# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_cons(s(t_h4s_strings_char,X3),s(t_h4s_lists_list(t_h4s_strings_char),X1)))=s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_implode(s(t_h4s_lists_list(t_h4s_strings_char),X2)))<=>s(t_h4s_lists_list(t_h4s_strings_char),X2)=s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_cons(s(t_h4s_strings_char,X3),s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_explode(s(t_h4s_lists_list(t_h4s_strings_char),X1)))))),file('i/f/string/IMPLODE__EQ__THM_c0', ch4s_strings_IMPLODEu_u_EQu_u_THMu_c0)).
fof(14, axiom,![X7]:![X13]:![X14]:![X15]:![X16]:(s(t_h4s_lists_list(X7),h4s_lists_cons(s(X7,X16),s(t_h4s_lists_list(X7),X14)))=s(t_h4s_lists_list(X7),h4s_lists_cons(s(X7,X15),s(t_h4s_lists_list(X7),X13)))<=>(s(X7,X16)=s(X7,X15)&s(t_h4s_lists_list(X7),X14)=s(t_h4s_lists_list(X7),X13))),file('i/f/string/IMPLODE__EQ__THM_c0', ah4s_lists_CONSu_u_11)).
fof(15, axiom,![X17]:![X3]:s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_implode(s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_cons(s(t_h4s_strings_char,X3),s(t_h4s_lists_list(t_h4s_strings_char),X17)))))=s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_cons(s(t_h4s_strings_char,X3),s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_implode(s(t_h4s_lists_list(t_h4s_strings_char),X17))))),file('i/f/string/IMPLODE__EQ__THM_c0', ah4s_strings_IMPLODEu_u_defu_c1)).
fof(16, axiom,![X7]:![X2]:(s(t_h4s_lists_list(X7),X2)=s(t_h4s_lists_list(X7),h4s_lists_nil)|?[X18]:?[X6]:s(t_h4s_lists_list(X7),X2)=s(t_h4s_lists_list(X7),h4s_lists_cons(s(X7,X18),s(t_h4s_lists_list(X7),X6)))),file('i/f/string/IMPLODE__EQ__THM_c0', ah4s_lists_listu_u_nchotomy)).
fof(17, axiom,![X7]:![X14]:![X16]:~(s(t_h4s_lists_list(X7),h4s_lists_nil)=s(t_h4s_lists_list(X7),h4s_lists_cons(s(X7,X16),s(t_h4s_lists_list(X7),X14)))),file('i/f/string/IMPLODE__EQ__THM_c0', ah4s_lists_NOTu_u_NILu_u_CONS)).
fof(18, axiom,![X1]:s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_implode(s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_explode(s(t_h4s_lists_list(t_h4s_strings_char),X1)))))=s(t_h4s_lists_list(t_h4s_strings_char),X1),file('i/f/string/IMPLODE__EQ__THM_c0', ah4s_strings_IMPLODEu_u_EXPLODE)).
fof(19, axiom,![X17]:s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_explode(s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_implode(s(t_h4s_lists_list(t_h4s_strings_char),X17)))))=s(t_h4s_lists_list(t_h4s_strings_char),X17),file('i/f/string/IMPLODE__EQ__THM_c0', ah4s_strings_EXPLODEu_u_IMPLODE)).
fof(20, axiom,s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_implode(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/IMPLODE__EQ__THM_c0', ah4s_strings_IMPLODEu_u_defu_c0)).
# SZS output end CNFRefutation
