# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', 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/numeral_bit/NUMERAL__BIT__REV_c2', aHLu_BOOLu_CASES)).
fof(17, axiom,![X8]:![X9]:![X10]:s(X8,h4s_bools_cond(s(t_bool,f),s(X8,X10),s(X8,X9)))=s(X8,X9),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(22, axiom,![X17]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,X17),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_arithmetics_ADDu_c0)).
fof(23, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(24, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_arithmetics_ALTu_u_ZERO)).
fof(26, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X18),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_arithmetics_ADDu_u_0)).
fof(28, axiom,![X18]: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,X18)))=s(t_h4s_nums_num,X18),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_arithmetics_MULTu_u_LEFTu_u_1)).
fof(30, axiom,![X19]:![X17]:![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,X19)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X19))))),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_arithmetics_RIGHTu_u_ADDu_u_DISTRIB)).
fof(31, axiom,![X17]:s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_arithmetics_DIV2u_u_def)).
fof(32, axiom,![X20]:![X17]:![X21]:(?[X22]:(s(t_h4s_nums_num,X21)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,X22)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X17)))))=>s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,X20)),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_arithmetics_DIVu_u_UNIQUE)).
fof(34, axiom,![X17]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X17)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X17))),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_numerals_numeralu_u_sucu_c1)).
fof(37, axiom,![X17]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_numerals_numeralu_u_distribu_c3)).
fof(41, axiom,~(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_numerals_numeralu_u_distribu_c34)).
fof(42, axiom,![X17]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,X17),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_numerals_numeralu_u_addu_c1)).
fof(43, axiom,![X17]:![X18]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X18)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X18))))))),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_numerals_numeralu_u_addu_c2)).
fof(44, axiom,![X17]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X17)))))=s(t_bool,t),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_numerals_numeralu_u_ltu_c1)).
fof(45, axiom,![X6]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X6))),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_numerals_iDUB0)).
fof(46, axiom,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_0)))=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/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_numerals_TWOu_u_EXPu_u_THMu_c0)).
fof(47, axiom,![X17]:![X23]:s(t_h4s_nums_num,h4s_bits_sbit(s(t_bool,X23),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,X23),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,X17))),s(t_h4s_nums_num,h4s_nums_0))),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_bits_SBITu_u_def)).
fof(49, axiom,![X12]:![X6]:![X17]:s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_rev(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_rev(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X6),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_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(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))),s(t_h4s_nums_num,h4s_bits_sbit(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ah4s_numeralu_u_bits_BITu_u_REVu_u_defu_c1)).
fof(50, conjecture,![X12]:![X17]:s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_rev(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X17))))),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_rev(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X17))))),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X12))))),file('i/f/numeral_bit/NUMERAL__BIT__REV_c2', ch4s_numeralu_u_bits_NUMERALu_u_BITu_u_REVu_c2)).
# SZS output end CNFRefutation
