↑ Up

E-SAT---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : PLA053^18 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:20:23 AM UTC 2026

% Result   : Theorem 0.29s 0.26s
% Output   : CNFRefutation 0.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   50 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :  174 (  12 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  436 (  52   ~;  47   |;  17   &; 302   @)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   5 con; 0-3 aty)
%            Number of variables   :  106 (  34   ^;  67   !;   5   ?; 106   :)

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

thf(decl_23,type,
    mrel: mworld > mworld > $o ).

thf(decl_24,type,
    mactual: mworld ).

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

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

thf(decl_29,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(decl_31,type,
    mbox: ( mworld > $o ) > mworld > $o ).

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

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

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

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

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

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

thf(decl_41,type,
    esk3_0: $i ).

thf(decl_42,type,
    esk4_2: mworld > $i > $i ).

thf(decl_43,type,
    esk5_0: mworld ).

thf(decl_44,type,
    esk6_0: $i ).

thf(mlocal_def,axiom,
    ( mlocal
    = ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pf3ly80sav/E---3.1_1260856.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.pf3ly80sav/E---3.1_1260856.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.pf3ly80sav/E---3.1_1260856.p',mimplies_def) ).

thf(mbox_def,axiom,
    ( mbox
    = ( ^ [X1: mworld > $o,X3: mworld] :
        ! [X5: mworld] :
          ( ( mrel @ X3 @ X5 )
         => ( X1 @ X5 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pf3ly80sav/E---3.1_1260856.p',mbox_def) ).

thf(mforall_di_def,axiom,
    ( mforall_di
    = ( ^ [X7: $i > mworld > $o,X3: mworld] :
        ! [X6: $i] :
          ( ( eiw_di @ X6 @ X3 )
         => ( X7 @ X6 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pf3ly80sav/E---3.1_1260856.p',mforall_di_def) ).

thf(mexists_di_def,axiom,
    ( mexists_di
    = ( ^ [X8: $i > mworld > $o,X3: mworld] :
        ? [X6: $i] :
          ( ( eiw_di @ X6 @ X3 )
          & ( X8 @ X6 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pf3ly80sav/E---3.1_1260856.p',mexists_di_def) ).

thf(ax3,axiom,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [X6: $i] :
            ( mexists_di
            @ ^ [X11: $i] : ( mbox @ ( mimplies @ ( mand @ ( bomb @ X6 ) @ ( h @ X11 ) ) @ ( defused @ X6 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pf3ly80sav/E---3.1_1260856.p',ax3) ).

thf(ax2,axiom,
    ( mlocal
    @ ( mexists_di
      @ ^ [X10: $i] :
          ( mbox
          @ ( mforall_di
            @ ^ [X6: $i] : ( mimplies @ ( mand @ ( bomb @ X6 ) @ ( h @ X10 ) ) @ ( mbox @ ( bomb @ X6 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pf3ly80sav/E---3.1_1260856.p',ax2) ).

thf(con,conjecture,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [X6: $i] :
            ( mexists_di
            @ ^ [X11: $i] : ( mimplies @ ( mand @ ( bomb @ X6 ) @ ( h @ X11 ) ) @ ( defused @ X6 ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pf3ly80sav/E---3.1_1260856.p',con) ).

thf(eiw_di_cumul,axiom,
    ! [X3: mworld,X5: mworld,X6: $i] :
      ( ( ( eiw_di @ X6 @ X3 )
        & ( mrel @ X3 @ X5 ) )
     => ( eiw_di @ X6 @ X5 ) ),
    file('/export/starexec/sandbox/tmp/tmp.pf3ly80sav/E---3.1_1260856.p',eiw_di_cumul) ).

thf(mrel_universal,axiom,
    ! [X3: mworld,X5: mworld] : ( mrel @ X3 @ X5 ),
    file('/export/starexec/sandbox/tmp/tmp.pf3ly80sav/E---3.1_1260856.p',mrel_universal) ).

thf(c_0_11,plain,
    ( mlocal
    = ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
    inference(fof_simplification,[status(thm)],[mlocal_def]) ).

thf(c_0_12,plain,
    ( mand
    = ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
          ( ( Z0 @ Z2 )
          & ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mand_def]) ).

