# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),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__RIGHT__LESS__EQ', ch4s_arithmetics_SUBu_u_RIGHTu_u_LESSu_u_EQ)).
fof(2, axiom,![X1]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))))=>![X2]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3))),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,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))))),file('i/f/arithmetic/SUB__RIGHT__LESS__EQ', ah4s_arithmetics_SUBu_u_LESSu_u_EQu_u_ADD)).
fof(4, axiom,![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(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))))|s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,X2))),file('i/f/arithmetic/SUB__RIGHT__LESS__EQ', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(8, axiom,![X2]:![X3]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))))),file('i/f/arithmetic/SUB__RIGHT__LESS__EQ', ah4s_arithmetics_LESSu_u_EQu_u_ADD)).
fof(11, axiom,![X6]:![X4]:![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X6)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,X6))),file('i/f/arithmetic/SUB__RIGHT__LESS__EQ', ah4s_arithmetics_SUBu_u_PLUS)).
fof(15, axiom,![X11]:![X12]:((p(s(t_bool,X12))=>p(s(t_bool,X11)))=>((p(s(t_bool,X11))=>p(s(t_bool,X12)))=>s(t_bool,X12)=s(t_bool,X11))),file('i/f/arithmetic/SUB__RIGHT__LESS__EQ', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(17, 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)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))),file('i/f/arithmetic/SUB__RIGHT__LESS__EQ', ah4s_arithmetics_NOTu_u_LESS)).
fof(66, axiom,![X2]:![X3]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_nums_0)<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/SUB__RIGHT__LESS__EQ', ah4s_arithmetics_SUBu_u_EQu_u_0)).
fof(73, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,X3),file('i/f/arithmetic/SUB__RIGHT__LESS__EQ', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(79, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/SUB__RIGHT__LESS__EQ', ah4s_arithmetics_SUBu_c0)).
fof(89, axiom,p(s(t_bool,t)),file('i/f/arithmetic/SUB__RIGHT__LESS__EQ', aHLu_TRUTH)).
fof(91, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/arithmetic/SUB__RIGHT__LESS__EQ', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
