# 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_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=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)))))),file('i/f/logroot/EXP__LT__ISO', ch4s_logroots_EXPu_u_LTu_u_ISO)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/logroot/EXP__LT__ISO', aHLu_FALSITY)).
fof(3, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/logroot/EXP__LT__ISO', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(23, axiom,![X1]:![X16]:![X17]:((p(s(t_bool,X17))<=>s(t_bool,X16)=s(t_bool,X1))<=>((p(s(t_bool,X17))|(p(s(t_bool,X16))|p(s(t_bool,X1))))&((p(s(t_bool,X17))|(~(p(s(t_bool,X1)))|~(p(s(t_bool,X16)))))&((p(s(t_bool,X16))|(~(p(s(t_bool,X1)))|~(p(s(t_bool,X17)))))&(p(s(t_bool,X1))|(~(p(s(t_bool,X16)))|~(p(s(t_bool,X17))))))))),file('i/f/logroot/EXP__LT__ISO', ah4s_sats_dcu_u_eq)).
fof(33, axiom,![X18]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/logroot/EXP__LT__ISO', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(35, axiom,![X18]:![X19]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))))|s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,X18))),file('i/f/logroot/EXP__LT__ISO', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(36, axiom,![X18]:![X19]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))))),file('i/f/logroot/EXP__LT__ISO', ah4s_arithmetics_NOTu_u_LESS)).
fof(37, axiom,![X18]:![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,X18))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X18))))))<=>(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,X18)))))),file('i/f/logroot/EXP__LT__ISO', ah4s_arithmetics_EXPu_u_EXPu_u_LTu_u_MONO)).
fof(39, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/logroot/EXP__LT__ISO', aHLu_BOOLu_CASES)).
fof(44, axiom,p(s(t_bool,t)),file('i/f/logroot/EXP__LT__ISO', aHLu_TRUTH)).
fof(48, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/logroot/EXP__LT__ISO', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
