# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_bits_log2(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,X1),file('i/f/bit/LOG2__TWOEXP', ch4s_bits_LOG2u_u_TWOEXP)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bit/LOG2__TWOEXP', aHLu_FALSITY)).
fof(5, axiom,![X3]:((p(s(t_bool,X3))=>p(s(t_bool,f)))<=>s(t_bool,X3)=s(t_bool,f)),file('i/f/bit/LOG2__TWOEXP', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(6, axiom,![X1]:![X5]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X5))))),file('i/f/bit/LOG2__TWOEXP', ah4s_arithmetics_NOTu_u_LESS)).
fof(7, axiom,![X5]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X5)))),file('i/f/bit/LOG2__TWOEXP', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(8, axiom,![X1]:![X5]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X5))),file('i/f/bit/LOG2__TWOEXP', ah4s_numerals_numeralu_u_distribu_c22)).
fof(9, axiom,![X1]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/bit/LOG2__TWOEXP', ah4s_numerals_numeralu_u_ltu_c2)).
fof(10, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/bit/LOG2__TWOEXP', ah4s_numerals_numeralu_u_lteu_c1)).
fof(11, axiom,![X1]:![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X5))),file('i/f/bit/LOG2__TWOEXP', ah4s_arithmetics_ADDu_u_SYM)).
fof(12, axiom,![X6]:![X1]:![X5]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X6)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X6))),file('i/f/bit/LOG2__TWOEXP', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(14, axiom,![X7]:(p(s(t_bool,h4s_primu_u_recs_u_3c(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,X7))))=>![X1]:![X5]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1)))),file('i/f/bit/LOG2__TWOEXP', ah4s_arithmetics_EXPu_u_BASEu_u_LTu_u_MONO)).
fof(15, axiom,![X6]:![X1]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(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))),s(t_h4s_nums_num,X1))))&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,h4s_nums_suc(s(t_h4s_nums_num,X6)))))))))=>s(t_h4s_nums_num,h4s_bits_log2(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X6)),file('i/f/bit/LOG2__TWOEXP', ah4s_bits_LOG2u_u_UNIQUE)).
fof(16, axiom,![X1]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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,X1))),file('i/f/bit/LOG2__TWOEXP', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(17, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/bit/LOG2__TWOEXP', ah4s_numerals_numeralu_u_distribu_c27)).
fof(18, axiom,![X1]:![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X5))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1)))))),file('i/f/bit/LOG2__TWOEXP', ah4s_numerals_numeralu_u_ltu_c5)).
fof(19, axiom,p(s(t_bool,t)),file('i/f/bit/LOG2__TWOEXP', aHLu_TRUTH)).
fof(22, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/bit/LOG2__TWOEXP', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(23, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/bit/LOG2__TWOEXP', aHLu_BOOLu_CASES)).
fof(24, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,X5),file('i/f/bit/LOG2__TWOEXP', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
