# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3))))=>(~(p(s(t_bool,happ(s(t_fun(t_bool,t_bool),happ(s(t_fun(t_bool,t_fun(t_bool,t_bool)),X2),s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X5))))),s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X4)))))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_bits_bitwise(s(t_h4s_nums_num,X3),s(t_fun(t_bool,t_fun(t_bool,t_bool)),X2),s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))),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,X1))))),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/BITWISE__NOT__COR', ch4s_bits_BITWISEu_u_NOTu_u_COR)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bit/BITWISE__NOT__COR', aHLu_TRUTH)).
fof(8, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X3),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,X3),file('i/f/bit/BITWISE__NOT__COR', ah4s_arithmetics_EXPu_u_1u_c1)).
fof(9, axiom,![X3]:(~(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X3),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,X3),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/BITWISE__NOT__COR', ah4s_bits_NOTu_u_MOD2u_u_LEM)).
fof(10, axiom,![X3]:![X4]:(p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))))<=>s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3)))=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/BITWISE__NOT__COR', ah4s_bits_BITu_u_def)).
fof(11, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X5)))=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/BITWISE__NOT__COR', ah4s_bits_SUCu_u_SUB)).
fof(12, axiom,![X3]:![X13]:![X14]:s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X3),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,X13))))),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,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,X13))))))),file('i/f/bit/BITWISE__NOT__COR', ah4s_bits_BITSu_u_THM)).
fof(13, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3))))=>s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_bits_bitwise(s(t_h4s_nums_num,X3),s(t_fun(t_bool,t_fun(t_bool,t_bool)),X2),s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))))=s(t_bool,happ(s(t_fun(t_bool,t_bool),happ(s(t_fun(t_bool,t_fun(t_bool,t_bool)),X2),s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X5))))),s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X4)))))),file('i/f/bit/BITWISE__NOT__COR', ah4s_bits_BITWISEu_u_THM)).
fof(14, axiom,~(p(s(t_bool,f))),file('i/f/bit/BITWISE__NOT__COR', aHLu_FALSITY)).
fof(15, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/bit/BITWISE__NOT__COR', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
