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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU708^2 : 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 : n004.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 08:25:17 AM UTC 2026

% Result   : Theorem 0.20s 0.28s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   37 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :  189 (  83 equ;   0 cnn)
%            Maximal formula atoms :   24 (   5 avg)
%            Number of connectives :  537 (  94   ~;  63   |;  51   &; 286   @)
%                                         (   5 <=>;  37  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   27 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  13 usr;   9 con; 0-4 aty)
%            Number of variables   :  138 (  38   ^; 100   !;   0   ?; 138   :)

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

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

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

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

thf(decl_27,type,
    iffalseProp1: $o ).

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

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

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

thf(decl_31,type,
    esk1_0: $i ).

thf(decl_32,type,
    epred1_0: $o ).

thf(decl_33,type,
    esk2_0: $i ).

thf(decl_34,type,
    esk3_0: $i ).

thf(decl_36,type,
    esk3_3: $o > $i > $i > $i ).

thf(iffalse,conjecture,
    ( iffalseProp1
   => ( ifSingleton
     => ( theeq
       => ! [X1: $i,X2: $o,X3: $i] :
            ( ( in @ X3 @ X1 )
           => ! [X4: $i] :
                ( ( in @ X4 @ X1 )
               => ( ~ X2
                 => ( ( if @ X1 @ X2 @ X3 @ X4 )
                    = X4 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lmZSZCcP4S/E---3.1_1345363.p',iffalse) ).

thf(iffalseProp1,axiom,
    ( iffalseProp1
  <=> ! [X1: $i,X2: $o,X3: $i] :
        ( ( in @ X3 @ X1 )
       => ! [X4: $i] :
            ( ( in @ X4 @ X1 )
           => ( ~ X2
             => ( in @ X4
                @ ( dsetconstr @ X1
                  @ ^ [X5: $i] :
                      ( ( X2
                        & ( X5 = X3 ) )
                      | ( ~ X2
                        & ( X5 = X4 ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lmZSZCcP4S/E---3.1_1345363.p',iffalseProp1) ).

thf(ifSingleton,axiom,
    ( ifSingleton
  <=> ! [X1: $i,X2: $o,X3: $i] :
        ( ( in @ X3 @ X1 )
       => ! [X4: $i] :
            ( ( in @ X4 @ X1 )
           => ( singleton
              @ ( dsetconstr @ X1
                @ ^ [X5: $i] :
                    ( ( X2
                      & ( X5 = X3 ) )
                    | ( ~ X2
                      & ( X5 = X4 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lmZSZCcP4S/E---3.1_1345363.p',ifSingleton) ).

thf(theeq,axiom,
    ( theeq
  <=> ! [X6: $i] :
        ( ( singleton @ X6 )
       => ! [X3: $i] :
            ( ( in @ X3 @ X6 )
           => ( ( setunion @ X6 )
              = X3 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lmZSZCcP4S/E---3.1_1345363.p',theeq) ).

thf(if,axiom,
    ( if
    = ( ^ [X1: $i,X2: $o,X3: $i,X4: $i] :
          ( setunion
          @ ( dsetconstr @ X1
            @ ^ [X5: $i] :
                ( ( X2
                  & ( X5 = X3 ) )
                | ( ~ X2
                  & ( X5 = X4 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lmZSZCcP4S/E---3.1_1345363.p',if) ).

thf(c_0_5,negated_conjecture,
    ~ ( iffalseProp1
     => ( ifSingleton
       => ( theeq
         => ! [X1: $i,X2: $o,X3: $i] :
              ( ( in @ X3 @ X1 )
             => ! [X4: $i] :
                  ( ( in @ X4 @ X1 )
                 => ( ~ X2
                   => ( ( if @ X1 @ X2 @ X3 @ X4 )
                      = X4 ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[iffalse]) ).

thf(c_0_6,plain,
    ( iffalseProp1
  <=> ! [X1: $i,X2: $o,X3: $i] :
        ( ( in @ X3 @ X1 )
       => ! [X4: $i] :
            ( ( in @ X4 @ X1 )
           => ( ~ X2
             => ( in @ X4
                @ ( dsetconstr @ X1
                  @ ^ [Z0: $i] :
                      ( ( X2
                        & ( Z0 = X3 ) )
                      | ( ~ X2
                        & ( Z0 = X4 ) ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[iffalseProp1]) ).

