# 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,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__LE__SUB__LADD', ch4s_integers_INTu_u_LEu_u_SUBu_u_LADD)).
fof(4, 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__LE__SUB__LADD', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(7, 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__LE__SUB__LADD', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(16, 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__SUB__LADD', ah4s_integers_intu_u_le0)).
fof(25, 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__SUB__LADD', ah4s_integers_INTu_u_NOTu_u_LE)).
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__SUB__LADD', ah4s_integers_INTu_u_LEu_u_LT)).
fof(31, 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__LE__SUB__LADD', ah4s_integers_INTu_u_LEu_u_ANTISYM)).
fof(32, 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__LE__SUB__LADD', ah4s_integers_INTu_u_LTu_u_LE)).
fof(36, 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__SUB__LADD', ah4s_integers_INTu_u_LEu_u_REFL)).
fof(39, axiom,![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X3)))=s(t_h4s_integers_int,X3),file('i/f/integer/INT__LE__SUB__LADD', ah4s_integers_INTu_u_ADDu_u_LID)).
fof(41, axiom,![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X3)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer/INT__LE__SUB__LADD', ah4s_integers_INTu_u_SUBu_u_REFL)).
fof(45, 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__LADD', ah4s_integers_INTu_u_LTu_u_SUBu_u_LADD)).
fof(47, axiom,![X2]:![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),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,X3),file('i/f/integer/INT__LE__SUB__LADD', ah4s_integers_INTu_u_SUBu_u_ADD2)).
fof(54, axiom,![X2]:![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(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,X3)))=s(t_h4s_integers_int,X2),file('i/f/integer/INT__LE__SUB__LADD', ah4s_integers_INTu_u_ADDu_u_SUB)).
fof(62, axiom,![X2]:![X3]:s(t_bool,h4s_integers_intu_u_lt(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,X2)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X3))),file('i/f/integer/INT__LE__SUB__LADD', ah4s_integers_INTu_u_LTu_u_ADDL)).
fof(75, axiom,p(s(t_bool,t)),file('i/f/integer/INT__LE__SUB__LADD', aHLu_TRUTH)).
fof(79, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/integer/INT__LE__SUB__LADD', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
