# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X1)))))=s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X1))),file('i/f/integer/INT__ABS__ABS', ch4s_integers_INTu_u_ABSu_u_ABS)).
fof(22, axiom,![X13]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X13)))=s(t_h4s_integers_int,h4s_bools_cond(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X13),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,X13))),s(t_h4s_integers_int,X13))),file('i/f/integer/INT__ABS__ABS', ah4s_integers_INTu_u_ABS)).
fof(23, axiom,![X13]:s(t_h4s_integers_int,h4s_integers_abs(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,X13))),file('i/f/integer/INT__ABS__ABS', ah4s_integers_INTu_u_ABSu_u_NUM)).
fof(24, axiom,![X6]:![X7]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X6))))=>~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X7)))))),file('i/f/integer/INT__ABS__ABS', ah4s_integers_INTu_u_LTu_u_GT)).
fof(25, axiom,![X6]:![X7]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X6)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X7))))),file('i/f/integer/INT__ABS__ABS', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(26, axiom,![X7]: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,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_bool,h4s_integers_intu_u_lt(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,X7))),file('i/f/integer/INT__ABS__ABS', ah4s_integers_INTu_u_NEGu_u_LT0)).
fof(27, axiom,![X14]:(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,X14))))=>?[X13]:s(t_h4s_integers_int,X14)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X13)))),file('i/f/integer/INT__ABS__ABS', ah4s_integers_NUMu_u_POSINTu_u_EXISTS)).
fof(28, axiom,p(s(t_bool,t)),file('i/f/integer/INT__ABS__ABS', aHLu_TRUTH)).
fof(31, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/integer/INT__ABS__ABS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(32, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/integer/INT__ABS__ABS', aHLu_BOOLu_CASES)).
fof(33, axiom,![X5]:![X2]:![X3]:s(X5,h4s_bools_cond(s(t_bool,f),s(X5,X3),s(X5,X2)))=s(X5,X2),file('i/f/integer/INT__ABS__ABS', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(34, axiom,![X5]:![X2]:![X3]:s(X5,h4s_bools_cond(s(t_bool,t),s(X5,X3),s(X5,X2)))=s(X5,X3),file('i/f/integer/INT__ABS__ABS', ah4s_bools_CONDu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
