# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X3))))&p(s(t_bool,h4s_integers_intu_u_le(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,h4s_integers_intu_u_add(s(t_h4s_integers_int,X4),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))))))),file('i/f/integer/INT__LTE__ADD2', ch4s_integers_INTu_u_LTEu_u_ADD2)).
fof(2, 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__LTE__ADD2', ah4s_integers_intu_u_le0)).
fof(5, 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__LTE__ADD2', ah4s_integers_INTu_u_LEu_u_LT)).
fof(16, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/integer/INT__LTE__ADD2', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(17, 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__LTE__ADD2', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(19, 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_le(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__LTE__ADD2', ah4s_integers_INTu_u_LTu_u_LE)).
fof(22, axiom,![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_le(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))))=>p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X1))))),file('i/f/integer/INT__LTE__ADD2', ah4s_integers_INTu_u_LEu_u_TRANS)).
fof(28, 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_le(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X3)))))<=>s(t_h4s_integers_int,X3)=s(t_h4s_integers_int,X2)),file('i/f/integer/INT__LTE__ADD2', ah4s_integers_INTu_u_LEu_u_ANTISYM)).
fof(45, axiom,![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__LTE__ADD2', ah4s_integers_INTu_u_LEu_u_LADD)).
fof(46, axiom,![X2]:![X3]: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,X2),s(t_h4s_integers_int,X3))),file('i/f/integer/INT__LTE__ADD2', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(49, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))))=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,X1))),s(t_h4s_integers_int,X2))),file('i/f/integer/INT__LTE__ADD2', ah4s_integers_INTu_u_LTu_u_SUBu_u_LADD)).
fof(62, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X1)))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2))))),file('i/f/integer/INT__LTE__ADD2', ah4s_integers_INTu_u_LEu_u_SUBu_u_RADD)).
fof(63, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))))=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,X1))),s(t_h4s_integers_int,X2))),file('i/f/integer/INT__LTE__ADD2', ah4s_integers_INTu_u_LEu_u_SUBu_u_LADD)).
# SZS output end CNFRefutation
