# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_gcds_isu_u_gcd(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))),file('i/f/gcd/IS__GCD__0R', ch4s_gcds_ISu_u_GCDu_u_0R)).
fof(2, axiom,![X2]:![X3]:((p(s(t_bool,X3))=>p(s(t_bool,X2)))=>((p(s(t_bool,X2))=>p(s(t_bool,X3)))=>s(t_bool,X3)=s(t_bool,X2))),file('i/f/gcd/IS__GCD__0R', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(29, axiom,![X20]:![X21]:![X1]:(p(s(t_bool,h4s_gcds_isu_u_gcd(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X20))))<=>(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1))))&(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X21))))&![X22]:((p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X1))))&p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21)))))=>p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X20)))))))),file('i/f/gcd/IS__GCD__0R', ah4s_gcds_isu_u_gcdu_u_def)).
fof(30, axiom,![X20]:![X21]:![X1]:s(t_bool,h4s_gcds_isu_u_gcd(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X20)))=s(t_bool,h4s_gcds_isu_u_gcd(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X20))),file('i/f/gcd/IS__GCD__0R', ah4s_gcds_ISu_u_GCDu_u_SYM)).
fof(33, axiom,![X1]:p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1)))),file('i/f/gcd/IS__GCD__0R', ah4s_dividess_DIVIDESu_u_REFL)).
fof(34, axiom,![X21]:![X1]:((p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X21))))&p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X1)))))=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,X21)),file('i/f/gcd/IS__GCD__0R', ah4s_dividess_DIVIDESu_u_ANTISYM)).
fof(35, axiom,![X21]:![X1]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X21))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X1)))))=>~(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X21)))))),file('i/f/gcd/IS__GCD__0R', ah4s_dividess_NOTu_u_LTu_u_DIVIDES)).
fof(38, axiom,![X1]:p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/gcd/IS__GCD__0R', ah4s_dividess_ALLu_u_DIVIDESu_u_0)).
fof(39, axiom,![X21]:![X1]:(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X21))))<=>?[X5]:s(t_h4s_nums_num,X21)=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1)))),file('i/f/gcd/IS__GCD__0R', ah4s_dividess_dividesu_u_def)).
# SZS output end CNFRefutation
