TSTP Solution File: PLA054^4 by E---3.1.00

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%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : PLA054^4 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 02:19:23 EDT 2024

% Result   : Theorem 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   64 (  21 unt;  20 typ;   0 def)
%            Number of atoms       :  181 (  14 equ;   0 cnn)
%            Maximal formula atoms :   25 (   4 avg)
%            Number of connectives :  458 (  55   ~;  49   |;  18   &; 312   @)
%                                         (   1 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   65 (  65   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   5 con; 0-3 aty)
%            Number of variables   :  112 (  35   ^  71   !;   6   ?; 112   :)

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

thf(decl_22,type,
    mrel: mworld > mworld > $o ).

thf(decl_23,type,
    mactual: mworld ).

thf(decl_24,type,
    mlocal: ( mworld > $o ) > $o ).

thf(decl_25,type,
    mnot: ( mworld > $o ) > mworld > $o ).

thf(decl_26,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(decl_28,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(decl_30,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(decl_32,type,
    mforall_di: ( $i > mworld > $o ) > mworld > $o ).

thf(decl_33,type,
    mexists_di: ( $i > mworld > $o ) > mworld > $o ).

thf(decl_34,type,
    d: $i ).

thf(decl_36,type,
    o: $i ).

thf(decl_37,type,
    h: $i > mworld > $o ).

thf(decl_38,type,
    closed: $i > mworld > $o ).

thf(decl_39,type,
    combo: $i > $i > mworld > $o ).

thf(decl_40,type,
    open: $i > mworld > $o ).

thf(decl_41,type,
    epred1_1: mworld > $o ).

thf(decl_43,type,
    esk2_0: mworld ).

thf(decl_44,type,
    esk3_2: $i > $i > mworld ).

thf(decl_45,type,
    esk4_3: mworld > $i > $i > $i ).

thf(mlocal_def,axiom,
    ( mlocal
    = ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).

thf(mand_def,axiom,
    ( mand
    = ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
          ( ( X2 @ X3 )
          & ( X4 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).

thf(mimplies_def,axiom,
    ( mimplies
    = ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
          ( ( X2 @ X3 )
         => ( X4 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).

thf(mbox_def,axiom,
    ( mbox
    = ( ^ [X1: mworld > $o,X3: mworld] :
        ! [X5: mworld] :
          ( ( mrel @ X3 @ X5 )
         => ( X1 @ X5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).

thf(mexists_di_def,axiom,
    ( mexists_di
    = ( ^ [X9: $i > mworld > $o,X3: mworld] :
        ? [X8: $i] : ( X9 @ X8 @ X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def) ).

thf(con,conjecture,
    ( mlocal
    @ ( mbox
      @ ( mexists_di
        @ ^ [X14: $i] :
            ( mexists_di
            @ ^ [X12: $i] : ( mimplies @ ( mbox @ ( mand @ ( combo @ d @ X14 ) @ ( h @ X12 ) ) ) @ ( mbox @ ( open @ d ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(ax2,axiom,
    mlocal @ ( mbox @ ( closed @ d ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

thf(mnot_def,axiom,
    ( mnot
    = ( ^ [X2: mworld > $o,X3: mworld] :
          ~ ( X2 @ X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def) ).

thf(mforall_di_def,axiom,
    ( mforall_di
    = ( ^ [X7: $i > mworld > $o,X3: mworld] :
        ! [X8: $i] : ( X7 @ X8 @ X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def) ).

thf(mrel_reflexive,axiom,
    ! [X3: mworld] : ( mrel @ X3 @ X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).

thf(ax1,axiom,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [X10: $i] :
            ( mforall_di
            @ ^ [X11: $i] :
                ( mexists_di
                @ ^ [X12: $i] : ( mand @ ( mbox @ ( mimplies @ ( mand @ ( closed @ X10 ) @ ( mand @ ( combo @ X10 @ X11 ) @ ( h @ X12 ) ) ) @ ( mbox @ ( open @ X10 ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( closed @ X10 ) @ ( mand @ ( mnot @ ( combo @ X10 @ X11 ) ) @ ( h @ o ) ) ) @ ( mbox @ ( closed @ X10 ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

thf(c_0_11,plain,
    ! [X26: mworld] :
      ( ( epred1_1 @ X26 )
    <=> ! [X25: $i,X24: $i] :
        ? [X23: $i] :
          ( ! [X20: mworld] :
              ( ( mrel @ X26 @ X20 )
             => ( ( ( closed @ X25 @ X20 )
                  & ( combo @ X25 @ X24 @ X20 )
                  & ( h @ X23 @ X20 ) )
               => ! [X19: mworld] :
                    ( ( mrel @ X20 @ X19 )
                   => ( open @ X25 @ X19 ) ) ) )
          & ! [X22: mworld] :
              ( ( mrel @ X26 @ X22 )
             => ( ( ( closed @ X25 @ X22 )
                  & ~ ( combo @ X25 @ X24 @ X22 )
                  & ( h @ o @ X22 ) )
               => ! [X21: mworld] :
                    ( ( mrel @ X22 @ X21 )
                   => ( closed @ X25 @ X21 ) ) ) ) ) ),
    introduced(definition) ).

