TPTP Problem File: LAT341+4.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : LAT341+4 : TPTP v8.2.0. Released v3.4.0.
% Domain : Lattice Theory
% Problem : Dual Concept Lattices T07
% Version : [Urb08] axioms : Especial.
% English :
% Refs : [Sch01] Schwarzweller (2001), A Characterization of Concept La
% : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% : [Urb08] Urban (2006), Email to G. Sutcliffe
% Source : [Urb08]
% Names : t7_conlat_2 [Urb08]
% Status : Unknown
% Rating : 1.00 v3.4.0
% Syntax : Number of formulae : 49807 (6668 unt; 0 def)
% Number of atoms : 373944 (41804 equ)
% Maximal formula atoms : 208 ( 7 avg)
% Number of connectives : 376050 (51913 ~;3790 |;185565 &)
% (8319 <=>;126463 =>; 0 <=; 0 <~>)
% Maximal formula depth : 150 ( 9 avg)
% Maximal term depth : 16 ( 1 avg)
% Number of predicates : 2581 (2579 usr; 3 prp; 0-8 aty)
% Number of functors : 6784 (6784 usr;1406 con; 0-10 aty)
% Number of variables : 141223 (134499 !;6724 ?)
% SPC : FOF_UNK_RFO_SEQ
% Comments : Chainy large version: includes all preceding MML articles.
% : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% : The problem encoding is based on set theory.
% : Infinox says this has no finite (counter-) models.
%------------------------------------------------------------------------------
include('Axioms/SET007/SET007+0.ax').
include('Axioms/SET007/SET007+1.ax').
include('Axioms/SET007/SET007+2.ax').
include('Axioms/SET007/SET007+3.ax').
include('Axioms/SET007/SET007+4.ax').
include('Axioms/SET007/SET007+5.ax').
include('Axioms/SET007/SET007+6.ax').
include('Axioms/SET007/SET007+7.ax').
include('Axioms/SET007/SET007+8.ax').
include('Axioms/SET007/SET007+9.ax').
include('Axioms/SET007/SET007+10.ax').
include('Axioms/SET007/SET007+11.ax').
include('Axioms/SET007/SET007+12.ax').
include('Axioms/SET007/SET007+13.ax').
include('Axioms/SET007/SET007+14.ax').
include('Axioms/SET007/SET007+15.ax').
include('Axioms/SET007/SET007+16.ax').
include('Axioms/SET007/SET007+17.ax').
include('Axioms/SET007/SET007+18.ax').
include('Axioms/SET007/SET007+19.ax').
include('Axioms/SET007/SET007+20.ax').
include('Axioms/SET007/SET007+21.ax').
include('Axioms/SET007/SET007+22.ax').
include('Axioms/SET007/SET007+23.ax').
include('Axioms/SET007/SET007+24.ax').
include('Axioms/SET007/SET007+25.ax').
include('Axioms/SET007/SET007+26.ax').
include('Axioms/SET007/SET007+27.ax').
include('Axioms/SET007/SET007+28.ax').
include('Axioms/SET007/SET007+29.ax').
include('Axioms/SET007/SET007+30.ax').
include('Axioms/SET007/SET007+31.ax').
include('Axioms/SET007/SET007+32.ax').
include('Axioms/SET007/SET007+33.ax').
include('Axioms/SET007/SET007+34.ax').
include('Axioms/SET007/SET007+35.ax').
include('Axioms/SET007/SET007+36.ax').
include('Axioms/SET007/SET007+37.ax').
include('Axioms/SET007/SET007+38.ax').
include('Axioms/SET007/SET007+39.ax').
include('Axioms/SET007/SET007+40.ax').
include('Axioms/SET007/SET007+41.ax').
include('Axioms/SET007/SET007+42.ax').
include('Axioms/SET007/SET007+43.ax').
include('Axioms/SET007/SET007+44.ax').
include('Axioms/SET007/SET007+45.ax').
include('Axioms/SET007/SET007+46.ax').
include('Axioms/SET007/SET007+47.ax').
include('Axioms/SET007/SET007+48.ax').
include('Axioms/SET007/SET007+49.ax').
include('Axioms/SET007/SET007+50.ax').
include('Axioms/SET007/SET007+51.ax').
include('Axioms/SET007/SET007+52.ax').
include('Axioms/SET007/SET007+53.ax').
include('Axioms/SET007/SET007+54.ax').
include('Axioms/SET007/SET007+55.ax').
include('Axioms/SET007/SET007+56.ax').
include('Axioms/SET007/SET007+57.ax').
include('Axioms/SET007/SET007+58.ax').
include('Axioms/SET007/SET007+59.ax').
include('Axioms/SET007/SET007+60.ax').
include('Axioms/SET007/SET007+61.ax').
include('Axioms/SET007/SET007+62.ax').
include('Axioms/SET007/SET007+63.ax').
include('Axioms/SET007/SET007+64.ax').
include('Axioms/SET007/SET007+65.ax').
include('Axioms/SET007/SET007+66.ax').
include('Axioms/SET007/SET007+67.ax').
include('Axioms/SET007/SET007+68.ax').
