TSTP Solution File: PRO029^16 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : PRO029^16 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 : Sat May  4 09:10:18 EDT 2024

% Result   : Theorem 0.21s 0.52s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   73 (  24 unt;  16 typ;   0 def)
%            Number of atoms       :  188 (  10 equ;   0 cnn)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  458 (  63   ~;  50   |;  12   &; 311   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   40 (  40   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   5 con; 0-3 aty)
%            Number of variables   :   75 (  24   ^  51   !;   0   ?;  75   :)

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

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

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

thf(decl_23,type,
    '#c': mindex ).

thf(decl_24,type,
    '#u': mindex ).

thf(decl_25,type,
    mactual: mworld ).

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

thf(decl_27,type,
    mnot: ( mworld > $o ) > mworld > $o ).

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

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

thf(decl_32,type,
    mbox: mindex > ( mworld > $o ) > mworld > $o ).

thf(decl_34,type,
    charge: mworld > $o ).

thf(decl_35,type,
    called: mworld > $o ).

thf(decl_36,type,
    paid: mworld > $o ).

thf(decl_37,type,
    esk1_1: mworld > mworld ).

thf(decl_39,type,
    esk3_0: mworld ).

thf(mlocal_def,axiom,
    ( mlocal
    = ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p',mlocal_def) ).

thf(mand_def,axiom,
    ( mand
    = ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
          ( ( X2 @ X3 )
          & ( X4 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p',mand_def) ).

thf(mimplies_def,axiom,
    ( mimplies
    = ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
          ( ( X2 @ X3 )
         => ( X4 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p',mimplies_def) ).

thf(mbox_def,axiom,
    ( mbox
    = ( ^ [X5: mindex,X1: mworld > $o,X3: mworld] :
        ! [X6: mworld] :
          ( ( mrel @ X5 @ X3 @ X6 )
         => ( X1 @ X6 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p',mbox_def) ).

thf(mnot_def,axiom,
    ( mnot
    = ( ^ [X2: mworld > $o,X3: mworld] :
          ~ ( X2 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p',mnot_def) ).

thf(axiom_charge_u,axiom,
    mlocal @ ( mimplies @ charge @ ( mand @ ( mbox @ '#u' @ charge ) @ ( mbox @ '#c' @ charge ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p',axiom_charge_u) ).

thf(requirement_1,conjecture,
    mlocal @ ( mimplies @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) @ ( mbox @ '#u' @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p',requirement_1) ).

thf(axiom_2,axiom,
    mlocal @ ( mbox @ '#c' @ ( mimplies @ paid @ ( mbox @ '#u' @ paid ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p',axiom_2) ).

thf('mrel_#c_reflexive',axiom,
    ! [X3: mworld] : ( mrel @ '#c' @ X3 @ X3 ),
    file('/export/starexec/sandbox/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p','mrel_#c_reflexive') ).

thf('mrel_#u_transitive',axiom,
    ! [X3: mworld,X6: mworld,X7: mworld] :
      ( ( ( mrel @ '#u' @ X3 @ X6 )
        & ( mrel @ '#u' @ X6 @ X7 ) )
     => ( mrel @ '#u' @ X3 @ X7 ) ),
    file('/export/starexec/sandbox/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p','mrel_#u_transitive') ).

thf('mrel_#u_reflexive',axiom,
    ! [X3: mworld] : ( mrel @ '#u' @ X3 @ X3 ),
    file('/export/starexec/sandbox/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p','mrel_#u_reflexive') ).

thf(axiom_3,axiom,
    mlocal @ ( mimplies @ ( mnot @ ( mbox @ '#c' @ called ) ) @ ( mbox @ '#u' @ ( mnot @ ( mbox @ '#c' @ called ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p',axiom_3) ).

thf(axiom_1,axiom,
    mlocal @ ( mbox @ '#u' @ ( mimplies @ called @ ( mbox @ '#c' @ called ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p',axiom_1) ).

thf(c_0_13,plain,
    ( mlocal
    = ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
    inference(fof_simplification,[status(thm)],[mlocal_def]) ).

