# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_primu_u_recs_u_3c(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))))=>![X2]:![X3]:(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3)))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X3))),file('i/f/arithmetic/EXP__BASE__INJECTIVE', ch4s_arithmetics_EXPu_u_BASEu_u_INJECTIVE)).
fof(24, axiom,![X3]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X3)))),file('i/f/arithmetic/EXP__BASE__INJECTIVE', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(25, axiom,![X2]:![X3]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))&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,X2)=s(t_h4s_nums_num,X3)),file('i/f/arithmetic/EXP__BASE__INJECTIVE', ah4s_arithmetics_LESSu_u_EQUALu_u_ANTISYM)).
fof(26, axiom,![X1]:(p(s(t_bool,h4s_primu_u_recs_u_3c(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))))=>![X2]:![X3]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))),file('i/f/arithmetic/EXP__BASE__INJECTIVE', ah4s_arithmetics_EXPu_u_BASEu_u_LEu_u_MONO)).
fof(28, axiom,p(s(t_bool,t)),file('i/f/arithmetic/EXP__BASE__INJECTIVE', aHLu_TRUTH)).
fof(30, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/arithmetic/EXP__BASE__INJECTIVE', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