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

thf(c_0_14,plain,
    ( mbox
    = ( ^ [Z0: mworld > $o,Z1: mworld] :
        ! [X5: mworld] :
          ( ( mrel @ Z1 @ X5 )
         => ( Z0 @ X5 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mbox_def]) ).

thf(c_0_15,plain,
    ( mforall_di
    = ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
        ! [X6: $i] :
          ( ( eiw_di @ X6 @ Z1 )
         => ( Z0 @ X6 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mforall_di_def]) ).

thf(c_0_16,plain,
    ( mexists_di
    = ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
        ? [X6: $i] :
          ( ( eiw_di @ X6 @ Z1 )
          & ( Z0 @ X6 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mexists_di_def]) ).

thf(c_0_17,plain,
    ! [X28: mworld] :
      ( ( mrel @ mactual @ X28 )
     => ! [X27: $i] :
          ( ( eiw_di @ X27 @ X28 )
         => ? [X26: $i] :
              ( ( eiw_di @ X26 @ X28 )
              & ! [X25: mworld] :
                  ( ( mrel @ X28 @ X25 )
                 => ( ( ( bomb @ X27 @ X25 )
                      & ( h @ X26 @ X25 ) )
                   => ( defused @ X27 @ X25 ) ) ) ) ) ),
    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)],[ax3]),c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]) ).

thf(c_0_18,plain,
    ? [X24: $i] :
      ( ( eiw_di @ X24 @ mactual )
      & ! [X23: mworld] :
          ( ( mrel @ mactual @ X23 )
         => ! [X22: $i] :
              ( ( eiw_di @ X22 @ X23 )
             => ( ( ( bomb @ X22 @ X23 )
                  & ( h @ X24 @ X23 ) )
               => ! [X21: mworld] :
                    ( ( mrel @ X23 @ X21 )
                   => ( bomb @ X22 @ X21 ) ) ) ) ) ),
    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)],[ax2]),c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]) ).

thf(c_0_19,negated_conjecture,
    ~ ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [X6: $i] :
              ( mexists_di
              @ ^ [X11: $i] : ( mimplies @ ( mand @ ( bomb @ X6 ) @ ( h @ X11 ) ) @ ( defused @ X6 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(c_0_20,plain,
    ! [X36: mworld,X37: mworld,X38: $i] :
      ( ~ ( eiw_di @ X38 @ X36 )
      | ~ ( mrel @ X36 @ X37 )
      | ( eiw_di @ X38 @ X37 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[eiw_di_cumul])])]) ).

thf(c_0_21,plain,
    ! [X32: mworld,X33: mworld] : ( mrel @ X32 @ X33 ),
    inference(variable_rename,[status(thm)],[mrel_universal]) ).

thf(c_0_22,plain,
    ! [X45: mworld,X46: $i,X48: mworld] :
      ( ( ( eiw_di @ ( esk4_2 @ X45 @ X46 ) @ X45 )
        | ~ ( eiw_di @ X46 @ X45 )
        | ~ ( mrel @ mactual @ X45 ) )
      & ( ~ ( mrel @ X45 @ X48 )
        | ~ ( bomb @ X46 @ X48 )
        | ~ ( h @ ( esk4_2 @ X45 @ X46 ) @ X48 )
        | ( defused @ X46 @ X48 )
        | ~ ( eiw_di @ X46 @ X45 )
        | ~ ( mrel @ mactual @ X45 ) ) ),
    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_17])])])])])]) ).

thf(c_0_23,plain,
    ! [X42: mworld,X43: $i,X44: mworld] :
      ( ( eiw_di @ esk3_0 @ mactual )
      & ( ~ ( mrel @ mactual @ X42 )
        | ~ ( eiw_di @ X43 @ X42 )
        | ~ ( bomb @ X43 @ X42 )
        | ~ ( h @ esk3_0 @ X42 )
        | ~ ( mrel @ X42 @ X44 )
        | ( bomb @ X43 @ X44 ) ) ),
    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_24,negated_conjecture,
    ~ ! [X31: mworld] :
        ( ( mrel @ mactual @ X31 )
       => ! [X30: $i] :
            ( ( eiw_di @ X30 @ X31 )
           => ? [X29: $i] :
                ( ( eiw_di @ X29 @ X31 )
                & ( ( ( bomb @ X30 @ X31 )
                    & ( h @ X29 @ X31 ) )
                 => ( defused @ X30 @ X31 ) ) ) ) ),
    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)],[c_0_19]),c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]) ).

