# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/numpair/nsnd__le', aHLu_TRUTH)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/numpair/nsnd__le', aHLu_BOOLu_CASES)).
fof(7, axiom,![X8]:![X6]:s(t_h4s_nums_num,h4s_numpairs_nsnd(s(t_h4s_nums_num,h4s_numpairs_npair(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X8)))))=s(t_h4s_nums_num,X8),file('i/f/numpair/nsnd__le', ah4s_numpairs_nsndu_u_npair)).
fof(11, axiom,![X7]:?[X6]:?[X8]:s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,h4s_numpairs_npair(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X8))),file('i/f/numpair/nsnd__le', ah4s_numpairs_npairu_u_cases)).
fof(13, axiom,![X7]:![X10]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X10))),file('i/f/numpair/nsnd__le', ah4s_arithmetics_ADDu_u_SYM)).
fof(44, axiom,![X7]:![X10]:s(t_h4s_nums_num,h4s_numpairs_npair(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_numpairs_tri(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X7))))),s(t_h4s_nums_num,X7))),file('i/f/numpair/nsnd__le', ah4s_numpairs_npairu_u_def)).
fof(68, axiom,![X7]:![X10]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X7))))<=>?[X11]:s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11)))),file('i/f/numpair/nsnd__le', ah4s_arithmetics_LESSu_u_EQu_u_EXISTS)).
fof(84, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/numpair/nsnd__le', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(133, conjecture,![X7]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_numpairs_nsnd(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X7)))),file('i/f/numpair/nsnd__le', ch4s_numpairs_nsndu_u_le)).
# SZS output end CNFRefutation
