# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))))=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X1))))),file('i/f/integer/INT__LET__TRANS', ch4s_integers_INTu_u_LETu_u_TRANS)).
fof(7, axiom,![X21]:![X22]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X22),s(t_h4s_integers_int,X21)))=s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_integers_int,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_integers_intu_u_rep),s(t_h4s_integers_int,X22))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_integers_int,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_integers_intu_u_rep),s(t_h4s_integers_int,X21))))),file('i/f/integer/INT__LET__TRANS', ah4s_integers_intu_u_lt0)).
fof(8, axiom,![X2]:![X3]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2))))|s(t_h4s_integers_int,X3)=s(t_h4s_integers_int,X2))),file('i/f/integer/INT__LET__TRANS', ah4s_integers_INTu_u_LEu_u_LT)).
fof(20, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X3),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X2))))&p(s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X2),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1)))))=>p(s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X3),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1))))),file('i/f/integer/INT__LET__TRANS', ah4s_integers_TINTu_u_LTu_u_TRANS)).
# SZS output end CNFRefutation
