# 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_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__LE__SUB__RADD', ch4s_integers_INTu_u_LEu_u_SUBu_u_RADD)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer/INT__LE__SUB__RADD', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__LE__SUB__RADD', aHLu_FALSITY)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/integer/INT__LE__SUB__RADD', aHLu_BOOLu_CASES)).
fof(8, 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,X2),s(t_h4s_integers_int,X3))))),file('i/f/integer/INT__LE__SUB__RADD', ah4s_integers_INTu_u_NOTu_u_LT)).
fof(9, 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__LE__SUB__RADD', ah4s_integers_INTu_u_LTu_u_SUBu_u_LADD)).
# SZS output end CNFRefutation
