TSTP Solution File: NUM926^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUM926^1 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Tue May 21 01:17:54 EDT 2024

% Result   : Theorem 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   60 (  26 unt;  19 typ;   0 def)
%            Number of atoms       :   64 (  45 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  490 (  26   ~;  15   |;   4   &; 441   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :   48 (   0   ^  40   !;   8   ?;  48   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    int: $tType ).

thf(decl_sort2,type,
    nat: $tType ).

thf(decl_22,type,
    one_one_int: int ).

thf(decl_24,type,
    plus_plus_int: int > int > int ).

thf(decl_26,type,
    times_times_int: int > int > int ).

thf(decl_29,type,
    bit0: int > int ).

thf(decl_30,type,
    bit1: int > int ).

thf(decl_31,type,
    pls: int ).

thf(decl_32,type,
    number_number_of_int: int > int ).

thf(decl_33,type,
    number_number_of_nat: int > nat ).

thf(decl_34,type,
    ord_less_int: int > int > $o ).

thf(decl_36,type,
    ord_less_eq_int: int > int > $o ).

thf(decl_38,type,
    power_power_int: int > nat > int ).

thf(decl_41,type,
    m: int ).

thf(decl_43,type,
    t: int ).

thf(decl_44,type,
    esk1_0: int ).

thf(decl_45,type,
    esk2_0: int ).

thf(decl_46,type,
    esk3_0: int ).

thf(decl_47,type,
    esk4_0: int ).

thf(conj_0,conjecture,
    ? [X1: int,X2: int] :
      ( ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(fact_111_number__of__is__id,axiom,
    ! [X24: int] :
      ( ( number_number_of_int @ X24 )
      = X24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_number__of__is__id) ).

thf(fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
    ! [X140: int,X141: int] :
      ( ( plus_plus_int @ X140 @ X141 )
      = ( plus_plus_int @ X141 @ X140 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

thf(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 )
   => ? [X1: int,X2: int] :
        ( ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
        = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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) ).

thf(fact_90_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
    ! [X104: int,X105: int] :
      ( ( times_times_int @ X104 @ X105 )
      = ( times_times_int @ X105 @ X104 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).

thf(fact_16_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
    ! [X10: int] :
      ( ( times_times_int @ X10 @ X10 )
      = ( power_power_int @ X10 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).

thf(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,
    ( ( ord_less_int @ one_one_int @ t )
   => ? [X1: int,X2: int] :
        ( ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
        = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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) ).

thf(fact_28_zless__le,axiom,
    ! [X21: int,X20: int] :
      ( ( ord_less_int @ X21 @ X20 )
    <=> ( ( ord_less_eq_int @ X21 @ X20 )
        & ( X21 != X20 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_zless__le) ).

thf(fact_0_tpos,axiom,
    ord_less_eq_int @ one_one_int @ t,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).

thf(c_0_9,negated_conjecture,
    ~ ? [X1: int,X2: int] :
        ( ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
        = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

thf(c_0_10,negated_conjecture,
    ! [X376: int,X377: int] :
      ( ( plus_plus_int @ ( power_power_int @ X376 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X377 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
     != ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

thf(c_0_11,plain,
    ! [X478: int] :
      ( ( number_number_of_int @ X478 )
      = X478 ),
    inference(variable_rename,[status(thm)],[fact_111_number__of__is__id]) ).

thf(c_0_12,negated_conjecture,
    ! [X1: int,X2: int] :
      ( ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
     != ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_13,plain,
    ! [X1: int] :
      ( ( number_number_of_int @ X1 )
      = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_14,plain,
    ! [X404: int,X405: int] :
      ( ( plus_plus_int @ X404 @ X405 )
      = ( plus_plus_int @ X405 @ X404 ) ),
    inference(variable_rename,[status(thm)],[fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).

thf(c_0_15,plain,
    ( ( t != one_one_int )
    | ( ( plus_plus_int @ ( power_power_int @ esk1_0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ esk2_0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[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])])])]) ).

