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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU699^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 08:25:15 AM UTC 2026

% Result   : Theorem 0.53s 0.40s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :  123 (  26 equ;   0 cnn)
%            Maximal formula atoms :   23 (   3 avg)
%            Number of connectives :  736 (  30   ~;  36   |;   8   &; 614   @)
%                                         (   6 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   8 con; 0-4 aty)
%            Number of variables   :  115 (   6   ^; 109   !;   0   ?; 115   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_23,type,
    in: $i > $i > $o ).

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

thf(decl_25,type,
    ap: $i > $i > $i > $i > $i ).

thf(decl_26,type,
    ap2p: $o ).

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

thf(decl_28,type,
    lam2p: $o ).

thf(decl_29,type,
    funcext2: $o ).

thf(decl_30,type,
    beta2: $o ).

thf(decl_31,type,
    esk1_3: $i > $i > ( $i > $i ) > $i ).

thf(decl_32,type,
    esk2_4: $i > $i > $i > $i > $i ).

thf(decl_33,type,
    esk3_3: $i > $i > ( $i > $i ) > $i ).

thf(decl_34,type,
    esk4_0: $i ).

thf(decl_35,type,
    esk5_0: $i ).

thf(decl_36,type,
    esk6_0: $i ).

thf(eta2,conjecture,
    ( ap2p
   => ( lam2p
     => ( funcext2
       => ( beta2
         => ! [X1: $i,X2: $i,X3: $i] :
              ( ( in @ X3 @ ( funcSet @ X1 @ X2 ) )
             => ( ( lam @ X1 @ X2
                  @ ^ [X4: $i] : ( ap @ X1 @ X2 @ X3 @ X4 ) )
                = X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.09sgdtvkS7/E---3.1_2566588.p',eta2) ).

thf(lam2p,axiom,
    ( lam2p
  <=> ! [X1: $i,X2: $i,X5: $i > $i] :
        ( ! [X4: $i] :
            ( ( in @ X4 @ X1 )
           => ( in @ ( X5 @ X4 ) @ X2 ) )
       => ( in
          @ ( lam @ X1 @ X2
            @ ^ [X4: $i] : ( X5 @ X4 ) )
          @ ( funcSet @ X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.09sgdtvkS7/E---3.1_2566588.p',lam2p) ).

thf(beta2,axiom,
    ( beta2
  <=> ! [X1: $i,X2: $i,X7: $i > $i] :
        ( ! [X4: $i] :
            ( ( in @ X4 @ X1 )
           => ( in @ ( X7 @ X4 ) @ X2 ) )
       => ! [X4: $i] :
            ( ( in @ X4 @ X1 )
           => ( ( ap @ X1 @ X2
                @ ( lam @ X1 @ X2
                  @ ^ [X8: $i] : ( X7 @ X8 ) )
                @ X4 )
              = ( X7 @ X4 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.09sgdtvkS7/E---3.1_2566588.p',beta2) ).

thf(ap2p,axiom,
    ( ap2p
  <=> ! [X1: $i,X2: $i,X3: $i] :
        ( ( in @ X3 @ ( funcSet @ X1 @ X2 ) )
       => ! [X4: $i] :
            ( ( in @ X4 @ X1 )
           => ( in @ ( ap @ X1 @ X2 @ X3 @ X4 ) @ X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.09sgdtvkS7/E---3.1_2566588.p',ap2p) ).

thf(funcext2,axiom,
    ( funcext2
  <=> ! [X1: $i,X2: $i,X3: $i] :
        ( ( in @ X3 @ ( funcSet @ X1 @ X2 ) )
       => ! [X6: $i] :
            ( ( in @ X6 @ ( funcSet @ X1 @ X2 ) )
           => ( ! [X4: $i] :
                  ( ( in @ X4 @ X1 )
                 => ( ( ap @ X1 @ X2 @ X3 @ X4 )
                    = ( ap @ X1 @ X2 @ X6 @ X4 ) ) )
             => ( X3 = X6 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.09sgdtvkS7/E---3.1_2566588.p',funcext2) ).

