%   ORIGINAL: h4/machine__ieee/fp64__mul__add__n2w
% 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: !mode c b a. h4/machine__ieee/fp64__mul__add mode (h4/words/n2w a) (h4/words/n2w b) (h4/words/n2w c) = h4/machine__ieee/float__to__fp64 (h4/binary__ieee/float__mul__add mode (h4/machine__ieee/fp64__to__float (h4/words/n2w a)) (h4/machine__ieee/fp64__to__float (h4/words/n2w b)) (h4/machine__ieee/fp64__to__float (h4/words/n2w c)))
%   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: !mode c b a. h4/machine__ieee/fp64__mul__add mode (h4/words/n2w a) (h4/words/n2w b) (h4/words/n2w c) = h4/machine__ieee/float__to__fp64 (h4/binary__ieee/float__mul__add mode (h4/machine__ieee/fp64__to__float (h4/words/n2w a)) (h4/machine__ieee/fp64__to__float (h4/words/n2w b)) (h4/machine__ieee/fp64__to__float (h4/words/n2w c)))
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_Q349068,TV_Q349064]: ![V_f, V_g]: (![V_x]: s(TV_Q349064,happ(s(t_fun(TV_Q349068,TV_Q349064),V_f),s(TV_Q349068,V_x))) = s(TV_Q349064,happ(s(t_fun(TV_Q349068,TV_Q349064),V_g),s(TV_Q349068,V_x))) => s(t_fun(TV_Q349068,TV_Q349064),V_f) = s(t_fun(TV_Q349068,TV_Q349064),V_g))).
fof(ch4s_machineu_u_ieees_fp64u_u_mulu_u_addu_u_n2w, conjecture, ![V_mode, V_c, V_b, V_a]: s(t_h4s_fcps_cart(t_bool,t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one))))))),h4s_machineu_u_ieees_fp64u_u_mulu_u_add(s(t_h4s_binaryu_u_ieees_rounding,V_mode),s(t_h4s_fcps_cart(t_bool,t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one))))))),h4s_wordss_n2w(s(t_h4s_nums_num,V_a))),s(t_h4s_fcps_cart(t_bool,t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one))))))),h4s_wordss_n2w(s(t_h4s_nums_num,V_b))),s(t_h4s_fcps_cart(t_bool,t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one))))))),h4s_wordss_n2w(s(t_h4s_nums_num,V_c))))) = s(t_h4s_fcps_cart(t_bool,t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one))))))),h4s_machineu_u_ieees_floatu_u_tou_u_fp64(s(t_h4s_binaryu_u_ieees_float(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit1(t_h4s_fcps_bit0(t_h4s_fcps_bit1(t_h4s_ones_one))))),t_h4s_fcps_bit1(t_h4s_fcps_bit1(t_h4s_fcps_bit0(t_h4s_ones_one)))),h4s_binaryu_u_ieees_floatu_u_mulu_u_add(s(t_h4s_binaryu_u_ieees_rounding,V_mode),s(t_h4s_binaryu_u_ieees_float(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit1(t_h4s_fcps_bit0(t_h4s_fcps_bit1(t_h4s_ones_one))))),t_h4s_fcps_bit1(t_h4s_fcps_bit1(t_h4s_fcps_bit0(t_h4s_ones_one)))),h4s_machineu_u_ieees_fp64u_u_tou_u_float(s(t_h4s_fcps_cart(t_bool,t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one))))))),h4s_wordss_n2w(s(t_h4s_nums_num,V_a))))),s(t_h4s_binaryu_u_ieees_float(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit1(t_h4s_fcps_bit0(t_h4s_fcps_bit1(t_h4s_ones_one))))),t_h4s_fcps_bit1(t_h4s_fcps_bit1(t_h4s_fcps_bit0(t_h4s_ones_one)))),h4s_machineu_u_ieees_fp64u_u_tou_u_float(s(t_h4s_fcps_cart(t_bool,t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one))))))),h4s_wordss_n2w(s(t_h4s_nums_num,V_b))))),s(t_h4s_binaryu_u_ieees_float(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit1(t_h4s_fcps_bit0(t_h4s_fcps_bit1(t_h4s_ones_one))))),t_h4s_fcps_bit1(t_h4s_fcps_bit1(t_h4s_fcps_bit0(t_h4s_ones_one)))),h4s_machineu_u_ieees_fp64u_u_tou_u_float(s(t_h4s_fcps_cart(t_bool,t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one))))))),h4s_wordss_n2w(s(t_h4s_nums_num,V_c)))))))))).
