# 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,t)),file('i/f/int_arith/positive__product__implication', aHLu_TRUTH)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/int_arith/positive__product__implication', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X12]:![X13]:(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,X13),s(t_h4s_integers_int,X12))))))<=>((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,X13))))&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,X12)))))|(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X13),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,X12),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(12, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/int_arith/positive__product__implication', aHLu_BOOLu_CASES)).
fof(13, axiom,~(p(s(t_bool,f))),file('i/f/int_arith/positive__product__implication', aHLu_FALSITY)).
# SZS output end CNFRefutation
