# 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,X2)))=s(X1,h4s_bools_cond(s(t_bool,X6),s(X1,X3),s(X1,X2)))),file('i/f/HolSmt/r022', ch4s_HolSmts_r022)).
fof(2, 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/r022', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(28, axiom,![X1]:![X2]:![X3]:![X5]:(~(p(s(t_bool,X5)))|s(X1,X3)=s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,X3),s(X1,X2)))),file('i/f/HolSmt/r022', ah4s_HolSmts_d018)).
fof(30, 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/r022', ah4s_HolSmts_r018)).
fof(33, axiom,![X1]:![X2]:![X3]:![X5]:(p(s(t_bool,X5))|s(X1,X2)=s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,X3),s(X1,X2)))),file('i/f/HolSmt/r022', ah4s_HolSmts_d017)).
fof(35, axiom,![X1]:![X7]:![X8]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X8),s(X1,X7)))=s(X1,X7),file('i/f/HolSmt/r022', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(37, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r022', aHLu_FALSITY)).
fof(38, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/HolSmt/r022', aHLu_BOOLu_CASES)).
fof(41, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/HolSmt/r022', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
