TSTP Solution File: SEU685^2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU685^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 03:29:08 EDT 2024

% Result   : Theorem 0.17s 0.47s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   53 (  18 unt;  21 typ;   0 def)
%            Number of atoms       :  162 (  26 equ;   0 cnn)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  685 (  35   ~;  35   |;  24   &; 565   @)
%                                         (   2 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   39 (  39   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;   8 con; 0-4 aty)
%            Number of variables   :  135 (  49   ^  76   !;  10   ?; 135   :)

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

thf(decl_23,type,
    emptyset: $i ).

thf(decl_24,type,
    setadjoin: $i > $i > $i ).

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

thf(decl_26,type,
    subset: $i > $i > $o ).

thf(decl_27,type,
    kpair: $i > $i > $i ).

thf(decl_28,type,
    cartprod: $i > $i > $i ).

thf(decl_29,type,
    singleton: $i > $o ).

thf(decl_30,type,
    ex1: $i > ( $i > $o ) > $o ).

thf(decl_31,type,
    breln: $i > $i > $i > $o ).

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

thf(decl_33,type,
    funcSet: $i > $i > $i ).

thf(decl_34,type,
    ap: $i > $i > $i > $i > $i ).

thf(decl_35,type,
    infuncsetfunc: $o ).

thf(decl_36,type,
    funcGraphProp1: $o ).

thf(decl_37,type,
    esk1_4: $i > $i > $i > $i > $i ).

thf(decl_38,type,
    esk2_3: $i > $i > $i > $i ).

thf(decl_39,type,
    esk3_0: $i ).

thf(decl_40,type,
    esk4_0: $i ).

thf(decl_41,type,
    esk5_0: $i ).

thf(decl_42,type,
    esk6_0: $i ).

thf(ex1,axiom,
    ( ex1
    = ( ^ [X1: $i,X3: $i > $o] :
          ( singleton
          @ ( dsetconstr @ X1
            @ ^ [X2: $i] : ( X3 @ X2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ex1) ).

thf(singleton,axiom,
    ( singleton
    = ( ^ [X1: $i] :
        ? [X2: $i] :
          ( ( in @ X2 @ X1 )
          & ( X1
            = ( setadjoin @ X2 @ emptyset ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton) ).

thf(func,axiom,
    ( func
    = ( ^ [X1: $i,X4: $i,X6: $i] :
          ( ( breln @ X1 @ X4 @ X6 )
          & ! [X2: $i] :
              ( ( in @ X2 @ X1 )
             => ( ex1 @ X4
                @ ^ [X7: $i] : ( in @ ( kpair @ X2 @ X7 ) @ X6 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',func) ).

thf(breln,axiom,
    ( breln
    = ( ^ [X1: $i,X4: $i,X5: $i] : ( subset @ X5 @ ( cartprod @ X1 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln) ).

thf(funcGraphProp1,axiom,
    ( funcGraphProp1
  <=> ! [X1: $i,X4: $i,X8: $i] :
        ( ( func @ X1 @ X4 @ X8 )
       => ! [X2: $i] :
            ( ( in @ X2 @ X1 )
           => ( in @ ( kpair @ X2 @ ( ap @ X1 @ X4 @ X8 @ X2 ) ) @ X8 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',funcGraphProp1) ).

thf(infuncsetfunc,axiom,
    ( infuncsetfunc
  <=> ! [X1: $i,X4: $i,X8: $i] :
        ( ( in @ X8 @ ( funcSet @ X1 @ X4 ) )
       => ( func @ X1 @ X4 @ X8 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',infuncsetfunc) ).

thf(funcGraphProp3,conjecture,
    ( infuncsetfunc
   => ( funcGraphProp1
     => ! [X1: $i,X4: $i,X8: $i] :
          ( ( in @ X8 @ ( funcSet @ X1 @ X4 ) )
         => ! [X2: $i] :
              ( ( in @ X2 @ X1 )
             => ( in @ ( kpair @ X2 @ ( ap @ X1 @ X4 @ X8 @ X2 ) ) @ X8 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',funcGraphProp3) ).

