7_init
| ~ sP5_prd(n0) ),
inference(paramodulation,[status(thm)],[f7798,f1238]) ).
fof(f7809,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| ~ sQ163_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f7804,f2257,f5221,f810,f609]) ).
fof(f7810,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| ~ sQ163_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f7805,f2125,f5221,f810,f609]) ).
fof(f7811,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| ~ sQ163_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f7806,f1711,f5221,f810,f609]) ).
fof(f7812,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| ~ sQ163_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f7807,f1234,f5221,f810,f609]) ).
fof(f7846,plain,
pred(n4) = n3,
inference(paramodulation,[status(thm)],[f7519,f211]) ).
fof(f7851,plain,
( ~ sQ21_spl
| ~ sQ48_spl
| a_select2(s_values7_init,n3) = s_best7_init ),
inference(forward_demodulation,[status(thm)],[f776,f7087]) ).
fof(f7857,plain,
( ~ sQ21_spl
| ~ sQ48_spl
| s_best7_init != s_best7_init
| ~ sP16_prd(n3) ),
inference(paramodulation,[status(thm)],[f7851,f2448]) ).
fof(f7858,plain,
( ~ sQ21_spl
| ~ sQ48_spl
| s_best7_init != s_best7_init
| ~ sP13_prd(n3) ),
inference(paramodulation,[status(thm)],[f7851,f2194]) ).
fof(f7859,plain,
( ~ sQ21_spl
| ~ sQ48_spl
| s_best7_init != s_best7_init
| ~ sP10_prd(n3) ),
inference(paramodulation,[status(thm)],[f7851,f1718]) ).
fof(f7860,plain,
( ~ sQ21_spl
| ~ sQ48_spl
| s_best7_init != s_best7_init
| ~ sP5_prd(n3) ),
inference(paramodulation,[status(thm)],[f7851,f1238]) ).
fof(f7862,plain,
( ~ sQ21_spl
| ~ sQ48_spl
| ~ sQ163_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f7857,f5254,f5221,f775,f585]) ).
fof(f7863,plain,
( ~ sQ21_spl
| ~ sQ48_spl
| ~ sQ163_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f7858,f5258,f5221,f775,f585]) ).
fof(f7864,plain,
( ~ sQ21_spl
| ~ sQ48_spl
| ~ sQ163_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f7859,f5250,f5221,f775,f585]) ).
fof(f7865,plain,
( ~ sQ21_spl
| ~ sQ48_spl
| ~ sQ163_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f7860,f5263,f5221,f775,f585]) ).
fof(f7938,plain,
! [X0] : ~ sP17_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f2702,f512]) ).
fof(f7939,plain,
( ~ sQ27_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f605,f7940]) ).
fof(f7940,plain,
! [X0] : ~ sP14_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f2703,f491]) ).
fof(f7941,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f7939]) ).
fof(f7944,plain,
! [X0] : ~ leq(plus(X0,n2),X0),
inference(forward_demodulation,[status(thm)],[f202,f1223]) ).
fof(f7958,plain,
! [X0] : ~ gt(X0,plus(X0,n2)),
inference(resolution,[status(thm)],[f7944,f105]) ).
fof(f7963,plain,
~ leq(succ(n2),n1),
inference(paramodulation,[status(thm)],[f201,f7944]) ).
fof(f7970,plain,
~ leq(n3,n1),
inference(forward_demodulation,[status(thm)],[f3365,f7963]) ).
fof(f7971,plain,
( sQ28_spl
| ~ sQ58_spl
| ~ leq(n0,n3)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f7088,f874]) ).
fof(f7972,plain,
( sQ28_spl
| ~ sQ58_spl
| ~ sQ77_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f7971,f995,f1081,f810,f609]) ).
fof(f8016,plain,
! [X0] : ~ sP11_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f2704,f470]) ).
fof(f8017,plain,
! [X0] : ~ sP6_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f2705,f417]) ).
fof(f8018,plain,
! [X0] : ~ sP16_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f2710,f506]) ).
fof(f8019,plain,
! [X0] : ~ sP13_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f2711,f485]) ).
fof(f8020,plain,
! [X0] : ~ sP10_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f2712,f464]) ).
fof(f8021,plain,
! [X0] : ~ sP5_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f2713,f411]) ).
fof(f8058,plain,
! [X0] :
( ~ sQ54_spl
| leq(X0,n3)
| ~ leq(X0,n2) ),
inference(forward_demodulation,[status(thm)],[f797,f753]) ).
fof(f8086,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f602,f8019]) ).
fof(f8087,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f8086]) ).
fof(f8097,plain,
( sQ156_spl
| ~ sQ154_spl
| ~ leq(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f4438,f4446]) ).
fof(f8098,plain,
( sQ156_spl
| ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8097,f92]) ).
fof(f8099,plain,
( sQ156_spl
| ~ sQ154_spl ),
inference(contradiction_clause,[status(thm)],[f8098]) ).
fof(f8136,definition,
( sQ250_spl
<=> sP4_prd(n3) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f8141,definition,
( sQ251_spl
<=> sP4_prd(n4) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f8150,definition,
( sQ253_spl
<=> sP4_prd(tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f8153,definition,
( sQ254_spl
<=> gt(n0,n0) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f8154,plain,
( ~ sQ254_spl
| gt(n0,n0) ),
inference(component_clause,[status(thm)],[f8153]) ).
fof(f8165,plain,
( ~ sQ0_spl
| gt(loopcounter,n0) ),
inference(resolution,[status(thm)],[f754,f516]) ).
fof(f8176,definition,
( sQ255_spl
<=> gt(n1,n1) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f8194,definition,
( sQ256_spl
<=> gt(n2,n2) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f8202,plain,
( ~ sQ0_spl
| ~ gt(n0,loopcounter) ),
inference(resolution,[status(thm)],[f8165,f736]) ).
fof(f8204,plain,
! [X0] :
( ~ sQ0_spl
| n0 = loopcounter
| gt(X0,n0)
| ~ gt(X0,loopcounter) ),
inference(resolution,[status(thm)],[f8202,f734]) ).
fof(f8208,plain,
( ~ sQ0_spl
| loopcounter = n0
| gt(loopcounter,n0) ),
inference(resolution,[status(thm)],[f8202,f87]) ).
fof(f8209,definition,
! [X0] :
( sQ257_spl
<=> ( gt(X0,n0)
| ~ gt(X0,loopcounter) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f8212,definition,
( sQ258_spl
<=> n0 = loopcounter ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f8213,plain,
( ~ sQ258_spl
| n0 = loopcounter ),
inference(component_clause,[status(thm)],[f8212]) ).
fof(f8215,plain,
( ~ sQ0_spl
| sQ258_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f8204,f8209,f8212,f515]) ).
fof(f8216,definition,
( sQ259_spl
<=> gt(loopcounter,n0) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f8219,plain,
( ~ sQ0_spl
| sQ258_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f8208,f8216,f8212,f515]) ).
fof(f8221,plain,
( ~ sQ0_spl
| ~ sQ258_spl
| gt(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f8213,f8165]) ).
fof(f8225,plain,
( ~ sQ0_spl
| ~ sQ258_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8221,f91]) ).
fof(f8226,plain,
( ~ sQ0_spl
| ~ sQ258_spl ),
inference(contradiction_clause,[status(thm)],[f8225]) ).
fof(f8227,plain,
( sQ13_spl
| ~ sQ181_spl
| ~ leq(n0,n2) ),
inference(forward_demodulation,[status(thm)],[f5924,f560]) ).
fof(f8228,plain,
( sQ13_spl
| ~ sQ181_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8227,f1069]) ).
fof(f8229,plain,
( sQ13_spl
| ~ sQ181_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f8228]) ).
fof(f8434,plain,
( ~ sQ254_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8154,f91]) ).
fof(f8435,plain,
~ sQ254_spl,
inference(contradiction_clause,[status(thm)],[f8434]) ).
fof(f8436,plain,
! [X0] : gt(X0,pred(pred(X0))),
inference(resolution,[status(thm)],[f859,f861]) ).
fof(f8453,plain,
( n0 = pred(n0)
| ~ sP4_prd(pred(n0)) ),
inference(resolution,[status(thm)],[f897,f1459]) ).
fof(f8463,definition,
( sQ261_spl
<=> sP4_prd(pred(n0)) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f8466,definition,
( sQ262_spl
<=> n0 = pred(n0) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f8467,plain,
( ~ sQ262_spl
| n0 = pred(n0) ),
inference(component_clause,[status(thm)],[f8466]) ).
fof(f8469,plain,
( sQ262_spl
| ~ sQ261_spl ),
inference(split_clause,[status(thm)],[f8453,f8463,f8466]) ).
fof(f8532,plain,
plus(n4,n0) = plus(n2,n2),
inference(paramodulation,[status(thm)],[f4860,f4922]) ).
fof(f8534,plain,
plus(n4,n0) = n4,
inference(forward_demodulation,[status(thm)],[f4812,f8532]) ).
fof(f8542,plain,
! [X0,X1] :
( ~ leq(succ(pred(X0)),X1)
| ~ gt(X0,X1) ),
inference(resolution,[status(thm)],[f886,f892]) ).
fof(f8570,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ gt(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f212,f8542]) ).
fof(f8574,plain,
! [X0,X1] :
( ~ leq(n0,n0)
| leq(uniform_int_rnd(X1,n0),X0)
| ~ sP4_prd(X0) ),
inference(resolution,[status(thm)],[f898,f121]) ).
fof(f8584,definition,
! [X0,X1] :
( sQ264_spl
<=> ( leq(uniform_int_rnd(X1,n0),X0)
| ~ sP4_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f8587,plain,
( ~ sQ68_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f8574,f8584,f995]) ).
fof(f8659,plain,
leq(tptp_minus_1,n0),
inference(resolution,[status(thm)],[f890,f92]) ).
fof(f8663,definition,
( sQ267_spl
<=> leq(n0,tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f8667,definition,
( sQ268_spl
<=> sP15_prd(tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f8671,definition,
( sQ269_spl
<=> sP12_prd(tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f8675,definition,
( sQ270_spl
<=> sP9_prd(tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f8725,plain,
( n4 = n2
| ~ sP4_prd(n4) ),
inference(resolution,[status(thm)],[f927,f3029]) ).
fof(f8726,plain,
( n5 = n2
| ~ sP4_prd(n5) ),
inference(resolution,[status(thm)],[f927,f3031]) ).
fof(f8731,plain,
( succ(n2) = n2
| ~ sP4_prd(succ(n2)) ),
inference(resolution,[status(thm)],[f927,f1225]) ).
fof(f8740,plain,
( sQ134_spl
| ~ sQ251_spl ),
inference(split_clause,[status(thm)],[f8725,f8141,f3063]) ).
fof(f8741,definition,
( sQ272_spl
<=> sP4_prd(n5) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f8744,plain,
( sQ142_spl
| ~ sQ272_spl ),
inference(split_clause,[status(thm)],[f8726,f8741,f3271]) ).
fof(f8747,definition,
( sQ273_spl
<=> sP4_prd(succ(n2)) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f8750,definition,
( sQ274_spl
<=> succ(n2) = n2 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f8751,plain,
( ~ sQ274_spl
| succ(n2) = n2 ),
inference(component_clause,[status(thm)],[f8750]) ).
fof(f8753,plain,
( sQ274_spl
| ~ sQ273_spl ),
inference(split_clause,[status(thm)],[f8731,f8747,f8750]) ).
fof(f8761,plain,
! [X0] :
( leq(tptp_minus_1,X0)
| ~ sP4_prd(X0) ),
inference(resolution,[status(thm)],[f8659,f898]) ).
fof(f8771,plain,
( plus(n2,n2) = n2
| ~ sP4_prd(plus(n2,n2)) ),
inference(resolution,[status(thm)],[f7958,f927]) ).
fof(f8785,definition,
( sQ276_spl
<=> sP4_prd(plus(n2,n2)) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f8788,definition,
( sQ277_spl
<=> plus(n2,n2) = n2 ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f8789,plain,
( ~ sQ277_spl
| plus(n2,n2) = n2 ),
inference(component_clause,[status(thm)],[f8788]) ).
fof(f8791,plain,
( sQ277_spl
| ~ sQ276_spl ),
inference(split_clause,[status(thm)],[f8771,f8785,f8788]) ).
fof(f8795,plain,
! [X0] : leq(pred(pred(succ(X0))),X0),
inference(resolution,[status(thm)],[f8436,f118]) ).
fof(f8798,plain,
! [X0] : ~ gt(pred(pred(X0)),X0),
inference(resolution,[status(thm)],[f8436,f736]) ).
fof(f8806,plain,
! [X0] : gt(succ(X0),pred(X0)),
inference(paramodulation,[status(thm)],[f211,f8436]) ).
fof(f8807,plain,
! [X0] : leq(pred(X0),X0),
inference(forward_demodulation,[status(thm)],[f211,f8795]) ).
fof(f8814,plain,
leq(pred(tptp_minus_1),n0),
inference(resolution,[status(thm)],[f8807,f890]) ).
fof(f8831,plain,
! [X0] : leq(X0,succ(X0)),
inference(paramodulation,[status(thm)],[f211,f8807]) ).
fof(f8889,plain,
( succ(n0) = n1
| succ(n0) = n0
| ~ leq(succ(n0),n1) ),
inference(resolution,[status(thm)],[f8831,f299]) ).
fof(f8891,plain,
( succ(n0) = n0
| ~ leq(succ(n0),n0) ),
inference(resolution,[status(thm)],[f8831,f297]) ).
fof(f8909,definition,
( sQ278_spl
<=> leq(succ(n0),n4) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f8911,plain,
( sQ278_spl
| ~ leq(succ(n0),n4) ),
inference(component_clause,[status(thm)],[f8909]) ).
fof(f8912,definition,
( sQ279_spl
<=> succ(n0) = n0 ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f8913,plain,
( ~ sQ279_spl
| succ(n0) = n0 ),
inference(component_clause,[status(thm)],[f8912]) ).
fof(f8915,definition,
( sQ280_spl
<=> succ(n0) = n1 ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f8916,plain,
( ~ sQ280_spl
| succ(n0) = n1 ),
inference(component_clause,[status(thm)],[f8915]) ).
fof(f8918,definition,
( sQ281_spl
<=> succ(n0) = n2 ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f8919,plain,
( ~ sQ281_spl
| succ(n0) = n2 ),
inference(component_clause,[status(thm)],[f8918]) ).
fof(f8921,definition,
( sQ282_spl
<=> succ(n0) = n3 ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f8922,plain,
( ~ sQ282_spl
| succ(n0) = n3 ),
inference(component_clause,[status(thm)],[f8921]) ).
fof(f8924,definition,
( sQ283_spl
<=> succ(n0) = n4 ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f8925,plain,
( ~ sQ283_spl
| succ(n0) = n4 ),
inference(component_clause,[status(thm)],[f8924]) ).
fof(f8928,definition,
( sQ284_spl
<=> leq(succ(n0),n5) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f8930,plain,
( sQ284_spl
| ~ leq(succ(n0),n5) ),
inference(component_clause,[status(thm)],[f8928]) ).
fof(f8931,definition,
( sQ285_spl
<=> succ(n0) = n5 ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f8932,plain,
( ~ sQ285_spl
| succ(n0) = n5 ),
inference(component_clause,[status(thm)],[f8931]) ).
fof(f8935,definition,
( sQ286_spl
<=> leq(succ(n0),n3) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f8937,plain,
( sQ286_spl
| ~ leq(succ(n0),n3) ),
inference(component_clause,[status(thm)],[f8935]) ).
fof(f8939,definition,
( sQ287_spl
<=> leq(succ(n0),n1) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f8941,plain,
( sQ287_spl
| ~ leq(succ(n0),n1) ),
inference(component_clause,[status(thm)],[f8939]) ).
fof(f8942,plain,
( sQ280_spl
| sQ279_spl
| ~ sQ287_spl ),
inference(split_clause,[status(thm)],[f8889,f8939,f8912,f8915]) ).
fof(f8943,definition,
( sQ288_spl
<=> leq(succ(n0),n2) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f8945,plain,
( sQ288_spl
| ~ leq(succ(n0),n2) ),
inference(component_clause,[status(thm)],[f8943]) ).
fof(f8947,definition,
( sQ289_spl
<=> leq(succ(n0),n0) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f8950,plain,
( sQ279_spl
| ~ sQ289_spl ),
inference(split_clause,[status(thm)],[f8891,f8947,f8912]) ).
fof(f8951,plain,
( ~ sQ279_spl
| n0 = n1 ),
inference(backward_demodulation,[status(thm)],[f8913,f306]) ).
fof(f8975,plain,
( ~ sQ279_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f8951,f1031,f8912]) ).
fof(f9047,plain,
! [X0] :
( ~ sP15_prd(X0)
| ~ gt(n0,X0) ),
inference(resolution,[status(thm)],[f8570,f497]) ).
fof(f9048,plain,
! [X0] :
( ~ sP12_prd(X0)
| ~ gt(n0,X0) ),
inference(resolution,[status(thm)],[f8570,f476]) ).
fof(f9049,plain,
! [X0] :
( ~ sP9_prd(X0)
| ~ gt(n0,X0) ),
inference(resolution,[status(thm)],[f8570,f455]) ).
fof(f9050,plain,
! [X0] :
( ~ sP4_prd(X0)
| ~ gt(n0,X0) ),
inference(resolution,[status(thm)],[f8570,f402]) ).
fof(f9120,plain,
! [X0] :
( leq(X0,tptp_minus_1)
| ~ leq(X0,tptp_minus_1)
| ~ gt(n0,tptp_minus_1) ),
inference(resolution,[status(thm)],[f921,f742]) ).
fof(f9132,definition,
( sQ291_spl
<=> leq(tptp_minus_1,n5) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f9136,definition,
( sQ292_spl
<=> leq(tptp_minus_1,n3) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f9138,plain,
( sQ292_spl
| ~ leq(tptp_minus_1,n3) ),
inference(component_clause,[status(thm)],[f9136]) ).
fof(f9140,definition,
( sQ293_spl
<=> leq(tptp_minus_1,n1) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f9142,plain,
( sQ293_spl
| ~ leq(tptp_minus_1,n1) ),
inference(component_clause,[status(thm)],[f9140]) ).
fof(f9144,definition,
( sQ294_spl
<=> leq(tptp_minus_1,n2) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f9146,plain,
( sQ294_spl
| ~ leq(tptp_minus_1,n2) ),
inference(component_clause,[status(thm)],[f9144]) ).
fof(f9148,definition,
( sQ295_spl
<=> leq(tptp_minus_1,n0) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f9150,plain,
( sQ295_spl
| ~ leq(tptp_minus_1,n0) ),
inference(component_clause,[status(thm)],[f9148]) ).
fof(f9160,definition,
! [X0] :
( sQ298_spl
<=> ( leq(X0,tptp_minus_1)
| ~ leq(X0,tptp_minus_1) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f9163,plain,
( sQ298_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f9120,f1838,f9160]) ).
fof(f9172,plain,
! [X0] :
( gt(n4,uniform_int_rnd(X0,n3))
| ~ leq(n0,pred(n4)) ),
inference(paramodulation,[status(thm)],[f7846,f922]) ).
fof(f9173,plain,
! [X0] :
( gt(n3,uniform_int_rnd(X0,n2))
| ~ leq(n0,pred(n3)) ),
inference(paramodulation,[status(thm)],[f3376,f922]) ).
fof(f9174,plain,
! [X0] :
( gt(n5,uniform_int_rnd(X0,n4))
| ~ leq(n0,pred(n5)) ),
inference(paramodulation,[status(thm)],[f3313,f922]) ).
fof(f9175,plain,
! [X0] :
( gt(n2,uniform_int_rnd(X0,n1))
| ~ leq(n0,pred(n2)) ),
inference(paramodulation,[status(thm)],[f3004,f922]) ).
fof(f9183,definition,
( sQ299_spl
<=> leq(n0,pred(n4)) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f9185,plain,
( sQ299_spl
| ~ leq(n0,pred(n4)) ),
inference(component_clause,[status(thm)],[f9183]) ).
fof(f9186,definition,
! [X0] :
( sQ300_spl
<=> gt(n4,uniform_int_rnd(X0,n3)) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f9189,plain,
( sQ300_spl
| ~ sQ299_spl ),
inference(split_clause,[status(thm)],[f9172,f9183,f9186]) ).
fof(f9190,definition,
( sQ301_spl
<=> leq(n0,pred(n3)) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f9192,plain,
( sQ301_spl
| ~ leq(n0,pred(n3)) ),
inference(component_clause,[status(thm)],[f9190]) ).
fof(f9193,definition,
! [X0] :
( sQ302_spl
<=> gt(n3,uniform_int_rnd(X0,n2)) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f9196,plain,
( sQ302_spl
| ~ sQ301_spl ),
inference(split_clause,[status(thm)],[f9173,f9190,f9193]) ).
fof(f9197,definition,
( sQ303_spl
<=> leq(n0,pred(n5)) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f9198,plain,
( ~ sQ303_spl
| leq(n0,pred(n5)) ),
inference(component_clause,[status(thm)],[f9197]) ).
fof(f9199,plain,
( sQ303_spl
| ~ leq(n0,pred(n5)) ),
inference(component_clause,[status(thm)],[f9197]) ).
fof(f9200,definition,
! [X0] :
( sQ304_spl
<=> gt(n5,uniform_int_rnd(X0,n4)) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f9203,plain,
( sQ304_spl
| ~ sQ303_spl ),
inference(split_clause,[status(thm)],[f9174,f9197,f9200]) ).
fof(f9204,definition,
( sQ305_spl
<=> leq(n0,pred(n2)) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f9206,plain,
( sQ305_spl
| ~ leq(n0,pred(n2)) ),
inference(component_clause,[status(thm)],[f9204]) ).
fof(f9207,definition,
! [X0] :
( sQ306_spl
<=> gt(n2,uniform_int_rnd(X0,n1)) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f9210,plain,
( sQ306_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f9175,f9204,f9207]) ).
fof(f9211,definition,
( sQ307_spl
<=> leq(n0,pred(n1)) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f9213,plain,
( sQ307_spl
| ~ leq(n0,pred(n1)) ),
inference(component_clause,[status(thm)],[f9211]) ).
fof(f9214,definition,
! [X0] :
( sQ308_spl
<=> gt(n1,uniform_int_rnd(X0,n0)) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f9223,plain,
( sQ307_spl
| ~ leq(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f955,f9213]) ).
fof(f9224,plain,
( sQ307_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9223,f92]) ).
fof(f9225,plain,
sQ307_spl,
inference(contradiction_clause,[status(thm)],[f9224]) ).
fof(f9226,plain,
( sQ305_spl
| ~ leq(n0,n1) ),
inference(forward_demodulation,[status(thm)],[f3004,f9206]) ).
fof(f9227,plain,
( sQ305_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9226,f1029]) ).
fof(f9228,plain,
( sQ305_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f9227]) ).
fof(f9229,plain,
( sQ303_spl
| ~ leq(n0,n4) ),
inference(forward_demodulation,[status(thm)],[f3313,f9199]) ).
fof(f9230,plain,
( sQ301_spl
| ~ leq(n0,n2) ),
inference(forward_demodulation,[status(thm)],[f3376,f9192]) ).
fof(f9231,plain,
( sQ301_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9230,f1069]) ).
fof(f9232,plain,
( sQ301_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f9231]) ).
fof(f9233,plain,
( sQ299_spl
| ~ leq(n0,n3) ),
inference(forward_demodulation,[status(thm)],[f7846,f9185]) ).
fof(f9317,plain,
( sQ303_spl
| ~ gt(n4,n0) ),
inference(resolution,[status(thm)],[f9229,f105]) ).
fof(f9319,plain,
( sQ303_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9317,f278]) ).
fof(f9320,plain,
sQ303_spl,
inference(contradiction_clause,[status(thm)],[f9319]) ).
fof(f9321,plain,
( ~ sQ303_spl
| leq(n0,n4) ),
inference(forward_demodulation,[status(thm)],[f3313,f9198]) ).
fof(f9322,plain,
( ~ sQ303_spl
| n4 = n4
| n4 = n3
| n4 = n2
| n4 = n1
| n4 = n0
| ~ leq(n4,n4) ),
inference(resolution,[status(thm)],[f9321,f293]) ).
fof(f9324,plain,
( ~ sQ303_spl
| n4 = n3
| n4 = n2
| n4 = n1
| n4 = n0
| ~ leq(n4,n3) ),
inference(resolution,[status(thm)],[f9321,f303]) ).
fof(f9326,plain,
( ~ sQ303_spl
| n4 = n2
| n4 = n1
| n4 = n0
| ~ leq(n4,n2) ),
inference(resolution,[status(thm)],[f9321,f301]) ).
fof(f9336,definition,
( sQ313_spl
<=> leq(n4,n4) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f9338,plain,
( sQ313_spl
| ~ leq(n4,n4) ),
inference(component_clause,[status(thm)],[f9336]) ).
fof(f9339,definition,
( sQ314_spl
<=> n4 = n4 ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f9342,plain,
( ~ sQ303_spl
| sQ314_spl
| sQ112_spl
| sQ134_spl
| sQ114_spl
| sQ140_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f9322,f9336,f3150,f2595,f3063,f2571,f9339,f9197]) ).
fof(f9343,definition,
( sQ315_spl
<=> leq(n4,n5) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f9347,definition,
( sQ316_spl
<=> leq(n4,n3) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f9350,plain,
( ~ sQ303_spl
| sQ112_spl
| sQ134_spl
| sQ114_spl
| sQ140_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f9324,f9347,f3150,f2595,f3063,f2571,f9197]) ).
fof(f9351,definition,
( sQ317_spl
<=> leq(n4,n1) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f9355,definition,
( sQ318_spl
<=> leq(n4,n2) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f9358,plain,
( ~ sQ303_spl
| sQ134_spl
| sQ114_spl
| sQ140_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f9326,f9355,f3150,f2595,f3063,f9197]) ).
fof(f9359,definition,
( sQ319_spl
<=> leq(n4,n0) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f9364,plain,
( ~ sQ112_spl
| n4 = n5 ),
inference(forward_demodulation,[status(thm)],[f7519,f5275]) ).
fof(f9365,plain,
( ~ sQ112_spl
| sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9364,f4199]) ).
fof(f9366,plain,
( ~ sQ112_spl
| sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f9365]) ).
fof(f9401,plain,
( n0 = pred(pred(n0))
| ~ sP4_prd(pred(pred(n0))) ),
inference(resolution,[status(thm)],[f8798,f897]) ).
fof(f9412,plain,
~ gt(pred(tptp_minus_1),n0),
inference(paramodulation,[status(thm)],[f741,f8798]) ).
fof(f9413,plain,
! [X0] : ~ gt(pred(X0),succ(X0)),
inference(paramodulation,[status(thm)],[f211,f8798]) ).
fof(f9416,definition,
( sQ320_spl
<=> sP4_prd(pred(pred(n0))) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f9419,definition,
( sQ321_spl
<=> n0 = pred(pred(n0)) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f9420,plain,
( ~ sQ321_spl
| n0 = pred(pred(n0)) ),
inference(component_clause,[status(thm)],[f9419]) ).
fof(f9422,plain,
( sQ321_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f9401,f9416,f9419]) ).
fof(f9444,plain,
! [X0] : gt(plus(n2,X0),pred(succ(X0))),
inference(paramodulation,[status(thm)],[f203,f8806]) ).
fof(f9450,plain,
gt(succ(n5),n4),
inference(paramodulation,[status(thm)],[f3313,f8806]) ).
fof(f9460,plain,
! [X0] : gt(plus(n2,X0),X0),
inference(forward_demodulation,[status(thm)],[f211,f9444]) ).
fof(f9475,plain,
( gt(n0,pred(tptp_minus_1))
| pred(tptp_minus_1) = n0 ),
inference(resolution,[status(thm)],[f8814,f107]) ).
fof(f9477,definition,
( sQ322_spl
<=> pred(tptp_minus_1) = n0 ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f9478,plain,
( ~ sQ322_spl
| pred(tptp_minus_1) = n0 ),
inference(component_clause,[status(thm)],[f9477]) ).
fof(f9479,plain,
( sQ322_spl
| pred(tptp_minus_1) != n0 ),
inference(component_clause,[status(thm)],[f9477]) ).
fof(f9480,definition,
( sQ323_spl
<=> gt(n0,pred(tptp_minus_1)) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f9483,plain,
( sQ323_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f9475,f9477,f9480]) ).
fof(f9487,plain,
( ~ sQ322_spl
| gt(succ(tptp_minus_1),n0) ),
inference(paramodulation,[status(thm)],[f9478,f8806]) ).
fof(f9504,plain,
( ~ sQ322_spl
| gt(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f199,f9487]) ).
fof(f9505,plain,
( ~ sQ322_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9504,f91]) ).
fof(f9506,plain,
~ sQ322_spl,
inference(contradiction_clause,[status(thm)],[f9505]) ).
fof(f9515,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)],[f926,f293]) ).
fof(f9516,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)],[f926,f295]) ).
fof(f9517,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)],[f926,f303]) ).
fof(f9518,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)],[f926,f299]) ).
fof(f9519,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)],[f926,f301]) ).
fof(f9520,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)],[f926,f297]) ).
fof(f9534,definition,
! [X0,X1] :
( sQ324_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,[sQ324_spl])],[split_symbol_definition]) ).
fof(f9537,plain,
( ~ sQ68_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f9515,f9534,f995]) ).
fof(f9538,definition,
! [X0,X1] :
( sQ325_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,[sQ325_spl])],[split_symbol_definition]) ).
fof(f9541,plain,
( ~ sQ68_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f9516,f9538,f995]) ).
fof(f9542,definition,
! [X0,X1] :
( sQ326_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,[sQ326_spl])],[split_symbol_definition]) ).
fof(f9545,plain,
( ~ sQ68_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f9517,f9542,f995]) ).
fof(f9546,definition,
! [X0,X1] :
( sQ327_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,[sQ327_spl])],[split_symbol_definition]) ).
fof(f9549,plain,
( ~ sQ68_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f9518,f9546,f995]) ).
fof(f9550,definition,
! [X0,X1] :
( sQ328_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,[sQ328_spl])],[split_symbol_definition]) ).
fof(f9553,plain,
( ~ sQ68_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f9519,f9550,f995]) ).
fof(f9554,definition,
! [X0,X1] :
( sQ329_spl
<=> ( uniform_int_rnd(X1,X0) = n0
| ~ leq(uniform_int_rnd(X1,X0),n0)
| ~ leq(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f9557,plain,
( ~ sQ68_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f9520,f9554,f995]) ).
fof(f9559,plain,
! [X0] : leq(pred(pred(X0)),X0),
inference(resolution,[status(thm)],[f938,f8807]) ).
fof(f9585,plain,
! [X0] :
( uniform_int_rnd(X0,n0) = n0
| ~ leq(n0,n0)
| ~ sP15_prd(uniform_int_rnd(X0,n0)) ),
inference(resolution,[status(thm)],[f9047,f923]) ).
fof(f9601,definition,
! [X0] :
( sQ331_spl
<=> ( uniform_int_rnd(X0,n0) = n0
| ~ sP15_prd(uniform_int_rnd(X0,n0)) ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f9604,plain,
( ~ sQ68_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f9585,f9601,f995]) ).
fof(f9613,plain,
! [X0] :
( uniform_int_rnd(X0,n0) = n0
| ~ leq(n0,n0)
| ~ sP12_prd(uniform_int_rnd(X0,n0)) ),
inference(resolution,[status(thm)],[f9048,f923]) ).
fof(f9629,definition,
! [X0] :
( sQ333_spl
<=> ( uniform_int_rnd(X0,n0) = n0
| ~ sP12_prd(uniform_int_rnd(X0,n0)) ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f9632,plain,
( ~ sQ68_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f9613,f9629,f995]) ).
fof(f9644,plain,
! [X0] :
( uniform_int_rnd(X0,n0) = n0
| ~ leq(n0,n0)
| ~ sP9_prd(uniform_int_rnd(X0,n0)) ),
inference(resolution,[status(thm)],[f9049,f923]) ).
fof(f9660,definition,
! [X0] :
( sQ335_spl
<=> ( uniform_int_rnd(X0,n0) = n0
| ~ sP9_prd(uniform_int_rnd(X0,n0)) ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f9663,plain,
( ~ sQ68_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f9644,f9660,f995]) ).
