# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_numpairs_nfst(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X1)))),file('i/f/numpair/nfst__le', ch4s_numpairs_nfstu_u_le)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/numpair/nfst__le', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/numpair/nfst__le', aHLu_FALSITY)).
fof(11, axiom,![X3]:((p(s(t_bool,X3))=>p(s(t_bool,f)))<=>s(t_bool,X3)=s(t_bool,f)),file('i/f/numpair/nfst__le', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(13, axiom,![X10]:![X1]:![X11]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X1))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X10)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))))),file('i/f/numpair/nfst__le', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(15, axiom,![X1]:![X11]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X11))),file('i/f/numpair/nfst__le', ah4s_arithmetics_ADDu_u_SYM)).
fof(18, axiom,![X10]:![X1]:![X11]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X10))),file('i/f/numpair/nfst__le', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(21, axiom,![X10]:![X1]:![X11]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X10)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X10))))),file('i/f/numpair/nfst__le', ah4s_arithmetics_SUBu_u_RIGHTu_u_LESSu_u_EQ)).
fof(24, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_numpairs_tri(s(t_h4s_nums_num,h4s_numpairs_invtri(s(t_h4s_nums_num,X1))))),s(t_h4s_nums_num,X1)))),file('i/f/numpair/nfst__le', ah4s_numpairs_invtriu_u_lower)).
fof(25, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_numpairs_invtri(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X1)))),file('i/f/numpair/nfst__le', ah4s_numpairs_invtriu_u_le)).
fof(26, axiom,![X1]:s(t_h4s_nums_num,h4s_numpairs_nfst(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_numpairs_tri(s(t_h4s_nums_num,h4s_numpairs_invtri(s(t_h4s_nums_num,X1))))),s(t_h4s_nums_num,h4s_numpairs_invtri(s(t_h4s_nums_num,X1))))),s(t_h4s_nums_num,X1))),file('i/f/numpair/nfst__le', ah4s_numpairs_nfstu_u_def)).
fof(27, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/numpair/nfst__le', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
