TSTP Solution File: NUM699^4 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUM699^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 01:15:41 EDT 2024

% Result   : Theorem 1.52s 0.62s
% Output   : CNFRefutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   63 (  34 unt;  19 typ;   0 def)
%            Number of atoms       :  175 (  45 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  266 (  28   ~;  14   |;   5   &; 188   @)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   44 (  44   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  19 usr;   5 con; 0-3 aty)
%            Number of variables   :   75 (  64   ^  11   !;   0   ?;  75   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    is_of: $i > ( $i > $o ) > $o ).

thf(decl_23,type,
    all_of: ( $i > $o ) > ( $i > $o ) > $o ).

thf(decl_25,type,
    in: $i > $i > $o ).

thf(decl_47,type,
    ordsucc: $i > $i ).

thf(decl_61,type,
    imp: $o > $o > $o ).

thf(decl_62,type,
    d_not: $o > $o ).

thf(decl_67,type,
    l_or: $o > $o > $o ).

thf(decl_72,type,
    l_some: $i > ( $i > $o ) > $o ).

thf(decl_77,type,
    e_is: $i > $i > $i > $o ).

thf(decl_123,type,
    nat: $i ).

thf(decl_124,type,
    n_is: $i > $i > $o ).

thf(decl_127,type,
    n_some: ( $i > $o ) > $o ).

thf(decl_147,type,
    diffprop: $i > $i > $i > $o ).

thf(decl_148,type,
    d_29_ii: $i > $i > $o ).

thf(decl_149,type,
    iii: $i > $i > $o ).

thf(decl_151,type,
    moreis: $i > $i > $o ).

thf(decl_152,type,
    lessis: $i > $i > $o ).

thf(decl_155,type,
    esk1_0: $i ).

thf(decl_156,type,
    esk2_0: $i ).

thf(def_d_not,axiom,
    ( d_not
    = ( ^ [X76: $o] : ( imp @ X76 @ ~ $true ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_d_not) ).

thf(def_imp,axiom,
    ( imp
    = ( ^ [X74: $o,X75: $o] :
          ( X74
         => X75 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_imp) ).

thf(def_iii,axiom,
    ( iii
    = ( ^ [X1: $i,X211: $i] : ( n_some @ ( diffprop @ X211 @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_iii) ).

thf(def_l_or,axiom,
    ( l_or
    = ( ^ [X83: $o] : ( imp @ ( d_not @ X83 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_l_or) ).

thf(def_e_is,axiom,
    ( e_is
    = ( ^ [X1: $i,X101: $i,X102: $i] : ( X101 = X102 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_e_is) ).

thf(def_d_29_ii,axiom,
    ( d_29_ii
    = ( ^ [X1: $i,X210: $i] : ( n_some @ ( diffprop @ X1 @ X210 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_d_29_ii) ).

thf(def_lessis,axiom,
    ( lessis
    = ( ^ [X1: $i,X230: $i] : ( l_or @ ( iii @ X1 @ X230 ) @ ( n_is @ X1 @ X230 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_lessis) ).

thf(def_n_some,axiom,
    ( n_some
    = ( l_some @ nat ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_some) ).

thf(def_n_is,axiom,
    ( n_is
    = ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_is) ).

thf(def_all_of,axiom,
    ( all_of
    = ( ^ [X3: $i > $o,X2: $i > $o] :
        ! [X4: $i] :
          ( ( is_of @ X4 @ X3 )
         => ( X2 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_all_of) ).

thf(def_is_of,axiom,
    ( is_of
    = ( ^ [X1: $i,X2: $i > $o] : ( X2 @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_is_of) ).

thf(def_moreis,axiom,
    ( moreis
    = ( ^ [X1: $i,X229: $i] : ( l_or @ ( d_29_ii @ X1 @ X229 ) @ ( n_is @ X1 @ X229 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_moreis) ).

thf(satz25c,conjecture,
    ( all_of
    @ ^ [X1: $i] : ( in @ X1 @ nat )
    @ ^ [X1: $i] :
        ( all_of
        @ ^ [X329: $i] : ( in @ X329 @ nat )
        @ ^ [X330: $i] :
            ( ( iii @ X330 @ X1 )
           => ( lessis @ ( ordsucc @ X330 ) @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz25c) ).

