# 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,X1),s(t_bool,X3)))))<=>s(t_bool,X2)=s(t_bool,X1)),file('i/f/HolSmt/r014', ch4s_HolSmts_r014)).
fof(5, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/HolSmt/r014', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(42, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r014', aHLu_FALSITY)).
fof(51, axiom,(p(s(t_bool,f))<=>![X5]:p(s(t_bool,X5))),file('i/f/HolSmt/r014', ah4s_bools_Fu_u_DEF)).
fof(54, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/HolSmt/r014', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(57, axiom,![X4]:![X1]:![X2]:(?[X3]:((p(s(t_bool,X3))<=>~(p(s(t_bool,X4))))&p(s(t_bool,h4s_bools_cond(s(t_bool,X2),s(t_bool,X1),s(t_bool,X3)))))|(p(s(t_bool,X2))|p(s(t_bool,X4)))),file('i/f/HolSmt/r014', ah4s_HolSmts_d026)).
fof(60, axiom,![X6]:![X7]:![X23]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X23),s(t_bool,X7),s(t_bool,X6))))<=>((~(p(s(t_bool,X23)))|p(s(t_bool,X7)))&(p(s(t_bool,X23))|p(s(t_bool,X6))))),file('i/f/HolSmt/r014', ah4s_bools_CONDu_u_EXPAND)).
fof(63, axiom,![X12]:![X6]:![X7]:s(X12,h4s_bools_cond(s(t_bool,t),s(X12,X7),s(X12,X6)))=s(X12,X7),file('i/f/HolSmt/r014', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(69, axiom,![X24]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X24))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/HolSmt/r014', ah4s_numerals_numeralu_u_lteu_c1)).
fof(74, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/HolSmt/r014', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
