%   ORIGINAL: h4/relation/RTC__REFL
% 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/relation/RTC__RULES_c0: !x R. h4/relation/RTC R x x
% Goal: !x R. h4/relation/RTC R x x
%   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_relations_RTCu_u_RULESu_c0]: !x R. h4/relation/RTC R x x
% Goal: !x R. h4/relation/RTC R x x
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_Q261407,TV_Q261403]: ![V_f, V_g]: (![V_x]: s(TV_Q261403,happ(s(t_fun(TV_Q261407,TV_Q261403),V_f),s(TV_Q261407,V_x))) = s(TV_Q261403,happ(s(t_fun(TV_Q261407,TV_Q261403),V_g),s(TV_Q261407,V_x))) => s(t_fun(TV_Q261407,TV_Q261403),V_f) = s(t_fun(TV_Q261407,TV_Q261403),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_relations_RTCu_u_RULESu_c0, axiom, ![TV_u_27a]: ![V_x, V_R]: p(s(t_bool,h4s_relations_rtc(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_bool)),V_R),s(TV_u_27a,V_x),s(TV_u_27a,V_x))))).
fof(ch4s_relations_RTCu_u_REFL, conjecture, ![TV_u_27a]: ![V_x, V_R]: p(s(t_bool,h4s_relations_rtc(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_bool)),V_R),s(TV_u_27a,V_x),s(TV_u_27a,V_x))))).
