TSTP Solution File: NUM926+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM926+4 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 09:37:54 EDT 2022

% Result   : Theorem 1.29s 58.46s
% Output   : CNFRefutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   87 (  72 unt;   0 def)
%            Number of atoms       :  131 (  88 equ)
%            Maximal formula atoms :   13 (   1 avg)
%            Number of connectives :   79 (  35   ~;  28   |;  12   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  26 con; 0-2 aty)
%            Number of variables   :   58 (   4 sgn  28   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_3537_minus__Min,axiom,
    hAPP_int_int(uminus_uminus_int,min) = hAPP_int_int(bit1,pls),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_3537_minus__Min) ).

fof(fact_644_Pls__def,axiom,
    pls = zero_zero_int,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_644_Pls__def) ).

fof(fact_2765_transfer__nat__int__numerals_I3_J,axiom,
    hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_2765_transfer__nat__int__numerals_I3_J) ).

fof(fact_2730_nat__number__of__def,axiom,
    ! [X42] : hAPP_int_nat(number_number_of_nat,X42) = hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,X42)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_2730_nat__number__of__def) ).

fof(fact_3139_nat__1,axiom,
    hAPP_int_nat(nat,one_one_int) = hAPP_nat_nat(suc,zero_zero_nat),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_3139_nat__1) ).

fof(fact_2731_transfer__nat__int__numerals_I2_J,axiom,
    one_one_nat = hAPP_int_nat(nat,one_one_int),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_2731_transfer__nat__int__numerals_I2_J) ).

fof(fact_58_one__add__one__is__two,axiom,
    hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int) = hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_58_one__add__one__is__two) ).

fof(fact_360_Bit0__def,axiom,
    ! [X24] : hAPP_int_int(bit0,X24) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X24),X24),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_360_Bit0__def) ).

fof(fact_3512_minus__Bit0,axiom,
    ! [X24] : hAPP_int_int(uminus_uminus_int,hAPP_int_int(bit0,X24)) = hAPP_int_int(bit0,hAPP_int_int(uminus_uminus_int,X24)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_3512_minus__Bit0) ).

fof(fact_3515_minus__numeral__code_I5_J,axiom,
    ! [X18] : hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,X18)) = hAPP_int_int(number_number_of_int,hAPP_int_int(uminus_uminus_int,X18)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_3515_minus__numeral__code_I5_J) ).

fof(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
    ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
   => ? [X4,X5] :
        ( is_int(X4)
        & is_int(X5)
        & hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X5),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).

fof(fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
    ! [X11] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X11),X11) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X11),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).

fof(fact_3189_transfer__int__nat__numerals_I3_J,axiom,
    hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_3189_transfer__int__nat__numerals_I3_J) ).

fof(fact_3197_semiring__norm_I115_J,axiom,
    hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_3197_semiring__norm_I115_J) ).

fof(conj_0,conjecture,
    ? [X4,X5] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X5),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).

fof(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
    ( t = one_one_int
   => ? [X4,X5] :
        ( is_int(X4)
        & is_int(X5)
        & hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X5),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).

fof(fact_241_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
    ! [X87,X88] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X87),X88) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X88),X87),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_241_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

fof(fact_186_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
    ! [X67,X68] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X67),X68) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X68),X67),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_186_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).

fof(fact_3298_succ__def,axiom,
    ! [X24] : hAPP_int_int(succ,X24) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X24),one_one_int),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_3298_succ__def) ).

fof(fact_2856_nat__int,axiom,
    ! [X179] : hAPP_int_nat(nat,hAPP_nat_int(semiri1621563631at_int,X179)) = X179,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_2856_nat__int) ).

fof(fact_3531_Int_OMin__def,axiom,
    min = hAPP_int_int(uminus_uminus_int,one_one_int),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_3531_Int_OMin__def) ).

fof(fact_65_zless__le,axiom,
    ! [X20,X21] :
      ( ( is_int(X20)
        & is_int(X21) )
     => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X20),X21))
      <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X20),X21))
          & X20 != X21 ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_65_zless__le) ).

fof(fact_0_tpos,axiom,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_0_tpos) ).

fof(gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint,hypothesis,
    is_int(one_one_int),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint) ).

fof(gsy_v_t____,axiom,
    is_int(t),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gsy_v_t____) ).

cnf(c_0_25,plain,
    hAPP_int_int(uminus_uminus_int,min) = hAPP_int_int(bit1,pls),
    inference(split_conjunct,[status(thm)],[fact_3537_minus__Min]) ).

cnf(c_0_26,plain,
    pls = zero_zero_int,
    inference(split_conjunct,[status(thm)],[fact_644_Pls__def]) ).