thf(c_0_16,negated_conjecture,
    ! [X1: int,X2: int] :
      ( ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
     != ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) ),
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

thf(c_0_17,plain,
    ! [X2: int,X1: int] :
      ( ( plus_plus_int @ X1 @ X2 )
      = ( plus_plus_int @ X2 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

thf(c_0_18,plain,
    ! [X446: int,X447: int] :
      ( ( times_times_int @ X446 @ X447 )
      = ( times_times_int @ X447 @ X446 ) ),
    inference(variable_rename,[status(thm)],[fact_90_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).

thf(c_0_19,plain,
    ( ( ( plus_plus_int @ ( power_power_int @ esk1_0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ esk2_0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) )
    | ( t != one_one_int ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_20,plain,
    ! [X498: int] :
      ( ( times_times_int @ X498 @ X498 )
      = ( power_power_int @ X498 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ),
    inference(variable_rename,[status(thm)],[fact_16_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J]) ).

thf(c_0_21,negated_conjecture,
    ! [X1: int,X2: int] :
      ( ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
     != ( plus_plus_int @ one_one_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) ) ),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

thf(c_0_22,plain,
    ! [X2: int,X1: int] :
      ( ( times_times_int @ X1 @ X2 )
      = ( times_times_int @ X2 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_23,plain,
    ( ( ( plus_plus_int @ ( power_power_int @ esk1_0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ esk2_0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) )
    | ( t != one_one_int ) ),
    inference(rw,[status(thm)],[c_0_19,c_0_13]) ).

thf(c_0_24,plain,
    ! [X1: int] :
      ( ( times_times_int @ X1 @ X1 )
      = ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_25,negated_conjecture,
    ! [X1: int,X2: int] :
      ( ( plus_plus_int @ ( power_power_int @ X1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
     != ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ),
    inference(rw,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_26,plain,
    ( ( ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int )
      = ( plus_plus_int @ ( times_times_int @ esk1_0 @ esk1_0 ) @ ( times_times_int @ esk2_0 @ esk2_0 ) ) )
    | ( t != one_one_int ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_24]) ).

thf(c_0_27,plain,
    ( ~ ( ord_less_int @ one_one_int @ t )
    | ( ( plus_plus_int @ ( power_power_int @ esk3_0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ esk4_0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[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])])])]) ).

thf(c_0_28,plain,
    ! [X21: int,X20: int] :
      ( ( ord_less_int @ X21 @ X20 )
    <=> ( ( ord_less_eq_int @ X21 @ X20 )
        & ( X21 != X20 ) ) ),
    inference(fof_simplification,[status(thm)],[fact_28_zless__le]) ).

thf(c_0_29,negated_conjecture,
    ! [X1: int,X2: int] :
      ( ( plus_plus_int @ ( times_times_int @ X1 @ X1 ) @ ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
     != ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ),
    inference(spm,[status(thm)],[c_0_25,c_0_24]) ).

thf(c_0_30,plain,
    ( ( ( plus_plus_int @ ( times_times_int @ esk1_0 @ esk1_0 ) @ ( times_times_int @ esk2_0 @ esk2_0 ) )
      = ( plus_plus_int @ one_one_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) ) )
    | ( t != one_one_int ) ),
    inference(rw,[status(thm)],[c_0_26,c_0_17]) ).

thf(c_0_31,plain,
    ( ( ( plus_plus_int @ ( power_power_int @ esk3_0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ esk4_0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) )
    | ~ ( ord_less_int @ one_one_int @ t ) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

thf(c_0_32,plain,
    ! [X516: int,X517: int] :
      ( ( ( ord_less_eq_int @ X516 @ X517 )
        | ~ ( ord_less_int @ X516 @ X517 ) )
      & ( ( X516 != X517 )
        | ~ ( ord_less_int @ X516 @ X517 ) )
      & ( ~ ( ord_less_eq_int @ X516 @ X517 )
        | ( X516 = X517 )
        | ( ord_less_int @ X516 @ X517 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).

