# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),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,h4s_nums_0),s(t_h4s_nums_num,X2))))|s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/ZERO__LT__EXP', ch4s_arithmetics_ZEROu_u_LTu_u_EXP)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/ZERO__LT__EXP', aHLu_FALSITY)).
fof(23, axiom,![X13]:(~(s(t_h4s_nums_num,X13)=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,X13))))),file('i/f/arithmetic/ZERO__LT__EXP', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(24, axiom,![X13]:![X14]:(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_nums_0)<=>(s(t_h4s_nums_num,X13)=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,X14)))))),file('i/f/arithmetic/ZERO__LT__EXP', ah4s_arithmetics_EXPu_u_EQu_u_0)).
fof(25, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/arithmetic/ZERO__LT__EXP', aHLu_BOOLu_CASES)).
fof(26, axiom,p(s(t_bool,t)),file('i/f/arithmetic/ZERO__LT__EXP', aHLu_TRUTH)).
fof(28, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/arithmetic/ZERO__LT__EXP', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
