# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(28, axiom,![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X6)))=s(t_h4s_integers_int,X6),file('i/f/int_arith/INT__LINEAR__GCD', ah4s_integers_INTu_u_ADDu_u_LID)).
fof(30, axiom,![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(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_integers_int,X6)))=s(t_h4s_integers_int,X6),file('i/f/int_arith/INT__LINEAR__GCD', ah4s_integers_INTu_u_MULu_u_LID)).
fof(31, axiom,![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/int_arith/INT__LINEAR__GCD', ah4s_integers_INTu_u_MULu_u_RZERO)).
fof(32, axiom,![X19]:![X20]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X20))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X19)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19))))),file('i/f/int_arith/INT__LINEAR__GCD', ah4s_integers_INTu_u_ADD)).
fof(33, axiom,![X19]:![X20]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X20))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X19)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19))))),file('i/f/int_arith/INT__LINEAR__GCD', ah4s_integers_INTu_u_MULu_u_CALCULATEu_c0)).
fof(34, axiom,![X10]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X6))),s(t_h4s_integers_int,X10)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X10))))),file('i/f/int_arith/INT__LINEAR__GCD', ah4s_integers_INTu_u_MULu_u_CALCULATEu_c1)).
fof(35, axiom,![X21]:![X22]:s(t_h4s_nums_num,h4s_gcds_gcd(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21)))=s(t_h4s_nums_num,h4s_gcds_gcd(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X22))),file('i/f/int_arith/INT__LINEAR__GCD', ah4s_gcds_GCDu_u_SYM)).
fof(37, axiom,![X22]:s(t_h4s_nums_num,h4s_gcds_gcd(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X22)))=s(t_h4s_nums_num,X22),file('i/f/int_arith/INT__LINEAR__GCD', ah4s_gcds_GCDu_u_0L)).
fof(38, axiom,![X19]:![X20]:(~(s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,h4s_nums_0))=>?[X18]:?[X17]: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_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,h4s_gcds_gcd(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19)))))),file('i/f/int_arith/INT__LINEAR__GCD', ah4s_gcds_LINEARu_u_GCD)).
fof(39, axiom,![X23]:![X10]:![X6]:(s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X23)))<=>s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X10)))))=s(t_h4s_integers_int,X23)),file('i/f/int_arith/INT__LINEAR__GCD', ah4s_intu_u_ariths_equ_u_moveu_u_leftu_u_left)).
fof(40, conjecture,![X19]:![X20]:?[X18]:?[X17]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X18),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X19))))),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X17),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X20)))))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_gcds_gcd(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X20))))),file('i/f/int_arith/INT__LINEAR__GCD', ch4s_intu_u_ariths_INTu_u_LINEARu_u_GCD)).
# SZS output end CNFRefutation
