# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/gcd/LCM__COMM', aHLu_TRUTH)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/gcd/LCM__COMM', aHLu_BOOLu_CASES)).
fof(14, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/gcd/LCM__COMM', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(15, axiom,![X9]:![X7]:![X8]:s(X9,h4s_bools_cond(s(t_bool,t),s(X9,X8),s(X9,X7)))=s(X9,X8),file('i/f/gcd/LCM__COMM', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(16, axiom,![X9]:![X7]:![X8]:s(X9,h4s_bools_cond(s(t_bool,f),s(X9,X8),s(X9,X7)))=s(X9,X7),file('i/f/gcd/LCM__COMM', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(20, axiom,![X18]:![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))),file('i/f/gcd/LCM__COMM', ah4s_arithmetics_MULTu_u_COMM)).
fof(21, axiom,![X20]:![X21]:s(t_h4s_nums_num,h4s_gcds_gcd(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X20)))=s(t_h4s_nums_num,h4s_gcds_gcd(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X21))),file('i/f/gcd/LCM__COMM', ah4s_gcds_GCDu_u_SYM)).
fof(22, axiom,![X18]:![X19]:?[X22]:((p(s(t_bool,X22))<=>(s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,h4s_nums_0)|s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,h4s_nums_0)))&s(t_h4s_nums_num,h4s_gcds_lcm(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,X22),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,h4s_gcds_gcd(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))))))),file('i/f/gcd/LCM__COMM', ah4s_gcds_lcmu_u_def)).
fof(23, conjecture,![X20]:![X21]:s(t_h4s_nums_num,h4s_gcds_lcm(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X20)))=s(t_h4s_nums_num,h4s_gcds_lcm(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X21))),file('i/f/gcd/LCM__COMM', ch4s_gcds_LCMu_u_COMM)).
# SZS output end CNFRefutation