thf(satz25a,axiom,
    ( all_of
    @ ^ [X1: $i] : ( in @ X1 @ nat )
    @ ^ [X1: $i] :
        ( all_of
        @ ^ [X325: $i] : ( in @ X325 @ nat )
        @ ^ [X326: $i] :
            ( ( d_29_ii @ X326 @ X1 )
           => ( moreis @ X326 @ ( ordsucc @ X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz25a) ).

thf(c_0_14,plain,
    ( d_not
    = ( ^ [Z0: $o] :
          ( Z0
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_d_not]) ).

thf(c_0_15,plain,
    ( imp
    = ( ^ [Z0: $o,Z1: $o] :
          ( Z0
         => Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[def_imp]) ).

thf(c_0_16,plain,
    ( iii
    = ( ^ [Z0: $i,Z1: $i] : ( l_some @ nat @ ( diffprop @ Z1 @ Z0 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_iii]) ).

thf(c_0_17,plain,
    ( l_or
    = ( ^ [Z0: $o,Z1: $o] :
          ( ( Z0
           => ~ $true )
         => Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[def_l_or]) ).

thf(c_0_18,plain,
    ( d_not
    = ( ^ [Z0: $o] :
          ( Z0
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[c_0_14,c_0_15]) ).

thf(c_0_19,plain,
    ( e_is
    = ( ^ [Z0: $i,Z1: $i,Z2: $i] : ( Z1 = Z2 ) ) ),
    inference(fof_simplification,[status(thm)],[def_e_is]) ).

thf(c_0_20,plain,
    ( d_29_ii
    = ( ^ [Z0: $i,Z1: $i] : ( l_some @ nat @ ( diffprop @ Z0 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_d_29_ii]) ).

thf(c_0_21,plain,
    ( lessis
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( ( l_some @ nat @ ( diffprop @ Z1 @ Z0 ) )
           => ~ $true )
         => ( Z0 = Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_lessis]) ).

thf(c_0_22,plain,
    ( iii
    = ( ^ [Z0: $i,Z1: $i] : ( l_some @ nat @ ( diffprop @ Z1 @ Z0 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_16,def_n_some]) ).

thf(c_0_23,plain,
    ( l_or
    = ( ^ [Z0: $o,Z1: $o] :
          ( ( Z0
           => ~ $true )
         => Z1 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17,c_0_15]),c_0_18]) ).

thf(c_0_24,axiom,
    ( n_is
    = ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
    inference(apply_def,[status(thm)],[def_n_is,c_0_19]) ).

thf(c_0_25,plain,
    ( all_of
    = ( ^ [Z0: $i > $o,Z1: $i > $o] :
        ! [X4: $i] :
          ( ( Z0 @ X4 )
         => ( Z1 @ X4 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_all_of]) ).

thf(c_0_26,plain,
    ( is_of
    = ( ^ [Z0: $i,Z1: $i > $o] : ( Z1 @ Z0 ) ) ),
    inference(fof_simplification,[status(thm)],[def_is_of]) ).

thf(c_0_27,plain,
    ( moreis
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( ( l_some @ nat @ ( diffprop @ Z0 @ Z1 ) )
           => ~ $true )
         => ( Z0 = Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_moreis]) ).

thf(c_0_28,plain,
    ( d_29_ii
    = ( ^ [Z0: $i,Z1: $i] : ( l_some @ nat @ ( diffprop @ Z0 @ Z1 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_20,def_n_some]) ).

thf(c_0_29,plain,
    ( lessis
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( ( l_some @ nat @ ( diffprop @ Z1 @ Z0 ) )
           => ~ $true )
         => ( Z0 = Z1 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]) ).

thf(c_0_30,plain,
    ( all_of
    = ( ^ [Z0: $i > $o,Z1: $i > $o] :
        ! [X4: $i] :
          ( ( Z0 @ X4 )
         => ( Z1 @ X4 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_25,c_0_26]) ).