thf(c_0_5,negated_conjecture,
    ~ ( ap2p
     => ( lam2p
       => ( funcext2
         => ( beta2
           => ! [X1: $i,X2: $i,X3: $i] :
                ( ( in @ X3 @ ( funcSet @ X1 @ X2 ) )
               => ( ( lam @ X1 @ X2
                    @ ^ [X4: $i] : ( ap @ X1 @ X2 @ X3 @ X4 ) )
                  = X3 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[eta2]) ).

thf(c_0_6,plain,
    ( lam2p
  <=> ! [X1: $i,X2: $i,X5: $i > $i] :
        ( ! [X4: $i] :
            ( ( in @ X4 @ X1 )
           => ( in @ ( X5 @ X4 ) @ X2 ) )
       => ( in
          @ ( lam @ X1 @ X2
            @ ^ [Z0: $i] : ( X5 @ Z0 ) )
          @ ( funcSet @ X1 @ X2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[lam2p]) ).

thf(c_0_7,plain,
    ( beta2
  <=> ! [X1: $i,X2: $i,X7: $i > $i] :
        ( ! [X4: $i] :
            ( ( in @ X4 @ X1 )
           => ( in @ ( X7 @ X4 ) @ X2 ) )
       => ! [X4: $i] :
            ( ( in @ X4 @ X1 )
           => ( ( ap @ X1 @ X2
                @ ( lam @ X1 @ X2
                  @ ^ [Z0: $i] : ( X7 @ Z0 ) )
                @ X4 )
              = ( X7 @ X4 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[beta2]) ).

thf(c_0_8,negated_conjecture,
    ~ ( ! [X30: $i,X31: $i,X32: $i] :
          ( ( in @ X32 @ ( funcSet @ X30 @ X31 ) )
         => ! [X33: $i] :
              ( ( in @ X33 @ X30 )
             => ( in @ ( ap @ X30 @ X31 @ X32 @ X33 ) @ X31 ) ) )
     => ( ! [X34: $i,X35: $i,X36: $i > $i] :
            ( ! [X37: $i] :
                ( ( in @ X37 @ X34 )
               => ( in @ ( X36 @ X37 ) @ X35 ) )
           => ( in @ ( lam @ X34 @ X35 @ X36 ) @ ( funcSet @ X34 @ X35 ) ) )
       => ( ! [X38: $i,X39: $i,X40: $i] :
              ( ( in @ X40 @ ( funcSet @ X38 @ X39 ) )
             => ! [X41: $i] :
                  ( ( in @ X41 @ ( funcSet @ X38 @ X39 ) )
                 => ( ! [X42: $i] :
                        ( ( in @ X42 @ X38 )
                       => ( ( ap @ X38 @ X39 @ X40 @ X42 )
                          = ( ap @ X38 @ X39 @ X41 @ X42 ) ) )
                   => ( X40 = X41 ) ) ) )
         => ( ! [X43: $i,X44: $i,X45: $i > $i] :
                ( ! [X46: $i] :
                    ( ( in @ X46 @ X43 )
                   => ( in @ ( X45 @ X46 ) @ X44 ) )
               => ! [X47: $i] :
                    ( ( in @ X47 @ X43 )
                   => ( ( ap @ X43 @ X44 @ ( lam @ X43 @ X44 @ X45 ) @ X47 )
                      = ( X45 @ X47 ) ) ) )
           => ! [X1: $i,X2: $i,X3: $i] :
                ( ( in @ X3 @ ( funcSet @ X1 @ X2 ) )
               => ( ( lam @ X1 @ X2 @ ( ap @ X1 @ X2 @ X3 ) )
                  = X3 ) ) ) ) ) ),
    inference(fool_unroll,[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_5]),ap2p]),c_0_6]),funcext2]),c_0_7])]) ).

