# 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),h4s_options_some(s(X1,h4s_options_the(s(t_h4s_options_option(X1),X2)))))=s(t_h4s_options_option(X1),X2)),file('i/f/option/option__CLAUSES_c8', ch4s_options_optionu_u_CLAUSESu_c8)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/option/option__CLAUSES_c8', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/option/option__CLAUSES_c8', aHLu_FALSITY)).
fof(6, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/option/option__CLAUSES_c8', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(12, axiom,![X1]:![X7]:(s(t_h4s_options_option(X1),X7)=s(t_h4s_options_option(X1),h4s_options_none)|?[X2]:s(t_h4s_options_option(X1),X7)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))),file('i/f/option/option__CLAUSES_c8', ah4s_options_optionu_u_nchotomy)).
fof(14, 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/option__CLAUSES_c8', ah4s_options_ISu_u_SOMEu_u_DEFu_c0)).
fof(15, 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/option__CLAUSES_c8', ah4s_options_ISu_u_SOMEu_u_DEFu_c1)).
fof(16, axiom,![X1]:![X2]:s(X1,h4s_options_the(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))))=s(X1,X2),file('i/f/option/option__CLAUSES_c8', ah4s_options_THEu_u_DEF)).
# SZS output end CNFRefutation