thf(c_0_7,plain,
    ( ifSingleton
  <=> ! [X1: $i,X2: $o,X3: $i] :
        ( ( in @ X3 @ X1 )
       => ! [X4: $i] :
            ( ( in @ X4 @ X1 )
           => ( singleton
              @ ( dsetconstr @ X1
                @ ^ [Z0: $i] :
                    ( ( X2
                      & ( Z0 = X3 ) )
                    | ( ~ X2
                      & ( Z0 = X4 ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[ifSingleton]) ).

thf(c_0_8,negated_conjecture,
    ~ ( ! [X21: $i,X22: $o,X23: $i] :
          ( ( in @ X23 @ X21 )
         => ! [X24: $i] :
              ( ( in @ X24 @ X21 )
             => ( ~ X22
               => ( in @ X24
                  @ ( dsetconstr @ X21
                    @ ^ [Z0: $i] :
                        ( ( X22
                          & ( Z0 = X23 ) )
                        | ( ~ X22
                          & ( Z0 = X24 ) ) ) ) ) ) ) )
     => ( ! [X25: $i,X26: $o,X27: $i] :
            ( ( in @ X27 @ X25 )
           => ! [X28: $i] :
                ( ( in @ X28 @ X25 )
               => ( singleton
                  @ ( dsetconstr @ X25
                    @ ^ [Z0: $i] :
                        ( ( X26
                          & ( Z0 = X27 ) )
                        | ( ~ X26
                          & ( Z0 = X28 ) ) ) ) ) ) )
       => ( ! [X29: $i] :
              ( ( singleton @ X29 )
             => ! [X30: $i] :
                  ( ( in @ X30 @ X29 )
                 => ( ( setunion @ X29 )
                    = X30 ) ) )
         => ! [X1: $i,X2: $o,X3: $i] :
              ( ( in @ X3 @ X1 )
             => ! [X4: $i] :
                  ( ( in @ X4 @ X1 )
                 => ( ~ X2
                   => ( ( if @ X1 @ X2 @ X3 @ X4 )
                      = X4 ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5,c_0_6]),c_0_7]),theeq])]) ).

thf(c_0_9,plain,
    ( if
    = ( ^ [Z0: $i,Z1: $o,Z2: $i,Z3: $i] :
          ( setunion
          @ ( dsetconstr @ Z0
            @ ^ [Z4: $i] :
                ( ( Z1
                  & ( Z4 = Z2 ) )
                | ( ~ Z1
                  & Z4 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[if]) ).

thf(c_0_10,negated_conjecture,
    ! [X31: $i,X32: $o,X33: $i,X34: $i,X35: $i,X36: $o,X37: $i,X38: $i,X39: $i,X40: $i] :
      ( ( ~ ( in @ X33 @ X31 )
        | ~ ( in @ X34 @ X31 )
        | X32
        | ( in @ X34
          @ ( dsetconstr @ X31
            @ ^ [Z0: $i] :
                ( ( X32
                  & ( Z0 = X33 ) )
                | ( ~ X32
                  & ( Z0 = X34 ) ) ) ) ) )
      & ( ~ ( in @ X37 @ X35 )
        | ~ ( in @ X38 @ X35 )
        | ( singleton
          @ ( dsetconstr @ X35
            @ ^ [Z0: $i] :
                ( ( X36
                  & ( Z0 = X37 ) )
                | ( ~ X36
                  & ( Z0 = X38 ) ) ) ) ) )
      & ( ~ ( singleton @ X39 )
        | ~ ( in @ X40 @ X39 )
        | ( ( setunion @ X39 )
          = X40 ) )
      & ( in @ esk2_0 @ esk1_0 )
      & ( in @ esk3_0 @ esk1_0 )
      & ~ epred1_0
      & ( ~ epred1_0
        | epred1_0 )
      & ( ( ( if @ esk1_0 @ $false @ esk2_0 @ esk3_0 )
         != esk3_0 )
        | epred1_0 )
      & ( ~ epred1_0
        | ( ( if @ esk1_0 @ $true @ esk2_0 @ esk3_0 )
         != esk3_0 ) )
      & ( ( ( if @ esk1_0 @ $false @ esk2_0 @ esk3_0 )
         != esk3_0 )
        | ( ( if @ esk1_0 @ $true @ esk2_0 @ esk3_0 )
         != esk3_0 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[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_11,plain,
    ( if
    = ( ^ [Z0: $i,Z1: $o,Z2: $i,Z3: $i] :
          ( setunion
          @ ( dsetconstr @ Z0
            @ ^ [Z4: $i] :
                ( ( Z1
                  & ( Z4 = Z2 ) )
                | ( ~ Z1
                  & Z4 ) ) ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_12,negated_conjecture,
    ( epred1_0
    | ( ( if @ esk1_0 @ ~ $true @ esk2_0 @ esk3_0 )
     != esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_13,negated_conjecture,
    ~ epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_14,plain,
    ! [X1: $i,X2: $o,X3: $i,X4: $i] :
      ( ( setunion
        @ ( dsetconstr @ X1
          @ ^ [Z0: $i] :
              ( ( X2
                & ( Z0 = X3 ) )
              | ( ~ X2
                & ( Z0 = X4 ) ) ) ) )
      = ( if @ X1 @ X2 @ X3 @ X4 ) ),
    inference(arg_cong,[status(thm)],[c_0_11]) ).

