# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(~((~(p(s(t_bool,X2)))<=>p(s(t_bool,X1))))<=>s(t_bool,X2)=s(t_bool,X1)),file('i/f/HolSmt/r009', ch4s_HolSmts_r009)).
fof(45, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r009', aHLu_FALSITY)).
fof(51, axiom,(p(s(t_bool,f))<=>![X4]:p(s(t_bool,X4))),file('i/f/HolSmt/r009', ah4s_bools_Fu_u_DEF)).
fof(52, axiom,![X4]:(s(t_bool,f)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/HolSmt/r009', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(66, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/HolSmt/r009', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
