# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_gcds_isu_u_gcd(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_bool,h4s_gcds_isu_u_gcd(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))),file('i/f/gcd/IS__GCD__SYM', ch4s_gcds_ISu_u_GCDu_u_SYM)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/gcd/IS__GCD__SYM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(10, axiom,![X14]:![X15]:![X16]:((p(s(t_bool,X16))<=>s(t_bool,X15)=s(t_bool,X14))<=>((p(s(t_bool,X16))|(p(s(t_bool,X15))|p(s(t_bool,X14))))&((p(s(t_bool,X16))|(~(p(s(t_bool,X14)))|~(p(s(t_bool,X15)))))&((p(s(t_bool,X15))|(~(p(s(t_bool,X14)))|~(p(s(t_bool,X16)))))&(p(s(t_bool,X14))|(~(p(s(t_bool,X15)))|~(p(s(t_bool,X16))))))))),file('i/f/gcd/IS__GCD__SYM', ah4s_sats_dcu_u_eq)).
fof(15, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_gcds_isu_u_gcd(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))<=>(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3))))&(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))&![X17]:((p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X3))))&p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X2)))))=>p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X1)))))))),file('i/f/gcd/IS__GCD__SYM', ah4s_gcds_isu_u_gcdu_u_def)).
# SZS output end CNFRefutation
