# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X1)))))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))),file('i/f/integer/INT__LE__LADD', ch4s_integers_INTu_u_LEu_u_LADD)).
fof(7, axiom,![X10]:![X11]:((p(s(t_bool,X11))=>p(s(t_bool,X10)))=>((p(s(t_bool,X10))=>p(s(t_bool,X11)))=>s(t_bool,X11)=s(t_bool,X10))),file('i/f/integer/INT__LE__LADD', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(26, 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,X2),s(t_h4s_integers_int,X3)))))),file('i/f/integer/INT__LE__LADD', ah4s_integers_intu_u_le0)).
fof(27, 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__LE__LADD', ah4s_integers_INTu_u_LEu_u_LT)).
fof(31, axiom,![X3]:p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X3)))),file('i/f/integer/INT__LE__LADD', ah4s_integers_INTu_u_LEu_u_REFL)).
fof(34, 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,X2),s(t_h4s_integers_int,X3))))),file('i/f/integer/INT__LE__LADD', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(50, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X1)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))),file('i/f/integer/INT__LE__LADD', ah4s_integers_INTu_u_LTu_u_LADD)).
fof(64, axiom,![X2]:![X3]:~((p(s(t_bool,h4s_integers_intu_u_lt(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,X3)))))),file('i/f/integer/INT__LE__LADD', ah4s_integers_INTu_u_LTu_u_ANTISYM)).
# SZS output end CNFRefutation
