TSTP Solution File: SCT171+5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SCT171+5 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 09:16:17 EDT 2024
% Result : Theorem 1.04s 0.75s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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(conj_0,conjecture,
hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,p))),
file('/export/starexec/sandbox/tmp/tmp.rejmKFWK1I/E---3.1_11316.p',conj_0) ).
fof(fact_14_PW,axiom,
( hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,p)))
<=> hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),ord_less(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_992993526_mktop),p)),e))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),fequal(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),arrow_1726925404_above),p)),c)),e))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_844286440_mkbot),p)),e)))))) ),
file('/export/starexec/sandbox/tmp/tmp.rejmKFWK1I/E---3.1_11316.p',fact_14_PW) ).
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_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),ord_less(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_992993526_mktop),p)),e))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),fequal(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),arrow_1726925404_above),p)),c)),e))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_844286440_mkbot),p)),e)))))),
file('/export/starexec/sandbox/tmp/tmp.rejmKFWK1I/E---3.1_11316.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(c_0_3,negated_conjecture,
~ hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,p))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_4,plain,
( ( ~ hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,p)))
| hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),ord_less(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_992993526_mktop),p)),e))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),fequal(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),arrow_1726925404_above),p)),c)),e))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_844286440_mkbot),p)),e)))))) )
& ( ~ hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),ord_less(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_992993526_mktop),p)),e))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),fequal(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),arrow_1726925404_above),p)),c)),e))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_844286440_mkbot),p)),e))))))
| hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,p))) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_14_PW])]) ).
fof(c_0_5,negated_conjecture,
~ hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,p))),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,p)))
| ~ hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),ord_less(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_992993526_mktop),p)),e))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),fequal(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),arrow_1726925404_above),p)),c)),e))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_844286440_mkbot),p)),e)))))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
~ hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,p))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),ord_less(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_992993526_mktop),p)),e))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),fequal(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),arrow_1726925404_above),p)),c)),e))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_844286440_mkbot),p)),e)))))),
inference(split_conjunct,[status(thm)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).
cnf(c_0_9,plain,
~ hBOOL(hAPP(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool,hAPP(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),bool),member(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),hAPP(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),hAPP(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt)),product_Pair(arrow_1212486748le_alt,arrow_1212486748le_alt),c),d)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),f,hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),ord_less(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_992993526_mktop),p)),e))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combs(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,bool),fun(arrow_1384031255e_indi,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(bool,fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),if(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(nat,fun(arrow_1384031255e_indi,bool),hAPP(fun(arrow_1384031255e_indi,fun(nat,bool)),fun(nat,fun(arrow_1384031255e_indi,bool)),combc(arrow_1384031255e_indi,nat,bool),hAPP(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(arrow_1384031255e_indi,nat),fun(arrow_1384031255e_indi,fun(nat,bool))),combb(nat,fun(nat,bool),arrow_1384031255e_indi),fequal(nat)),h)),n))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),arrow_1384031255e_indi),arrow_1726925404_above),p)),c)),e))),hAPP(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(arrow_1212486748le_alt,fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),combc(arrow_1384031255e_indi,arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),hAPP(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),hAPP(fun(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool))),fun(fun(arrow_1384031255e_indi,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),fun(arrow_1384031255e_indi,fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)))),combb(fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool),fun(arrow_1212486748le_alt,fun(product_prod(arrow_1212486748le_alt,arrow_1212486748le_alt),bool)),arrow_1384031255e_indi),arrow_844286440_mkbot),p)),e)))))),
inference(sr,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[c_0_8,c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.19 % Problem : SCT171+5 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.20 % Command : run_E %s %d THM
% 0.21/0.40 % Computer : n020.cluster.edu
% 0.21/0.40 % Model : x86_64 x86_64
% 0.21/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.40 % Memory : 8042.1875MB
% 0.21/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.40 % CPULimit : 300
% 0.21/0.40 % WCLimit : 300
% 0.21/0.40 % DateTime : Fri May 3 08:42:46 EDT 2024
% 0.21/0.41 % CPUTime :
% 0.42/0.62 Running first-order theorem proving
% 0.42/0.62 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.rejmKFWK1I/E---3.1_11316.p
% 1.04/0.75 # Version: 3.1.0
% 1.04/0.75 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.04/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.04/0.75 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.04/0.75 # Starting new_bool_3 with 300s (1) cores
% 1.04/0.75 # Starting new_bool_1 with 300s (1) cores
% 1.04/0.75 # Starting sh5l with 300s (1) cores
% 1.04/0.75 # new_bool_1 with pid 11437 completed with status 0
% 1.04/0.75 # Result found by new_bool_1
% 1.04/0.75 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.04/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.04/0.75 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.04/0.75 # Starting new_bool_3 with 300s (1) cores
% 1.04/0.75 # Starting new_bool_1 with 300s (1) cores
% 1.04/0.75 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.04/0.75 # Search class: FGHSM-FSLM33-DFFFFFNN
% 1.04/0.75 # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 1.04/0.75 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 55s (1) cores
% 1.04/0.75 # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with pid 11440 completed with status 0
% 1.04/0.75 # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S
% 1.04/0.75 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.04/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.04/0.75 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.04/0.75 # Starting new_bool_3 with 300s (1) cores
% 1.04/0.75 # Starting new_bool_1 with 300s (1) cores
% 1.04/0.75 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.04/0.75 # Search class: FGHSM-FSLM33-DFFFFFNN
% 1.04/0.75 # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 1.04/0.75 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 55s (1) cores
% 1.04/0.75 # Preprocessing time : 0.010 s
% 1.04/0.75 # Presaturation interreduction done
% 1.04/0.75
% 1.04/0.75 # Proof found!