include('Axioms/SET007/SET007+69.ax').
include('Axioms/SET007/SET007+70.ax').
include('Axioms/SET007/SET007+71.ax').
include('Axioms/SET007/SET007+72.ax').
include('Axioms/SET007/SET007+73.ax').
include('Axioms/SET007/SET007+74.ax').
include('Axioms/SET007/SET007+75.ax').
include('Axioms/SET007/SET007+76.ax').
include('Axioms/SET007/SET007+77.ax').
include('Axioms/SET007/SET007+78.ax').
include('Axioms/SET007/SET007+79.ax').
include('Axioms/SET007/SET007+80.ax').
include('Axioms/SET007/SET007+81.ax').
include('Axioms/SET007/SET007+82.ax').
include('Axioms/SET007/SET007+83.ax').
include('Axioms/SET007/SET007+84.ax').
include('Axioms/SET007/SET007+85.ax').
include('Axioms/SET007/SET007+86.ax').
include('Axioms/SET007/SET007+87.ax').
include('Axioms/SET007/SET007+88.ax').
include('Axioms/SET007/SET007+89.ax').
include('Axioms/SET007/SET007+90.ax').
include('Axioms/SET007/SET007+91.ax').
include('Axioms/SET007/SET007+92.ax').
include('Axioms/SET007/SET007+93.ax').
include('Axioms/SET007/SET007+94.ax').
include('Axioms/SET007/SET007+95.ax').
include('Axioms/SET007/SET007+96.ax').
include('Axioms/SET007/SET007+97.ax').
include('Axioms/SET007/SET007+98.ax').
include('Axioms/SET007/SET007+99.ax').
include('Axioms/SET007/SET007+100.ax').
include('Axioms/SET007/SET007+101.ax').
include('Axioms/SET007/SET007+102.ax').
include('Axioms/SET007/SET007+103.ax').
include('Axioms/SET007/SET007+104.ax').
include('Axioms/SET007/SET007+105.ax').
include('Axioms/SET007/SET007+106.ax').
include('Axioms/SET007/SET007+107.ax').
include('Axioms/SET007/SET007+108.ax').
include('Axioms/SET007/SET007+109.ax').
include('Axioms/SET007/SET007+110.ax').
include('Axioms/SET007/SET007+111.ax').
include('Axioms/SET007/SET007+112.ax').
include('Axioms/SET007/SET007+113.ax').
include('Axioms/SET007/SET007+114.ax').
include('Axioms/SET007/SET007+115.ax').
include('Axioms/SET007/SET007+116.ax').
include('Axioms/SET007/SET007+117.ax').
include('Axioms/SET007/SET007+118.ax').
include('Axioms/SET007/SET007+119.ax').
include('Axioms/SET007/SET007+120.ax').
include('Axioms/SET007/SET007+121.ax').
include('Axioms/SET007/SET007+122.ax').
include('Axioms/SET007/SET007+123.ax').
include('Axioms/SET007/SET007+124.ax').
include('Axioms/SET007/SET007+125.ax').
include('Axioms/SET007/SET007+126.ax').
include('Axioms/SET007/SET007+127.ax').
include('Axioms/SET007/SET007+128.ax').
include('Axioms/SET007/SET007+129.ax').
include('Axioms/SET007/SET007+130.ax').
include('Axioms/SET007/SET007+131.ax').
include('Axioms/SET007/SET007+132.ax').
include('Axioms/SET007/SET007+133.ax').
include('Axioms/SET007/SET007+134.ax').
include('Axioms/SET007/SET007+135.ax').
include('Axioms/SET007/SET007+136.ax').
include('Axioms/SET007/SET007+137.ax').
include('Axioms/SET007/SET007+138.ax').
include('Axioms/SET007/SET007+139.ax').
include('Axioms/SET007/SET007+140.ax').
include('Axioms/SET007/SET007+141.ax').
include('Axioms/SET007/SET007+142.ax').
include('Axioms/SET007/SET007+143.ax').
include('Axioms/SET007/SET007+144.ax').
include('Axioms/SET007/SET007+145.ax').
include('Axioms/SET007/SET007+146.ax').
include('Axioms/SET007/SET007+147.ax').
include('Axioms/SET007/SET007+148.ax').
include('Axioms/SET007/SET007+149.ax').
include('Axioms/SET007/SET007+150.ax').
include('Axioms/SET007/SET007+151.ax').
include('Axioms/SET007/SET007+152.ax').
include('Axioms/SET007/SET007+153.ax').
include('Axioms/SET007/SET007+154.ax').
include('Axioms/SET007/SET007+155.ax').
include('Axioms/SET007/SET007+156.ax').
include('Axioms/SET007/SET007+157.ax').
include('Axioms/SET007/SET007+158.ax').
include('Axioms/SET007/SET007+159.ax').
include('Axioms/SET007/SET007+160.ax').
include('Axioms/SET007/SET007+161.ax').
include('Axioms/SET007/SET007+162.ax').
include('Axioms/SET007/SET007+163.ax').
include('Axioms/SET007/SET007+164.ax').
