# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(?[X3]:p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X2),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X3))))))<=>?[X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X2),s(t_h4s_integers_int,X3))))&p(s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X3)))))),file('i/f/int_arith/lcm__eliminate', ch4s_intu_u_ariths_lcmu_u_eliminate)).
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/int_arith/lcm__eliminate', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(40, axiom,![X16]:![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X16)))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X16),s(t_h4s_integers_int,X3))),file('i/f/int_arith/lcm__eliminate', ah4s_integers_INTu_u_MULu_u_COMM)).
fof(42, axiom,![X7]:![X8]:(p(s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X7))))<=>?[X24]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X24),s(t_h4s_integers_int,X8)))=s(t_h4s_integers_int,X7)),file('i/f/int_arith/lcm__eliminate', ah4s_integers_INTu_u_DIVIDES)).
fof(52, axiom,![X3]:p(s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X3)))),file('i/f/int_arith/lcm__eliminate', ah4s_integers_INTu_u_DIVIDESu_u_REFL)).
fof(54, axiom,![X7]:![X8]:p(s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X8)))))),file('i/f/int_arith/lcm__eliminate', ah4s_integers_INTu_u_DIVIDESu_u_MULu_c1)).
fof(58, axiom,![X8]:s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_bool,t),file('i/f/int_arith/lcm__eliminate', ah4s_integers_INTu_u_DIVIDESu_u_REDUCEu_c3)).
# SZS output end CNFRefutation
