# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X2))))))<=>(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1)))))))),file('i/f/integer/INT__ABS__LE_c1', ch4s_integers_INTu_u_ABSu_u_LEu_c1)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__ABS__LE_c1', aHLu_FALSITY)).
fof(7, axiom,![X3]:((p(s(t_bool,X3))=>p(s(t_bool,f)))<=>s(t_bool,X3)=s(t_bool,f)),file('i/f/integer/INT__ABS__LE_c1', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(17, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/integer/INT__ABS__LE_c1', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(38, axiom,![X8]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X8)))))=s(t_h4s_integers_int,X8),file('i/f/integer/INT__ABS__LE_c1', ah4s_integers_INTu_u_NEGNEG)).
fof(44, axiom,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_abs(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,X2),s(t_h4s_integers_int,X1))))&p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,X2)))))),file('i/f/integer/INT__ABS__LE_c1', ah4s_integers_INTu_u_ABSu_u_LEu_c0)).
fof(49, axiom,![X14]:![X8]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X14))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X14))))|s(t_h4s_integers_int,X8)=s(t_h4s_integers_int,X14))),file('i/f/integer/INT__ABS__LE_c1', ah4s_integers_INTu_u_LEu_u_LT)).
fof(50, axiom,![X14]:![X8]:(~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X14)))))<=>p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X14),s(t_h4s_integers_int,X8))))),file('i/f/integer/INT__ABS__LE_c1', ah4s_integers_INTu_u_NOTu_u_LT)).
fof(52, axiom,![X8]:p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X8)))),file('i/f/integer/INT__ABS__LE_c1', ah4s_integers_INTu_u_LEu_u_REFL)).
fof(54, axiom,![X14]:![X8]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X14)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X14),s(t_h4s_integers_int,X8))))),file('i/f/integer/INT__ABS__LE_c1', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(55, axiom,![X2]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2)))))=s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X2))),file('i/f/integer/INT__ABS__LE_c1', ah4s_integers_INTu_u_ABSu_u_NEG)).
fof(59, axiom,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_abs(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,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_neg(s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,X2)))))),file('i/f/integer/INT__ABS__LE_c1', ah4s_integers_INTu_u_ABSu_u_LTu_c0)).
fof(72, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/integer/INT__ABS__LE_c1', aHLu_BOOLu_CASES)).
fof(73, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/integer/INT__ABS__LE_c1', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