include('Axioms/SET007/SET007+165.ax').
include('Axioms/SET007/SET007+166.ax').
include('Axioms/SET007/SET007+167.ax').
include('Axioms/SET007/SET007+168.ax').
include('Axioms/SET007/SET007+169.ax').
include('Axioms/SET007/SET007+170.ax').
include('Axioms/SET007/SET007+171.ax').
include('Axioms/SET007/SET007+172.ax').
include('Axioms/SET007/SET007+173.ax').
include('Axioms/SET007/SET007+174.ax').
include('Axioms/SET007/SET007+175.ax').
include('Axioms/SET007/SET007+176.ax').
include('Axioms/SET007/SET007+177.ax').
include('Axioms/SET007/SET007+178.ax').
include('Axioms/SET007/SET007+179.ax').
include('Axioms/SET007/SET007+180.ax').
include('Axioms/SET007/SET007+181.ax').
include('Axioms/SET007/SET007+182.ax').
include('Axioms/SET007/SET007+183.ax').
include('Axioms/SET007/SET007+184.ax').
include('Axioms/SET007/SET007+185.ax').
include('Axioms/SET007/SET007+186.ax').
include('Axioms/SET007/SET007+187.ax').
include('Axioms/SET007/SET007+188.ax').
include('Axioms/SET007/SET007+189.ax').
include('Axioms/SET007/SET007+190.ax').
include('Axioms/SET007/SET007+191.ax').
include('Axioms/SET007/SET007+192.ax').
include('Axioms/SET007/SET007+193.ax').
include('Axioms/SET007/SET007+194.ax').
include('Axioms/SET007/SET007+195.ax').
include('Axioms/SET007/SET007+196.ax').
include('Axioms/SET007/SET007+197.ax').
include('Axioms/SET007/SET007+198.ax').
include('Axioms/SET007/SET007+199.ax').
include('Axioms/SET007/SET007+200.ax').
include('Axioms/SET007/SET007+201.ax').
include('Axioms/SET007/SET007+202.ax').
include('Axioms/SET007/SET007+203.ax').
include('Axioms/SET007/SET007+204.ax').
include('Axioms/SET007/SET007+205.ax').
include('Axioms/SET007/SET007+206.ax').
include('Axioms/SET007/SET007+207.ax').
include('Axioms/SET007/SET007+208.ax').
include('Axioms/SET007/SET007+209.ax').
include('Axioms/SET007/SET007+210.ax').
include('Axioms/SET007/SET007+211.ax').
include('Axioms/SET007/SET007+212.ax').
include('Axioms/SET007/SET007+213.ax').
include('Axioms/SET007/SET007+214.ax').
include('Axioms/SET007/SET007+215.ax').
include('Axioms/SET007/SET007+216.ax').
include('Axioms/SET007/SET007+217.ax').
include('Axioms/SET007/SET007+218.ax').
include('Axioms/SET007/SET007+219.ax').
include('Axioms/SET007/SET007+220.ax').
include('Axioms/SET007/SET007+221.ax').
include('Axioms/SET007/SET007+222.ax').
include('Axioms/SET007/SET007+223.ax').
include('Axioms/SET007/SET007+224.ax').
include('Axioms/SET007/SET007+225.ax').
include('Axioms/SET007/SET007+226.ax').
include('Axioms/SET007/SET007+227.ax').
include('Axioms/SET007/SET007+228.ax').
include('Axioms/SET007/SET007+229.ax').
include('Axioms/SET007/SET007+230.ax').
include('Axioms/SET007/SET007+231.ax').
include('Axioms/SET007/SET007+232.ax').
include('Axioms/SET007/SET007+233.ax').
include('Axioms/SET007/SET007+234.ax').
include('Axioms/SET007/SET007+235.ax').
include('Axioms/SET007/SET007+236.ax').
include('Axioms/SET007/SET007+237.ax').
include('Axioms/SET007/SET007+238.ax').
include('Axioms/SET007/SET007+239.ax').
include('Axioms/SET007/SET007+240.ax').
include('Axioms/SET007/SET007+241.ax').
include('Axioms/SET007/SET007+242.ax').
include('Axioms/SET007/SET007+243.ax').
include('Axioms/SET007/SET007+244.ax').
include('Axioms/SET007/SET007+245.ax').
include('Axioms/SET007/SET007+246.ax').
include('Axioms/SET007/SET007+247.ax').
include('Axioms/SET007/SET007+248.ax').
include('Axioms/SET007/SET007+249.ax').
include('Axioms/SET007/SET007+250.ax').
include('Axioms/SET007/SET007+251.ax').
include('Axioms/SET007/SET007+252.ax').
include('Axioms/SET007/SET007+253.ax').
include('Axioms/SET007/SET007+254.ax').
include('Axioms/SET007/SET007+255.ax').
include('Axioms/SET007/SET007+256.ax').
include('Axioms/SET007/SET007+257.ax').
include('Axioms/SET007/SET007+258.ax').
include('Axioms/SET007/SET007+259.ax').
include('Axioms/SET007/SET007+260.ax').
include('Axioms/SET007/SET007+261.ax').
