# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_gcds_lcm(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X1),file('i/f/gcd/LCM__1_c0', ch4s_gcds_LCMu_u_1u_c0)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/gcd/LCM__1_c0', aHLu_FALSITY)).
fof(6, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/gcd/LCM__1_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(12, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/gcd/LCM__1_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(14, axiom,![X8]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/gcd/LCM__1_c0', ah4s_numerals_numeralu_u_equ_c1)).
fof(15, axiom,![X9]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,X9),file('i/f/gcd/LCM__1_c0', ah4s_arithmetics_MULTu_u_LEFTu_u_1)).
fof(16, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,X10),file('i/f/gcd/LCM__1_c0', ah4s_arithmetics_DIVu_u_1)).
fof(17, axiom,![X8]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/gcd/LCM__1_c0', ah4s_numerals_numeralu_u_distribu_c17)).
fof(18, axiom,![X1]:s(t_h4s_nums_num,h4s_gcds_gcd(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/gcd/LCM__1_c0', ah4s_gcds_GCDu_u_1u_c0)).
fof(19, axiom,![X8]:![X9]:?[X11]:((p(s(t_bool,X11))<=>(s(t_h4s_nums_num,X9)=s(t_h4s_nums_num,h4s_nums_0)|s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,h4s_nums_0)))&s(t_h4s_nums_num,h4s_gcds_lcm(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,X11),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,X9),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_gcds_gcd(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8)))))))),file('i/f/gcd/LCM__1_c0', ah4s_gcds_lcmu_u_def)).
fof(21, axiom,![X5]:![X3]:![X4]:s(X5,h4s_bools_cond(s(t_bool,t),s(X5,X4),s(X5,X3)))=s(X5,X4),file('i/f/gcd/LCM__1_c0', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(22, axiom,![X5]:![X3]:![X4]:s(X5,h4s_bools_cond(s(t_bool,f),s(X5,X4),s(X5,X3)))=s(X5,X3),file('i/f/gcd/LCM__1_c0', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