cnf(c_0_27,plain,
    hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
    inference(split_conjunct,[status(thm)],[fact_2765_transfer__nat__int__numerals_I3_J]) ).

cnf(c_0_28,plain,
    hAPP_int_int(bit1,zero_zero_int) = hAPP_int_int(uminus_uminus_int,min),
    inference(rw,[status(thm)],[c_0_25,c_0_26]) ).

fof(c_0_29,plain,
    ! [X43] : hAPP_int_nat(number_number_of_nat,X43) = hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,X43)),
    inference(variable_rename,[status(thm)],[fact_2730_nat__number__of__def]) ).

cnf(c_0_30,plain,
    hAPP_int_nat(nat,one_one_int) = hAPP_nat_nat(suc,zero_zero_nat),
    inference(split_conjunct,[status(thm)],[fact_3139_nat__1]) ).

cnf(c_0_31,plain,
    one_one_nat = hAPP_int_nat(nat,one_one_int),
    inference(split_conjunct,[status(thm)],[fact_2731_transfer__nat__int__numerals_I2_J]) ).

cnf(c_0_32,plain,
    hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int) = hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
    inference(split_conjunct,[status(thm)],[fact_58_one__add__one__is__two]) ).

fof(c_0_33,plain,
    ! [X25] : hAPP_int_int(bit0,X25) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X25),X25),
    inference(variable_rename,[status(thm)],[fact_360_Bit0__def]) ).

fof(c_0_34,plain,
    ! [X25] : hAPP_int_int(uminus_uminus_int,hAPP_int_int(bit0,X25)) = hAPP_int_int(bit0,hAPP_int_int(uminus_uminus_int,X25)),
    inference(variable_rename,[status(thm)],[fact_3512_minus__Bit0]) ).

fof(c_0_35,plain,
    ! [X19] : hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,X19)) = hAPP_int_int(number_number_of_int,hAPP_int_int(uminus_uminus_int,X19)),
    inference(variable_rename,[status(thm)],[fact_3515_minus__numeral__code_I5_J]) ).

fof(c_0_36,plain,
    ( ( is_int(esk3_0)
      | ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) )
    & ( is_int(esk4_0)
      | ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) )
    & ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk3_0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk4_0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)
      | ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])])])])])]) ).

fof(c_0_37,plain,
    ! [X12] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X12),X12) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X12),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
    inference(variable_rename,[status(thm)],[fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J]) ).

cnf(c_0_38,plain,
    hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
    inference(split_conjunct,[status(thm)],[fact_3189_transfer__int__nat__numerals_I3_J]) ).

cnf(c_0_39,plain,
    hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(uminus_uminus_int,min))) = hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(uminus_uminus_int,min)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_26]),c_0_28]),c_0_26]),c_0_28]) ).

cnf(c_0_40,plain,
    hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
    inference(split_conjunct,[status(thm)],[fact_3197_semiring__norm_I115_J]) ).

cnf(c_0_41,plain,
    hAPP_int_nat(number_number_of_nat,X1) = hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,X1)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_42,plain,
    hAPP_nat_nat(suc,zero_zero_nat) = one_one_nat,
    inference(rw,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_43,plain,
    hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int) = hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(uminus_uminus_int,min))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_26]),c_0_28]) ).

cnf(c_0_44,plain,
    hAPP_int_int(bit0,X1) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_45,plain,
    hAPP_int_int(uminus_uminus_int,hAPP_int_int(bit0,X1)) = hAPP_int_int(bit0,hAPP_int_int(uminus_uminus_int,X1)),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_46,plain,
    hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,X1)) = hAPP_int_int(number_number_of_int,hAPP_int_int(uminus_uminus_int,X1)),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_47,negated_conjecture,
    ~ ? [X4,X5] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X5),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int),
    inference(assume_negation,[status(cth)],[conj_0]) ).

fof(c_0_48,plain,
    ( ( is_int(esk1_0)
      | t != one_one_int )
    & ( is_int(esk2_0)
      | t != one_one_int )
    & ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk1_0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk2_0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)
      | t != one_one_int ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])])])])])]) ).

cnf(c_0_49,plain,
    ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk3_0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk4_0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)
    | ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_50,plain,
    ! [X89,X90] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X89),X90) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X90),X89),
    inference(variable_rename,[status(thm)],[fact_241_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).

fof(c_0_51,plain,
    ! [X69,X70] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X69),X70) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X70),X69),
    inference(variable_rename,[status(thm)],[fact_186_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).