include('Axioms/SET007/SET007+262.ax').
include('Axioms/SET007/SET007+263.ax').
include('Axioms/SET007/SET007+264.ax').
include('Axioms/SET007/SET007+265.ax').
include('Axioms/SET007/SET007+266.ax').
include('Axioms/SET007/SET007+267.ax').
include('Axioms/SET007/SET007+268.ax').
include('Axioms/SET007/SET007+269.ax').
include('Axioms/SET007/SET007+270.ax').
include('Axioms/SET007/SET007+271.ax').
include('Axioms/SET007/SET007+272.ax').
include('Axioms/SET007/SET007+273.ax').
include('Axioms/SET007/SET007+274.ax').
include('Axioms/SET007/SET007+275.ax').
include('Axioms/SET007/SET007+276.ax').
include('Axioms/SET007/SET007+277.ax').
include('Axioms/SET007/SET007+278.ax').
include('Axioms/SET007/SET007+279.ax').
include('Axioms/SET007/SET007+280.ax').
include('Axioms/SET007/SET007+281.ax').
include('Axioms/SET007/SET007+282.ax').
include('Axioms/SET007/SET007+283.ax').
include('Axioms/SET007/SET007+284.ax').
include('Axioms/SET007/SET007+285.ax').
include('Axioms/SET007/SET007+286.ax').
include('Axioms/SET007/SET007+287.ax').
include('Axioms/SET007/SET007+288.ax').
include('Axioms/SET007/SET007+289.ax').
include('Axioms/SET007/SET007+290.ax').
include('Axioms/SET007/SET007+291.ax').
include('Axioms/SET007/SET007+292.ax').
include('Axioms/SET007/SET007+293.ax').
include('Axioms/SET007/SET007+294.ax').
include('Axioms/SET007/SET007+295.ax').
include('Axioms/SET007/SET007+296.ax').
include('Axioms/SET007/SET007+297.ax').
include('Axioms/SET007/SET007+298.ax').
include('Axioms/SET007/SET007+299.ax').
include('Axioms/SET007/SET007+300.ax').
include('Axioms/SET007/SET007+301.ax').
include('Axioms/SET007/SET007+302.ax').
include('Axioms/SET007/SET007+303.ax').
include('Axioms/SET007/SET007+304.ax').
include('Axioms/SET007/SET007+305.ax').
include('Axioms/SET007/SET007+306.ax').
include('Axioms/SET007/SET007+307.ax').
include('Axioms/SET007/SET007+308.ax').
include('Axioms/SET007/SET007+309.ax').
include('Axioms/SET007/SET007+310.ax').
include('Axioms/SET007/SET007+311.ax').
include('Axioms/SET007/SET007+312.ax').
include('Axioms/SET007/SET007+313.ax').
include('Axioms/SET007/SET007+314.ax').
include('Axioms/SET007/SET007+315.ax').
include('Axioms/SET007/SET007+316.ax').
include('Axioms/SET007/SET007+317.ax').
include('Axioms/SET007/SET007+318.ax').
include('Axioms/SET007/SET007+319.ax').
include('Axioms/SET007/SET007+320.ax').
include('Axioms/SET007/SET007+321.ax').
include('Axioms/SET007/SET007+322.ax').
include('Axioms/SET007/SET007+323.ax').
include('Axioms/SET007/SET007+324.ax').
include('Axioms/SET007/SET007+325.ax').
include('Axioms/SET007/SET007+326.ax').
include('Axioms/SET007/SET007+327.ax').
include('Axioms/SET007/SET007+328.ax').
include('Axioms/SET007/SET007+329.ax').
include('Axioms/SET007/SET007+330.ax').
include('Axioms/SET007/SET007+331.ax').
include('Axioms/SET007/SET007+332.ax').
include('Axioms/SET007/SET007+333.ax').
include('Axioms/SET007/SET007+334.ax').
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include('Axioms/SET007/SET007+351.ax').
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include('Axioms/SET007/SET007+353.ax').
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include('Axioms/SET007/SET007+380.ax').
include('Axioms/SET007/SET007+381.ax').
include('Axioms/SET007/SET007+382.ax').
include('Axioms/SET007/SET007+383.ax').
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include('Axioms/SET007/SET007+386.ax').
include('Axioms/SET007/SET007+387.ax').
include('Axioms/SET007/SET007+388.ax').
include('Axioms/SET007/SET007+389.ax').
include('Axioms/SET007/SET007+390.ax').
include('Axioms/SET007/SET007+391.ax').
include('Axioms/SET007/SET007+392.ax').
include('Axioms/SET007/SET007+393.ax').
include('Axioms/SET007/SET007+394.ax').
include('Axioms/SET007/SET007+395.ax').
include('Axioms/SET007/SET007+396.ax').
include('Axioms/SET007/SET007+397.ax').
include('Axioms/SET007/SET007+398.ax').
include('Axioms/SET007/SET007+399.ax').
include('Axioms/SET007/SET007+400.ax').
include('Axioms/SET007/SET007+401.ax').
include('Axioms/SET007/SET007+402.ax').
include('Axioms/SET007/SET007+403.ax').