thf(c_0_15,negated_conjecture,
    ( ( if @ esk1_0 @ ~ $true @ esk2_0 @ esk3_0 )
   != esk3_0 ),
    inference(sr,[status(thm)],[c_0_12,c_0_13]) ).

thf(c_0_16,plain,
    ! [X1: $i,X2: $o,X3: $i,X8: $o,X6: $i,X5: $i,X4: $i] :
      ( ( ( if @ X1 @ X2 @ X3 @ X4 )
        = ( if @ X1 @ X8 @ X5 @ X6 ) )
      | ( ( ^ [Z0: $i] :
              ( ( X8
                & ( Z0 = X5 ) )
              | ( ~ X8
                & ( Z0 = X6 ) ) ) )
       != ( ^ [Z0: $i] :
              ( ( X2
                & ( Z0 = X3 ) )
              | ( ~ X2
                & ( Z0 = X4 ) ) ) ) ) ),
    inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_14,c_0_14])]) ).

thf(c_0_17,negated_conjecture,
    ! [X1: $i,X2: $o,X3: $i] :
      ( ( ( ^ [Z0: $i] : ( Z0 = esk3_0 ) )
       != ( ^ [Z0: $i] :
              ( ( X2
                & ( Z0 = X1 ) )
              | ( ~ X2
                & ( Z0 = X3 ) ) ) ) )
      | ( ( if @ esk1_0 @ X2 @ X1 @ X3 )
       != esk3_0 ) ),
    inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16])]) ).

thf(c_0_18,negated_conjecture,
    ! [X1: $i,X2: $o,X3: $i] :
      ( ( ( ( X2
            & ( ( esk3_3 @ X2 @ X3 @ X1 )
              = X1 ) )
          | ( ~ X2
            & ( ( esk3_3 @ X2 @ X3 @ X1 )
              = X3 ) ) )
      <~> ( ( esk3_3 @ X2 @ X3 @ X1 )
          = esk3_0 ) )
      | ( ( if @ esk1_0 @ X2 @ X1 @ X3 )
       != esk3_0 ) ),
    inference(neg_ext,[status(thm)],[c_0_17]) ).

thf(c_0_19,negated_conjecture,
    ! [X3: $i,X1: $i] :
      ( ( ( setunion @ X1 )
        = X3 )
      | ~ ( singleton @ X1 )
      | ~ ( in @ X3 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_20,negated_conjecture,
    ! [X2: $o,X1: $i,X4: $i,X3: $i] :
      ( ( singleton
        @ ( dsetconstr @ X3
          @ ^ [Z0: $i] :
              ( ( X2
                & ( Z0 = X1 ) )
              | ( ~ X2
                & ( Z0 = X4 ) ) ) ) )
      | ~ ( in @ X1 @ X3 )
      | ~ ( in @ X4 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_21,negated_conjecture,
    ! [X1: $i,X4: $i,X3: $i] :
      ( ( in @ X4
        @ ( dsetconstr @ X3
          @ ^ [Z0: $i] :
              ( ( ~ $true
                & ( Z0 = X1 ) )
              | ( ~ ~ $true
                & ( Z0 = X4 ) ) ) ) )
      | ~ ( in @ X1 @ X3 )
      | ~ ( in @ X4 @ X3 ) ),
    inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_10])])]) ).