cnf(c_0_52,plain,
    hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X1) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_53,plain,
    hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(uminus_uminus_int,min))))) = hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(uminus_uminus_int,min))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_26]),c_0_28]),c_0_39]),c_0_26]),c_0_28]) ).

cnf(c_0_54,plain,
    hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(uminus_uminus_int,min)))) = hAPP_nat_nat(suc,one_one_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_26]),c_0_28]),c_0_41]),c_0_42]) ).

cnf(c_0_55,plain,
    hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,min))) = hAPP_int_int(bit0,one_one_int),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]) ).

fof(c_0_56,negated_conjecture,
    ! [X6,X7] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X6),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X7),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).

fof(c_0_57,plain,
    ! [X25] : hAPP_int_int(succ,X25) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X25),one_one_int),
    inference(variable_rename,[status(thm)],[fact_3298_succ__def]) ).

cnf(c_0_58,plain,
    ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk1_0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk2_0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)
    | t != one_one_int ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_59,plain,
    ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk3_0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk4_0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),m)),one_one_int)
    | ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_26]),c_0_26]),c_0_26]) ).

cnf(c_0_60,plain,
    hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1),X2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_61,plain,
    hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X2) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

fof(c_0_62,plain,
    ! [X180] : hAPP_int_nat(nat,hAPP_nat_int(semiri1621563631at_int,X180)) = X180,
    inference(variable_rename,[status(thm)],[fact_2856_nat__int]) ).

cnf(c_0_63,plain,
    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(uminus_uminus_int,min))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_26]),c_0_28]),c_0_39]) ).

cnf(c_0_64,plain,
    min = hAPP_int_int(uminus_uminus_int,one_one_int),
    inference(split_conjunct,[status(thm)],[fact_3531_Int_OMin__def]) ).

cnf(c_0_65,plain,
    hAPP_int_int(bit0,one_one_int) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,one_one_nat)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_45]),c_0_46]),c_0_55]) ).

cnf(c_0_66,negated_conjecture,
    hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_67,plain,
    hAPP_int_int(succ,X1) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1),one_one_int),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_68,plain,
    ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk1_0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk2_0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),m)),one_one_int)
    | t != one_one_int ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_26]),c_0_26]),c_0_26]) ).

cnf(c_0_69,plain,
    ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk3_0),hAPP_int_nat(nat,hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,min)))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk4_0),hAPP_int_nat(nat,hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,min)))))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,min))))))
    | ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_28]),c_0_28]),c_0_28]),c_0_41]),c_0_45]),c_0_46]),c_0_41]),c_0_45]),c_0_46]),c_0_60]),c_0_61]),c_0_45]),c_0_45]),c_0_46]) ).

cnf(c_0_70,plain,
    hAPP_int_nat(nat,hAPP_nat_int(semiri1621563631at_int,X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_71,plain,
    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),hAPP_nat_nat(suc,one_one_nat)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X1),
    inference(rw,[status(thm)],[c_0_63,c_0_54]) ).

cnf(c_0_72,plain,
    hAPP_int_int(bit0,min) = hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,one_one_nat))),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_45,c_0_64]),c_0_65]) ).

cnf(c_0_73,negated_conjecture,
    hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),hAPP_int_nat(nat,hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,min)))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X2),hAPP_int_nat(nat,hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,min)))))) != hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,min)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_26]),c_0_28]),c_0_45]),c_0_41]),c_0_46]),c_0_26]),c_0_28]),c_0_45]),c_0_41]),c_0_46]),c_0_26]),c_0_28]),c_0_45]),c_0_45]),c_0_46]),c_0_61]),c_0_67]) ).

cnf(c_0_74,plain,
    ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk1_0),hAPP_int_nat(nat,hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,min)))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,esk2_0),hAPP_int_nat(nat,hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,min)))))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,min))))))
    | t != one_one_int ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_28]),c_0_28]),c_0_28]),c_0_41]),c_0_45]),c_0_46]),c_0_41]),c_0_45]),c_0_46]),c_0_60]),c_0_61]),c_0_45]),c_0_45]),c_0_46]) ).

cnf(c_0_75,plain,
    ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,esk3_0),esk3_0)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,esk4_0),esk4_0)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(uminus_uminus_int,hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,one_one_nat))))))))
    | ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_55]),c_0_55]),c_0_65]),c_0_70]),c_0_71]),c_0_65]),c_0_70]),c_0_71]),c_0_72]),c_0_45]),c_0_46]) ).

cnf(c_0_76,plain,
    hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),X1) = hAPP_int_int(succ,X1),
    inference(pm,[status(thm)],[c_0_60,c_0_67]) ).

