# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3)))=s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2)))<=>s(t_h4s_nums_num,h4s_bits_slice(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_bits_slice(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2)))),file('i/f/bit/BIT__SLICE', ch4s_bits_BITu_u_SLICE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bit/BIT__SLICE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bit/BIT__SLICE', aHLu_FALSITY)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/bit/BIT__SLICE', aHLu_BOOLu_CASES)).
fof(6, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/bit/BIT__SLICE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(16, axiom,![X4]:(s(t_bool,t)=s(t_bool,X4)<=>p(s(t_bool,X4))),file('i/f/bit/BIT__SLICE', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(17, axiom,![X4]:(s(t_bool,f)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/bit/BIT__SLICE', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(20, 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/BIT__SLICE', ah4s_numerals_numeralu_u_distribu_c18)).
fof(21, axiom,![X1]:![X13]:![X14]:s(t_h4s_nums_num,h4s_bits_slice(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13),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,X13))))),file('i/f/bit/BIT__SLICE', ah4s_bits_SLICEu_u_THM)).
fof(22, axiom,![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/bit/BIT__SLICE', ah4s_arithmetics_MULTu_u_0)).
fof(23, axiom,![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X15),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,X15),file('i/f/bit/BIT__SLICE', ah4s_arithmetics_MULTu_u_RIGHTu_u_1)).
fof(26, axiom,![X1]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X15))),file('i/f/bit/BIT__SLICE', ah4s_arithmetics_MULTu_u_COMM)).
fof(28, 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/BIT__SLICE', ah4s_numerals_numeralu_u_equ_c1)).
fof(29, axiom,![X1]:![X3]:(~(s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3)))=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_bits_bits(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/bit/BIT__SLICE', ah4s_bits_NOTu_u_BITS2)).
fof(30, axiom,![X1]:![X2]:(p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))<=>s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X2),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/BIT__SLICE', ah4s_bits_BITu_u_def)).
fof(31, 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/BIT__SLICE', ah4s_bits_ZEROu_u_LTu_u_TWOEXP)).
fof(32, axiom,![X1]:(~(s(t_h4s_nums_num,X1)=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,X1))))),file('i/f/bit/BIT__SLICE', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
# SZS output end CNFRefutation