thf(c_0_25,plain,
    ! [X3: mworld,X6: $i,X5: mworld] :
      ( ( eiw_di @ X6 @ X5 )
      | ~ ( eiw_di @ X6 @ X3 )
      | ~ ( mrel @ X3 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_26,plain,
    ! [X3: mworld,X5: mworld] : ( mrel @ X3 @ X5 ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

thf(c_0_27,plain,
    ! [X6: $i,X3: mworld] :
      ( ( eiw_di @ ( esk4_2 @ X3 @ X6 ) @ X3 )
      | ~ ( eiw_di @ X6 @ X3 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

thf(c_0_28,plain,
    ! [X3: mworld,X6: $i,X5: mworld] :
      ( ( bomb @ X6 @ X5 )
      | ~ ( mrel @ mactual @ X3 )
      | ~ ( eiw_di @ X6 @ X3 )
      | ~ ( bomb @ X6 @ X3 )
      | ~ ( h @ esk3_0 @ X3 )
      | ~ ( mrel @ X3 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

thf(c_0_29,negated_conjecture,
    ! [X51: $i] :
      ( ( mrel @ mactual @ esk5_0 )
      & ( eiw_di @ esk6_0 @ esk5_0 )
      & ( ( bomb @ esk6_0 @ esk5_0 )
        | ~ ( eiw_di @ X51 @ esk5_0 ) )
      & ( ( h @ X51 @ esk5_0 )
        | ~ ( eiw_di @ X51 @ esk5_0 ) )
      & ( ~ ( defused @ esk6_0 @ esk5_0 )
        | ~ ( eiw_di @ X51 @ esk5_0 ) ) ),
    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_24])])])])])]) ).

thf(c_0_30,plain,
    ! [X3: mworld,X6: $i,X5: mworld] :
      ( ( eiw_di @ X6 @ X3 )
      | ~ ( eiw_di @ X6 @ X5 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).

thf(c_0_31,plain,
    eiw_di @ esk3_0 @ mactual,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

thf(c_0_32,plain,
    ! [X6: $i,X5: mworld,X3: mworld] :
      ( ( defused @ X6 @ X5 )
      | ~ ( mrel @ X3 @ X5 )
      | ~ ( bomb @ X6 @ X5 )
      | ~ ( h @ ( esk4_2 @ X3 @ X6 ) @ X5 )
      | ~ ( eiw_di @ X6 @ X3 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

thf(c_0_33,plain,
    ! [X6: $i,X3: mworld] :
      ( ( eiw_di @ ( esk4_2 @ X3 @ X6 ) @ X3 )
      | ~ ( eiw_di @ X6 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_26])]) ).

thf(c_0_34,plain,
    ! [X3: mworld,X6: $i,X5: mworld] :
      ( ( bomb @ X6 @ X3 )
      | ~ ( h @ esk3_0 @ X5 )
      | ~ ( eiw_di @ X6 @ X5 )
      | ~ ( bomb @ X6 @ X5 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_26]),c_0_26])]) ).

thf(c_0_35,negated_conjecture,
    ! [X6: $i] :
      ( ( h @ X6 @ esk5_0 )
      | ~ ( eiw_di @ X6 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_36,plain,
    ! [X3: mworld] : ( eiw_di @ esk3_0 @ X3 ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

thf(c_0_37,negated_conjecture,
    ! [X6: $i] :
      ( ( bomb @ esk6_0 @ esk5_0 )
      | ~ ( eiw_di @ X6 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_38,negated_conjecture,
    eiw_di @ esk6_0 @ esk5_0,
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_39,plain,
    ! [X6: $i,X5: mworld,X3: mworld] :
      ( ( defused @ X6 @ X3 )
      | ~ ( h @ ( esk4_2 @ X5 @ X6 ) @ X3 )
      | ~ ( eiw_di @ X6 @ X5 )
      | ~ ( bomb @ X6 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_26]),c_0_26])]) ).