cnf(c_0_77,negated_conjecture,
    hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X2),X2)) != hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(uminus_uminus_int,hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,one_one_nat)))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_55]),c_0_55]),c_0_65]),c_0_70]),c_0_71]),c_0_65]),c_0_70]),c_0_71]),c_0_72]),c_0_45]),c_0_46]) ).

fof(c_0_78,plain,
    ! [X22,X23] :
      ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X22),X23))
        | ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X22),X23))
        | ~ is_int(X22)
        | ~ is_int(X23) )
      & ( X22 != X23
        | ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X22),X23))
        | ~ is_int(X22)
        | ~ is_int(X23) )
      & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X22),X23))
        | X22 = X23
        | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X22),X23))
        | ~ is_int(X22)
        | ~ is_int(X23) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_65_zless__le])])]) ).

cnf(c_0_79,plain,
    ( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,esk1_0),esk1_0)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,esk2_0),esk2_0)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(uminus_uminus_int,hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,one_one_nat))))))))
    | t != one_one_int ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_55]),c_0_55]),c_0_65]),c_0_70]),c_0_71]),c_0_65]),c_0_70]),c_0_71]),c_0_72]),c_0_45]),c_0_46]) ).

cnf(c_0_80,plain,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).

cnf(c_0_81,plain,
    ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1))
    | X2 = X1
    | ~ is_int(X1)
    | ~ is_int(X2)
    | ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_82,plain,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)),
    inference(split_conjunct,[status(thm)],[fact_0_tpos]) ).

cnf(c_0_83,hypothesis,
    is_int(one_one_int),
    inference(split_conjunct,[status(thm)],[gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint]) ).

cnf(c_0_84,plain,
    is_int(t),
    inference(split_conjunct,[status(thm)],[gsy_v_t____]) ).

cnf(c_0_85,plain,
    t != one_one_int,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_76]),c_0_77]) ).

