# 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,X1)))<=>p(s(t_bool,X2)))),file('i/f/HolSmt/r017', ch4s_HolSmts_r017)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r017', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r017', aHLu_FALSITY)).
fof(16, axiom,![X1]:![X2]:(~((~(p(s(t_bool,X2)))<=>p(s(t_bool,X1))))<=>s(t_bool,X2)=s(t_bool,X1)),file('i/f/HolSmt/r017', ah4s_HolSmts_r009)).
fof(26, axiom,![X8]:![X4]:![X1]:![X2]:(s(t_bool,X2)=s(t_bool,h4s_bools_cond(s(t_bool,X1),s(t_bool,X4),s(t_bool,X8)))<=>((p(s(t_bool,X2))|(p(s(t_bool,X1))|~(p(s(t_bool,X8)))))&((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,X8)))))&((~(p(s(t_bool,X1)))|(p(s(t_bool,X4))|~(p(s(t_bool,X2)))))&(p(s(t_bool,X1))|(p(s(t_bool,X8))|~(p(s(t_bool,X2)))))))))),file('i/f/HolSmt/r017', ah4s_sats_dcu_u_cond)).
fof(34, axiom,![X9]:![X10]:![X11]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X11),s(t_bool,X10),s(t_bool,X9))))<=>((~(p(s(t_bool,X11)))|p(s(t_bool,X10)))&(p(s(t_bool,X11))|p(s(t_bool,X9))))),file('i/f/HolSmt/r017', ah4s_bools_CONDu_u_EXPAND)).
fof(39, axiom,![X7]:(s(t_bool,f)=s(t_bool,X7)<=>~(p(s(t_bool,X7)))),file('i/f/HolSmt/r017', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(55, axiom,(p(s(t_bool,f))<=>![X7]:p(s(t_bool,X7))),file('i/f/HolSmt/r017', ah4s_bools_Fu_u_DEF)).
fof(69, axiom,![X12]:![X9]:![X10]:s(X12,h4s_bools_cond(s(t_bool,f),s(X12,X10),s(X12,X9)))=s(X12,X9),file('i/f/HolSmt/r017', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(81, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/HolSmt/r017', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
