# 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,X5))|p(s(t_bool,X4))))&s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,X3),s(X1,h4s_bools_cond(s(t_bool,X4),s(X1,X3),s(X1,X2)))))=s(X1,h4s_bools_cond(s(t_bool,X6),s(X1,X3),s(X1,X2)))),file('i/f/HolSmt/r024', ch4s_HolSmts_r024)).
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/r024', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(24, 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/r024', ah4s_HolSmts_d018)).
fof(29, axiom,![X1]:![X9]:![X17]:s(X1,h4s_bools_cond(s(t_bool,X17),s(X1,X9),s(X1,X9)))=s(X1,X9),file('i/f/HolSmt/r024', ah4s_bools_boolu_u_caseu_u_ID)).
fof(37, 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/r024', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(41, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r024', aHLu_FALSITY)).
fof(42, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/HolSmt/r024', aHLu_BOOLu_CASES)).
fof(45, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/HolSmt/r024', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