thf(c_0_9,negated_conjecture,
    ! [X48: $i,X49: $i,X50: $i,X51: $i,X52: $i,X53: $i,X54: $i > $i,X56: $i,X57: $i,X58: $i,X59: $i,X61: $i,X62: $i,X63: $i > $i,X65: $i] :
      ( ( ~ ( in @ X50 @ ( funcSet @ X48 @ X49 ) )
        | ~ ( in @ X51 @ X48 )
        | ( in @ ( ap @ X48 @ X49 @ X50 @ X51 ) @ X49 ) )
      & ( ( in @ ( esk1_3 @ X52 @ X53 @ X54 ) @ X52 )
        | ( in @ ( lam @ X52 @ X53 @ X54 ) @ ( funcSet @ X52 @ X53 ) ) )
      & ( ~ ( in @ ( X54 @ ( esk1_3 @ X52 @ X53 @ X54 ) ) @ X53 )
        | ( in @ ( lam @ X52 @ X53 @ X54 ) @ ( funcSet @ X52 @ X53 ) ) )
      & ( ( in @ ( esk2_4 @ X56 @ X57 @ X58 @ X59 ) @ X56 )
        | ( X58 = X59 )
        | ~ ( in @ X59 @ ( funcSet @ X56 @ X57 ) )
        | ~ ( in @ X58 @ ( funcSet @ X56 @ X57 ) ) )
      & ( ( ( ap @ X56 @ X57 @ X58 @ ( esk2_4 @ X56 @ X57 @ X58 @ X59 ) )
         != ( ap @ X56 @ X57 @ X59 @ ( esk2_4 @ X56 @ X57 @ X58 @ X59 ) ) )
        | ( X58 = X59 )
        | ~ ( in @ X59 @ ( funcSet @ X56 @ X57 ) )
        | ~ ( in @ X58 @ ( funcSet @ X56 @ X57 ) ) )
      & ( ( in @ ( esk3_3 @ X61 @ X62 @ X63 ) @ X61 )
        | ~ ( in @ X65 @ X61 )
        | ( ( ap @ X61 @ X62 @ ( lam @ X61 @ X62 @ X63 ) @ X65 )
          = ( X63 @ X65 ) ) )
      & ( ~ ( in @ ( X63 @ ( esk3_3 @ X61 @ X62 @ X63 ) ) @ X62 )
        | ~ ( in @ X65 @ X61 )
        | ( ( ap @ X61 @ X62 @ ( lam @ X61 @ X62 @ X63 ) @ X65 )
          = ( X63 @ X65 ) ) )
      & ( in @ esk6_0 @ ( funcSet @ esk4_0 @ esk5_0 ) )
      & ( ( lam @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) )
       != esk6_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_8])])])])])]) ).

thf(c_0_10,negated_conjecture,
    ! [X1: $i,X4: $i,X3: $i,X2: $i] :
      ( ( in @ ( ap @ X2 @ X3 @ X1 @ X4 ) @ X3 )
      | ~ ( in @ X1 @ ( funcSet @ X2 @ X3 ) )
      | ~ ( in @ X4 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_11,negated_conjecture,
    ! [X1: $i,X5: $i > $i,X2: $i] :
      ( ( in @ ( esk1_3 @ X1 @ X2 @ X5 ) @ X1 )
      | ( in @ ( lam @ X1 @ X2 @ X5 ) @ ( funcSet @ X1 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_12,negated_conjecture,
    ! [X1: $i,X5: $i > $i,X4: $i,X3: $i,X2: $i] :
      ( ( in @ ( ap @ X1 @ X2 @ X3 @ ( esk1_3 @ X1 @ X4 @ X5 ) ) @ X2 )
      | ( in @ ( lam @ X1 @ X4 @ X5 ) @ ( funcSet @ X1 @ X4 ) )
      | ~ ( in @ X3 @ ( funcSet @ X1 @ X2 ) ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

thf(c_0_13,negated_conjecture,
    in @ esk6_0 @ ( funcSet @ esk4_0 @ esk5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_14,negated_conjecture,
    ! [X1: $i,X4: $i,X3: $i,X2: $i] :
      ( ( in @ ( esk2_4 @ X1 @ X2 @ X3 @ X4 ) @ X1 )
      | ( X3 = X4 )
      | ~ ( in @ X4 @ ( funcSet @ X1 @ X2 ) )
      | ~ ( in @ X3 @ ( funcSet @ X1 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_15,negated_conjecture,
    ! [X1: $i,X5: $i > $i,X2: $i] :
      ( ( in @ ( lam @ X1 @ X2 @ X5 ) @ ( funcSet @ X1 @ X2 ) )
      | ~ ( in @ ( X5 @ ( esk1_3 @ X1 @ X2 @ X5 ) ) @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_16,negated_conjecture,
    ! [X5: $i > $i,X1: $i] :
      ( ( in @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 @ ( esk1_3 @ esk4_0 @ X1 @ X5 ) ) @ esk5_0 )
      | ( in @ ( lam @ esk4_0 @ X1 @ X5 ) @ ( funcSet @ esk4_0 @ X1 ) ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

