%   ORIGINAL: h4/integer__word/INT__BOUND__ORDER_c2
% 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/integer/INT__LT__CALCULATE_c0: !n m. h4/integer/int__lt (h4/integer/int__of__num n) (h4/integer/int__of__num m) <=> h4/prim__rec/_3C n m
% Assm: h4/words/BOUND__ORDER_c2: h4/prim__rec/_3C (h4/words/UINT__MAX h4/bool/the__value) (h4/words/dimword h4/bool/the__value)
% Assm: h4/integer__word/UINT__MAX0: h4/integer__word/UINT__MAX h4/bool/the__value = h4/integer/int__of__num (h4/words/UINT__MAX h4/bool/the__value)
% Goal: h4/integer/int__lt (h4/integer__word/UINT__MAX h4/bool/the__value) (h4/integer/int__of__num (h4/words/dimword h4/bool/the__value))
%   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_integers_INTu_u_LTu_u_CALCULATEu_c0]: !n m. h4/integer/int__lt (h4/integer/int__of__num n) (h4/integer/int__of__num m) <=> h4/prim__rec/_3C n m
% Assm [h4s_wordss_BOUNDu_u_ORDERu_c2]: h4/prim__rec/_3C (h4/words/UINT__MAX h4/bool/the__value) (h4/words/dimword h4/bool/the__value)
% Assm [h4s_integeru_u_words_UINTu_u_MAX0]: h4/integer__word/UINT__MAX h4/bool/the__value = h4/integer/int__of__num (h4/words/UINT__MAX h4/bool/the__value)
% Goal: h4/integer/int__lt (h4/integer__word/UINT__MAX h4/bool/the__value) (h4/integer/int__of__num (h4/words/dimword h4/bool/the__value))
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_Q298340,TV_Q298336]: ![V_f, V_g]: (![V_x]: s(TV_Q298336,happ(s(t_fun(TV_Q298340,TV_Q298336),V_f),s(TV_Q298340,V_x))) = s(TV_Q298336,happ(s(t_fun(TV_Q298340,TV_Q298336),V_g),s(TV_Q298340,V_x))) => s(t_fun(TV_Q298340,TV_Q298336),V_f) = s(t_fun(TV_Q298340,TV_Q298336),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_integers_INTu_u_LTu_u_CALCULATEu_c0, axiom, ![V_n, V_m]: s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,V_n))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,V_m))))) = s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,V_n),s(t_h4s_nums_num,V_m)))).
fof(ah4s_wordss_BOUNDu_u_ORDERu_c2, axiom, ![TV_u_27a]: p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_wordss_uintu_u_max(s(t_h4s_bools_itself(TV_u_27a),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(TV_u_27a),h4s_bools_theu_u_value))))))).
fof(ah4s_integeru_u_words_UINTu_u_MAX0, axiom, ![TV_u_27a]: s(t_h4s_integers_int,h4s_integeru_u_words_uintu_u_max(s(t_h4s_bools_itself(TV_u_27a),h4s_bools_theu_u_value))) = s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_uintu_u_max(s(t_h4s_bools_itself(TV_u_27a),h4s_bools_theu_u_value)))))).
fof(ch4s_integeru_u_words_INTu_u_BOUNDu_u_ORDERu_c2, conjecture, ![TV_u_27a]: p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integeru_u_words_uintu_u_max(s(t_h4s_bools_itself(TV_u_27a),h4s_bools_theu_u_value))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(TV_u_27a),h4s_bools_theu_u_value))))))))).