thf(c_0_31,plain,
    ( moreis
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( ( l_some @ nat @ ( diffprop @ Z0 @ Z1 ) )
           => ~ $true )
         => ( Z0 = Z1 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27,c_0_28]),c_0_23]),c_0_24]) ).

thf(c_0_32,negated_conjecture,
    ~ ! [X422: $i] :
        ( ( in @ X422 @ nat )
       => ! [X421: $i] :
            ( ( in @ X421 @ nat )
           => ( ( l_some @ nat @ ( diffprop @ X422 @ X421 ) )
             => ( ( ( l_some @ nat @ ( diffprop @ X422 @ ( ordsucc @ X421 ) ) )
                 => ~ $true )
               => ( ( ordsucc @ X421 )
                  = X422 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz25c])]),c_0_29]),c_0_22]),c_0_30]) ).

thf(c_0_33,plain,
    ! [X568: $i] :
      ( ( in @ X568 @ nat )
     => ! [X567: $i] :
          ( ( in @ X567 @ nat )
         => ( ( l_some @ nat @ ( diffprop @ X567 @ X568 ) )
           => ( ( ( l_some @ nat @ ( diffprop @ X567 @ ( ordsucc @ X568 ) ) )
               => ~ $true )
             => ( X567
                = ( ordsucc @ X568 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz25a]),c_0_28]),c_0_30]),c_0_31]) ).

thf(c_0_34,negated_conjecture,
    ( ( in @ esk1_0 @ nat )
    & ( in @ esk2_0 @ nat )
    & ( l_some @ nat @ ( diffprop @ esk1_0 @ esk2_0 ) )
    & ( ~ ( l_some @ nat @ ( diffprop @ esk1_0 @ ( ordsucc @ esk2_0 ) ) )
      | ~ $true )
    & ( ( ordsucc @ esk2_0 )
     != esk1_0 ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).

thf(c_0_35,plain,
    ! [X807: $i,X808: $i] :
      ( ( ( l_some @ nat @ ( diffprop @ X808 @ ( ordsucc @ X807 ) ) )
        | ( X808
          = ( ordsucc @ X807 ) )
        | ~ ( l_some @ nat @ ( diffprop @ X808 @ X807 ) )
        | ~ ( in @ X808 @ nat )
        | ~ ( in @ X807 @ nat ) )
      & ( $true
        | ( X808
          = ( ordsucc @ X807 ) )
        | ~ ( l_some @ nat @ ( diffprop @ X808 @ X807 ) )
        | ~ ( in @ X808 @ nat )
        | ~ ( in @ X807 @ nat ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])]) ).

thf(c_0_36,negated_conjecture,
    ( ~ ( l_some @ nat @ ( diffprop @ esk1_0 @ ( ordsucc @ esk2_0 ) ) )
    | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

thf(c_0_37,plain,
    ! [X1: $i,X4: $i] :
      ( ( l_some @ nat @ ( diffprop @ X1 @ ( ordsucc @ X4 ) ) )
      | ( X1
        = ( ordsucc @ X4 ) )
      | ~ ( l_some @ nat @ ( diffprop @ X1 @ X4 ) )
      | ~ ( in @ X1 @ nat )
      | ~ ( in @ X4 @ nat ) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

thf(c_0_38,negated_conjecture,
    l_some @ nat @ ( diffprop @ esk1_0 @ esk2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

thf(c_0_39,negated_conjecture,
    in @ esk2_0 @ nat,
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

thf(c_0_40,negated_conjecture,
    in @ esk1_0 @ nat,
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

thf(c_0_41,negated_conjecture,
    ( ( ordsucc @ esk2_0 )
   != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

thf(c_0_42,negated_conjecture,
    ~ ( l_some @ nat @ ( diffprop @ esk1_0 @ ( ordsucc @ esk2_0 ) ) ),
    inference(cn,[status(thm)],[c_0_36]) ).

