# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bit/NOT__MOD2__LEM', aHLu_FALSITY)).
fof(5, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/bit/NOT__MOD2__LEM', ah4s_arithmetics_MODu_u_2)).
fof(6, axiom,![X6]:(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X6))))<=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/bit/NOT__MOD2__LEM', ah4s_arithmetics_EVENu_u_MOD2)).
fof(9, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/bit/NOT__MOD2__LEM', ah4s_arithmetics_ONE)).
fof(19, axiom,![X13]:![X14]:((p(s(t_bool,X14))=>p(s(t_bool,X13)))=>((p(s(t_bool,X13))=>p(s(t_bool,X14)))=>s(t_bool,X14)=s(t_bool,X13))),file('i/f/bit/NOT__MOD2__LEM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(30, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/bit/NOT__MOD2__LEM', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(41, axiom,![X7]:~(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))),file('i/f/bit/NOT__MOD2__LEM', ah4s_arithmetics_SUCu_u_NOT)).
fof(44, axiom,![X8]:![X13]:![X14]:s(X8,h4s_bools_cond(s(t_bool,f),s(X8,X14),s(X8,X13)))=s(X8,X13),file('i/f/bit/NOT__MOD2__LEM', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(46, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/bit/NOT__MOD2__LEM', ah4s_arithmetics_TWO)).
fof(48, axiom,![X7]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))))),file('i/f/bit/NOT__MOD2__LEM', ah4s_primu_u_recs_LESSu_u_0)).
fof(90, axiom,![X7]:![X21]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X7)))))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X21))))),file('i/f/bit/NOT__MOD2__LEM', ah4s_arithmetics_NOTu_u_LESSu_u_EQUAL)).
fof(111, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/bit/NOT__MOD2__LEM', ah4s_arithmetics_ALTu_u_ZERO)).
fof(133, conjecture,![X7]:(~(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,h4s_nums_0))<=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))),file('i/f/bit/NOT__MOD2__LEM', ch4s_bits_NOTu_u_MOD2u_u_LEM)).
# SZS output end CNFRefutation
