# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:((((p(s(t_bool,h4s_omegas_evalupper(s(t_h4s_integers_int,X1),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),X2))))&p(s(t_bool,h4s_omegas_evallower(s(t_h4s_integers_int,X1),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),X4)))))&p(s(t_bool,X5)))&p(s(t_bool,h4s_integers_intu_u_le(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,X6))),s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,X3)))))<=>((p(s(t_bool,h4s_omegas_evalupper(s(t_h4s_integers_int,X1),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),h4s_lists_cons(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_nums_num,X6),s(t_h4s_integers_int,X3))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),X2))))))&p(s(t_bool,h4s_omegas_evallower(s(t_h4s_integers_int,X1),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),X4)))))&p(s(t_bool,X5)))),file('i/f/Omega/eval__step__upper1', ch4s_Omegas_evalu_u_stepu_u_upper1)).
fof(31, axiom,![X13]:![X1]:![X29]:![X6]:(p(s(t_bool,h4s_omegas_evalupper(s(t_h4s_integers_int,X1),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),h4s_lists_cons(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_nums_num,X6),s(t_h4s_integers_int,X13))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),X29))))))<=>(p(s(t_bool,h4s_integers_intu_u_le(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,X6))),s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,X13))))&p(s(t_bool,h4s_omegas_evalupper(s(t_h4s_integers_int,X1),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),X29)))))),file('i/f/Omega/eval__step__upper1', ah4s_Omegas_evalupperu_u_defu_c1)).
fof(35, axiom,![X13]:![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X13)))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X1))),file('i/f/Omega/eval__step__upper1', ah4s_integers_INTu_u_MULu_u_COMM)).
# SZS output end CNFRefutation
