# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_options_isu_u_none(s(t_h4s_options_option(X1),X2))))<=>s(t_h4s_options_option(X1),X2)=s(t_h4s_options_option(X1),h4s_options_none)),file('i/f/option/IS__NONE__EQ__NONE', ch4s_options_ISu_u_NONEu_u_EQu_u_NONE)).
fof(5, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/option/IS__NONE__EQ__NONE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(28, axiom,![X1]:![X21]:(s(t_h4s_options_option(X1),X21)=s(t_h4s_options_option(X1),h4s_options_none)|?[X2]:s(t_h4s_options_option(X1),X21)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))),file('i/f/option/IS__NONE__EQ__NONE', ah4s_options_optionu_u_nchotomy)).
fof(38, axiom,p(s(t_bool,t)),file('i/f/option/IS__NONE__EQ__NONE', aHLu_TRUTH)).
fof(39, axiom,~(p(s(t_bool,f))),file('i/f/option/IS__NONE__EQ__NONE', aHLu_FALSITY)).
fof(55, axiom,(p(s(t_bool,f))<=>![X8]:p(s(t_bool,X8))),file('i/f/option/IS__NONE__EQ__NONE', ah4s_bools_Fu_u_DEF)).
fof(57, axiom,![X1]:s(t_bool,h4s_options_isu_u_none(s(t_h4s_options_option(X1),h4s_options_none)))=s(t_bool,t),file('i/f/option/IS__NONE__EQ__NONE', ah4s_options_ISu_u_NONEu_u_DEFu_c1)).
fof(58, axiom,![X1]:![X2]:s(t_bool,h4s_options_isu_u_none(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))))=s(t_bool,f),file('i/f/option/IS__NONE__EQ__NONE', ah4s_options_ISu_u_NONEu_u_DEFu_c0)).
# SZS output end CNFRefutation
