# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(15, axiom,![X10]:![X11]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))))|s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,X10))),file('i/f/arithmetic/LESS__EQ__SUB__LESS', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(16, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/LESS__EQ__SUB__LESS', ah4s_arithmetics_ONE)).
fof(17, axiom,![X11]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X11),file('i/f/arithmetic/LESS__EQ__SUB__LESS', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(18, axiom,![X10]:![X11]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))),file('i/f/arithmetic/LESS__EQ__SUB__LESS', ah4s_arithmetics_ADDu_u_SYM)).
fof(20, axiom,![X12]:![X10]:![X11]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X12)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))),file('i/f/arithmetic/LESS__EQ__SUB__LESS', ah4s_arithmetics_LESSu_u_MONOu_u_ADDu_u_EQ)).
fof(21, axiom,![X10]:![X11]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))))=>?[X12]:s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))),file('i/f/arithmetic/LESS__EQ__SUB__LESS', ah4s_arithmetics_LESSu_u_ADDu_u_1)).
fof(23, axiom,![X13]:![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13))),s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,X14),file('i/f/arithmetic/LESS__EQ__SUB__LESS', ah4s_arithmetics_ADDu_u_SUB)).
fof(24, axiom,![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/LESS__EQ__SUB__LESS', ah4s_arithmetics_SUBu_u_EQUALu_u_0)).
fof(25, conjecture,![X15]:![X14]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))))=>![X13]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X13)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X13)))))),file('i/f/arithmetic/LESS__EQ__SUB__LESS', ch4s_arithmetics_LESSu_u_EQu_u_SUBu_u_LESS)).
# SZS output end CNFRefutation