thf(c_0_22,negated_conjecture,
    ! [X3: $i,X1: $i] :
      ( ( ( esk3_3 @ ~ $true @ X1 @ X3 )
        = esk3_0 )
      | ( ( esk3_3 @ ~ $true @ X1 @ X3 )
        = X1 )
      | ( ( if @ esk1_0 @ ~ $true @ X3 @ X1 )
       != esk3_0 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_18]) ).

thf(c_0_23,negated_conjecture,
    ! [X2: $o,X5: $i,X4: $i,X3: $i,X1: $i] :
      ( ( ( setunion
          @ ( dsetconstr @ X1
            @ ^ [Z0: $i] :
                ( ( X2
                  & ( Z0 = X3 ) )
                | ( ~ X2
                  & ( Z0 = X4 ) ) ) ) )
        = X5 )
      | ~ ( in @ X5
          @ ( dsetconstr @ X1
            @ ^ [Z0: $i] :
                ( ( X2
                  & ( Z0 = X3 ) )
                | ( ~ X2
                  & ( Z0 = X4 ) ) ) ) )
      | ~ ( in @ X4 @ X1 )
      | ~ ( in @ X3 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

thf(c_0_24,negated_conjecture,
    ! [X1: $i,X4: $i,X3: $i] :
      ( ( in @ X1
        @ ( dsetconstr @ X3
          @ ^ [Z0: $i] : ( Z0 = X1 ) ) )
      | ~ ( in @ X1 @ X3 )
      | ~ ( in @ X4 @ X3 ) ),
    inference(cn,[status(thm)],[c_0_21]) ).

thf(c_0_25,negated_conjecture,
    in @ esk3_0 @ esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_26,negated_conjecture,
    ! [X1: $i] :
      ( ( ( esk3_3 @ ~ $true @ esk3_0 @ X1 )
        = esk3_0 )
      | ( ( if @ esk1_0 @ ~ $true @ X1 @ esk3_0 )
       != esk3_0 ) ),
    inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_22])]) ).

thf(c_0_27,negated_conjecture,
    ! [X1: $i,X2: $o,X5: $i,X4: $i,X3: $i] :
      ( ( X1
        = ( if @ X3 @ X2 @ X4 @ X5 ) )
      | ~ ( in @ X1
          @ ( dsetconstr @ X3
            @ ^ [Z0: $i] :
                ( ( X2
                  & ( Z0 = X4 ) )
                | ( ~ X2
                  & ( Z0 = X5 ) ) ) ) )
      | ~ ( in @ X5 @ X3 )
      | ~ ( in @ X4 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_14,c_0_23]) ).

thf(c_0_28,negated_conjecture,
    ! [X1: $i] :
      ( ( in @ esk3_0
        @ ( dsetconstr @ esk1_0
          @ ^ [Z0: $i] : ( Z0 = esk3_0 ) ) )
      | ~ ( in @ X1 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

thf(c_0_29,negated_conjecture,
    ! [X1: $i,X3: $i] :
      ( ( ( if @ esk1_0 @ ~ $true @ X1 @ X3 )
       != esk3_0 )
      | ( ( esk3_3 @ ~ $true @ X3 @ X1 )
       != esk3_0 )
      | ( ( esk3_3 @ ~ $true @ X3 @ X1 )
       != X3 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_18]) ).

thf(c_0_30,negated_conjecture,
    ! [X1: $i] :
      ( ( ( esk3_3 @ ~ $true @ esk3_0 @ X1 )
        = esk3_0 )
      | ~ ( in @ esk3_0
          @ ( dsetconstr @ esk1_0
            @ ^ [Z0: $i] : ( Z0 = esk3_0 ) ) )
      | ~ ( in @ X1 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_25])])])]) ).

thf(c_0_31,negated_conjecture,
    ( in @ esk3_0
    @ ( dsetconstr @ esk1_0
      @ ^ [Z0: $i] : ( Z0 = esk3_0 ) ) ),
    inference(spm,[status(thm)],[c_0_28,c_0_25]) ).

