# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X7]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))),file('i/f/arithmetic/MIN__IDEM', ah4s_arithmetics_MINu_u_DEF)).
fof(49, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/arithmetic/MIN__IDEM', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(68, axiom,![X13]:![X11]:![X12]:s(X13,h4s_bools_cond(s(t_bool,f),s(X13,X12),s(X13,X11)))=s(X13,X11),file('i/f/arithmetic/MIN__IDEM', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(72, axiom,![X7]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X7))))),file('i/f/arithmetic/MIN__IDEM', ah4s_primu_u_recs_LESSu_u_REFL)).
fof(133, conjecture,![X7]:s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,X7),file('i/f/arithmetic/MIN__IDEM', ch4s_arithmetics_MINu_u_IDEM)).
# SZS output end CNFRefutation
