# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:![X8]:(p(s(t_bool,h4s_bits_modu_u_2expu_u_max(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X8))))<=>s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_exp(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,X7))),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/numeral_bit/MOD__2EXP__MAX_c0', ah4s_bits_MODu_u_2EXPu_u_MAXu_u_def)).
fof(12, axiom,![X1]:(s(t_bool,t)=s(t_bool,X1)<=>p(s(t_bool,X1))),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(14, axiom,![X13]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X13),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_0),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', ah4s_arithmetics_MODu_u_1)).
fof(15, axiom,![X6]:![X7]:s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_exp(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,X6))))),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', ah4s_bits_MODu_u_2EXPu_u_def)).
fof(25, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', ah4s_arithmetics_ALTu_u_ZERO)).
fof(35, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', ah4s_arithmetics_SUBu_u_0u_c0)).
fof(41, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(68, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X10),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/numeral_bit/MOD__2EXP__MAX_c0', ah4s_arithmetics_EXP0u_c0)).
fof(72, axiom,s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', ah4s_primu_u_recs_PRE0u_c0)).
fof(96, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', ah4s_numerals_numeralu_u_sucu_c0)).
fof(102, axiom,![X7]:![X10]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X10))),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', ah4s_arithmetics_SUBu_u_MONOu_u_EQ)).
fof(109, axiom,![X10]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X10)))),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(110, axiom,![X7]:![X10]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_nums_0)<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X7))))),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', ah4s_arithmetics_SUBu_u_EQu_u_0)).
fof(133, conjecture,![X8]:s(t_bool,h4s_bits_modu_u_2expu_u_max(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X8)))=s(t_bool,t),file('i/f/numeral_bit/MOD__2EXP__MAX_c0', ch4s_numeralu_u_bits_MODu_u_2EXPu_u_MAXu_c0)).
# SZS output end CNFRefutation