fof(f9671,plain,
! [X0] :
( uniform_int_rnd(X0,n0) = n0
| ~ leq(n0,n0)
| ~ sP4_prd(uniform_int_rnd(X0,n0)) ),
inference(resolution,[status(thm)],[f9050,f923]) ).
fof(f9687,definition,
! [X0] :
( sQ337_spl
<=> ( uniform_int_rnd(X0,n0) = n0
| ~ sP4_prd(uniform_int_rnd(X0,n0)) ) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f9690,plain,
( ~ sQ68_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f9671,f9687,f995]) ).
fof(f9748,definition,
( sQ338_spl
<=> gt(n2,n4) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f9749,plain,
( ~ sQ338_spl
| gt(n2,n4) ),
inference(component_clause,[status(thm)],[f9748]) ).
fof(f9877,definition,
( sQ347_spl
<=> sP9_prd(n4) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f9881,definition,
( sQ348_spl
<=> sP12_prd(n4) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f9885,definition,
( sQ349_spl
<=> sP15_prd(n4) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f9921,definition,
( sQ352_spl
<=> sP9_prd(n3) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f9925,definition,
( sQ353_spl
<=> sP12_prd(n3) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f9929,definition,
( sQ354_spl
<=> sP15_prd(n3) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f9963,definition,
( sQ357_spl
<=> sP9_prd(n5) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f9967,definition,
( sQ358_spl
<=> sP12_prd(n5) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f9971,definition,
( sQ359_spl
<=> sP15_prd(n5) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f9979,plain,
gt(succ(n5),tptp_minus_1),
inference(resolution,[status(thm)],[f943,f112]) ).
fof(f10011,definition,
( sQ360_spl
<=> gt(tptp_minus_1,n0) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f10066,plain,
! [X0] :
( sK36_skl(X0) = n4
| sK36_skl(X0) = n3
| sK36_skl(X0) = n2
| sK36_skl(X0) = n1
| sK36_skl(X0) = n0
| ~ leq(sK36_skl(X0),n4)
| ~ leq(n0,n0)
| ~ sP4_prd(X0) ),
inference(resolution,[status(thm)],[f951,f293]) ).
fof(f10067,plain,
! [X0] :
( sK36_skl(X0) = n5
| sK36_skl(X0) = n4
| sK36_skl(X0) = n3
| sK36_skl(X0) = n2
| sK36_skl(X0) = n1
| sK36_skl(X0) = n0
| ~ leq(sK36_skl(X0),n5)
| ~ leq(n0,n0)
| ~ sP4_prd(X0) ),
inference(resolution,[status(thm)],[f951,f295]) ).
fof(f10068,plain,
! [X0] :
( sK36_skl(X0) = n3
| sK36_skl(X0) = n2
| sK36_skl(X0) = n1
| sK36_skl(X0) = n0
| ~ leq(sK36_skl(X0),n3)
| ~ leq(n0,n0)
| ~ sP4_prd(X0) ),
inference(resolution,[status(thm)],[f951,f303]) ).
fof(f10069,plain,
! [X0] :
( sK36_skl(X0) = n1
| sK36_skl(X0) = n0
| ~ leq(sK36_skl(X0),n1)
| ~ leq(n0,n0)
| ~ sP4_prd(X0) ),
inference(resolution,[status(thm)],[f951,f299]) ).
fof(f10070,plain,
! [X0] :
( sK36_skl(X0) = n2
| sK36_skl(X0) = n1
| sK36_skl(X0) = n0
| ~ leq(sK36_skl(X0),n2)
| ~ leq(n0,n0)
| ~ sP4_prd(X0) ),
inference(resolution,[status(thm)],[f951,f301]) ).
fof(f10071,plain,
! [X0] :
( sK36_skl(X0) = n0
| ~ leq(sK36_skl(X0),n0)
| ~ leq(n0,n0)
| ~ sP4_prd(X0) ),
inference(resolution,[status(thm)],[f951,f297]) ).
fof(f10090,definition,
! [X0] :
( sQ363_spl
<=> ( sK36_skl(X0) = n4
| sK36_skl(X0) = n3
| sK36_skl(X0) = n2
| sK36_skl(X0) = n1
| sK36_skl(X0) = n0
| ~ leq(sK36_skl(X0),n4)
| ~ sP4_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f10093,plain,
( ~ sQ68_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f10066,f10090,f995]) ).
fof(f10094,definition,
! [X0] :
( sQ364_spl
<=> ( sK36_skl(X0) = n5
| sK36_skl(X0) = n4
| sK36_skl(X0) = n3
| sK36_skl(X0) = n2
| sK36_skl(X0) = n1
| sK36_skl(X0) = n0
| ~ leq(sK36_skl(X0),n5)
| ~ sP4_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f10097,plain,
( ~ sQ68_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f10067,f10094,f995]) ).
fof(f10098,definition,
! [X0] :
( sQ365_spl
<=> ( sK36_skl(X0) = n3
| sK36_skl(X0) = n2
| sK36_skl(X0) = n1
| sK36_skl(X0) = n0
| ~ leq(sK36_skl(X0),n3)
| ~ sP4_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f10101,plain,
( ~ sQ68_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f10068,f10098,f995]) ).
fof(f10102,definition,
! [X0] :
( sQ366_spl
<=> ( sK36_skl(X0) = n1
| sK36_skl(X0) = n0
| ~ leq(sK36_skl(X0),n1)
| ~ sP4_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f10105,plain,
( ~ sQ68_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f10069,f10102,f995]) ).
fof(f10106,definition,
! [X0] :
( sQ367_spl
<=> ( sK36_skl(X0) = n2
| sK36_skl(X0) = n1
| sK36_skl(X0) = n0
| ~ leq(sK36_skl(X0),n2)
| ~ sP4_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f10109,plain,
( ~ sQ68_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f10070,f10106,f995]) ).
fof(f10110,definition,
! [X0] :
( sQ368_spl
<=> ( sK36_skl(X0) = n0
| ~ leq(sK36_skl(X0),n0)
| ~ sP4_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f10113,plain,
( ~ sQ68_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f10071,f10110,f995]) ).
fof(f10116,plain,
( n0 = pred(tptp_minus_1)
| ~ sP4_prd(pred(tptp_minus_1)) ),
inference(resolution,[status(thm)],[f9412,f897]) ).
fof(f10117,plain,
! [X0] :
( pred(tptp_minus_1) = n0
| gt(X0,pred(tptp_minus_1))
| ~ gt(X0,n0) ),
inference(resolution,[status(thm)],[f9412,f734]) ).
fof(f10123,definition,
( sQ369_spl
<=> sP4_prd(pred(tptp_minus_1)) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f10126,plain,
( sQ322_spl
| ~ sQ369_spl ),
inference(split_clause,[status(thm)],[f10116,f10123,f9477]) ).
fof(f10127,definition,
! [X0] :
( sQ370_spl
<=> ( gt(X0,pred(tptp_minus_1))
| ~ gt(X0,n0) ) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f10130,plain,
( sQ322_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f10117,f10127,f9477]) ).
fof(f10141,plain,
~ gt(n4,succ(n5)),
inference(paramodulation,[status(thm)],[f3313,f9413]) ).
fof(f10151,plain,
! [X0] : ~ gt(pred(succ(X0)),plus(n2,X0)),
inference(paramodulation,[status(thm)],[f203,f9413]) ).
fof(f10166,plain,
! [X0] : ~ gt(X0,plus(n2,X0)),
inference(forward_demodulation,[status(thm)],[f211,f10151]) ).
fof(f10181,plain,
! [X0] : gt(plus(n2,succ(X0)),X0),
inference(resolution,[status(thm)],[f9460,f739]) ).
fof(f10204,plain,
! [X0] : gt(plus(X0,n3),X0),
inference(forward_demodulation,[status(thm)],[f2369,f10181]) ).
fof(f10212,plain,
~ gt(n4,succ(n5)),
inference(resolution,[status(thm)],[f9450,f736]) ).
fof(f10275,plain,
! [X0] :
( ~ leq(n0,n0)
| gt(n1,uniform_int_rnd(X0,n0)) ),
inference(resolution,[status(thm)],[f953,f121]) ).
fof(f10288,plain,
( ~ sQ68_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f10275,f9214,f995]) ).
fof(f10301,plain,
gt(n1,pred(tptp_minus_1)),
inference(resolution,[status(thm)],[f8814,f953]) ).
fof(f10332,plain,
leq(pred(n0),n1),
inference(paramodulation,[status(thm)],[f955,f9559]) ).
fof(f10334,plain,
! [X0] : leq(pred(X0),succ(X0)),
inference(paramodulation,[status(thm)],[f211,f9559]) ).
fof(f10341,plain,
leq(tptp_minus_1,n1),
inference(forward_demodulation,[status(thm)],[f741,f10332]) ).
fof(f10399,plain,
( n1 = n4
| n1 = n3
| n1 = n2
| n1 = n1
| n1 = n0
| ~ leq(n1,n4)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f954,f293]) ).
fof(f10423,plain,
( sQ114_spl
| sQ82_spl
| sQ73_spl
| sQ124_spl
| sQ75_spl
| ~ sQ136_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f10399,f995,f3136,f1031,f2822,f1024,f1274,f2595]) ).
fof(f10431,definition,
! [X0] :
( sQ374_spl
<=> ( leq(X0,n1)
| ~ leq(X0,n1) ) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f10463,plain,
~ gt(tptp_minus_1,succ(n5)),
inference(resolution,[status(thm)],[f9979,f736]) ).
fof(f10474,plain,
( n4 = succ(n5)
| leq(n4,n5) ),
inference(resolution,[status(thm)],[f10141,f920]) ).
fof(f10475,plain,
! [X0] :
( n4 = succ(n5)
| gt(X0,n4)
| ~ gt(X0,succ(n5)) ),
inference(resolution,[status(thm)],[f10141,f734]) ).
fof(f10479,plain,
( succ(n5) = n4
| gt(succ(n5),n4) ),
inference(resolution,[status(thm)],[f10141,f87]) ).
fof(f10480,definition,
( sQ375_spl
<=> n4 = succ(n5) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f10481,plain,
( ~ sQ375_spl
| n4 = succ(n5) ),
inference(component_clause,[status(thm)],[f10480]) ).
fof(f10483,plain,
( sQ375_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f10474,f9343,f10480]) ).
fof(f10484,definition,
! [X0] :
( sQ376_spl
<=> ( gt(X0,n4)
| ~ gt(X0,succ(n5)) ) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f10487,plain,
( sQ375_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f10475,f10484,f10480]) ).
fof(f10488,definition,
( sQ377_spl
<=> gt(succ(n5),n4) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f10489,plain,
( ~ sQ377_spl
| gt(succ(n5),n4) ),
inference(component_clause,[status(thm)],[f10488]) ).
fof(f10491,plain,
( sQ375_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f10479,f10488,f10480]) ).
fof(f10494,plain,
( ~ sQ375_spl
| gt(n4,n4) ),
inference(backward_demodulation,[status(thm)],[f10481,f9450]) ).
fof(f10522,plain,
( ~ sQ375_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10494,f91]) ).
fof(f10523,plain,
~ sQ375_spl,
inference(contradiction_clause,[status(thm)],[f10522]) ).
fof(f10530,plain,
! [X0] :
( ~ leq(n0,n0)
| ~ leq(n0,n0)
| uniform_int_rnd(X0,n0) = n0 ),
inference(resolution,[status(thm)],[f973,f121]) ).
fof(f10536,definition,
! [X0] :
( sQ378_spl
<=> uniform_int_rnd(X0,n0) = n0 ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f10537,plain,
! [X0] :
( ~ sQ378_spl
| uniform_int_rnd(X0,n0) = n0 ),
inference(component_clause,[status(thm)],[f10536]) ).
fof(f10539,plain,
( ~ sQ68_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f10530,f10536,f995]) ).
fof(f10571,plain,
! [X0] :
( ~ sQ378_spl
| leq(X0,n0)
| ~ leq(X0,n0)
| ~ leq(n0,n0) ),
inference(paramodulation,[status(thm)],[f10537,f926]) ).
fof(f10578,plain,
( ~ sQ378_spl
| sQ210_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f10571,f995,f6600,f10536]) ).
fof(f10586,plain,
! [X0] : ~ leq(plus(n2,succ(X0)),X0),
inference(resolution,[status(thm)],[f10166,f117]) ).
fof(f10600,plain,
! [X0] : ~ leq(plus(X0,n3),X0),
inference(forward_demodulation,[status(thm)],[f2369,f10586]) ).
fof(f10620,plain,
! [X0] : ~ gt(X0,plus(X0,n3)),
inference(resolution,[status(thm)],[f10204,f736]) ).
fof(f10658,plain,
( ~ leq(n0,n2)
| succ(n2) = n0
| ~ leq(n3,n0) ),
inference(paramodulation,[status(thm)],[f3365,f976]) ).
fof(f10666,definition,
( sQ379_spl
<=> succ(n3) = n0 ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f10667,plain,
( ~ sQ379_spl
| succ(n3) = n0 ),
inference(component_clause,[status(thm)],[f10666]) ).
fof(f10670,definition,
( sQ380_spl
<=> succ(n2) = n0 ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f10671,plain,
( ~ sQ380_spl
| succ(n2) = n0 ),
inference(component_clause,[status(thm)],[f10670]) ).
fof(f10672,plain,
( sQ380_spl
| succ(n2) != n0 ),
inference(component_clause,[status(thm)],[f10670]) ).
fof(f10673,plain,
( ~ sQ76_spl
| sQ380_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f10658,f1203,f10670,f1068]) ).
fof(f10674,definition,
( sQ381_spl
<=> succ(n4) = n0 ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f10675,plain,
( ~ sQ381_spl
| succ(n4) = n0 ),
inference(component_clause,[status(thm)],[f10674]) ).
fof(f10680,definition,
( sQ382_spl
<=> succ(n1) = n0 ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f10681,plain,
( ~ sQ382_spl
| succ(n1) = n0 ),
inference(component_clause,[status(thm)],[f10680]) ).
fof(f10689,plain,
( ~ gt(pred(n0),n0)
| pred(pred(n0)) = n0 ),
inference(resolution,[status(thm)],[f977,f9559]) ).
fof(f10699,plain,
( ~ gt(n5,n0)
| pred(n5) = n0
| ~ leq(n4,n0) ),
inference(paramodulation,[status(thm)],[f3313,f977]) ).
fof(f10701,plain,
( ~ gt(n1,n0)
| pred(n1) = n0
| ~ leq(n0,n0) ),
inference(paramodulation,[status(thm)],[f955,f977]) ).
fof(f10704,definition,
( sQ384_spl
<=> gt(pred(n0),n0) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f10707,plain,
( ~ sQ384_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f10689,f9419,f10704]) ).
fof(f10710,definition,
( sQ385_spl
<=> pred(n4) = n0 ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f10711,plain,
( ~ sQ385_spl
| pred(n4) = n0 ),
inference(component_clause,[status(thm)],[f10710]) ).
fof(f10714,definition,
( sQ386_spl
<=> pred(n3) = n0 ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f10715,plain,
( ~ sQ386_spl
| pred(n3) = n0 ),
inference(component_clause,[status(thm)],[f10714]) ).
fof(f10718,definition,
( sQ387_spl
<=> pred(n5) = n0 ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f10719,plain,
( ~ sQ387_spl
| pred(n5) = n0 ),
inference(component_clause,[status(thm)],[f10718]) ).
fof(f10721,plain,
( ~ sQ147_spl
| sQ387_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f10699,f9359,f10718,f4006]) ).
fof(f10722,definition,
( sQ388_spl
<=> pred(n2) = n0 ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f10723,plain,
( ~ sQ388_spl
| pred(n2) = n0 ),
inference(component_clause,[status(thm)],[f10722]) ).
fof(f10726,definition,
( sQ389_spl
<=> pred(n1) = n0 ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f10729,plain,
( ~ sQ92_spl
| sQ389_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f10701,f995,f10726,f1751]) ).
fof(f10732,plain,
( ~ sQ321_spl
| n0 = pred(tptp_minus_1) ),
inference(forward_demodulation,[status(thm)],[f741,f9420]) ).
fof(f10733,plain,
( ~ sQ321_spl
| sQ322_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10732,f9479]) ).
fof(f10734,plain,
( ~ sQ321_spl
| sQ322_spl ),
inference(contradiction_clause,[status(thm)],[f10733]) ).
fof(f10746,plain,
( ~ sQ262_spl
| gt(n0,pred(n0)) ),
inference(paramodulation,[status(thm)],[f8467,f8436]) ).
fof(f10764,definition,
! [X0] :
( sQ390_spl
<=> gt(n0,uniform_int_rnd(X0,n0)) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f10765,plain,
! [X0] :
( ~ sQ390_spl
| gt(n0,uniform_int_rnd(X0,n0)) ),
inference(component_clause,[status(thm)],[f10764]) ).
fof(f10768,plain,
( ~ sQ262_spl
| gt(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f8467,f10746]) ).
fof(f10769,plain,
( ~ sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10768,f91]) ).
fof(f10770,plain,
~ sQ262_spl,
inference(contradiction_clause,[status(thm)],[f10769]) ).
fof(f10800,plain,
~ gt(pred(tptp_minus_1),n1),
inference(resolution,[status(thm)],[f10301,f736]) ).
fof(f10816,plain,
! [X0] : leq(X0,succ(succ(X0))),
inference(paramodulation,[status(thm)],[f211,f10334]) ).
fof(f10822,plain,
! [X0] : leq(pred(succ(X0)),plus(n2,X0)),
inference(paramodulation,[status(thm)],[f203,f10334]) ).
fof(f10831,plain,
! [X0] : leq(X0,plus(X0,n2)),
inference(forward_demodulation,[status(thm)],[f202,f10816]) ).
fof(f10837,plain,
! [X0] : leq(X0,plus(n2,X0)),
inference(forward_demodulation,[status(thm)],[f211,f10822]) ).
fof(f10839,plain,
( tptp_minus_1 = succ(n5)
| leq(tptp_minus_1,n5) ),
inference(resolution,[status(thm)],[f10463,f920]) ).
fof(f10840,plain,
! [X0] :
( tptp_minus_1 = succ(n5)
| gt(X0,tptp_minus_1)
| ~ gt(X0,succ(n5)) ),
inference(resolution,[status(thm)],[f10463,f734]) ).
fof(f10844,plain,
( succ(n5) = tptp_minus_1
| gt(succ(n5),tptp_minus_1) ),
inference(resolution,[status(thm)],[f10463,f87]) ).
fof(f10845,definition,
( sQ391_spl
<=> tptp_minus_1 = succ(n5) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f10846,plain,
( ~ sQ391_spl
| tptp_minus_1 = succ(n5) ),
inference(component_clause,[status(thm)],[f10845]) ).
fof(f10848,plain,
( sQ391_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f10839,f9132,f10845]) ).
fof(f10849,definition,
! [X0] :
( sQ392_spl
<=> ( gt(X0,tptp_minus_1)
| ~ gt(X0,succ(n5)) ) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f10852,plain,
( sQ391_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f10840,f10849,f10845]) ).
fof(f10853,definition,
( sQ393_spl
<=> gt(succ(n5),tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f10856,plain,
( sQ391_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f10844,f10853,f10845]) ).
fof(f10858,plain,
( ~ sQ391_spl
| ~ gt(n4,tptp_minus_1) ),
inference(backward_demodulation,[status(thm)],[f10846,f10212]) ).
fof(f10890,plain,
( ~ sQ391_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10858,f272]) ).
fof(f10891,plain,
~ sQ391_spl,
inference(contradiction_clause,[status(thm)],[f10890]) ).
fof(f10909,plain,
! [X0] :
( ~ leq(n0,n0)
| ~ leq(n1,X0)
| X0 = n0
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f979,f954]) ).
fof(f10910,plain,
! [X0] :
( ~ gt(n1,n0)
| ~ leq(n0,X0)
| X0 = n0
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f979,f952]) ).
fof(f10911,plain,
! [X0,X1] :
( ~ leq(n0,n0)
| ~ sP4_prd(X1)
| ~ leq(sK36_skl(X1),X0)
| X0 = n0
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f979,f951]) ).
fof(f10912,plain,
! [X0,X1,X2] :
( ~ leq(n0,n0)
| ~ leq(n0,X2)
| ~ leq(uniform_int_rnd(X1,X2),X0)
| X0 = n0
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f979,f926]) ).
fof(f10914,plain,
! [X0] :
( ~ sQ54_spl
| ~ leq(n0,n2)
| ~ leq(n3,X0)
| X0 = n0
| ~ leq(X0,n0) ),
inference(resolution,[status(thm)],[f979,f8058]) ).
fof(f10930,definition,
! [X0] :
( sQ394_spl
<=> ( ~ leq(n1,X0)
| X0 = n0
| ~ leq(X0,n0) ) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f10933,plain,
( ~ sQ68_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f10909,f10930,f995]) ).
fof(f10934,definition,
! [X0] :
( sQ395_spl
<=> ( ~ leq(n0,X0)
| X0 = n0
| ~ leq(X0,n0) ) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f10937,plain,
( ~ sQ92_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f10910,f10934,f1751]) ).
fof(f10938,definition,
! [X0,X1] :
( sQ396_spl
<=> ( ~ sP4_prd(X1)
| ~ leq(sK36_skl(X1),X0)
| X0 = n0
| ~ leq(X0,n0) ) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f10941,plain,
( ~ sQ68_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f10911,f10938,f995]) ).
fof(f10942,definition,
! [X0,X1,X2] :
( sQ397_spl
<=> ( ~ leq(n0,X2)
| ~ leq(uniform_int_rnd(X1,X2),X0)
| X0 = n0
| ~ leq(X0,n0) ) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f10945,plain,
( ~ sQ68_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f10912,f10942,f995]) ).
fof(f10950,definition,
! [X0] :
( sQ399_spl
<=> ( ~ leq(n3,X0)
| X0 = n0
| ~ leq(X0,n0) ) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f10953,plain,
( ~ sQ54_spl
| ~ sQ76_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f10914,f10950,f1068,f796]) ).
fof(f10954,definition,
! [X0] :
( sQ400_spl
<=> ( ~ leq(n2,X0)
| X0 = n0
| ~ leq(X0,n0) ) ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f11017,plain,
! [X0] :
( ~ leq(n0,n1)
| ~ leq(n0,n1)
| uniform_int_rnd(X0,n1) = n1
| uniform_int_rnd(X0,n1) = n0 ),
inference(resolution,[status(thm)],[f1006,f121]) ).
fof(f11023,plain,
! [X0] :
( ~ sQ378_spl
| ~ leq(n0,n0)
| uniform_int_rnd(X0,n0) = n1
| uniform_int_rnd(X0,n0) = n0
| ~ leq(n0,n1) ),
inference(paramodulation,[status(thm)],[f10537,f1006]) ).
fof(f11024,definition,
! [X0] :
( sQ401_spl
<=> ( uniform_int_rnd(X0,n1) = n1
| uniform_int_rnd(X0,n1) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f11027,plain,
( ~ sQ74_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f11017,f11024,f1028]) ).
fof(f11028,definition,
! [X0] :
( sQ402_spl
<=> ( uniform_int_rnd(X0,n0) = n1
| uniform_int_rnd(X0,n0) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f11031,plain,
( ~ sQ378_spl
| ~ sQ68_spl
| sQ402_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f11023,f1028,f11028,f995,f10536]) ).
fof(f11039,plain,
( ~ leq(n0,n2)
| succ(n2) = n1
| succ(n2) = n0
| ~ leq(n3,n1) ),
inference(paramodulation,[status(thm)],[f3365,f1009]) ).
fof(f11047,definition,
( sQ403_spl
<=> succ(n3) = n1 ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f11048,plain,
( ~ sQ403_spl
| succ(n3) = n1 ),
inference(component_clause,[status(thm)],[f11047]) ).
fof(f11051,definition,
( sQ404_spl
<=> succ(n2) = n1 ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f11052,plain,
( ~ sQ404_spl
| succ(n2) = n1 ),
inference(component_clause,[status(thm)],[f11051]) ).
fof(f11054,plain,
( ~ sQ76_spl
| sQ404_spl
| sQ380_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f11039,f2958,f10670,f11051,f1068]) ).
fof(f11055,definition,
( sQ405_spl
<=> succ(n4) = n1 ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f11056,plain,
( ~ sQ405_spl
| succ(n4) = n1 ),
inference(component_clause,[status(thm)],[f11055]) ).
fof(f11063,definition,
( sQ406_spl
<=> succ(n1) = n1 ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f11064,plain,
( ~ sQ406_spl
| succ(n1) = n1 ),
inference(component_clause,[status(thm)],[f11063]) ).
fof(f11067,definition,
( sQ407_spl
<=> succ(tptp_minus_1) = n1 ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f11068,plain,
( ~ sQ407_spl
| succ(tptp_minus_1) = n1 ),
inference(component_clause,[status(thm)],[f11067]) ).
fof(f11093,plain,
( n1 = pred(tptp_minus_1)
| ~ gt(tptp_minus_1,n1) ),
inference(resolution,[status(thm)],[f10800,f885]) ).
fof(f11094,plain,
! [X0] :
( pred(tptp_minus_1) = n1
| gt(X0,pred(tptp_minus_1))
| ~ gt(X0,n1) ),
inference(resolution,[status(thm)],[f10800,f734]) ).
fof(f11098,plain,
( n1 = pred(tptp_minus_1)
| gt(n1,pred(tptp_minus_1)) ),
inference(resolution,[status(thm)],[f10800,f87]) ).
fof(f11099,definition,
( sQ408_spl
<=> gt(tptp_minus_1,n1) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f11102,definition,
( sQ409_spl
<=> n1 = pred(tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f11103,plain,
( ~ sQ409_spl
| n1 = pred(tptp_minus_1) ),
inference(component_clause,[status(thm)],[f11102]) ).
fof(f11105,plain,
( sQ409_spl
| ~ sQ408_spl ),
inference(split_clause,[status(thm)],[f11093,f11099,f11102]) ).
fof(f11106,definition,
! [X0] :
( sQ410_spl
<=> ( gt(X0,pred(tptp_minus_1))
| ~ gt(X0,n1) ) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f11109,plain,
( sQ409_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f11094,f11106,f11102]) ).
fof(f11110,definition,
( sQ411_spl
<=> gt(n1,pred(tptp_minus_1)) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f11111,plain,
( ~ sQ411_spl
| gt(n1,pred(tptp_minus_1)) ),
inference(component_clause,[status(thm)],[f11110]) ).
fof(f11113,plain,
( sQ409_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f11098,f11110,f11102]) ).
fof(f11115,plain,
( ~ sQ409_spl
| gt(n1,n1) ),
inference(backward_demodulation,[status(thm)],[f11103,f10301]) ).
fof(f11143,plain,
( ~ sQ409_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11115,f91]) ).
fof(f11144,plain,
~ sQ409_spl,
inference(contradiction_clause,[status(thm)],[f11143]) ).
fof(f11145,plain,
( ~ gt(pred(n1),n0)
| pred(pred(n1)) = n1
| pred(pred(n1)) = n0 ),
inference(resolution,[status(thm)],[f1010,f9559]) ).
fof(f11155,plain,
( ~ gt(n5,n0)
| pred(n5) = n1
| pred(n5) = n0
| ~ leq(n4,n1) ),
inference(paramodulation,[status(thm)],[f3313,f1010]) ).
fof(f11156,plain,
( ~ gt(n2,n0)
| pred(n2) = n1
| pred(n2) = n0
| ~ leq(n1,n1) ),
inference(paramodulation,[status(thm)],[f3004,f1010]) ).
fof(f11159,definition,
( sQ412_spl
<=> pred(pred(n1)) = n0 ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f11160,plain,
( ~ sQ412_spl
| pred(pred(n1)) = n0 ),
inference(component_clause,[status(thm)],[f11159]) ).
fof(f11162,definition,
( sQ413_spl
<=> pred(pred(n1)) = n1 ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f11163,plain,
( ~ sQ413_spl
| pred(pred(n1)) = n1 ),
inference(component_clause,[status(thm)],[f11162]) ).
fof(f11165,definition,
( sQ414_spl
<=> gt(pred(n1),n0) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f11168,plain,
( ~ sQ414_spl
| sQ413_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f11145,f11159,f11162,f11165]) ).
fof(f11169,definition,
( sQ415_spl
<=> pred(n1) = n1 ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f11170,plain,
( ~ sQ415_spl
| pred(n1) = n1 ),
inference(component_clause,[status(thm)],[f11169]) ).
fof(f11173,definition,
( sQ416_spl
<=> pred(n0) = n1 ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f11174,plain,
( ~ sQ416_spl
| pred(n0) = n1 ),
inference(component_clause,[status(thm)],[f11173]) ).
fof(f11177,definition,
( sQ417_spl
<=> pred(n4) = n1 ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f11178,plain,
( ~ sQ417_spl
| pred(n4) = n1 ),
inference(component_clause,[status(thm)],[f11177]) ).
fof(f11181,definition,
( sQ418_spl
<=> pred(n3) = n1 ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f11182,plain,
( ~ sQ418_spl
| pred(n3) = n1 ),
inference(component_clause,[status(thm)],[f11181]) ).
fof(f11185,definition,
( sQ419_spl
<=> pred(n5) = n1 ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f11186,plain,
( ~ sQ419_spl
| pred(n5) = n1 ),
inference(component_clause,[status(thm)],[f11185]) ).
fof(f11188,plain,
( ~ sQ147_spl
| sQ419_spl
| sQ387_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f11155,f9351,f10718,f11185,f4006]) ).
fof(f11189,definition,
( sQ420_spl
<=> pred(n2) = n1 ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f11192,plain,
( ~ sQ90_spl
| sQ420_spl
| sQ388_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f11156,f2936,f10722,f11189,f1740]) ).
fof(f11196,plain,
( ~ sQ281_spl
| ~ sQ280_spl
| n1 = n2 ),
inference(forward_demodulation,[status(thm)],[f8916,f8919]) ).
fof(f11197,plain,
( ~ sQ281_spl
| ~ sQ280_spl
| sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11196,f1026]) ).
fof(f11198,plain,
( ~ sQ281_spl
| ~ sQ280_spl
| sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f11197]) ).
fof(f11199,plain,
( ~ sQ282_spl
| ~ sQ280_spl
| n1 = n3 ),
inference(forward_demodulation,[status(thm)],[f8916,f8922]) ).
fof(f11200,plain,
( ~ sQ282_spl
| ~ sQ280_spl
| sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11199,f1276]) ).
fof(f11201,plain,
( ~ sQ282_spl
| ~ sQ280_spl
| sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f11200]) ).
fof(f11202,plain,
( ~ sQ415_spl
| n0 = n1 ),
inference(forward_demodulation,[status(thm)],[f955,f11170]) ).
fof(f11203,plain,
( ~ sQ415_spl
| sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11202,f1033]) ).
fof(f11204,plain,
( ~ sQ415_spl
| sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f11203]) ).
fof(f11205,plain,
( ~ sQ283_spl
| ~ sQ280_spl
| n1 = n4 ),
inference(forward_demodulation,[status(thm)],[f8916,f8925]) ).
fof(f11206,plain,
( ~ sQ283_spl
| ~ sQ280_spl
| sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11205,f2597]) ).
fof(f11207,plain,
( ~ sQ283_spl
| ~ sQ280_spl
| sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f11206]) ).
fof(f11208,plain,
( ~ sQ171_spl
| ~ sQ54_spl
| gt(a_select2(s_values7,n2),a_select2(s_values7,n2)) ),
inference(forward_demodulation,[status(thm)],[f797,f5307]) ).
fof(f11209,plain,
( ~ sQ171_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11208,f91]) ).
fof(f11210,plain,
( ~ sQ171_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f11209]) ).
fof(f11211,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f580,f8017]) ).
fof(f11212,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f11211]) ).
fof(f11213,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f577,f8021]) ).
fof(f11214,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f11213]) ).
fof(f11217,plain,
( ~ sQ416_spl
| tptp_minus_1 = n1 ),
inference(forward_demodulation,[status(thm)],[f741,f11174]) ).
fof(f11218,plain,
( ~ sQ416_spl
| sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11217,f2327]) ).
fof(f11219,plain,
( ~ sQ416_spl
| sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f11218]) ).
fof(f11220,plain,
( sQ293_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9142,f10341]) ).
