# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_abs(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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2)))))),file('i/f/integer/INT__ABS__LT_c3', ch4s_integers_INTu_u_ABSu_u_LTu_c3)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__ABS__LT_c3', aHLu_FALSITY)).
fof(8, axiom,![X5]:((p(s(t_bool,X5))=>p(s(t_bool,f)))<=>s(t_bool,X5)=s(t_bool,f)),file('i/f/integer/INT__ABS__LT_c3', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(15, axiom,![X11]:![X1]:![X2]:((p(s(t_bool,X2))<=>s(t_bool,X1)=s(t_bool,X11))<=>((p(s(t_bool,X2))|(p(s(t_bool,X1))|p(s(t_bool,X11))))&((p(s(t_bool,X2))|(~(p(s(t_bool,X11)))|~(p(s(t_bool,X1)))))&((p(s(t_bool,X1))|(~(p(s(t_bool,X11)))|~(p(s(t_bool,X2)))))&(p(s(t_bool,X11))|(~(p(s(t_bool,X1)))|~(p(s(t_bool,X2))))))))),file('i/f/integer/INT__ABS__LT_c3', ah4s_sats_dcu_u_eq)).
fof(33, 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_lt(s(t_h4s_integers_int,X14),s(t_h4s_integers_int,X8)))))),file('i/f/integer/INT__ABS__LT_c3', ah4s_integers_INTu_u_LTu_u_GT)).
fof(40, axiom,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_lt(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_lt(s(t_h4s_integers_int,X1),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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1)))))))),file('i/f/integer/INT__ABS__LT_c3', ah4s_integers_INTu_u_ABSu_u_LTu_c1)).
fof(41, axiom,![X1]:![X2]:(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,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))))|p(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__ABS__LT_c3', ah4s_integers_INTu_u_ABSu_u_LTu_c2)).
fof(43, 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__LT_c3', ah4s_integers_INTu_u_ABSu_u_LTu_c0)).
fof(50, axiom,![X14]:![X8]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X8))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X14)))))=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__LT_c3', ah4s_integers_INTu_u_LTu_u_NEG)).
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__LT_c3', ah4s_integers_INTu_u_ABSu_u_NEG)).
fof(61, axiom,![X2]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_integers_abs(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__LT_c3', ah4s_integers_INTu_u_ABSu_u_ABS)).
fof(64, 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__LT_c3', ah4s_integers_INTu_u_NEGNEG)).
fof(66, axiom,![X12]:![X13]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X13))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X12)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))),file('i/f/integer/INT__ABS__LT_c3', ah4s_integers_INTu_u_LE)).
fof(69, axiom,![X12]:p(s(t_bool,h4s_integers_intu_u_le(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,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X12)))))),file('i/f/integer/INT__ABS__LT_c3', ah4s_integers_INTu_u_POS)).
fof(77, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/integer/INT__ABS__LT_c3', aHLu_BOOLu_CASES)).
fof(78, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/integer/INT__ABS__LT_c3', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