thf(c_0_7,plain,
    ( ex1
    = ( ^ [Z0: $i,Z1: $i > $o] :
        ? [X20: $i] :
          ( ( in @ X20
            @ ( dsetconstr @ Z0
              @ ^ [Z2: $i] : ( Z1 @ Z2 ) ) )
          & ( ( dsetconstr @ Z0
              @ ^ [Z2: $i] : ( Z1 @ Z2 ) )
            = ( setadjoin @ X20 @ emptyset ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[ex1]) ).

thf(c_0_8,plain,
    ( singleton
    = ( ^ [Z0: $i] :
        ? [X2: $i] :
          ( ( in @ X2 @ Z0 )
          & ( Z0
            = ( setadjoin @ X2 @ emptyset ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[singleton]) ).

thf(c_0_9,plain,
    ( func
    = ( ^ [Z0: $i,Z1: $i,Z2: $i] :
          ( ( subset @ Z2 @ ( cartprod @ Z0 @ Z1 ) )
          & ! [X2: $i] :
              ( ( in @ X2 @ Z0 )
             => ? [X21: $i] :
                  ( ( in @ X21
                    @ ( dsetconstr @ Z1
                      @ ^ [Z3: $i] : ( in @ ( kpair @ X2 @ Z3 ) @ Z2 ) ) )
                  & ( ( dsetconstr @ Z1
                      @ ^ [Z3: $i] : ( in @ ( kpair @ X2 @ Z3 ) @ Z2 ) )
                    = ( setadjoin @ X21 @ emptyset ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[func]) ).

thf(c_0_10,plain,
    ( breln
    = ( ^ [Z0: $i,Z1: $i,Z2: $i] : ( subset @ Z2 @ ( cartprod @ Z0 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[breln]) ).

thf(c_0_11,plain,
    ( ex1
    = ( ^ [Z0: $i,Z1: $i > $o] :
        ? [X20: $i] :
          ( ( in @ X20
            @ ( dsetconstr @ Z0
              @ ^ [Z2: $i] : ( Z1 @ Z2 ) ) )
          & ( ( dsetconstr @ Z0
              @ ^ [Z2: $i] : ( Z1 @ Z2 ) )
            = ( setadjoin @ X20 @ emptyset ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_7,c_0_8]) ).

thf(c_0_12,plain,
    ( func
    = ( ^ [Z0: $i,Z1: $i,Z2: $i] :
          ( ( subset @ Z2 @ ( cartprod @ Z0 @ Z1 ) )
          & ! [X2: $i] :
              ( ( in @ X2 @ Z0 )
             => ? [X21: $i] :
                  ( ( in @ X21
                    @ ( dsetconstr @ Z1
                      @ ^ [Z3: $i] : ( in @ ( kpair @ X2 @ Z3 ) @ Z2 ) ) )
                  & ( ( dsetconstr @ Z1
                      @ ^ [Z3: $i] : ( in @ ( kpair @ X2 @ Z3 ) @ Z2 ) )
                    = ( setadjoin @ X21 @ emptyset ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

thf(c_0_13,axiom,
    ( funcGraphProp1
    = ( ! [X1: $i,X4: $i,X8: $i] :
          ( ( ( subset @ X8 @ ( cartprod @ X1 @ X4 ) )
            & ! [X24: $i] :
                ( ( in @ X24 @ X1 )
               => ? [X25: $i] :
                    ( ( in @ X25
                      @ ( dsetconstr @ X4
                        @ ^ [Z0: $i] : ( in @ ( kpair @ X24 @ Z0 ) @ X8 ) ) )
                    & ( ( dsetconstr @ X4
                        @ ^ [Z0: $i] : ( in @ ( kpair @ X24 @ Z0 ) @ X8 ) )
                      = ( setadjoin @ X25 @ emptyset ) ) ) ) )
         => ! [X2: $i] :
              ( ( in @ X2 @ X1 )
             => ( in @ ( kpair @ X2 @ ( ap @ X1 @ X4 @ X8 @ X2 ) ) @ X8 ) ) ) ) ),
    inference(apply_def,[status(thm)],[funcGraphProp1,c_0_12]) ).

