# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))=>(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,X1)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ch4s_dividess_DIVIDESu_u_LEQu_u_ORu_u_ZERO)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', aHLu_TRUTH)).
fof(9, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(14, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_primu_u_recs_LESSu_u_0)).
fof(15, axiom,![X2]:(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)|?[X1]:s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_arithmetics_numu_u_CASES)).
fof(16, axiom,![X1]:![X2]:(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)<=>(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)|s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_arithmetics_MULTu_u_EQu_u_0)).
fof(17, axiom,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))<=>(s(t_h4s_nums_num,X2)=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/divides/DIVIDES__LEQ__OR__ZERO', ah4s_arithmetics_LEu_u_MULTu_u_CANCELu_u_LBAREu_c0)).
fof(18, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_arithmetics_MULTu_u_COMM)).
fof(19, axiom,![X12]:![X13]:(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))))<=>?[X14]:s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13)))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_dividess_dividesu_u_def)).
fof(20, axiom,~(p(s(t_bool,f))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', aHLu_FALSITY)).
fof(23, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