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

thf(c_0_15,plain,
    ( mimplies
    = ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
          ( ( Z0 @ Z2 )
         => ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mimplies_def]) ).

thf(c_0_16,plain,
    ( mbox
    = ( ^ [Z0: mindex,Z1: mworld > $o,Z2: mworld] :
        ! [X6: mworld] :
          ( ( mrel @ Z0 @ Z2 @ X6 )
         => ( Z1 @ X6 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mbox_def]) ).

thf(c_0_17,plain,
    ( mnot
    = ( ^ [Z0: mworld > $o,Z1: mworld] :
          ~ ( Z0 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mnot_def]) ).

thf(c_0_18,plain,
    ( ( charge @ mactual )
   => ( ! [X16: mworld] :
          ( ( mrel @ '#u' @ mactual @ X16 )
         => ( charge @ X16 ) )
      & ! [X17: mworld] :
          ( ( mrel @ '#c' @ mactual @ X17 )
         => ( charge @ X17 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_charge_u,c_0_13]),c_0_14]),c_0_15]),c_0_16]) ).

thf(c_0_19,negated_conjecture,
    ~ ( ~ ( ( charge @ mactual )
         => ( ( called @ mactual )
            & ~ ( paid @ mactual ) ) )
     => ! [X28: mworld] :
          ( ( mrel @ '#u' @ mactual @ X28 )
         => ~ ( ( charge @ X28 )
             => ( ( called @ X28 )
                & ~ ( paid @ X28 ) ) ) ) ),
    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(assume_negation,[status(cth)],[requirement_1]),c_0_13]),c_0_17]),c_0_14]),c_0_15]),c_0_16])]) ).

thf(c_0_20,plain,
    ! [X37: mworld,X38: mworld] :
      ( ( ~ ( mrel @ '#u' @ mactual @ X37 )
        | ( charge @ X37 )
        | ~ ( charge @ mactual ) )
      & ( ~ ( mrel @ '#c' @ mactual @ X38 )
        | ( charge @ X38 )
        | ~ ( charge @ mactual ) ) ),
    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_18])])])])]) ).

thf(c_0_21,negated_conjecture,
    ( ( charge @ mactual )
    & ( ~ ( called @ mactual )
      | ( paid @ mactual ) )
    & ( mrel @ '#u' @ mactual @ esk3_0 )
    & ( ( called @ esk3_0 )
      | ~ ( charge @ esk3_0 ) )
    & ( ~ ( paid @ esk3_0 )
      | ~ ( charge @ esk3_0 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])]) ).

thf(c_0_22,plain,
    ! [X21: mworld] :
      ( ( mrel @ '#c' @ mactual @ X21 )
     => ( ( paid @ X21 )
       => ! [X20: mworld] :
            ( ( mrel @ '#u' @ X21 @ X20 )
           => ( paid @ X20 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_2,c_0_13]),c_0_15]),c_0_16]) ).

thf(c_0_23,plain,
    ! [X3: mworld] :
      ( ( charge @ X3 )
      | ~ ( mrel @ '#u' @ mactual @ X3 )
      | ~ ( charge @ mactual ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_24,negated_conjecture,
    charge @ mactual,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

thf(c_0_25,plain,
    ! [X41: mworld,X42: mworld] :
      ( ~ ( mrel @ '#c' @ mactual @ X41 )
      | ~ ( paid @ X41 )
      | ~ ( mrel @ '#u' @ X41 @ X42 )
      | ( paid @ X42 ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).

thf(c_0_26,plain,
    ! [X29: mworld] : ( mrel @ '#c' @ X29 @ X29 ),
    inference(variable_rename,[status(thm)],['mrel_#c_reflexive']) ).

thf(c_0_27,plain,
    ! [X34: mworld,X35: mworld,X36: mworld] :
      ( ~ ( mrel @ '#u' @ X34 @ X35 )
      | ~ ( mrel @ '#u' @ X35 @ X36 )
      | ( mrel @ '#u' @ X34 @ X36 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['mrel_#u_transitive'])])]) ).

thf(c_0_28,plain,
    ! [X3: mworld] :
      ( ( charge @ X3 )
      | ~ ( mrel @ '#u' @ mactual @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).