thf(c_0_12,plain,
    ( mlocal
    = ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
    inference(fof_simplification,[status(thm)],[mlocal_def]) ).

thf(c_0_13,plain,
    ( mand
    = ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
          ( ( Z0 @ Z2 )
          & ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mand_def]) ).

thf(c_0_14,plain,
    ( mimplies
    = ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
          ( ( Z0 @ Z2 )
         => ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mimplies_def]) ).

thf(c_0_15,plain,
    ( mbox
    = ( ^ [Z0: mworld > $o,Z1: mworld] :
        ! [X5: mworld] :
          ( ( mrel @ Z1 @ X5 )
         => ( Z0 @ X5 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mbox_def]) ).

thf(c_0_16,plain,
    ( mexists_di
    = ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
        ? [X8: $i] : ( Z0 @ X8 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mexists_di_def]) ).

thf(c_0_17,plain,
    ! [X26: mworld] :
      ( ( epred1_1 @ X26 )
     => ! [X25: $i,X24: $i] :
        ? [X23: $i] :
          ( ! [X20: mworld] :
              ( ( mrel @ X26 @ X20 )
             => ( ( ( closed @ X25 @ X20 )
                  & ( combo @ X25 @ X24 @ X20 )
                  & ( h @ X23 @ X20 ) )
               => ! [X19: mworld] :
                    ( ( mrel @ X20 @ X19 )
                   => ( open @ X25 @ X19 ) ) ) )
          & ! [X22: mworld] :
              ( ( mrel @ X26 @ X22 )
             => ( ( ( closed @ X25 @ X22 )
                  & ~ ( combo @ X25 @ X24 @ X22 )
                  & ( h @ o @ X22 ) )
               => ! [X21: mworld] :
                    ( ( mrel @ X22 @ X21 )
                   => ( closed @ X25 @ X21 ) ) ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_11]) ).

thf(c_0_18,negated_conjecture,
    ~ ! [X37: mworld] :
        ( ( mrel @ mactual @ X37 )
       => ? [X36: $i,X35: $i] :
            ( ! [X33: mworld] :
                ( ( mrel @ X37 @ X33 )
               => ( ( combo @ d @ X36 @ X33 )
                  & ( h @ X35 @ X33 ) ) )
           => ! [X34: mworld] :
                ( ( mrel @ X37 @ X34 )
               => ( open @ d @ X34 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[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)],[con])]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]) ).

thf(c_0_19,plain,
    ! [X54: mworld,X55: $i,X56: $i,X58: mworld,X59: mworld,X60: $i,X61: $i,X62: mworld,X63: mworld] :
      ( ( ~ ( mrel @ X54 @ X58 )
        | ~ ( closed @ X55 @ X58 )
        | ~ ( combo @ X55 @ X56 @ X58 )
        | ~ ( h @ ( esk4_3 @ X54 @ X55 @ X56 ) @ X58 )
        | ~ ( mrel @ X58 @ X59 )
        | ( open @ X55 @ X59 )
        | ~ ( epred1_1 @ X54 ) )
      & ( ~ ( mrel @ X54 @ X62 )
        | ~ ( closed @ X60 @ X62 )
        | ( combo @ X60 @ X61 @ X62 )
        | ~ ( h @ o @ X62 )
        | ~ ( mrel @ X62 @ X63 )
        | ( closed @ X60 @ X63 )
        | ~ ( epred1_1 @ X54 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])])]) ).

thf(c_0_20,negated_conjecture,
    ! [X50: $i,X51: $i,X52: mworld] :
      ( ( mrel @ mactual @ esk2_0 )
      & ( ( combo @ d @ X50 @ X52 )
        | ~ ( mrel @ esk2_0 @ X52 ) )
      & ( ( h @ X51 @ X52 )
        | ~ ( mrel @ esk2_0 @ X52 ) )
      & ( mrel @ esk2_0 @ ( esk3_2 @ X50 @ X51 ) )
      & ~ ( open @ d @ ( esk3_2 @ X50 @ X51 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])]) ).