thf(c_0_32,negated_conjecture,
    ! [X1: $i,X3: $i] :
      ( ( ( esk3_3 @ ~ $true @ X1 @ X3 )
       != esk3_0 )
      | ( ( esk3_3 @ ~ $true @ X1 @ X3 )
       != X1 )
      | ~ ( in @ esk3_0
          @ ( dsetconstr @ esk1_0
            @ ^ [Z0: $i] : ( Z0 = X1 ) ) )
      | ~ ( in @ X1 @ esk1_0 )
      | ~ ( in @ X3 @ esk1_0 ) ),
    inference(cn,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_27])])]) ).

thf(c_0_33,negated_conjecture,
    ! [X1: $i] :
      ( ( ( esk3_3 @ ~ $true @ esk3_0 @ X1 )
        = esk3_0 )
      | ~ ( in @ X1 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

thf(c_0_34,negated_conjecture,
    in @ esk2_0 @ esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_35,negated_conjecture,
    ! [X1: $i] :
      ~ ( in @ X1 @ esk1_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_31]),c_0_25])]),c_0_33]) ).

thf(c_0_36,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_34,c_0_35]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU708^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n004.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 14:12:51 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21  Running higher-order theorem proving
% 0.07/0.23  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.lmZSZCcP4S/E---3.1_1345363.p
% 0.20/0.28  % Version: 3.5.1-ho
% 0.20/0.28  % Preprocessing class: HSSSSLSSSLMNSFN.
% 0.20/0.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.28  % Starting ho_unfolding_6 with 1500s (5) cores
% 0.20/0.28  % Starting pre_casc_5 with 300s (1) cores
% 0.20/0.28  % Starting sh4l with 300s (1) cores
% 0.20/0.28  % Starting full_lambda_3 with 300s (1) cores
% 0.20/0.28  % ho_unfolding_6 with pid 1345376 completed with status 0
% 0.20/0.28  % Result found by ho_unfolding_6
% 0.20/0.28  % Preprocessing class: HSSSSLSSSLMNSFN.
% 0.20/0.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.28  % Starting ho_unfolding_6 with 1500s (5) cores
% 0.20/0.28  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.28  % No SInE strategy applied
% 0.20/0.28  % Search class: HHHSF-FFSS32-DSFFMFBN
% 0.20/0.28  % partial match(3): HHUSF-FFSS32-SSFFMSBN
% 0.20/0.28  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.28  % Starting SubtermCWHack with 151s (1) cores
% 0.20/0.28  % Starting new_ho_10 with 901s (1) cores
% 0.20/0.28  % Starting full_lambda_3 with 151s (1) cores
% 0.20/0.28  % Starting ho_unfolding_6 with 151s (1) cores
% 0.20/0.28  % Starting sh4l with 146s (1) cores
% 0.20/0.28  % new_ho_10 with pid 1345382 completed with status 10
% 0.20/0.28  % full_lambda_3 with pid 1345385 completed with status 0
% 0.20/0.28  % Result found by full_lambda_3
% 0.20/0.28  % Preprocessing class: HSSSSLSSSLMNSFN.
% 0.20/0.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.28  % Starting ho_unfolding_6 with 1500s (5) cores
% 0.20/0.28  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.28  % No SInE strategy applied
% 0.20/0.28  % Search class: HHHSF-FFSS32-DSFFMFBN
% 0.20/0.28  % partial match(3): HHUSF-FFSS32-SSFFMSBN
% 0.20/0.28  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.28  % Starting SubtermCWHack with 151s (1) cores
% 0.20/0.28  % Starting new_ho_10 with 901s (1) cores
% 0.20/0.28  % Starting full_lambda_3 with 151s (1) cores
% 0.20/0.28  % Preprocessing time       : 0.001 s
% 0.20/0.28  
% 0.20/0.28  % Proof found!
% 0.20/0.28  % SZS status Theorem
% 0.20/0.28  % SZS output start CNFRefutation
% See solution above
% 0.20/0.28  % Parsed axioms                        : 13
% 0.20/0.28  % Removed by relevancy pruning/SinE    : 0
% 0.20/0.28  % Initial clauses                      : 19
% 0.20/0.28  % Removed in clause preprocessing      : 9
