# 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,X1),s(t_h4s_nums_num,X2))))))<=>(~(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))|s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/float/EXP__LT__0', ch4s_floats_EXPu_u_LTu_u_0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/float/EXP__LT__0', aHLu_TRUTH)).
fof(9, axiom,![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/float/EXP__LT__0', ah4s_arithmetics_LEu_c0)).
fof(10, axiom,![X2]:![X8]:(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_nums_0)<=>(s(t_h4s_nums_num,X2)=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,X8)))))),file('i/f/float/EXP__LT__0', ah4s_arithmetics_EXPu_u_EQu_u_0)).
fof(11, axiom,![X2]:![X8]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X2)))))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X8))))),file('i/f/float/EXP__LT__0', ah4s_arithmetics_NOTu_u_LESSu_u_EQUAL)).
fof(12, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/float/EXP__LT__0', aHLu_BOOLu_CASES)).
fof(13, axiom,~(p(s(t_bool,f))),file('i/f/float/EXP__LT__0', aHLu_FALSITY)).
# SZS output end CNFRefutation
