TPTP Problem File: TOP043+4.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : TOP043+4 : TPTP v8.2.0. Released v3.4.0.
% Domain : Topology
% Problem : The Tichonov Theorem T24
% Version : [Urb08] axioms : Especial.
% English :
% Refs : [Sko01] Skorulski (2001), The Tichonov Theorem
% : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% : [Urb08] Urban (2006), Email to G. Sutcliffe
% Source : [Urb08]
% Names : t24_yellow17 [Urb08]
% Status : Theorem
% Rating : 1.00 v3.4.0
% Syntax : Number of formulae : 52366 (6809 unt; 0 def)
% Number of atoms : 399087 (44992 equ)
% Maximal formula atoms : 208 ( 7 avg)
% Number of connectives : 401680 (54959 ~;4891 |;199408 &)
% (8672 <=>;133750 =>; 0 <=; 0 <~>)
% Maximal formula depth : 150 ( 9 avg)
% Maximal term depth : 16 ( 1 avg)
% Number of predicates : 2684 (2682 usr; 3 prp; 0-8 aty)
% Number of functors : 7094 (7094 usr;1475 con; 0-10 aty)
% Number of variables : 149260 (142257 !;7003 ?)
% SPC : FOF_THM_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.
%------------------------------------------------------------------------------
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').
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include('Axioms/SET007/SET007+331.ax').
include('Axioms/SET007/SET007+332.ax').
include('Axioms/SET007/SET007+333.ax').
include('Axioms/SET007/SET007+334.ax').
include('Axioms/SET007/SET007+335.ax').
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include('Axioms/SET007/SET007+354.ax').
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include('Axioms/SET007/SET007+377.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').
include('Axioms/SET007/SET007+384.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').
include('Axioms/SET007/SET007+404.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').
include('Axioms/SET007/SET007+411.ax').
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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').
include('Axioms/SET007/SET007+620.ax').
include('Axioms/SET007/SET007+621.ax').
include('Axioms/SET007/SET007+622.ax').
include('Axioms/SET007/SET007+623.ax').
include('Axioms/SET007/SET007+624.ax').
include('Axioms/SET007/SET007+625.ax').
include('Axioms/SET007/SET007+626.ax').
include('Axioms/SET007/SET007+627.ax').
include('Axioms/SET007/SET007+628.ax').
include('Axioms/SET007/SET007+629.ax').
include('Axioms/SET007/SET007+630.ax').
include('Axioms/SET007/SET007+631.ax').
include('Axioms/SET007/SET007+632.ax').
include('Axioms/SET007/SET007+633.ax').
include('Axioms/SET007/SET007+634.ax').
include('Axioms/SET007/SET007+635.ax').
include('Axioms/SET007/SET007+636.ax').
include('Axioms/SET007/SET007+637.ax').
include('Axioms/SET007/SET007+638.ax').
include('Axioms/SET007/SET007+639.ax').
include('Axioms/SET007/SET007+640.ax').
include('Axioms/SET007/SET007+641.ax').
include('Axioms/SET007/SET007+642.ax').
include('Axioms/SET007/SET007+643.ax').
include('Axioms/SET007/SET007+644.ax').
include('Axioms/SET007/SET007+645.ax').
include('Axioms/SET007/SET007+646.ax').
include('Axioms/SET007/SET007+647.ax').
include('Axioms/SET007/SET007+648.ax').
include('Axioms/SET007/SET007+649.ax').
include('Axioms/SET007/SET007+650.ax').
include('Axioms/SET007/SET007+651.ax').
include('Axioms/SET007/SET007+652.ax').
include('Axioms/SET007/SET007+653.ax').
%------------------------------------------------------------------------------
fof(s1_yellow17__e8_25__yellow17,axiom,
! [A,B,C,D] :
( ( ~ v1_xboole_0(A)
& v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A)
& m2_cantor_1(C,k3_waybel18(A,B))
& m1_subset_1(D,k1_zfmisc_1(C)) )
=> ( ! [E] :
( m1_subset_1(E,A)
=> ? [F] :
( m1_subset_1(F,u1_struct_0(k4_waybel18(A,B,E)))
& ! [G] :
( ( v1_finset_1(G)
& m1_subset_1(G,k1_zfmisc_1(D)) )
=> ~ r1_tarski(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,E),k6_waybel18(A,B,E),k1_tarski(F)),k3_tarski(G)) ) ) )
=> ? [E] :
( m1_subset_1(E,u1_struct_0(k3_waybel18(A,B)))
& ! [F] :
( m1_subset_1(F,A)
=> ! [H] :
( ( v1_finset_1(H)
& m1_subset_1(H,k1_zfmisc_1(D)) )
=> ~ r1_tarski(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,F),k6_waybel18(A,B,F),k1_tarski(k5_waybel18(A,B,E,F))),k3_tarski(H)) ) ) ) ) ) ).