cnf(c_0_86,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_83]),c_0_84])]),c_0_85]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : NUM926+4 : TPTP v8.1.0. Released v5.3.0.
% 0.02/0.12  % Command  : run_ET %s %d
% 0.11/0.33  % Computer : n009.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Tue Jul  5 15:54:07 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 1.11/24.16  eprover: CPU time limit exceeded, terminating
% 1.11/24.16  eprover: CPU time limit exceeded, terminating
% 1.11/24.17  eprover: CPU time limit exceeded, terminating
% 1.11/24.18  eprover: CPU time limit exceeded, terminating
% 1.22/47.18  eprover: CPU time limit exceeded, terminating
% 1.22/47.18  eprover: CPU time limit exceeded, terminating
% 1.22/47.19  eprover: CPU time limit exceeded, terminating
% 1.22/47.20  eprover: CPU time limit exceeded, terminating
% 1.29/58.46  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.29/58.46  
% 1.29/58.46  # Failure: Resource limit exceeded (time)
% 1.29/58.46  # OLD status Res
% 1.29/58.46  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.29/58.46  # Preprocessing time       : 0.128 s
% 1.29/58.46  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 1.29/58.46  
% 1.29/58.46  # Failure: Resource limit exceeded (time)
% 1.29/58.46  # OLD status Res
% 1.29/58.46  # Preprocessing time       : 0.621 s
% 1.29/58.46  # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 1.29/58.46  # Preprocessing time       : 0.652 s
% 1.29/58.46  
% 1.29/58.46  # Proof found!
% 1.29/58.46  # SZS status Theorem
% 1.29/58.46  # SZS output start CNFRefutation
% See solution above
% 1.29/58.46  # Proof object total steps             : 87
% 1.29/58.46  # Proof object clause steps            : 48
% 1.29/58.46  # Proof object formula steps           : 39
% 1.29/58.46  # Proof object conjectures             : 6
% 1.29/58.46  # Proof object clause conjectures      : 3
% 1.29/58.46  # Proof object formula conjectures     : 3
% 1.29/58.46  # Proof object initial clauses used    : 25
% 1.29/58.46  # Proof object initial formulas used   : 25
% 1.29/58.46  # Proof object generating inferences   : 3
% 1.29/58.46  # Proof object simplifying inferences  : 122
% 1.29/58.46  # Training examples: 0 positive, 0 negative
% 1.29/58.46  # Parsed axioms                        : 5480
% 1.29/58.46  # Removed by relevancy pruning/SinE    : 0
% 1.29/58.46  # Initial clauses                      : 8131
% 1.29/58.46  # Removed in clause preprocessing      : 281
% 1.29/58.46  # Initial clauses in saturation        : 7850
% 1.29/58.46  # Processed clauses                    : 10539
% 1.29/58.46  # ...of these trivial                  : 724
% 1.29/58.46  # ...subsumed                          : 2263
% 1.29/58.46  # ...remaining for further processing  : 7552
% 1.29/58.46  # Other redundant clauses eliminated   : 973
% 1.29/58.46  # Clauses deleted for lack of memory   : 243893
% 1.29/58.46  # Backward-subsumed                    : 50
% 1.29/58.46  # Backward-rewritten                   : 1022
% 1.29/58.46  # Generated clauses                    : 364058
% 1.29/58.46  # ...of the previous two non-trivial   : 345721
% 1.29/58.46  # Contextual simplify-reflections      : 242
% 1.29/58.46  # Paramodulations                      : 362831
% 1.29/58.46  # Factorizations                       : 40
% 1.29/58.46  # Equation resolutions                 : 1149
% 1.29/58.46  # Current number of processed clauses  : 6393
% 1.29/58.46  #    Positive orientable unit clauses  : 1374
% 1.29/58.46  #    Positive unorientable unit clauses: 274
% 1.29/58.46  #    Negative unit clauses             : 213
% 1.29/58.46  #    Non-unit-clauses                  : 4532
% 1.29/58.46  # Current number of unprocessed clauses: 66083
% 1.29/58.46  # ...number of literals in the above   : 170379
% 1.29/58.46  # Current number of archived formulas  : 0
% 1.29/58.46  # Current number of archived clauses   : 1091
% 1.29/58.46  # Clause-clause subsumption calls (NU) : 3944802
% 1.29/58.46  # Rec. Clause-clause subsumption calls : 1376561
% 1.29/58.46  # Non-unit clause-clause subsumptions  : 1506
% 1.29/58.46  # Unit Clause-clause subsumption calls : 378006
% 1.29/58.46  # Rewrite failures with RHS unbound    : 0
% 1.29/58.46  # BW rewrite match attempts            : 33078
% 1.29/58.46  # BW rewrite match successes           : 1402
% 1.29/58.46  # Condensation attempts                : 0
% 1.29/58.46  # Condensation successes               : 0
% 1.29/58.46  # Termbank termtop insertions          : 10062568
% 1.29/58.46  
% 1.29/58.46  # -------------------------------------------------
% 1.29/58.46  # User time                : 10.725 s
% 1.29/58.46  # System time              : 0.143 s
% 1.29/58.46  # Total time               : 10.868 s
% 1.29/58.46  # Maximum resident set size: 175996 pages
% 1.29/70.20  eprover: CPU time limit exceeded, terminating
% 1.29/70.21  eprover: CPU time limit exceeded, terminating
% 1.29/70.22  eprover: CPU time limit exceeded, terminating
% 1.29/70.22  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.29/70.22  eprover: No such file or directory
% 1.29/70.23  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.29/70.23  eprover: No such file or directory
% 1.29/70.23  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.29/70.23  eprover: No such file or directory
% 1.29/70.23  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.23  eprover: No such file or directory
% 1.29/70.24  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.24  eprover: No such file or directory
% 1.29/70.24  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.24  eprover: No such file or directory
% 1.29/70.24  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.29/70.24  eprover: No such file or directory
% 1.29/70.24  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.24  eprover: No such file or directory
% 1.29/70.24  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.29/70.24  eprover: No such file or directory
% 1.29/70.24  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.24  eprover: No such file or directory
% 1.29/70.25  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.25  eprover: No such file or directory
% 1.29/70.25  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.29/70.25  eprover: No such file or directory
% 1.29/70.25  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.25  eprover: No such file or directory
% 1.29/70.25  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.25  eprover: No such file or directory
% 1.29/70.25  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.29/70.25  eprover: No such file or directory
% 1.29/70.26  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.26  eprover: No such file or directory
% 1.29/70.26  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.29/70.26  eprover: No such file or directory
% 1.29/70.26  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.26  eprover: No such file or directory
% 1.29/70.26  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.26  eprover: No such file or directory
% 1.29/70.26  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.29/70.26  eprover: No such file or directory
% 1.29/70.26  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.26  eprover: No such file or directory
% 1.29/70.26  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.26  eprover: No such file or directory
% 1.29/70.27  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.27  eprover: No such file or directory
% 1.29/70.27  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.27  eprover: No such file or directory
% 1.29/70.27  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.27  eprover: No such file or directory
% 1.29/70.27  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.27  eprover: No such file or directory
% 1.29/70.28  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.29/70.28  eprover: No such file or directory
%------------------------------------------------------------------------------