thf(c_0_17,negated_conjecture,
    ! [X1: $i] :
      ( ( X1 = esk6_0 )
      | ( in @ ( esk2_4 @ esk4_0 @ esk5_0 @ X1 @ esk6_0 ) @ esk4_0 )
      | ~ ( in @ X1 @ ( funcSet @ esk4_0 @ esk5_0 ) ) ),
    inference(spm,[status(thm)],[c_0_14,c_0_13]) ).

thf(c_0_18,negated_conjecture,
    in @ ( lam @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) ) @ ( funcSet @ esk4_0 @ esk5_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

thf(c_0_19,negated_conjecture,
    ( ( lam @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) )
   != esk6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_20,negated_conjecture,
    ! [X5: $i > $i,X3: $i,X2: $i,X1: $i] :
      ( ( in @ ( esk3_3 @ X1 @ X2 @ X5 ) @ X1 )
      | ( ( ap @ X1 @ X2 @ ( lam @ X1 @ X2 @ X5 ) @ X3 )
        = ( X5 @ X3 ) )
      | ~ ( in @ X3 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_21,negated_conjecture,
    in @ ( esk2_4 @ esk4_0 @ esk5_0 @ ( lam @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) ) @ esk6_0 ) @ esk4_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

thf(c_0_22,negated_conjecture,
    ! [X1: $i,X4: $i,X3: $i,X2: $i] :
      ( ( X3 = X4 )
      | ( ( ap @ X1 @ X2 @ X3 @ ( esk2_4 @ X1 @ X2 @ X3 @ X4 ) )
       != ( ap @ X1 @ X2 @ X4 @ ( esk2_4 @ X1 @ X2 @ X3 @ X4 ) ) )
      | ~ ( in @ X4 @ ( funcSet @ X1 @ X2 ) )
      | ~ ( in @ X3 @ ( funcSet @ X1 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_23,negated_conjecture,
    ! [X1: $i,X5: $i > $i] :
      ( ( ( ap @ esk4_0 @ X1 @ ( lam @ esk4_0 @ X1 @ X5 ) @ ( esk2_4 @ esk4_0 @ esk5_0 @ ( lam @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) ) @ esk6_0 ) )
        = ( X5 @ ( esk2_4 @ esk4_0 @ esk5_0 @ ( lam @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) ) @ esk6_0 ) ) )
      | ( in @ ( esk3_3 @ esk4_0 @ X1 @ X5 ) @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

thf(c_0_24,negated_conjecture,
    in @ ( esk3_3 @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) ) @ esk4_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_13]),c_0_18])]),c_0_19]) ).

thf(c_0_25,negated_conjecture,
    ! [X5: $i > $i,X3: $i,X2: $i,X1: $i] :
      ( ( ( ap @ X1 @ X2 @ ( lam @ X1 @ X2 @ X5 ) @ X3 )
        = ( X5 @ X3 ) )
      | ~ ( in @ ( X5 @ ( esk3_3 @ X1 @ X2 @ X5 ) ) @ X2 )
      | ~ ( in @ X3 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_26,negated_conjecture,
    ! [X2: $i,X1: $i] :
      ( ( in @ ( ap @ esk4_0 @ X1 @ X2 @ ( esk3_3 @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) ) ) @ X1 )
      | ~ ( in @ X2 @ ( funcSet @ esk4_0 @ X1 ) ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_24]) ).

thf(c_0_27,negated_conjecture,
    ! [X5: $i > $i,X1: $i] :
      ( ( ( ap @ esk4_0 @ X1 @ ( lam @ esk4_0 @ X1 @ X5 ) @ ( esk2_4 @ esk4_0 @ esk5_0 @ ( lam @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) ) @ esk6_0 ) )
        = ( X5 @ ( esk2_4 @ esk4_0 @ esk5_0 @ ( lam @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) ) @ esk6_0 ) ) )
      | ~ ( in @ ( X5 @ ( esk3_3 @ esk4_0 @ X1 @ X5 ) ) @ X1 ) ),
    inference(spm,[status(thm)],[c_0_25,c_0_21]) ).