thf(c_0_33,negated_conjecture,
    ! [X1: int,X2: int] :
      ( ( plus_plus_int @ ( times_times_int @ X1 @ X1 ) @ ( times_times_int @ X2 @ X2 ) )
     != ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_24]) ).

thf(c_0_34,plain,
    ( ( ( plus_plus_int @ ( times_times_int @ esk1_0 @ esk1_0 ) @ ( times_times_int @ esk2_0 @ esk2_0 ) )
      = ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
    | ( t != one_one_int ) ),
    inference(rw,[status(thm)],[c_0_30,c_0_22]) ).

thf(c_0_35,plain,
    ( ( ( plus_plus_int @ ( times_times_int @ esk3_0 @ esk3_0 ) @ ( times_times_int @ esk4_0 @ esk4_0 ) )
      = ( plus_plus_int @ one_one_int @ ( times_times_int @ m @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
    | ~ ( 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)],[c_0_31,c_0_24]),c_0_24]),c_0_13]),c_0_22]),c_0_17]) ).

thf(c_0_36,plain,
    ! [X1: int,X2: int] :
      ( ( X1 = X2 )
      | ( ord_less_int @ X1 @ X2 )
      | ~ ( ord_less_eq_int @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_37,plain,
    ord_less_eq_int @ one_one_int @ t,
    inference(split_conjunct,[status(thm)],[fact_0_tpos]) ).

thf(c_0_38,negated_conjecture,
    t != one_one_int,
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

thf(c_0_39,negated_conjecture,
    ~ ( ord_less_int @ one_one_int @ t ),
    inference(spm,[status(thm)],[c_0_33,c_0_35]) ).

