# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(~(p(s(t_bool,h4s_paths_finite(s(t_h4s_paths_path(X1,X2),X3)))))<=>s(t_h4s_options_option(t_h4s_nums_num),h4s_paths_length(s(t_h4s_paths_path(X1,X2),X3)))=s(t_h4s_options_option(t_h4s_nums_num),h4s_options_none)),file('i/f/path/finite__length_c1', ch4s_paths_finiteu_u_lengthu_c1)).
fof(5, axiom,![X1]:![X5]:![X7]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X7),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X5))),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_h4s_options_option(X1),h4s_options_none)<=>~(p(s(t_bool,X7)))),file('i/f/path/finite__length_c1', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c0)).
fof(6, axiom,![X1]:![X5]:~(s(t_h4s_options_option(X1),h4s_options_none)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X5)))),file('i/f/path/finite__length_c1', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(7, axiom,![X1]:![X8]:(s(t_h4s_options_option(X1),X8)=s(t_h4s_options_option(X1),h4s_options_none)|?[X5]:s(t_h4s_options_option(X1),X8)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X5)))),file('i/f/path/finite__length_c1', ah4s_options_optionu_u_nchotomy)).
fof(9, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_paths_finite(s(t_h4s_paths_path(X1,X2),X3))))<=>?[X9]:s(t_h4s_options_option(t_h4s_nums_num),h4s_paths_length(s(t_h4s_paths_path(X1,X2),X3)))=s(t_h4s_options_option(t_h4s_nums_num),h4s_options_some(s(t_h4s_nums_num,X9)))),file('i/f/path/finite__length_c1', ah4s_paths_finiteu_u_lengthu_c0)).
fof(13, axiom,![X10]:![X11]:((p(s(t_bool,X11))=>p(s(t_bool,X10)))=>((p(s(t_bool,X10))=>p(s(t_bool,X11)))=>s(t_bool,X11)=s(t_bool,X10))),file('i/f/path/finite__length_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(40, axiom,![X1]:![X10]:![X11]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X11),s(X1,X10)))=s(X1,X10),file('i/f/path/finite__length_c1', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