thf(c_0_40,plain,
    ! [X6: $i,X5: mworld,X3: mworld] :
      ( ( eiw_di @ ( esk4_2 @ X3 @ X6 ) @ X5 )
      | ~ ( eiw_di @ X6 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_33]) ).

thf(c_0_41,negated_conjecture,
    ! [X3: mworld,X6: $i] :
      ( ( bomb @ X6 @ X3 )
      | ~ ( eiw_di @ X6 @ esk5_0 )
      | ~ ( bomb @ X6 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).

thf(c_0_42,negated_conjecture,
    bomb @ esk6_0 @ esk5_0,
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

thf(c_0_43,negated_conjecture,
    ! [X3: mworld] : ( eiw_di @ esk6_0 @ X3 ),
    inference(spm,[status(thm)],[c_0_30,c_0_38]) ).

thf(c_0_44,negated_conjecture,
    ! [X6: $i,X3: mworld] :
      ( ( defused @ X6 @ esk5_0 )
      | ~ ( bomb @ X6 @ esk5_0 )
      | ~ ( eiw_di @ X6 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_35]),c_0_40]) ).

thf(c_0_45,negated_conjecture,
    ! [X3: mworld] : ( bomb @ esk6_0 @ X3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).

thf(c_0_46,negated_conjecture,
    ! [X6: $i] :
      ( ~ ( defused @ esk6_0 @ esk5_0 )
      | ~ ( eiw_di @ X6 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_47,negated_conjecture,
    defused @ esk6_0 @ esk5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_43]),c_0_45])]) ).

thf(c_0_48,negated_conjecture,
    ! [X6: $i] :
      ~ ( eiw_di @ X6 @ esk5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).