fof(f11221,plain,
sQ293_spl,
inference(contradiction_clause,[status(thm)],[f11220]) ).
fof(f11224,plain,
( ~ sQ413_spl
| pred(n0) = n1 ),
inference(forward_demodulation,[status(thm)],[f955,f11163]) ).
fof(f11225,plain,
( ~ sQ413_spl
| tptp_minus_1 = n1 ),
inference(forward_demodulation,[status(thm)],[f741,f11224]) ).
fof(f11226,plain,
( ~ sQ413_spl
| sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11225,f2327]) ).
fof(f11227,plain,
( ~ sQ413_spl
| sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f11226]) ).
fof(f11228,plain,
( ~ sQ412_spl
| pred(n0) = n0 ),
inference(forward_demodulation,[status(thm)],[f955,f11160]) ).
fof(f11229,plain,
( ~ sQ407_spl
| n0 = n1 ),
inference(forward_demodulation,[status(thm)],[f199,f11068]) ).
fof(f11230,plain,
( ~ sQ407_spl
| sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11229,f1033]) ).
fof(f11231,plain,
( ~ sQ407_spl
| sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f11230]) ).
fof(f11232,plain,
( ~ sQ390_spl
| ~ sQ378_spl
| gt(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f10537,f10765]) ).
fof(f11233,plain,
( ~ sQ390_spl
| ~ sQ378_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11232,f91]) ).
fof(f11234,plain,
( ~ sQ390_spl
| ~ sQ378_spl ),
inference(contradiction_clause,[status(thm)],[f11233]) ).
fof(f11235,plain,
( ~ sQ338_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9749,f3029]) ).
fof(f11236,plain,
~ sQ338_spl,
inference(contradiction_clause,[status(thm)],[f11235]) ).
fof(f11241,plain,
( sQ313_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9338,f92]) ).
fof(f11242,plain,
sQ313_spl,
inference(contradiction_clause,[status(thm)],[f11241]) ).
fof(f11263,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f8016]) ).
fof(f11264,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f11263]) ).
fof(f11265,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f625,f8020]) ).
fof(f11266,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f11265]) ).
fof(f11372,plain,
( ~ sQ388_spl
| succ(n0) = n2 ),
inference(paramodulation,[status(thm)],[f10723,f212]) ).
fof(f11389,plain,
( ~ sQ388_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f11372,f8918,f10722]) ).
fof(f11410,plain,
( ~ sQ387_spl
| succ(n0) = n5 ),
inference(paramodulation,[status(thm)],[f10719,f212]) ).
fof(f11424,plain,
( ~ sQ387_spl
| n1 = n5 ),
inference(forward_demodulation,[status(thm)],[f306,f11410]) ).
fof(f11425,plain,
( ~ sQ387_spl
| sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11424,f2691]) ).
fof(f11426,plain,
( ~ sQ387_spl
| sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f11425]) ).
fof(f11428,plain,
( ~ sQ386_spl
| n0 = n2 ),
inference(backward_demodulation,[status(thm)],[f10715,f3376]) ).
fof(f11450,plain,
( ~ sQ386_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f11428,f988,f10714]) ).
fof(f11466,plain,
( ~ sQ385_spl
| n0 = n3 ),
inference(backward_demodulation,[status(thm)],[f10711,f7846]) ).
fof(f11488,plain,
( ~ sQ385_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f11466,f1084,f10710]) ).
fof(f11504,plain,
( ~ gt(pred(pred(n1)),n0)
| pred(pred(n1)) = n1
| pred(pred(n1)) = n0 ),
inference(resolution,[status(thm)],[f1011,f9559]) ).
fof(f11510,plain,
! [X0] :
( ~ leq(n0,n1)
| ~ gt(uniform_int_rnd(X0,n1),n0)
| uniform_int_rnd(X0,n1) = n1
| uniform_int_rnd(X0,n1) = n0 ),
inference(resolution,[status(thm)],[f1011,f121]) ).
fof(f11521,definition,
( sQ427_spl
<=> gt(pred(pred(n1)),n0) ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f11524,plain,
( ~ sQ427_spl
| sQ413_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f11504,f11159,f11162,f11521]) ).
fof(f11527,definition,
! [X0] :
( sQ428_spl
<=> ( ~ gt(uniform_int_rnd(X0,n1),n0)
| uniform_int_rnd(X0,n1) = n1
| uniform_int_rnd(X0,n1) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).
fof(f11530,plain,
( ~ sQ74_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f11510,f11527,f1028]) ).
fof(f11552,plain,
( ~ sQ382_spl
| gt(n0,pred(n1)) ),
inference(paramodulation,[status(thm)],[f10681,f8806]) ).
fof(f11582,plain,
( ~ sQ382_spl
| gt(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f955,f11552]) ).
fof(f11583,plain,
( ~ sQ382_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11582,f91]) ).
fof(f11584,plain,
~ sQ382_spl,
inference(contradiction_clause,[status(thm)],[f11583]) ).
fof(f11585,plain,
( ~ sQ381_spl
| n0 = n5 ),
inference(backward_demodulation,[status(thm)],[f10675,f3302]) ).
fof(f11615,plain,
( ~ sQ381_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f11585,f3282,f10674]) ).
fof(f11621,plain,
( ~ sQ380_spl
| n0 = n3 ),
inference(backward_demodulation,[status(thm)],[f10671,f3365]) ).
fof(f11651,plain,
( ~ sQ380_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f11621,f1084,f10670]) ).
fof(f11664,plain,
( ~ sQ379_spl
| leq(n3,n0) ),
inference(paramodulation,[status(thm)],[f10667,f8831]) ).
fof(f11691,plain,
( ~ sQ379_spl
| sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11664,f1205]) ).
fof(f11692,plain,
( ~ sQ379_spl
| sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f11691]) ).
fof(f11816,plain,
( ~ sQ412_spl
| gt(n0,pred(n0)) ),
inference(paramodulation,[status(thm)],[f11228,f8436]) ).
fof(f11836,plain,
( ~ sQ412_spl
| gt(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f11228,f11816]) ).
fof(f11837,plain,
( ~ sQ412_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11836,f91]) ).
fof(f11838,plain,
~ sQ412_spl,
inference(contradiction_clause,[status(thm)],[f11837]) ).
fof(f11914,plain,
! [X0] :
( ~ leq(n0,n0)
| ~ leq(n1,X0)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f1012,f954]) ).
fof(f11915,plain,
! [X0] :
( ~ gt(n1,n0)
| ~ leq(n0,X0)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f1012,f952]) ).
fof(f11916,plain,
! [X0,X1,X2] :
( ~ leq(n0,n0)
| ~ leq(n0,X2)
| ~ leq(uniform_int_rnd(X1,X2),X0)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f1012,f926]) ).
fof(f11918,plain,
! [X0] :
( ~ sQ54_spl
| ~ leq(n0,n2)
| ~ leq(n3,X0)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1) ),
inference(resolution,[status(thm)],[f1012,f8058]) ).
fof(f11932,definition,
! [X0] :
( sQ432_spl
<=> ( ~ leq(n1,X0)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1) ) ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f11935,plain,
( ~ sQ68_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f11914,f11932,f995]) ).
fof(f11936,definition,
! [X0] :
( sQ433_spl
<=> ( ~ leq(n0,X0)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1) ) ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f11939,plain,
( ~ sQ92_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f11915,f11936,f1751]) ).
fof(f11940,definition,
! [X0,X1,X2] :
( sQ434_spl
<=> ( ~ leq(n0,X2)
| ~ leq(uniform_int_rnd(X1,X2),X0)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1) ) ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f11943,plain,
( ~ sQ68_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f11916,f11940,f995]) ).
fof(f11948,definition,
! [X0] :
( sQ436_spl
<=> ( ~ leq(n3,X0)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1) ) ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f11951,plain,
( ~ sQ54_spl
| ~ sQ76_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f11918,f11948,f1068,f796]) ).
fof(f11952,definition,
! [X0] :
( sQ437_spl
<=> ( ~ leq(n2,X0)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1) ) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f12022,plain,
( sQ380_spl
| n3 != n0 ),
inference(forward_demodulation,[status(thm)],[f3365,f10672]) ).
fof(f12061,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)],[f1061,f121]) ).
fof(f12069,plain,
! [X0] :
( ~ sQ378_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)],[f10537,f1061]) ).
fof(f12070,definition,
! [X0] :
( sQ438_spl
<=> ( uniform_int_rnd(X0,n2) = n2
| uniform_int_rnd(X0,n2) = n1
| uniform_int_rnd(X0,n2) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f12073,plain,
( ~ sQ76_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f12061,f12070,f1068]) ).
fof(f12074,definition,
! [X0] :
( sQ439_spl
<=> ( uniform_int_rnd(X0,n0) = n2
| uniform_int_rnd(X0,n0) = n1
| uniform_int_rnd(X0,n0) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f12077,plain,
( ~ sQ378_spl
| ~ sQ68_spl
| sQ439_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f12069,f1068,f12074,f995,f10536]) ).
fof(f12086,plain,
( ~ leq(n0,n2)
| succ(n2) = n2
| succ(n2) = n1
| succ(n2) = n0
| ~ leq(n3,n2) ),
inference(paramodulation,[status(thm)],[f3365,f1063]) ).
fof(f12088,plain,
( ~ leq(n0,n1)
| succ(n1) = n2
| succ(n1) = n1
| succ(n1) = n0
| ~ leq(n2,n2) ),
inference(paramodulation,[status(thm)],[f2993,f1063]) ).
fof(f12094,definition,
( sQ440_spl
<=> succ(n3) = n2 ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f12095,plain,
( ~ sQ440_spl
| succ(n3) = n2 ),
inference(component_clause,[status(thm)],[f12094]) ).
fof(f12098,plain,
( ~ sQ76_spl
| sQ274_spl
| sQ404_spl
| sQ380_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f12086,f2962,f10670,f11051,f8750,f1068]) ).
fof(f12099,definition,
( sQ441_spl
<=> succ(n4) = n2 ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f12100,plain,
( ~ sQ441_spl
| succ(n4) = n2 ),
inference(component_clause,[status(thm)],[f12099]) ).
fof(f12103,definition,
( sQ442_spl
<=> succ(n1) = n2 ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f12106,plain,
( ~ sQ74_spl
| sQ442_spl
| sQ406_spl
| sQ382_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f12088,f3021,f10680,f11063,f12103,f1028]) ).
fof(f12114,definition,
( sQ443_spl
<=> succ(tptp_minus_1) = n2 ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f12115,plain,
( ~ sQ443_spl
| succ(tptp_minus_1) = n2 ),
inference(component_clause,[status(thm)],[f12114]) ).
fof(f12121,plain,
( ~ sQ443_spl
| n0 = n2 ),
inference(forward_demodulation,[status(thm)],[f199,f12115]) ).
fof(f12122,plain,
( ~ sQ443_spl
| sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12121,f990]) ).
fof(f12123,plain,
( ~ sQ443_spl
| sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f12122]) ).
fof(f12125,plain,
( ~ gt(pred(n2),n0)
| pred(pred(n2)) = n2
| pred(pred(n2)) = n1
| pred(pred(n2)) = n0 ),
inference(resolution,[status(thm)],[f1064,f9559]) ).
fof(f12135,plain,
( ~ gt(n3,n0)
| pred(n3) = n2
| pred(n3) = n1
| pred(n3) = n0
| ~ leq(n2,n2) ),
inference(paramodulation,[status(thm)],[f3376,f1064]) ).
fof(f12140,definition,
( sQ444_spl
<=> pred(pred(n2)) = n0 ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f12143,definition,
( sQ445_spl
<=> pred(pred(n2)) = n1 ),
introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).
fof(f12144,plain,
( ~ sQ445_spl
| pred(pred(n2)) = n1 ),
inference(component_clause,[status(thm)],[f12143]) ).
fof(f12146,definition,
( sQ446_spl
<=> pred(pred(n2)) = n2 ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f12147,plain,
( ~ sQ446_spl
| pred(pred(n2)) = n2 ),
inference(component_clause,[status(thm)],[f12146]) ).
fof(f12149,definition,
( sQ447_spl
<=> gt(pred(n2),n0) ),
introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).
fof(f12151,plain,
( sQ447_spl
| ~ gt(pred(n2),n0) ),
inference(component_clause,[status(thm)],[f12149]) ).
fof(f12152,plain,
( ~ sQ447_spl
| sQ446_spl
| sQ445_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f12125,f12140,f12143,f12146,f12149]) ).
fof(f12153,definition,
( sQ448_spl
<=> pred(n2) = n2 ),
introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).
fof(f12154,plain,
( ~ sQ448_spl
| pred(n2) = n2 ),
inference(component_clause,[status(thm)],[f12153]) ).
fof(f12157,definition,
( sQ449_spl
<=> pred(n4) = n2 ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f12158,plain,
( ~ sQ449_spl
| pred(n4) = n2 ),
inference(component_clause,[status(thm)],[f12157]) ).
fof(f12161,definition,
( sQ450_spl
<=> pred(n3) = n2 ),
introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).
fof(f12164,plain,
( ~ sQ80_spl
| sQ450_spl
| sQ418_spl
| sQ386_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f12135,f3021,f10714,f11181,f12161,f1207]) ).
fof(f12165,definition,
( sQ451_spl
<=> pred(n5) = n2 ),
introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition]) ).
fof(f12166,plain,
( ~ sQ451_spl
| pred(n5) = n2 ),
inference(component_clause,[status(thm)],[f12165]) ).
fof(f12170,definition,
( sQ452_spl
<=> pred(n1) = n2 ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f12171,plain,
( ~ sQ452_spl
| pred(n1) = n2 ),
inference(component_clause,[status(thm)],[f12170]) ).
fof(f12177,plain,
( ~ sQ448_spl
| n1 = n2 ),
inference(forward_demodulation,[status(thm)],[f3004,f12154]) ).
fof(f12178,plain,
( ~ sQ448_spl
| sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12177,f1026]) ).
fof(f12179,plain,
( ~ sQ448_spl
| sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f12178]) ).
fof(f12180,plain,
( ~ sQ452_spl
| n0 = n2 ),
inference(forward_demodulation,[status(thm)],[f955,f12171]) ).
fof(f12181,plain,
( ~ sQ452_spl
| sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12180,f990]) ).
fof(f12182,plain,
( ~ sQ452_spl
| sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f12181]) ).
fof(f12183,plain,
( sQ447_spl
| ~ gt(n1,n0) ),
inference(forward_demodulation,[status(thm)],[f3004,f12151]) ).
fof(f12184,plain,
( sQ447_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12183,f280]) ).
fof(f12185,plain,
sQ447_spl,
inference(contradiction_clause,[status(thm)],[f12184]) ).
fof(f12186,plain,
( ~ sQ446_spl
| pred(n1) = n2 ),
inference(forward_demodulation,[status(thm)],[f3004,f12147]) ).
fof(f12187,plain,
( ~ sQ446_spl
| n0 = n2 ),
inference(forward_demodulation,[status(thm)],[f955,f12186]) ).
fof(f12188,plain,
( ~ sQ446_spl
| sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12187,f990]) ).
fof(f12189,plain,
( ~ sQ446_spl
| sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f12188]) ).
fof(f12190,plain,
( ~ sQ445_spl
| pred(n1) = n1 ),
inference(forward_demodulation,[status(thm)],[f3004,f12144]) ).
fof(f12191,plain,
( ~ sQ445_spl
| n0 = n1 ),
inference(forward_demodulation,[status(thm)],[f955,f12190]) ).
fof(f12192,plain,
( ~ sQ445_spl
| sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12191,f1033]) ).
fof(f12193,plain,
( ~ sQ445_spl
| sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f12192]) ).
fof(f12224,definition,
( sQ453_spl
<=> pred(n0) = n2 ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f12225,plain,
( ~ sQ453_spl
| pred(n0) = n2 ),
inference(component_clause,[status(thm)],[f12224]) ).
fof(f12235,plain,
( ~ sQ453_spl
| tptp_minus_1 = n2 ),
inference(forward_demodulation,[status(thm)],[f741,f12225]) ).
fof(f12236,plain,
( ~ sQ453_spl
| sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12235,f2456]) ).
fof(f12237,plain,
( ~ sQ453_spl
| sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f12236]) ).
fof(f12240,plain,
( ~ sQ406_spl
| n1 = n2 ),
inference(backward_demodulation,[status(thm)],[f11064,f2993]) ).
fof(f12271,plain,
( ~ sQ406_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f12240,f1024,f11063]) ).
fof(f12285,plain,
( ~ sQ274_spl
| n2 = n3 ),
inference(backward_demodulation,[status(thm)],[f8751,f3365]) ).
fof(f12316,plain,
( ~ sQ274_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f12285,f1353,f8750]) ).
fof(f12331,plain,
( ~ sQ405_spl
| leq(pred(n4),n1) ),
inference(paramodulation,[status(thm)],[f11056,f10334]) ).
fof(f12362,plain,
( ~ sQ405_spl
| leq(n3,n1) ),
inference(forward_demodulation,[status(thm)],[f7846,f12331]) ).
fof(f12363,plain,
( ~ sQ405_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12362,f7970]) ).
fof(f12364,plain,
~ sQ405_spl,
inference(contradiction_clause,[status(thm)],[f12363]) ).
fof(f12370,plain,
( ~ sQ404_spl
| gt(n1,pred(n2)) ),
inference(paramodulation,[status(thm)],[f11052,f8806]) ).
fof(f12400,plain,
( ~ sQ404_spl
| gt(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f3004,f12370]) ).
fof(f12401,plain,
( ~ sQ404_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12400,f91]) ).
fof(f12402,plain,
~ sQ404_spl,
inference(contradiction_clause,[status(thm)],[f12401]) ).
fof(f12406,plain,
( ~ sQ403_spl
| leq(pred(n3),n1) ),
inference(paramodulation,[status(thm)],[f11048,f10334]) ).
fof(f12437,plain,
( ~ sQ403_spl
| leq(n2,n1) ),
inference(forward_demodulation,[status(thm)],[f3376,f12406]) ).
fof(f12438,plain,
( ~ sQ403_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12437,f3000]) ).
fof(f12439,plain,
~ sQ403_spl,
inference(contradiction_clause,[status(thm)],[f12438]) ).
fof(f12487,plain,
~ gt(pred(n2),n3),
inference(paramodulation,[status(thm)],[f3365,f9413]) ).
fof(f12517,plain,
~ gt(n1,n3),
inference(forward_demodulation,[status(thm)],[f3004,f12487]) ).
fof(f12564,plain,
( ~ sQ441_spl
| leq(pred(n4),n2) ),
inference(paramodulation,[status(thm)],[f12100,f10334]) ).
fof(f12595,plain,
( ~ sQ441_spl
| leq(n3,n2) ),
inference(forward_demodulation,[status(thm)],[f7846,f12564]) ).
fof(f12596,plain,
( ~ sQ441_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12595,f5345]) ).
fof(f12597,plain,
~ sQ441_spl,
inference(contradiction_clause,[status(thm)],[f12596]) ).
fof(f12603,plain,
( ~ sQ440_spl
| gt(n2,pred(n3)) ),
inference(paramodulation,[status(thm)],[f12095,f8806]) ).
fof(f12633,plain,
( ~ sQ440_spl
| gt(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f3376,f12603]) ).
fof(f12634,plain,
( ~ sQ440_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12633,f91]) ).
fof(f12635,plain,
~ sQ440_spl,
inference(contradiction_clause,[status(thm)],[f12634]) ).
fof(f12656,plain,
( ~ sQ418_spl
| succ(n1) = n3 ),
inference(paramodulation,[status(thm)],[f11182,f212]) ).
fof(f12671,plain,
( ~ sQ418_spl
| n2 = n3 ),
inference(forward_demodulation,[status(thm)],[f2993,f12656]) ).
fof(f12672,plain,
( ~ sQ418_spl
| sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12671,f1355]) ).
fof(f12673,plain,
( ~ sQ418_spl
| sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f12672]) ).
fof(f12694,plain,
( ~ sQ419_spl
| succ(n1) = n5 ),
inference(paramodulation,[status(thm)],[f11186,f212]) ).
fof(f12709,plain,
( ~ sQ419_spl
| n2 = n5 ),
inference(forward_demodulation,[status(thm)],[f2993,f12694]) ).
fof(f12710,plain,
( ~ sQ419_spl
| sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12709,f3273]) ).
fof(f12711,plain,
( ~ sQ419_spl
| sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f12710]) ).
fof(f12712,plain,
( ~ sQ417_spl
| n1 = n3 ),
inference(backward_demodulation,[status(thm)],[f11178,f7846]) ).
fof(f12735,plain,
( ~ sQ417_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f12712,f1274,f11177]) ).
fof(f12769,plain,
( ~ sQ451_spl
| succ(n2) = n5 ),
inference(paramodulation,[status(thm)],[f12166,f212]) ).
fof(f12783,plain,
( ~ sQ451_spl
| n3 = n5 ),
inference(forward_demodulation,[status(thm)],[f3365,f12769]) ).
fof(f12784,plain,
( ~ sQ451_spl
| sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12783,f2626]) ).
fof(f12785,plain,
( ~ sQ451_spl
| sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f12784]) ).
fof(f12826,plain,
! [X0] :
( ~ leq(n0,n2)
| ~ gt(uniform_int_rnd(X0,n2),n0)
| uniform_int_rnd(X0,n2) = n2
| uniform_int_rnd(X0,n2) = n1
| uniform_int_rnd(X0,n2) = n0 ),
inference(resolution,[status(thm)],[f1065,f121]) ).
fof(f12845,definition,
! [X0] :
( sQ459_spl
<=> ( ~ gt(uniform_int_rnd(X0,n2),n0)
| uniform_int_rnd(X0,n2) = n2
| uniform_int_rnd(X0,n2) = n1
| uniform_int_rnd(X0,n2) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).
fof(f12848,plain,
( ~ sQ76_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f12826,f12845,f1068]) ).
fof(f12875,plain,
( ~ sQ449_spl
| succ(n2) = n4 ),
inference(paramodulation,[status(thm)],[f12158,f212]) ).
fof(f12892,plain,
( ~ sQ449_spl
| n3 = n4 ),
inference(forward_demodulation,[status(thm)],[f3365,f12875]) ).
fof(f12893,plain,
( ~ sQ449_spl
| sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12892,f2573]) ).
fof(f12894,plain,
( ~ sQ449_spl
| sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f12893]) ).
fof(f12900,plain,
( sQ294_spl
| ~ gt(n2,tptp_minus_1) ),
inference(resolution,[status(thm)],[f9146,f105]) ).
fof(f12902,plain,
( sQ294_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12900,f276]) ).
fof(f12903,plain,
sQ294_spl,
inference(contradiction_clause,[status(thm)],[f12902]) ).
fof(f12959,plain,
! [X0] :
( ~ leq(n0,n0)
| ~ leq(n1,X0)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2) ),
inference(resolution,[status(thm)],[f1066,f954]) ).
fof(f12960,plain,
! [X0] :
( ~ gt(n1,n0)
| ~ leq(n0,X0)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2) ),
inference(resolution,[status(thm)],[f1066,f952]) ).
fof(f12961,plain,
! [X0,X1,X2] :
( ~ leq(n0,n0)
| ~ leq(n0,X2)
| ~ leq(uniform_int_rnd(X1,X2),X0)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2) ),
inference(resolution,[status(thm)],[f1066,f926]) ).
fof(f12963,plain,
! [X0] :
( ~ sQ54_spl
| ~ leq(n0,n2)
| ~ leq(n3,X0)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2) ),
inference(resolution,[status(thm)],[f1066,f8058]) ).
fof(f12977,definition,
! [X0] :
( sQ461_spl
<=> ( ~ leq(n1,X0)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2) ) ),
introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).
fof(f12980,plain,
( ~ sQ68_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f12959,f12977,f995]) ).
fof(f12981,definition,
! [X0] :
( sQ462_spl
<=> ( ~ leq(n0,X0)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2) ) ),
introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).
fof(f12984,plain,
( ~ sQ92_spl
| sQ462_spl ),
inference(split_clause,[status(thm)],[f12960,f12981,f1751]) ).
fof(f12985,definition,
! [X0,X1,X2] :
( sQ463_spl
<=> ( ~ leq(n0,X2)
| ~ leq(uniform_int_rnd(X1,X2),X0)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2) ) ),
introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition]) ).
fof(f12988,plain,
( ~ sQ68_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f12961,f12985,f995]) ).
fof(f12993,definition,
! [X0] :
( sQ465_spl
<=> ( ~ leq(n3,X0)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2) ) ),
introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).
fof(f12996,plain,
( ~ sQ54_spl
| ~ sQ76_spl
| sQ465_spl ),
inference(split_clause,[status(thm)],[f12963,f12993,f1068,f796]) ).
fof(f12997,definition,
! [X0] :
( sQ466_spl
<=> ( ~ leq(n2,X0)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2) ) ),
introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).
fof(f13004,plain,
! [X0] :
( ~ leq(n0,n3)
| ~ leq(n0,n3)
| uniform_int_rnd(X0,n3) = n3
| uniform_int_rnd(X0,n3) = n2
| uniform_int_rnd(X0,n3) = n1
| uniform_int_rnd(X0,n3) = n0 ),
inference(resolution,[status(thm)],[f1073,f121]) ).
fof(f13010,plain,
! [X0] :
( ~ sQ378_spl
| ~ leq(n0,n0)
| uniform_int_rnd(X0,n0) = n3
| uniform_int_rnd(X0,n0) = n2
| uniform_int_rnd(X0,n0) = n1
| uniform_int_rnd(X0,n0) = n0
| ~ leq(n0,n3) ),
inference(paramodulation,[status(thm)],[f10537,f1073]) ).
fof(f13011,definition,
! [X0] :
( sQ467_spl
<=> ( uniform_int_rnd(X0,n3) = n3
| uniform_int_rnd(X0,n3) = n2
| uniform_int_rnd(X0,n3) = n1
| uniform_int_rnd(X0,n3) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).
fof(f13014,plain,
( ~ sQ77_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f13004,f13011,f1081]) ).
fof(f13015,definition,
! [X0] :
( sQ468_spl
<=> ( uniform_int_rnd(X0,n0) = n3
| uniform_int_rnd(X0,n0) = n2
| uniform_int_rnd(X0,n0) = n1
| uniform_int_rnd(X0,n0) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f13018,plain,
( ~ sQ378_spl
| ~ sQ68_spl
| sQ468_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f13010,f1081,f13015,f995,f10536]) ).
fof(f13021,plain,
( sQ77_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f1392,f1207,f1081]) ).
fof(f13051,definition,
( sQ469_spl
<=> leq(s_sworst7,n4) ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f13053,plain,
( sQ469_spl
| ~ leq(s_sworst7,n4) ),
inference(component_clause,[status(thm)],[f13051]) ).
fof(f13058,definition,
( sQ471_spl
<=> leq(s_sworst7,n5) ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f13060,plain,
( sQ471_spl
| ~ leq(s_sworst7,n5) ),
inference(component_clause,[status(thm)],[f13058]) ).
fof(f13096,plain,
( ~ sQ48_spl
| leq(n0,n3) ),
inference(backward_demodulation,[status(thm)],[f776,f256]) ).
fof(f13103,plain,
( sQ28_spl
| ~ leq(s_sworst7,n3)
| ~ leq(n0,s_sworst7) ),
inference(resolution,[status(thm)],[f854,f874]) ).
fof(f13104,plain,
( sQ28_spl
| ~ sQ15_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f13103,f555,f564,f609]) ).
fof(f13292,plain,
( ~ sQ14_spl
| pv1388 = n3
| pv1388 = n2
| pv1388 = n1
| pv1388 = n0
| ~ leq(pv1388,n3) ),
inference(resolution,[status(thm)],[f562,f303]) ).
fof(f13293,plain,
( ~ sQ14_spl
| pv1388 = n1
| pv1388 = n0
| ~ leq(pv1388,n1) ),
inference(resolution,[status(thm)],[f562,f299]) ).
fof(f13294,plain,
( ~ sQ14_spl
| pv1388 = n2
| pv1388 = n1
| pv1388 = n0
| ~ leq(pv1388,n2) ),
inference(resolution,[status(thm)],[f562,f301]) ).
fof(f13295,plain,
( ~ sQ14_spl
| pv1388 = n0
| ~ leq(pv1388,n0) ),
inference(resolution,[status(thm)],[f562,f297]) ).
fof(f13296,plain,
( ~ sQ14_spl
| ~ gt(n0,pv1388) ),
inference(resolution,[status(thm)],[f562,f8570]) ).
fof(f13302,plain,
( ~ sQ14_spl
| gt(pv1388,n0)
| n0 = pv1388 ),
inference(resolution,[status(thm)],[f562,f107]) ).
fof(f13304,definition,
( sQ473_spl
<=> leq(pv1388,n4) ),
introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).
fof(f13306,plain,
( sQ473_spl
| ~ leq(pv1388,n4) ),
inference(component_clause,[status(thm)],[f13304]) ).
fof(f13307,definition,
( sQ474_spl
<=> pv1388 = n1 ),
introduced(definition,[new_symbols(definition,[sQ474_spl])],[split_symbol_definition]) ).
fof(f13308,plain,
( ~ sQ474_spl
| pv1388 = n1 ),
inference(component_clause,[status(thm)],[f13307]) ).
fof(f13310,definition,
( sQ475_spl
<=> pv1388 = n4 ),
introduced(definition,[new_symbols(definition,[sQ475_spl])],[split_symbol_definition]) ).
fof(f13311,plain,
( ~ sQ475_spl
| pv1388 = n4 ),
inference(component_clause,[status(thm)],[f13310]) ).
fof(f13314,definition,
( sQ476_spl
<=> leq(pv1388,n5) ),
introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition]) ).
fof(f13316,plain,
( sQ476_spl
| ~ leq(pv1388,n5) ),
inference(component_clause,[status(thm)],[f13314]) ).
fof(f13317,definition,
( sQ477_spl
<=> pv1388 = n5 ),
introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition]) ).
fof(f13318,plain,
( ~ sQ477_spl
| pv1388 = n5 ),
inference(component_clause,[status(thm)],[f13317]) ).
fof(f13321,plain,
( ~ sQ14_spl
| sQ46_spl
| sQ54_spl
| sQ474_spl
| sQ222_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f13292,f570,f6666,f13307,f796,f768,f561]) ).
fof(f13322,definition,
( sQ478_spl
<=> leq(pv1388,n1) ),
introduced(definition,[new_symbols(definition,[sQ478_spl])],[split_symbol_definition]) ).
fof(f13325,plain,
( ~ sQ14_spl
| sQ474_spl
| sQ222_spl
| ~ sQ478_spl ),
inference(split_clause,[status(thm)],[f13293,f13322,f6666,f13307,f561]) ).
fof(f13326,definition,
( sQ479_spl
<=> leq(pv1388,n2) ),
introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition]) ).
fof(f13328,plain,
( sQ479_spl
| ~ leq(pv1388,n2) ),
inference(component_clause,[status(thm)],[f13326]) ).
fof(f13329,plain,
( ~ sQ14_spl
| sQ54_spl
| sQ474_spl
| sQ222_spl
| ~ sQ479_spl ),
inference(split_clause,[status(thm)],[f13294,f13326,f6666,f13307,f796,f561]) ).
fof(f13330,definition,
( sQ480_spl
<=> leq(pv1388,n0) ),
introduced(definition,[new_symbols(definition,[sQ480_spl])],[split_symbol_definition]) ).
fof(f13333,plain,
( ~ sQ14_spl
| sQ222_spl
| ~ sQ480_spl ),
inference(split_clause,[status(thm)],[f13295,f13330,f6666,f561]) ).
fof(f13334,definition,
( sQ481_spl
<=> gt(pv1388,n0) ),
introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition]) ).
fof(f13337,plain,
( ~ sQ14_spl
| sQ481_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f13302,f6666,f13334,f561]) ).
fof(f13357,plain,
( ~ sQ474_spl
| leq(n2,n1) ),
inference(backward_demodulation,[status(thm)],[f13308,f257]) ).
fof(f13363,plain,
( ~ sQ474_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13357,f3000]) ).
fof(f13364,plain,
~ sQ474_spl,
inference(contradiction_clause,[status(thm)],[f13363]) ).
fof(f13401,plain,
( ~ sQ50_spl
| ~ sQ155_spl
| n2 = n3 ),
inference(forward_demodulation,[status(thm)],[f4441,f783]) ).
