# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/numpair/tri__11', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/numpair/tri__11', aHLu_FALSITY)).
fof(15, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/numpair/tri__11', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(17, axiom,![X1]:((p(s(t_bool,X1))=>p(s(t_bool,f)))<=>s(t_bool,X1)=s(t_bool,f)),file('i/f/numpair/tri__11', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(36, axiom,![X19]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X19))))),file('i/f/numpair/tri__11', ah4s_primu_u_recs_LESSu_u_REFL)).
fof(37, axiom,![X20]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X20)))=s(t_h4s_nums_num,X20),file('i/f/numpair/tri__11', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(38, axiom,![X19]:![X20]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),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,X20))),file('i/f/numpair/tri__11', ah4s_arithmetics_ADDu_u_SYM)).
fof(39, axiom,![X19]:![X20]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X20))))),file('i/f/numpair/tri__11', ah4s_arithmetics_NOTu_u_LESS)).
fof(41, axiom,![X18]:![X19]:![X20]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X18))))),file('i/f/numpair/tri__11', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(43, axiom,![X18]:![X19]:![X20]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X18)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))),file('i/f/numpair/tri__11', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(44, axiom,![X19]:![X20]:(~(s(t_h4s_nums_num,X20)=s(t_h4s_nums_num,X19))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,X19))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,X20)))))),file('i/f/numpair/tri__11', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(45, axiom,![X19]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19)))=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,X19))),file('i/f/numpair/tri__11', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(46, axiom,![X19]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/numpair/tri__11', ah4s_numerals_numeralu_u_distribu_c27)).
fof(47, axiom,![X19]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/numpair/tri__11', ah4s_numerals_numeralu_u_lteu_c1)).
fof(48, axiom,![X19]:![X20]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X20))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_numpairs_tri(s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,h4s_numpairs_tri(s(t_h4s_nums_num,X20))))))),file('i/f/numpair/tri__11', ah4s_numpairs_triu_u_LTu_u_I)).
fof(49, conjecture,![X19]:![X20]:(s(t_h4s_nums_num,h4s_numpairs_tri(s(t_h4s_nums_num,X20)))=s(t_h4s_nums_num,h4s_numpairs_tri(s(t_h4s_nums_num,X19)))<=>s(t_h4s_nums_num,X20)=s(t_h4s_nums_num,X19)),file('i/f/numpair/tri__11', ch4s_numpairs_triu_u_11)).
# SZS output end CNFRefutation