thf(c_0_43,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40])]),c_0_41]),c_0_42]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : NUM699^4 : TPTP v8.2.0. Released v7.1.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.10/0.29  % Computer : n014.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Mon May 20 05:43:07 EDT 2024
% 0.10/0.29  % CPUTime    : 
% 0.14/0.39  Running higher-order theorem proving
% 0.14/0.39  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
% 0.14/0.44  # Type mismatch in argument #1 of prop2 @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1) @ db(0): expected $i but got $o
% 0.14/0.44  eprover: Type error
% 0.14/0.46  # Type mismatch in argument #1 of prop2 @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1) @ db(0): expected $i but got $o
% 0.14/0.46  eprover: Type error
% 0.14/0.47  # Type mismatch in argument #1 of prop2 @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1) @ db(0): expected $i but got $o
% 0.14/0.47  eprover: Type error
% 0.14/0.50  # Type mismatch in argument #1 of prop2 @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1) @ db(0): expected $i but got $o
% 0.14/0.50  eprover: Type error
% 0.14/0.51  # Type mismatch in argument #1 of prop2 @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1) @ db(0): expected $i but got $o
% 0.14/0.51  eprover: Type error
% 0.14/0.52  # Type mismatch in argument #1 of indeq @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ (d_11_i @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1)) @ db(0): expected $i but got $o
% 0.14/0.52  eprover: Type error
% 0.14/0.53  # Type mismatch in argument #1 of prop2 @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1) @ db(0): expected $i but got $o
% 0.14/0.53  eprover: Type error
% 0.14/0.54  # Type mismatch in argument #1 of prop2 @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1) @ db(0): expected $i but got $o
% 0.14/0.54  eprover: Type error
% 0.14/0.55  # Type mismatch in argument #1 of prop2 @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1) @ db(0): expected $i but got $o
% 0.14/0.55  eprover: Type error
% 0.14/0.56  # Type mismatch in argument #1 of prop2 @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1) @ db(0): expected $i but got $o
% 0.14/0.56  eprover: Type error
% 0.14/0.59  # Type mismatch in argument #1 of prop2 @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1) @ db(0): expected $i but got $o
% 0.14/0.59  eprover: Type error
% 1.52/0.62  # Version: 3.1.0-ho
% 1.52/0.62  # Preprocessing class: HSLMSMSSLLLCHSA.
% 1.52/0.62  # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.52/0.62  # Starting lpo1_fix with 900s (3) cores
% 1.52/0.62  # Starting full_lambda_9 with 300s (1) cores
% 1.52/0.62  # Starting almost_fo_4 with 300s (1) cores
% 1.52/0.62  # Starting new_ho_9 with 300s (1) cores
% 1.52/0.62  # Starting pre_casc_4 with 300s (1) cores
% 1.52/0.62  # Starting ho_unfolding_6 with 300s (1) cores
% 1.52/0.62  # full_lambda_9 with pid 23479 completed with status 0
% 1.52/0.62  # Result found by full_lambda_9
% 1.52/0.62  # Preprocessing class: HSLMSMSSLLLCHSA.
% 1.52/0.62  # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.52/0.62  # Starting lpo1_fix with 900s (3) cores
% 1.52/0.62  # Starting full_lambda_9 with 300s (1) cores
% 1.52/0.62  # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 1.52/0.62  # Search class: HGHSM-FSLM32-DHSMMSBN
% 1.52/0.62  # partial match(1): HGHSM-FSLM32-MHSMMSBN
% 1.52/0.62  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 1.52/0.62  # Starting full_lambda_5 with 25s (1) cores