thf(c_0_49,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_48,c_0_43]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PLA053^18 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n002.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Tue Sep 29 13:23:22 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23  Running higher-order theorem proving
% 0.07/0.24  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.pf3ly80sav/E---3.1_1260856.p
% 0.29/0.26  % Version: 3.5.1-ho
% 0.29/0.26  % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.29/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.26  % Starting ho_unfolding_3 with 1500s (5) cores
% 0.29/0.26  % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.29/0.26  % Starting almost_fo_3_lam with 300s (1) cores
% 0.29/0.26  % Starting post_as_ho1 with 300s (1) cores
% 0.29/0.26  % ehoh_best2_full_lfho with pid 1260894 completed with status 0
% 0.29/0.26  % Result found by ehoh_best2_full_lfho
% 0.29/0.26  % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.29/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.26  % Starting ho_unfolding_3 with 1500s (5) cores
% 0.29/0.26  % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.29/0.26  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.29/0.26  % No SInE strategy applied
% 0.29/0.26  % Search class: HHHNS-FFSS21-SHSSMFNN
% 0.29/0.26  % partial match(2): HHHNS-FFSF11-SHSSMFNN
% 0.29/0.26  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.29/0.26  % Starting SubtermCWHack with 28s (1) cores
% 0.29/0.26  % SubtermCWHack with pid 1260897 completed with status 0
% 0.29/0.26  % Result found by SubtermCWHack
% 0.29/0.26  % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.29/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.26  % Starting ho_unfolding_3 with 1500s (5) cores
% 0.29/0.26  % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.29/0.26  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.29/0.26  % No SInE strategy applied
% 0.29/0.26  % Search class: HHHNS-FFSS21-SHSSMFNN
% 0.29/0.26  % partial match(2): HHHNS-FFSF11-SHSSMFNN
% 0.29/0.26  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.29/0.26  % Starting SubtermCWHack with 28s (1) cores
% 0.29/0.26  % Preprocessing time       : 0.002 s
% 0.29/0.26  
% 0.29/0.26  % Proof found!
% 0.29/0.26  % SZS status Theorem
% 0.29/0.26  % SZS output start CNFRefutation
% See solution above
% 0.29/0.26  % Parsed axioms                        : 34
% 0.29/0.26  % Removed by relevancy pruning/SinE    : 0
% 0.29/0.26  % Initial clauses                      : 31
% 0.29/0.26  % Removed in clause preprocessing      : 17
% 0.29/0.26  % Initial clauses in saturation        : 14
% 0.29/0.26  % Processed clauses                    : 27
% 0.29/0.26  % ...of these trivial                  : 0
% 0.29/0.26  % ...subsumed                          : 1
% 0.29/0.26  % ...remaining for further processing  : 26
% 0.29/0.26  % Other redundant clauses eliminated   : 0
% 0.29/0.26  % Clauses deleted for lack of memory   : 0
% 0.29/0.26  % Backward-subsumed                    : 3
% 0.29/0.26  % Backward-rewritten                   : 8
% 0.29/0.26  % Generated clauses                    : 28
% 0.29/0.26  % ...of the previous two non-redundant : 18
% 0.29/0.26  % ...aggressively subsumed             : 0
% 0.29/0.26  % Contextual simplify-reflections      : 1
% 0.29/0.26  % Paramodulations                      : 28
% 0.29/0.26  % Factorizations                       : 0
% 0.29/0.26  % NegExts                              : 0
% 0.29/0.26  % Equation resolutions                 : 0
% 0.29/0.26  % Disequality decompositions           : 0
% 0.29/0.26  % Total rewrite steps                  : 28
% 0.29/0.26  % ...of those cached                   : 10
% 0.29/0.26  % Propositional unsat checks           : 0
% 0.29/0.26  %    Propositional check models        : 0
% 0.29/0.26  %    Propositional check unsatisfiable : 0
% 0.29/0.26  %    Propositional clauses             : 0
% 0.29/0.26  %    Propositional clauses after purity: 0
% 0.29/0.26  %    Propositional unsat core size     : 0
% 0.29/0.26  %    Propositional preprocessing time  : 0.000
% 0.29/0.26  %    Propositional encoding time       : 0.000
% 0.29/0.26  %    Propositional solver time         : 0.000
% 0.29/0.26  %    Success case prop preproc time    : 0.000
% 0.29/0.26  %    Success case prop encoding time   : 0.000
% 0.29/0.26  %    Success case prop solver time     : 0.000
% 0.29/0.26  % Current number of processed clauses  : 15
% 0.29/0.26  %    Positive orientable unit clauses  : 9
% 0.29/0.26  %    Positive unorientable unit clauses: 0
% 0.29/0.26  %    Negative unit clauses             : 1
% 0.29/0.26  %    Non-unit-clauses                  : 5
% 0.29/0.26  % Current number of unprocessed clauses: 4
% 0.29/0.26  % ...number of literals in the above   : 9
% 0.29/0.26  % Current number of archived formulas  : 0
% 0.29/0.26  % Current number of archived clauses   : 11
% 0.29/0.27  % Clause-clause subsumption calls (NU) : 16
% 0.29/0.27  % Rec. Clause-clause subsumption calls : 10
% 0.29/0.27  % Non-unit clause-clause subsumptions  : 3
% 0.29/0.27  % Unit Clause-clause subsumption calls : 4
% 0.29/0.27  % Rewrite failures with RHS unbound    : 0
% 0.29/0.27  % BW rewrite match attempts            : 8
% 0.29/0.27  % BW rewrite match successes           : 8
% 0.29/0.27  % Condensation attempts                : 0
% 0.29/0.27  % Condensation successes               : 0
% 0.29/0.27  % Termbank termtop insertions          : 2646
% 0.29/0.27  % Search garbage collected termcells   : 788
% 0.29/0.27  
% 0.29/0.27  % -------------------------------------------------
% 0.29/0.27  % User time                : 0.007 s
% 0.29/0.27  % System time              : 0.002 s
% 0.29/0.27  % Total time               : 0.009 s
% 0.29/0.27  % Maximum resident set size: 3660 pages
% 0.29/0.27  
% 0.29/0.27  % -------------------------------------------------
% 0.29/0.27  % User time                : 0.011 s
% 0.29/0.27  % System time              : 0.004 s
% 0.29/0.27  % Total time               : 0.014 s
% 0.29/0.27  % Maximum resident set size: 4864 pages
% 0.29/0.27  % E exiting
%------------------------------------------------------------------------------