# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![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,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))<=>s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,X2)),file('i/f/arithmetic/EQ__MONO__ADD__EQ', ch4s_arithmetics_EQu_u_MONOu_u_ADDu_u_EQ)).
fof(10, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_primu_u_recs_u_3c(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,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),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))),file('i/f/arithmetic/EQ__MONO__ADD__EQ', ah4s_arithmetics_LTu_u_ADDu_u_RCANCEL)).
fof(11, axiom,![X2]:![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))),file('i/f/arithmetic/EQ__MONO__ADD__EQ', ah4s_arithmetics_ADDu_u_COMM)).
fof(29, axiom,![X2]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))))),file('i/f/arithmetic/EQ__MONO__ADD__EQ', ah4s_primu_u_recs_LESSu_u_SUCu_u_REFL)).
fof(32, axiom,![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))))))<=>(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,X3),s(t_h4s_nums_num,X2)))))),file('i/f/arithmetic/EQ__MONO__ADD__EQ', ah4s_primu_u_recs_LESSu_u_THM)).
fof(45, axiom,![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))=>~(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,X2))),file('i/f/arithmetic/EQ__MONO__ADD__EQ', ah4s_primu_u_recs_LESSu_u_NOTu_u_EQ)).
fof(47, axiom,![X2]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/EQ__MONO__ADD__EQ', ah4s_primu_u_recs_LESSu_u_REFL)).
# SZS output end CNFRefutation
