# 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_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_c1', ch4s_integers_INTu_u_ABSu_u_LTu_c1)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__ABS__LT_c1', 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_c1', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(17, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/integer/INT__ABS__LT_c1', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(24, axiom,![X12]:![X8]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X12))))=>~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X8)))))),file('i/f/integer/INT__ABS__LT_c1', ah4s_integers_INTu_u_LTu_u_GT)).
fof(41, 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_c1', ah4s_integers_INTu_u_ABSu_u_LTu_c0)).
fof(43, axiom,![X12]:![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,X12)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X8))),file('i/f/integer/INT__ABS__LT_c1', ah4s_integers_INTu_u_LTu_u_NEG)).
fof(46, axiom,![X12]:![X8]:(~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X12)))))<=>p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X8))))),file('i/f/integer/INT__ABS__LT_c1', ah4s_integers_INTu_u_NOTu_u_LT)).
fof(47, axiom,![X12]:![X8]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X12))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X12))))|s(t_h4s_integers_int,X8)=s(t_h4s_integers_int,X12))),file('i/f/integer/INT__ABS__LT_c1', ah4s_integers_INTu_u_LEu_u_LT)).
fof(49, axiom,![X12]:![X8]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X12)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X8))))),file('i/f/integer/INT__ABS__LT_c1', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(54, 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_c1', ah4s_integers_INTu_u_ABSu_u_NEG)).
fof(61, axiom,s(t_h4s_integers_int,h4s_integers_intu_u_neg(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,h4s_nums_0))),file('i/f/integer/INT__ABS__LT_c1', ah4s_integers_INTu_u_NEGu_u_0)).
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_c1', ah4s_integers_INTu_u_NEGNEG)).
fof(68, axiom,![X2]:(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,X2)<=>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,X2))))),file('i/f/integer/INT__ABS__LT_c1', ah4s_integers_INTu_u_ABSu_u_EQu_u_ID)).
fof(74, 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__LT_c1', ah4s_integers_INTu_u_LEu_u_REFL)).
fof(76, 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_c1', aHLu_BOOLu_CASES)).
fof(77, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/integer/INT__ABS__LT_c1', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
