%   ORIGINAL: h4/HolSmt/p005
% Assm: HL_TRUTH: T
% Assm: HL_FALSITY: ~F
% Assm: HL_BOOL_CASES: !t. (t <=> T) \/ (t <=> F)
% Assm: HL_EXT: !f g. (!x. f x = g x) ==> f = g
% Assm: h4/bool/TRUTH: T
% Assm: h4/bool/EQ__CLAUSES_c1: !t. (t <=> T) <=> t
% Assm: h4/words/finite__16: h4/pred__set/FINITE h4/pred__set/UNIV
% Goal: h4/pred__set/FINITE h4/pred__set/UNIV
%   PROCESSED
% Assm [HLu_TRUTH]: T
% Assm [HLu_FALSITY]: ~F
% Assm [HLu_BOOLu_CASES]: !t. (t <=> T) \/ (t <=> F)
% Assm [HLu_EXT]: !f g. (!x. happ f x = happ g x) ==> f = g
% Assm [h4s_bools_TRUTH]: T
% Assm [h4s_bools_EQu_u_CLAUSESu_c1]: !t. (t <=> T) <=> t
% Assm [h4s_wordss_finiteu_u_16]: h4/pred__set/FINITE h4/pred__set/UNIV
% Goal: h4/pred__set/FINITE h4/pred__set/UNIV
fof(aHLu_TRUTH, axiom, p(s(t_bool,t))).
fof(aHLu_FALSITY, axiom, ~ (p(s(t_bool,f)))).
fof(aHLu_BOOLu_CASES, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t) | s(t_bool,V_t) = s(t_bool,f))).
fof(aHLu_EXT, axiom, ![TV_Q343148,TV_Q343144]: ![V_f, V_g]: (![V_x]: s(TV_Q343144,happ(s(t_fun(TV_Q343148,TV_Q343144),V_f),s(TV_Q343148,V_x))) = s(TV_Q343144,happ(s(t_fun(TV_Q343148,TV_Q343144),V_g),s(TV_Q343148,V_x))) => s(t_fun(TV_Q343148,TV_Q343144),V_f) = s(t_fun(TV_Q343148,TV_Q343144),V_g))).
fof(ah4s_bools_TRUTH, axiom, p(s(t_bool,t))).
fof(ah4s_bools_EQu_u_CLAUSESu_c1, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t) <=> p(s(t_bool,V_t)))).
fof(ah4s_wordss_finiteu_u_16, axiom, p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one)))),t_bool),h4s_predu_u_sets_univ))))).
fof(ch4s_HolSmts_p005, conjecture, p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one)))),t_bool),h4s_predu_u_sets_univ))))).
