# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(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,X2))))))=>~(p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))),file('i/f/bit/NOT__BIT__GT__TWOEXP', ch4s_bits_NOTu_u_BITu_u_GTu_u_TWOEXP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bit/NOT__BIT__GT__TWOEXP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bit/NOT__BIT__GT__TWOEXP', aHLu_FALSITY)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/bit/NOT__BIT__GT__TWOEXP', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X1]: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,X1)))))),file('i/f/bit/NOT__BIT__GT__TWOEXP', ah4s_bits_ZEROu_u_LTu_u_TWOEXP)).
fof(11, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/bit/NOT__BIT__GT__TWOEXP', aHLu_BOOLu_CASES)).
fof(13, axiom,![X1]:![X12]:(p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X1))))<=>s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X1)))=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__BIT__GT__TWOEXP', ah4s_bits_BITu_u_def)).
fof(14, axiom,![X1]:![X13]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X1))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X13)),file('i/f/bit/NOT__BIT__GT__TWOEXP', ah4s_arithmetics_LESSu_u_MOD)).
fof(15, axiom,![X14]:![X1]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X1))))=>s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/bit/NOT__BIT__GT__TWOEXP', ah4s_arithmetics_LESSu_u_DIVu_u_EQu_u_ZERO)).
fof(16, axiom,![X1]:(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))<=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/bit/NOT__BIT__GT__TWOEXP', ah4s_numerals_numeralu_u_distribu_c18)).
fof(17, axiom,![X1]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/bit/NOT__BIT__GT__TWOEXP', ah4s_numerals_numeralu_u_equ_c1)).
fof(18, axiom,![X1]:![X15]:![X16]:s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_div(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,X15))))),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,X16))),s(t_h4s_nums_num,X15))))))),file('i/f/bit/NOT__BIT__GT__TWOEXP', ah4s_bits_BITSu_u_THM)).
# SZS output end CNFRefutation
