# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(X2,h4s_options_optionu_u_case(s(t_h4s_options_option(X1),X3),s(X2,X5),s(t_fun(X1,X2),X4)))=s(X2,h4s_bools_cond(s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X1),X3))),s(X2,happ(s(t_fun(X1,X2),X4),s(X1,h4s_options_the(s(t_h4s_options_option(X1),X3))))),s(X2,X5))),file('i/f/option/option__case__compute', ch4s_options_optionu_u_caseu_u_compute)).
fof(8, axiom,![X1]:![X10]:![X11]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X11),s(X1,X10)))=s(X1,X11),file('i/f/option/option__case__compute', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(9, axiom,![X1]:![X10]:![X11]:s(X1,h4s_bools_cond(s(t_bool,f0),s(X1,X11),s(X1,X10)))=s(X1,X10),file('i/f/option/option__case__compute', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(10, axiom,![X1]:![X12]:(s(t_h4s_options_option(X1),X12)=s(t_h4s_options_option(X1),h4s_options_none)|?[X3]:s(t_h4s_options_option(X1),X12)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3)))),file('i/f/option/option__case__compute', ah4s_options_optionu_u_nchotomy)).
fof(11, axiom,![X1]:![X2]:![X13]:![X4]:s(X2,h4s_options_optionu_u_case(s(t_h4s_options_option(X1),h4s_options_none),s(X2,X13),s(t_fun(X1,X2),X4)))=s(X2,X13),file('i/f/option/option__case__compute', ah4s_options_optionu_u_caseu_u_defu_c0)).
fof(12, axiom,![X2]:![X1]:![X3]:![X13]:![X4]:s(X2,h4s_options_optionu_u_case(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3))),s(X2,X13),s(t_fun(X1,X2),X4)))=s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X3))),file('i/f/option/option__case__compute', ah4s_options_optionu_u_caseu_u_defu_c1)).
fof(13, axiom,![X1]:![X3]:s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3)))))=s(t_bool,t),file('i/f/option/option__case__compute', ah4s_options_ISu_u_SOMEu_u_DEFu_c0)).
fof(14, axiom,![X1]:s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X1),h4s_options_none)))=s(t_bool,f0),file('i/f/option/option__case__compute', ah4s_options_ISu_u_SOMEu_u_DEFu_c1)).
fof(15, axiom,![X1]:![X3]:s(X1,h4s_options_the(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3)))))=s(X1,X3),file('i/f/option/option__case__compute', ah4s_options_THEu_u_DEF)).
# SZS output end CNFRefutation
