# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/SUB__LEFT__SUB', aHLu_FALSITY)).
fof(5, axiom,![X7]:![X8]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X8))))=>![X9]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X8)))),file('i/f/arithmetic/SUB__LEFT__SUB', ah4s_arithmetics_SUBu_u_SUB)).
fof(10, axiom,![X12]:![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))),file('i/f/arithmetic/SUB__LEFT__SUB', ah4s_arithmetics_ADDu_u_SYM)).
fof(13, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/arithmetic/SUB__LEFT__SUB', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(14, axiom,![X12]:![X13]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))))|s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,X12))),file('i/f/arithmetic/SUB__LEFT__SUB', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(15, axiom,![X12]:![X13]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_nums_0)<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))))),file('i/f/arithmetic/SUB__LEFT__SUB', ah4s_arithmetics_SUBu_u_EQu_u_0)).
fof(20, axiom,![X12]:![X13]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))))),file('i/f/arithmetic/SUB__LEFT__SUB', ah4s_arithmetics_NOTu_u_LESS)).
fof(22, axiom,![X10]:![X14]:![X15]:s(X10,h4s_bools_cond(s(t_bool,t),s(X10,X15),s(X10,X14)))=s(X10,X15),file('i/f/arithmetic/SUB__LEFT__SUB', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(23, axiom,![X10]:![X14]:![X15]:s(X10,h4s_bools_cond(s(t_bool,f),s(X10,X15),s(X10,X14)))=s(X10,X14),file('i/f/arithmetic/SUB__LEFT__SUB', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(57, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/arithmetic/SUB__LEFT__SUB', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(64, axiom,![X12]:![X13]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,X13)<=>(s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_nums_0)|s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/SUB__LEFT__SUB', ah4s_arithmetics_SUBu_u_EQu_u_EQu_u_0)).
fof(133, conjecture,![X11]:![X12]:![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X11)))))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,X12))))),file('i/f/arithmetic/SUB__LEFT__SUB', ch4s_arithmetics_SUBu_u_LEFTu_u_SUB)).
# SZS output end CNFRefutation