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include('Axioms/SET007/SET007+406.ax').
include('Axioms/SET007/SET007+407.ax').
include('Axioms/SET007/SET007+408.ax').
include('Axioms/SET007/SET007+409.ax').
include('Axioms/SET007/SET007+410.ax').
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include('Axioms/SET007/SET007+413.ax').
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include('Axioms/SET007/SET007+422.ax').
include('Axioms/SET007/SET007+423.ax').
include('Axioms/SET007/SET007+424.ax').
include('Axioms/SET007/SET007+425.ax').
include('Axioms/SET007/SET007+426.ax').
include('Axioms/SET007/SET007+427.ax').
include('Axioms/SET007/SET007+428.ax').
include('Axioms/SET007/SET007+429.ax').
include('Axioms/SET007/SET007+430.ax').
include('Axioms/SET007/SET007+431.ax').
include('Axioms/SET007/SET007+432.ax').
include('Axioms/SET007/SET007+433.ax').
include('Axioms/SET007/SET007+434.ax').
include('Axioms/SET007/SET007+435.ax').
include('Axioms/SET007/SET007+436.ax').
include('Axioms/SET007/SET007+437.ax').
include('Axioms/SET007/SET007+438.ax').
include('Axioms/SET007/SET007+439.ax').
include('Axioms/SET007/SET007+440.ax').
include('Axioms/SET007/SET007+441.ax').
include('Axioms/SET007/SET007+442.ax').
include('Axioms/SET007/SET007+443.ax').
include('Axioms/SET007/SET007+444.ax').
include('Axioms/SET007/SET007+445.ax').
include('Axioms/SET007/SET007+446.ax').
include('Axioms/SET007/SET007+447.ax').
include('Axioms/SET007/SET007+448.ax').
include('Axioms/SET007/SET007+449.ax').
include('Axioms/SET007/SET007+450.ax').
include('Axioms/SET007/SET007+451.ax').
include('Axioms/SET007/SET007+452.ax').
include('Axioms/SET007/SET007+453.ax').
include('Axioms/SET007/SET007+454.ax').
include('Axioms/SET007/SET007+455.ax').
include('Axioms/SET007/SET007+456.ax').
include('Axioms/SET007/SET007+457.ax').
include('Axioms/SET007/SET007+458.ax').
include('Axioms/SET007/SET007+459.ax').
include('Axioms/SET007/SET007+460.ax').
include('Axioms/SET007/SET007+461.ax').
include('Axioms/SET007/SET007+462.ax').
include('Axioms/SET007/SET007+463.ax').
include('Axioms/SET007/SET007+464.ax').
include('Axioms/SET007/SET007+465.ax').
include('Axioms/SET007/SET007+466.ax').
include('Axioms/SET007/SET007+467.ax').
include('Axioms/SET007/SET007+468.ax').
include('Axioms/SET007/SET007+469.ax').
include('Axioms/SET007/SET007+470.ax').
include('Axioms/SET007/SET007+471.ax').
include('Axioms/SET007/SET007+472.ax').
include('Axioms/SET007/SET007+473.ax').
include('Axioms/SET007/SET007+474.ax').
include('Axioms/SET007/SET007+475.ax').
include('Axioms/SET007/SET007+476.ax').
include('Axioms/SET007/SET007+477.ax').
include('Axioms/SET007/SET007+478.ax').
include('Axioms/SET007/SET007+479.ax').
include('Axioms/SET007/SET007+480.ax').
include('Axioms/SET007/SET007+481.ax').
include('Axioms/SET007/SET007+482.ax').
include('Axioms/SET007/SET007+483.ax').
include('Axioms/SET007/SET007+484.ax').
include('Axioms/SET007/SET007+485.ax').
include('Axioms/SET007/SET007+486.ax').
include('Axioms/SET007/SET007+487.ax').
include('Axioms/SET007/SET007+488.ax').
include('Axioms/SET007/SET007+489.ax').
include('Axioms/SET007/SET007+490.ax').
include('Axioms/SET007/SET007+491.ax').
include('Axioms/SET007/SET007+492.ax').
include('Axioms/SET007/SET007+493.ax').
include('Axioms/SET007/SET007+494.ax').
include('Axioms/SET007/SET007+495.ax').
include('Axioms/SET007/SET007+496.ax').
include('Axioms/SET007/SET007+497.ax').
include('Axioms/SET007/SET007+498.ax').
include('Axioms/SET007/SET007+499.ax').
include('Axioms/SET007/SET007+500.ax').
include('Axioms/SET007/SET007+501.ax').
include('Axioms/SET007/SET007+502.ax').
include('Axioms/SET007/SET007+503.ax').
include('Axioms/SET007/SET007+504.ax').
include('Axioms/SET007/SET007+505.ax').
include('Axioms/SET007/SET007+506.ax').
include('Axioms/SET007/SET007+507.ax').
include('Axioms/SET007/SET007+508.ax').
include('Axioms/SET007/SET007+509.ax').
include('Axioms/SET007/SET007+510.ax').
include('Axioms/SET007/SET007+511.ax').
