# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/integer/INT__ABS__POS', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__ABS__POS', 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__POS', 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__POS', ah4s_integers_INTu_u_ABS)).
fof(8, axiom,![X9]:![X6]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X9))))<=>~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X9),s(t_h4s_integers_int,X6)))))),file('i/f/integer/INT__ABS__POS', ah4s_integers_intu_u_le0)).
fof(13, 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__POS', ah4s_integers_INTu_u_NEGu_u_GE0)).
fof(21, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/integer/INT__ABS__POS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(44, axiom,![X21]:![X22]:((p(s(t_bool,X22))=>p(s(t_bool,X21)))=>((p(s(t_bool,X21))=>p(s(t_bool,X22)))=>s(t_bool,X22)=s(t_bool,X21))),file('i/f/integer/INT__ABS__POS', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(81, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/integer/INT__ABS__POS', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(98, 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__POS', ah4s_integers_INTu_u_0)).
fof(107, axiom,![X9]:![X6]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X9))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X9))))|s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,X9))),file('i/f/integer/INT__ABS__POS', ah4s_integers_INTu_u_LEu_u_LT)).
fof(113, axiom,![X8]:![X21]:![X22]:s(X8,h4s_bools_cond(s(t_bool,t),s(X8,X22),s(X8,X21)))=s(X8,X22),file('i/f/integer/INT__ABS__POS', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(114, axiom,![X8]:![X21]:![X22]:s(X8,h4s_bools_cond(s(t_bool,f),s(X8,X22),s(X8,X21)))=s(X8,X21),file('i/f/integer/INT__ABS__POS', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(115, axiom,![X7]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/integer/INT__ABS__POS', ah4s_numerals_numeralu_u_lteu_c2)).
fof(133, conjecture,![X11]: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,X11)))))),file('i/f/integer/INT__ABS__POS', ch4s_integers_INTu_u_ABSu_u_POS)).
# SZS output end CNFRefutation
