# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/bit/BIT__SLICE__THM2', aHLu_TRUTH)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/bit/BIT__SLICE__THM2', aHLu_BOOLu_CASES)).
fof(7, axiom,![X6]:![X10]:s(t_h4s_nums_num,h4s_bits_sbit(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_bits_slice(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X10))),file('i/f/bit/BIT__SLICE__THM2', ah4s_bits_BITu_u_SLICEu_u_THM)).
fof(9, axiom,![X10]:![X12]:(p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X10))))<=>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,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__SLICE__THM2', ah4s_bits_BITu_u_def)).
fof(11, axiom,![X10]:![X15]:![X16]:s(t_h4s_nums_num,h4s_bits_slice(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(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,X10))),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))))),file('i/f/bit/BIT__SLICE__THM2', ah4s_bits_SLICEu_u_THM)).
fof(19, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(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,X14)))=s(t_h4s_nums_num,X14),file('i/f/bit/BIT__SLICE__THM2', ah4s_arithmetics_MULTu_u_LEFTu_u_1)).
fof(34, axiom,![X10]: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,X10)))))),file('i/f/bit/BIT__SLICE__THM2', ah4s_bits_ZEROu_u_LTu_u_TWOEXP)).
fof(39, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/bit/BIT__SLICE__THM2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(41, axiom,![X7]:![X21]:![X22]:s(X7,h4s_bools_cond(s(t_bool,f),s(X7,X22),s(X7,X21)))=s(X7,X21),file('i/f/bit/BIT__SLICE__THM2', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(44, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,X14),file('i/f/bit/BIT__SLICE__THM2', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(48, axiom,![X10]:(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X10)))<=>s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/bit/BIT__SLICE__THM2', ah4s_numerals_numeralu_u_distribu_c18)).
fof(54, axiom,![X10]:(~(s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X10))))),file('i/f/bit/BIT__SLICE__THM2', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(59, axiom,![X10]:![X12]:s(t_h4s_nums_num,h4s_bits_sbit(s(t_bool,X12),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,X12),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,X10))),s(t_h4s_nums_num,h4s_nums_0))),file('i/f/bit/BIT__SLICE__THM2', ah4s_bits_SBITu_u_def)).
fof(86, axiom,![X10]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/bit/BIT__SLICE__THM2', ah4s_numerals_numeralu_u_distribu_c27)).
fof(97, axiom,![X31]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X31),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_nums_0),file('i/f/bit/BIT__SLICE__THM2', ah4s_arithmetics_MODu_u_1)).
fof(98, axiom,![X10]:![X14]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X10)))))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X14))))),file('i/f/bit/BIT__SLICE__THM2', ah4s_arithmetics_NOTu_u_LESSu_u_EQUAL)).
fof(100, axiom,![X10]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X10)))),file('i/f/bit/BIT__SLICE__THM2', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(106, axiom,![X14]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),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__SLICE__THM2', ah4s_arithmetics_ADD1)).
fof(133, conjecture,![X10]:![X12]:(p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X10))))<=>s(t_h4s_nums_num,h4s_bits_slice(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X10)))=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,X12)))),file('i/f/bit/BIT__SLICE__THM2', ch4s_bits_BITu_u_SLICEu_u_THM2)).
# SZS output end CNFRefutation
