# 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(3, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/integer/INT__ABS__ABS', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(29, axiom,![X17]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X17)))=s(t_h4s_integers_int,h4s_bools_cond(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X17),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,X17))),s(t_h4s_integers_int,X17))),file('i/f/integer/INT__ABS__ABS', ah4s_integers_INTu_u_ABS)).
fof(31, axiom,![X1]: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,X1)))))),file('i/f/integer/INT__ABS__ABS', ah4s_integers_INTu_u_ABSu_u_POS)).
fof(33, axiom,![X3]:![X4]:(~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X3)))))<=>p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X4))))),file('i/f/integer/INT__ABS__ABS', ah4s_integers_INTu_u_NOTu_u_LT)).
fof(38, axiom,![X4]:p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X4)))),file('i/f/integer/INT__ABS__ABS', ah4s_integers_INTu_u_LEu_u_REFL)).
fof(48, axiom,![X4]:s(t_h4s_integers_int,h4s_integers_intu_u_add(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,X4)))=s(t_h4s_integers_int,X4),file('i/f/integer/INT__ABS__ABS', ah4s_integers_INTu_u_ADDu_u_LID)).
fof(57, axiom,![X3]:![X4]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X3)))))=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,X4))),file('i/f/integer/INT__ABS__ABS', ah4s_integers_INTu_u_LTu_u_ADDL)).
fof(63, axiom,![X4]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(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,X4)))=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__ABS', ah4s_integers_INTu_u_MULu_u_LZERO)).
fof(66, axiom,![X2]:![X5]:![X6]:s(X2,h4s_bools_cond(s(t_bool,f),s(X2,X6),s(X2,X5)))=s(X2,X5),file('i/f/integer/INT__ABS__ABS', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(67, axiom,![X2]:![X5]:![X6]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X6),s(X2,X5)))=s(X2,X6),file('i/f/integer/INT__ABS__ABS', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(68, axiom,![X5]:![X6]:![X21]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X21),s(t_bool,X6),s(t_bool,X5))))<=>((~(p(s(t_bool,X21)))|p(s(t_bool,X6)))&(p(s(t_bool,X21))|p(s(t_bool,X5))))),file('i/f/integer/INT__ABS__ABS', ah4s_bools_CONDu_u_EXPAND)).
# SZS output end CNFRefutation