fof(t1_yellow17,axiom,
! [A] :
( ( v1_relat_1(A)
& v1_funct_1(A) )
=> ! [B,C,D] :
( m1_subset_1(D,k1_zfmisc_1(k1_funct_1(A,B)))
=> ( ~ r1_xboole_0(k10_relat_1(k3_pralg_3(A,B),k1_tarski(C)),k10_relat_1(k3_pralg_3(A,B),D))
=> r2_hidden(C,D) ) ) ) ).
fof(t2_yellow17,axiom,
! [A] :
( ( v1_relat_1(A)
& v1_funct_1(A) )
=> ! [B] :
( ( v1_relat_1(B)
& v1_funct_1(B) )
=> ! [C,D] :
( ( r2_hidden(D,k1_funct_1(A,C))
& r2_hidden(B,k4_card_3(A)) )
=> r2_hidden(k2_funct_7(B,C,D),k4_card_3(A)) ) ) ) ).
fof(t3_yellow17,axiom,
! [A] :
( ( v1_relat_1(A)
& v1_funct_1(A) )
=> ! [B] :
( r2_hidden(B,k1_relat_1(A))
=> ( k4_card_3(A) = k1_xboole_0
| k2_relat_1(k3_pralg_3(A,B)) = k1_funct_1(A,B) ) ) ) ).
fof(t4_yellow17,axiom,
! [A] :
( ( v1_relat_1(A)
& v1_funct_1(A) )
=> ! [B] :
( r2_hidden(B,k1_relat_1(A))
=> k10_relat_1(k3_pralg_3(A,B),k1_funct_1(A,B)) = k4_card_3(A) ) ) ).
fof(t5_yellow17,axiom,
! [A] :
( ( v1_relat_1(A)
& v1_funct_1(A) )
=> ! [B] :
( ( v1_relat_1(B)
& v1_funct_1(B) )
=> ! [C,D] :
( ( r2_hidden(D,k1_funct_1(A,C))
& r2_hidden(C,k1_relat_1(A))
& r2_hidden(B,k4_card_3(A)) )
=> r2_hidden(k2_funct_7(B,C,D),k10_relat_1(k3_pralg_3(A,C),k1_tarski(D))) ) ) ) ).
fof(l6_yellow17,axiom,
! [A] :
( ( v1_relat_1(A)
& v1_funct_1(A) )
=> ! [B] :
( ( v1_relat_1(B)
& v1_funct_1(B) )
=> ! [C,D,E,F] :
( m1_subset_1(F,k1_zfmisc_1(k1_funct_1(A,D)))
=> ( ( r2_hidden(B,k4_card_3(A))
& r2_hidden(k2_funct_7(B,C,E),k10_relat_1(k3_pralg_3(A,D),F)) )
=> ( C = D
| r2_hidden(B,k10_relat_1(k3_pralg_3(A,D),F)) ) ) ) ) ) ).
fof(t6_yellow17,axiom,
! [A] :
( ( v1_relat_1(A)
& v1_funct_1(A) )
=> ! [B] :
( ( v1_relat_1(B)
& v1_funct_1(B) )
=> ! [C,D,E,F] :
( m1_subset_1(F,k1_zfmisc_1(k1_funct_1(A,D)))
=> ( ( r2_hidden(E,k1_funct_1(A,C))
& r2_hidden(C,k1_relat_1(A))
& r2_hidden(B,k4_card_3(A)) )
=> ( C = D
| ( r2_hidden(B,k10_relat_1(k3_pralg_3(A,D),F))
<=> r2_hidden(k2_funct_7(B,C,E),k10_relat_1(k3_pralg_3(A,D),F)) ) ) ) ) ) ) ).
fof(t7_yellow17,axiom,
! [A] :
( ( v1_relat_1(A)
& v1_funct_1(A) )
=> ! [B,C,D,E] :
( m1_subset_1(E,k1_zfmisc_1(k1_funct_1(A,C)))
=> ( ( r2_hidden(D,k1_funct_1(A,B))
& r2_hidden(B,k1_relat_1(A))
& r2_hidden(C,k1_relat_1(A)) )
=> ( k4_card_3(A) = k1_xboole_0
| E = k1_funct_1(A,C)
| ( r1_tarski(k10_relat_1(k3_pralg_3(A,B),k1_tarski(D)),k10_relat_1(k3_pralg_3(A,C),E))
<=> ( B = C
& r2_hidden(D,E) ) ) ) ) ) ) ).