thf(c_0_14,axiom,
    ( infuncsetfunc
    = ( ! [X1: $i,X4: $i,X8: $i] :
          ( ( in @ X8 @ ( funcSet @ X1 @ X4 ) )
         => ( ( subset @ X8 @ ( cartprod @ X1 @ X4 ) )
            & ! [X22: $i] :
                ( ( in @ X22 @ X1 )
               => ? [X23: $i] :
                    ( ( in @ X23
                      @ ( dsetconstr @ X4
                        @ ^ [Z0: $i] : ( in @ ( kpair @ X22 @ Z0 ) @ X8 ) ) )
                    & ( ( dsetconstr @ X4
                        @ ^ [Z0: $i] : ( in @ ( kpair @ X22 @ Z0 ) @ X8 ) )
                      = ( setadjoin @ X23 @ emptyset ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[infuncsetfunc,c_0_12]) ).

thf(c_0_15,negated_conjecture,
    ~ ( ! [X26: $i,X27: $i,X28: $i] :
          ( ( in @ X28 @ ( funcSet @ X26 @ X27 ) )
         => ( ( subset @ X28 @ ( cartprod @ X26 @ X27 ) )
            & ! [X29: $i] :
                ( ( in @ X29 @ X26 )
               => ? [X30: $i] :
                    ( ( in @ X30
                      @ ( dsetconstr @ X27
                        @ ^ [Z0: $i] : ( in @ ( kpair @ X29 @ Z0 ) @ X28 ) ) )
                    & ( ( dsetconstr @ X27
                        @ ^ [Z0: $i] : ( in @ ( kpair @ X29 @ Z0 ) @ X28 ) )
                      = ( setadjoin @ X30 @ emptyset ) ) ) ) ) )
     => ( ! [X31: $i,X32: $i,X33: $i] :
            ( ( ( subset @ X33 @ ( cartprod @ X31 @ X32 ) )
              & ! [X34: $i] :
                  ( ( in @ X34 @ X31 )
                 => ? [X35: $i] :
                      ( ( in @ X35
                        @ ( dsetconstr @ X32
                          @ ^ [Z0: $i] : ( in @ ( kpair @ X34 @ Z0 ) @ X33 ) ) )
                      & ( ( dsetconstr @ X32
                          @ ^ [Z0: $i] : ( in @ ( kpair @ X34 @ Z0 ) @ X33 ) )
                        = ( setadjoin @ X35 @ emptyset ) ) ) ) )
           => ! [X36: $i] :
                ( ( in @ X36 @ X31 )
               => ( in @ ( kpair @ X36 @ ( ap @ X31 @ X32 @ X33 @ X36 ) ) @ X33 ) ) )
       => ! [X1: $i,X4: $i,X8: $i] :
            ( ( in @ X8 @ ( funcSet @ X1 @ X4 ) )
           => ! [X2: $i] :
                ( ( in @ X2 @ X1 )
               => ( in @ ( kpair @ X2 @ ( ap @ X1 @ X4 @ X8 @ X2 ) ) @ X8 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[funcGraphProp3]),c_0_13]),c_0_14]) ).

thf(c_0_16,negated_conjecture,
    ! [X37: $i,X38: $i,X39: $i,X40: $i,X42: $i,X43: $i,X44: $i,X46: $i,X47: $i] :
      ( ( ( subset @ X39 @ ( cartprod @ X37 @ X38 ) )
        | ~ ( in @ X39 @ ( funcSet @ X37 @ X38 ) ) )
      & ( ( in @ ( esk1_4 @ X37 @ X38 @ X39 @ X40 )
          @ ( dsetconstr @ X38
            @ ^ [Z0: $i] : ( in @ ( kpair @ X40 @ Z0 ) @ X39 ) ) )
        | ~ ( in @ X40 @ X37 )
        | ~ ( in @ X39 @ ( funcSet @ X37 @ X38 ) ) )
      & ( ( ( dsetconstr @ X38
            @ ^ [Z0: $i] : ( in @ ( kpair @ X40 @ Z0 ) @ X39 ) )
          = ( setadjoin @ ( esk1_4 @ X37 @ X38 @ X39 @ X40 ) @ emptyset ) )
        | ~ ( in @ X40 @ X37 )
        | ~ ( in @ X39 @ ( funcSet @ X37 @ X38 ) ) )
      & ( ( in @ ( esk2_3 @ X42 @ X43 @ X44 ) @ X42 )
        | ~ ( subset @ X44 @ ( cartprod @ X42 @ X43 ) )
        | ~ ( in @ X47 @ X42 )
        | ( in @ ( kpair @ X47 @ ( ap @ X42 @ X43 @ X44 @ X47 ) ) @ X44 ) )
      & ( ~ ( in @ X46
            @ ( dsetconstr @ X43
              @ ^ [Z0: $i] : ( in @ ( kpair @ ( esk2_3 @ X42 @ X43 @ X44 ) @ Z0 ) @ X44 ) ) )
        | ( ( dsetconstr @ X43
            @ ^ [Z0: $i] : ( in @ ( kpair @ ( esk2_3 @ X42 @ X43 @ X44 ) @ Z0 ) @ X44 ) )
         != ( setadjoin @ X46 @ emptyset ) )
        | ~ ( subset @ X44 @ ( cartprod @ X42 @ X43 ) )
        | ~ ( in @ X47 @ X42 )
        | ( in @ ( kpair @ X47 @ ( ap @ X42 @ X43 @ X44 @ X47 ) ) @ X44 ) )
      & ( in @ esk5_0 @ ( funcSet @ esk3_0 @ esk4_0 ) )
      & ( in @ esk6_0 @ esk3_0 )
      & ~ ( in @ ( kpair @ esk6_0 @ ( ap @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) ) @ 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_15])])])])])]) ).