% 1.52/0.62  # full_lambda_5 with pid 23484 completed with status 3
% 1.52/0.62  # Starting full_lambda_9 with 31s (1) cores
% 1.52/0.62  # full_lambda_9 with pid 23485 completed with status 3
% 1.52/0.62  # Starting pre_casc_4 with 25s (1) cores
% 1.52/0.62  # pre_casc_4 with pid 23488 completed with status 3
% 1.52/0.62  # Starting pre_casc_3 with 25s (1) cores
% 1.52/0.62  # pre_casc_3 with pid 23494 completed with status 3
% 1.52/0.62  # Starting almost_fo_4 with 25s (1) cores
% 1.52/0.62  # almost_fo_4 with pid 23495 completed with status 3
% 1.52/0.62  # Starting post_as_ho9 with 25s (1) cores
% 1.52/0.62  # post_as_ho9 with pid 23498 completed with status 3
% 1.52/0.62  # Starting new_ho_9 with 25s (1) cores
% 1.52/0.62  # new_ho_9 with pid 23506 completed with status 3
% 1.52/0.62  # Starting ho_unfolding_8 with 25s (1) cores
% 1.52/0.62  # ho_unfolding_8 with pid 23511 completed with status 3
% 1.52/0.62  # Starting lpo1_fix with 25s (1) cores
% 1.52/0.62  # lpo1_fix with pid 23514 completed with status 3
% 1.52/0.62  # Starting post_as_ho5 with 25s (1) cores
% 1.52/0.62  # post_as_ho5 with pid 23539 completed with status 3
% 1.52/0.62  # Starting ho_unfolding_6 with 25s (1) cores
% 1.52/0.62  # ho_unfolding_6 with pid 23545 completed with status 0
% 1.52/0.62  # Result found by ho_unfolding_6
% 1.52/0.62  # Preprocessing class: HSLMSMSSLLLCHSA.
% 1.52/0.62  # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.52/0.62  # Starting lpo1_fix with 900s (3) cores
% 1.52/0.62  # Starting full_lambda_9 with 300s (1) cores
% 1.52/0.62  # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 1.52/0.62  # Search class: HGHSM-FSLM32-DHSMMSBN
% 1.52/0.62  # partial match(1): HGHSM-FSLM32-MHSMMSBN
% 1.52/0.62  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 1.52/0.62  # Starting full_lambda_5 with 25s (1) cores
% 1.52/0.62  # full_lambda_5 with pid 23484 completed with status 3
% 1.52/0.62  # Starting full_lambda_9 with 31s (1) cores
% 1.52/0.62  # full_lambda_9 with pid 23485 completed with status 3
% 1.52/0.62  # Starting pre_casc_4 with 25s (1) cores
% 1.52/0.62  # pre_casc_4 with pid 23488 completed with status 3
% 1.52/0.62  # Starting pre_casc_3 with 25s (1) cores
% 1.52/0.62  # pre_casc_3 with pid 23494 completed with status 3
% 1.52/0.62  # Starting almost_fo_4 with 25s (1) cores
% 1.52/0.62  # almost_fo_4 with pid 23495 completed with status 3
% 1.52/0.62  # Starting post_as_ho9 with 25s (1) cores
% 1.52/0.62  # post_as_ho9 with pid 23498 completed with status 3
% 1.52/0.62  # Starting new_ho_9 with 25s (1) cores
% 1.52/0.62  # new_ho_9 with pid 23506 completed with status 3
% 1.52/0.62  # Starting ho_unfolding_8 with 25s (1) cores
% 1.52/0.62  # ho_unfolding_8 with pid 23511 completed with status 3
% 1.52/0.62  # Starting lpo1_fix with 25s (1) cores
% 1.52/0.62  # lpo1_fix with pid 23514 completed with status 3
% 1.52/0.62  # Starting post_as_ho5 with 25s (1) cores
% 1.52/0.62  # post_as_ho5 with pid 23539 completed with status 3
% 1.52/0.62  # Starting ho_unfolding_6 with 25s (1) cores
% 1.52/0.62  # Preprocessing time       : 0.005 s
% 1.52/0.62  
% 1.52/0.62  # Proof found!
% 1.52/0.62  # SZS status Theorem
% 1.52/0.62  # SZS output start CNFRefutation
% See solution above
% 1.52/0.62  # Parsed axioms                        : 404
% 1.52/0.62  # Removed by relevancy pruning/SinE    : 231
% 1.52/0.62  # Initial clauses                      : 427
% 1.52/0.62  # Removed in clause preprocessing      : 189
% 1.52/0.62  # Initial clauses in saturation        : 238
% 1.52/0.62  # Processed clauses                    : 101
