# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X2),X3))))=>s(X1,h4s_options_optionu_u_case(s(t_h4s_options_option(X2),X3),s(X1,X5),s(t_fun(X2,X1),X4)))=s(X1,happ(s(t_fun(X2,X1),X4),s(X2,h4s_options_the(s(t_h4s_options_option(X2),X3)))))),file('i/f/option/option__CLAUSES_c12', ch4s_options_optionu_u_CLAUSESu_c12)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/option/option__CLAUSES_c12', aHLu_FALSITY)).
fof(10, axiom,![X2]:![X10]:(s(t_h4s_options_option(X2),X10)=s(t_h4s_options_option(X2),h4s_options_none)|?[X3]:s(t_h4s_options_option(X2),X10)=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X3)))),file('i/f/option/option__CLAUSES_c12', ah4s_options_optionu_u_nchotomy)).
fof(12, axiom,![X1]:![X2]:![X3]:![X11]:![X4]:s(X1,h4s_options_optionu_u_case(s(t_h4s_options_option(X2),h4s_options_some(s(X2,X3))),s(X1,X11),s(t_fun(X2,X1),X4)))=s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X3))),file('i/f/option/option__CLAUSES_c12', ah4s_options_optionu_u_caseu_u_defu_c1)).
fof(14, axiom,![X2]:s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X2),h4s_options_none)))=s(t_bool,f0),file('i/f/option/option__CLAUSES_c12', ah4s_options_ISu_u_SOMEu_u_DEFu_c1)).
fof(15, axiom,![X2]:![X3]:s(X2,h4s_options_the(s(t_h4s_options_option(X2),h4s_options_some(s(X2,X3)))))=s(X2,X3),file('i/f/option/option__CLAUSES_c12', ah4s_options_THEu_u_DEF)).
# SZS output end CNFRefutation
