# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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__LT__LADD', ch4s_integers_INTu_u_LTu_u_LADD)).
fof(3, axiom,![X1]:![X2]:![X3]:(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,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))))))),file('i/f/integer/INT__LT__LADD', ah4s_integers_INTu_u_LTu_u_LADDu_u_IMP)).
fof(4, axiom,![X2]:![X3]:(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))))|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__LT__LADD', ah4s_integers_INTu_u_LTu_u_TOTAL)).
fof(5, axiom,![X3]:~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X3))))),file('i/f/integer/INT__LT__LADD', ah4s_integers_INTu_u_LTu_u_REFL)).
fof(6, axiom,![X1]:![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,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__LT__LADD', ah4s_integers_INTu_u_LTu_u_TRANS)).
fof(9, 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__LT__LADD', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
# SZS output end CNFRefutation
