# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:?[X6]:((p(s(t_bool,X6))<=>(~(p(s(t_bool,X4)))&p(s(t_bool,X5))))&s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,h4s_bools_cond(s(t_bool,X4),s(X1,X3),s(X1,X2))),s(X1,X3)))=s(X1,h4s_bools_cond(s(t_bool,X6),s(X1,X2),s(X1,X3)))),file('i/f/HolSmt/r020', ch4s_HolSmts_r020)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r020', aHLu_FALSITY)).
fof(3, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:?[X6]:((p(s(t_bool,X6))<=>(p(s(t_bool,X5))&~(p(s(t_bool,X4)))))&s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,h4s_bools_cond(s(t_bool,X4),s(X1,X3),s(X1,X2))),s(X1,X3)))=s(X1,h4s_bools_cond(s(t_bool,X6),s(X1,X2),s(X1,X3)))),file('i/f/HolSmt/r020', ah4s_HolSmts_r019)).
fof(4, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/HolSmt/r020', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(23, axiom,![X9]:(s(t_bool,X9)=s(t_bool,f)<=>~(p(s(t_bool,X9)))),file('i/f/HolSmt/r020', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(26, axiom,![X1]:![X2]:![X3]:![X5]:?[X6]:((p(s(t_bool,X6))<=>~(p(s(t_bool,X5))))&s(X1,h4s_bools_cond(s(t_bool,X6),s(X1,X3),s(X1,X2)))=s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,X2),s(X1,X3)))),file('i/f/HolSmt/r020', ah4s_HolSmts_r018)).
fof(36, axiom,(p(s(t_bool,f))<=>![X9]:p(s(t_bool,X9))),file('i/f/HolSmt/r020', ah4s_bools_Fu_u_DEF)).
# SZS output end CNFRefutation