thf(c_0_17,negated_conjecture,
    ! [X2: $i,X5: $i,X4: $i,X1: $i] :
      ( ( in @ ( esk2_3 @ X1 @ X2 @ X4 ) @ X1 )
      | ( in @ ( kpair @ X5 @ ( ap @ X1 @ X2 @ X4 @ X5 ) ) @ X4 )
      | ~ ( subset @ X4 @ ( cartprod @ X1 @ X2 ) )
      | ~ ( in @ X5 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_18,negated_conjecture,
    ! [X1: $i,X2: $i,X4: $i] :
      ( ( subset @ X1 @ ( cartprod @ X2 @ X4 ) )
      | ~ ( in @ X1 @ ( funcSet @ X2 @ X4 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_19,negated_conjecture,
    ! [X1: $i,X5: $i,X4: $i,X2: $i] :
      ( ( in @ ( kpair @ X1 @ ( ap @ X2 @ X4 @ X5 @ X1 ) ) @ X5 )
      | ( in @ ( esk2_3 @ X2 @ X4 @ X5 ) @ X2 )
      | ~ ( in @ X5 @ ( funcSet @ X2 @ X4 ) )
      | ~ ( in @ X1 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

thf(c_0_20,negated_conjecture,
    in @ esk5_0 @ ( funcSet @ esk3_0 @ esk4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_21,negated_conjecture,
    ! [X1: $i,X2: $i,X5: $i,X6: $i,X4: $i] :
      ( ( in @ ( kpair @ X6 @ ( ap @ X4 @ X2 @ X5 @ X6 ) ) @ X5 )
      | ~ ( in @ X1
          @ ( dsetconstr @ X2
            @ ^ [Z0: $i] : ( in @ ( kpair @ ( esk2_3 @ X4 @ X2 @ X5 ) @ Z0 ) @ X5 ) ) )
      | ( ( dsetconstr @ X2
          @ ^ [Z0: $i] : ( in @ ( kpair @ ( esk2_3 @ X4 @ X2 @ X5 ) @ Z0 ) @ X5 ) )
       != ( setadjoin @ X1 @ emptyset ) )
      | ~ ( subset @ X5 @ ( cartprod @ X4 @ X2 ) )
      | ~ ( in @ X6 @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_22,negated_conjecture,
    ! [X1: $i,X5: $i,X4: $i,X2: $i] :
      ( ( in @ ( esk1_4 @ X1 @ X2 @ X4 @ X5 )
        @ ( dsetconstr @ X2
          @ ^ [Z0: $i] : ( in @ ( kpair @ X5 @ Z0 ) @ X4 ) ) )
      | ~ ( in @ X5 @ X1 )
      | ~ ( in @ X4 @ ( funcSet @ X1 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_23,negated_conjecture,
    ! [X2: $i,X5: $i,X4: $i,X1: $i] :
      ( ( ( dsetconstr @ X1
          @ ^ [Z0: $i] : ( in @ ( kpair @ X2 @ Z0 ) @ X4 ) )
        = ( setadjoin @ ( esk1_4 @ X5 @ X1 @ X4 @ X2 ) @ emptyset ) )
      | ~ ( in @ X2 @ X5 )
      | ~ ( in @ X4 @ ( funcSet @ X5 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_24,negated_conjecture,
    ~ ( in @ ( kpair @ esk6_0 @ ( ap @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) ) @ esk5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_25,negated_conjecture,
    ! [X1: $i] :
      ( ( in @ ( kpair @ X1 @ ( ap @ esk3_0 @ esk4_0 @ esk5_0 @ X1 ) ) @ esk5_0 )
      | ( in @ ( esk2_3 @ esk3_0 @ esk4_0 @ esk5_0 ) @ esk3_0 )
      | ~ ( in @ X1 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

