# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(~(p(s(t_bool,h4s_options_isu_u_some(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/NOT__IS__SOME__EQ__NONE', ch4s_options_NOTu_u_ISu_u_SOMEu_u_EQu_u_NONE)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/option/NOT__IS__SOME__EQ__NONE', aHLu_FALSITY)).
fof(22, axiom,![X10]:(s(t_bool,f)=s(t_bool,X10)<=>~(p(s(t_bool,X10)))),file('i/f/option/NOT__IS__SOME__EQ__NONE', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(35, axiom,(p(s(t_bool,f))<=>![X10]:p(s(t_bool,X10))),file('i/f/option/NOT__IS__SOME__EQ__NONE', ah4s_bools_Fu_u_DEF)).
fof(53, axiom,![X1]:s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X1),h4s_options_none)))=s(t_bool,f),file('i/f/option/NOT__IS__SOME__EQ__NONE', ah4s_options_ISu_u_SOMEu_u_DEFu_c1)).
fof(55, axiom,![X1]:![X25]:(s(t_h4s_options_option(X1),X25)=s(t_h4s_options_option(X1),h4s_options_none)|?[X2]:s(t_h4s_options_option(X1),X25)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))),file('i/f/option/NOT__IS__SOME__EQ__NONE', ah4s_options_optionu_u_nchotomy)).
fof(64, axiom,p(s(t_bool,t)),file('i/f/option/NOT__IS__SOME__EQ__NONE', aHLu_TRUTH)).
fof(80, axiom,![X1]:![X2]:s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))))=s(t_bool,t),file('i/f/option/NOT__IS__SOME__EQ__NONE', ah4s_options_ISu_u_SOMEu_u_DEFu_c0)).
fof(81, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/option/NOT__IS__SOME__EQ__NONE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
