# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/bag/NOT__BAG__IN', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/NOT__BAG__IN', 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/bag/NOT__BAG__IN', aHLu_BOOLu_CASES)).
fof(44, axiom,![X7]:![X10]:![X12]:s(t_bool,h4s_bags_bagu_u_in(s(X7,X10),s(t_fun(X7,t_h4s_nums_num),X12)))=s(t_bool,h4s_bags_bagu_u_inn(s(X7,X10),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_fun(X7,t_h4s_nums_num),X12))),file('i/f/bag/NOT__BAG__IN', ah4s_bags_BAGu_u_IN0)).
fof(45, axiom,![X7]:![X31]:![X10]:![X12]:s(t_bool,h4s_bags_bagu_u_inn(s(X7,X10),s(t_h4s_nums_num,X31),s(t_fun(X7,t_h4s_nums_num),X12)))=s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,happ(s(t_fun(X7,t_h4s_nums_num),X12),s(X7,X10))),s(t_h4s_nums_num,X31))),file('i/f/bag/NOT__BAG__IN', ah4s_bags_BAGu_u_INN0)).
fof(46, axiom,![X31]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X31))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X31),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/bag/NOT__BAG__IN', ah4s_numerals_numeralu_u_distribu_c27)).
fof(47, axiom,![X31]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X31),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X31),file('i/f/bag/NOT__BAG__IN', ah4s_numerals_numeralu_u_distribu_c1)).
fof(48, axiom,![X31]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X31)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X31))),file('i/f/bag/NOT__BAG__IN', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(49, axiom,![X31]:![X32]:(~(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X32),s(t_h4s_nums_num,X31)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X32))),s(t_h4s_nums_num,X31))))),file('i/f/bag/NOT__BAG__IN', ah4s_arithmetics_NOTu_u_GREATERu_u_EQ)).
fof(51, axiom,![X31]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X31)))),file('i/f/bag/NOT__BAG__IN', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(55, axiom,![X1]:((p(s(t_bool,X1))=>p(s(t_bool,f)))<=>s(t_bool,X1)=s(t_bool,f)),file('i/f/bag/NOT__BAG__IN', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(59, axiom,![X7]:![X6]:![X12]:s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_bags_setu_u_ofu_u_bag(s(t_fun(X7,t_h4s_nums_num),X12)))))=s(t_bool,h4s_bags_bagu_u_in(s(X7,X6),s(t_fun(X7,t_h4s_nums_num),X12))),file('i/f/bag/NOT__BAG__IN', ah4s_bags_INu_u_SETu_u_OFu_u_BAG)).
fof(61, axiom,![X31]:![X32]:s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X31),s(t_h4s_nums_num,X32)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X32),s(t_h4s_nums_num,X31))),file('i/f/bag/NOT__BAG__IN', ah4s_arithmetics_GREATERu_u_EQ)).
fof(87, axiom,![X31]:![X32]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X32),s(t_h4s_nums_num,X31)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X31))),s(t_h4s_nums_num,X32))))),file('i/f/bag/NOT__BAG__IN', ah4s_arithmetics_NOTu_u_LEQ)).
fof(97, axiom,![X31]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X31))))<=>s(t_h4s_nums_num,X31)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/bag/NOT__BAG__IN', ah4s_numerals_numeralu_u_distribu_c30)).
fof(99, axiom,![X31]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X31)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X31)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/bag/NOT__BAG__IN', ah4s_numerals_numeralu_u_distribu_c17)).
fof(121, axiom,![X31]:![X32]:(s(t_h4s_nums_num,X32)=s(t_h4s_nums_num,X31)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X32),s(t_h4s_nums_num,X31))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X31),s(t_h4s_nums_num,X32)))))),file('i/f/bag/NOT__BAG__IN', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(130, axiom,![X32]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X32)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/bag/NOT__BAG__IN', ah4s_arithmetics_SUBu_u_0u_c0)).
fof(133, conjecture,![X7]:![X6]:![X12]:(s(t_h4s_nums_num,happ(s(t_fun(X7,t_h4s_nums_num),X12),s(X7,X6)))=s(t_h4s_nums_num,h4s_nums_0)<=>~(p(s(t_bool,h4s_bags_bagu_u_in(s(X7,X6),s(t_fun(X7,t_h4s_nums_num),X12)))))),file('i/f/bag/NOT__BAG__IN', ch4s_bags_NOTu_u_BAGu_u_IN)).
# SZS output end CNFRefutation
