# 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_nsnd(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X1)))),file('i/f/numpair/nsnd__le', ch4s_numpairs_nsndu_u_le)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/numpair/nsnd__le', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/numpair/nsnd__le', aHLu_FALSITY)).
fof(6, axiom,![X1]:![X3]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X1)))),file('i/f/numpair/nsnd__le', ah4s_arithmetics_SUBu_u_LESSu_u_EQ)).
fof(7, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/numpair/nsnd__le', aHLu_BOOLu_CASES)).
fof(8, axiom,![X1]:s(t_h4s_nums_num,h4s_numpairs_nsnd(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_numpairs_tri(s(t_h4s_nums_num,h4s_numpairs_invtri(s(t_h4s_nums_num,X1))))))),file('i/f/numpair/nsnd__le', ah4s_numpairs_nsndu_u_def)).
# SZS output end CNFRefutation
