# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(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,X1))),s(t_h4s_integers_int,X2))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_integers_num(s(t_h4s_integers_int,X2))))))),file('i/f/integer/LE__NUM__OF__INT', ch4s_integers_LEu_u_NUMu_u_OFu_u_INT)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer/LE__NUM__OF__INT', aHLu_FALSITY)).
fof(20, axiom,![X9]:![X10]:![X11]:((p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X10))))&p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X9)))))=>p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X9))))),file('i/f/integer/LE__NUM__OF__INT', ah4s_integers_INTu_u_LEu_u_TRANS)).
fof(21, axiom,![X1]:![X12]: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,X12))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X1))),file('i/f/integer/LE__NUM__OF__INT', ah4s_integers_INTu_u_LE)).
fof(22, axiom,![X2]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_integers_num(s(t_h4s_integers_int,X2)))))=s(t_h4s_integers_int,X2)<=>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,X2))))),file('i/f/integer/LE__NUM__OF__INT', ah4s_integers_INTu_u_OFu_u_NUM)).
fof(23, 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_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))),file('i/f/integer/LE__NUM__OF__INT', ah4s_integers_INTu_u_POS)).
fof(24, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/integer/LE__NUM__OF__INT', aHLu_BOOLu_CASES)).
fof(25, axiom,p(s(t_bool,t)),file('i/f/integer/LE__NUM__OF__INT', aHLu_TRUTH)).
fof(27, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/integer/LE__NUM__OF__INT', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