fof(f13402,plain,
( ~ sQ50_spl
| ~ sQ155_spl
| sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13401,f1355]) ).
fof(f13403,plain,
( ~ sQ50_spl
| ~ sQ155_spl
| sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f13402]) ).
fof(f13481,plain,
( ~ sQ55_spl
| gt(pv1388,n1) ),
inference(resolution,[status(thm)],[f800,f907]) ).
fof(f13503,plain,
! [X0] :
( ~ sQ52_spl
| leq(X0,n3)
| ~ leq(X0,n0) ),
inference(forward_demodulation,[status(thm)],[f790,f1140]) ).
fof(f13512,plain,
! [X0] :
( ~ sQ52_spl
| ~ leq(n3,X0)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f13503,f1066]) ).
fof(f13513,plain,
! [X0] :
( ~ sQ52_spl
| ~ leq(n3,X0)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f13503,f1012]) ).
fof(f13514,plain,
! [X0] :
( ~ sQ52_spl
| ~ leq(n3,X0)
| X0 = n0
| ~ leq(X0,n0)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f13503,f979]) ).
fof(f13535,plain,
( ~ sQ52_spl
| sQ465_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f13512,f995,f12993,f789]) ).
fof(f13536,plain,
( ~ sQ52_spl
| sQ436_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f13513,f995,f11948,f789]) ).
fof(f13537,plain,
( ~ sQ52_spl
| sQ399_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f13514,f995,f10950,f789]) ).
fof(f13548,plain,
( sQ299_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f9233,f1081,f9183]) ).
fof(f13598,plain,
( sQ9_spl
| ~ sQ60_spl
| ~ gt(a_select2(s_values7,pv1388),a_select2(s_values7,n0)) ),
inference(forward_demodulation,[status(thm)],[f818,f547]) ).
fof(f13599,plain,
! [X0] :
( sQ9_spl
| ~ sQ60_spl
| a_select2(s_values7,pv1388) = a_select2(s_values7,n0)
| gt(X0,a_select2(s_values7,pv1388))
| ~ gt(X0,a_select2(s_values7,n0)) ),
inference(resolution,[status(thm)],[f13598,f734]) ).
fof(f13603,plain,
( sQ9_spl
| ~ sQ60_spl
| a_select2(s_values7,n0) = a_select2(s_values7,pv1388)
| gt(a_select2(s_values7,n0),a_select2(s_values7,pv1388)) ),
inference(resolution,[status(thm)],[f13598,f87]) ).
fof(f13604,definition,
! [X0] :
( sQ484_spl
<=> ( gt(X0,a_select2(s_values7,pv1388))
| ~ gt(X0,a_select2(s_values7,n0)) ) ),
introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition]) ).
fof(f13607,definition,
( sQ485_spl
<=> a_select2(s_values7,pv1388) = a_select2(s_values7,n0) ),
introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition]) ).
fof(f13610,plain,
( sQ9_spl
| ~ sQ60_spl
| sQ485_spl
| sQ484_spl ),
inference(split_clause,[status(thm)],[f13599,f13604,f13607,f817,f545]) ).
fof(f13611,definition,
( sQ486_spl
<=> gt(a_select2(s_values7,n0),a_select2(s_values7,pv1388)) ),
introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).
fof(f13614,plain,
( sQ9_spl
| ~ sQ60_spl
| sQ485_spl
| sQ486_spl ),
inference(split_clause,[status(thm)],[f13603,f13611,f13607,f817,f545]) ).
fof(f13617,plain,
( ~ sQ55_spl
| gt(pv1388,n0) ),
inference(resolution,[status(thm)],[f13481,f754]) ).
fof(f13622,plain,
( ~ sQ55_spl
| sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13617,f6112]) ).
fof(f13623,plain,
( ~ sQ55_spl
| sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f13622]) ).
fof(f13624,plain,
( sQ287_spl
| ~ leq(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f306,f8941]) ).
fof(f13625,plain,
( sQ287_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13624,f92]) ).
fof(f13626,plain,
sQ287_spl,
inference(contradiction_clause,[status(thm)],[f13625]) ).
fof(f13627,plain,
( sQ286_spl
| ~ leq(n1,n3) ),
inference(forward_demodulation,[status(thm)],[f306,f8937]) ).
fof(f13628,plain,
( sQ286_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13627,f2820]) ).
fof(f13629,plain,
( sQ286_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f13628]) ).
fof(f13630,plain,
( sQ288_spl
| ~ leq(n1,n2) ),
inference(forward_demodulation,[status(thm)],[f306,f8945]) ).
fof(f13631,plain,
( sQ288_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13630,f2907]) ).
fof(f13632,plain,
( sQ288_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f13631]) ).
fof(f13633,plain,
( sQ278_spl
| ~ leq(n1,n4) ),
inference(forward_demodulation,[status(thm)],[f306,f8911]) ).
fof(f13634,plain,
( sQ278_spl
| ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13633,f3137]) ).
fof(f13635,plain,
( sQ278_spl
| ~ sQ136_spl ),
inference(contradiction_clause,[status(thm)],[f13634]) ).
fof(f13638,plain,
( ~ sQ14_spl
| ~ sQ223_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13296,f6671]) ).
fof(f13639,plain,
( ~ sQ14_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f13638]) ).
fof(f13640,plain,
( ~ sQ222_spl
| sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6689,f987]) ).
fof(f13641,plain,
( ~ sQ222_spl
| sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f13640]) ).
fof(f13663,definition,
( sQ487_spl
<=> leq(s_best7,n4) ),
introduced(definition,[new_symbols(definition,[sQ487_spl])],[split_symbol_definition]) ).
fof(f13665,plain,
( sQ487_spl
| ~ leq(s_best7,n4) ),
inference(component_clause,[status(thm)],[f13663]) ).
fof(f13666,definition,
( sQ488_spl
<=> s_best7 = n4 ),
introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition]) ).
fof(f13667,plain,
( ~ sQ488_spl
| s_best7 = n4 ),
inference(component_clause,[status(thm)],[f13666]) ).
fof(f13670,definition,
( sQ489_spl
<=> leq(s_best7,n5) ),
introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition]) ).
fof(f13672,plain,
( sQ489_spl
| ~ leq(s_best7,n5) ),
inference(component_clause,[status(thm)],[f13670]) ).
fof(f13673,definition,
( sQ490_spl
<=> s_best7 = n5 ),
introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition]) ).
fof(f13674,plain,
( ~ sQ490_spl
| s_best7 = n5 ),
inference(component_clause,[status(thm)],[f13673]) ).
fof(f13693,plain,
( ~ sQ47_spl
| ~ sQ475_spl
| gt(n3,n4) ),
inference(backward_demodulation,[status(thm)],[f13311,f772]) ).
fof(f13700,plain,
( ~ sQ47_spl
| ~ sQ475_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13693,f3006]) ).
fof(f13701,plain,
( ~ sQ47_spl
| ~ sQ475_spl ),
inference(contradiction_clause,[status(thm)],[f13700]) ).
fof(f13718,plain,
( ~ sQ477_spl
| ~ sQ54_spl
| n2 = n5 ),
inference(backward_demodulation,[status(thm)],[f797,f13318]) ).
fof(f13719,plain,
( ~ sQ477_spl
| ~ sQ54_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f13718,f3271,f796,f13317]) ).
fof(f13766,plain,
( ~ sQ488_spl
| ~ sQ52_spl
| n3 = n4 ),
inference(forward_demodulation,[status(thm)],[f790,f13667]) ).
fof(f13767,plain,
( ~ sQ488_spl
| ~ sQ52_spl
| sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13766,f2573]) ).
fof(f13768,plain,
( ~ sQ488_spl
| ~ sQ52_spl
| sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f13767]) ).
fof(f13784,plain,
( ~ sQ490_spl
| ~ sQ60_spl
| n0 = n5 ),
inference(backward_demodulation,[status(thm)],[f818,f13674]) ).
fof(f13785,plain,
( ~ sQ490_spl
| ~ sQ60_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f13784,f3282,f817,f13673]) ).
fof(f13792,plain,
( sQ64_spl
| ~ sQ60_spl
| ~ leq(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f818,f983]) ).
fof(f13793,plain,
( sQ64_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13792,f92]) ).
fof(f13794,plain,
( sQ64_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f13793]) ).
fof(f13819,plain,
( ~ sQ285_spl
| n1 = n5 ),
inference(forward_demodulation,[status(thm)],[f306,f8932]) ).
fof(f13820,plain,
( ~ sQ285_spl
| sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13819,f2691]) ).
fof(f13821,plain,
( ~ sQ285_spl
| sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f13820]) ).
fof(f13822,plain,
( sQ284_spl
| ~ leq(n1,n5) ),
inference(forward_demodulation,[status(thm)],[f306,f8930]) ).
fof(f13823,plain,
( sQ284_spl
| ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13822,f3276]) ).
fof(f13824,plain,
( sQ284_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f13823]) ).
fof(f13833,plain,
( ~ sQ228_spl
| ~ sQ48_spl
| n3 = n5 ),
inference(forward_demodulation,[status(thm)],[f776,f6799]) ).
fof(f13834,plain,
( ~ sQ228_spl
| ~ sQ48_spl
| sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13833,f2626]) ).
fof(f13835,plain,
( ~ sQ228_spl
| ~ sQ48_spl
| sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f13834]) ).
fof(f13836,plain,
( sQ227_spl
| ~ sQ48_spl
| ~ leq(n3,n5) ),
inference(forward_demodulation,[status(thm)],[f776,f6797]) ).
fof(f13837,plain,
( sQ227_spl
| ~ sQ48_spl
| ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13836,f5122]) ).
fof(f13838,plain,
( sQ227_spl
| ~ sQ48_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f13837]) ).
fof(f13841,plain,
( sQ179_spl
| ~ sQ48_spl
| ~ leq(n3,n4) ),
inference(forward_demodulation,[status(thm)],[f776,f5919]) ).
fof(f13842,plain,
( sQ179_spl
| ~ sQ48_spl
| ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13841,f3141]) ).
fof(f13843,plain,
( sQ179_spl
| ~ sQ48_spl
| ~ sQ137_spl ),
inference(contradiction_clause,[status(thm)],[f13842]) ).
fof(f13844,plain,
( ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4685,f8807]) ).
fof(f13845,plain,
~ sQ159_spl,
inference(contradiction_clause,[status(thm)],[f13844]) ).
fof(f13846,plain,
( sQ11_spl
| s_best7_init != init ),
inference(forward_demodulation,[status(thm)],[f731,f554]) ).
fof(f13847,plain,
( sQ11_spl
| s_best7_init != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f13846]) ).
fof(f13848,plain,
( sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13847]) ).
fof(f13849,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f13848]) ).
fof(f13856,plain,
( sQ5_spl
| s_best7_init != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f535]) ).
fof(f13857,plain,
( sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13856]) ).
fof(f13858,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f13857]) ).
fof(f13859,plain,
( sQ23_spl
| ~ sQ60_spl
| ~ leq(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f818,f594]) ).
fof(f13860,plain,
( sQ23_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13859,f92]) ).
fof(f13861,plain,
( sQ23_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f13860]) ).
fof(f13862,plain,
( sQ10_spl
| s_best7_init != init ),
inference(forward_demodulation,[status(thm)],[f730,f551]) ).
fof(f13863,plain,
( sQ10_spl
| s_best7_init != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f251,f13862]) ).
fof(f13864,plain,
( sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13863]) ).
fof(f13865,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f13864]) ).
fof(f13880,plain,
( sQ244_spl
| ~ sQ60_spl
| ~ leq(n0,n2) ),
inference(forward_demodulation,[status(thm)],[f818,f7185]) ).
fof(f13881,plain,
( sQ244_spl
| ~ sQ60_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13880,f1069]) ).
fof(f13882,plain,
( sQ244_spl
| ~ sQ60_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f13881]) ).
fof(f13888,plain,
( sQ479_spl
| ~ sQ54_spl
| ~ leq(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f797,f13328]) ).
fof(f13889,plain,
( sQ479_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13888,f92]) ).
fof(f13890,plain,
( sQ479_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f13889]) ).
fof(f13893,plain,
( sQ476_spl
| ~ sQ54_spl
| ~ leq(n2,n5) ),
inference(forward_demodulation,[status(thm)],[f797,f13316]) ).
fof(f13894,plain,
( sQ476_spl
| ~ sQ54_spl
| ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13893,f3269]) ).
fof(f13895,plain,
( sQ476_spl
| ~ sQ54_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f13894]) ).
fof(f13897,plain,
( sQ473_spl
| ~ sQ54_spl
| ~ leq(n2,n4) ),
inference(forward_demodulation,[status(thm)],[f797,f13306]) ).
fof(f13898,plain,
( sQ473_spl
| ~ sQ54_spl
| ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13897,f3133]) ).
fof(f13899,plain,
( sQ473_spl
| ~ sQ54_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f13898]) ).
fof(f13901,plain,
( sQ471_spl
| ~ sQ155_spl
| ~ leq(n2,n5) ),
inference(forward_demodulation,[status(thm)],[f4441,f13060]) ).
fof(f13902,plain,
( sQ471_spl
| ~ sQ155_spl
| ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13901,f3269]) ).
fof(f13903,plain,
( sQ471_spl
| ~ sQ155_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f13902]) ).
fof(f13913,plain,
( sQ469_spl
| ~ sQ154_spl
| ~ leq(n1,n4) ),
inference(forward_demodulation,[status(thm)],[f4438,f13053]) ).
fof(f13914,plain,
( sQ469_spl
| ~ sQ154_spl
| ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13913,f3137]) ).
fof(f13915,plain,
( sQ469_spl
| ~ sQ154_spl
| ~ sQ136_spl ),
inference(contradiction_clause,[status(thm)],[f13914]) ).
fof(f13932,plain,
( sQ489_spl
| ~ sQ60_spl
| ~ leq(n0,n5) ),
inference(forward_demodulation,[status(thm)],[f818,f13672]) ).
fof(f13933,plain,
( sQ489_spl
| ~ sQ60_spl
| ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13932,f3280]) ).
fof(f13934,plain,
( sQ489_spl
| ~ sQ60_spl
| ~ sQ144_spl ),
inference(contradiction_clause,[status(thm)],[f13933]) ).
fof(f13936,plain,
( sQ487_spl
| ~ sQ60_spl
| ~ leq(n0,n4) ),
inference(forward_demodulation,[status(thm)],[f818,f13665]) ).
fof(f13937,plain,
( sQ487_spl
| ~ sQ60_spl
| ~ sQ303_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13936,f9321]) ).
fof(f13938,plain,
( sQ487_spl
| ~ sQ60_spl
| ~ sQ303_spl ),
inference(contradiction_clause,[status(thm)],[f13937]) ).
fof(f13963,definition,
( sQ495_spl
<=> a_select2(s_values7,n2) = a_select2(s_values7,n1) ),
introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition]) ).
fof(f13966,definition,
( sQ496_spl
<=> gt(a_select2(s_values7,n1),a_select2(s_values7,n2)) ),
introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition]) ).
fof(f13985,plain,
( plus(n0,n2) = n3
| plus(n0,n2) = n2
| plus(n0,n2) = n1
| plus(n0,n2) = n0
| ~ leq(plus(n0,n2),n3) ),
inference(resolution,[status(thm)],[f10831,f303]) ).
fof(f13986,plain,
( plus(n0,n2) = n1
| plus(n0,n2) = n0
| ~ leq(plus(n0,n2),n1) ),
inference(resolution,[status(thm)],[f10831,f299]) ).
fof(f13988,plain,
( plus(n0,n2) = n0
| ~ leq(plus(n0,n2),n0) ),
inference(resolution,[status(thm)],[f10831,f297]) ).
fof(f14007,definition,
( sQ497_spl
<=> leq(plus(n0,n2),n4) ),
introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition]) ).
fof(f14009,plain,
( sQ497_spl
| ~ leq(plus(n0,n2),n4) ),
inference(component_clause,[status(thm)],[f14007]) ).
fof(f14010,definition,
( sQ498_spl
<=> plus(n0,n2) = n0 ),
introduced(definition,[new_symbols(definition,[sQ498_spl])],[split_symbol_definition]) ).
fof(f14011,plain,
( ~ sQ498_spl
| plus(n0,n2) = n0 ),
inference(component_clause,[status(thm)],[f14010]) ).
fof(f14013,definition,
( sQ499_spl
<=> plus(n0,n2) = n1 ),
introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition]) ).
fof(f14014,plain,
( ~ sQ499_spl
| plus(n0,n2) = n1 ),
inference(component_clause,[status(thm)],[f14013]) ).
fof(f14016,definition,
( sQ500_spl
<=> plus(n0,n2) = n2 ),
introduced(definition,[new_symbols(definition,[sQ500_spl])],[split_symbol_definition]) ).
fof(f14019,definition,
( sQ501_spl
<=> plus(n0,n2) = n3 ),
introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).
fof(f14020,plain,
( ~ sQ501_spl
| plus(n0,n2) = n3 ),
inference(component_clause,[status(thm)],[f14019]) ).
fof(f14022,definition,
( sQ502_spl
<=> plus(n0,n2) = n4 ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f14023,plain,
( ~ sQ502_spl
| plus(n0,n2) = n4 ),
inference(component_clause,[status(thm)],[f14022]) ).
fof(f14026,definition,
( sQ503_spl
<=> leq(plus(n0,n2),n5) ),
introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition]) ).
fof(f14028,plain,
( sQ503_spl
| ~ leq(plus(n0,n2),n5) ),
inference(component_clause,[status(thm)],[f14026]) ).
fof(f14029,definition,
( sQ504_spl
<=> plus(n0,n2) = n5 ),
introduced(definition,[new_symbols(definition,[sQ504_spl])],[split_symbol_definition]) ).
fof(f14030,plain,
( ~ sQ504_spl
| plus(n0,n2) = n5 ),
inference(component_clause,[status(thm)],[f14029]) ).
fof(f14033,definition,
( sQ505_spl
<=> leq(plus(n0,n2),n3) ),
introduced(definition,[new_symbols(definition,[sQ505_spl])],[split_symbol_definition]) ).
fof(f14035,plain,
( sQ505_spl
| ~ leq(plus(n0,n2),n3) ),
inference(component_clause,[status(thm)],[f14033]) ).
fof(f14036,plain,
( sQ501_spl
| sQ500_spl
| sQ499_spl
| sQ498_spl
| ~ sQ505_spl ),
inference(split_clause,[status(thm)],[f13985,f14033,f14010,f14013,f14016,f14019]) ).
fof(f14037,definition,
( sQ506_spl
<=> leq(plus(n0,n2),n1) ),
introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition]) ).
fof(f14040,plain,
( sQ499_spl
| sQ498_spl
| ~ sQ506_spl ),
inference(split_clause,[status(thm)],[f13986,f14037,f14010,f14013]) ).
fof(f14041,definition,
( sQ507_spl
<=> leq(plus(n0,n2),n2) ),
introduced(definition,[new_symbols(definition,[sQ507_spl])],[split_symbol_definition]) ).
fof(f14043,plain,
( sQ507_spl
| ~ leq(plus(n0,n2),n2) ),
inference(component_clause,[status(thm)],[f14041]) ).
fof(f14045,definition,
( sQ508_spl
<=> leq(plus(n0,n2),n0) ),
introduced(definition,[new_symbols(definition,[sQ508_spl])],[split_symbol_definition]) ).
fof(f14048,plain,
( sQ498_spl
| ~ sQ508_spl ),
inference(split_clause,[status(thm)],[f13988,f14045,f14010]) ).
fof(f14050,plain,
( ~ sQ501_spl
| n2 = n3 ),
inference(forward_demodulation,[status(thm)],[f4860,f14020]) ).
fof(f14051,plain,
( ~ sQ501_spl
| sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14050,f1355]) ).
fof(f14052,plain,
( ~ sQ501_spl
| sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f14051]) ).
fof(f14053,plain,
( ~ sQ502_spl
| n2 = n4 ),
inference(forward_demodulation,[status(thm)],[f4860,f14023]) ).
fof(f14054,plain,
( ~ sQ502_spl
| sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14053,f3065]) ).
fof(f14055,plain,
( ~ sQ502_spl
| sQ134_spl ),
inference(contradiction_clause,[status(thm)],[f14054]) ).
fof(f14057,plain,
( sQ507_spl
| ~ leq(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f4860,f14043]) ).
fof(f14058,plain,
( sQ507_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14057,f92]) ).
fof(f14059,plain,
sQ507_spl,
inference(contradiction_clause,[status(thm)],[f14058]) ).
fof(f14061,plain,
( sQ505_spl
| ~ leq(n2,n3) ),
inference(forward_demodulation,[status(thm)],[f4860,f14035]) ).
fof(f14062,plain,
( sQ505_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14061,f2831]) ).
fof(f14063,plain,
( sQ505_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f14062]) ).
fof(f14064,plain,
( ~ sQ504_spl
| n2 = n5 ),
inference(forward_demodulation,[status(thm)],[f4860,f14030]) ).
fof(f14065,plain,
( ~ sQ504_spl
| sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14064,f3273]) ).
fof(f14066,plain,
( ~ sQ504_spl
| sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f14065]) ).
fof(f14067,plain,
( sQ503_spl
| ~ leq(n2,n5) ),
inference(forward_demodulation,[status(thm)],[f4860,f14028]) ).
fof(f14068,plain,
( sQ503_spl
| ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14067,f3269]) ).
fof(f14069,plain,
( sQ503_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f14068]) ).
fof(f14070,plain,
( sQ497_spl
| ~ leq(n2,n4) ),
inference(forward_demodulation,[status(thm)],[f4860,f14009]) ).
fof(f14071,plain,
( sQ497_spl
| ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14070,f3133]) ).
fof(f14072,plain,
( sQ497_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f14071]) ).
fof(f14086,plain,
( plus(n2,n0) = n3
| plus(n2,n0) = n2
| plus(n2,n0) = n1
| plus(n2,n0) = n0
| ~ leq(plus(n2,n0),n3) ),
inference(resolution,[status(thm)],[f10837,f303]) ).
fof(f14087,plain,
( plus(n2,n0) = n1
| plus(n2,n0) = n0
| ~ leq(plus(n2,n0),n1) ),
inference(resolution,[status(thm)],[f10837,f299]) ).
fof(f14089,plain,
( plus(n2,n0) = n0
| ~ leq(plus(n2,n0),n0) ),
inference(resolution,[status(thm)],[f10837,f297]) ).
fof(f14109,definition,
( sQ509_spl
<=> leq(plus(n2,n0),n4) ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f14111,plain,
( sQ509_spl
| ~ leq(plus(n2,n0),n4) ),
inference(component_clause,[status(thm)],[f14109]) ).
fof(f14112,definition,
( sQ510_spl
<=> plus(n2,n0) = n0 ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f14113,plain,
( ~ sQ510_spl
| plus(n2,n0) = n0 ),
inference(component_clause,[status(thm)],[f14112]) ).
fof(f14115,definition,
( sQ511_spl
<=> plus(n2,n0) = n1 ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f14116,plain,
( ~ sQ511_spl
| plus(n2,n0) = n1 ),
inference(component_clause,[status(thm)],[f14115]) ).
fof(f14118,definition,
( sQ512_spl
<=> plus(n2,n0) = n2 ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f14121,definition,
( sQ513_spl
<=> plus(n2,n0) = n3 ),
introduced(definition,[new_symbols(definition,[sQ513_spl])],[split_symbol_definition]) ).
fof(f14122,plain,
( ~ sQ513_spl
| plus(n2,n0) = n3 ),
inference(component_clause,[status(thm)],[f14121]) ).
fof(f14124,definition,
( sQ514_spl
<=> plus(n2,n0) = n4 ),
introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).
fof(f14125,plain,
( ~ sQ514_spl
| plus(n2,n0) = n4 ),
inference(component_clause,[status(thm)],[f14124]) ).
fof(f14128,definition,
( sQ515_spl
<=> leq(plus(n2,n0),n5) ),
introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition]) ).
fof(f14130,plain,
( sQ515_spl
| ~ leq(plus(n2,n0),n5) ),
inference(component_clause,[status(thm)],[f14128]) ).
fof(f14131,definition,
( sQ516_spl
<=> plus(n2,n0) = n5 ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f14132,plain,
( ~ sQ516_spl
| plus(n2,n0) = n5 ),
inference(component_clause,[status(thm)],[f14131]) ).
fof(f14135,definition,
( sQ517_spl
<=> leq(plus(n2,n0),n3) ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f14137,plain,
( sQ517_spl
| ~ leq(plus(n2,n0),n3) ),
inference(component_clause,[status(thm)],[f14135]) ).
fof(f14138,plain,
( sQ513_spl
| sQ512_spl
| sQ511_spl
| sQ510_spl
| ~ sQ517_spl ),
inference(split_clause,[status(thm)],[f14086,f14135,f14112,f14115,f14118,f14121]) ).
fof(f14139,definition,
( sQ518_spl
<=> leq(plus(n2,n0),n1) ),
introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).
fof(f14142,plain,
( sQ511_spl
| sQ510_spl
| ~ sQ518_spl ),
inference(split_clause,[status(thm)],[f14087,f14139,f14112,f14115]) ).
fof(f14143,definition,
( sQ519_spl
<=> leq(plus(n2,n0),n2) ),
introduced(definition,[new_symbols(definition,[sQ519_spl])],[split_symbol_definition]) ).
fof(f14145,plain,
( sQ519_spl
| ~ leq(plus(n2,n0),n2) ),
inference(component_clause,[status(thm)],[f14143]) ).
fof(f14147,definition,
( sQ520_spl
<=> leq(plus(n2,n0),n0) ),
introduced(definition,[new_symbols(definition,[sQ520_spl])],[split_symbol_definition]) ).
fof(f14150,plain,
( sQ510_spl
| ~ sQ520_spl ),
inference(split_clause,[status(thm)],[f14089,f14147,f14112]) ).
fof(f14152,plain,
( ~ sQ513_spl
| n2 = n3 ),
inference(forward_demodulation,[status(thm)],[f4834,f14122]) ).
fof(f14153,plain,
( ~ sQ513_spl
| sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14152,f1355]) ).
fof(f14154,plain,
( ~ sQ513_spl
| sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f14153]) ).
fof(f14155,plain,
( ~ sQ514_spl
| n2 = n4 ),
inference(forward_demodulation,[status(thm)],[f4834,f14125]) ).
fof(f14156,plain,
( ~ sQ514_spl
| sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14155,f3065]) ).
fof(f14157,plain,
( ~ sQ514_spl
| sQ134_spl ),
inference(contradiction_clause,[status(thm)],[f14156]) ).
fof(f14159,plain,
( sQ519_spl
| ~ leq(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f4834,f14145]) ).
fof(f14160,plain,
( sQ519_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14159,f92]) ).
fof(f14161,plain,
sQ519_spl,
inference(contradiction_clause,[status(thm)],[f14160]) ).
fof(f14163,plain,
( sQ517_spl
| ~ leq(n2,n3) ),
inference(forward_demodulation,[status(thm)],[f4834,f14137]) ).
fof(f14164,plain,
( sQ517_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14163,f2831]) ).
fof(f14165,plain,
( sQ517_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f14164]) ).
fof(f14166,plain,
( ~ sQ516_spl
| n2 = n5 ),
inference(forward_demodulation,[status(thm)],[f4834,f14132]) ).
fof(f14167,plain,
( ~ sQ516_spl
| sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14166,f3273]) ).
fof(f14168,plain,
( ~ sQ516_spl
| sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f14167]) ).
fof(f14169,plain,
( sQ515_spl
| ~ leq(n2,n5) ),
inference(forward_demodulation,[status(thm)],[f4834,f14130]) ).
fof(f14170,plain,
( sQ515_spl
| ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14169,f3269]) ).
fof(f14171,plain,
( sQ515_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f14170]) ).
fof(f14172,plain,
( sQ509_spl
| ~ leq(n2,n4) ),
inference(forward_demodulation,[status(thm)],[f4834,f14111]) ).
fof(f14173,plain,
( sQ509_spl
| ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14172,f3133]) ).
fof(f14174,plain,
( sQ509_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f14173]) ).
fof(f14204,plain,
( ~ leq(n0,n2)
| succ(n2) = n3
| succ(n2) = n2
| succ(n2) = n1
| succ(n2) = n0
| ~ leq(n3,n3) ),
inference(paramodulation,[status(thm)],[f3365,f1075]) ).
fof(f14211,definition,
( sQ521_spl
<=> succ(n3) = n3 ),
introduced(definition,[new_symbols(definition,[sQ521_spl])],[split_symbol_definition]) ).
fof(f14212,plain,
( ~ sQ521_spl
| succ(n3) = n3 ),
inference(component_clause,[status(thm)],[f14211]) ).
fof(f14215,definition,
( sQ522_spl
<=> succ(n4) = n3 ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f14216,plain,
( ~ sQ522_spl
| succ(n4) = n3 ),
inference(component_clause,[status(thm)],[f14215]) ).
fof(f14219,definition,
( sQ523_spl
<=> succ(n2) = n3 ),
introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition]) ).
fof(f14222,plain,
( ~ sQ76_spl
| sQ523_spl
| sQ274_spl
| sQ404_spl
| sQ380_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f14204,f4249,f10670,f11051,f8750,f14219,f1068]) ).
fof(f14223,definition,
( sQ524_spl
<=> succ(n1) = n3 ),
introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).
fof(f14224,plain,
( ~ sQ524_spl
| succ(n1) = n3 ),
inference(component_clause,[status(thm)],[f14223]) ).
fof(f14236,definition,
( sQ525_spl
<=> succ(tptp_minus_1) = n3 ),
introduced(definition,[new_symbols(definition,[sQ525_spl])],[split_symbol_definition]) ).
fof(f14237,plain,
( ~ sQ525_spl
| succ(tptp_minus_1) = n3 ),
inference(component_clause,[status(thm)],[f14236]) ).
fof(f14244,plain,
( ~ sQ525_spl
| n0 = n3 ),
inference(forward_demodulation,[status(thm)],[f199,f14237]) ).
fof(f14245,plain,
( ~ sQ525_spl
| sQ380_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14244,f12022]) ).
fof(f14246,plain,
( ~ sQ525_spl
| sQ380_spl ),
inference(contradiction_clause,[status(thm)],[f14245]) ).
fof(f14247,plain,
( ~ sQ524_spl
| n2 = n3 ),
inference(forward_demodulation,[status(thm)],[f2993,f14224]) ).
fof(f14248,plain,
( ~ sQ524_spl
| sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14247,f1355]) ).
fof(f14249,plain,
( ~ sQ524_spl
| sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f14248]) ).
fof(f14259,plain,
( ~ sQ522_spl
| gt(n3,pred(n4)) ),
inference(paramodulation,[status(thm)],[f14216,f8806]) ).
fof(f14291,plain,
( ~ sQ522_spl
| gt(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f7846,f14259]) ).
fof(f14292,plain,
( ~ sQ522_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14291,f91]) ).
fof(f14293,plain,
~ sQ522_spl,
inference(contradiction_clause,[status(thm)],[f14292]) ).
fof(f14294,plain,
( ~ sQ521_spl
| n3 = n4 ),
inference(backward_demodulation,[status(thm)],[f14212,f7519]) ).
fof(f14326,plain,
( ~ sQ521_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f14294,f2571,f14211]) ).
fof(f14451,plain,
( ~ gt(pred(n3),n0)
| pred(pred(n3)) = n3
| pred(pred(n3)) = n2
| pred(pred(n3)) = n1
| pred(pred(n3)) = n0 ),
inference(resolution,[status(thm)],[f1076,f9559]) ).
fof(f14457,plain,
( ~ gt(n4,n0)
| pred(n4) = n3
| pred(n4) = n2
| pred(n4) = n1
| pred(n4) = n0
| ~ leq(n3,n3) ),
inference(paramodulation,[status(thm)],[f7846,f1076]) ).
fof(f14464,definition,
( sQ526_spl
<=> pred(pred(n3)) = n0 ),
introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition]) ).
fof(f14465,plain,
( ~ sQ526_spl
| pred(pred(n3)) = n0 ),
inference(component_clause,[status(thm)],[f14464]) ).
