# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(?[X3]:((p(s(t_bool,X3))<=>~(p(s(t_bool,X1))))&p(s(t_bool,h4s_bools_cond(s(t_bool,X2),s(t_bool,X3),s(t_bool,X1)))))<=>(p(s(t_bool,X2))<=>~(p(s(t_bool,X1))))),file('i/f/HolSmt/r016', ch4s_HolSmts_r016)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r016', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r016', aHLu_FALSITY)).
fof(16, axiom,![X1]:![X2]:(~(s(t_bool,X2)=s(t_bool,X1))=>(p(s(t_bool,X2))<=>~(p(s(t_bool,X1))))),file('i/f/HolSmt/r016', ah4s_HolSmts_NEGu_u_IFFu_u_2u_u_2)).
fof(27, axiom,![X8]:![X9]:![X10]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X10),s(t_bool,X9),s(t_bool,X8))))<=>((~(p(s(t_bool,X10)))|p(s(t_bool,X9)))&(p(s(t_bool,X10))|p(s(t_bool,X8))))),file('i/f/HolSmt/r016', ah4s_bools_CONDu_u_EXPAND)).
fof(36, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/HolSmt/r016', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(46, axiom,(p(s(t_bool,f))<=>![X5]:p(s(t_bool,X5))),file('i/f/HolSmt/r016', ah4s_bools_Fu_u_DEF)).
fof(66, axiom,![X19]:![X4]:![X1]:![X2]:(s(t_bool,X2)=s(t_bool,h4s_bools_cond(s(t_bool,X1),s(t_bool,X4),s(t_bool,X19)))<=>((p(s(t_bool,X2))|(p(s(t_bool,X1))|~(p(s(t_bool,X19)))))&((p(s(t_bool,X2))|(~(p(s(t_bool,X4)))|~(p(s(t_bool,X1)))))&((p(s(t_bool,X2))|(~(p(s(t_bool,X4)))|~(p(s(t_bool,X19)))))&((~(p(s(t_bool,X1)))|(p(s(t_bool,X4))|~(p(s(t_bool,X2)))))&(p(s(t_bool,X1))|(p(s(t_bool,X19))|~(p(s(t_bool,X2)))))))))),file('i/f/HolSmt/r016', ah4s_sats_dcu_u_cond)).
fof(74, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/HolSmt/r016', aHLu_BOOLu_CASES)).
fof(77, axiom,![X12]:![X8]:![X9]:s(X12,h4s_bools_cond(s(t_bool,f),s(X12,X9),s(X12,X8)))=s(X12,X8),file('i/f/HolSmt/r016', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
