# 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,X1))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/SUB__LESS', ch4s_arithmetics_SUBu_u_LESS)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/SUB__LESS', aHLu_FALSITY)).
fof(23, axiom,![X1]:(~(s(t_h4s_nums_num,X1)=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,X1))))),file('i/f/arithmetic/SUB__LESS', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(24, axiom,![X1]:![X2]:(~(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))=>p(s(t_bool,h4s_primu_u_recs_u_3c(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,X1))))))),file('i/f/arithmetic/SUB__LESS', ah4s_arithmetics_LESSu_u_ADDu_u_NONZERO)).
fof(25, 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/SUB__LESS', ah4s_arithmetics_ADDu_u_SYM)).
fof(26, axiom,![X14]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,X15),file('i/f/arithmetic/SUB__LESS', ah4s_arithmetics_ADDu_u_SUB)).
fof(27, axiom,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))<=>?[X10]: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,X10)))),file('i/f/arithmetic/SUB__LESS', ah4s_arithmetics_LESSu_u_EQu_u_EXISTS)).
fof(28, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/arithmetic/SUB__LESS', aHLu_BOOLu_CASES)).
fof(29, axiom,p(s(t_bool,t)),file('i/f/arithmetic/SUB__LESS', aHLu_TRUTH)).
fof(31, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/arithmetic/SUB__LESS', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
