%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SCT171+5 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 : Sun Sep 27 08:27:55 AM UTC 2026
% Result : Theorem 30.14s 4.32s
% Output : CNFRefutation 30.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 1 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 19 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 25 ( 25 usr; 14 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
hBOOL(hAPP(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool,hAPP('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool),member('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),hAPP('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),'product$uPair'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),c),d)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),f,hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),if(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(nat,fun('arrow$u1384031255e$uindi',bool),hAPP(fun('arrow$u1384031255e$uindi',fun(nat,bool)),fun(nat,fun('arrow$u1384031255e$uindi',bool)),combc('arrow$u1384031255e$uindi',nat,bool),hAPP(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool))),combb(nat,fun(nat,bool),'arrow$u1384031255e$uindi'),'ord$uless'(nat)),h)),n))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),'arrow$u1384031255e$uindi'),'arrow$u992993526$umktop'),p)),e))),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),if(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(nat,fun('arrow$u1384031255e$uindi',bool),hAPP(fun('arrow$u1384031255e$uindi',fun(nat,bool)),fun(nat,fun('arrow$u1384031255e$uindi',bool)),combc('arrow$u1384031255e$uindi',nat,bool),hAPP(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool))),combb(nat,fun(nat,bool),'arrow$u1384031255e$uindi'),fequal(nat)),h)),n))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),'arrow$u1726925404$uabove'),p)),c)),e))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),'arrow$u1384031255e$uindi'),'arrow$u844286440$umkbot'),p)),e)))))) ).
fof(fact_14_PW,axiom,
( hBOOL(hAPP(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool,hAPP('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool),member('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),hAPP('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),'product$uPair'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),c),d)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),f,p)))
<=> hBOOL(hAPP(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool,hAPP('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool),member('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),hAPP('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),'product$uPair'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),c),d)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),f,hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),if(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(nat,fun('arrow$u1384031255e$uindi',bool),hAPP(fun('arrow$u1384031255e$uindi',fun(nat,bool)),fun(nat,fun('arrow$u1384031255e$uindi',bool)),combc('arrow$u1384031255e$uindi',nat,bool),hAPP(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool))),combb(nat,fun(nat,bool),'arrow$u1384031255e$uindi'),'ord$uless'(nat)),h)),n))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),'arrow$u1384031255e$uindi'),'arrow$u992993526$umktop'),p)),e))),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),if(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(nat,fun('arrow$u1384031255e$uindi',bool),hAPP(fun('arrow$u1384031255e$uindi',fun(nat,bool)),fun(nat,fun('arrow$u1384031255e$uindi',bool)),combc('arrow$u1384031255e$uindi',nat,bool),hAPP(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool))),combb(nat,fun(nat,bool),'arrow$u1384031255e$uindi'),fequal(nat)),h)),n))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),'arrow$u1726925404$uabove'),p)),c)),e))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),'arrow$u1384031255e$uindi'),'arrow$u844286440$umkbot'),p)),e)))))) ) ).
fof(conj_0,conjecture,
hBOOL(hAPP(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool,hAPP('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool),member('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),hAPP('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),'product$uPair'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),c),d)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),f,p))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL(hAPP(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool,hAPP('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool),member('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),hAPP('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),'product$uPair'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),c),d)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),f,p))),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c114,plain,
hBOOL(hAPP(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool,hAPP('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool),member('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),hAPP('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),'product$uPair'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),c),d)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),f,hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),if(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(nat,fun('arrow$u1384031255e$uindi',bool),hAPP(fun('arrow$u1384031255e$uindi',fun(nat,bool)),fun(nat,fun('arrow$u1384031255e$uindi',bool)),combc('arrow$u1384031255e$uindi',nat,bool),hAPP(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool))),combb(nat,fun(nat,bool),'arrow$u1384031255e$uindi'),'ord$uless'(nat)),h)),n))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),'arrow$u1384031255e$uindi'),'arrow$u992993526$umktop'),p)),e))),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),if(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(nat,fun('arrow$u1384031255e$uindi',bool),hAPP(fun('arrow$u1384031255e$uindi',fun(nat,bool)),fun(nat,fun('arrow$u1384031255e$uindi',bool)),combc('arrow$u1384031255e$uindi',nat,bool),hAPP(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool))),combb(nat,fun(nat,bool),'arrow$u1384031255e$uindi'),fequal(nat)),h)),n))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),'arrow$u1726925404$uabove'),p)),c)),e))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),'arrow$u1384031255e$uindi'),'arrow$u844286440$umkbot'),p)),e)))))),
inference(clausification,[status(esa)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).
