# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:p(s(t_bool,happ(s(t_fun(t_h4s_ones_one,t_bool),X1),s(t_h4s_ones_one,X2))))<=>p(s(t_bool,happ(s(t_fun(t_h4s_ones_one,t_bool),X1),s(t_h4s_ones_one,h4s_ones_one0))))),file('i/f/one/FORALL__ONE', ch4s_ones_FORALLu_u_ONE)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/one/FORALL__ONE', 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/one/FORALL__ONE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(12, axiom,(p(s(t_bool,f))<=>![X3]:p(s(t_bool,X3))),file('i/f/one/FORALL__ONE', ah4s_bools_Fu_u_DEF)).
fof(21, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/one/FORALL__ONE', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(63, axiom,![X22]:s(t_h4s_ones_one,X22)=s(t_h4s_ones_one,h4s_ones_one0),file('i/f/one/FORALL__ONE', ah4s_ones_one1)).
# SZS output end CNFRefutation
