# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![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,X1))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))<=>(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,X1)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/EXP__EXP__LE__MONO', ch4s_arithmetics_EXPu_u_EXPu_u_LEu_u_MONO)).
fof(4, axiom,![X1]:(~(s(t_h4s_nums_num,X1)=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,X1))))),file('i/f/arithmetic/EXP__EXP__LE__MONO', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(30, axiom,![X1]:![X19]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X1))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X1))))|s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,X1))),file('i/f/arithmetic/EXP__EXP__LE__MONO', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(31, axiom,![X1]:![X19]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X1))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X19))))),file('i/f/arithmetic/EXP__EXP__LE__MONO', ah4s_arithmetics_LESSu_u_CASES)).
fof(32, axiom,![X1]:![X19]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X19))))),file('i/f/arithmetic/EXP__EXP__LE__MONO', ah4s_arithmetics_NOTu_u_LESSu_u_EQUAL)).
fof(36, axiom,![X1]:![X19]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),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,X1)))))=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,X19)),file('i/f/arithmetic/EXP__EXP__LE__MONO', ah4s_arithmetics_LESSu_u_EQUALu_u_ANTISYM)).
fof(42, axiom,![X1]:![X19]:(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X19)))=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,X1)=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)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/EXP__EXP__LE__MONO', ah4s_arithmetics_EXPu_u_EQu_u_1)).
fof(44, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(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))))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/EXP__EXP__LE__MONO', ah4s_arithmetics_EXPu_u_EXPu_u_LTu_u_MONO)).
fof(57, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/arithmetic/EXP__EXP__LE__MONO', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(59, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/EXP__EXP__LE__MONO', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