thf(c_0_29,negated_conjecture,
    mrel @ '#u' @ mactual @ esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

thf(c_0_30,plain,
    ! [X3: mworld,X6: mworld] :
      ( ( paid @ X6 )
      | ~ ( mrel @ '#c' @ mactual @ X3 )
      | ~ ( paid @ X3 )
      | ~ ( mrel @ '#u' @ X3 @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

thf(c_0_31,plain,
    ! [X3: mworld] : ( mrel @ '#c' @ X3 @ X3 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_32,plain,
    ! [X3: mworld,X6: mworld,X7: mworld] :
      ( ( mrel @ '#u' @ X3 @ X7 )
      | ~ ( mrel @ '#u' @ X3 @ X6 )
      | ~ ( mrel @ '#u' @ X6 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

thf(c_0_33,plain,
    ! [X33: mworld] : ( mrel @ '#u' @ X33 @ X33 ),
    inference(variable_rename,[status(thm)],['mrel_#u_reflexive']) ).

thf(c_0_34,negated_conjecture,
    ( ~ ( paid @ esk3_0 )
    | ~ ( charge @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

thf(c_0_35,negated_conjecture,
    charge @ esk3_0,
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

thf(c_0_36,plain,
    ( ~ ! [X22: mworld] :
          ( ( mrel @ '#c' @ mactual @ X22 )
         => ( called @ X22 ) )
   => ! [X24: mworld] :
        ( ( mrel @ '#u' @ mactual @ X24 )
       => ~ ! [X23: mworld] :
              ( ( mrel @ '#c' @ X24 @ X23 )
             => ( called @ X23 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_3,c_0_13]),c_0_17]),c_0_15]),c_0_16]) ).

thf(c_0_37,plain,
    ! [X3: mworld] :
      ( ( paid @ X3 )
      | ~ ( mrel @ '#u' @ mactual @ X3 )
      | ~ ( paid @ mactual ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

thf(c_0_38,negated_conjecture,
    ! [X3: mworld] :
      ( ( mrel @ '#u' @ X3 @ esk3_0 )
      | ~ ( mrel @ '#u' @ X3 @ mactual ) ),
    inference(spm,[status(thm)],[c_0_32,c_0_29]) ).

thf(c_0_39,plain,
    ! [X3: mworld] : ( mrel @ '#u' @ X3 @ X3 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

thf(c_0_40,negated_conjecture,
    ~ ( paid @ esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).

thf(c_0_41,plain,
    ! [X19: mworld] :
      ( ( mrel @ '#u' @ mactual @ X19 )
     => ( ( called @ X19 )
       => ! [X18: mworld] :
            ( ( mrel @ '#c' @ X19 @ X18 )
           => ( called @ X18 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_1,c_0_13]),c_0_15]),c_0_16]) ).

thf(c_0_42,plain,
    ! [X43: mworld,X44: mworld] :
      ( ( ( mrel @ '#c' @ X44 @ ( esk1_1 @ X44 ) )
        | ~ ( mrel @ '#u' @ mactual @ X44 )
        | ~ ( mrel @ '#c' @ mactual @ X43 )
        | ( called @ X43 ) )
      & ( ~ ( called @ ( esk1_1 @ X44 ) )
        | ~ ( mrel @ '#u' @ mactual @ X44 )
        | ~ ( mrel @ '#c' @ mactual @ X43 )
        | ( called @ X43 ) ) ),
    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_36])])])])])]) ).

thf(c_0_43,negated_conjecture,
    ~ ( paid @ mactual ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]),c_0_40]) ).

thf(c_0_44,negated_conjecture,
    ( ( paid @ mactual )
    | ~ ( called @ mactual ) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

thf(c_0_45,plain,
    ! [X39: mworld,X40: mworld] :
      ( ~ ( mrel @ '#u' @ mactual @ X39 )
      | ~ ( called @ X39 )
      | ~ ( mrel @ '#c' @ X39 @ X40 )
      | ( called @ X40 ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).

