# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))<=>((s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))&~(s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))|(s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))&s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))),file('i/f/integer/INT__DIVIDES__MOD0', ch4s_integers_INTu_u_DIVIDESu_u_MOD0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer/INT__DIVIDES__MOD0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__DIVIDES__MOD0', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/integer/INT__DIVIDES__MOD0', aHLu_BOOLu_CASES)).
fof(23, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/integer/INT__DIVIDES__MOD0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(24, axiom,![X3]:(s(t_bool,X3)=s(t_bool,f)<=>~(p(s(t_bool,X3)))),file('i/f/integer/INT__DIVIDES__MOD0', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(37, axiom,![X7]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer/INT__DIVIDES__MOD0', ah4s_integers_INTu_u_MULu_u_RZERO)).
fof(38, axiom,![X2]:(~(s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/integer/INT__DIVIDES__MOD0', ah4s_integers_INTu_u_MODu_u_COMMONu_u_FACTOR)).
fof(39, axiom,![X1]:(~(s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>![X2]:(s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))<=>?[X12]:s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X1))))),file('i/f/integer/INT__DIVIDES__MOD0', ah4s_integers_INTu_u_MODu_u_EQ0)).
fof(40, axiom,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))<=>?[X13]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,X1)),file('i/f/integer/INT__DIVIDES__MOD0', ah4s_integers_INTu_u_DIVIDES)).
# SZS output end CNFRefutation
