# 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,X2)))=s(X1,h4s_bools_cond(s(t_bool,X6),s(X1,X3),s(X1,X2)))),file('i/f/HolSmt/r021', ch4s_HolSmts_r021)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r021', aHLu_FALSITY)).
fof(5, 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/r021', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(24, axiom,![X9]:(s(t_bool,X9)=s(t_bool,f)<=>~(p(s(t_bool,X9)))),file('i/f/HolSmt/r021', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(26, axiom,![X1]:![X9]:![X13]:s(X1,h4s_bools_cond(s(t_bool,X13),s(X1,X9),s(X1,X9)))=s(X1,X9),file('i/f/HolSmt/r021', ah4s_bools_CONDu_u_ID)).
fof(31, 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/r021', ah4s_HolSmts_d017)).
fof(35, axiom,(p(s(t_bool,f))<=>![X9]:p(s(t_bool,X9))),file('i/f/HolSmt/r021', ah4s_bools_Fu_u_DEF)).
fof(40, 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/r021', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(58, 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/r021', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(73, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)<=>p(s(t_bool,X9))),file('i/f/HolSmt/r021', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
