# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_nums_num,h4s_gcds_gcd(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_gcds_gcd(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/gcd/GCD__ADD__R', ch4s_gcds_GCDu_u_ADDu_u_R)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/gcd/GCD__ADD__R', aHLu_TRUTH)).
fof(5, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/gcd/GCD__ADD__R', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X7]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X8))),file('i/f/gcd/GCD__ADD__R', ah4s_arithmetics_ADDu_u_SYM)).
fof(8, axiom,![X9]:![X10]:![X1]:![X2]:((p(s(t_bool,h4s_gcds_isu_u_gcd(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X10))))&p(s(t_bool,h4s_gcds_isu_u_gcd(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X9)))))=>s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,X9)),file('i/f/gcd/GCD__ADD__R', ah4s_gcds_ISu_u_GCDu_u_UNIQUE)).
fof(9, axiom,![X1]:![X2]:p(s(t_bool,h4s_gcds_isu_u_gcd(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_gcds_gcd(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))),file('i/f/gcd/GCD__ADD__R', ah4s_gcds_GCDu_u_ISu_u_GCD)).
fof(10, axiom,![X7]:![X8]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7)))))),file('i/f/gcd/GCD__ADD__R', ah4s_arithmetics_LESSu_u_EQu_u_ADD)).
fof(11, axiom,![X10]:![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,X2),file('i/f/gcd/GCD__ADD__R', ah4s_arithmetics_ADDu_u_SUB)).
fof(12, axiom,![X10]:![X1]:![X2]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(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,X2),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X10)))))=>p(s(t_bool,h4s_gcds_isu_u_gcd(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X10))))),file('i/f/gcd/GCD__ADD__R', ah4s_gcds_ISu_u_GCDu_u_MINUSu_u_R)).
# SZS output end CNFRefutation
