# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X2))))))&(p(s(t_bool,h4s_bools_cond(s(t_bool,h4s_integers_intu_u_lt(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,X3))),s(t_bool,h4s_integers_intu_u_le(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,X1))),s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))))&?[X4]:s(t_h4s_integers_int,X3)=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,X4),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X1)))))=>s(t_h4s_integers_int,h4s_integers_intu_u_rem(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,X1)),file('i/f/integer/INT__REM__UNIQUE', ch4s_integers_INTu_u_REMu_u_UNIQUE)).
fof(3, axiom,![X8]:![X9]:(~(s(t_h4s_integers_int,X8)=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_rem(s(t_h4s_integers_int,X9),s(t_h4s_integers_int,X8)))=s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X9),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_quot(s(t_h4s_integers_int,X9),s(t_h4s_integers_int,X8))),s(t_h4s_integers_int,X8)))))),file('i/f/integer/INT__REM__UNIQUE', ah4s_integers_intu_u_rem0)).
fof(4, axiom,![X6]:![X7]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X6)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X7))),file('i/f/integer/INT__REM__UNIQUE', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(26, axiom,![X2]:![X3]:![X4]:(?[X1]:(s(t_h4s_integers_int,X3)=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,X4),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X1)))&(p(s(t_bool,h4s_bools_cond(s(t_bool,h4s_integers_intu_u_lt(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,X3))),s(t_bool,h4s_integers_intu_u_le(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,X1))),s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X2))))))))=>s(t_h4s_integers_int,h4s_integers_intu_u_quot(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,X4)),file('i/f/integer/INT__REM__UNIQUE', ah4s_integers_INTu_u_QUOTu_u_UNIQUE)).
fof(27, axiom,![X3]:~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X3))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/integer/INT__REM__UNIQUE', ah4s_integers_INTu_u_ABSu_u_LT0)).
fof(28, axiom,![X21]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X21)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X21))),file('i/f/integer/INT__REM__UNIQUE', ah4s_integers_INTu_u_ABSu_u_NUM)).
fof(29, axiom,![X22]:![X6]:![X7]:(s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X6)))=s(t_h4s_integers_int,X22)<=>s(t_h4s_integers_int,X7)=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X22),s(t_h4s_integers_int,X6)))),file('i/f/integer/INT__REM__UNIQUE', ah4s_integers_INTu_u_EQu_u_SUBu_u_RADD)).
# SZS output end CNFRefutation
