# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(?[X6]:((p(s(t_bool,X6))<=>s(X1,X4)=s(X1,X3))&?[X7]:((p(s(t_bool,X7))<=>s(X1,X2)=s(X1,X3))&p(s(t_bool,h4s_bools_cond(s(t_bool,X5),s(t_bool,X6),s(t_bool,X7))))))<=>s(X1,X3)=s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,X4),s(X1,X2)))),file('i/f/HolSmt/r028', ch4s_HolSmts_r028)).
fof(2, axiom,![X8]:![X9]:((p(s(t_bool,X9))=>p(s(t_bool,X8)))=>((p(s(t_bool,X8))=>p(s(t_bool,X9)))=>s(t_bool,X9)=s(t_bool,X8))),file('i/f/HolSmt/r028', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(23, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(?[X6]:((p(s(t_bool,X6))<=>s(X1,X4)=s(X1,X3))&?[X7]:((p(s(t_bool,X7))<=>s(X1,X4)=s(X1,X2))&p(s(t_bool,h4s_bools_cond(s(t_bool,X5),s(t_bool,X6),s(t_bool,X7))))))<=>s(X1,X4)=s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,X3),s(X1,X2)))),file('i/f/HolSmt/r028', ah4s_HolSmts_r026)).
fof(25, axiom,![X8]:![X9]:![X19]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X19),s(t_bool,X9),s(t_bool,X8))))<=>((~(p(s(t_bool,X19)))|p(s(t_bool,X9)))&(p(s(t_bool,X19))|p(s(t_bool,X8))))),file('i/f/HolSmt/r028', ah4s_bools_CONDu_u_EXPAND)).
fof(27, axiom,![X1]:![X3]:![X4]:![X11]:![X5]:?[X6]:((p(s(t_bool,X6))<=>(p(s(t_bool,X5))|p(s(t_bool,X11))))&s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,X4),s(X1,h4s_bools_cond(s(t_bool,X11),s(X1,X4),s(X1,X3)))))=s(X1,h4s_bools_cond(s(t_bool,X6),s(X1,X4),s(X1,X3)))),file('i/f/HolSmt/r028', ah4s_HolSmts_r024)).
fof(29, axiom,![X1]:![X3]:![X4]:![X5]:(~(p(s(t_bool,X5)))|s(X1,X4)=s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,X4),s(X1,X3)))),file('i/f/HolSmt/r028', ah4s_HolSmts_d018)).
fof(32, axiom,![X1]:![X3]:![X4]:![X11]:![X5]:?[X6]:((p(s(t_bool,X6))<=>(p(s(t_bool,X5))&~(p(s(t_bool,X11)))))&s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,h4s_bools_cond(s(t_bool,X11),s(X1,X4),s(X1,X3))),s(X1,X4)))=s(X1,h4s_bools_cond(s(t_bool,X6),s(X1,X3),s(X1,X4)))),file('i/f/HolSmt/r028', ah4s_HolSmts_r019)).
fof(33, axiom,![X1]:![X3]:![X4]:![X5]:?[X6]:((p(s(t_bool,X6))<=>~(p(s(t_bool,X5))))&s(X1,h4s_bools_cond(s(t_bool,X6),s(X1,X4),s(X1,X3)))=s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,X3),s(X1,X4)))),file('i/f/HolSmt/r028', ah4s_HolSmts_r018)).
fof(40, axiom,![X1]:![X3]:![X4]:![X5]:(p(s(t_bool,X5))|s(X1,X3)=s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,X4),s(X1,X3)))),file('i/f/HolSmt/r028', ah4s_HolSmts_d017)).
# SZS output end CNFRefutation
