# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(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,X2))))&p(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,X1)))))=>p(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,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))))),file('i/f/int_arith/positive__product__implication', ch4s_intu_u_ariths_positiveu_u_productu_u_implication)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/int_arith/positive__product__implication', aHLu_FALSITY)).
fof(3, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/int_arith/positive__product__implication', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(26, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/int_arith/positive__product__implication', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(43, axiom,![X9]:![X10]:(p(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,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X9))))))<=>((p(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,X10))))&p(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,X9)))))|(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X10),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,X9),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/positive__product__implication', ah4s_integers_INTu_u_MULu_u_SIGNu_u_CASESu_c0)).
fof(50, axiom,![X15]:![X13]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X15))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X15))))|s(t_h4s_integers_int,X13)=s(t_h4s_integers_int,X15))),file('i/f/int_arith/positive__product__implication', ah4s_integers_INTu_u_LEu_u_LT)).
fof(60, axiom,![X15]:![X13]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X15)))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X15),s(t_h4s_integers_int,X13))),file('i/f/int_arith/positive__product__implication', ah4s_integers_INTu_u_MULu_u_COMM)).
fof(65, axiom,![X19]:(p(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,X19))))=>?[X16]:s(t_h4s_integers_int,X19)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X16)))),file('i/f/int_arith/positive__product__implication', ah4s_integers_NUMu_u_POSINTu_u_EXISTS)).
# SZS output end CNFRefutation
