# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X1),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)))))),file('i/f/bit/BIT__B', ch4s_bits_BITu_u_B)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bit/BIT__B', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bit/BIT__B', aHLu_FALSITY)).
fof(8, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/bit/BIT__B', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X5]:![X6]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,X6)),file('i/f/bit/BIT__B', ah4s_arithmetics_LESSu_u_MOD)).
fof(10, axiom,![X5]:![X7]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,h4s_arithmetics_bit2(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,X5)))))),file('i/f/bit/BIT__B', ah4s_numerals_numeralu_u_ltu_c5)).
fof(11, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/bit/BIT__B', aHLu_BOOLu_CASES)).
fof(12, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_exp(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)))))))=s(t_h4s_nums_num,X5),file('i/f/bit/BIT__B', ah4s_arithmetics_EXPu_u_1u_c1)).
fof(13, axiom,![X5]:![X7]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X7)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X7))),file('i/f/bit/BIT__B', ah4s_numerals_numeralu_u_distribu_c22)).
fof(14, axiom,![X5]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/bit/BIT__B', ah4s_numerals_numeralu_u_ltu_c2)).
fof(15, axiom,![X5]:![X1]:(p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X5))))<=>s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1),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/BIT__B', ah4s_bits_BITu_u_def)).
fof(16, axiom,![X5]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),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,X5)))))),file('i/f/bit/BIT__B', ah4s_bits_ZEROu_u_LTu_u_TWOEXP)).
fof(17, axiom,![X5]:![X8]:![X9]:s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X5),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,X8))))),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,X9))),s(t_h4s_nums_num,X8))))))),file('i/f/bit/BIT__B', ah4s_bits_BITSu_u_THM)).
fof(18, axiom,![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X5))))=>(s(t_h4s_nums_num,h4s_arithmetics_div(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)))))&s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/bit/BIT__B', ah4s_arithmetics_DIVMODu_u_ID)).
fof(19, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,X10)))=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/BIT__B', ah4s_bits_SUCu_u_SUB)).
# SZS output end CNFRefutation
