%   ORIGINAL: h4/bool/NOT__AND
% 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
% Goal: !t. ~(t /\ ~t)
%   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
% Goal: !t. ~(t /\ ~t)
fof(aHLu_TRUTH, axiom, p(s(t_bool,t0))).
fof(aHLu_FALSITY, axiom, ~ (p(s(t_bool,f)))).
fof(aHLu_BOOLu_CASES, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t0) | s(t_bool,V_t) = s(t_bool,f))).
fof(aHLu_EXT, axiom, ![TV_Q290614,TV_Q290610]: ![V_f, V_g]: (![V_x]: s(TV_Q290610,happ(s(t_fun(TV_Q290614,TV_Q290610),V_f),s(TV_Q290614,V_x))) = s(TV_Q290610,happ(s(t_fun(TV_Q290614,TV_Q290610),V_g),s(TV_Q290614,V_x))) => s(t_fun(TV_Q290614,TV_Q290610),V_f) = s(t_fun(TV_Q290614,TV_Q290610),V_g))).
fof(ch4s_bools_NOTu_u_AND, conjecture, ![V_t]: ~ ((p(s(t_bool,V_t)) & ~ (p(s(t_bool,V_t)))))).