fof(f14467,definition,
( sQ527_spl
<=> pred(pred(n3)) = n1 ),
introduced(definition,[new_symbols(definition,[sQ527_spl])],[split_symbol_definition]) ).
fof(f14470,definition,
( sQ528_spl
<=> pred(pred(n3)) = n2 ),
introduced(definition,[new_symbols(definition,[sQ528_spl])],[split_symbol_definition]) ).
fof(f14471,plain,
( ~ sQ528_spl
| pred(pred(n3)) = n2 ),
inference(component_clause,[status(thm)],[f14470]) ).
fof(f14473,definition,
( sQ529_spl
<=> pred(pred(n3)) = n3 ),
introduced(definition,[new_symbols(definition,[sQ529_spl])],[split_symbol_definition]) ).
fof(f14474,plain,
( ~ sQ529_spl
| pred(pred(n3)) = n3 ),
inference(component_clause,[status(thm)],[f14473]) ).
fof(f14476,definition,
( sQ530_spl
<=> gt(pred(n3),n0) ),
introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).
fof(f14478,plain,
( sQ530_spl
| ~ gt(pred(n3),n0) ),
inference(component_clause,[status(thm)],[f14476]) ).
fof(f14479,plain,
( ~ sQ530_spl
| sQ529_spl
| sQ528_spl
| sQ527_spl
| sQ526_spl ),
inference(split_clause,[status(thm)],[f14451,f14464,f14467,f14470,f14473,f14476]) ).
fof(f14480,definition,
( sQ531_spl
<=> pred(n3) = n3 ),
introduced(definition,[new_symbols(definition,[sQ531_spl])],[split_symbol_definition]) ).
fof(f14481,plain,
( ~ sQ531_spl
| pred(n3) = n3 ),
inference(component_clause,[status(thm)],[f14480]) ).
fof(f14484,definition,
( sQ532_spl
<=> pred(n4) = n3 ),
introduced(definition,[new_symbols(definition,[sQ532_spl])],[split_symbol_definition]) ).
fof(f14487,plain,
( ~ sQ150_spl
| sQ532_spl
| sQ449_spl
| sQ417_spl
| sQ385_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f14457,f4249,f10710,f11177,f12157,f14484,f4210]) ).
fof(f14488,definition,
( sQ533_spl
<=> pred(n5) = n3 ),
introduced(definition,[new_symbols(definition,[sQ533_spl])],[split_symbol_definition]) ).
fof(f14489,plain,
( ~ sQ533_spl
| pred(n5) = n3 ),
inference(component_clause,[status(thm)],[f14488]) ).
fof(f14493,definition,
( sQ534_spl
<=> pred(n0) = n3 ),
introduced(definition,[new_symbols(definition,[sQ534_spl])],[split_symbol_definition]) ).
fof(f14494,plain,
( ~ sQ534_spl
| pred(n0) = n3 ),
inference(component_clause,[status(thm)],[f14493]) ).
fof(f14497,definition,
( sQ535_spl
<=> pred(n2) = n3 ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f14498,plain,
( ~ sQ535_spl
| pred(n2) = n3 ),
inference(component_clause,[status(thm)],[f14497]) ).
fof(f14501,definition,
( sQ536_spl
<=> pred(n1) = n3 ),
introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).
fof(f14502,plain,
( ~ sQ536_spl
| pred(n1) = n3 ),
inference(component_clause,[status(thm)],[f14501]) ).
fof(f14509,plain,
( ~ sQ531_spl
| n2 = n3 ),
inference(forward_demodulation,[status(thm)],[f3376,f14481]) ).
fof(f14510,plain,
( ~ sQ531_spl
| sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14509,f1355]) ).
fof(f14511,plain,
( ~ sQ531_spl
| sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f14510]) ).
fof(f14512,plain,
( ~ sQ536_spl
| n0 = n3 ),
inference(forward_demodulation,[status(thm)],[f955,f14502]) ).
fof(f14513,plain,
( ~ sQ536_spl
| sQ380_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14512,f12022]) ).
fof(f14514,plain,
( ~ sQ536_spl
| sQ380_spl ),
inference(contradiction_clause,[status(thm)],[f14513]) ).
fof(f14515,plain,
( ~ sQ535_spl
| n1 = n3 ),
inference(forward_demodulation,[status(thm)],[f3004,f14498]) ).
fof(f14516,plain,
( ~ sQ535_spl
| sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14515,f1276]) ).
fof(f14517,plain,
( ~ sQ535_spl
| sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f14516]) ).
fof(f14518,plain,
( ~ sQ534_spl
| tptp_minus_1 = n3 ),
inference(forward_demodulation,[status(thm)],[f741,f14494]) ).
fof(f14519,plain,
( ~ sQ534_spl
| sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14518,f2402]) ).
fof(f14520,plain,
( ~ sQ534_spl
| sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f14519]) ).
fof(f14521,plain,
( sQ530_spl
| ~ gt(n2,n0) ),
inference(forward_demodulation,[status(thm)],[f3376,f14478]) ).
fof(f14522,plain,
( sQ530_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14521,f281]) ).
fof(f14523,plain,
sQ530_spl,
inference(contradiction_clause,[status(thm)],[f14522]) ).
fof(f14524,plain,
( ~ sQ529_spl
| pred(n2) = n3 ),
inference(forward_demodulation,[status(thm)],[f3376,f14474]) ).
fof(f14525,plain,
( ~ sQ529_spl
| n1 = n3 ),
inference(forward_demodulation,[status(thm)],[f3004,f14524]) ).
fof(f14526,plain,
( ~ sQ529_spl
| sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14525,f1276]) ).
fof(f14527,plain,
( ~ sQ529_spl
| sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f14526]) ).
fof(f14528,plain,
( ~ sQ528_spl
| pred(n2) = n2 ),
inference(forward_demodulation,[status(thm)],[f3376,f14471]) ).
fof(f14529,plain,
( ~ sQ528_spl
| n1 = n2 ),
inference(forward_demodulation,[status(thm)],[f3004,f14528]) ).
fof(f14530,plain,
( ~ sQ528_spl
| sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14529,f1026]) ).
fof(f14531,plain,
( ~ sQ528_spl
| sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f14530]) ).
fof(f14533,plain,
( ~ sQ526_spl
| pred(n2) = n0 ),
inference(forward_demodulation,[status(thm)],[f3376,f14465]) ).
fof(f14553,plain,
! [X0] :
( ~ leq(n0,n3)
| ~ gt(uniform_int_rnd(X0,n3),n0)
| uniform_int_rnd(X0,n3) = n3
| uniform_int_rnd(X0,n3) = n2
| uniform_int_rnd(X0,n3) = n1
| uniform_int_rnd(X0,n3) = n0 ),
inference(resolution,[status(thm)],[f1077,f121]) ).
fof(f14562,plain,
( ~ gt(n3,n0)
| n3 = n3
| n3 = n2
| n3 = n1
| n3 = n0 ),
inference(resolution,[status(thm)],[f1077,f92]) ).
fof(f14563,definition,
( sQ537_spl
<=> gt(pred(pred(n3)),n0) ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f14565,plain,
( sQ537_spl
| ~ gt(pred(pred(n3)),n0) ),
inference(component_clause,[status(thm)],[f14563]) ).
fof(f14570,definition,
! [X0] :
( sQ538_spl
<=> ( ~ gt(uniform_int_rnd(X0,n3),n0)
| uniform_int_rnd(X0,n3) = n3
| uniform_int_rnd(X0,n3) = n2
| uniform_int_rnd(X0,n3) = n1
| uniform_int_rnd(X0,n3) = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition]) ).
fof(f14573,plain,
( ~ sQ77_spl
| sQ538_spl ),
inference(split_clause,[status(thm)],[f14553,f14570,f1081]) ).
fof(f14578,plain,
( ~ sQ80_spl
| sQ138_spl
| sQ85_spl
| sQ82_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f14562,f1084,f1274,f1353,f3143,f1207]) ).
fof(f14579,plain,
( sQ537_spl
| ~ gt(pred(n2),n0) ),
inference(forward_demodulation,[status(thm)],[f3376,f14565]) ).
fof(f14580,plain,
( sQ537_spl
| ~ gt(n1,n0) ),
inference(forward_demodulation,[status(thm)],[f3004,f14579]) ).
fof(f14581,plain,
( sQ537_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14580,f280]) ).
fof(f14582,plain,
sQ537_spl,
inference(contradiction_clause,[status(thm)],[f14581]) ).
fof(f14602,plain,
! [X0] :
( ~ leq(n0,n0)
| ~ leq(n1,X0)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f1078,f954]) ).
fof(f14603,plain,
! [X0] :
( ~ gt(n1,n0)
| ~ leq(n0,X0)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f1078,f952]) ).
fof(f14604,plain,
! [X0,X1,X2] :
( ~ leq(n0,n0)
| ~ leq(n0,X2)
| ~ leq(uniform_int_rnd(X1,X2),X0)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3) ),
inference(resolution,[status(thm)],[f1078,f926]) ).
fof(f14621,definition,
! [X0] :
( sQ539_spl
<=> ( ~ leq(n1,X0)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[sQ539_spl])],[split_symbol_definition]) ).
fof(f14624,plain,
( ~ sQ68_spl
| sQ539_spl ),
inference(split_clause,[status(thm)],[f14602,f14621,f995]) ).
fof(f14625,definition,
! [X0] :
( sQ540_spl
<=> ( ~ leq(n0,X0)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f14628,plain,
( ~ sQ92_spl
| sQ540_spl ),
inference(split_clause,[status(thm)],[f14603,f14625,f1751]) ).
fof(f14629,definition,
! [X0,X1,X2] :
( sQ541_spl
<=> ( ~ leq(n0,X2)
| ~ leq(uniform_int_rnd(X1,X2),X0)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition]) ).
fof(f14632,plain,
( ~ sQ68_spl
| sQ541_spl ),
inference(split_clause,[status(thm)],[f14604,f14629,f995]) ).
fof(f14637,definition,
! [X0] :
( sQ543_spl
<=> ( ~ leq(n2,X0)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).
fof(f14646,plain,
( sQ292_spl
| ~ gt(n3,tptp_minus_1) ),
inference(resolution,[status(thm)],[f9138,f105]) ).
fof(f14648,plain,
( sQ292_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14646,f277]) ).
fof(f14649,plain,
sQ292_spl,
inference(contradiction_clause,[status(thm)],[f14648]) ).
fof(f14650,plain,
( ~ sQ533_spl
| n3 = n4 ),
inference(backward_demodulation,[status(thm)],[f14489,f3313]) ).
fof(f14674,plain,
( ~ sQ533_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f14650,f2571,f14488]) ).
fof(f14695,plain,
( ~ sQ526_spl
| ~ gt(n2,n0)
| pred(n2) = n0
| ~ leq(n0,n0) ),
inference(paramodulation,[status(thm)],[f14533,f977]) ).
fof(f14719,plain,
( ~ sQ526_spl
| ~ sQ90_spl
| sQ388_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f14695,f995,f10722,f1740,f14464]) ).
fof(f14773,plain,
! [X0] :
( ~ gt(n2,X0)
| leq(X0,n1) ),
inference(forward_demodulation,[status(thm)],[f306,f1143]) ).
fof(f14803,plain,
! [X0] :
( leq(X0,n1)
| ~ leq(X0,n1)
| ~ gt(n2,n1) ),
inference(resolution,[status(thm)],[f14773,f742]) ).
fof(f14826,plain,
( sQ374_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f14803,f1757,f10431]) ).
fof(f15205,plain,
( ~ sQ377_spl
| gt(succ(n5),n0) ),
inference(resolution,[status(thm)],[f1158,f10489]) ).
fof(f15270,plain,
( ~ sQ498_spl
| ~ leq(n0,n0) ),
inference(paramodulation,[status(thm)],[f14011,f7944]) ).
fof(f15275,plain,
( ~ sQ498_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f15270,f995,f14010]) ).
fof(f15284,plain,
( ~ sQ499_spl
| plus(n4,n0) = plus(n1,n2) ),
inference(paramodulation,[status(thm)],[f14014,f4922]) ).
fof(f15286,plain,
( ~ sQ499_spl
| n4 = plus(n1,n2) ),
inference(forward_demodulation,[status(thm)],[f8534,f15284]) ).
fof(f15287,plain,
( ~ sQ499_spl
| n4 = succ(n2) ),
inference(forward_demodulation,[status(thm)],[f201,f15286]) ).
fof(f15288,plain,
( ~ sQ499_spl
| n4 = n3 ),
inference(forward_demodulation,[status(thm)],[f3365,f15287]) ).
fof(f15289,plain,
( ~ sQ499_spl
| sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15288,f2573]) ).
fof(f15290,plain,
( ~ sQ499_spl
| sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f15289]) ).
fof(f15291,plain,
( ~ sQ510_spl
| n0 = n2 ),
inference(backward_demodulation,[status(thm)],[f14113,f4834]) ).
fof(f15295,plain,
( ~ sQ510_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f15291,f988,f14112]) ).
fof(f15485,plain,
( ~ sQ377_spl
| gt(succ(n5),n1) ),
inference(resolution,[status(thm)],[f1240,f10489]) ).
fof(f15685,definition,
( sQ546_spl
<=> gt(n1,n2) ),
introduced(definition,[new_symbols(definition,[sQ546_spl])],[split_symbol_definition]) ).
fof(f15690,definition,
( sQ547_spl
<=> gt(n0,n2) ),
introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).
fof(f15704,plain,
( ~ sQ377_spl
| ~ gt(n0,succ(n5)) ),
inference(resolution,[status(thm)],[f15205,f736]) ).
fof(f15716,plain,
( ~ sQ511_spl
| n1 = n2 ),
inference(forward_demodulation,[status(thm)],[f14116,f4834]) ).
fof(f15717,plain,
( ~ sQ511_spl
| sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15716,f1026]) ).
fof(f15718,plain,
( ~ sQ511_spl
| sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f15717]) ).
fof(f15724,plain,
gt(succ(n5),n1),
inference(resolution,[status(thm)],[f1241,f112]) ).
fof(f15739,plain,
( ~ sQ377_spl
| gt(succ(n5),n3) ),
inference(resolution,[status(thm)],[f1244,f10489]) ).
fof(f15827,plain,
! [X0] :
( ~ sQ377_spl
| n0 = succ(n5)
| gt(X0,n0)
| ~ gt(X0,succ(n5)) ),
inference(resolution,[status(thm)],[f15704,f734]) ).
fof(f15831,plain,
( ~ sQ377_spl
| succ(n5) = n0
| gt(succ(n5),n0) ),
inference(resolution,[status(thm)],[f15704,f87]) ).
fof(f15832,definition,
( sQ548_spl
<=> n0 = succ(n5) ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f15833,plain,
( ~ sQ548_spl
| n0 = succ(n5) ),
inference(component_clause,[status(thm)],[f15832]) ).
fof(f15836,definition,
! [X0] :
( sQ549_spl
<=> ( gt(X0,n0)
| ~ gt(X0,succ(n5)) ) ),
introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition]) ).
fof(f15839,plain,
( ~ sQ377_spl
| sQ548_spl
| sQ549_spl ),
inference(split_clause,[status(thm)],[f15827,f15836,f15832,f10488]) ).
fof(f15840,definition,
( sQ550_spl
<=> gt(succ(n5),n0) ),
introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition]) ).
fof(f15843,plain,
( ~ sQ377_spl
| sQ548_spl
| sQ550_spl ),
inference(split_clause,[status(thm)],[f15831,f15840,f15832,f10488]) ).
fof(f15845,plain,
( ~ sQ377_spl
| ~ sQ548_spl
| gt(n0,n1) ),
inference(backward_demodulation,[status(thm)],[f15833,f15485]) ).
fof(f15886,plain,
( ~ sQ377_spl
| ~ sQ548_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15845,f2741]) ).
fof(f15887,plain,
( ~ sQ377_spl
| ~ sQ548_spl ),
inference(contradiction_clause,[status(thm)],[f15886]) ).
fof(f15893,plain,
gt(succ(n5),n3),
inference(resolution,[status(thm)],[f1245,f112]) ).
fof(f15914,plain,
~ gt(n1,succ(n5)),
inference(resolution,[status(thm)],[f15724,f736]) ).
fof(f15930,definition,
( sQ551_spl
<=> n1 = succ(n5) ),
introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition]) ).
fof(f15931,plain,
( ~ sQ551_spl
| n1 = succ(n5) ),
inference(component_clause,[status(thm)],[f15930]) ).
fof(f15934,definition,
! [X0] :
( sQ552_spl
<=> ( gt(X0,n1)
| ~ gt(X0,succ(n5)) ) ),
introduced(definition,[new_symbols(definition,[sQ552_spl])],[split_symbol_definition]) ).
fof(f15938,definition,
( sQ553_spl
<=> gt(succ(n5),n1) ),
introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition]) ).
fof(f15943,plain,
( ~ sQ377_spl
| ~ sQ551_spl
| gt(n1,n3) ),
inference(backward_demodulation,[status(thm)],[f15931,f15739]) ).
fof(f15980,plain,
( ~ sQ377_spl
| ~ sQ551_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15943,f12517]) ).
fof(f15981,plain,
( ~ sQ377_spl
| ~ sQ551_spl ),
inference(contradiction_clause,[status(thm)],[f15980]) ).
fof(f16061,plain,
! [X0] :
( ~ sQ60_spl
| leq(X0,n3)
| ~ leq(X0,n0) ),
inference(forward_demodulation,[status(thm)],[f818,f1381]) ).
fof(f16075,plain,
! [X0] :
( ~ sQ60_spl
| ~ leq(n3,X0)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f16061,f1078]) ).
fof(f16076,plain,
! [X0] :
( ~ sQ60_spl
| ~ leq(n3,X0)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f16061,f1066]) ).
fof(f16077,plain,
! [X0] :
( ~ sQ60_spl
| ~ leq(n3,X0)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f16061,f1012]) ).
fof(f16078,plain,
! [X0] :
( ~ sQ60_spl
| ~ leq(n3,X0)
| X0 = n0
| ~ leq(X0,n0)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f16061,f979]) ).
fof(f16103,definition,
! [X0] :
( sQ554_spl
<=> ( ~ leq(n3,X0)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).
fof(f16106,plain,
( ~ sQ60_spl
| sQ554_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f16075,f995,f16103,f817]) ).
fof(f16107,plain,
( ~ sQ60_spl
| sQ465_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f16076,f995,f12993,f817]) ).
fof(f16108,plain,
( ~ sQ60_spl
| sQ436_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f16077,f995,f11948,f817]) ).
fof(f16109,plain,
( ~ sQ60_spl
| sQ399_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f16078,f995,f10950,f817]) ).
fof(f16194,plain,
~ gt(n3,succ(n5)),
inference(resolution,[status(thm)],[f15893,f736]) ).
fof(f16197,plain,
! [X0] :
( n1 = succ(n5)
| gt(X0,n1)
| ~ gt(X0,succ(n5)) ),
inference(resolution,[status(thm)],[f15914,f734]) ).
fof(f16201,plain,
( succ(n5) = n1
| gt(succ(n5),n1) ),
inference(resolution,[status(thm)],[f15914,f87]) ).
fof(f16203,plain,
( sQ551_spl
| sQ552_spl ),
inference(split_clause,[status(thm)],[f16197,f15934,f15930]) ).
fof(f16204,plain,
( sQ551_spl
| sQ553_spl ),
inference(split_clause,[status(thm)],[f16201,f15938,f15930]) ).
fof(f16211,definition,
( sQ555_spl
<=> n3 = succ(n5) ),
introduced(definition,[new_symbols(definition,[sQ555_spl])],[split_symbol_definition]) ).
fof(f16212,plain,
( ~ sQ555_spl
| n3 = succ(n5) ),
inference(component_clause,[status(thm)],[f16211]) ).
fof(f16215,definition,
! [X0] :
( sQ556_spl
<=> ( gt(X0,n3)
| ~ gt(X0,succ(n5)) ) ),
introduced(definition,[new_symbols(definition,[sQ556_spl])],[split_symbol_definition]) ).
fof(f16219,definition,
( sQ557_spl
<=> gt(succ(n5),n3) ),
introduced(definition,[new_symbols(definition,[sQ557_spl])],[split_symbol_definition]) ).
fof(f16369,plain,
! [X0] :
( sQ65_spl
| uniform_int_rnd(X0,n0) = n0
| ~ leq(n0,n0)
| ~ gt(uniform_int_rnd(X0,n0),n2) ),
inference(resolution,[status(thm)],[f1761,f923]) ).
fof(f16371,plain,
( sQ65_spl
| ~ gt(pred(pred(n0)),n2) ),
inference(resolution,[status(thm)],[f1761,f8436]) ).
fof(f16380,definition,
( sQ559_spl
<=> gt(tptp_minus_1,n2) ),
introduced(definition,[new_symbols(definition,[sQ559_spl])],[split_symbol_definition]) ).
fof(f16388,definition,
! [X0] :
( sQ561_spl
<=> ( uniform_int_rnd(X0,n0) = n0
| ~ gt(uniform_int_rnd(X0,n0),n2) ) ),
introduced(definition,[new_symbols(definition,[sQ561_spl])],[split_symbol_definition]) ).
fof(f16391,plain,
( sQ65_spl
| ~ sQ68_spl
| sQ561_spl ),
inference(split_clause,[status(thm)],[f16369,f16388,f995,f985]) ).
fof(f16392,plain,
( sQ65_spl
| ~ gt(pred(tptp_minus_1),n2) ),
inference(forward_demodulation,[status(thm)],[f741,f16371]) ).
fof(f16398,plain,
( pred(tptp_minus_1) = n0
| ~ sP9_prd(pred(tptp_minus_1)) ),
inference(resolution,[status(thm)],[f1367,f8814]) ).
fof(f16399,plain,
( pred(pred(n0)) = n0
| ~ sP9_prd(pred(pred(n0))) ),
inference(resolution,[status(thm)],[f1367,f9559]) ).
fof(f16400,plain,
( pred(n0) = n0
| ~ sP9_prd(pred(n0)) ),
inference(resolution,[status(thm)],[f1367,f8807]) ).
fof(f16417,definition,
( sQ562_spl
<=> sP9_prd(pred(tptp_minus_1)) ),
introduced(definition,[new_symbols(definition,[sQ562_spl])],[split_symbol_definition]) ).
fof(f16420,plain,
( sQ322_spl
| ~ sQ562_spl ),
inference(split_clause,[status(thm)],[f16398,f16417,f9477]) ).
fof(f16421,definition,
( sQ563_spl
<=> sP9_prd(pred(pred(n0))) ),
introduced(definition,[new_symbols(definition,[sQ563_spl])],[split_symbol_definition]) ).
fof(f16424,plain,
( sQ321_spl
| ~ sQ563_spl ),
inference(split_clause,[status(thm)],[f16399,f16421,f9419]) ).
fof(f16425,definition,
( sQ564_spl
<=> sP9_prd(pred(n0)) ),
introduced(definition,[new_symbols(definition,[sQ564_spl])],[split_symbol_definition]) ).
fof(f16428,plain,
( sQ262_spl
| ~ sQ564_spl ),
inference(split_clause,[status(thm)],[f16400,f16425,f8466]) ).
fof(f16441,plain,
( ~ sQ555_spl
| gt(n3,n3) ),
inference(backward_demodulation,[status(thm)],[f16212,f15893]) ).
fof(f16486,plain,
( ~ sQ555_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16441,f91]) ).
fof(f16487,plain,
~ sQ555_spl,
inference(contradiction_clause,[status(thm)],[f16486]) ).
fof(f16672,definition,
( sQ565_spl
<=> n2 = pred(tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ565_spl])],[split_symbol_definition]) ).
fof(f16673,plain,
( ~ sQ565_spl
| n2 = pred(tptp_minus_1) ),
inference(component_clause,[status(thm)],[f16672]) ).
fof(f16676,definition,
! [X0] :
( sQ566_spl
<=> ( gt(X0,pred(tptp_minus_1))
| ~ gt(X0,n2) ) ),
introduced(definition,[new_symbols(definition,[sQ566_spl])],[split_symbol_definition]) ).
fof(f16680,definition,
( sQ567_spl
<=> gt(n2,pred(tptp_minus_1)) ),
introduced(definition,[new_symbols(definition,[sQ567_spl])],[split_symbol_definition]) ).
fof(f16688,plain,
( ~ sQ565_spl
| ~ gt(n2,n0) ),
inference(backward_demodulation,[status(thm)],[f16673,f9412]) ).
fof(f16723,plain,
( ~ sQ565_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16688,f281]) ).
fof(f16724,plain,
~ sQ565_spl,
inference(contradiction_clause,[status(thm)],[f16723]) ).
fof(f16726,plain,
! [X0] :
( leq(pred(n0),X0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f1370,f8807]) ).
fof(f16732,plain,
! [X0,X1] :
( ~ leq(n0,n0)
| leq(uniform_int_rnd(X1,n0),X0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f1370,f121]) ).
fof(f16744,plain,
! [X0] :
( leq(tptp_minus_1,X0)
| ~ sP9_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f741,f16726]) ).
fof(f16749,definition,
! [X0,X1] :
( sQ569_spl
<=> ( leq(uniform_int_rnd(X1,n0),X0)
| ~ sP9_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ569_spl])],[split_symbol_definition]) ).
fof(f16752,plain,
( ~ sQ68_spl
| sQ569_spl ),
inference(split_clause,[status(thm)],[f16732,f16749,f995]) ).
fof(f16762,plain,
! [X0] :
( n3 = succ(n5)
| gt(X0,n3)
| ~ gt(X0,succ(n5)) ),
inference(resolution,[status(thm)],[f16194,f734]) ).
fof(f16766,plain,
( succ(n5) = n3
| gt(succ(n5),n3) ),
inference(resolution,[status(thm)],[f16194,f87]) ).
fof(f16768,plain,
( sQ555_spl
| sQ556_spl ),
inference(split_clause,[status(thm)],[f16762,f16215,f16211]) ).
fof(f16769,plain,
( sQ555_spl
| sQ557_spl ),
inference(split_clause,[status(thm)],[f16766,f16219,f16211]) ).
fof(f16770,plain,
( sQ65_spl
| n2 = pred(tptp_minus_1)
| ~ gt(tptp_minus_1,n2) ),
inference(resolution,[status(thm)],[f16392,f885]) ).
fof(f16771,plain,
! [X0] :
( sQ65_spl
| pred(tptp_minus_1) = n2
| gt(X0,pred(tptp_minus_1))
| ~ gt(X0,n2) ),
inference(resolution,[status(thm)],[f16392,f734]) ).
fof(f16775,plain,
( sQ65_spl
| n2 = pred(tptp_minus_1)
| gt(n2,pred(tptp_minus_1)) ),
inference(resolution,[status(thm)],[f16392,f87]) ).
fof(f16776,plain,
( sQ65_spl
| sQ565_spl
| ~ sQ559_spl ),
inference(split_clause,[status(thm)],[f16770,f16380,f16672,f985]) ).
fof(f16777,plain,
( sQ65_spl
| sQ565_spl
| sQ566_spl ),
inference(split_clause,[status(thm)],[f16771,f16676,f16672,f985]) ).
fof(f16778,plain,
( sQ65_spl
| sQ565_spl
| sQ567_spl ),
inference(split_clause,[status(thm)],[f16775,f16680,f16672,f985]) ).
fof(f16804,plain,
( n4 = n2
| ~ sP9_prd(n4) ),
inference(resolution,[status(thm)],[f1420,f3029]) ).
fof(f16805,plain,
( n5 = n2
| ~ sP9_prd(n5) ),
inference(resolution,[status(thm)],[f1420,f3031]) ).
fof(f16819,plain,
( plus(n2,n2) = n2
| ~ sP9_prd(plus(n2,n2)) ),
inference(resolution,[status(thm)],[f1420,f10166]) ).
fof(f16820,plain,
( plus(n2,n3) = n2
| ~ sP9_prd(plus(n2,n3)) ),
inference(resolution,[status(thm)],[f1420,f10620]) ).
fof(f16832,plain,
( succ(n2) = n2
| ~ sP9_prd(succ(n2)) ),
inference(resolution,[status(thm)],[f1420,f1225]) ).
fof(f16841,plain,
( sQ134_spl
| ~ sQ347_spl ),
inference(split_clause,[status(thm)],[f16804,f9877,f3063]) ).
fof(f16842,plain,
( sQ142_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f16805,f9963,f3271]) ).
fof(f16856,definition,
( sQ571_spl
<=> sP9_prd(plus(n2,n2)) ),
introduced(definition,[new_symbols(definition,[sQ571_spl])],[split_symbol_definition]) ).
fof(f16859,plain,
( sQ277_spl
| ~ sQ571_spl ),
inference(split_clause,[status(thm)],[f16819,f16856,f8788]) ).
fof(f16860,definition,
( sQ572_spl
<=> sP9_prd(plus(n2,n3)) ),
introduced(definition,[new_symbols(definition,[sQ572_spl])],[split_symbol_definition]) ).
fof(f16863,definition,
( sQ573_spl
<=> plus(n2,n3) = n2 ),
introduced(definition,[new_symbols(definition,[sQ573_spl])],[split_symbol_definition]) ).
fof(f16864,plain,
( ~ sQ573_spl
| plus(n2,n3) = n2 ),
inference(component_clause,[status(thm)],[f16863]) ).
fof(f16866,plain,
( sQ573_spl
| ~ sQ572_spl ),
inference(split_clause,[status(thm)],[f16820,f16860,f16863]) ).
fof(f16876,definition,
( sQ574_spl
<=> sP9_prd(succ(n2)) ),
introduced(definition,[new_symbols(definition,[sQ574_spl])],[split_symbol_definition]) ).
fof(f16879,plain,
( sQ274_spl
| ~ sQ574_spl ),
inference(split_clause,[status(thm)],[f16832,f16876,f8750]) ).
fof(f17140,plain,
( ~ sQ277_spl
| gt(n2,n2) ),
inference(paramodulation,[status(thm)],[f8789,f9460]) ).
fof(f17148,plain,
( ~ sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17140,f91]) ).
fof(f17149,plain,
~ sQ277_spl,
inference(contradiction_clause,[status(thm)],[f17148]) ).
fof(f17151,plain,
( ~ sQ573_spl
| leq(n3,n2) ),
inference(paramodulation,[status(thm)],[f16864,f10837]) ).
fof(f17158,plain,
( ~ sQ573_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17151,f5345]) ).
fof(f17159,plain,
~ sQ573_spl,
inference(contradiction_clause,[status(thm)],[f17158]) ).
fof(f17577,plain,
! [X0,X1] :
( ~ leq(sK40_skl(X0),X1)
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ leq(n0,n0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f1450,f1078]) ).
fof(f17578,plain,
! [X0,X1] :
( ~ leq(sK40_skl(X0),X1)
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,n0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f1450,f1066]) ).
fof(f17579,plain,
! [X0,X1] :
( ~ leq(sK40_skl(X0),X1)
| X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ leq(n0,n0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f1450,f1012]) ).
fof(f17580,plain,
! [X0,X1] :
( ~ leq(sK40_skl(X0),X1)
| X1 = n0
| ~ leq(X1,n0)
| ~ leq(n0,n0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f1450,f979]) ).
fof(f17581,plain,
! [X0] :
( sK40_skl(X0) = n4
| sK40_skl(X0) = n3
| sK40_skl(X0) = n2
| sK40_skl(X0) = n1
| sK40_skl(X0) = n0
| ~ leq(sK40_skl(X0),n4)
| ~ leq(n0,n0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f1450,f293]) ).
fof(f17582,plain,
! [X0] :
( sK40_skl(X0) = n5
| sK40_skl(X0) = n4
| sK40_skl(X0) = n3
| sK40_skl(X0) = n2
| sK40_skl(X0) = n1
| sK40_skl(X0) = n0
| ~ leq(sK40_skl(X0),n5)
| ~ leq(n0,n0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f1450,f295]) ).
fof(f17583,plain,
! [X0] :
( sK40_skl(X0) = n3
| sK40_skl(X0) = n2
| sK40_skl(X0) = n1
| sK40_skl(X0) = n0
| ~ leq(sK40_skl(X0),n3)
| ~ leq(n0,n0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f1450,f303]) ).
