# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(X1,h4s_totos_cpnu_u_case(s(t_h4s_totos_cpn,h4s_totos_less),s(X1,X4),s(X1,X3),s(X1,X2)))=s(X1,X4),file('i/f/toto/cpn__case__def_c0', ch4s_totos_cpnu_u_caseu_u_defu_c0)).
fof(24, axiom,![X1]:![X9]:![X2]:![X3]:![X4]:?[X27]:((p(s(t_bool,X27))<=>s(t_h4s_nums_num,h4s_totos_cpn2num(s(t_h4s_totos_cpn,X9)))=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(X1,h4s_totos_cpnu_u_case(s(t_h4s_totos_cpn,X9),s(X1,X4),s(X1,X3),s(X1,X2)))=s(X1,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_totos_cpn2num(s(t_h4s_totos_cpn,X9))),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(X1,X4),s(X1,h4s_bools_cond(s(t_bool,X27),s(X1,X3),s(X1,X2)))))),file('i/f/toto/cpn__case__def_c0', ah4s_totos_cpnu_u_CASE0)).
fof(25, axiom,s(t_h4s_totos_cpn,h4s_totos_less)=s(t_h4s_totos_cpn,h4s_totos_num2cpn(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/toto/cpn__case__def_c0', ah4s_totos_LESSu_u_def)).
fof(28, axiom,![X28]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X28),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))<=>s(t_h4s_nums_num,h4s_totos_cpn2num(s(t_h4s_totos_cpn,h4s_totos_num2cpn(s(t_h4s_nums_num,X28)))))=s(t_h4s_nums_num,X28)),file('i/f/toto/cpn__case__def_c0', ah4s_totos_cpn2numu_u_num2cpn)).
fof(32, axiom,![X29]:?[X28]:(s(t_h4s_totos_cpn,X29)=s(t_h4s_totos_cpn,h4s_totos_num2cpn(s(t_h4s_nums_num,X28)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X28),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))),file('i/f/toto/cpn__case__def_c0', ah4s_totos_num2cpnu_u_ONTO)).
fof(34, axiom,![X28]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X28),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))<=>?[X29]:s(t_h4s_nums_num,X28)=s(t_h4s_nums_num,h4s_totos_cpn2num(s(t_h4s_totos_cpn,X29)))),file('i/f/toto/cpn__case__def_c0', ah4s_totos_cpn2numu_u_ONTO)).
fof(38, axiom,p(s(t_bool,t)),file('i/f/toto/cpn__case__def_c0', aHLu_TRUTH)).
fof(65, axiom,![X1]:![X10]:![X11]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X11),s(X1,X10)))=s(X1,X11),file('i/f/toto/cpn__case__def_c0', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(74, axiom,![X39]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X39)))))=s(t_bool,t),file('i/f/toto/cpn__case__def_c0', ah4s_numerals_numeralu_u_ltu_c0)).
fof(75, axiom,![X39]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X39)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X39))),file('i/f/toto/cpn__case__def_c0', ah4s_numerals_numeralu_u_distribu_c21)).
# SZS output end CNFRefutation