cnf(c116,plain,
( ~ hBOOL(hAPP(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool,hAPP('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool),member('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),hAPP('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),'product$uPair'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),c),d)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),f,hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),if(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(nat,fun('arrow$u1384031255e$uindi',bool),hAPP(fun('arrow$u1384031255e$uindi',fun(nat,bool)),fun(nat,fun('arrow$u1384031255e$uindi',bool)),combc('arrow$u1384031255e$uindi',nat,bool),hAPP(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool))),combb(nat,fun(nat,bool),'arrow$u1384031255e$uindi'),'ord$uless'(nat)),h)),n))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),'arrow$u1384031255e$uindi'),'arrow$u992993526$umktop'),p)),e))),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),if(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(nat,fun('arrow$u1384031255e$uindi',bool),hAPP(fun('arrow$u1384031255e$uindi',fun(nat,bool)),fun(nat,fun('arrow$u1384031255e$uindi',bool)),combc('arrow$u1384031255e$uindi',nat,bool),hAPP(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool))),combb(nat,fun(nat,bool),'arrow$u1384031255e$uindi'),fequal(nat)),h)),n))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),'arrow$u1726925404$uabove'),p)),c)),e))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),'arrow$u1384031255e$uindi'),'arrow$u844286440$umkbot'),p)),e))))))
| hBOOL(hAPP(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool,hAPP('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool),member('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),hAPP('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),'product$uPair'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),c),d)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),f,p))) ),
inference(clausification,[status(esa)],[fact_14_PW]) ).
cnf(c311,plain,
~ hBOOL(hAPP(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool,hAPP('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool),member('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),hAPP('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),'product$uPair'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),c),d)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),f,p))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ hBOOL(hAPP(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool,hAPP('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),bool),member('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),hAPP('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt','product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt')),'product$uPair'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),c),d)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),f,hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),if(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(nat,fun('arrow$u1384031255e$uindi',bool),hAPP(fun('arrow$u1384031255e$uindi',fun(nat,bool)),fun(nat,fun('arrow$u1384031255e$uindi',bool)),combc('arrow$u1384031255e$uindi',nat,bool),hAPP(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool))),combb(nat,fun(nat,bool),'arrow$u1384031255e$uindi'),'ord$uless'(nat)),h)),n))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),'arrow$u1384031255e$uindi'),'arrow$u992993526$umktop'),p)),e))),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combs('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',bool),fun('arrow$u1384031255e$uindi',fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(bool,fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),if(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(nat,fun('arrow$u1384031255e$uindi',bool),hAPP(fun('arrow$u1384031255e$uindi',fun(nat,bool)),fun(nat,fun('arrow$u1384031255e$uindi',bool)),combc('arrow$u1384031255e$uindi',nat,bool),hAPP(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun('arrow$u1384031255e$uindi',nat),fun('arrow$u1384031255e$uindi',fun(nat,bool))),combb(nat,fun(nat,bool),'arrow$u1384031255e$uindi'),fequal(nat)),h)),n))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),'arrow$u1384031255e$uindi'),'arrow$u1726925404$uabove'),p)),c)),e))),hAPP('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun('arrow$u1212486748le$ualt',fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),combc('arrow$u1384031255e$uindi','arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),hAPP(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),hAPP(fun(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool))),fun(fun('arrow$u1384031255e$uindi',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),fun('arrow$u1384031255e$uindi',fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)))),combb(fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool),fun('arrow$u1212486748le$ualt',fun('product$uprod'('arrow$u1212486748le$ualt','arrow$u1212486748le$ualt'),bool)),'arrow$u1384031255e$uindi'),'arrow$u844286440$umkbot'),p)),e)))))),
inference(resolution,[status(thm)],[c311,c116]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c114,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT171+5 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 06:38:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.14/4.32 % SZS status Theorem for theBenchmark.p
% 30.14/4.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------