# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((![X4]:(p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X3),s(t_h4s_integers_int,X4))))=>p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X3),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X2)))))))&p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X3),s(t_h4s_integers_int,X1)))))=>![X5]:(p(s(t_bool,h4s_integers_intu_u_lt(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,X5))))=>p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X3),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X5),s(t_h4s_integers_int,X2)))))))))),file('i/f/int_arith/bot__and__greaters', ch4s_intu_u_ariths_botu_u_andu_u_greaters)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/int_arith/bot__and__greaters', aHLu_TRUTH)).
fof(8, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/int_arith/bot__and__greaters', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X1]:![X2]:![X3]:((![X4]:(p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X3),s(t_h4s_integers_int,X4))))=>p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X3),s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X2)))))))&p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X3),s(t_h4s_integers_int,X1)))))=>![X5]:(p(s(t_bool,h4s_integers_intu_u_lt(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,X5))))=>p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X3),s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X5),s(t_h4s_integers_int,X2)))))))))),file('i/f/int_arith/bot__and__greaters', ah4s_intu_u_ariths_topu_u_andu_u_lessers)).
fof(14, axiom,![X12]:![X4]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X12)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X12))))),file('i/f/int_arith/bot__and__greaters', ah4s_integers_intu_u_sub0)).
fof(15, axiom,![X12]:![X4]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X12)))))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X12))))),file('i/f/int_arith/bot__and__greaters', ah4s_integers_INTu_u_NEGu_u_RMUL)).
fof(16, axiom,![X4]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X4)))))=s(t_h4s_integers_int,X4),file('i/f/int_arith/bot__and__greaters', ah4s_integers_INTu_u_NEGNEG)).
fof(17, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/int_arith/bot__and__greaters', aHLu_BOOLu_CASES)).
fof(18, axiom,~(p(s(t_bool,f))),file('i/f/int_arith/bot__and__greaters', aHLu_FALSITY)).
# SZS output end CNFRefutation
