# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))=>s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))),file('i/f/logroot/EXP__LE__ISO', ch4s_logroots_EXPu_u_LEu_u_ISO)).
fof(3, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/logroot/EXP__LE__ISO', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(32, axiom,![X19]:![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X19))))))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))|s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/logroot/EXP__LE__ISO', ah4s_arithmetics_EXPu_u_EXPu_u_LEu_u_MONO)).
fof(34, axiom,![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_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19))))|s(t_h4s_nums_num,X20)=s(t_h4s_nums_num,X19))),file('i/f/logroot/EXP__LE__ISO', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(39, 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/logroot/EXP__LE__ISO', ah4s_numerals_numeralu_u_distribu_c27)).
fof(41, 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/logroot/EXP__LE__ISO', ah4s_numerals_numeralu_u_lteu_c1)).
fof(60, axiom,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,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/logroot/EXP__LE__ISO', ah4s_arithmetics_ONE)).
fof(61, axiom,![X19]:(~(s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X19))))),file('i/f/logroot/EXP__LE__ISO', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(63, axiom,![X19]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/logroot/EXP__LE__ISO', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(64, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/logroot/EXP__LE__ISO', ah4s_numerals_numeralu_u_sucu_c0)).
fof(75, axiom,![X19]:~(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19)))),file('i/f/logroot/EXP__LE__ISO', ah4s_arithmetics_SUCu_u_NOT)).
# SZS output end CNFRefutation