thf(c_0_21,plain,
    ! [X10: $i,X8: $i,X6: mworld,X5: mworld,X3: mworld] :
      ( ( open @ X8 @ X6 )
      | ~ ( mrel @ X3 @ X5 )
      | ~ ( closed @ X8 @ X5 )
      | ~ ( combo @ X8 @ X10 @ X5 )
      | ~ ( h @ ( esk4_3 @ X3 @ X8 @ X10 ) @ X5 )
      | ~ ( mrel @ X5 @ X6 )
      | ~ ( epred1_1 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

thf(c_0_22,negated_conjecture,
    ! [X8: $i,X3: mworld] :
      ( ( h @ X8 @ X3 )
      | ~ ( mrel @ esk2_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_23,plain,
    ! [X27: mworld] :
      ( ( mrel @ mactual @ X27 )
     => ( closed @ d @ X27 ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[ax2,c_0_12]),c_0_15]) ).

thf(c_0_24,negated_conjecture,
    ! [X10: $i,X8: $i,X3: mworld,X5: mworld,X6: mworld] :
      ( ( open @ X8 @ X3 )
      | ~ ( combo @ X8 @ X10 @ X5 )
      | ~ ( mrel @ esk2_0 @ X5 )
      | ~ ( closed @ X8 @ X5 )
      | ~ ( mrel @ X5 @ X3 )
      | ~ ( mrel @ X6 @ X5 )
      | ~ ( epred1_1 @ X6 ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_25,negated_conjecture,
    ! [X8: $i,X3: mworld] :
      ( ( combo @ d @ X8 @ X3 )
      | ~ ( mrel @ esk2_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_26,plain,
    ! [X43: mworld] :
      ( ~ ( mrel @ mactual @ X43 )
      | ( closed @ d @ X43 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).

thf(c_0_27,plain,
    ( mnot
    = ( ^ [Z0: mworld > $o,Z1: mworld] :
          ~ ( Z0 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mnot_def]) ).

thf(c_0_28,plain,
    ( mforall_di
    = ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
        ! [X8: $i] : ( Z0 @ X8 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mforall_di_def]) ).

thf(c_0_29,negated_conjecture,
    ! [X3: mworld,X5: mworld,X6: mworld] :
      ( ( open @ d @ X3 )
      | ~ ( mrel @ esk2_0 @ X5 )
      | ~ ( closed @ d @ X5 )
      | ~ ( mrel @ X5 @ X3 )
      | ~ ( mrel @ X6 @ X5 )
      | ~ ( epred1_1 @ X6 ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

thf(c_0_30,plain,
    ! [X3: mworld] :
      ( ( closed @ d @ X3 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_31,plain,
    ! [X38: mworld] : ( mrel @ X38 @ X38 ),
    inference(variable_rename,[status(thm)],[mrel_reflexive]) ).

thf(c_0_32,plain,
    ! [X26: mworld] :
      ( ( mrel @ mactual @ X26 )
     => ( epred1_1 @ X26 ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax1]),c_0_12]),c_0_27]),c_0_13]),c_0_14]),c_0_15]),c_0_28]),c_0_16])]),c_0_11]) ).

thf(c_0_33,negated_conjecture,
    ! [X3: mworld,X5: mworld,X6: mworld] :
      ( ( open @ d @ X3 )
      | ~ ( mrel @ esk2_0 @ X5 )
      | ~ ( mrel @ mactual @ X5 )
      | ~ ( mrel @ X5 @ X3 )
      | ~ ( mrel @ X6 @ X5 )
      | ~ ( epred1_1 @ X6 ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

thf(c_0_34,plain,
    ! [X3: mworld] : ( mrel @ X3 @ X3 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

thf(c_0_35,negated_conjecture,
    mrel @ mactual @ esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_36,plain,
    ! [X42: mworld] :
      ( ~ ( mrel @ mactual @ X42 )
      | ( epred1_1 @ X42 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).

thf(c_0_37,negated_conjecture,
    ! [X3: mworld,X5: mworld] :
      ( ( open @ d @ X3 )
      | ~ ( mrel @ esk2_0 @ X3 )
      | ~ ( mrel @ X5 @ esk2_0 )
      | ~ ( epred1_1 @ X5 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).

thf(c_0_38,plain,
    ! [X3: mworld] :
      ( ( epred1_1 @ X3 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

thf(c_0_39,negated_conjecture,
    ! [X3: mworld,X5: mworld] :
      ( ( open @ d @ X3 )
      | ~ ( mrel @ esk2_0 @ X3 )
      | ~ ( mrel @ X5 @ esk2_0 )
      | ~ ( mrel @ mactual @ X5 ) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

thf(c_0_40,negated_conjecture,
    ! [X8: $i,X10: $i] :
      ~ ( open @ d @ ( esk3_2 @ X8 @ X10 ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_41,negated_conjecture,
    ! [X3: mworld] :
      ( ( open @ d @ X3 )
      | ~ ( mrel @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_35]),c_0_34])]) ).