% 1.04/0.75 # SZS status Theorem
% 1.04/0.75 # SZS output start CNFRefutation
% See solution above
% 1.04/0.75 # Parsed axioms : 169
% 1.04/0.75 # Removed by relevancy pruning/SinE : 70
% 1.04/0.75 # Initial clauses : 204
% 1.04/0.75 # Removed in clause preprocessing : 24
% 1.04/0.75 # Initial clauses in saturation : 180
% 1.04/0.75 # Processed clauses : 176
% 1.04/0.75 # ...of these trivial : 7
% 1.04/0.75 # ...subsumed : 15
% 1.04/0.75 # ...remaining for further processing : 153
% 1.04/0.75 # Other redundant clauses eliminated : 0
% 1.04/0.75 # Clauses deleted for lack of memory : 0
% 1.04/0.75 # Backward-subsumed : 0
% 1.04/0.75 # Backward-rewritten : 0
% 1.04/0.75 # Generated clauses : 0
% 1.04/0.75 # ...of the previous two non-redundant : 0
% 1.04/0.75 # ...aggressively subsumed : 0
% 1.04/0.75 # Contextual simplify-reflections : 0
% 1.04/0.75 # Paramodulations : 0
% 1.04/0.75 # Factorizations : 0
% 1.04/0.75 # NegExts : 0
% 1.04/0.75 # Equation resolutions : 0
% 1.04/0.75 # Disequality decompositions : 0
% 1.04/0.75 # Total rewrite steps : 12
% 1.04/0.75 # ...of those cached : 10
% 1.04/0.75 # Propositional unsat checks : 0
% 1.04/0.75 # Propositional check models : 0
% 1.04/0.75 # Propositional check unsatisfiable : 0
% 1.04/0.75 # Propositional clauses : 0
% 1.04/0.75 # Propositional clauses after purity: 0
% 1.04/0.75 # Propositional unsat core size : 0
% 1.04/0.75 # Propositional preprocessing time : 0.000
% 1.04/0.75 # Propositional encoding time : 0.000
% 1.04/0.75 # Propositional solver time : 0.000
% 1.04/0.75 # Success case prop preproc time : 0.000
% 1.04/0.75 # Success case prop encoding time : 0.000
% 1.04/0.75 # Success case prop solver time : 0.000
% 1.04/0.75 # Current number of processed clauses : 153
% 1.04/0.75 # Positive orientable unit clauses : 47
% 1.04/0.75 # Positive unorientable unit clauses: 1
% 1.04/0.75 # Negative unit clauses : 6
% 1.04/0.75 # Non-unit-clauses : 99
% 1.04/0.75 # Current number of unprocessed clauses: 4
% 1.04/0.75 # ...number of literals in the above : 6
% 1.04/0.75 # Current number of archived formulas : 0
% 1.04/0.75 # Current number of archived clauses : 0
% 1.04/0.75 # Clause-clause subsumption calls (NU) : 12831
% 1.04/0.75 # Rec. Clause-clause subsumption calls : 1646
% 1.04/0.75 # Non-unit clause-clause subsumptions : 11
% 1.04/0.75 # Unit Clause-clause subsumption calls : 12
% 1.04/0.75 # Rewrite failures with RHS unbound : 0
% 1.04/0.75 # BW rewrite match attempts : 703
% 1.04/0.75 # BW rewrite match successes : 0
% 1.04/0.75 # Condensation attempts : 0
% 1.04/0.75 # Condensation successes : 0
% 1.04/0.75 # Termbank termtop insertions : 112126
% 1.04/0.75 # Search garbage collected termcells : 3157
% 1.04/0.75
% 1.04/0.75 # -------------------------------------------------
% 1.04/0.75 # User time : 0.071 s
% 1.04/0.75 # System time : 0.009 s
% 1.04/0.75 # Total time : 0.079 s
% 1.04/0.75 # Maximum resident set size: 2896 pages
% 1.04/0.75
% 1.04/0.75 # -------------------------------------------------
% 1.04/0.75 # User time : 0.107 s
% 1.04/0.75 # System time : 0.013 s
% 1.04/0.75 # Total time : 0.121 s
% 1.04/0.75 # Maximum resident set size: 2028 pages
% 1.04/0.75 % E---3.1 exiting
% 1.04/0.76 % E exiting
%------------------------------------------------------------------------------