thf(c_0_28,negated_conjecture,
    in @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 @ ( esk3_3 @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) ) ) @ esk5_0,
    inference(spm,[status(thm)],[c_0_26,c_0_13]) ).

thf(c_0_29,negated_conjecture,
    ( ( ap @ esk4_0 @ esk5_0 @ ( lam @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) ) @ ( esk2_4 @ esk4_0 @ esk5_0 @ ( lam @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) ) @ esk6_0 ) )
    = ( ap @ esk4_0 @ esk5_0 @ esk6_0 @ ( esk2_4 @ esk4_0 @ esk5_0 @ ( lam @ esk4_0 @ esk5_0 @ ( ap @ esk4_0 @ esk5_0 @ esk6_0 ) ) @ esk6_0 ) ) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

thf(c_0_30,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_29]),c_0_13]),c_0_18])]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU699^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n003.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Tue Sep 29 14:13:44 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.21  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.27  Running higher-order theorem proving
% 0.21/0.28  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.09sgdtvkS7/E---3.1_2566588.p
% 0.53/0.40  % Version: 3.5.1-ho
% 0.53/0.40  % Preprocessing class: HSSSSLSSSLMNSSA.
% 0.53/0.40  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.40  % Starting new_ho_10 with 1500s (5) cores
% 0.53/0.40  % Starting new_bool_2 with 300s (1) cores
% 0.53/0.40  % Starting new_bool_9 with 300s (1) cores
% 0.53/0.40  % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.53/0.40  % new_ho_10 with pid 2566601 completed with status 0
% 0.53/0.40  % Result found by new_ho_10
% 0.53/0.40  % Preprocessing class: HSSSSLSSSLMNSSA.
% 0.53/0.40  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.40  % Starting new_ho_10 with 1500s (5) cores
% 0.53/0.40  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.53/0.40  % No SInE strategy applied
% 0.53/0.40  % Search class: HGUSF-FFSF33-SSSFMSNN
% 0.53/0.40  % partial match(3): HGUSF-FFSF22-SSSFMSBN
% 0.53/0.40  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.53/0.40  % Starting SubtermCWHack with 151s (1) cores
% 0.53/0.40  % Starting new_ho_10 with 901s (1) cores
% 0.53/0.40  % Starting new_bool_2 with 151s (1) cores
% 0.53/0.40  % Starting new_bool_9 with 151s (1) cores
% 0.53/0.40  % Starting ehoh_best8_lambda with 146s (1) cores
% 0.53/0.40  % ehoh_best8_lambda with pid 2566610 completed with status 0
% 0.53/0.40  % Result found by ehoh_best8_lambda
% 0.53/0.40  % Preprocessing class: HSSSSLSSSLMNSSA.
% 0.53/0.40  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.40  % Starting new_ho_10 with 1500s (5) cores
% 0.53/0.40  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.53/0.40  % No SInE strategy applied
% 0.53/0.40  % Search class: HGUSF-FFSF33-SSSFMSNN
% 0.53/0.40  % partial match(3): HGUSF-FFSF22-SSSFMSBN
% 0.53/0.40  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.53/0.40  % Starting SubtermCWHack with 151s (1) cores
% 0.53/0.40  % Starting new_ho_10 with 901s (1) cores
% 0.53/0.40  % Starting new_bool_2 with 151s (1) cores
% 0.53/0.40  % Starting new_bool_9 with 151s (1) cores
% 0.53/0.40  % Starting ehoh_best8_lambda with 146s (1) cores
% 0.53/0.40  % Preprocessing time       : 0.001 s
% 0.53/0.40  % Presaturation interreduction done
% 0.53/0.40  
% 0.53/0.40  % Proof found!
% 0.53/0.40  % SZS status Theorem
% 0.53/0.40  % SZS output start CNFRefutation
% See solution above
% 0.53/0.40  % Parsed axioms                        : 13
% 0.53/0.40  % Removed by relevancy pruning/SinE    : 0
% 0.53/0.40  % Initial clauses                      : 17
% 0.53/0.40  % Removed in clause preprocessing      : 8