thf(c_0_42,negated_conjecture,
    ! [X8: $i,X10: $i] : ( mrel @ esk2_0 @ ( esk3_2 @ X8 @ X10 ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PLA054^4 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n018.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   : Sat May 18 13:40:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running higher-order theorem proving
% 0.20/0.47  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
% 0.20/0.49  # Version: 3.1.0-ho
% 0.20/0.49  # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.49  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.49  # Starting almost_fo_3_lam with 300s (1) cores
% 0.20/0.49  # Starting post_as_ho1 with 300s (1) cores
% 0.20/0.49  # ho_unfolding_3 with pid 26378 completed with status 0
% 0.20/0.49  # Result found by ho_unfolding_3
% 0.20/0.49  # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: HGHNS-FFSF32-SHSSMFNN
% 0.20/0.49  # partial match(2): HGHNF-FFSF22-SHSSMFNN
% 0.20/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49  # Starting new_ho_10 with 811s (1) cores
% 0.20/0.49  # Starting ho_unfolding_3 with 151s (1) cores
% 0.20/0.49  # Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.20/0.49  # Starting lpo1_def_fix with 136s (1) cores
% 0.20/0.49  # Starting ehoh_best8_lambda with 136s (1) cores
% 0.20/0.49  # lpo1_def_fix with pid 26386 completed with status 0
% 0.20/0.49  # Result found by lpo1_def_fix
% 0.20/0.49  # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: HGHNS-FFSF32-SHSSMFNN
% 0.20/0.49  # partial match(2): HGHNF-FFSF22-SHSSMFNN
% 0.20/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49  # Starting new_ho_10 with 811s (1) cores
% 0.20/0.49  # Starting ho_unfolding_3 with 151s (1) cores
% 0.20/0.49  # Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.20/0.49  # Starting lpo1_def_fix with 136s (1) cores
% 0.20/0.49  # Preprocessing time       : 0.001 s
% 0.20/0.49  # Presaturation interreduction done
% 0.20/0.49  
% 0.20/0.49  # Proof found!
% 0.20/0.49  # SZS status Theorem
% 0.20/0.49  # SZS output start CNFRefutation
% See solution above
% 0.20/0.49  # Parsed axioms                        : 38
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.49  # Initial clauses                      : 34
% 0.20/0.49  # Removed in clause preprocessing      : 21
% 0.20/0.49  # Initial clauses in saturation        : 13
% 0.20/0.49  # Processed clauses                    : 43
% 0.20/0.49  # ...of these trivial                  : 0
% 0.20/0.49  # ...subsumed                          : 4
% 0.20/0.49  # ...remaining for further processing  : 39
% 0.20/0.49  # Other redundant clauses eliminated   : 0
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 2
% 0.20/0.49  # Backward-rewritten                   : 0
% 0.20/0.49  # Generated clauses                    : 33
% 0.20/0.49  # ...of the previous two non-redundant : 30
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 0
% 0.20/0.49  # Paramodulations                      : 33
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 0
% 0.20/0.49  # Disequality decompositions           : 0
% 0.20/0.49  # Total rewrite steps                  : 7
% 0.20/0.49  # ...of those cached                   : 3
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 24
% 0.20/0.49  #    Positive orientable unit clauses  : 3
% 0.20/0.49  #    Positive unorientable unit clauses: 0
% 0.20/0.49  #    Negative unit clauses             : 1
% 0.20/0.49  #    Non-unit-clauses                  : 20
% 0.20/0.49  # Current number of unprocessed clauses: 12
% 0.20/0.49  # ...number of literals in the above   : 66
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 15
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 128
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 64
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 6
% 0.20/0.49  # Unit Clause-clause subsumption calls : 0
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 2
% 0.20/0.49  # BW rewrite match successes           : 0
% 0.20/0.49  # Condensation attempts                : 0
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 3927
% 0.20/0.49  # Search garbage collected termcells   : 1249
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.008 s
% 0.20/0.49  # System time              : 0.004 s
% 0.20/0.49  # Total time               : 0.012 s
% 0.20/0.49  # Maximum resident set size: 2000 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.024 s
% 0.20/0.49  # System time              : 0.010 s
% 0.20/0.49  # Total time               : 0.034 s
% 0.20/0.49  # Maximum resident set size: 1788 pages
% 0.20/0.49  % E---3.1 exiting
% 0.20/0.49  % E exiting
%------------------------------------------------------------------------------