fof(s1_yellow17,axiom,
( ! [A] :
( m1_subset_1(A,f1_s1_yellow17)
=> ? [B] :
( m1_subset_1(B,u1_struct_0(k4_waybel18(f1_s1_yellow17,f2_s1_yellow17,A)))
& p1_s1_yellow17(B,A) ) )
=> ? [A] :
( m1_subset_1(A,u1_struct_0(k3_waybel18(f1_s1_yellow17,f2_s1_yellow17)))
& ! [B] :
( m1_subset_1(B,f1_s1_yellow17)
=> p1_s1_yellow17(k5_waybel18(f1_s1_yellow17,f2_s1_yellow17,A,B),B) ) ) ) ).
fof(dt_f1_s1_yellow17,axiom,
~ v1_xboole_0(f1_s1_yellow17) ).
fof(dt_f2_s1_yellow17,axiom,
( v4_waybel_3(f2_s1_yellow17)
& v1_waybel18(f2_s1_yellow17)
& m1_pboole(f2_s1_yellow17,f1_s1_yellow17) ) ).
fof(t8_yellow17,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k3_waybel18(A,B)))
=> k1_funct_1(k6_waybel18(A,B,C),D) = k5_waybel18(A,B,D,C) ) ) ) ) ).
fof(t9_yellow17,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k4_waybel18(A,B,C)))
=> ! [E] :
( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C))))
=> ( ~ r1_xboole_0(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),k1_struct_0(k4_waybel18(A,B,C),D)),k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),E))
=> r2_hidden(D,E) ) ) ) ) ) ) ).
fof(t10_yellow17,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ! [C] :
( m1_subset_1(C,A)
=> k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),k2_pre_topc(k4_waybel18(A,B,C))) = k2_pre_topc(k3_waybel18(A,B)) ) ) ) ).
fof(t11_yellow17,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k4_waybel18(A,B,C)))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(k3_waybel18(A,B)))
=> r2_hidden(k2_funct_7(E,C,D),k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),k1_struct_0(k4_waybel18(A,B,C),D))) ) ) ) ) ) ).
fof(t12_yellow17,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(k4_waybel18(A,B,C)))
=> ! [F] :
( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,D))))
=> ( F != k2_pre_topc(k4_waybel18(A,B,D))
=> ( r1_tarski(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),k1_struct_0(k4_waybel18(A,B,C),E)),k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,D),k6_waybel18(A,B,D),F))
<=> ( C = D
& r2_hidden(E,F) ) ) ) ) ) ) ) ) ) ).
fof(t13_yellow17,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(k4_waybel18(A,B,C)))
=> ! [F] :
( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,D))))
=> ! [G] :
( m1_subset_1(G,u1_struct_0(k3_waybel18(A,B)))
=> ( C != D
=> ( r2_hidden(G,k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,D),k6_waybel18(A,B,D),F))
<=> r2_hidden(k2_funct_7(G,C,E),k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,D),k6_waybel18(A,B,D),F)) ) ) ) ) ) ) ) ) ) ).
fof(t14_yellow17,axiom,
$true ).
fof(t15_yellow17,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_pre_topc(A) )
=> ( v2_compts_1(A)
<=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
=> ~ ( v1_tops_2(B,A)
& r1_tarski(k2_pre_topc(A),k3_tarski(B))
& ! [C] :
( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
=> ~ ( r1_tarski(C,B)
& r1_tarski(k2_pre_topc(A),k3_tarski(C))
& v1_finset_1(C) ) ) ) ) ) ) ).
fof(t16_yellow17,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( m2_cantor_1(B,A)
=> ( v2_compts_1(A)
<=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(B))
=> ~ ( r1_tarski(k2_pre_topc(A),k3_tarski(C))
& ! [D] :
( ( v1_finset_1(D)
& m1_subset_1(D,k1_zfmisc_1(C)) )
=> ~ r1_tarski(k2_pre_topc(A),k3_tarski(D)) ) ) ) ) ) ) ).
fof(t17_yellow17,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ! [C] :
~ ( r2_hidden(C,k2_waybel18(A,B))
& ! [D] :
( m1_subset_1(D,A)
=> ! [E] :
( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,D))))
=> ~ ( v3_pre_topc(E,k4_waybel18(A,B,D))
& k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,D),k6_waybel18(A,B,D),E) = C ) ) ) ) ) ) ).