thf(c_0_26,negated_conjecture,
    in @ esk6_0 @ esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_27,negated_conjecture,
    ! [X1: $i,X6: $i,X5: $i,X4: $i,X2: $i] :
      ( ( in @ ( kpair @ X1 @ ( ap @ X2 @ X4 @ X5 @ X1 ) ) @ X5 )
      | ~ ( in @ ( esk2_3 @ X2 @ X4 @ X5 ) @ X6 )
      | ~ ( subset @ X5 @ ( cartprod @ X2 @ X4 ) )
      | ~ ( in @ X5 @ ( funcSet @ X6 @ X4 ) )
      | ~ ( in @ X1 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

thf(c_0_28,negated_conjecture,
    in @ ( esk2_3 @ esk3_0 @ esk4_0 @ esk5_0 ) @ esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

thf(c_0_29,negated_conjecture,
    ! [X1: $i] :
      ( ( in @ ( kpair @ X1 @ ( ap @ esk3_0 @ esk4_0 @ esk5_0 @ X1 ) ) @ esk5_0 )
      | ~ ( subset @ esk5_0 @ ( cartprod @ esk3_0 @ esk4_0 ) )
      | ~ ( in @ X1 @ esk3_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_20])]) ).

thf(c_0_30,negated_conjecture,
    ~ ( subset @ esk5_0 @ ( cartprod @ esk3_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_29]),c_0_26])]) ).

