# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))))))=>~(p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))))))),file('i/f/bit/BIT__OF__BITS__THM2', ch4s_bits_BITu_u_OFu_u_BITSu_u_THM2)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bit/BIT__OF__BITS__THM2', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bit/BIT__OF__BITS__THM2', aHLu_FALSITY)).
fof(10, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/bit/BIT__OF__BITS__THM2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(16, axiom,![X2]:![X13]:(p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X2))))<=>s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X2)))=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__OF__BITS__THM2', ah4s_bits_BITu_u_def)).
fof(17, axiom,![X2]:![X3]:![X4]:(p(s(t_bool,h4s_primu_u_recs_u_3c(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,X3),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/bit/BIT__OF__BITS__THM2', ah4s_bits_BITSu_u_ZERO)).
fof(18, axiom,![X2]:![X14]:![X15]:![X16]:![X17]:s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X2)))))=s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15))))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X2))),file('i/f/bit/BIT__OF__BITS__THM2', ah4s_bits_BITSu_u_COMPu_u_THM2)).
fof(19, axiom,![X2]:![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X18))),file('i/f/bit/BIT__OF__BITS__THM2', ah4s_arithmetics_ADDu_u_COMM)).
fof(21, axiom,![X19]:![X2]:![X18]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X19))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))))|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X19)))))),file('i/f/bit/BIT__OF__BITS__THM2', ah4s_arithmetics_MINu_u_LTu_c0)).
fof(22, axiom,![X2]:(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2)))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/bit/BIT__OF__BITS__THM2', ah4s_numerals_numeralu_u_distribu_c18)).
fof(23, axiom,![X2]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/bit/BIT__OF__BITS__THM2', ah4s_numerals_numeralu_u_equ_c1)).
# SZS output end CNFRefutation
