# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(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,X2))),s(t_h4s_nums_num,X1))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_bits_log2),s(t_h4s_nums_num,X1))))))),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ch4s_bits_TWOEXPu_u_LEu_u_IMPu_u_LEu_u_LOG2u_c0)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', aHLu_FALSITY)).
fof(5, axiom,![X8]:![X9]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8)))))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X9))))),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_arithmetics_NOTu_u_LESSu_u_EQUAL)).
fof(22, axiom,![X10]:((p(s(t_bool,X10))=>p(s(t_bool,f)))<=>s(t_bool,X10)=s(t_bool,f)),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(23, axiom,![X8]:![X9]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X9))))),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_arithmetics_NOTu_u_LESS)).
fof(24, axiom,![X9]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X9)))),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(28, axiom,![X8]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X8)))),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(35, axiom,![X8]:![X9]:(s(t_h4s_nums_num,X9)=s(t_h4s_nums_num,X8)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X9)))))),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(40, axiom,![X8]:![X9]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8))))<=>?[X12]:s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X12)))),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_arithmetics_LESSu_u_EQu_u_EXISTS)).
fof(43, axiom,![X8]:![X9]:((~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8)))))&~(s(t_h4s_nums_num,X9)=s(t_h4s_nums_num,X8)))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X9))))),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_arithmetics_LESSu_u_CASESu_u_IMP)).
fof(54, axiom,![X8]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_numerals_numeralu_u_lteu_c1)).
fof(55, axiom,![X8]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_numerals_numeralu_u_distribu_c27)).
fof(57, axiom,![X8]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(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_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)))))),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_bits_ONEu_u_LEu_u_TWOEXP)).
fof(73, axiom,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2))))=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_bits_log2),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_bits_log2),s(t_h4s_nums_num,X1)))))))),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_bits_LOG2u_u_LEu_u_MONO)).
fof(74, axiom,![X8]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,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,X8)))))=s(t_h4s_nums_num,X8),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_bits_LOG2u_u_TWOEXP)).
fof(81, axiom,![X8]:![X9]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X9)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X9))),file('i/f/bit/TWOEXP__LE__IMP__LE__LOG2_c0', ah4s_numerals_numeralu_u_distribu_c22)).
# SZS output end CNFRefutation