fof(f17584,plain,
! [X0] :
( sK40_skl(X0) = n1
| sK40_skl(X0) = n0
| ~ leq(sK40_skl(X0),n1)
| ~ leq(n0,n0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f1450,f299]) ).
fof(f17585,plain,
! [X0] :
( sK40_skl(X0) = n2
| sK40_skl(X0) = n1
| sK40_skl(X0) = n0
| ~ leq(sK40_skl(X0),n2)
| ~ leq(n0,n0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f1450,f301]) ).
fof(f17586,plain,
! [X0] :
( sK40_skl(X0) = n0
| ~ leq(sK40_skl(X0),n0)
| ~ leq(n0,n0)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f1450,f297]) ).
fof(f17615,definition,
! [X0,X1] :
( sQ586_spl
<=> ( ~ leq(sK40_skl(X0),X1)
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ sP9_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ586_spl])],[split_symbol_definition]) ).
fof(f17618,plain,
( ~ sQ68_spl
| sQ586_spl ),
inference(split_clause,[status(thm)],[f17577,f17615,f995]) ).
fof(f17619,definition,
! [X0,X1] :
( sQ587_spl
<=> ( ~ leq(sK40_skl(X0),X1)
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ sP9_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ587_spl])],[split_symbol_definition]) ).
fof(f17622,plain,
( ~ sQ68_spl
| sQ587_spl ),
inference(split_clause,[status(thm)],[f17578,f17619,f995]) ).
fof(f17623,definition,
! [X0,X1] :
( sQ588_spl
<=> ( ~ leq(sK40_skl(X0),X1)
| X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ sP9_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ588_spl])],[split_symbol_definition]) ).
fof(f17626,plain,
( ~ sQ68_spl
| sQ588_spl ),
inference(split_clause,[status(thm)],[f17579,f17623,f995]) ).
fof(f17627,definition,
! [X0,X1] :
( sQ589_spl
<=> ( ~ leq(sK40_skl(X0),X1)
| X1 = n0
| ~ leq(X1,n0)
| ~ sP9_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ589_spl])],[split_symbol_definition]) ).
fof(f17630,plain,
( ~ sQ68_spl
| sQ589_spl ),
inference(split_clause,[status(thm)],[f17580,f17627,f995]) ).
fof(f17631,definition,
! [X0] :
( sQ590_spl
<=> ( sK40_skl(X0) = n4
| sK40_skl(X0) = n3
| sK40_skl(X0) = n2
| sK40_skl(X0) = n1
| sK40_skl(X0) = n0
| ~ leq(sK40_skl(X0),n4)
| ~ sP9_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ590_spl])],[split_symbol_definition]) ).
fof(f17634,plain,
( ~ sQ68_spl
| sQ590_spl ),
inference(split_clause,[status(thm)],[f17581,f17631,f995]) ).
fof(f17635,definition,
! [X0] :
( sQ591_spl
<=> ( sK40_skl(X0) = n5
| sK40_skl(X0) = n4
| sK40_skl(X0) = n3
| sK40_skl(X0) = n2
| sK40_skl(X0) = n1
| sK40_skl(X0) = n0
| ~ leq(sK40_skl(X0),n5)
| ~ sP9_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ591_spl])],[split_symbol_definition]) ).
fof(f17638,plain,
( ~ sQ68_spl
| sQ591_spl ),
inference(split_clause,[status(thm)],[f17582,f17635,f995]) ).
fof(f17639,definition,
! [X0] :
( sQ592_spl
<=> ( sK40_skl(X0) = n3
| sK40_skl(X0) = n2
| sK40_skl(X0) = n1
| sK40_skl(X0) = n0
| ~ leq(sK40_skl(X0),n3)
| ~ sP9_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ592_spl])],[split_symbol_definition]) ).
fof(f17642,plain,
( ~ sQ68_spl
| sQ592_spl ),
inference(split_clause,[status(thm)],[f17583,f17639,f995]) ).
fof(f17643,definition,
! [X0] :
( sQ593_spl
<=> ( sK40_skl(X0) = n1
| sK40_skl(X0) = n0
| ~ leq(sK40_skl(X0),n1)
| ~ sP9_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ593_spl])],[split_symbol_definition]) ).
fof(f17646,plain,
( ~ sQ68_spl
| sQ593_spl ),
inference(split_clause,[status(thm)],[f17584,f17643,f995]) ).
fof(f17647,definition,
! [X0] :
( sQ594_spl
<=> ( sK40_skl(X0) = n2
| sK40_skl(X0) = n1
| sK40_skl(X0) = n0
| ~ leq(sK40_skl(X0),n2)
| ~ sP9_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ594_spl])],[split_symbol_definition]) ).
fof(f17650,plain,
( ~ sQ68_spl
| sQ594_spl ),
inference(split_clause,[status(thm)],[f17585,f17647,f995]) ).
fof(f17651,definition,
! [X0] :
( sQ595_spl
<=> ( sK40_skl(X0) = n0
| ~ leq(sK40_skl(X0),n0)
| ~ sP9_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition]) ).
fof(f17654,plain,
( ~ sQ68_spl
| sQ595_spl ),
inference(split_clause,[status(thm)],[f17586,f17651,f995]) ).
fof(f17814,plain,
( ~ sQ0_spl
| gt(loopcounter,tptp_minus_1) ),
inference(resolution,[status(thm)],[f516,f945]) ).
fof(f17829,plain,
( ~ sQ0_spl
| ~ gt(tptp_minus_1,loopcounter) ),
inference(resolution,[status(thm)],[f17814,f736]) ).
fof(f17831,plain,
! [X0] :
( ~ sQ0_spl
| tptp_minus_1 = loopcounter
| gt(X0,tptp_minus_1)
| ~ gt(X0,loopcounter) ),
inference(resolution,[status(thm)],[f17829,f734]) ).
fof(f17835,plain,
( ~ sQ0_spl
| loopcounter = tptp_minus_1
| gt(loopcounter,tptp_minus_1) ),
inference(resolution,[status(thm)],[f17829,f87]) ).
fof(f17836,definition,
! [X0] :
( sQ600_spl
<=> ( gt(X0,tptp_minus_1)
| ~ gt(X0,loopcounter) ) ),
introduced(definition,[new_symbols(definition,[sQ600_spl])],[split_symbol_definition]) ).
fof(f17839,definition,
( sQ601_spl
<=> tptp_minus_1 = loopcounter ),
introduced(definition,[new_symbols(definition,[sQ601_spl])],[split_symbol_definition]) ).
fof(f17840,plain,
( ~ sQ601_spl
| tptp_minus_1 = loopcounter ),
inference(component_clause,[status(thm)],[f17839]) ).
fof(f17842,plain,
( ~ sQ0_spl
| sQ601_spl
| sQ600_spl ),
inference(split_clause,[status(thm)],[f17831,f17836,f17839,f515]) ).
fof(f17843,definition,
( sQ602_spl
<=> gt(loopcounter,tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ602_spl])],[split_symbol_definition]) ).
fof(f17846,plain,
( ~ sQ0_spl
| sQ601_spl
| sQ602_spl ),
inference(split_clause,[status(thm)],[f17835,f17843,f17839,f515]) ).
fof(f17848,plain,
( ~ sQ0_spl
| ~ sQ601_spl
| gt(tptp_minus_1,tptp_minus_1) ),
inference(backward_demodulation,[status(thm)],[f17840,f17814]) ).
fof(f17855,plain,
( ~ sQ0_spl
| ~ sQ601_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17848,f91]) ).
fof(f17856,plain,
( ~ sQ0_spl
| ~ sQ601_spl ),
inference(contradiction_clause,[status(thm)],[f17855]) ).
fof(f17859,plain,
( sQ12_spl
| ~ sQ154_spl
| ~ leq(n0,n1) ),
inference(forward_demodulation,[status(thm)],[f4438,f557]) ).
fof(f17860,plain,
( sQ12_spl
| ~ sQ154_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17859,f1029]) ).
fof(f17861,plain,
( sQ12_spl
| ~ sQ154_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f17860]) ).
fof(f17862,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f8018]) ).
fof(f17863,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f17862]) ).
fof(f17991,plain,
gt(succ(n5),n2),
inference(resolution,[status(thm)],[f1589,f112]) ).
fof(f18028,plain,
~ gt(n2,succ(n5)),
inference(resolution,[status(thm)],[f17991,f736]) ).
fof(f18031,plain,
! [X0] :
( n2 = succ(n5)
| gt(X0,n2)
| ~ gt(X0,succ(n5)) ),
inference(resolution,[status(thm)],[f18028,f734]) ).
fof(f18035,plain,
( succ(n5) = n2
| gt(succ(n5),n2) ),
inference(resolution,[status(thm)],[f18028,f87]) ).
fof(f18036,definition,
( sQ603_spl
<=> n2 = succ(n5) ),
introduced(definition,[new_symbols(definition,[sQ603_spl])],[split_symbol_definition]) ).
fof(f18037,plain,
( ~ sQ603_spl
| n2 = succ(n5) ),
inference(component_clause,[status(thm)],[f18036]) ).
fof(f18040,definition,
! [X0] :
( sQ604_spl
<=> ( gt(X0,n2)
| ~ gt(X0,succ(n5)) ) ),
introduced(definition,[new_symbols(definition,[sQ604_spl])],[split_symbol_definition]) ).
fof(f18043,plain,
( sQ603_spl
| sQ604_spl ),
inference(split_clause,[status(thm)],[f18031,f18040,f18036]) ).
fof(f18044,definition,
( sQ605_spl
<=> gt(succ(n5),n2) ),
introduced(definition,[new_symbols(definition,[sQ605_spl])],[split_symbol_definition]) ).
fof(f18047,plain,
( sQ603_spl
| sQ605_spl ),
inference(split_clause,[status(thm)],[f18035,f18044,f18036]) ).
fof(f18051,plain,
( ~ sQ603_spl
| gt(n2,n2) ),
inference(backward_demodulation,[status(thm)],[f18037,f17991]) ).
fof(f18100,plain,
( ~ sQ603_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18051,f91]) ).
fof(f18101,plain,
~ sQ603_spl,
inference(contradiction_clause,[status(thm)],[f18100]) ).
fof(f18771,plain,
! [X0] :
( ~ sP4_prd(X0)
| ~ leq(X0,tptp_minus_1) ),
inference(resolution,[status(thm)],[f1480,f402]) ).
fof(f18772,plain,
! [X0] :
( ~ sP15_prd(X0)
| ~ leq(X0,tptp_minus_1) ),
inference(resolution,[status(thm)],[f1480,f497]) ).
fof(f18773,plain,
! [X0] :
( ~ sP12_prd(X0)
| ~ leq(X0,tptp_minus_1) ),
inference(resolution,[status(thm)],[f1480,f476]) ).
fof(f18774,plain,
( ~ sQ60_spl
| ~ leq(n0,n0)
| ~ leq(n3,tptp_minus_1) ),
inference(resolution,[status(thm)],[f1480,f16061]) ).
fof(f18778,plain,
( ~ leq(n0,n0)
| ~ leq(n1,tptp_minus_1) ),
inference(resolution,[status(thm)],[f1480,f954]) ).
fof(f18779,plain,
( ~ gt(n1,n0)
| ~ leq(n0,tptp_minus_1) ),
inference(resolution,[status(thm)],[f1480,f952]) ).
fof(f18780,plain,
! [X0,X1] :
( ~ leq(n0,n0)
| ~ leq(n0,X1)
| ~ leq(uniform_int_rnd(X0,X1),tptp_minus_1) ),
inference(resolution,[status(thm)],[f1480,f926]) ).
fof(f18796,definition,
( sQ613_spl
<=> leq(n3,tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ613_spl])],[split_symbol_definition]) ).
fof(f18799,plain,
( ~ sQ60_spl
| ~ sQ68_spl
| ~ sQ613_spl ),
inference(split_clause,[status(thm)],[f18774,f18796,f995,f817]) ).
fof(f18802,definition,
( sQ614_spl
<=> leq(n1,tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ614_spl])],[split_symbol_definition]) ).
fof(f18806,plain,
( ~ sQ68_spl
| ~ sQ614_spl ),
inference(split_clause,[status(thm)],[f18778,f18802,f995]) ).
fof(f18807,plain,
( ~ sQ92_spl
| ~ sQ267_spl ),
inference(split_clause,[status(thm)],[f18779,f8663,f1751]) ).
fof(f18808,definition,
! [X0,X1] :
( sQ615_spl
<=> ( ~ leq(n0,X1)
| ~ leq(uniform_int_rnd(X0,X1),tptp_minus_1) ) ),
introduced(definition,[new_symbols(definition,[sQ615_spl])],[split_symbol_definition]) ).
fof(f18811,plain,
( ~ sQ68_spl
| sQ615_spl ),
inference(split_clause,[status(thm)],[f18780,f18808,f995]) ).
fof(f18813,definition,
( sQ616_spl
<=> leq(n2,tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ616_spl])],[split_symbol_definition]) ).
fof(f18843,plain,
( ~ sP4_prd(tptp_minus_1)
| ~ sP4_prd(tptp_minus_1) ),
inference(resolution,[status(thm)],[f18771,f8761]) ).
fof(f18857,plain,
~ sQ253_spl,
inference(split_clause,[status(thm)],[f18843,f8150]) ).
fof(f19029,plain,
( pred(tptp_minus_1) = n0
| ~ sP12_prd(pred(tptp_minus_1)) ),
inference(resolution,[status(thm)],[f1942,f8814]) ).
fof(f19030,plain,
( pred(pred(n0)) = n0
| ~ sP12_prd(pred(pred(n0))) ),
inference(resolution,[status(thm)],[f1942,f9559]) ).
fof(f19031,plain,
( pred(n0) = n0
| ~ sP12_prd(pred(n0)) ),
inference(resolution,[status(thm)],[f1942,f8807]) ).
fof(f19047,definition,
( sQ624_spl
<=> sP12_prd(pred(tptp_minus_1)) ),
introduced(definition,[new_symbols(definition,[sQ624_spl])],[split_symbol_definition]) ).
fof(f19050,plain,
( sQ322_spl
| ~ sQ624_spl ),
inference(split_clause,[status(thm)],[f19029,f19047,f9477]) ).
fof(f19051,definition,
( sQ625_spl
<=> sP12_prd(pred(pred(n0))) ),
introduced(definition,[new_symbols(definition,[sQ625_spl])],[split_symbol_definition]) ).
fof(f19054,plain,
( sQ321_spl
| ~ sQ625_spl ),
inference(split_clause,[status(thm)],[f19030,f19051,f9419]) ).
fof(f19055,definition,
( sQ626_spl
<=> sP12_prd(pred(n0)) ),
introduced(definition,[new_symbols(definition,[sQ626_spl])],[split_symbol_definition]) ).
fof(f19058,plain,
( sQ262_spl
| ~ sQ626_spl ),
inference(split_clause,[status(thm)],[f19031,f19055,f8466]) ).
fof(f19076,plain,
( ~ leq(n1,n0)
| ~ leq(n1,n0) ),
inference(resolution,[status(thm)],[f1717,f954]) ).
fof(f19077,plain,
( ~ gt(n1,n1)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f1717,f952]) ).
fof(f19079,plain,
( ~ gt(n0,n1)
| ~ leq(tptp_minus_1,n0) ),
inference(resolution,[status(thm)],[f1717,f921]) ).
fof(f19100,plain,
~ sQ91_spl,
inference(split_clause,[status(thm)],[f19076,f1747]) ).
fof(f19101,plain,
( ~ sQ255_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f19077,f995,f8176]) ).
fof(f19103,definition,
( sQ627_spl
<=> gt(n0,n1) ),
introduced(definition,[new_symbols(definition,[sQ627_spl])],[split_symbol_definition]) ).
fof(f19106,plain,
( ~ sQ627_spl
| ~ sQ295_spl ),
inference(split_clause,[status(thm)],[f19079,f9148,f19103]) ).
fof(f19112,plain,
( sQ295_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9150,f8659]) ).
fof(f19113,plain,
sQ295_spl,
inference(contradiction_clause,[status(thm)],[f19112]) ).
fof(f19132,plain,
( ~ sQ76_spl
| ~ leq(n2,tptp_minus_1)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f1738,f1480]) ).
fof(f19133,plain,
! [X0] :
( ~ sQ76_spl
| ~ leq(n2,X0)
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n3)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f1738,f1078]) ).
fof(f19134,plain,
! [X0] :
( ~ sQ76_spl
| ~ leq(n2,X0)
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f1738,f1066]) ).
fof(f19135,plain,
! [X0] :
( ~ sQ76_spl
| ~ leq(n2,X0)
| X0 = n1
| X0 = n0
| ~ leq(X0,n1)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f1738,f1012]) ).
fof(f19136,plain,
! [X0] :
( ~ sQ76_spl
| ~ leq(n2,X0)
| X0 = n0
| ~ leq(X0,n0)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f1738,f979]) ).
fof(f19140,plain,
( ~ sQ76_spl
| n2 = n1
| n2 = n0
| ~ leq(n2,n1)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f1738,f299]) ).
fof(f19141,plain,
( ~ sQ76_spl
| n2 = n2
| n2 = n1
| n2 = n0
| ~ leq(n2,n2)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f1738,f301]) ).
fof(f19142,plain,
( ~ sQ76_spl
| n2 = n0
| ~ leq(n2,n0)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f1738,f297]) ).
fof(f19165,plain,
( ~ sQ76_spl
| ~ sQ616_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f19132,f995,f18813,f1068]) ).
fof(f19166,plain,
( ~ sQ76_spl
| sQ543_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f19133,f995,f14637,f1068]) ).
fof(f19167,plain,
( ~ sQ76_spl
| sQ466_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f19134,f995,f12997,f1068]) ).
fof(f19168,plain,
( ~ sQ76_spl
| sQ437_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f19135,f995,f11952,f1068]) ).
fof(f19169,plain,
( ~ sQ76_spl
| sQ400_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f19136,f995,f10954,f1068]) ).
fof(f19173,plain,
( ~ sQ76_spl
| sQ73_spl
| sQ66_spl
| ~ sQ72_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f19140,f995,f1021,f988,f1024,f1068]) ).
fof(f19174,plain,
( ~ sQ76_spl
| sQ127_spl
| sQ73_spl
| sQ66_spl
| ~ sQ132_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f19141,f995,f3021,f988,f1024,f2833,f1068]) ).
fof(f19175,plain,
( ~ sQ76_spl
| sQ66_spl
| ~ sQ65_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f19142,f995,f985,f988,f1068]) ).
fof(f19184,plain,
! [X0] :
( uniform_int_rnd(X0,n0) = n0
| ~ leq(n0,n0)
| ~ gt(uniform_int_rnd(X0,n0),n1) ),
inference(resolution,[status(thm)],[f1767,f923]) ).
fof(f19201,definition,
! [X0] :
( sQ629_spl
<=> ( uniform_int_rnd(X0,n0) = n0
| ~ gt(uniform_int_rnd(X0,n0),n1) ) ),
introduced(definition,[new_symbols(definition,[sQ629_spl])],[split_symbol_definition]) ).
fof(f19204,plain,
( ~ sQ68_spl
| sQ629_spl ),
inference(split_clause,[status(thm)],[f19184,f19201,f995]) ).
fof(f19238,plain,
( ~ gt(tptp_minus_1,n0)
| ~ gt(tptp_minus_1,n0) ),
inference(resolution,[status(thm)],[f1836,f944]) ).
fof(f19252,plain,
~ sQ360_spl,
inference(split_clause,[status(thm)],[f19238,f10011]) ).
fof(f19298,plain,
( gt(n2,n2)
| ~ sP4_prd(n3) ),
inference(paramodulation,[status(thm)],[f3365,f2788]) ).
fof(f19307,plain,
( sQ256_spl
| ~ sQ250_spl ),
inference(split_clause,[status(thm)],[f19298,f8136,f8194]) ).
fof(f19317,plain,
( sQ72_spl
| ~ gt(n2,n2)
| ~ leq(n1,n1) ),
inference(resolution,[status(thm)],[f1445,f14773]) ).
fof(f19319,plain,
( sQ72_spl
| ~ gt(n1,n2)
| ~ leq(n0,n1) ),
inference(resolution,[status(thm)],[f1445,f952]) ).
fof(f19321,plain,
( sQ72_spl
| ~ gt(n0,n2)
| ~ leq(tptp_minus_1,n1) ),
inference(resolution,[status(thm)],[f1445,f921]) ).
fof(f19340,plain,
( sQ72_spl
| ~ sQ256_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f19317,f2936,f8194,f1021]) ).
fof(f19342,plain,
( sQ72_spl
| ~ sQ546_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f19319,f1028,f15685,f1021]) ).
fof(f19347,plain,
( sQ72_spl
| ~ sQ547_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f19321,f9140,f15690,f1021]) ).
fof(f19396,plain,
! [X0] :
( leq(pred(n0),X0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f1946,f8807]) ).
fof(f19402,plain,
! [X0,X1] :
( ~ leq(n0,n0)
| leq(uniform_int_rnd(X1,n0),X0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f1946,f121]) ).
fof(f19413,plain,
! [X0] :
( leq(tptp_minus_1,X0)
| ~ sP12_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f741,f19396]) ).
fof(f19418,definition,
! [X0,X1] :
( sQ634_spl
<=> ( leq(uniform_int_rnd(X1,n0),X0)
| ~ sP12_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ634_spl])],[split_symbol_definition]) ).
fof(f19421,plain,
( ~ sQ68_spl
| sQ634_spl ),
inference(split_clause,[status(thm)],[f19402,f19418,f995]) ).
fof(f19429,plain,
( succ(n5) = n2
| ~ sP12_prd(succ(n5)) ),
inference(resolution,[status(thm)],[f1949,f18028]) ).
fof(f19431,plain,
( n4 = n2
| ~ sP12_prd(n4) ),
inference(resolution,[status(thm)],[f1949,f3029]) ).
fof(f19432,plain,
( n5 = n2
| ~ sP12_prd(n5) ),
inference(resolution,[status(thm)],[f1949,f3031]) ).
fof(f19448,plain,
( plus(n2,n2) = n2
| ~ sP12_prd(plus(n2,n2)) ),
inference(resolution,[status(thm)],[f1949,f10166]) ).
fof(f19449,plain,
( plus(n2,n3) = n2
| ~ sP12_prd(plus(n2,n3)) ),
inference(resolution,[status(thm)],[f1949,f10620]) ).
fof(f19462,plain,
( succ(n2) = n2
| ~ sP12_prd(succ(n2)) ),
inference(resolution,[status(thm)],[f1949,f1225]) ).
fof(f19470,definition,
( sQ636_spl
<=> sP12_prd(succ(n5)) ),
introduced(definition,[new_symbols(definition,[sQ636_spl])],[split_symbol_definition]) ).
fof(f19473,plain,
( sQ603_spl
| ~ sQ636_spl ),
inference(split_clause,[status(thm)],[f19429,f19470,f18036]) ).
fof(f19475,plain,
( sQ134_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f19431,f9881,f3063]) ).
fof(f19476,plain,
( sQ142_spl
| ~ sQ358_spl ),
inference(split_clause,[status(thm)],[f19432,f9967,f3271]) ).
fof(f19492,definition,
( sQ637_spl
<=> sP12_prd(plus(n2,n2)) ),
introduced(definition,[new_symbols(definition,[sQ637_spl])],[split_symbol_definition]) ).
fof(f19495,plain,
( sQ277_spl
| ~ sQ637_spl ),
inference(split_clause,[status(thm)],[f19448,f19492,f8788]) ).
fof(f19496,definition,
( sQ638_spl
<=> sP12_prd(plus(n2,n3)) ),
introduced(definition,[new_symbols(definition,[sQ638_spl])],[split_symbol_definition]) ).
fof(f19499,plain,
( sQ573_spl
| ~ sQ638_spl ),
inference(split_clause,[status(thm)],[f19449,f19496,f16863]) ).
fof(f19509,definition,
( sQ639_spl
<=> sP12_prd(succ(n2)) ),
introduced(definition,[new_symbols(definition,[sQ639_spl])],[split_symbol_definition]) ).
fof(f19512,plain,
( sQ274_spl
| ~ sQ639_spl ),
inference(split_clause,[status(thm)],[f19462,f19509,f8750]) ).
fof(f19524,plain,
( ~ sP12_prd(tptp_minus_1)
| ~ sP12_prd(tptp_minus_1) ),
inference(resolution,[status(thm)],[f19413,f18773]) ).
fof(f19554,plain,
~ sQ269_spl,
inference(split_clause,[status(thm)],[f19524,f8671]) ).
fof(f19605,plain,
! [X0] :
( sQ72_spl
| ~ leq(n0,pred(n1))
| ~ gt(uniform_int_rnd(X0,pred(n1)),n2) ),
inference(resolution,[status(thm)],[f1755,f922]) ).
fof(f19606,plain,
! [X0] :
( sQ72_spl
| uniform_int_rnd(X0,n1) = n1
| ~ leq(n0,n1)
| ~ gt(uniform_int_rnd(X0,n1),n2) ),
inference(resolution,[status(thm)],[f1755,f923]) ).
fof(f19620,definition,
! [X0] :
( sQ640_spl
<=> ~ gt(uniform_int_rnd(X0,pred(n1)),n2) ),
introduced(definition,[new_symbols(definition,[sQ640_spl])],[split_symbol_definition]) ).
fof(f19623,plain,
( sQ72_spl
| ~ sQ307_spl
| sQ640_spl ),
inference(split_clause,[status(thm)],[f19605,f19620,f9211,f1021]) ).
fof(f19624,definition,
! [X0] :
( sQ641_spl
<=> ( uniform_int_rnd(X0,n1) = n1
| ~ gt(uniform_int_rnd(X0,n1),n2) ) ),
introduced(definition,[new_symbols(definition,[sQ641_spl])],[split_symbol_definition]) ).
fof(f19627,plain,
( sQ72_spl
| ~ sQ74_spl
| sQ641_spl ),
inference(split_clause,[status(thm)],[f19606,f19624,f1028,f1021]) ).
fof(f20101,plain,
! [X0] :
( ~ leq(sK41_skl(X0),tptp_minus_1)
| ~ leq(n0,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f2012,f1480]) ).
fof(f20102,plain,
! [X0,X1] :
( ~ leq(sK41_skl(X0),X1)
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ leq(n0,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f2012,f1078]) ).
fof(f20103,plain,
! [X0,X1] :
( ~ leq(sK41_skl(X0),X1)
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f2012,f1066]) ).
fof(f20104,plain,
! [X0,X1] :
( ~ leq(sK41_skl(X0),X1)
| X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ leq(n0,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f2012,f1012]) ).
fof(f20105,plain,
! [X0,X1] :
( ~ leq(sK41_skl(X0),X1)
| X1 = n0
| ~ leq(X1,n0)
| ~ leq(n0,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f2012,f979]) ).
fof(f20106,plain,
! [X0] :
( sK41_skl(X0) = n4
| sK41_skl(X0) = n3
| sK41_skl(X0) = n2
| sK41_skl(X0) = n1
| sK41_skl(X0) = n0
| ~ leq(sK41_skl(X0),n4)
| ~ leq(n0,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f2012,f293]) ).
fof(f20107,plain,
! [X0] :
( sK41_skl(X0) = n5
| sK41_skl(X0) = n4
| sK41_skl(X0) = n3
| sK41_skl(X0) = n2
| sK41_skl(X0) = n1
| sK41_skl(X0) = n0
| ~ leq(sK41_skl(X0),n5)
| ~ leq(n0,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f2012,f295]) ).
fof(f20108,plain,
! [X0] :
( sK41_skl(X0) = n3
| sK41_skl(X0) = n2
| sK41_skl(X0) = n1
| sK41_skl(X0) = n0
| ~ leq(sK41_skl(X0),n3)
| ~ leq(n0,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f2012,f303]) ).
fof(f20109,plain,
! [X0] :
( sK41_skl(X0) = n1
| sK41_skl(X0) = n0
| ~ leq(sK41_skl(X0),n1)
| ~ leq(n0,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f2012,f299]) ).
fof(f20110,plain,
! [X0] :
( sK41_skl(X0) = n2
| sK41_skl(X0) = n1
| sK41_skl(X0) = n0
| ~ leq(sK41_skl(X0),n2)
| ~ leq(n0,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f2012,f301]) ).
fof(f20111,plain,
! [X0] :
( sK41_skl(X0) = n0
| ~ leq(sK41_skl(X0),n0)
| ~ leq(n0,n0)
| ~ sP12_prd(X0) ),
inference(resolution,[status(thm)],[f2012,f297]) ).
fof(f20145,definition,
! [X0] :
( sQ653_spl
<=> ( ~ leq(sK41_skl(X0),tptp_minus_1)
| ~ sP12_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ653_spl])],[split_symbol_definition]) ).
fof(f20148,plain,
( ~ sQ68_spl
| sQ653_spl ),
inference(split_clause,[status(thm)],[f20101,f20145,f995]) ).
fof(f20149,definition,
! [X0,X1] :
( sQ654_spl
<=> ( ~ leq(sK41_skl(X0),X1)
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ sP12_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ654_spl])],[split_symbol_definition]) ).
fof(f20152,plain,
( ~ sQ68_spl
| sQ654_spl ),
inference(split_clause,[status(thm)],[f20102,f20149,f995]) ).
fof(f20153,definition,
! [X0,X1] :
( sQ655_spl
<=> ( ~ leq(sK41_skl(X0),X1)
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ sP12_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ655_spl])],[split_symbol_definition]) ).
fof(f20156,plain,
( ~ sQ68_spl
| sQ655_spl ),
inference(split_clause,[status(thm)],[f20103,f20153,f995]) ).
fof(f20157,definition,
! [X0,X1] :
( sQ656_spl
<=> ( ~ leq(sK41_skl(X0),X1)
| X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ sP12_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ656_spl])],[split_symbol_definition]) ).
fof(f20160,plain,
( ~ sQ68_spl
| sQ656_spl ),
inference(split_clause,[status(thm)],[f20104,f20157,f995]) ).
fof(f20161,definition,
! [X0,X1] :
( sQ657_spl
<=> ( ~ leq(sK41_skl(X0),X1)
| X1 = n0
| ~ leq(X1,n0)
| ~ sP12_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ657_spl])],[split_symbol_definition]) ).
fof(f20164,plain,
( ~ sQ68_spl
| sQ657_spl ),
inference(split_clause,[status(thm)],[f20105,f20161,f995]) ).
fof(f20165,definition,
! [X0] :
( sQ658_spl
<=> ( sK41_skl(X0) = n4
| sK41_skl(X0) = n3
| sK41_skl(X0) = n2
| sK41_skl(X0) = n1
| sK41_skl(X0) = n0
| ~ leq(sK41_skl(X0),n4)
| ~ sP12_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ658_spl])],[split_symbol_definition]) ).
fof(f20168,plain,
( ~ sQ68_spl
| sQ658_spl ),
inference(split_clause,[status(thm)],[f20106,f20165,f995]) ).
fof(f20169,definition,
! [X0] :
( sQ659_spl
<=> ( sK41_skl(X0) = n5
| sK41_skl(X0) = n4
| sK41_skl(X0) = n3
| sK41_skl(X0) = n2
| sK41_skl(X0) = n1
| sK41_skl(X0) = n0
| ~ leq(sK41_skl(X0),n5)
| ~ sP12_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ659_spl])],[split_symbol_definition]) ).
fof(f20172,plain,
( ~ sQ68_spl
| sQ659_spl ),
inference(split_clause,[status(thm)],[f20107,f20169,f995]) ).
fof(f20173,definition,
! [X0] :
( sQ660_spl
<=> ( sK41_skl(X0) = n3
| sK41_skl(X0) = n2
| sK41_skl(X0) = n1
| sK41_skl(X0) = n0
| ~ leq(sK41_skl(X0),n3)
| ~ sP12_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ660_spl])],[split_symbol_definition]) ).
fof(f20176,plain,
( ~ sQ68_spl
| sQ660_spl ),
inference(split_clause,[status(thm)],[f20108,f20173,f995]) ).
fof(f20177,definition,
! [X0] :
( sQ661_spl
<=> ( sK41_skl(X0) = n1
| sK41_skl(X0) = n0
| ~ leq(sK41_skl(X0),n1)
| ~ sP12_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ661_spl])],[split_symbol_definition]) ).
fof(f20180,plain,
( ~ sQ68_spl
| sQ661_spl ),
inference(split_clause,[status(thm)],[f20109,f20177,f995]) ).