thf(c_0_46,plain,
    ! [X3: mworld,X6: mworld] :
      ( ( mrel @ '#c' @ X3 @ ( esk1_1 @ X3 ) )
      | ( called @ X6 )
      | ~ ( mrel @ '#u' @ mactual @ X3 )
      | ~ ( mrel @ '#c' @ mactual @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

thf(c_0_47,negated_conjecture,
    ~ ( called @ mactual ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

thf(c_0_48,plain,
    ! [X3: mworld,X6: mworld] :
      ( ( called @ X6 )
      | ~ ( called @ ( esk1_1 @ X3 ) )
      | ~ ( mrel @ '#u' @ mactual @ X3 )
      | ~ ( mrel @ '#c' @ mactual @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

thf(c_0_49,plain,
    ! [X3: mworld,X6: mworld] :
      ( ( called @ X6 )
      | ~ ( mrel @ '#u' @ mactual @ X3 )
      | ~ ( called @ X3 )
      | ~ ( mrel @ '#c' @ X3 @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

thf(c_0_50,plain,
    ! [X3: mworld] :
      ( ( mrel @ '#c' @ X3 @ ( esk1_1 @ X3 ) )
      | ~ ( mrel @ '#u' @ mactual @ X3 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_31]),c_0_47]) ).

thf(c_0_51,plain,
    ! [X3: mworld] :
      ( ( called @ mactual )
      | ~ ( mrel @ '#u' @ mactual @ X3 )
      | ~ ( called @ ( esk1_1 @ X3 ) ) ),
    inference(spm,[status(thm)],[c_0_48,c_0_31]) ).

thf(c_0_52,plain,
    ! [X3: mworld] :
      ( ( called @ ( esk1_1 @ X3 ) )
      | ~ ( mrel @ '#u' @ mactual @ X3 )
      | ~ ( called @ X3 ) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

thf(c_0_53,negated_conjecture,
    ( ( called @ esk3_0 )
    | ~ ( charge @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

thf(c_0_54,plain,
    ! [X3: mworld] :
      ( ~ ( mrel @ '#u' @ mactual @ X3 )
      | ~ ( called @ X3 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_47]) ).

thf(c_0_55,negated_conjecture,
    called @ esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_35])]) ).

