# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/divides/DIVIDES__ANTISYM', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/divides/DIVIDES__ANTISYM', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/divides/DIVIDES__ANTISYM', aHLu_BOOLu_CASES)).
fof(6, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/divides/DIVIDES__ANTISYM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(20, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/divides/DIVIDES__ANTISYM', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(37, axiom,![X20]: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,X20)))))),file('i/f/divides/DIVIDES__ANTISYM', ah4s_primu_u_recs_LESSu_u_0)).
fof(38, axiom,![X21]:(s(t_h4s_nums_num,X21)=s(t_h4s_nums_num,h4s_nums_0)|?[X20]:s(t_h4s_nums_num,X21)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X20)))),file('i/f/divides/DIVIDES__ANTISYM', ah4s_arithmetics_numu_u_CASES)).
fof(39, axiom,![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/divides/DIVIDES__ANTISYM', ah4s_arithmetics_MULTu_u_0)).
fof(40, axiom,![X20]:![X21]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X21))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X20)))))=>s(t_h4s_nums_num,X20)=s(t_h4s_nums_num,X21)),file('i/f/divides/DIVIDES__ANTISYM', ah4s_arithmetics_LESSu_u_EQUALu_u_ANTISYM)).
fof(42, axiom,![X22]:![X14]:(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X22))))<=>?[X18]:s(t_h4s_nums_num,X22)=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X14)))),file('i/f/divides/DIVIDES__ANTISYM', ah4s_dividess_dividesu_u_def)).
fof(43, axiom,![X22]:![X14]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X22))))&p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X22)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X22))))),file('i/f/divides/DIVIDES__ANTISYM', ah4s_dividess_DIVIDESu_u_LE)).
fof(44, conjecture,![X22]:![X14]:((p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X22))))&p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X14)))))=>s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,X22)),file('i/f/divides/DIVIDES__ANTISYM', ch4s_dividess_DIVIDESu_u_ANTISYM)).
# SZS output end CNFRefutation
