# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(~(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_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2)))))=s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X1)))),file('i/f/int_arith/INT__DIVIDES__LRMUL', ch4s_intu_u_ariths_INTu_u_DIVIDESu_u_LRMUL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/int_arith/INT__DIVIDES__LRMUL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/int_arith/INT__DIVIDES__LRMUL', aHLu_FALSITY)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/int_arith/INT__DIVIDES__LRMUL', aHLu_BOOLu_CASES)).
fof(7, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/int_arith/INT__DIVIDES__LRMUL', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(23, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/int_arith/INT__DIVIDES__LRMUL', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(39, axiom,![X2]:![X3]:(p(s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2))))<=>?[X16]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X16),s(t_h4s_integers_int,X3)))=s(t_h4s_integers_int,X2)),file('i/f/int_arith/INT__DIVIDES__LRMUL', ah4s_integers_INTu_u_DIVIDES)).
fof(40, axiom,![X17]:![X10]:![X9]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X9),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X17)))))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X9),s(t_h4s_integers_int,X10))),s(t_h4s_integers_int,X17))),file('i/f/int_arith/INT__DIVIDES__LRMUL', ah4s_integers_INTu_u_MULu_u_ASSOC)).
fof(41, axiom,![X17]:![X10]:![X9]:(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X9),s(t_h4s_integers_int,X17)))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X17)))<=>(s(t_h4s_integers_int,X17)=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,X9)=s(t_h4s_integers_int,X10))),file('i/f/int_arith/INT__DIVIDES__LRMUL', ah4s_integers_INTu_u_EQu_u_RMUL)).
# SZS output end CNFRefutation