% 0.53/0.40  % Initial clauses in saturation        : 9
% 0.53/0.40  % Processed clauses                    : 146
% 0.53/0.40  % ...of these trivial                  : 0
% 0.53/0.40  % ...subsumed                          : 1
% 0.53/0.40  % ...remaining for further processing  : 145
% 0.53/0.40  % Other redundant clauses eliminated   : 0
% 0.53/0.40  % Clauses deleted for lack of memory   : 0
% 0.53/0.40  % Backward-subsumed                    : 0
% 0.53/0.40  % Backward-rewritten                   : 2
% 0.53/0.40  % Generated clauses                    : 1287
% 0.53/0.40  % ...of the previous two non-redundant : 1279
% 0.53/0.40  % ...aggressively subsumed             : 0
% 0.53/0.40  % Contextual simplify-reflections      : 0
% 0.53/0.40  % Paramodulations                      : 1286
% 0.53/0.40  % Factorizations                       : 0
% 0.53/0.40  % NegExts                              : 0
% 0.53/0.40  % Equation resolutions                 : 1
% 0.53/0.40  % Disequality decompositions           : 0
% 0.53/0.40  % Total rewrite steps                  : 11
% 0.53/0.40  % ...of those cached                   : 4
% 0.53/0.40  % Propositional unsat checks           : 0
% 0.53/0.40  %    Propositional check models        : 0
% 0.53/0.40  %    Propositional check unsatisfiable : 0
% 0.53/0.40  %    Propositional clauses             : 0
% 0.53/0.40  %    Propositional clauses after purity: 0
% 0.53/0.40  %    Propositional unsat core size     : 0
% 0.53/0.40  %    Propositional preprocessing time  : 0.000
% 0.53/0.40  %    Propositional encoding time       : 0.000
% 0.53/0.40  %    Propositional solver time         : 0.000
% 0.53/0.40  %    Success case prop preproc time    : 0.000
% 0.53/0.40  %    Success case prop encoding time   : 0.000
% 0.53/0.40  %    Success case prop solver time     : 0.000
% 0.53/0.40  % Current number of processed clauses  : 134
% 0.53/0.40  %    Positive orientable unit clauses  : 15
% 0.53/0.40  %    Positive unorientable unit clauses: 0
% 0.53/0.40  %    Negative unit clauses             : 1
% 0.53/0.40  %    Non-unit-clauses                  : 118
% 0.53/0.40  % Current number of unprocessed clauses: 1151
% 0.53/0.40  % ...number of literals in the above   : 3529
% 0.53/0.40  % Current number of archived formulas  : 0
% 0.53/0.40  % Current number of archived clauses   : 11
% 0.53/0.40  % Clause-clause subsumption calls (NU) : 1542
% 0.53/0.40  % Rec. Clause-clause subsumption calls : 1179
% 0.53/0.40  % Non-unit clause-clause subsumptions  : 1
% 0.53/0.40  % Unit Clause-clause subsumption calls : 287
% 0.53/0.40  % Rewrite failures with RHS unbound    : 0
% 0.53/0.40  % BW rewrite match attempts            : 202
% 0.53/0.40  % BW rewrite match successes           : 2
% 0.53/0.40  % Condensation attempts                : 0
% 0.53/0.40  % Condensation successes               : 0
% 0.53/0.40  % Termbank termtop insertions          : 112239
% 0.53/0.40  % Search garbage collected termcells   : 578
% 0.53/0.40  
% 0.53/0.40  % -------------------------------------------------
% 0.53/0.40  % User time                : 0.063 s
% 0.53/0.40  % System time              : 0.007 s
% 0.53/0.40  % Total time               : 0.070 s
% 0.53/0.40  % Maximum resident set size: 3644 pages
% 0.53/0.40  
% 0.53/0.40  % -------------------------------------------------
% 0.53/0.40  % User time                : 0.313 s
% 0.53/0.40  % System time              : 0.032 s
% 0.53/0.40  % Total time               : 0.344 s
% 0.53/0.40  % Maximum resident set size: 4608 pages
% 0.53/0.40  % E exiting
%------------------------------------------------------------------------------