# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/integer/INT__ABS__NEG', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__ABS__NEG', 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__NEG', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X7)))=s(t_h4s_integers_int,h4s_bools_cond(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),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_neg(s(t_h4s_integers_int,X7))),s(t_h4s_integers_int,X7))),file('i/f/integer/INT__ABS__NEG', ah4s_integers_INTu_u_ABS)).
fof(6, axiom,![X8]: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_abs(s(t_h4s_integers_int,X8)))))),file('i/f/integer/INT__ABS__NEG', ah4s_integers_INTu_u_ABSu_u_POS)).
fof(14, axiom,![X9]:![X11]:![X12]:s(X9,h4s_bools_cond(s(t_bool,f),s(X9,X12),s(X9,X11)))=s(X9,X11),file('i/f/integer/INT__ABS__NEG', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(16, 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__NEG', ah4s_integers_INTu_u_NEGNEG)).
fof(37, axiom,![X10]:![X6]:(~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X10)))))<=>p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X6))))),file('i/f/integer/INT__ABS__NEG', ah4s_integers_INTu_u_NOTu_u_LT)).
fof(45, axiom,![X9]:![X11]:![X12]:s(X9,h4s_bools_cond(s(t_bool,t),s(X9,X12),s(X9,X11)))=s(X9,X12),file('i/f/integer/INT__ABS__NEG', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(62, axiom,![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(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,X6)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X6))),file('i/f/integer/INT__ABS__NEG', ah4s_integers_INTu_u_SUBu_u_LZERO)).
fof(63, axiom,![X8]:(s(t_h4s_integers_int,X8)=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X8)))<=>s(t_h4s_integers_int,X8)=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__NEG', ah4s_integers_INTu_u_NEGu_u_SAMEu_u_EQ)).
fof(64, axiom,![X10]:![X6]:((p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X10))))&p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X6)))))<=>s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,X10)),file('i/f/integer/INT__ABS__NEG', ah4s_integers_INTu_u_LEu_u_ANTISYM)).
fof(95, axiom,s(t_h4s_integers_int,h4s_integers_intu_u_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__NEG', ah4s_integers_INTu_u_0)).
fof(104, axiom,![X6]: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_neg(s(t_h4s_integers_int,X6)))))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),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__NEG', ah4s_integers_INTu_u_NEGu_u_GE0)).
fof(133, conjecture,![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__NEG', ch4s_integers_INTu_u_ABSu_u_NEG)).
# SZS output end CNFRefutation
