# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))&p(s(t_bool,h4s_gcds_isu_u_gcd(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=>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))))),file('i/f/gcd/IS__GCD__MINUS__L', ch4s_gcds_ISu_u_GCDu_u_MINUSu_u_L)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/gcd/IS__GCD__MINUS__L', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/gcd/IS__GCD__MINUS__L', aHLu_FALSITY)).
fof(18, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/gcd/IS__GCD__MINUS__L', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(19, axiom,![X6]:(s(t_bool,X6)=s(t_bool,f)<=>~(p(s(t_bool,X6)))),file('i/f/gcd/IS__GCD__MINUS__L', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(40, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/gcd/IS__GCD__MINUS__L', aHLu_BOOLu_CASES)).
fof(43, 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))))&![X19]:((p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X3))))&p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X2)))))=>p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X1)))))))),file('i/f/gcd/IS__GCD__MINUS__L', ah4s_gcds_isu_u_gcdu_u_def)).
fof(44, axiom,![X20]:![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X20)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X21))),file('i/f/gcd/IS__GCD__MINUS__L', ah4s_arithmetics_ADDu_u_SYM)).
fof(45, axiom,![X20]:![X21]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X21))))=>s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2d(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/gcd/IS__GCD__MINUS__L', ah4s_arithmetics_SUBu_u_ADD)).
fof(46, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1)))))=>p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))),file('i/f/gcd/IS__GCD__MINUS__L', ah4s_dividess_DIVIDESu_u_ADDu_u_1)).
fof(47, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))))=>p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))))),file('i/f/gcd/IS__GCD__MINUS__L', ah4s_dividess_DIVIDESu_u_ADDu_u_2)).
# SZS output end CNFRefutation