% 0.20/0.28  % Initial clauses in saturation        : 10
% 0.20/0.28  % Processed clauses                    : 94
% 0.20/0.28  % ...of these trivial                  : 0
% 0.20/0.28  % ...subsumed                          : 16
% 0.20/0.28  % ...remaining for further processing  : 78
% 0.20/0.28  % Other redundant clauses eliminated   : 21
% 0.20/0.28  % Clauses deleted for lack of memory   : 0
% 0.20/0.28  % Backward-subsumed                    : 18
% 0.20/0.28  % Backward-rewritten                   : 0
% 0.20/0.28  % Generated clauses                    : 377
% 0.20/0.28  % ...of the previous two non-redundant : 352
% 0.20/0.28  % ...aggressively subsumed             : 0
% 0.20/0.28  % Contextual simplify-reflections      : 2
% 0.20/0.28  % Paramodulations                      : 330
% 0.20/0.28  % Factorizations                       : 4
% 0.20/0.28  % NegExts                              : 2
% 0.20/0.28  % Equation resolutions                 : 22
% 0.20/0.28  % Disequality decompositions           : 0
% 0.20/0.28  % Total rewrite steps                  : 5
% 0.20/0.28  % ...of those cached                   : 0
% 0.20/0.28  % Propositional unsat checks           : 0
% 0.20/0.28  %    Propositional check models        : 0
% 0.20/0.28  %    Propositional check unsatisfiable : 0
% 0.20/0.28  %    Propositional clauses             : 0
% 0.20/0.28  %    Propositional clauses after purity: 0
% 0.20/0.28  %    Propositional unsat core size     : 0
% 0.20/0.28  %    Propositional preprocessing time  : 0.000
% 0.20/0.28  %    Propositional encoding time       : 0.000
% 0.20/0.28  %    Propositional solver time         : 0.000
% 0.20/0.28  %    Success case prop preproc time    : 0.000
% 0.20/0.28  %    Success case prop encoding time   : 0.000
% 0.20/0.28  %    Success case prop solver time     : 0.000
% 0.20/0.28  % Current number of processed clauses  : 57
% 0.20/0.28  %    Positive orientable unit clauses  : 13
% 0.20/0.28  %    Positive unorientable unit clauses: 4
% 0.20/0.28  %    Negative unit clauses             : 4
% 0.20/0.28  %    Non-unit-clauses                  : 36
% 0.20/0.28  % Current number of unprocessed clauses: 266
% 0.20/0.28  % ...number of literals in the above   : 1352
% 0.20/0.28  % Current number of archived formulas  : 0
% 0.20/0.28  % Current number of archived clauses   : 21
% 0.20/0.28  % Clause-clause subsumption calls (NU) : 426
% 0.20/0.28  % Rec. Clause-clause subsumption calls : 125
% 0.20/0.28  % Non-unit clause-clause subsumptions  : 11
% 0.20/0.28  % Unit Clause-clause subsumption calls : 86
% 0.20/0.28  % Rewrite failures with RHS unbound    : 0
% 0.20/0.28  % BW rewrite match attempts            : 36
% 0.20/0.28  % BW rewrite match successes           : 9
% 0.20/0.28  % Condensation attempts                : 94
% 0.20/0.28  % Condensation successes               : 0
% 0.20/0.28  % Termbank termtop insertions          : 42546
% 0.20/0.28  % Search garbage collected termcells   : 460
% 0.20/0.28  
% 0.20/0.28  % -------------------------------------------------
% 0.20/0.28  % User time                : 0.032 s
% 0.20/0.28  % System time              : 0.006 s
% 0.20/0.28  % Total time               : 0.039 s
% 0.20/0.28  % Maximum resident set size: 3640 pages
% 0.20/0.28  
% 0.20/0.28  % -------------------------------------------------
% 0.20/0.28  % User time                : 0.114 s
% 0.20/0.28  % System time              : 0.017 s
% 0.20/0.28  % Total time               : 0.130 s
% 0.20/0.28  % Maximum resident set size: 4864 pages
% 0.20/0.28  % E exiting
%------------------------------------------------------------------------------