fof(f20181,definition,
! [X0] :
( sQ662_spl
<=> ( sK41_skl(X0) = n2
| sK41_skl(X0) = n1
| sK41_skl(X0) = n0
| ~ leq(sK41_skl(X0),n2)
| ~ sP12_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ662_spl])],[split_symbol_definition]) ).
fof(f20184,plain,
( ~ sQ68_spl
| sQ662_spl ),
inference(split_clause,[status(thm)],[f20110,f20181,f995]) ).
fof(f20185,definition,
! [X0] :
( sQ663_spl
<=> ( sK41_skl(X0) = n0
| ~ leq(sK41_skl(X0),n0)
| ~ sP12_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ663_spl])],[split_symbol_definition]) ).
fof(f20188,plain,
( ~ sQ68_spl
| sQ663_spl ),
inference(split_clause,[status(thm)],[f20111,f20185,f995]) ).
fof(f20582,plain,
! [X0] :
( ~ leq(X0,tptp_minus_1)
| ~ sP9_prd(X0) ),
inference(resolution,[status(thm)],[f455,f1480]) ).
fof(f21709,plain,
( ~ sP9_prd(tptp_minus_1)
| ~ sP9_prd(tptp_minus_1) ),
inference(resolution,[status(thm)],[f20582,f16744]) ).
fof(f21726,plain,
~ sQ270_spl,
inference(split_clause,[status(thm)],[f21709,f8675]) ).
fof(f22217,plain,
~ gt(pred(tptp_minus_1),n3),
inference(resolution,[status(thm)],[f2395,f861]) ).
fof(f22225,definition,
( sQ669_spl
<=> gt(tptp_minus_1,n3) ),
introduced(definition,[new_symbols(definition,[sQ669_spl])],[split_symbol_definition]) ).
fof(f22239,plain,
( n3 = pred(tptp_minus_1)
| ~ gt(tptp_minus_1,n3) ),
inference(resolution,[status(thm)],[f22217,f885]) ).
fof(f22240,plain,
! [X0] :
( pred(tptp_minus_1) = n3
| gt(X0,pred(tptp_minus_1))
| ~ gt(X0,n3) ),
inference(resolution,[status(thm)],[f22217,f734]) ).
fof(f22244,plain,
( n3 = pred(tptp_minus_1)
| gt(n3,pred(tptp_minus_1)) ),
inference(resolution,[status(thm)],[f22217,f87]) ).
fof(f22245,definition,
( sQ672_spl
<=> n3 = pred(tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ672_spl])],[split_symbol_definition]) ).
fof(f22246,plain,
( ~ sQ672_spl
| n3 = pred(tptp_minus_1) ),
inference(component_clause,[status(thm)],[f22245]) ).
fof(f22248,plain,
( sQ672_spl
| ~ sQ669_spl ),
inference(split_clause,[status(thm)],[f22239,f22225,f22245]) ).
fof(f22249,definition,
! [X0] :
( sQ673_spl
<=> ( gt(X0,pred(tptp_minus_1))
| ~ gt(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[sQ673_spl])],[split_symbol_definition]) ).
fof(f22252,plain,
( sQ672_spl
| sQ673_spl ),
inference(split_clause,[status(thm)],[f22240,f22249,f22245]) ).
fof(f22253,definition,
( sQ674_spl
<=> gt(n3,pred(tptp_minus_1)) ),
introduced(definition,[new_symbols(definition,[sQ674_spl])],[split_symbol_definition]) ).
fof(f22254,plain,
( ~ sQ674_spl
| gt(n3,pred(tptp_minus_1)) ),
inference(component_clause,[status(thm)],[f22253]) ).
fof(f22256,plain,
( sQ672_spl
| sQ674_spl ),
inference(split_clause,[status(thm)],[f22244,f22253,f22245]) ).
fof(f22257,plain,
( pred(tptp_minus_1) = n0
| ~ sP15_prd(pred(tptp_minus_1)) ),
inference(resolution,[status(thm)],[f2206,f8814]) ).
fof(f22258,plain,
( pred(pred(n0)) = n0
| ~ sP15_prd(pred(pred(n0))) ),
inference(resolution,[status(thm)],[f2206,f9559]) ).
fof(f22259,plain,
( pred(n0) = n0
| ~ sP15_prd(pred(n0)) ),
inference(resolution,[status(thm)],[f2206,f8807]) ).
fof(f22278,definition,
( sQ675_spl
<=> sP15_prd(pred(tptp_minus_1)) ),
introduced(definition,[new_symbols(definition,[sQ675_spl])],[split_symbol_definition]) ).
fof(f22281,plain,
( sQ322_spl
| ~ sQ675_spl ),
inference(split_clause,[status(thm)],[f22257,f22278,f9477]) ).
fof(f22282,definition,
( sQ676_spl
<=> sP15_prd(pred(pred(n0))) ),
introduced(definition,[new_symbols(definition,[sQ676_spl])],[split_symbol_definition]) ).
fof(f22285,plain,
( sQ321_spl
| ~ sQ676_spl ),
inference(split_clause,[status(thm)],[f22258,f22282,f9419]) ).
fof(f22286,definition,
( sQ677_spl
<=> sP15_prd(pred(n0)) ),
introduced(definition,[new_symbols(definition,[sQ677_spl])],[split_symbol_definition]) ).
fof(f22289,plain,
( sQ262_spl
| ~ sQ677_spl ),
inference(split_clause,[status(thm)],[f22259,f22286,f8466]) ).
fof(f22359,plain,
( ~ sQ411_spl
| ~ sQ672_spl
| gt(n1,n3) ),
inference(backward_demodulation,[status(thm)],[f22246,f11111]) ).
fof(f22406,plain,
( ~ sQ411_spl
| ~ sQ672_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22359,f12517]) ).
fof(f22407,plain,
( ~ sQ411_spl
| ~ sQ672_spl ),
inference(contradiction_clause,[status(thm)],[f22406]) ).
fof(f22511,plain,
! [X0] :
( leq(pred(n0),X0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2210,f8807]) ).
fof(f22519,plain,
! [X0,X1] :
( ~ leq(n0,n0)
| leq(uniform_int_rnd(X1,n0),X0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2210,f121]) ).
fof(f22531,plain,
! [X0] :
( leq(tptp_minus_1,X0)
| ~ sP15_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f741,f22511]) ).
fof(f22538,definition,
! [X0,X1] :
( sQ679_spl
<=> ( leq(uniform_int_rnd(X1,n0),X0)
| ~ sP15_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ679_spl])],[split_symbol_definition]) ).
fof(f22541,plain,
( ~ sQ68_spl
| sQ679_spl ),
inference(split_clause,[status(thm)],[f22519,f22538,f995]) ).
fof(f22646,plain,
( ~ sP15_prd(tptp_minus_1)
| ~ sP15_prd(tptp_minus_1) ),
inference(resolution,[status(thm)],[f22531,f18772]) ).
fof(f22677,plain,
~ sQ268_spl,
inference(split_clause,[status(thm)],[f22646,f8667]) ).
fof(f22787,plain,
( succ(n5) = n2
| ~ sP15_prd(succ(n5)) ),
inference(resolution,[status(thm)],[f2227,f18028]) ).
fof(f22789,plain,
( n4 = n2
| ~ sP15_prd(n4) ),
inference(resolution,[status(thm)],[f2227,f3029]) ).
fof(f22790,plain,
( n5 = n2
| ~ sP15_prd(n5) ),
inference(resolution,[status(thm)],[f2227,f3031]) ).
fof(f22812,plain,
( plus(n2,n2) = n2
| ~ sP15_prd(plus(n2,n2)) ),
inference(resolution,[status(thm)],[f2227,f10166]) ).
fof(f22813,plain,
( plus(n2,n3) = n2
| ~ sP15_prd(plus(n2,n3)) ),
inference(resolution,[status(thm)],[f2227,f10620]) ).
fof(f22828,plain,
( succ(n2) = n2
| ~ sP15_prd(succ(n2)) ),
inference(resolution,[status(thm)],[f2227,f1225]) ).
fof(f22836,definition,
( sQ681_spl
<=> sP15_prd(succ(n5)) ),
introduced(definition,[new_symbols(definition,[sQ681_spl])],[split_symbol_definition]) ).
fof(f22839,plain,
( sQ603_spl
| ~ sQ681_spl ),
inference(split_clause,[status(thm)],[f22787,f22836,f18036]) ).
fof(f22841,plain,
( sQ134_spl
| ~ sQ349_spl ),
inference(split_clause,[status(thm)],[f22789,f9885,f3063]) ).
fof(f22842,plain,
( sQ142_spl
| ~ sQ359_spl ),
inference(split_clause,[status(thm)],[f22790,f9971,f3271]) ).
fof(f22864,definition,
( sQ682_spl
<=> sP15_prd(plus(n2,n2)) ),
introduced(definition,[new_symbols(definition,[sQ682_spl])],[split_symbol_definition]) ).
fof(f22867,plain,
( sQ277_spl
| ~ sQ682_spl ),
inference(split_clause,[status(thm)],[f22812,f22864,f8788]) ).
fof(f22868,definition,
( sQ683_spl
<=> sP15_prd(plus(n2,n3)) ),
introduced(definition,[new_symbols(definition,[sQ683_spl])],[split_symbol_definition]) ).
fof(f22871,plain,
( sQ573_spl
| ~ sQ683_spl ),
inference(split_clause,[status(thm)],[f22813,f22868,f16863]) ).
fof(f22882,definition,
( sQ684_spl
<=> sP15_prd(succ(n2)) ),
introduced(definition,[new_symbols(definition,[sQ684_spl])],[split_symbol_definition]) ).
fof(f22885,plain,
( sQ274_spl
| ~ sQ684_spl ),
inference(split_clause,[status(thm)],[f22828,f22882,f8750]) ).
fof(f22934,plain,
! [X0] : plus(n3,X0) = plus(succ(X0),n2),
inference(backward_demodulation,[status(thm)],[f2355,f2374]) ).
fof(f23165,plain,
( gt(n2,n2)
| ~ sP15_prd(n3) ),
inference(paramodulation,[status(thm)],[f3365,f3647]) ).
fof(f23174,plain,
( sQ256_spl
| ~ sQ354_spl ),
inference(split_clause,[status(thm)],[f23165,f9929,f8194]) ).
fof(f23504,plain,
~ gt(pred(tptp_minus_1),n4),
inference(resolution,[status(thm)],[f2548,f861]) ).
fof(f23513,definition,
( sQ694_spl
<=> gt(tptp_minus_1,n4) ),
introduced(definition,[new_symbols(definition,[sQ694_spl])],[split_symbol_definition]) ).
fof(f23527,plain,
( n4 = pred(tptp_minus_1)
| ~ gt(tptp_minus_1,n4) ),
inference(resolution,[status(thm)],[f23504,f885]) ).
fof(f23528,plain,
! [X0] :
( pred(tptp_minus_1) = n4
| gt(X0,pred(tptp_minus_1))
| ~ gt(X0,n4) ),
inference(resolution,[status(thm)],[f23504,f734]) ).
fof(f23532,plain,
( n4 = pred(tptp_minus_1)
| gt(n4,pred(tptp_minus_1)) ),
inference(resolution,[status(thm)],[f23504,f87]) ).
fof(f23533,definition,
( sQ697_spl
<=> n4 = pred(tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ697_spl])],[split_symbol_definition]) ).
fof(f23534,plain,
( ~ sQ697_spl
| n4 = pred(tptp_minus_1) ),
inference(component_clause,[status(thm)],[f23533]) ).
fof(f23536,plain,
( sQ697_spl
| ~ sQ694_spl ),
inference(split_clause,[status(thm)],[f23527,f23513,f23533]) ).
fof(f23537,definition,
! [X0] :
( sQ698_spl
<=> ( gt(X0,pred(tptp_minus_1))
| ~ gt(X0,n4) ) ),
introduced(definition,[new_symbols(definition,[sQ698_spl])],[split_symbol_definition]) ).
fof(f23540,plain,
( sQ697_spl
| sQ698_spl ),
inference(split_clause,[status(thm)],[f23528,f23537,f23533]) ).
fof(f23541,definition,
( sQ699_spl
<=> gt(n4,pred(tptp_minus_1)) ),
introduced(definition,[new_symbols(definition,[sQ699_spl])],[split_symbol_definition]) ).
fof(f23544,plain,
( sQ697_spl
| sQ699_spl ),
inference(split_clause,[status(thm)],[f23532,f23541,f23533]) ).
fof(f23546,plain,
( sQ65_spl
| ~ sQ697_spl
| ~ gt(n4,n2) ),
inference(backward_demodulation,[status(thm)],[f23534,f16392]) ).
fof(f23598,plain,
( sQ65_spl
| ~ sQ697_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23546,f287]) ).
fof(f23599,plain,
( sQ65_spl
| ~ sQ697_spl ),
inference(contradiction_clause,[status(thm)],[f23598]) ).
fof(f23709,plain,
( gt(n2,n2)
| ~ sP12_prd(n3) ),
inference(paramodulation,[status(thm)],[f3365,f3725]) ).
fof(f23718,plain,
( sQ256_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f23709,f9925,f8194]) ).
fof(f23730,plain,
! [X0] :
( ~ leq(n0,pred(n3))
| ~ gt(uniform_int_rnd(X0,pred(n3)),n4) ),
inference(resolution,[status(thm)],[f2566,f922]) ).
fof(f23731,plain,
! [X0] :
( uniform_int_rnd(X0,n3) = n3
| ~ leq(n0,n3)
| ~ gt(uniform_int_rnd(X0,n3),n4) ),
inference(resolution,[status(thm)],[f2566,f923]) ).
fof(f23745,definition,
! [X0] :
( sQ700_spl
<=> ~ gt(uniform_int_rnd(X0,pred(n3)),n4) ),
introduced(definition,[new_symbols(definition,[sQ700_spl])],[split_symbol_definition]) ).
fof(f23748,plain,
( ~ sQ301_spl
| sQ700_spl ),
inference(split_clause,[status(thm)],[f23730,f23745,f9190]) ).
fof(f23749,definition,
! [X0] :
( sQ701_spl
<=> ( uniform_int_rnd(X0,n3) = n3
| ~ gt(uniform_int_rnd(X0,n3),n4) ) ),
introduced(definition,[new_symbols(definition,[sQ701_spl])],[split_symbol_definition]) ).
fof(f23752,plain,
( ~ sQ77_spl
| sQ701_spl ),
inference(split_clause,[status(thm)],[f23731,f23749,f1081]) ).
fof(f23793,plain,
! [X0] : ~ gt(X0,plus(n3,X0)),
inference(paramodulation,[status(thm)],[f2375,f10620]) ).
fof(f23820,plain,
( plus(n3,n2) = n2
| ~ sP15_prd(plus(n3,n2)) ),
inference(resolution,[status(thm)],[f23793,f2227]) ).
fof(f23832,definition,
( sQ703_spl
<=> sP15_prd(plus(n3,n2)) ),
introduced(definition,[new_symbols(definition,[sQ703_spl])],[split_symbol_definition]) ).
fof(f23835,definition,
( sQ704_spl
<=> plus(n3,n2) = n2 ),
introduced(definition,[new_symbols(definition,[sQ704_spl])],[split_symbol_definition]) ).
fof(f23836,plain,
( ~ sQ704_spl
| plus(n3,n2) = n2 ),
inference(component_clause,[status(thm)],[f23835]) ).
fof(f23838,plain,
( sQ704_spl
| ~ sQ703_spl ),
inference(split_clause,[status(thm)],[f23820,f23832,f23835]) ).
fof(f23974,plain,
! [X0] :
( ~ leq(n0,pred(n1))
| ~ gt(uniform_int_rnd(X0,pred(n1)),n4) ),
inference(resolution,[status(thm)],[f2590,f922]) ).
fof(f23975,plain,
! [X0] :
( uniform_int_rnd(X0,n1) = n1
| ~ leq(n0,n1)
| ~ gt(uniform_int_rnd(X0,n1),n4) ),
inference(resolution,[status(thm)],[f2590,f923]) ).
fof(f23989,definition,
! [X0] :
( sQ705_spl
<=> ~ gt(uniform_int_rnd(X0,pred(n1)),n4) ),
introduced(definition,[new_symbols(definition,[sQ705_spl])],[split_symbol_definition]) ).
fof(f23992,plain,
( ~ sQ307_spl
| sQ705_spl ),
inference(split_clause,[status(thm)],[f23974,f23989,f9211]) ).
fof(f23993,definition,
! [X0] :
( sQ706_spl
<=> ( uniform_int_rnd(X0,n1) = n1
| ~ gt(uniform_int_rnd(X0,n1),n4) ) ),
introduced(definition,[new_symbols(definition,[sQ706_spl])],[split_symbol_definition]) ).
fof(f23996,plain,
( ~ sQ74_spl
| sQ706_spl ),
inference(split_clause,[status(thm)],[f23975,f23993,f1028]) ).
fof(f24011,plain,
~ gt(pred(tptp_minus_1),n5),
inference(resolution,[status(thm)],[f2605,f861]) ).
fof(f24020,definition,
( sQ707_spl
<=> gt(tptp_minus_1,n5) ),
introduced(definition,[new_symbols(definition,[sQ707_spl])],[split_symbol_definition]) ).
fof(f24044,plain,
! [X0] :
( pred(tptp_minus_1) = n5
| gt(X0,pred(tptp_minus_1))
| ~ gt(X0,n5) ),
inference(resolution,[status(thm)],[f24011,f734]) ).
fof(f24048,plain,
( n5 = pred(tptp_minus_1)
| gt(n5,pred(tptp_minus_1)) ),
inference(resolution,[status(thm)],[f24011,f87]) ).
fof(f24049,definition,
( sQ710_spl
<=> n5 = pred(tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[sQ710_spl])],[split_symbol_definition]) ).
fof(f24050,plain,
( ~ sQ710_spl
| n5 = pred(tptp_minus_1) ),
inference(component_clause,[status(thm)],[f24049]) ).
fof(f24053,definition,
! [X0] :
( sQ711_spl
<=> ( gt(X0,pred(tptp_minus_1))
| ~ gt(X0,n5) ) ),
introduced(definition,[new_symbols(definition,[sQ711_spl])],[split_symbol_definition]) ).
fof(f24056,plain,
( sQ710_spl
| sQ711_spl ),
inference(split_clause,[status(thm)],[f24044,f24053,f24049]) ).
fof(f24057,definition,
( sQ712_spl
<=> gt(n5,pred(tptp_minus_1)) ),
introduced(definition,[new_symbols(definition,[sQ712_spl])],[split_symbol_definition]) ).
fof(f24060,plain,
( sQ710_spl
| sQ712_spl ),
inference(split_clause,[status(thm)],[f24048,f24057,f24049]) ).
fof(f24062,plain,
( ~ sQ674_spl
| ~ sQ710_spl
| gt(n3,n5) ),
inference(backward_demodulation,[status(thm)],[f24050,f22254]) ).
fof(f24117,plain,
( ~ sQ674_spl
| ~ sQ710_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24062,f3008]) ).
fof(f24118,plain,
( ~ sQ674_spl
| ~ sQ710_spl ),
inference(contradiction_clause,[status(thm)],[f24117]) ).
fof(f24145,plain,
! [X0] :
( ~ leq(sK42_skl(X0),tptp_minus_1)
| ~ leq(n0,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2284,f1480]) ).
fof(f24146,plain,
! [X0,X1] :
( ~ leq(sK42_skl(X0),X1)
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ leq(n0,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2284,f1078]) ).
fof(f24147,plain,
! [X0,X1] :
( ~ leq(sK42_skl(X0),X1)
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2284,f1066]) ).
fof(f24148,plain,
! [X0,X1] :
( ~ leq(sK42_skl(X0),X1)
| X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ leq(n0,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2284,f1012]) ).
fof(f24149,plain,
! [X0,X1] :
( ~ leq(sK42_skl(X0),X1)
| X1 = n0
| ~ leq(X1,n0)
| ~ leq(n0,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2284,f979]) ).
fof(f24150,plain,
! [X0] :
( sK42_skl(X0) = n4
| sK42_skl(X0) = n3
| sK42_skl(X0) = n2
| sK42_skl(X0) = n1
| sK42_skl(X0) = n0
| ~ leq(sK42_skl(X0),n4)
| ~ leq(n0,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2284,f293]) ).
fof(f24151,plain,
! [X0] :
( sK42_skl(X0) = n5
| sK42_skl(X0) = n4
| sK42_skl(X0) = n3
| sK42_skl(X0) = n2
| sK42_skl(X0) = n1
| sK42_skl(X0) = n0
| ~ leq(sK42_skl(X0),n5)
| ~ leq(n0,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2284,f295]) ).
fof(f24152,plain,
! [X0] :
( sK42_skl(X0) = n3
| sK42_skl(X0) = n2
| sK42_skl(X0) = n1
| sK42_skl(X0) = n0
| ~ leq(sK42_skl(X0),n3)
| ~ leq(n0,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2284,f303]) ).
fof(f24153,plain,
! [X0] :
( sK42_skl(X0) = n1
| sK42_skl(X0) = n0
| ~ leq(sK42_skl(X0),n1)
| ~ leq(n0,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2284,f299]) ).
fof(f24154,plain,
! [X0] :
( sK42_skl(X0) = n2
| sK42_skl(X0) = n1
| sK42_skl(X0) = n0
| ~ leq(sK42_skl(X0),n2)
| ~ leq(n0,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2284,f301]) ).
fof(f24155,plain,
! [X0] :
( sK42_skl(X0) = n0
| ~ leq(sK42_skl(X0),n0)
| ~ leq(n0,n0)
| ~ sP15_prd(X0) ),
inference(resolution,[status(thm)],[f2284,f297]) ).
fof(f24203,definition,
! [X0] :
( sQ719_spl
<=> ( ~ leq(sK42_skl(X0),tptp_minus_1)
| ~ sP15_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ719_spl])],[split_symbol_definition]) ).
fof(f24206,plain,
( ~ sQ68_spl
| sQ719_spl ),
inference(split_clause,[status(thm)],[f24145,f24203,f995]) ).
fof(f24207,definition,
! [X0,X1] :
( sQ720_spl
<=> ( ~ leq(sK42_skl(X0),X1)
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ sP15_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ720_spl])],[split_symbol_definition]) ).
fof(f24210,plain,
( ~ sQ68_spl
| sQ720_spl ),
inference(split_clause,[status(thm)],[f24146,f24207,f995]) ).
fof(f24211,definition,
! [X0,X1] :
( sQ721_spl
<=> ( ~ leq(sK42_skl(X0),X1)
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ sP15_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ721_spl])],[split_symbol_definition]) ).
fof(f24214,plain,
( ~ sQ68_spl
| sQ721_spl ),
inference(split_clause,[status(thm)],[f24147,f24211,f995]) ).
fof(f24215,definition,
! [X0,X1] :
( sQ722_spl
<=> ( ~ leq(sK42_skl(X0),X1)
| X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ sP15_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ722_spl])],[split_symbol_definition]) ).
fof(f24218,plain,
( ~ sQ68_spl
| sQ722_spl ),
inference(split_clause,[status(thm)],[f24148,f24215,f995]) ).
fof(f24219,definition,
! [X0,X1] :
( sQ723_spl
<=> ( ~ leq(sK42_skl(X0),X1)
| X1 = n0
| ~ leq(X1,n0)
| ~ sP15_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ723_spl])],[split_symbol_definition]) ).
fof(f24222,plain,
( ~ sQ68_spl
| sQ723_spl ),
inference(split_clause,[status(thm)],[f24149,f24219,f995]) ).
fof(f24223,definition,
! [X0] :
( sQ724_spl
<=> ( sK42_skl(X0) = n4
| sK42_skl(X0) = n3
| sK42_skl(X0) = n2
| sK42_skl(X0) = n1
| sK42_skl(X0) = n0
| ~ leq(sK42_skl(X0),n4)
| ~ sP15_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ724_spl])],[split_symbol_definition]) ).
fof(f24226,plain,
( ~ sQ68_spl
| sQ724_spl ),
inference(split_clause,[status(thm)],[f24150,f24223,f995]) ).
fof(f24227,definition,
! [X0] :
( sQ725_spl
<=> ( sK42_skl(X0) = n5
| sK42_skl(X0) = n4
| sK42_skl(X0) = n3
| sK42_skl(X0) = n2
| sK42_skl(X0) = n1
| sK42_skl(X0) = n0
| ~ leq(sK42_skl(X0),n5)
| ~ sP15_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ725_spl])],[split_symbol_definition]) ).
fof(f24230,plain,
( ~ sQ68_spl
| sQ725_spl ),
inference(split_clause,[status(thm)],[f24151,f24227,f995]) ).
fof(f24231,definition,
! [X0] :
( sQ726_spl
<=> ( sK42_skl(X0) = n3
| sK42_skl(X0) = n2
| sK42_skl(X0) = n1
| sK42_skl(X0) = n0
| ~ leq(sK42_skl(X0),n3)
| ~ sP15_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ726_spl])],[split_symbol_definition]) ).
fof(f24234,plain,
( ~ sQ68_spl
| sQ726_spl ),
inference(split_clause,[status(thm)],[f24152,f24231,f995]) ).
fof(f24235,definition,
! [X0] :
( sQ727_spl
<=> ( sK42_skl(X0) = n1
| sK42_skl(X0) = n0
| ~ leq(sK42_skl(X0),n1)
| ~ sP15_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ727_spl])],[split_symbol_definition]) ).
fof(f24238,plain,
( ~ sQ68_spl
| sQ727_spl ),
inference(split_clause,[status(thm)],[f24153,f24235,f995]) ).
fof(f24239,definition,
! [X0] :
( sQ728_spl
<=> ( sK42_skl(X0) = n2
| sK42_skl(X0) = n1
| sK42_skl(X0) = n0
| ~ leq(sK42_skl(X0),n2)
| ~ sP15_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ728_spl])],[split_symbol_definition]) ).
fof(f24242,plain,
( ~ sQ68_spl
| sQ728_spl ),
inference(split_clause,[status(thm)],[f24154,f24239,f995]) ).
fof(f24243,definition,
! [X0] :
( sQ729_spl
<=> ( sK42_skl(X0) = n0
| ~ leq(sK42_skl(X0),n0)
| ~ sP15_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ729_spl])],[split_symbol_definition]) ).
fof(f24246,plain,
( ~ sQ68_spl
| sQ729_spl ),
inference(split_clause,[status(thm)],[f24155,f24243,f995]) ).
fof(f24468,plain,
! [X0] :
( ~ sP12_prd(X0)
| ~ leq(sK41_skl(X0),n3)
| ~ leq(n0,sK41_skl(X0))
| sP15_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2445,f477]) ).
fof(f24469,plain,
! [X0] :
( ~ sP12_prd(X0)
| ~ sP12_prd(X0)
| ~ leq(n0,sK41_skl(X0))
| sP15_prd(X0) ),
inference(resolution,[status(thm)],[f24468,f479]) ).
fof(f24475,plain,
! [X0] :
( ~ sP12_prd(X0)
| ~ leq(n0,sK41_skl(X0))
| sP15_prd(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f24469]) ).
fof(f24476,plain,
! [X0] :
( ~ sP12_prd(X0)
| sP15_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f24475,f478]) ).
fof(f24568,plain,
! [X0] :
( ~ sP9_prd(X0)
| ~ leq(sK40_skl(X0),n3)
| ~ leq(n0,sK40_skl(X0))
| sP15_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2446,f456]) ).
fof(f24569,plain,
! [X0] :
( ~ sP9_prd(X0)
| ~ sP9_prd(X0)
| ~ leq(n0,sK40_skl(X0))
| sP15_prd(X0) ),
inference(resolution,[status(thm)],[f24568,f458]) ).
fof(f24575,plain,
! [X0] :
( ~ sP9_prd(X0)
| ~ leq(n0,sK40_skl(X0))
| sP15_prd(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f24569]) ).
fof(f24576,plain,
! [X0] :
( ~ sP9_prd(X0)
| sP15_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f24575,f457]) ).
fof(f24610,plain,
! [X0] :
( ~ leq(n0,pred(n3))
| ~ gt(uniform_int_rnd(X0,pred(n3)),n5) ),
inference(resolution,[status(thm)],[f2619,f922]) ).
fof(f24611,plain,
! [X0] :
( uniform_int_rnd(X0,n3) = n3
| ~ leq(n0,n3)
| ~ gt(uniform_int_rnd(X0,n3),n5) ),
inference(resolution,[status(thm)],[f2619,f923]) ).
fof(f24625,definition,
! [X0] :
( sQ731_spl
<=> ~ gt(uniform_int_rnd(X0,pred(n3)),n5) ),
introduced(definition,[new_symbols(definition,[sQ731_spl])],[split_symbol_definition]) ).
fof(f24628,plain,
( ~ sQ301_spl
| sQ731_spl ),
inference(split_clause,[status(thm)],[f24610,f24625,f9190]) ).
fof(f24629,definition,
! [X0] :
( sQ732_spl
<=> ( uniform_int_rnd(X0,n3) = n3
| ~ gt(uniform_int_rnd(X0,n3),n5) ) ),
introduced(definition,[new_symbols(definition,[sQ732_spl])],[split_symbol_definition]) ).
fof(f24632,plain,
( ~ sQ77_spl
| sQ732_spl ),
inference(split_clause,[status(thm)],[f24611,f24629,f1081]) ).
fof(f24647,plain,
! [X0] :
( ~ sP4_prd(X0)
| ~ leq(sK36_skl(X0),n3)
| ~ leq(n0,sK36_skl(X0))
| sP15_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2447,f403]) ).
fof(f24648,plain,
! [X0] :
( ~ sP4_prd(X0)
| ~ sP4_prd(X0)
| ~ leq(n0,sK36_skl(X0))
| sP15_prd(X0) ),
inference(resolution,[status(thm)],[f24647,f405]) ).
fof(f24654,plain,
! [X0] :
( ~ sP4_prd(X0)
| ~ leq(n0,sK36_skl(X0))
| sP15_prd(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f24648]) ).
fof(f24655,plain,
! [X0] :
( ~ sP4_prd(X0)
| sP15_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f24654,f404]) ).
fof(f24712,plain,
! [X0] : leq(X0,plus(n2,succ(X0))),
inference(resolution,[status(thm)],[f2644,f10837]) ).
fof(f24745,plain,
! [X0] : leq(X0,plus(succ(X0),n2)),
inference(forward_demodulation,[status(thm)],[f2355,f24712]) ).
fof(f24746,plain,
! [X0] : leq(X0,plus(n3,X0)),
inference(forward_demodulation,[status(thm)],[f22934,f24745]) ).
fof(f24772,plain,
( plus(n3,n0) = n4
| plus(n3,n0) = n3
| plus(n3,n0) = n2
| plus(n3,n0) = n1
| plus(n3,n0) = n0
| ~ leq(plus(n3,n0),n4) ),
inference(resolution,[status(thm)],[f24746,f293]) ).
fof(f24774,plain,
( plus(n3,n0) = n3
| plus(n3,n0) = n2
| plus(n3,n0) = n1
| plus(n3,n0) = n0
| ~ leq(plus(n3,n0),n3) ),
inference(resolution,[status(thm)],[f24746,f303]) ).
fof(f24775,plain,
( plus(n3,n0) = n1
| plus(n3,n0) = n0
| ~ leq(plus(n3,n0),n1) ),
inference(resolution,[status(thm)],[f24746,f299]) ).
fof(f24776,plain,
( plus(n3,n0) = n2
| plus(n3,n0) = n1
| plus(n3,n0) = n0
| ~ leq(plus(n3,n0),n2) ),
inference(resolution,[status(thm)],[f24746,f301]) ).
fof(f24777,plain,
( plus(n3,n0) = n0
| ~ leq(plus(n3,n0),n0) ),
inference(resolution,[status(thm)],[f24746,f297]) ).
fof(f24786,plain,
! [X0] : leq(X0,plus(X0,n3)),
inference(paramodulation,[status(thm)],[f2375,f24746]) ).
fof(f24809,definition,
( sQ734_spl
<=> leq(plus(n3,n0),n4) ),
introduced(definition,[new_symbols(definition,[sQ734_spl])],[split_symbol_definition]) ).
fof(f24811,plain,
( sQ734_spl
| ~ leq(plus(n3,n0),n4) ),
inference(component_clause,[status(thm)],[f24809]) ).
