# 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,X1),s(t_h4s_nums_num,X2))))|?[X3]:s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))),file('i/f/arithmetic/LESS__OR__EQ__ADD', ch4s_arithmetics_LESSu_u_ORu_u_EQu_u_ADD)).
fof(8, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),file('i/f/arithmetic/LESS__OR__EQ__ADD', ah4s_arithmetics_ADDu_u_COMM)).
fof(16, axiom,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))=>?[X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X2)),file('i/f/arithmetic/LESS__OR__EQ__ADD', ah4s_arithmetics_LESSu_u_ADD)).
fof(45, axiom,![X1]:![X2]:((~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))&~(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,X1),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/LESS__OR__EQ__ADD', ah4s_arithmetics_LESSu_u_CASESu_u_IMP)).
fof(54, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X1),file('i/f/arithmetic/LESS__OR__EQ__ADD', ah4s_arithmetics_ADDu_c0)).
fof(73, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LESS__OR__EQ__ADD', aHLu_TRUTH)).
fof(76, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/arithmetic/LESS__OR__EQ__ADD', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
