# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/integer/INT__ABS__LE_c3', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__ABS__LE_c3', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/integer/INT__ABS__LE_c3', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:![X8]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X8))))))<=>(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X8))))|p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X7)))))))),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_INTu_u_ABSu_u_LEu_c1)).
fof(6, axiom,![X7]:![X8]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X8))))),s(t_h4s_integers_int,X7))))<=>(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X7))),s(t_h4s_integers_int,X8))))|p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X7)))))),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_INTu_u_ABSu_u_LEu_c2)).
fof(9, axiom,![X7]:![X8]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X8))))))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X7))))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X8)))))),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_INTu_u_ABSu_u_LTu_c3)).
fof(10, axiom,![X7]:![X8]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X8))))),s(t_h4s_integers_int,X7))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X7))),s(t_h4s_integers_int,X8))))|p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X7)))))),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_INTu_u_ABSu_u_LTu_c2)).
fof(12, axiom,![X6]: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,X6)))))=s(t_h4s_integers_int,X6),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_INTu_u_NEGNEG)).
fof(13, axiom,![X8]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X8)))))=s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X8))),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_INTu_u_ABSu_u_NEG)).
fof(16, axiom,![X7]:![X8]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X8))),s(t_h4s_integers_int,X7))))<=>(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X7))))&p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X7))),s(t_h4s_integers_int,X8)))))),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_INTu_u_ABSu_u_LEu_c0)).
fof(18, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/integer/INT__ABS__LE_c3', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(27, axiom,![X1]:((p(s(t_bool,X1))=>p(s(t_bool,f)))<=>s(t_bool,X1)=s(t_bool,f)),file('i/f/integer/INT__ABS__LE_c3', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(37, axiom,![X7]:![X8]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X8))),s(t_h4s_integers_int,X7))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X7))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X7))),s(t_h4s_integers_int,X8)))))),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_INTu_u_ABSu_u_LTu_c0)).
fof(38, axiom,![X7]:![X8]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X8))))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X8))))|p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X7)))))))),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_INTu_u_ABSu_u_LTu_c1)).
fof(48, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/integer/INT__ABS__LE_c3', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(74, axiom,![X8]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X8)))))=s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X8))),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_INTu_u_ABSu_u_ABS)).
fof(76, axiom,![X18]:![X6]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X18))))<=>~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X18),s(t_h4s_integers_int,X6)))))),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_intu_u_le0)).
fof(91, axiom,![X18]:![X6]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X18))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X18))))|s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,X18))),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_INTu_u_LEu_u_LT)).
fof(101, axiom,![X18]:![X6]:(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X6)))=s(t_h4s_integers_int,X18)<=>s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X18)))),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_INTu_u_NEGu_u_EQ)).
fof(112, axiom,![X6]:p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X6)))),file('i/f/integer/INT__ABS__LE_c3', ah4s_integers_INTu_u_LEu_u_REFL)).
fof(133, conjecture,![X7]:![X8]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X8))))))))<=>(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X7))))))&p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X8)))))),file('i/f/integer/INT__ABS__LE_c3', ch4s_integers_INTu_u_ABSu_u_LEu_c3)).
# SZS output end CNFRefutation