thf(c_0_56,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_38]),c_0_55]),c_0_39])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PRO029^16 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.15  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 15:47:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  Running higher-order theorem proving
% 0.21/0.50  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/tmp/tmp.NYfKoUtXfe/E---3.1_5604.p
% 0.21/0.52  # Version: 3.1.0-ho
% 0.21/0.52  # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.21/0.52  # Starting post_as_ho3 with 300s (1) cores
% 0.21/0.52  # Starting post_as_ho11 with 300s (1) cores
% 0.21/0.52  # Starting full_lambda_8 with 300s (1) cores
% 0.21/0.52  # post_as_ho11 with pid 5711 completed with status 0
% 0.21/0.52  # Result found by post_as_ho11
% 0.21/0.52  # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.21/0.52  # Starting post_as_ho3 with 300s (1) cores
% 0.21/0.52  # Starting post_as_ho11 with 300s (1) cores
% 0.21/0.52  # No SInE strategy applied
% 0.21/0.52  # Search class: HGHNS-FFSF11-SHSSMFNN
% 0.21/0.52  # partial match(1): HHHNS-FFSF11-SHSSMFNN
% 0.21/0.52  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52  # Starting new_ho_10 with 163s (1) cores
% 0.21/0.52  # new_ho_10 with pid 5721 completed with status 0
% 0.21/0.52  # Result found by new_ho_10
% 0.21/0.52  # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.21/0.52  # Starting post_as_ho3 with 300s (1) cores
% 0.21/0.52  # Starting post_as_ho11 with 300s (1) cores
% 0.21/0.52  # No SInE strategy applied
% 0.21/0.52  # Search class: HGHNS-FFSF11-SHSSMFNN
% 0.21/0.52  # partial match(1): HHHNS-FFSF11-SHSSMFNN
% 0.21/0.52  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52  # Starting new_ho_10 with 163s (1) cores
% 0.21/0.52  # Preprocessing time       : 0.001 s
% 0.21/0.52  # Presaturation interreduction done
% 0.21/0.52  
% 0.21/0.52  # Proof found!
% 0.21/0.52  # SZS status Theorem
% 0.21/0.52  # SZS output start CNFRefutation
% See solution above
% 0.21/0.52  # Parsed axioms                        : 36
% 0.21/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.52  # Initial clauses                      : 35
% 0.21/0.52  # Removed in clause preprocessing      : 17
% 0.21/0.52  # Initial clauses in saturation        : 18
% 0.21/0.52  # Processed clauses                    : 59
% 0.21/0.52  # ...of these trivial                  : 0
% 0.21/0.52  # ...subsumed                          : 1
% 0.21/0.52  # ...remaining for further processing  : 58
% 0.21/0.52  # Other redundant clauses eliminated   : 0
% 0.21/0.52  # Clauses deleted for lack of memory   : 0
% 0.21/0.52  # Backward-subsumed                    : 10
% 0.21/0.52  # Backward-rewritten                   : 2
% 0.21/0.52  # Generated clauses                    : 54
% 0.21/0.52  # ...of the previous two non-redundant : 44
% 0.21/0.52  # ...aggressively subsumed             : 0
% 0.21/0.52  # Contextual simplify-reflections      : 0
% 0.21/0.52  # Paramodulations                      : 54
% 0.21/0.52  # Factorizations                       : 0
% 0.21/0.52  # NegExts                              : 0
% 0.21/0.52  # Equation resolutions                 : 0
% 0.21/0.52  # Disequality decompositions           : 0
% 0.21/0.52  # Total rewrite steps                  : 22
% 0.21/0.52  # ...of those cached                   : 17
% 0.21/0.52  # Propositional unsat checks           : 0
% 0.21/0.52  #    Propositional check models        : 0
% 0.21/0.52  #    Propositional check unsatisfiable : 0
% 0.21/0.52  #    Propositional clauses             : 0
% 0.21/0.52  #    Propositional clauses after purity: 0
% 0.21/0.52  #    Propositional unsat core size     : 0
% 0.21/0.52  #    Propositional preprocessing time  : 0.000
% 0.21/0.52  #    Propositional encoding time       : 0.000
% 0.21/0.52  #    Propositional solver time         : 0.000
% 0.21/0.52  #    Success case prop preproc time    : 0.000
% 0.21/0.52  #    Success case prop encoding time   : 0.000
% 0.21/0.52  #    Success case prop solver time     : 0.000
% 0.21/0.52  # Current number of processed clauses  : 28
% 0.21/0.52  #    Positive orientable unit clauses  : 8
% 0.21/0.52  #    Positive unorientable unit clauses: 0
% 0.21/0.52  #    Negative unit clauses             : 3
% 0.21/0.52  #    Non-unit-clauses                  : 17
% 0.21/0.52  # Current number of unprocessed clauses: 15
% 0.21/0.52  # ...number of literals in the above   : 48
% 0.21/0.52  # Current number of archived formulas  : 0
% 0.21/0.52  # Current number of archived clauses   : 30
% 0.21/0.52  # Clause-clause subsumption calls (NU) : 47
% 0.21/0.52  # Rec. Clause-clause subsumption calls : 42
% 0.21/0.52  # Non-unit clause-clause subsumptions  : 8
% 0.21/0.52  # Unit Clause-clause subsumption calls : 15
% 0.21/0.52  # Rewrite failures with RHS unbound    : 0
% 0.21/0.52  # BW rewrite match attempts            : 4
% 0.21/0.52  # BW rewrite match successes           : 1
% 0.21/0.52  # Condensation attempts                : 59
% 0.21/0.52  # Condensation successes               : 0
% 0.21/0.52  # Termbank termtop insertions          : 3663
% 0.21/0.52  # Search garbage collected termcells   : 831
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.007 s
% 0.21/0.52  # System time              : 0.004 s
% 0.21/0.52  # Total time               : 0.011 s
% 0.21/0.52  # Maximum resident set size: 1908 pages
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.009 s
% 0.21/0.52  # System time              : 0.006 s
% 0.21/0.52  # Total time               : 0.015 s
% 0.21/0.52  # Maximum resident set size: 1776 pages
% 0.21/0.52  % E---3.1 exiting
% 0.21/0.52  % E exiting
%------------------------------------------------------------------------------