# 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,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/r019', ch4s_HolSmts_r019)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r019', aHLu_FALSITY)).
fof(3, 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/r019', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(9, 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/r019', ah4s_HolSmts_d017)).
fof(14, axiom,(p(s(t_bool,f))<=>![X13]:p(s(t_bool,X13))),file('i/f/HolSmt/r019', ah4s_bools_Fu_u_DEF)).
fof(33, axiom,![X13]:(s(t_bool,X13)=s(t_bool,f)<=>~(p(s(t_bool,X13)))),file('i/f/HolSmt/r019', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(39, 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/r019', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(68, axiom,![X1]:![X7]:![X8]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X8),s(X1,X7)))=s(X1,X8),file('i/f/HolSmt/r019', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(77, axiom,![X13]:(s(t_bool,X13)=s(t_bool,t)<=>p(s(t_bool,X13))),file('i/f/HolSmt/r019', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
