# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_totos_cpn,happ(s(t_fun(t_h4s_integers_int,t_h4s_totos_cpn),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_totos_cpn)),h4s_inttos_intord),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))))))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_h4s_totos_cpn,h4s_totos_less),file('i/f/intto/neg__BIT1__lt__thm', ch4s_inttos_negu_u_BIT1u_u_ltu_u_thm)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/intto/neg__BIT1__lt__thm', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/intto/neg__BIT1__lt__thm', aHLu_FALSITY)).
fof(6, 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/intto/neg__BIT1__lt__thm', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(14, axiom,![X6]:![X8]:![X7]:![X10]:?[X11]:((p(s(t_bool,X11))<=>s(X6,X7)=s(X6,X8))&s(t_h4s_totos_cpn,happ(s(t_fun(X6,t_h4s_totos_cpn),happ(s(t_fun(X6,t_fun(X6,t_h4s_totos_cpn)),h4s_totos_tou_u_ofu_u_linearorder(s(t_fun(X6,t_fun(X6,t_bool)),X10))),s(X6,X7))),s(X6,X8)))=s(t_h4s_totos_cpn,h4s_bools_cond(s(t_bool,X11),s(t_h4s_totos_cpn,h4s_totos_equal),s(t_h4s_totos_cpn,h4s_bools_cond(s(t_bool,happ(s(t_fun(X6,t_bool),happ(s(t_fun(X6,t_fun(X6,t_bool)),X10),s(X6,X7))),s(X6,X8))),s(t_h4s_totos_cpn,h4s_totos_less),s(t_h4s_totos_cpn,h4s_totos_greater)))))),file('i/f/intto/neg__BIT1__lt__thm', ah4s_totos_TOu_u_ofu_u_LinearOrder0)).
fof(15, axiom,s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_totos_cpn)),h4s_inttos_intord)=s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_totos_cpn)),h4s_totos_tou_u_ofu_u_linearorder(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_bool)),h4s_integers_intu_u_lt))),file('i/f/intto/neg__BIT1__lt__thm', ah4s_inttos_intOrd0)).
fof(17, axiom,![X1]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_bool)),h4s_integers_intu_u_lt),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1))))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2))))))<=>(~(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))|~(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/intto/neg__BIT1__lt__thm', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c2)).
fof(18, axiom,![X1]:![X2]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2)))))<=>(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)&s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/intto/neg__BIT1__lt__thm', ah4s_integers_INTu_u_EQu_u_CALCULATEu_c2)).
fof(19, axiom,![X1]:~(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/intto/neg__BIT1__lt__thm', ah4s_inttos_BIT1u_u_nz)).
fof(21, axiom,![X6]:![X4]:![X5]:s(X6,h4s_bools_cond(s(t_bool,t),s(X6,X5),s(X6,X4)))=s(X6,X5),file('i/f/intto/neg__BIT1__lt__thm', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(22, axiom,![X6]:![X4]:![X5]:s(X6,h4s_bools_cond(s(t_bool,f),s(X6,X5),s(X6,X4)))=s(X6,X4),file('i/f/intto/neg__BIT1__lt__thm', ah4s_bools_boolu_u_caseu_u_thmu_c1)).
# SZS output end CNFRefutation