thf(c_0_31,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_18]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SEU685^2 : TPTP v8.2.0. Released v3.7.0.
% 0.09/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sun May 19 17:02:53 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.17/0.45  Running higher-order theorem proving
% 0.17/0.45  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
% 0.17/0.46  # Version: 3.1.0-ho
% 0.17/0.46  # Preprocessing class: HSSSSLSSSLMNHFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting ho_unfolding_6 with 1500s (5) cores
% 0.17/0.46  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.17/0.46  # Starting pre_casc_5 with 300s (1) cores
% 0.17/0.46  # Starting ehoh_best_sine with 300s (1) cores
% 0.17/0.46  # ehoh_best_sine with pid 31354 completed with status 0
% 0.17/0.46  # Result found by ehoh_best_sine
% 0.17/0.46  # Preprocessing class: HSSSSLSSSLMNHFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting ho_unfolding_6 with 1500s (5) cores
% 0.17/0.46  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.17/0.46  # Starting pre_casc_5 with 300s (1) cores
% 0.17/0.46  # Starting ehoh_best_sine with 300s (1) cores
% 0.17/0.46  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.46  # Search class: HGUSF-FFSF32-MHFFMFNN
% 0.17/0.46  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46  # Starting new_ho_10 with 163s (1) cores
% 0.17/0.46  # new_ho_10 with pid 31357 completed with status 0
% 0.17/0.46  # Result found by new_ho_10
% 0.17/0.46  # Preprocessing class: HSSSSLSSSLMNHFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting ho_unfolding_6 with 1500s (5) cores
% 0.17/0.47  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.17/0.47  # Starting pre_casc_5 with 300s (1) cores
% 0.17/0.47  # Starting ehoh_best_sine with 300s (1) cores
% 0.17/0.47  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.47  # Search class: HGUSF-FFSF32-MHFFMFNN
% 0.17/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47  # Starting new_ho_10 with 163s (1) cores
% 0.17/0.47  # Preprocessing time       : 0.001 s
% 0.17/0.47  # Presaturation interreduction done
% 0.17/0.47  
% 0.17/0.47  # Proof found!
% 0.17/0.47  # SZS status Theorem
% 0.17/0.47  # SZS output start CNFRefutation
% See solution above
% 0.17/0.47  # Parsed axioms                        : 22
% 0.17/0.47  # Removed by relevancy pruning/SinE    : 15
% 0.17/0.47  # Initial clauses                      : 8
% 0.17/0.47  # Removed in clause preprocessing      : 0
% 0.17/0.47  # Initial clauses in saturation        : 8
% 0.17/0.47  # Processed clauses                    : 22
% 0.17/0.47  # ...of these trivial                  : 0
% 0.17/0.47  # ...subsumed                          : 0
% 0.17/0.47  # ...remaining for further processing  : 22
% 0.17/0.47  # Other redundant clauses eliminated   : 0
% 0.17/0.47  # Clauses deleted for lack of memory   : 0
% 0.17/0.47  # Backward-subsumed                    : 1
% 0.17/0.47  # Backward-rewritten                   : 1
% 0.17/0.47  # Generated clauses                    : 7
% 0.17/0.47  # ...of the previous two non-redundant : 6
% 0.17/0.47  # ...aggressively subsumed             : 0
% 0.17/0.47  # Contextual simplify-reflections      : 1
% 0.17/0.47  # Paramodulations                      : 7
% 0.17/0.47  # Factorizations                       : 0
% 0.17/0.47  # NegExts                              : 0
% 0.17/0.47  # Equation resolutions                 : 0
% 0.17/0.47  # Disequality decompositions           : 0
% 0.17/0.47  # Total rewrite steps                  : 5
% 0.17/0.47  # ...of those cached                   : 2
% 0.17/0.47  # Propositional unsat checks           : 0
% 0.17/0.47  #    Propositional check models        : 0
% 0.17/0.47  #    Propositional check unsatisfiable : 0
% 0.17/0.47  #    Propositional clauses             : 0
% 0.17/0.47  #    Propositional clauses after purity: 0
% 0.17/0.47  #    Propositional unsat core size     : 0
% 0.17/0.47  #    Propositional preprocessing time  : 0.000
% 0.17/0.47  #    Propositional encoding time       : 0.000
% 0.17/0.47  #    Propositional solver time         : 0.000
% 0.17/0.47  #    Success case prop preproc time    : 0.000
% 0.17/0.47  #    Success case prop encoding time   : 0.000
% 0.17/0.47  #    Success case prop solver time     : 0.000
% 0.17/0.47  # Current number of processed clauses  : 12
% 0.17/0.47  #    Positive orientable unit clauses  : 3
% 0.17/0.47  #    Positive unorientable unit clauses: 0
% 0.17/0.47  #    Negative unit clauses             : 2
% 0.17/0.47  #    Non-unit-clauses                  : 7
% 0.17/0.47  # Current number of unprocessed clauses: 0
% 0.17/0.47  # ...number of literals in the above   : 0
% 0.17/0.47  # Current number of archived formulas  : 0
% 0.17/0.47  # Current number of archived clauses   : 10
% 0.17/0.47  # Clause-clause subsumption calls (NU) : 30
% 0.17/0.47  # Rec. Clause-clause subsumption calls : 12
% 0.17/0.47  # Non-unit clause-clause subsumptions  : 1
% 0.17/0.47  # Unit Clause-clause subsumption calls : 3
% 0.17/0.47  # Rewrite failures with RHS unbound    : 0
% 0.17/0.47  # BW rewrite match attempts            : 1
% 0.17/0.47  # BW rewrite match successes           : 1
% 0.17/0.47  # Condensation attempts                : 22
% 0.17/0.47  # Condensation successes               : 0
% 0.17/0.47  # Termbank termtop insertions          : 2008
% 0.17/0.47  # Search garbage collected termcells   : 520
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.004 s
% 0.17/0.47  # System time              : 0.003 s
% 0.17/0.47  # Total time               : 0.007 s
% 0.17/0.47  # Maximum resident set size: 1860 pages
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.007 s
% 0.17/0.47  # System time              : 0.003 s
% 0.17/0.47  # Total time               : 0.010 s
% 0.17/0.47  # Maximum resident set size: 1768 pages
% 0.17/0.47  % E---3.1 exiting
% 0.17/0.47  % E exiting
%------------------------------------------------------------------------------