# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:?[X5]:((p(s(t_bool,X5))<=>~(p(s(t_bool,X4))))&s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,X3),s(X1,X2)))=s(X1,h4s_bools_cond(s(t_bool,X4),s(X1,X2),s(X1,X3)))),file('i/f/HolSmt/r018', ch4s_HolSmts_r018)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r018', aHLu_FALSITY)).
fof(10, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,X4))|s(X1,X2)=s(X1,h4s_bools_cond(s(t_bool,X4),s(X1,X3),s(X1,X2)))),file('i/f/HolSmt/r018', ah4s_HolSmts_d017)).
fof(13, axiom,(p(s(t_bool,f))<=>![X12]:p(s(t_bool,X12))),file('i/f/HolSmt/r018', ah4s_bools_Fu_u_DEF)).
fof(33, axiom,![X12]:(s(t_bool,X12)=s(t_bool,f)<=>~(p(s(t_bool,X12)))),file('i/f/HolSmt/r018', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(39, axiom,![X1]:![X6]:![X7]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X7),s(X1,X6)))=s(X1,X6),file('i/f/HolSmt/r018', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(69, axiom,![X1]:![X6]:![X7]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X7),s(X1,X6)))=s(X1,X7),file('i/f/HolSmt/r018', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(73, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r018', aHLu_TRUTH)).
fof(76, axiom,![X12]:(s(t_bool,X12)=s(t_bool,t)<=>p(s(t_bool,X12))),file('i/f/HolSmt/r018', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
