%   ORIGINAL: h4/rich__list/IS__SUFFIX__IS__SUBLIST
% 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/REFL__CLAUSE: !x. x = x <=> T
% Assm: h4/rich__list/APPEND__NIL_c0: !l. h4/list/APPEND l h4/list/NIL = l
% Assm: h4/rich__list/IS__SUFFIX__APPEND: !l2 l1. h4/rich__list/IS__SUFFIX l1 l2 <=> (?l. l1 = h4/list/APPEND l l2)
% Assm: h4/rich__list/IS__SUBLIST__APPEND: !l2 l1. h4/rich__list/IS__SUBLIST l1 l2 <=> (?l l_27. l1 = h4/list/APPEND l (h4/list/APPEND l2 l_27))
% Goal: !l2 l1. h4/rich__list/IS__SUFFIX l1 l2 ==> h4/rich__list/IS__SUBLIST l1 l2
%   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_REFLu_u_CLAUSE]: !x. x = x <=> T
% Assm [h4s_richu_u_lists_APPENDu_u_NILu_c0]: !l. h4/list/APPEND l h4/list/NIL = l
% Assm [h4s_richu_u_lists_ISu_u_SUFFIXu_u_APPEND]: !l2 l1. h4/rich__list/IS__SUFFIX l1 l2 <=> (?l. l1 = h4/list/APPEND l l2)
% Assm [h4s_richu_u_lists_ISu_u_SUBLISTu_u_APPEND]: !l2 l1. h4/rich__list/IS__SUBLIST l1 l2 <=> (?l l_27. l1 = h4/list/APPEND l (h4/list/APPEND l2 l_27))
% Goal: !l2 l1. h4/rich__list/IS__SUFFIX l1 l2 ==> h4/rich__list/IS__SUBLIST l1 l2
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_Q159083,TV_Q159079]: ![V_f, V_g]: (![V_x]: s(TV_Q159079,happ(s(t_fun(TV_Q159083,TV_Q159079),V_f),s(TV_Q159083,V_x))) = s(TV_Q159079,happ(s(t_fun(TV_Q159083,TV_Q159079),V_g),s(TV_Q159083,V_x))) => s(t_fun(TV_Q159083,TV_Q159079),V_f) = s(t_fun(TV_Q159083,TV_Q159079),V_g))).
fof(ah4s_bools_TRUTH, axiom, p(s(t_bool,t))).
fof(ah4s_bools_REFLu_u_CLAUSE, axiom, ![TV_u_27a]: ![V_x]: (s(TV_u_27a,V_x) = s(TV_u_27a,V_x) <=> p(s(t_bool,t)))).
fof(ah4s_richu_u_lists_APPENDu_u_NILu_c0, axiom, ![TV_u_27a]: ![V_l]: s(t_h4s_lists_list(TV_u_27a),h4s_lists_append(s(t_h4s_lists_list(TV_u_27a),V_l),s(t_h4s_lists_list(TV_u_27a),h4s_lists_nil))) = s(t_h4s_lists_list(TV_u_27a),V_l)).
fof(ah4s_richu_u_lists_ISu_u_SUFFIXu_u_APPEND, axiom, ![TV_u_27a]: ![V_l2, V_l1]: (p(s(t_bool,h4s_richu_u_lists_isu_u_suffix(s(t_h4s_lists_list(TV_u_27a),V_l1),s(t_h4s_lists_list(TV_u_27a),V_l2)))) <=> ?[V_l]: s(t_h4s_lists_list(TV_u_27a),V_l1) = s(t_h4s_lists_list(TV_u_27a),h4s_lists_append(s(t_h4s_lists_list(TV_u_27a),V_l),s(t_h4s_lists_list(TV_u_27a),V_l2))))).
fof(ah4s_richu_u_lists_ISu_u_SUBLISTu_u_APPEND, axiom, ![TV_u_27a]: ![V_l2, V_l1]: (p(s(t_bool,h4s_richu_u_lists_isu_u_sublist(s(t_h4s_lists_list(TV_u_27a),V_l1),s(t_h4s_lists_list(TV_u_27a),V_l2)))) <=> ?[V_l, V_lu_27]: s(t_h4s_lists_list(TV_u_27a),V_l1) = s(t_h4s_lists_list(TV_u_27a),h4s_lists_append(s(t_h4s_lists_list(TV_u_27a),V_l),s(t_h4s_lists_list(TV_u_27a),h4s_lists_append(s(t_h4s_lists_list(TV_u_27a),V_l2),s(t_h4s_lists_list(TV_u_27a),V_lu_27))))))).
fof(ch4s_richu_u_lists_ISu_u_SUFFIXu_u_ISu_u_SUBLIST, conjecture, ![TV_u_27a]: ![V_l2, V_l1]: (p(s(t_bool,h4s_richu_u_lists_isu_u_suffix(s(t_h4s_lists_list(TV_u_27a),V_l1),s(t_h4s_lists_list(TV_u_27a),V_l2)))) => p(s(t_bool,h4s_richu_u_lists_isu_u_sublist(s(t_h4s_lists_list(TV_u_27a),V_l1),s(t_h4s_lists_list(TV_u_27a),V_l2)))))).
