# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(7, axiom,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_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/MULT__EQ__ID', ah4s_arithmetics_ONE)).
fof(12, axiom,![X13]: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,X13)))=s(t_h4s_nums_num,X13),file('i/f/arithmetic/MULT__EQ__ID', ah4s_arithmetics_MULTu_u_LEFTu_u_1)).
fof(19, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/MULT__EQ__ID', ah4s_arithmetics_ALTu_u_ZERO)).
fof(21, 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/arithmetic/MULT__EQ__ID', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(36, axiom,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,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/arithmetic/MULT__EQ__ID', ah4s_arithmetics_TWO)).
fof(39, axiom,![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/MULT__EQ__ID', ah4s_arithmetics_MULTu_u_0)).
fof(43, axiom,![X13]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,X13),file('i/f/arithmetic/MULT__EQ__ID', ah4s_primu_u_recs_PRE0u_c1)).
fof(46, axiom,![X13]:(s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_nums_0)|?[X10]:s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))),file('i/f/arithmetic/MULT__EQ__ID', ah4s_arithmetics_numu_u_CASES)).
fof(68, axiom,![X10]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/arithmetic/MULT__EQ__ID', ah4s_nums_NOTu_u_SUC)).
fof(101, axiom,![X14]:![X10]:![X13]:(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))))<=>s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,X13)),file('i/f/arithmetic/MULT__EQ__ID', ah4s_arithmetics_MULTu_u_SUCu_u_EQ)).
fof(133, conjecture,![X10]:![X13]:(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,X10)<=>(s(t_h4s_nums_num,X13)=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,X10)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/MULT__EQ__ID', ch4s_arithmetics_MULTu_u_EQu_u_ID)).
# SZS output end CNFRefutation
