# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(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_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))),file('i/f/arithmetic/RIGHT__SUB__DISTRIB', ch4s_arithmetics_RIGHTu_u_SUBu_u_DISTRIB)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/RIGHT__SUB__DISTRIB', aHLu_TRUTH)).
fof(7, axiom,![X1]:![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_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))),file('i/f/arithmetic/RIGHT__SUB__DISTRIB', ah4s_arithmetics_LESSu_u_MONOu_u_MULT)).
fof(8, 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/RIGHT__SUB__DISTRIB', ah4s_arithmetics_SUBu_u_EQu_u_0)).
fof(9, axiom,![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))=>s(t_h4s_nums_num,h4s_arithmetics_u_2b(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,X2)))=s(t_h4s_nums_num,X3)),file('i/f/arithmetic/RIGHT__SUB__DISTRIB', ah4s_arithmetics_SUBu_u_ADD)).
fof(10, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(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,X3),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X1)<=>s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/RIGHT__SUB__DISTRIB', ah4s_arithmetics_ADDu_u_EQu_u_SUB)).
fof(11, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(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/RIGHT__SUB__DISTRIB', ah4s_arithmetics_MULTu_u_CLAUSESu_c0)).
fof(12, axiom,![X1]:![X2]:![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),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,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))),file('i/f/arithmetic/RIGHT__SUB__DISTRIB', ah4s_arithmetics_RIGHTu_u_ADDu_u_DISTRIB)).
fof(13, 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/RIGHT__SUB__DISTRIB', ah4s_arithmetics_NOTu_u_LESS)).
fof(14, 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,X3),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/RIGHT__SUB__DISTRIB', ah4s_arithmetics_LESSu_u_IMPu_u_LESSu_u_ORu_u_EQ)).
fof(15, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/arithmetic/RIGHT__SUB__DISTRIB', aHLu_BOOLu_CASES)).
fof(16, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/RIGHT__SUB__DISTRIB', aHLu_FALSITY)).
# SZS output end CNFRefutation
