# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X1))),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__LT0', ch4s_integers_INTu_u_ABSu_u_LT0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer/INT__ABS__LT0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__ABS__LT0', aHLu_FALSITY)).
fof(5, axiom,![X2]:![X3]:((p(s(t_bool,X3))=>p(s(t_bool,X2)))=>((p(s(t_bool,X2))=>p(s(t_bool,X3)))=>s(t_bool,X3)=s(t_bool,X2))),file('i/f/integer/INT__ABS__LT0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(8, axiom,![X5]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/integer/INT__ABS__LT0', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(9, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/integer/INT__ABS__LT0', aHLu_BOOLu_CASES)).
fof(10, axiom,![X5]: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,X5)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X5))),file('i/f/integer/INT__ABS__LT0', ah4s_integers_INTu_u_ABSu_u_NUM)).
fof(11, axiom,![X5]:![X6]: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,X6))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X5)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5))),file('i/f/integer/INT__ABS__LT0', ah4s_integers_INTu_u_LT)).
fof(12, axiom,![X1]:(?[X5]:(s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X5)))&~(s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_nums_0)))|(?[X5]:(s(t_h4s_integers_int,X1)=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,X5)))))&~(s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_nums_0)))|s(t_h4s_integers_int,X1)=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__LT0', ah4s_integers_INTu_u_NUMu_u_CASES)).
fof(13, axiom,![X1]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_integers_intu_u_neg(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__LT0', ah4s_integers_INTu_u_ABSu_u_NEG)).
# SZS output end CNFRefutation