thf(c_0_40,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM926^1 : TPTP v8.2.0. Released v5.3.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 07:23:22 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running higher-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  # Version: 3.1.0-ho
% 0.19/0.51  # Preprocessing class: HSLSSMSSSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.51  # Starting sh5l with 300s (1) cores
% 0.19/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51  # Starting new_bool_2 with 300s (1) cores
% 0.19/0.51  # new_bool_1 with pid 21990 completed with status 0
% 0.19/0.51  # Result found by new_bool_1
% 0.19/0.51  # Preprocessing class: HSLSSMSSSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.51  # Starting sh5l with 300s (1) cores
% 0.19/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.51  # Search class: HGHSM-FFMS21-DFFFFFNN
% 0.19/0.51  # partial match(1): FGHSM-FFMS21-DFFFFFNN
% 0.19/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51  # Starting new_ho_10 with 55s (1) cores
% 0.19/0.51  # new_ho_10 with pid 21993 completed with status 0
% 0.19/0.51  # Result found by new_ho_10
% 0.19/0.51  # Preprocessing class: HSLSSMSSSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.51  # Starting sh5l with 300s (1) cores
% 0.19/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.51  # Search class: HGHSM-FFMS21-DFFFFFNN
% 0.19/0.51  # partial match(1): FGHSM-FFMS21-DFFFFFNN
% 0.19/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51  # Starting new_ho_10 with 55s (1) cores
% 0.19/0.51  # Preprocessing time       : 0.003 s
% 0.19/0.51  # Presaturation interreduction done
% 0.19/0.51  
% 0.19/0.51  # Proof found!
% 0.19/0.51  # SZS status Theorem
% 0.19/0.51  # SZS output start CNFRefutation
% See solution above
% 0.19/0.52  # Parsed axioms                        : 148
% 0.19/0.52  # Removed by relevancy pruning/SinE    : 44
% 0.19/0.52  # Initial clauses                      : 142
% 0.19/0.52  # Removed in clause preprocessing      : 7
% 0.19/0.52  # Initial clauses in saturation        : 135
% 0.19/0.52  # Processed clauses                    : 245
% 0.19/0.52  # ...of these trivial                  : 26
% 0.19/0.52  # ...subsumed                          : 40
% 0.19/0.52  # ...remaining for further processing  : 179
% 0.19/0.52  # Other redundant clauses eliminated   : 1
% 0.19/0.52  # Clauses deleted for lack of memory   : 0
% 0.19/0.52  # Backward-subsumed                    : 3
% 0.19/0.52  # Backward-rewritten                   : 9
% 0.19/0.52  # Generated clauses                    : 258
% 0.19/0.52  # ...of the previous two non-redundant : 218
% 0.19/0.52  # ...aggressively subsumed             : 0
% 0.19/0.52  # Contextual simplify-reflections      : 0
% 0.19/0.52  # Paramodulations                      : 253
% 0.19/0.52  # Factorizations                       : 0
% 0.19/0.52  # NegExts                              : 0
% 0.19/0.52  # Equation resolutions                 : 3
% 0.19/0.52  # Disequality decompositions           : 0
% 0.19/0.52  # Total rewrite steps                  : 193
% 0.19/0.52  # ...of those cached                   : 97
% 0.19/0.52  # Propositional unsat checks           : 0
% 0.19/0.52  #    Propositional check models        : 0
% 0.19/0.52  #    Propositional check unsatisfiable : 0
% 0.19/0.52  #    Propositional clauses             : 0
% 0.19/0.52  #    Propositional clauses after purity: 0
% 0.19/0.52  #    Propositional unsat core size     : 0
% 0.19/0.52  #    Propositional preprocessing time  : 0.000
% 0.19/0.52  #    Propositional encoding time       : 0.000
% 0.19/0.52  #    Propositional solver time         : 0.000
% 0.19/0.52  #    Success case prop preproc time    : 0.000
% 0.19/0.52  #    Success case prop encoding time   : 0.000
% 0.19/0.52  #    Success case prop solver time     : 0.000
% 0.19/0.52  # Current number of processed clauses  : 85
% 0.19/0.52  #    Positive orientable unit clauses  : 24
% 0.19/0.52  #    Positive unorientable unit clauses: 7
% 0.19/0.52  #    Negative unit clauses             : 11
% 0.19/0.52  #    Non-unit-clauses                  : 43
% 0.19/0.52  # Current number of unprocessed clauses: 182
% 0.19/0.52  # ...number of literals in the above   : 267
% 0.19/0.52  # Current number of archived formulas  : 0
% 0.19/0.52  # Current number of archived clauses   : 93
% 0.19/0.52  # Clause-clause subsumption calls (NU) : 551
% 0.19/0.52  # Rec. Clause-clause subsumption calls : 523
% 0.19/0.52  # Non-unit clause-clause subsumptions  : 20
% 0.19/0.52  # Unit Clause-clause subsumption calls : 85
% 0.19/0.52  # Rewrite failures with RHS unbound    : 0
% 0.19/0.52  # BW rewrite match attempts            : 138
% 0.19/0.52  # BW rewrite match successes           : 112
% 0.19/0.52  # Condensation attempts                : 245
% 0.19/0.52  # Condensation successes               : 0
% 0.19/0.52  # Termbank termtop insertions          : 13875
% 0.19/0.52  # Search garbage collected termcells   : 1771
% 0.19/0.52  
% 0.19/0.52  # -------------------------------------------------
% 0.19/0.52  # User time                : 0.024 s
% 0.19/0.52  # System time              : 0.003 s
% 0.19/0.52  # Total time               : 0.027 s
% 0.19/0.52  # Maximum resident set size: 2584 pages
% 0.19/0.52  
% 0.19/0.52  # -------------------------------------------------
% 0.19/0.52  # User time                : 0.028 s
% 0.19/0.52  # System time              : 0.006 s
% 0.19/0.52  # Total time               : 0.034 s
% 0.19/0.52  # Maximum resident set size: 1932 pages
% 0.19/0.52  % E---3.1 exiting
% 0.19/0.52  % E exiting
%------------------------------------------------------------------------------