include('Axioms/SET007/SET007+512.ax').
include('Axioms/SET007/SET007+513.ax').
include('Axioms/SET007/SET007+514.ax').
include('Axioms/SET007/SET007+515.ax').
include('Axioms/SET007/SET007+516.ax').
include('Axioms/SET007/SET007+517.ax').
include('Axioms/SET007/SET007+518.ax').
include('Axioms/SET007/SET007+519.ax').
include('Axioms/SET007/SET007+520.ax').
include('Axioms/SET007/SET007+521.ax').
include('Axioms/SET007/SET007+522.ax').
include('Axioms/SET007/SET007+523.ax').
include('Axioms/SET007/SET007+524.ax').
include('Axioms/SET007/SET007+525.ax').
include('Axioms/SET007/SET007+526.ax').
include('Axioms/SET007/SET007+527.ax').
include('Axioms/SET007/SET007+528.ax').
include('Axioms/SET007/SET007+529.ax').
include('Axioms/SET007/SET007+530.ax').
include('Axioms/SET007/SET007+531.ax').
include('Axioms/SET007/SET007+532.ax').
include('Axioms/SET007/SET007+533.ax').
include('Axioms/SET007/SET007+534.ax').
include('Axioms/SET007/SET007+535.ax').
include('Axioms/SET007/SET007+536.ax').
include('Axioms/SET007/SET007+537.ax').
include('Axioms/SET007/SET007+538.ax').
include('Axioms/SET007/SET007+539.ax').
include('Axioms/SET007/SET007+540.ax').
include('Axioms/SET007/SET007+541.ax').
include('Axioms/SET007/SET007+542.ax').
include('Axioms/SET007/SET007+543.ax').
include('Axioms/SET007/SET007+544.ax').
include('Axioms/SET007/SET007+545.ax').
include('Axioms/SET007/SET007+546.ax').
include('Axioms/SET007/SET007+547.ax').
include('Axioms/SET007/SET007+548.ax').
include('Axioms/SET007/SET007+549.ax').
include('Axioms/SET007/SET007+550.ax').
include('Axioms/SET007/SET007+551.ax').
include('Axioms/SET007/SET007+552.ax').
include('Axioms/SET007/SET007+553.ax').
include('Axioms/SET007/SET007+554.ax').
include('Axioms/SET007/SET007+555.ax').
include('Axioms/SET007/SET007+556.ax').
include('Axioms/SET007/SET007+557.ax').
include('Axioms/SET007/SET007+558.ax').
include('Axioms/SET007/SET007+559.ax').
include('Axioms/SET007/SET007+560.ax').
include('Axioms/SET007/SET007+561.ax').
include('Axioms/SET007/SET007+562.ax').
include('Axioms/SET007/SET007+563.ax').
include('Axioms/SET007/SET007+564.ax').
include('Axioms/SET007/SET007+565.ax').
include('Axioms/SET007/SET007+566.ax').
include('Axioms/SET007/SET007+567.ax').
include('Axioms/SET007/SET007+568.ax').
include('Axioms/SET007/SET007+569.ax').
include('Axioms/SET007/SET007+570.ax').
include('Axioms/SET007/SET007+571.ax').
include('Axioms/SET007/SET007+572.ax').
include('Axioms/SET007/SET007+573.ax').
include('Axioms/SET007/SET007+574.ax').
include('Axioms/SET007/SET007+575.ax').
include('Axioms/SET007/SET007+576.ax').
include('Axioms/SET007/SET007+577.ax').
include('Axioms/SET007/SET007+578.ax').
include('Axioms/SET007/SET007+579.ax').
include('Axioms/SET007/SET007+580.ax').
include('Axioms/SET007/SET007+581.ax').
include('Axioms/SET007/SET007+582.ax').
include('Axioms/SET007/SET007+583.ax').
include('Axioms/SET007/SET007+584.ax').
include('Axioms/SET007/SET007+585.ax').
include('Axioms/SET007/SET007+586.ax').
include('Axioms/SET007/SET007+587.ax').
include('Axioms/SET007/SET007+588.ax').
include('Axioms/SET007/SET007+589.ax').
include('Axioms/SET007/SET007+590.ax').
include('Axioms/SET007/SET007+591.ax').
include('Axioms/SET007/SET007+592.ax').
include('Axioms/SET007/SET007+593.ax').
include('Axioms/SET007/SET007+594.ax').
include('Axioms/SET007/SET007+595.ax').
include('Axioms/SET007/SET007+596.ax').
include('Axioms/SET007/SET007+597.ax').
include('Axioms/SET007/SET007+598.ax').
include('Axioms/SET007/SET007+599.ax').
include('Axioms/SET007/SET007+600.ax').
include('Axioms/SET007/SET007+601.ax').
include('Axioms/SET007/SET007+602.ax').
include('Axioms/SET007/SET007+603.ax').
include('Axioms/SET007/SET007+604.ax').
include('Axioms/SET007/SET007+605.ax').
include('Axioms/SET007/SET007+606.ax').
include('Axioms/SET007/SET007+607.ax').
include('Axioms/SET007/SET007+608.ax').
include('Axioms/SET007/SET007+609.ax').
include('Axioms/SET007/SET007+610.ax').
include('Axioms/SET007/SET007+611.ax').
include('Axioms/SET007/SET007+612.ax').
include('Axioms/SET007/SET007+613.ax').
include('Axioms/SET007/SET007+614.ax').
include('Axioms/SET007/SET007+615.ax').
include('Axioms/SET007/SET007+616.ax').
include('Axioms/SET007/SET007+617.ax').
include('Axioms/SET007/SET007+618.ax').
include('Axioms/SET007/SET007+619.ax').