fof(f24812,definition,
( sQ735_spl
<=> plus(n3,n0) = n0 ),
introduced(definition,[new_symbols(definition,[sQ735_spl])],[split_symbol_definition]) ).
fof(f24813,plain,
( ~ sQ735_spl
| plus(n3,n0) = n0 ),
inference(component_clause,[status(thm)],[f24812]) ).
fof(f24815,definition,
( sQ736_spl
<=> plus(n3,n0) = n1 ),
introduced(definition,[new_symbols(definition,[sQ736_spl])],[split_symbol_definition]) ).
fof(f24816,plain,
( ~ sQ736_spl
| plus(n3,n0) = n1 ),
inference(component_clause,[status(thm)],[f24815]) ).
fof(f24818,definition,
( sQ737_spl
<=> plus(n3,n0) = n2 ),
introduced(definition,[new_symbols(definition,[sQ737_spl])],[split_symbol_definition]) ).
fof(f24819,plain,
( ~ sQ737_spl
| plus(n3,n0) = n2 ),
inference(component_clause,[status(thm)],[f24818]) ).
fof(f24821,definition,
( sQ738_spl
<=> plus(n3,n0) = n3 ),
introduced(definition,[new_symbols(definition,[sQ738_spl])],[split_symbol_definition]) ).
fof(f24822,plain,
( ~ sQ738_spl
| plus(n3,n0) = n3 ),
inference(component_clause,[status(thm)],[f24821]) ).
fof(f24824,definition,
( sQ739_spl
<=> plus(n3,n0) = n4 ),
introduced(definition,[new_symbols(definition,[sQ739_spl])],[split_symbol_definition]) ).
fof(f24825,plain,
( ~ sQ739_spl
| plus(n3,n0) = n4 ),
inference(component_clause,[status(thm)],[f24824]) ).
fof(f24827,plain,
( sQ739_spl
| sQ738_spl
| sQ737_spl
| sQ736_spl
| sQ735_spl
| ~ sQ734_spl ),
inference(split_clause,[status(thm)],[f24772,f24809,f24812,f24815,f24818,f24821,f24824]) ).
fof(f24828,definition,
( sQ740_spl
<=> leq(plus(n3,n0),n5) ),
introduced(definition,[new_symbols(definition,[sQ740_spl])],[split_symbol_definition]) ).
fof(f24830,plain,
( sQ740_spl
| ~ leq(plus(n3,n0),n5) ),
inference(component_clause,[status(thm)],[f24828]) ).
fof(f24831,definition,
( sQ741_spl
<=> plus(n3,n0) = n5 ),
introduced(definition,[new_symbols(definition,[sQ741_spl])],[split_symbol_definition]) ).
fof(f24832,plain,
( ~ sQ741_spl
| plus(n3,n0) = n5 ),
inference(component_clause,[status(thm)],[f24831]) ).
fof(f24835,definition,
( sQ742_spl
<=> leq(plus(n3,n0),n3) ),
introduced(definition,[new_symbols(definition,[sQ742_spl])],[split_symbol_definition]) ).
fof(f24838,plain,
( sQ738_spl
| sQ737_spl
| sQ736_spl
| sQ735_spl
| ~ sQ742_spl ),
inference(split_clause,[status(thm)],[f24774,f24835,f24812,f24815,f24818,f24821]) ).
fof(f24839,definition,
( sQ743_spl
<=> leq(plus(n3,n0),n1) ),
introduced(definition,[new_symbols(definition,[sQ743_spl])],[split_symbol_definition]) ).
fof(f24842,plain,
( sQ736_spl
| sQ735_spl
| ~ sQ743_spl ),
inference(split_clause,[status(thm)],[f24775,f24839,f24812,f24815]) ).
fof(f24843,definition,
( sQ744_spl
<=> leq(plus(n3,n0),n2) ),
introduced(definition,[new_symbols(definition,[sQ744_spl])],[split_symbol_definition]) ).
fof(f24846,plain,
( sQ737_spl
| sQ736_spl
| sQ735_spl
| ~ sQ744_spl ),
inference(split_clause,[status(thm)],[f24776,f24843,f24812,f24815,f24818]) ).
fof(f24847,definition,
( sQ745_spl
<=> leq(plus(n3,n0),n0) ),
introduced(definition,[new_symbols(definition,[sQ745_spl])],[split_symbol_definition]) ).
fof(f24850,plain,
( sQ735_spl
| ~ sQ745_spl ),
inference(split_clause,[status(thm)],[f24777,f24847,f24812]) ).
fof(f24853,plain,
( ~ sQ735_spl
| plus(n0,n3) = n0 ),
inference(forward_demodulation,[status(thm)],[f2375,f24813]) ).
fof(f24877,plain,
( plus(n0,n3) = n4
| plus(n0,n3) = n3
| plus(n0,n3) = n2
| plus(n0,n3) = n1
| plus(n0,n3) = n0
| ~ leq(plus(n0,n3),n4) ),
inference(resolution,[status(thm)],[f24786,f293]) ).
fof(f24880,plain,
( plus(n0,n3) = n1
| plus(n0,n3) = n0
| ~ leq(plus(n0,n3),n1) ),
inference(resolution,[status(thm)],[f24786,f299]) ).
fof(f24881,plain,
( plus(n0,n3) = n2
| plus(n0,n3) = n1
| plus(n0,n3) = n0
| ~ leq(plus(n0,n3),n2) ),
inference(resolution,[status(thm)],[f24786,f301]) ).
fof(f24882,plain,
( plus(n0,n3) = n0
| ~ leq(plus(n0,n3),n0) ),
inference(resolution,[status(thm)],[f24786,f297]) ).
fof(f24914,definition,
( sQ746_spl
<=> leq(plus(n0,n3),n4) ),
introduced(definition,[new_symbols(definition,[sQ746_spl])],[split_symbol_definition]) ).
fof(f24916,plain,
( sQ746_spl
| ~ leq(plus(n0,n3),n4) ),
inference(component_clause,[status(thm)],[f24914]) ).
fof(f24917,definition,
( sQ747_spl
<=> plus(n0,n3) = n0 ),
introduced(definition,[new_symbols(definition,[sQ747_spl])],[split_symbol_definition]) ).
fof(f24918,plain,
( ~ sQ747_spl
| plus(n0,n3) = n0 ),
inference(component_clause,[status(thm)],[f24917]) ).
fof(f24920,definition,
( sQ748_spl
<=> plus(n0,n3) = n1 ),
introduced(definition,[new_symbols(definition,[sQ748_spl])],[split_symbol_definition]) ).
fof(f24921,plain,
( ~ sQ748_spl
| plus(n0,n3) = n1 ),
inference(component_clause,[status(thm)],[f24920]) ).
fof(f24923,definition,
( sQ749_spl
<=> plus(n0,n3) = n2 ),
introduced(definition,[new_symbols(definition,[sQ749_spl])],[split_symbol_definition]) ).
fof(f24924,plain,
( ~ sQ749_spl
| plus(n0,n3) = n2 ),
inference(component_clause,[status(thm)],[f24923]) ).
fof(f24926,definition,
( sQ750_spl
<=> plus(n0,n3) = n3 ),
introduced(definition,[new_symbols(definition,[sQ750_spl])],[split_symbol_definition]) ).
fof(f24929,definition,
( sQ751_spl
<=> plus(n0,n3) = n4 ),
introduced(definition,[new_symbols(definition,[sQ751_spl])],[split_symbol_definition]) ).
fof(f24930,plain,
( ~ sQ751_spl
| plus(n0,n3) = n4 ),
inference(component_clause,[status(thm)],[f24929]) ).
fof(f24932,plain,
( sQ751_spl
| sQ750_spl
| sQ749_spl
| sQ748_spl
| sQ747_spl
| ~ sQ746_spl ),
inference(split_clause,[status(thm)],[f24877,f24914,f24917,f24920,f24923,f24926,f24929]) ).
fof(f24933,definition,
( sQ752_spl
<=> leq(plus(n0,n3),n5) ),
introduced(definition,[new_symbols(definition,[sQ752_spl])],[split_symbol_definition]) ).
fof(f24935,plain,
( sQ752_spl
| ~ leq(plus(n0,n3),n5) ),
inference(component_clause,[status(thm)],[f24933]) ).
fof(f24936,definition,
( sQ753_spl
<=> plus(n0,n3) = n5 ),
introduced(definition,[new_symbols(definition,[sQ753_spl])],[split_symbol_definition]) ).
fof(f24937,plain,
( ~ sQ753_spl
| plus(n0,n3) = n5 ),
inference(component_clause,[status(thm)],[f24936]) ).
fof(f24940,definition,
( sQ754_spl
<=> leq(plus(n0,n3),n3) ),
introduced(definition,[new_symbols(definition,[sQ754_spl])],[split_symbol_definition]) ).
fof(f24942,plain,
( sQ754_spl
| ~ leq(plus(n0,n3),n3) ),
inference(component_clause,[status(thm)],[f24940]) ).
fof(f24944,definition,
( sQ755_spl
<=> leq(plus(n0,n3),n1) ),
introduced(definition,[new_symbols(definition,[sQ755_spl])],[split_symbol_definition]) ).
fof(f24947,plain,
( sQ748_spl
| sQ747_spl
| ~ sQ755_spl ),
inference(split_clause,[status(thm)],[f24880,f24944,f24917,f24920]) ).
fof(f24948,definition,
( sQ756_spl
<=> leq(plus(n0,n3),n2) ),
introduced(definition,[new_symbols(definition,[sQ756_spl])],[split_symbol_definition]) ).
fof(f24951,plain,
( sQ749_spl
| sQ748_spl
| sQ747_spl
| ~ sQ756_spl ),
inference(split_clause,[status(thm)],[f24881,f24948,f24917,f24920,f24923]) ).
fof(f24952,definition,
( sQ757_spl
<=> leq(plus(n0,n3),n0) ),
introduced(definition,[new_symbols(definition,[sQ757_spl])],[split_symbol_definition]) ).
fof(f24955,plain,
( sQ747_spl
| ~ sQ757_spl ),
inference(split_clause,[status(thm)],[f24882,f24952,f24917]) ).
fof(f24975,plain,
( gt(n2,n2)
| ~ sP9_prd(n3) ),
inference(paramodulation,[status(thm)],[f3365,f3930]) ).
fof(f24984,plain,
( sQ256_spl
| ~ sQ352_spl ),
inference(split_clause,[status(thm)],[f24975,f9921,f8194]) ).
fof(f24988,plain,
( ~ sQ735_spl
| n0 = n3 ),
inference(backward_demodulation,[status(thm)],[f24853,f5431]) ).
fof(f24993,plain,
( ~ sQ735_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f24988,f1084,f24812]) ).
fof(f24996,plain,
( ~ sQ736_spl
| plus(n0,n3) = n1 ),
inference(forward_demodulation,[status(thm)],[f2375,f24816]) ).
fof(f25001,plain,
( ~ sQ747_spl
| ~ leq(n0,n0) ),
inference(paramodulation,[status(thm)],[f24918,f10600]) ).
fof(f25003,plain,
( ~ sQ747_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f25001,f995,f24917]) ).
fof(f25009,plain,
( ~ sQ736_spl
| n1 = n3 ),
inference(forward_demodulation,[status(thm)],[f24996,f5431]) ).
fof(f25010,plain,
( ~ sQ736_spl
| sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25009,f1276]) ).
fof(f25011,plain,
( ~ sQ736_spl
| sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f25010]) ).
fof(f25012,plain,
( ~ sQ737_spl
| plus(n0,n3) = n2 ),
inference(forward_demodulation,[status(thm)],[f2375,f24819]) ).
fof(f25029,plain,
( ~ sQ749_spl
| n2 = n3 ),
inference(backward_demodulation,[status(thm)],[f24924,f5431]) ).
fof(f25034,plain,
( ~ sQ749_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f25029,f1353,f24923]) ).
fof(f25035,plain,
( ~ sQ738_spl
| plus(n0,n3) = n3 ),
inference(forward_demodulation,[status(thm)],[f2375,f24822]) ).
fof(f25143,plain,
( ~ sQ738_spl
| ~ sQ748_spl
| n1 = n3 ),
inference(backward_demodulation,[status(thm)],[f24921,f25035]) ).
fof(f25148,plain,
( ~ sQ738_spl
| ~ sQ748_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f25143,f1274,f24920,f24821]) ).
fof(f25149,plain,
( ~ sQ739_spl
| plus(n0,n3) = n4 ),
inference(forward_demodulation,[status(thm)],[f2375,f24825]) ).
fof(f25150,plain,
( ~ sQ739_spl
| ~ sQ748_spl
| n1 = n4 ),
inference(forward_demodulation,[status(thm)],[f24921,f25149]) ).
fof(f25151,plain,
( ~ sQ739_spl
| ~ sQ748_spl
| sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25150,f2597]) ).
fof(f25152,plain,
( ~ sQ739_spl
| ~ sQ748_spl
| sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f25151]) ).
fof(f25157,plain,
( ~ sQ737_spl
| sQ749_spl ),
inference(split_clause,[status(thm)],[f25012,f24923,f24818]) ).
fof(f25198,plain,
( ~ gt(n1,n0)
| ~ gt(tptp_minus_1,n5) ),
inference(resolution,[status(thm)],[f2684,f944]) ).
fof(f25199,plain,
! [X0] :
( ~ leq(n0,pred(n1))
| ~ gt(uniform_int_rnd(X0,pred(n1)),n5) ),
inference(resolution,[status(thm)],[f2684,f922]) ).
fof(f25200,plain,
! [X0] :
( uniform_int_rnd(X0,n1) = n1
| ~ leq(n0,n1)
| ~ gt(uniform_int_rnd(X0,n1),n5) ),
inference(resolution,[status(thm)],[f2684,f923]) ).
fof(f25213,plain,
( ~ sQ92_spl
| ~ sQ707_spl ),
inference(split_clause,[status(thm)],[f25198,f24020,f1751]) ).
fof(f25214,definition,
! [X0] :
( sQ758_spl
<=> ~ gt(uniform_int_rnd(X0,pred(n1)),n5) ),
introduced(definition,[new_symbols(definition,[sQ758_spl])],[split_symbol_definition]) ).
fof(f25217,plain,
( ~ sQ307_spl
| sQ758_spl ),
inference(split_clause,[status(thm)],[f25199,f25214,f9211]) ).
fof(f25218,definition,
! [X0] :
( sQ759_spl
<=> ( uniform_int_rnd(X0,n1) = n1
| ~ gt(uniform_int_rnd(X0,n1),n5) ) ),
introduced(definition,[new_symbols(definition,[sQ759_spl])],[split_symbol_definition]) ).
fof(f25221,plain,
( ~ sQ74_spl
| sQ759_spl ),
inference(split_clause,[status(thm)],[f25200,f25218,f1028]) ).
fof(f25254,plain,
! [X0] :
( ~ sP15_prd(X0)
| ~ leq(sK42_skl(X0),n3)
| ~ leq(n0,sK42_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2773,f498]) ).
fof(f25255,plain,
! [X0] :
( ~ sP15_prd(X0)
| ~ sP15_prd(X0)
| ~ leq(n0,sK42_skl(X0)) ),
inference(resolution,[status(thm)],[f25254,f500]) ).
fof(f25261,plain,
! [X0] :
( ~ sP15_prd(X0)
| ~ leq(n0,sK42_skl(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f25255]) ).
fof(f25262,plain,
! [X0] : ~ sP15_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f25261,f499]) ).
fof(f25268,plain,
( ~ sQ40_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f695,f25262]) ).
fof(f25269,plain,
! [X0] : ~ sP4_prd(X0),
inference(backward_subsumption_resolution,[status(thm)],[f24655,f25262]) ).
fof(f25270,plain,
! [X0] : ~ sP9_prd(X0),
inference(backward_subsumption_resolution,[status(thm)],[f24576,f25262]) ).
fof(f25271,plain,
! [X0] : ~ sP12_prd(X0),
inference(backward_subsumption_resolution,[status(thm)],[f24476,f25262]) ).
fof(f25272,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f25268]) ).
fof(f25273,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f701,f7938]) ).
fof(f25274,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f25273]) ).
fof(f25275,plain,
( ~ sQ751_spl
| n3 = n4 ),
inference(forward_demodulation,[status(thm)],[f5431,f24930]) ).
fof(f25276,plain,
( ~ sQ751_spl
| sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25275,f2573]) ).
fof(f25277,plain,
( ~ sQ751_spl
| sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f25276]) ).
fof(f25284,plain,
( sQ734_spl
| ~ leq(plus(n0,n3),n4) ),
inference(forward_demodulation,[status(thm)],[f2375,f24811]) ).
fof(f25285,plain,
( sQ734_spl
| ~ leq(n3,n4) ),
inference(forward_demodulation,[status(thm)],[f5431,f25284]) ).
fof(f25286,plain,
( sQ734_spl
| ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25285,f3141]) ).
fof(f25287,plain,
( sQ734_spl
| ~ sQ137_spl ),
inference(contradiction_clause,[status(thm)],[f25286]) ).
fof(f25288,plain,
( sQ740_spl
| ~ leq(plus(n0,n3),n5) ),
inference(forward_demodulation,[status(thm)],[f2375,f24830]) ).
fof(f25289,plain,
( sQ740_spl
| ~ leq(n3,n5) ),
inference(forward_demodulation,[status(thm)],[f5431,f25288]) ).
fof(f25290,plain,
( sQ740_spl
| ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25289,f5122]) ).
fof(f25291,plain,
( sQ740_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f25290]) ).
fof(f25292,plain,
( sQ754_spl
| ~ leq(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f5431,f24942]) ).
fof(f25293,plain,
( sQ754_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25292,f92]) ).
fof(f25294,plain,
sQ754_spl,
inference(contradiction_clause,[status(thm)],[f25293]) ).
fof(f25295,plain,
( ~ sQ753_spl
| n3 = n5 ),
inference(forward_demodulation,[status(thm)],[f5431,f24937]) ).
fof(f25296,plain,
( ~ sQ753_spl
| sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25295,f2626]) ).
fof(f25297,plain,
( ~ sQ753_spl
| sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f25296]) ).
fof(f25298,plain,
( sQ752_spl
| ~ leq(n3,n5) ),
inference(forward_demodulation,[status(thm)],[f5431,f24935]) ).
fof(f25299,plain,
( sQ752_spl
| ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25298,f5122]) ).
fof(f25300,plain,
( sQ752_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f25299]) ).
fof(f25301,plain,
( sQ746_spl
| ~ leq(n3,n4) ),
inference(forward_demodulation,[status(thm)],[f5431,f24916]) ).
fof(f25302,plain,
( sQ746_spl
| ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25301,f3141]) ).
fof(f25303,plain,
( sQ746_spl
| ~ sQ137_spl ),
inference(contradiction_clause,[status(thm)],[f25302]) ).
fof(f25304,plain,
( ~ sQ741_spl
| plus(n0,n3) = n5 ),
inference(forward_demodulation,[status(thm)],[f2375,f24832]) ).
fof(f25305,plain,
( ~ sQ741_spl
| n3 = n5 ),
inference(forward_demodulation,[status(thm)],[f5431,f25304]) ).
fof(f25306,plain,
( ~ sQ741_spl
| sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25305,f2626]) ).
fof(f25307,plain,
( ~ sQ741_spl
| sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f25306]) ).
fof(f25308,plain,
( ~ sQ704_spl
| plus(n2,n3) = n2 ),
inference(forward_demodulation,[status(thm)],[f2375,f23836]) ).
fof(f25344,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f622,f25270]) ).
fof(f25345,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f25344]) ).
fof(f25346,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f599,f25271]) ).
fof(f25347,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f25346]) ).
fof(f25358,plain,
( ~ sQ52_spl
| ~ sQ60_spl
| n0 = n3 ),
inference(forward_demodulation,[status(thm)],[f818,f790]) ).
fof(f25359,plain,
( ~ sQ52_spl
| ~ sQ60_spl
| sQ380_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25358,f12022]) ).
fof(f25360,plain,
( ~ sQ52_spl
| ~ sQ60_spl
| sQ380_spl ),
inference(contradiction_clause,[status(thm)],[f25359]) ).
fof(f25375,plain,
( sQ12_spl
| ~ sQ50_spl
| ~ leq(n0,n3) ),
inference(forward_demodulation,[status(thm)],[f783,f557]) ).
fof(f25376,plain,
( sQ12_spl
| ~ sQ50_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25375,f13096]) ).
fof(f25377,plain,
( sQ12_spl
| ~ sQ50_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f25376]) ).
fof(f25420,plain,
( sQ12_spl
| ~ sQ58_spl
| ~ leq(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f811,f557]) ).
fof(f25421,plain,
( sQ12_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25420,f92]) ).
fof(f25422,plain,
( sQ12_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f25421]) ).
fof(f25423,plain,
( sQ12_spl
| ~ sQ50_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f25375,f1081,f782,f555]) ).
fof(f25531,plain,
( sQ13_spl
| ~ sQ180_spl
| ~ leq(n0,n1) ),
inference(forward_demodulation,[status(thm)],[f5921,f560]) ).
fof(f25532,plain,
( sQ13_spl
| ~ sQ180_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25531,f1029]) ).
fof(f25533,plain,
( sQ13_spl
| ~ sQ180_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f25532]) ).
fof(f25571,plain,
( sQ30_spl
| ~ sQ54_spl
| ~ sQ155_spl
| ~ leq(a_select2(s_values7,n2),a_select2(s_values7,n2)) ),
inference(forward_demodulation,[status(thm)],[f4441,f1960]) ).
fof(f25572,plain,
( sQ30_spl
| ~ sQ54_spl
| ~ sQ155_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25571,f92]) ).
fof(f25573,plain,
( sQ30_spl
| ~ sQ54_spl
| ~ sQ155_spl ),
inference(contradiction_clause,[status(thm)],[f25572]) ).
fof(f25582,plain,
( ~ sQ704_spl
| sQ573_spl ),
inference(split_clause,[status(thm)],[f25308,f16863,f23835]) ).
fof(f25612,plain,
( sQ6_spl
| ~ sQ52_spl
| ~ leq(n3,n3)
| ~ leq(n0,n3) ),
inference(resolution,[status(thm)],[f6757,f874]) ).
fof(f25613,plain,
( sQ6_spl
| ~ sQ52_spl
| ~ sQ151_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f25612,f1081,f4249,f789,f536]) ).
fof(f25653,plain,
( sQ6_spl
| ~ sQ60_spl
| a_select2(s_values7_init,n0) != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f818,f841]) ).
fof(f25654,plain,
( sQ6_spl
| ~ sQ60_spl
| ~ leq(n0,n3)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f25653,f874]) ).
fof(f25655,plain,
( sQ6_spl
| ~ sQ60_spl
| ~ sQ77_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f25654,f995,f1081,f817,f536]) ).
fof(f25662,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ sQ71_spl
| ~ gt(a_select2(s_values7,n2),a_select2(s_values7,n1)) ),
inference(forward_demodulation,[status(thm)],[f1018,f7236]) ).
fof(f25663,plain,
! [X0] :
( sQ9_spl
| ~ sQ54_spl
| ~ sQ71_spl
| a_select2(s_values7,n2) = a_select2(s_values7,n1)
| gt(X0,a_select2(s_values7,n2))
| ~ gt(X0,a_select2(s_values7,n1)) ),
inference(resolution,[status(thm)],[f25662,f734]) ).
fof(f25667,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ sQ71_spl
| a_select2(s_values7,n1) = a_select2(s_values7,n2)
| gt(a_select2(s_values7,n1),a_select2(s_values7,n2)) ),
inference(resolution,[status(thm)],[f25662,f87]) ).
fof(f25668,definition,
! [X0] :
( sQ760_spl
<=> ( gt(X0,a_select2(s_values7,n2))
| ~ gt(X0,a_select2(s_values7,n1)) ) ),
introduced(definition,[new_symbols(definition,[sQ760_spl])],[split_symbol_definition]) ).
fof(f25671,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ sQ71_spl
| sQ495_spl
| sQ760_spl ),
inference(split_clause,[status(thm)],[f25663,f25668,f13963,f1017,f796,f545]) ).
fof(f25672,plain,
( sQ9_spl
| ~ sQ54_spl
| ~ sQ71_spl
| sQ495_spl
| sQ496_spl ),
inference(split_clause,[status(thm)],[f25667,f13966,f13963,f1017,f796,f545]) ).
fof(f25674,plain,
( sQ6_spl
| ~ sQ71_spl
| a_select2(s_values7_init,n1) != s_best7_init ),
inference(forward_demodulation,[status(thm)],[f1018,f841]) ).
fof(f25707,plain,
( sQ185_spl
| ~ sQ56_spl
| ~ leq(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f804,f5941]) ).
fof(f25708,plain,
( sQ185_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25707,f92]) ).
fof(f25709,plain,
( sQ185_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f25708]) ).
fof(f25720,plain,
( sQ6_spl
| ~ sQ71_spl
| ~ leq(n1,n3)
| ~ leq(n0,n1) ),
inference(resolution,[status(thm)],[f25674,f874]) ).
fof(f25721,plain,
( sQ6_spl
| ~ sQ71_spl
| ~ sQ123_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f25720,f1028,f2819,f1017,f536]) ).
fof(f25723,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f574,f25269]) ).
fof(f25724,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f25723]) ).
fof(f25802,plain,
( sQ12_spl
| ~ sQ155_spl
| ~ leq(n0,n2) ),
inference(forward_demodulation,[status(thm)],[f4441,f557]) ).
fof(f25803,plain,
( sQ12_spl
| ~ sQ155_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25802,f1069]) ).
fof(f25804,plain,
( sQ12_spl
| ~ sQ155_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f25803]) ).
fof(f25805,plain,
$false,
inference(sat_refutation,[status(thm)],[f521,f525,f529,f548,f582,f583,f584,f607,f608,f630,f631,f633,f635,f693,f703,f704,f774,f781,f788,f795,f802,f809,f816,f823,f844,f847,f852,f906,f933,f970,f1001,f1003,f1042,f1100,f1108,f1112,f1141,f1314,f1435,f1443,f1728,f1763,f1769,f1844,f1863,f1958,f2022,f2328,f2354,f2403,f2439,f2457,f2493,f2496,f2556,f2565,f2574,f2598,f2613,f2618,f2627,f2679,f2692,f2829,f2861,f2864,f2874,f2878,f2942,f2945,f2948,f3028,f3066,f3074,f3184,f3342,f3415,f3659,f3702,f4003,f4009,f4200,f4213,f4264,f4265,f4272,f4277,f4425,f4443,f4447,f4451,f4455,f4463,f4466,f4716,f4761,f4798,f4873,f4960,f4963,f5228,f5232,f5233,f5237,f5257,f5261,f5262,f5266,f5312,f5328,f5451,f5491,f5508,f5512,f5525,f5530,f5606,f5610,f5614,f5618,f5702,f5874,f5887,f5930,f5934,f5938,f5942,f6044,f6063,f6098,f6286,f6290,f6294,f6298,f6302,f6306,f6310,f6314,f6318,f6322,f6326,f6330,f6334,f6338,f6342,f6346,f6354,f6358,f6362,f6366,f6370,f6374,f6425,f6618,f6619,f6620,f6621,f6675,f6677,f6680,f6682,f6699,f6701,f6704,f6707,f6710,f6731,f6735,f6756,f6821,f6825,f6836,f6837,f6838,f6839,f6852,f6872,f6898,f6961,f6965,f6969,f6973,f6977,f6981,f6984,f7001,f7007,f7022,f7023,f7024,f7025,f7035,f7054,f7055,f7078,f7086,f7151,f7157,f7182,f7186,f7219,f7223,f7234,f7273,f7780,f7809,f7810,f7811,f7812,f7862,f7863,f7864,f7865,f7941,f7972,f8087,f8099,f8215,f8219,f8226,f8229,f8435,f8469,f8587,f8740,f8744,f8753,f8791,f8942,f8950,f8975,f9163,f9189,f9196,f9203,f9210,f9225,f9228,f9232,f9320,f9342,f9350,f9358,f9366,f9422,f9483,f9506,f9537,f9541,f9545,f9549,f9553,f9557,f9604,f9632,f9663,f9690,f10093,f10097,f10101,f10105,f10109,f10113,f10126,f10130,f10288,f10423,f10483,f10487,f10491,f10523,f10539,f10578,f10673,f10707,f10721,f10729,f10734,f10770,f10848,f10852,f10856,f10891,f10933,f10937,f10941,f10945,f10953,f11027,f11031,f11054,f11105,f11109,f11113,f11144,f11168,f11188,f11192,f11198,f11201,f11204,f11207,f11210,f11212,f11214,f11219,f11221,f11227,f11231,f11234,f11236,f11242,f11264,f11266,f11389,f11426,f11450,f11488,f11524,f11530,f11584,f11615,f11651,f11692,f11838,f11935,f11939,f11943,f11951,f12073,f12077,f12098,f12106,f12123,f12152,f12164,f12179,f12182,f12185,f12189,f12193,f12237,f12271,f12316,f12364,f12402,f12439,f12597,f12635,f12673,f12711,f12735,f12785,f12848,f12894,f12903,f12980,f12984,f12988,f12996,f13014,f13018,f13021,f13104,f13321,f13325,f13329,f13333,f13337,f13364,f13403,f13535,f13536,f13537,f13548,f13610,f13614,f13623,f13626,f13629,f13632,f13635,f13639,f13641,f13701,f13719,f13768,f13785,f13794,f13821,f13824,f13835,f13838,f13843,f13845,f13849,f13858,f13861,f13865,f13882,f13890,f13895,f13899,f13903,f13915,f13934,f13938,f14036,f14040,f14048,f14052,f14055,f14059,f14063,f14066,f14069,f14072,f14138,f14142,f14150,f14154,f14157,f14161,f14165,f14168,f14171,f14174,f14222,f14246,f14249,f14293,f14326,f14479,f14487,f14511,f14514,f14517,f14520,f14523,f14527,f14531,f14573,f14578,f14582,f14624,f14628,f14632,f14649,f14674,f14719,f14826,f15275,f15290,f15295,f15718,f15839,f15843,f15887,f15981,f16106,f16107,f16108,f16109,f16203,f16204,f16391,f16420,f16424,f16428,f16487,f16724,f16752,f16768,f16769,f16776,f16777,f16778,f16841,f16842,f16859,f16866,f16879,f17149,f17159,f17618,f17622,f17626,f17630,f17634,f17638,f17642,f17646,f17650,f17654,f17842,f17846,f17856,f17861,f17863,f18043,f18047,f18101,f18799,f18806,f18807,f18811,f18857,f19050,f19054,f19058,f19100,f19101,f19106,f19113,f19165,f19166,f19167,f19168,f19169,f19173,f19174,f19175,f19204,f19252,f19307,f19340,f19342,f19347,f19421,f19473,f19475,f19476,f19495,f19499,f19512,f19554,f19623,f19627,f20148,f20152,f20156,f20160,f20164,f20168,f20172,f20176,f20180,f20184,f20188,f21726,f22248,f22252,f22256,f22281,f22285,f22289,f22407,f22541,f22677,f22839,f22841,f22842,f22867,f22871,f22885,f23174,f23536,f23540,f23544,f23599,f23718,f23748,f23752,f23838,f23992,f23996,f24056,f24060,f24118,f24206,f24210,f24214,f24218,f24222,f24226,f24230,f24234,f24238,f24242,f24246,f24628,f24632,f24827,f24838,f24842,f24846,f24850,f24932,f24947,f24951,f24955,f24984,f24993,f25003,f25011,f25034,f25148,f25152,f25157,f25213,f25217,f25221,f25272,f25274,f25277,f25287,f25291,f25294,f25297,f25300,f25303,f25307,f25345,f25347,f25360,f25377,f25422,f25423,f25533,f25573,f25582,f25613,f25655,f25671,f25672,f25709,f25721,f25724,f25804]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV036+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Mon Sep 21 08:28:06 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.31 % Drodi V4.1.1
% 159.98/20.57 % Refutation found
% 159.98/20.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 159.98/20.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 18.75/20.63 % Elapsed time: 20.314749 seconds
% 18.75/20.63 % CPU time: 160.706263 seconds
% 18.75/20.63 % Total memory used: 458.385 MB
% 18.75/20.63 % Net memory used: 401.985 MB
%------------------------------------------------------------------------------