# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/numpair/nsnd__npair', aHLu_TRUTH)).
fof(12, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/numpair/nsnd__npair', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(28, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,X18),file('i/f/numpair/nsnd__npair', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(29, axiom,![X19]:![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))),file('i/f/numpair/nsnd__npair', ah4s_arithmetics_ADDu_u_SYM)).
fof(34, axiom,![X19]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X19)))),file('i/f/numpair/nsnd__npair', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(35, axiom,![X20]:![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,X20)))=s(t_h4s_nums_num,X21),file('i/f/numpair/nsnd__npair', ah4s_arithmetics_ADDu_u_SUB)).
fof(36, axiom,![X17]:![X19]:![X18]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X17))),file('i/f/numpair/nsnd__npair', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(39, axiom,![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X19),file('i/f/numpair/nsnd__npair', ah4s_numerals_numeralu_u_distribu_c1)).
fof(42, axiom,![X8]:![X6]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X6))))=>s(t_h4s_nums_num,h4s_numpairs_invtri(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_numpairs_tri(s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,X8)))))=s(t_h4s_nums_num,X6)),file('i/f/numpair/nsnd__npair', ah4s_numpairs_invtriu_u_linverseu_u_r)).
fof(43, axiom,![X19]:![X18]:s(t_h4s_nums_num,h4s_numpairs_npair(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19)))=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,X18),s(t_h4s_nums_num,X19))))),s(t_h4s_nums_num,X19))),file('i/f/numpair/nsnd__npair', ah4s_numpairs_npairu_u_def)).
fof(44, axiom,![X19]:s(t_h4s_nums_num,h4s_numpairs_nsnd(s(t_h4s_nums_num,X19)))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_numpairs_tri(s(t_h4s_nums_num,h4s_numpairs_invtri(s(t_h4s_nums_num,X19))))))),file('i/f/numpair/nsnd__npair', ah4s_numpairs_nsndu_u_def)).
fof(45, conjecture,![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__npair', ch4s_numpairs_nsndu_u_npair)).
# SZS output end CNFRefutation