%------------------------------------------------------------------------------
fof(fraenkel_a_2_0_conlat_2,axiom,
! [A,B,C] :
( ( ~ v3_conlat_1(B)
& l2_conlat_1(B)
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_conlat_1(B)))) )
=> ( r2_hidden(A,a_2_0_conlat_2(B,C))
<=> ? [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_conlat_1(B)))
& A = k8_funct_2(k1_zfmisc_1(u1_conlat_1(B)),k1_zfmisc_1(u2_conlat_1(B)),k1_conlat_1(B),D)
& r2_hidden(D,C) ) ) ) ).
fof(fraenkel_a_2_10_conlat_2,axiom,
! [A,B,C] :
( ( ~ v3_conlat_1(B)
& l2_conlat_1(B)
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k11_conlat_1(B)))) )
=> ( r2_hidden(A,a_2_10_conlat_2(B,C))
<=> ? [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_conlat_1(B)))
& A = k8_funct_2(k1_zfmisc_1(u1_conlat_1(B)),k1_zfmisc_1(u2_conlat_1(B)),k1_conlat_1(B),D)
& r2_hidden(D,a_2_2_conlat_2(B,C)) ) ) ) ).
fof(fraenkel_a_2_2_conlat_2,axiom,
! [A,B,C] :
( ( ~ v3_conlat_1(B)
& l2_conlat_1(B)
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k11_conlat_1(B)))) )
=> ( r2_hidden(A,a_2_2_conlat_2(B,C))
<=> ? [D,E] :
( m1_subset_1(D,k1_zfmisc_1(u1_conlat_1(B)))
& m1_subset_1(E,k1_zfmisc_1(u2_conlat_1(B)))
& A = u4_conlat_1(B,g3_conlat_1(B,D,E))
& r2_hidden(g3_conlat_1(B,D,E),C) ) ) ) ).
fof(fraenkel_a_2_3_conlat_2,axiom,
! [A,B,C] :
( ( ~ v3_conlat_1(B)
& l2_conlat_1(B)
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k11_conlat_1(B)))) )
=> ( r2_hidden(A,a_2_3_conlat_2(B,C))
<=> ? [D,E] :
( m1_subset_1(D,k1_zfmisc_1(u1_conlat_1(B)))
& m1_subset_1(E,k1_zfmisc_1(u2_conlat_1(B)))
& A = u5_conlat_1(B,g3_conlat_1(B,D,E))
& r2_hidden(g3_conlat_1(B,D,E),C) ) ) ) ).
fof(dt_k1_conlat_2,axiom,
! [A,B] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A)
& v6_conlat_1(B,A)
& ~ v7_conlat_1(B,A)
& v9_conlat_1(B,A)
& l3_conlat_1(B,A) )
=> m1_subset_1(k1_conlat_2(A,B),u1_struct_0(k11_conlat_1(A))) ) ).
fof(dt_k2_conlat_2,axiom,
! [A,B] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) )
=> ( ~ v7_conlat_1(k2_conlat_2(A,B),A)
& v9_conlat_1(k2_conlat_2(A,B),A)
& l3_conlat_1(k2_conlat_2(A,B),A) ) ) ).
fof(dt_k3_conlat_2,axiom,
! [A,B] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) )
=> ( ~ v7_conlat_1(k3_conlat_2(A,B),A)
& v9_conlat_1(k3_conlat_2(A,B),A)
& l3_conlat_1(k3_conlat_2(A,B),A) ) ) ).
fof(dt_k4_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( v1_funct_1(k4_conlat_2(A))
& v1_funct_2(k4_conlat_2(A),u1_conlat_1(A),u1_struct_0(k11_conlat_1(A)))
& m2_relset_1(k4_conlat_2(A),u1_conlat_1(A),u1_struct_0(k11_conlat_1(A))) ) ) ).
fof(dt_k5_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( v1_funct_1(k5_conlat_2(A))
& v1_funct_2(k5_conlat_2(A),u2_conlat_1(A),u1_struct_0(k11_conlat_1(A)))
& m2_relset_1(k5_conlat_2(A),u2_conlat_1(A),u1_struct_0(k11_conlat_1(A))) ) ) ).
fof(dt_k6_conlat_2,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ~ v3_conlat_1(k6_conlat_2(A))
& v4_conlat_1(k6_conlat_2(A))
& l2_conlat_1(k6_conlat_2(A)) ) ) ).