fof(t18_yellow17,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k4_waybel18(A,B,C)))
=> ! [E] :
~ ( r2_hidden(E,k2_waybel18(A,B))
& r1_tarski(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),k1_struct_0(k4_waybel18(A,B,C),D)),E)
& E != k2_pre_topc(k3_waybel18(A,B))
& ! [F] :
( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C))))
=> ~ ( F != k2_pre_topc(k4_waybel18(A,B,C))
& r2_hidden(D,F)
& v3_pre_topc(F,k4_waybel18(A,B,C))
& E = k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),F) ) ) ) ) ) ) ) ).
fof(t19_yellow17,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( ( ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C))))) )
=> ( r1_tarski(k2_pre_topc(k4_waybel18(A,B,C)),k3_tarski(D))
=> r1_tarski(k2_pre_topc(k3_waybel18(A,B)),k3_tarski(a_4_0_yellow17(A,B,C,D))) ) ) ) ) ) ).
fof(t20_yellow17,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k4_waybel18(A,B,C)))
=> ! [E] :
( m1_subset_1(E,k1_zfmisc_1(k2_waybel18(A,B)))
=> ( ( r1_tarski(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),k1_struct_0(k4_waybel18(A,B,C),D)),k3_tarski(E))
& ! [F] :
~ ( r2_hidden(F,k2_waybel18(A,B))
& r2_hidden(F,E)
& r1_tarski(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),k1_struct_0(k4_waybel18(A,B,C),D)),F) ) )
=> r1_tarski(k2_pre_topc(k3_waybel18(A,B)),k3_tarski(E)) ) ) ) ) ) ) ).
fof(t21_yellow17,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(k2_waybel18(A,B)))
=> ( ! [E] :
( ( v1_finset_1(E)
& m1_subset_1(E,k1_zfmisc_1(D)) )
=> ~ r1_tarski(k2_pre_topc(k3_waybel18(A,B)),k3_tarski(E)) )
=> ! [E] :
( m1_subset_1(E,u1_struct_0(k4_waybel18(A,B,C)))
=> ! [F] :
( ( v1_finset_1(F)
& m1_subset_1(F,k1_zfmisc_1(D)) )
=> ~ ( r1_tarski(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),k1_struct_0(k4_waybel18(A,B,C),E)),k3_tarski(F))
& ! [G] :
~ ( r2_hidden(G,k2_waybel18(A,B))
& r2_hidden(G,F)
& r1_tarski(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),k1_struct_0(k4_waybel18(A,B,C),E)),G) ) ) ) ) ) ) ) ) ) ).
fof(t22_yellow17,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(k2_waybel18(A,B)))
=> ( ! [E] :
( ( v1_finset_1(E)
& m1_subset_1(E,k1_zfmisc_1(D)) )
=> ~ r1_tarski(k2_pre_topc(k3_waybel18(A,B)),k3_tarski(E)) )
=> ! [E] :
( m1_subset_1(E,u1_struct_0(k4_waybel18(A,B,C)))
=> ! [F] :
( ( v1_finset_1(F)
& m1_subset_1(F,k1_zfmisc_1(D)) )
=> ~ ( r1_tarski(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),k1_struct_0(k4_waybel18(A,B,C),E)),k3_tarski(F))
& ! [G] :
( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C))))
=> ~ ( G != k2_pre_topc(k4_waybel18(A,B,C))
& r2_hidden(E,G)
& r2_hidden(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),G),F)
& v3_pre_topc(G,k4_waybel18(A,B,C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t23_yellow17,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(k2_waybel18(A,B)))
=> ~ ( ! [E] :
( m1_subset_1(E,A)
=> v2_compts_1(k4_waybel18(A,B,E)) )
& ! [E] :
( ( v1_finset_1(E)
& m1_subset_1(E,k1_zfmisc_1(D)) )
=> ~ r1_tarski(k2_pre_topc(k3_waybel18(A,B)),k3_tarski(E)) )
& ! [E] :
( m1_subset_1(E,u1_struct_0(k4_waybel18(A,B,C)))
=> ? [F] :
( v1_finset_1(F)
& m1_subset_1(F,k1_zfmisc_1(D))
& r1_tarski(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),k1_struct_0(k4_waybel18(A,B,C),E)),k3_tarski(F)) ) ) ) ) ) ) ) ).
fof(t24_yellow17,conjecture,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v4_waybel_3(B)
& v1_waybel18(B)
& m1_pboole(B,A) )
=> ( ! [C] :
( m1_subset_1(C,A)
=> v2_compts_1(k4_waybel18(A,B,C)) )
=> v2_compts_1(k3_waybel18(A,B)) ) ) ) ).
%------------------------------------------------------------------------------