% 1.52/0.62  # ...of these trivial                  : 3
% 1.52/0.62  # ...subsumed                          : 15
% 1.52/0.62  # ...remaining for further processing  : 83
% 1.52/0.62  # Other redundant clauses eliminated   : 11
% 1.52/0.62  # Clauses deleted for lack of memory   : 0
% 1.52/0.62  # Backward-subsumed                    : 0
% 1.52/0.62  # Backward-rewritten                   : 0
% 1.52/0.62  # Generated clauses                    : 214
% 1.52/0.62  # ...of the previous two non-redundant : 194
% 1.52/0.62  # ...aggressively subsumed             : 0
% 1.52/0.62  # Contextual simplify-reflections      : 0
% 1.52/0.62  # Paramodulations                      : 158
% 1.52/0.62  # Factorizations                       : 0
% 1.52/0.62  # NegExts                              : 0
% 1.52/0.62  # Equation resolutions                 : 12
% 1.52/0.62  # Disequality decompositions           : 0
% 1.52/0.62  # Total rewrite steps                  : 18
% 1.52/0.62  # ...of those cached                   : 11
% 1.52/0.62  # Propositional unsat checks           : 0
% 1.52/0.62  #    Propositional check models        : 0
% 1.52/0.62  #    Propositional check unsatisfiable : 0
% 1.52/0.62  #    Propositional clauses             : 0
% 1.52/0.62  #    Propositional clauses after purity: 0
% 1.52/0.62  #    Propositional unsat core size     : 0
% 1.52/0.62  #    Propositional preprocessing time  : 0.000
% 1.52/0.62  #    Propositional encoding time       : 0.000
% 1.52/0.62  #    Propositional solver time         : 0.000
% 1.52/0.62  #    Success case prop preproc time    : 0.000
% 1.52/0.62  #    Success case prop encoding time   : 0.000
% 1.52/0.62  #    Success case prop solver time     : 0.000
% 1.52/0.62  # Current number of processed clauses  : 76
% 1.52/0.62  #    Positive orientable unit clauses  : 25
% 1.52/0.62  #    Positive unorientable unit clauses: 0
% 1.52/0.62  #    Negative unit clauses             : 4
% 1.52/0.62  #    Non-unit-clauses                  : 47
% 1.52/0.62  # Current number of unprocessed clauses: 329
% 1.52/0.62  # ...number of literals in the above   : 1128
% 1.52/0.62  # Current number of archived formulas  : 0
% 1.52/0.62  # Current number of archived clauses   : 0
% 1.52/0.62  # Clause-clause subsumption calls (NU) : 619
% 1.52/0.62  # Rec. Clause-clause subsumption calls : 332
% 1.52/0.62  # Non-unit clause-clause subsumptions  : 15
% 1.52/0.62  # Unit Clause-clause subsumption calls : 1
% 1.52/0.62  # Rewrite failures with RHS unbound    : 0
% 1.52/0.62  # BW rewrite match attempts            : 2
% 1.52/0.62  # BW rewrite match successes           : 0
% 1.52/0.62  # Condensation attempts                : 101
% 1.52/0.62  # Condensation successes               : 0
% 1.52/0.62  # Termbank termtop insertions          : 66443
% 1.52/0.62  # Search garbage collected termcells   : 20577
% 1.52/0.62  
% 1.52/0.62  # -------------------------------------------------
% 1.52/0.62  # User time                : 0.108 s
% 1.52/0.62  # System time              : 0.044 s
% 1.52/0.62  # Total time               : 0.153 s
% 1.52/0.62  # Maximum resident set size: 5548 pages
% 1.52/0.62  
% 1.52/0.62  # -------------------------------------------------
% 1.52/0.62  # User time                : 0.118 s
% 1.52/0.62  # System time              : 0.047 s
% 1.52/0.62  # Total time               : 0.165 s
% 1.52/0.62  # Maximum resident set size: 2396 pages
% 1.52/0.62  % E---3.1 exiting
% 1.69/0.62  % E exiting
%------------------------------------------------------------------------------