# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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__POS', ch4s_integers_INTu_u_ABSu_u_POS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer/INT__ABS__POS', aHLu_TRUTH)).
fof(4, 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__POS', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(7, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/integer/INT__ABS__POS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X13]:![X14]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X14),s(t_h4s_integers_int,X13))))=>~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X14)))))),file('i/f/integer/INT__ABS__POS', ah4s_integers_INTu_u_LTu_u_GT)).
fof(13, axiom,![X14]:p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X14),s(t_h4s_integers_int,X14)))),file('i/f/integer/INT__ABS__POS', ah4s_integers_INTu_u_LEu_u_REFL)).
fof(14, axiom,![X13]:![X14]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X14),s(t_h4s_integers_int,X13))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X14),s(t_h4s_integers_int,X13))))|s(t_h4s_integers_int,X14)=s(t_h4s_integers_int,X13))),file('i/f/integer/INT__ABS__POS', ah4s_integers_INTu_u_LEu_u_LT)).
fof(15, axiom,![X19]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X19)))=s(t_h4s_integers_int,h4s_bools_cond(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X19),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,X19))),s(t_h4s_integers_int,X19))),file('i/f/integer/INT__ABS__POS', ah4s_integers_INTu_u_ABS)).
fof(17, axiom,![X14]: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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X14)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X14),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_GT0)).
fof(18, axiom,![X14]:(s(t_h4s_integers_int,X14)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))|(p(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,X14))))|p(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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X14)))))))),file('i/f/integer/INT__ABS__POS', ah4s_integers_INTu_u_LTu_u_NEGTOTAL)).
fof(23, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/integer/INT__ABS__POS', aHLu_BOOLu_CASES)).
fof(24, axiom,![X7]:![X2]:![X3]:s(X7,h4s_bools_cond(s(t_bool,t),s(X7,X3),s(X7,X2)))=s(X7,X3),file('i/f/integer/INT__ABS__POS', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(33, axiom,![X7]:![X2]:![X3]:s(X7,h4s_bools_cond(s(t_bool,f),s(X7,X3),s(X7,X2)))=s(X7,X2),file('i/f/integer/INT__ABS__POS', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(36, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__ABS__POS', aHLu_FALSITY)).
# SZS output end CNFRefutation
