# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),file('i/f/arithmetic/LESS__EQ__MONO', ch4s_arithmetics_LESSu_u_EQu_u_MONO)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LESS__EQ__MONO', aHLu_TRUTH)).
fof(6, axiom,![X1]:![X2]:(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1)),file('i/f/arithmetic/LESS__EQ__MONO', ah4s_primu_u_recs_INVu_u_SUCu_u_EQ)).
fof(7, axiom,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(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,X2),s(t_h4s_nums_num,X1))))|s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1))),file('i/f/arithmetic/LESS__EQ__MONO', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(8, axiom,![X1]:![X2]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/arithmetic/LESS__EQ__MONO', ah4s_arithmetics_LESSu_u_MONOu_u_EQ)).
fof(9, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/LESS__EQ__MONO', aHLu_FALSITY)).
fof(10, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/arithmetic/LESS__EQ__MONO', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