fof(dt_k7_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( ~ v3_conlat_1(k7_conlat_2(A))
& v4_conlat_1(k7_conlat_2(A))
& l2_conlat_1(k7_conlat_2(A)) ) ) ).
fof(dt_k8_conlat_2,axiom,
! [A,B] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A)
& l3_conlat_1(B,A) )
=> ( v6_conlat_1(k8_conlat_2(A,B),k7_conlat_2(A))
& l3_conlat_1(k8_conlat_2(A,B),k7_conlat_2(A)) ) ) ).
fof(dt_k9_conlat_2,axiom,
! [A,B] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A)
& ~ v7_conlat_1(B,A)
& v9_conlat_1(B,A)
& l3_conlat_1(B,A) )
=> ( v6_conlat_1(k9_conlat_2(A,B),k7_conlat_2(A))
& ~ v7_conlat_1(k9_conlat_2(A,B),k7_conlat_2(A))
& v9_conlat_1(k9_conlat_2(A,B),k7_conlat_2(A))
& l3_conlat_1(k9_conlat_2(A,B),k7_conlat_2(A)) ) ) ).
fof(redefinition_k9_conlat_2,axiom,
! [A,B] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A)
& ~ v7_conlat_1(B,A)
& v9_conlat_1(B,A)
& l3_conlat_1(B,A) )
=> k9_conlat_2(A,B) = k8_conlat_2(A,B) ) ).
fof(dt_k10_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> m1_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) ) ).
fof(d1_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ! [B] :
( ( v6_conlat_1(B,A)
& ~ v7_conlat_1(B,A)
& v9_conlat_1(B,A)
& l3_conlat_1(B,A) )
=> k1_conlat_2(A,B) = B ) ) ).
fof(fc1_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( ~ v3_struct_0(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& v4_lattices(k11_conlat_1(A))
& v5_lattices(k11_conlat_1(A))
& v6_lattices(k11_conlat_1(A))
& v7_lattices(k11_conlat_1(A))
& v8_lattices(k11_conlat_1(A))
& v9_lattices(k11_conlat_1(A))
& v10_lattices(k11_conlat_1(A))
& v13_lattices(k11_conlat_1(A))
& v14_lattices(k11_conlat_1(A))
& v15_lattices(k11_conlat_1(A))
& v4_lattice3(k11_conlat_1(A)) ) ) ).
fof(t1_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( k5_lattices(k11_conlat_1(A)) = k6_conlat_1(A)
& k6_lattices(k11_conlat_1(A)) = k5_conlat_1(A) ) ) ).
fof(t2_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ! [B] :
( ( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_conlat_1(A)))) )
=> k8_funct_2(k1_zfmisc_1(u1_conlat_1(A)),k1_zfmisc_1(u2_conlat_1(A)),k1_conlat_1(A),k5_setfam_1(u1_conlat_1(A),B)) = k1_setfam_1(a_2_0_conlat_2(A,B)) ) ) ).
fof(t3_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ! [B] :
( ( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u2_conlat_1(A)))) )
=> k8_funct_2(k1_zfmisc_1(u2_conlat_1(A)),k1_zfmisc_1(u1_conlat_1(A)),k2_conlat_1(A),k5_setfam_1(u2_conlat_1(A),B)) = k1_setfam_1(a_2_1_conlat_2(A,B)) ) ) ).
fof(t4_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A))))
=> ( ~ v7_conlat_1(k16_lattice3(k11_conlat_1(A),B),A)
& v9_conlat_1(k16_lattice3(k11_conlat_1(A),B),A)
& l3_conlat_1(k16_lattice3(k11_conlat_1(A),B),A)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(A),B),A)
& v9_conlat_1(k15_lattice3(k11_conlat_1(A),B),A)
& l3_conlat_1(k15_lattice3(k11_conlat_1(A),B),A) ) ) ) ).
fof(d2_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A))))
=> k2_conlat_2(A,B) = k16_lattice3(k11_conlat_1(A),B) ) ) ).
fof(d3_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A))))
=> k3_conlat_2(A,B) = k15_lattice3(k11_conlat_1(A),B) ) ) ).
fof(t5_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( k3_conlat_2(A,k1_pre_topc(k11_conlat_1(A))) = k6_conlat_1(A)
& k2_conlat_2(A,k1_pre_topc(k11_conlat_1(A))) = k5_conlat_1(A) ) ) ).
fof(t6_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( k3_conlat_2(A,k2_subset_1(u1_struct_0(k11_conlat_1(A)))) = k5_conlat_1(A)
& k2_conlat_2(A,k2_subset_1(u1_struct_0(k11_conlat_1(A)))) = k6_conlat_1(A) ) ) ).
fof(t7_conlat_2,conjecture,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ! [B] :
( ( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k11_conlat_1(A)))) )
=> ( u4_conlat_1(A,k3_conlat_2(A,B)) = k1_funct_1(k2_conlat_1(A),k1_funct_1(k1_conlat_1(A),k3_tarski(a_2_2_conlat_2(A,B))))
& u5_conlat_1(A,k3_conlat_2(A,B)) = k1_setfam_1(a_2_3_conlat_2(A,B)) ) ) ) ).
%------------------------------------------------------------------------------