# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(9, axiom,![X7]:![X8]:![X9]:![X4]:s(X8,h4s_options_optionu_u_case(s(t_h4s_options_option(X7),h4s_options_none),s(X8,X9),s(t_fun(X7,X8),X4)))=s(X8,X9),file('i/f/string/EXPLODE__DEST__STRING', ah4s_options_optionu_u_caseu_u_defu_c0)).
fof(10, axiom,![X8]:![X7]:![X6]:![X9]:![X4]:s(X8,h4s_options_optionu_u_case(s(t_h4s_options_option(X7),h4s_options_some(s(X7,X6))),s(X8,X9),s(t_fun(X7,X8),X4)))=s(X8,happ(s(t_fun(X7,X8),X4),s(X7,X6))),file('i/f/string/EXPLODE__DEST__STRING', ah4s_options_optionu_u_caseu_u_defu_c1)).
fof(11, axiom,![X7]:![X8]:![X10]:![X11]:![X6]:![X4]:s(X7,h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(X8,X10),h4s_pairs_u_2c(s(X8,X6),s(X10,X11))),s(t_fun(X8,t_fun(X10,X7)),X4)))=s(X7,happ(s(t_fun(X10,X7),happ(s(t_fun(X8,t_fun(X10,X7)),X4),s(X8,X6))),s(X10,X11))),file('i/f/string/EXPLODE__DEST__STRING', ah4s_pairs_pairu_u_caseu_u_thm)).
fof(12, axiom,![X7]:![X12]:(s(t_h4s_lists_list(X7),X12)=s(t_h4s_lists_list(X7),h4s_lists_nil)|?[X13]:?[X1]:s(t_h4s_lists_list(X7),X12)=s(t_h4s_lists_list(X7),h4s_lists_cons(s(X7,X13),s(t_h4s_lists_list(X7),X1)))),file('i/f/string/EXPLODE__DEST__STRING', ah4s_lists_listu_u_nchotomy)).
fof(14, axiom,s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_explode(s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_nil)))=s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_nil),file('i/f/string/EXPLODE__DEST__STRING', ah4s_strings_EXPLODEu_u_defu_c0)).
fof(15, axiom,![X18]:![X19]:s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_explode(s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_cons(s(t_h4s_strings_char,X19),s(t_h4s_lists_list(t_h4s_strings_char),X18)))))=s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_cons(s(t_h4s_strings_char,X19),s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_explode(s(t_h4s_lists_list(t_h4s_strings_char),X18))))),file('i/f/string/EXPLODE__DEST__STRING', ah4s_strings_EXPLODEu_u_defu_c1)).
fof(17, axiom,s(t_h4s_options_option(t_h4s_pairs_prod(t_h4s_strings_char,t_h4s_lists_list(t_h4s_strings_char))),h4s_strings_destu_u_string(s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_nil)))=s(t_h4s_options_option(t_h4s_pairs_prod(t_h4s_strings_char,t_h4s_lists_list(t_h4s_strings_char))),h4s_options_none),file('i/f/string/EXPLODE__DEST__STRING', ah4s_strings_DESTu_u_STRINGu_u_defu_c0)).
fof(18, axiom,![X22]:![X19]:s(t_h4s_options_option(t_h4s_pairs_prod(t_h4s_strings_char,t_h4s_lists_list(t_h4s_strings_char))),h4s_strings_destu_u_string(s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_cons(s(t_h4s_strings_char,X19),s(t_h4s_lists_list(t_h4s_strings_char),X22)))))=s(t_h4s_options_option(t_h4s_pairs_prod(t_h4s_strings_char,t_h4s_lists_list(t_h4s_strings_char))),h4s_options_some(s(t_h4s_pairs_prod(t_h4s_strings_char,t_h4s_lists_list(t_h4s_strings_char)),h4s_pairs_u_2c(s(t_h4s_strings_char,X19),s(t_h4s_lists_list(t_h4s_strings_char),X22))))),file('i/f/string/EXPLODE__DEST__STRING', ah4s_strings_DESTu_u_STRINGu_u_defu_c1)).
fof(19, conjecture,![X23]:(![X19]:![X1]:s(t_h4s_lists_list(t_h4s_strings_char),happ(s(t_fun(t_h4s_lists_list(t_h4s_strings_char),t_h4s_lists_list(t_h4s_strings_char)),happ(s(t_fun(t_h4s_strings_char,t_fun(t_h4s_lists_list(t_h4s_strings_char),t_h4s_lists_list(t_h4s_strings_char))),X23),s(t_h4s_strings_char,X19))),s(t_h4s_lists_list(t_h4s_strings_char),X1)))=s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_cons(s(t_h4s_strings_char,X19),s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_explode(s(t_h4s_lists_list(t_h4s_strings_char),X1)))))=>![X24]:(![X19]:s(t_fun(t_h4s_lists_list(t_h4s_strings_char),t_h4s_lists_list(t_h4s_strings_char)),happ(s(t_fun(t_h4s_strings_char,t_fun(t_h4s_lists_list(t_h4s_strings_char),t_h4s_lists_list(t_h4s_strings_char))),X24),s(t_h4s_strings_char,X19)))=s(t_fun(t_h4s_lists_list(t_h4s_strings_char),t_h4s_lists_list(t_h4s_strings_char)),happ(s(t_fun(t_h4s_strings_char,t_fun(t_h4s_lists_list(t_h4s_strings_char),t_h4s_lists_list(t_h4s_strings_char))),X23),s(t_h4s_strings_char,X19)))=>![X25]:(![X9]:s(t_h4s_lists_list(t_h4s_strings_char),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_strings_char,t_h4s_lists_list(t_h4s_strings_char)),t_h4s_lists_list(t_h4s_strings_char)),X25),s(t_h4s_pairs_prod(t_h4s_strings_char,t_h4s_lists_list(t_h4s_strings_char)),X9)))=s(t_h4s_lists_list(t_h4s_strings_char),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_strings_char,t_h4s_lists_list(t_h4s_strings_char)),X9),s(t_fun(t_h4s_strings_char,t_fun(t_h4s_lists_list(t_h4s_strings_char),t_h4s_lists_list(t_h4s_strings_char))),X24)))=>![X18]:s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_explode(s(t_h4s_lists_list(t_h4s_strings_char),X18)))=s(t_h4s_lists_list(t_h4s_strings_char),h4s_options_optionu_u_case(s(t_h4s_options_option(t_h4s_pairs_prod(t_h4s_strings_char,t_h4s_lists_list(t_h4s_strings_char))),h4s_strings_destu_u_string(s(t_h4s_lists_list(t_h4s_strings_char),X18))),s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_nil),s(t_fun(t_h4s_pairs_prod(t_h4s_strings_char,t_h4s_lists_list(t_h4s_strings_char)),t_h4s_lists_list(t_h4s_strings_char)),X25)))))),file('i/f/string/EXPLODE__DEST__STRING', ch4s_strings_EXPLODEu_u_DESTu_u_STRING)).
# SZS output end CNFRefutation
