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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU768^2 : 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 : n011.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 08:25:33 AM UTC 2026

% Result   : Theorem 0.08s 0.25s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   31 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :  119 (   6 equ;   0 cnn)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  603 (  46   ~;  60   |;   7   &; 450   @)
%                                         (   1 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   5 con; 0-4 aty)
%            Number of variables   :  111 (  12   ^;  99   !;   0   ?; 111   :)

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

thf(decl_24,type,
    subset: $i > $i > $o ).

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

thf(decl_26,type,
    cartprod: $i > $i > $i ).

thf(decl_27,type,
    breln: $i > $i > $i > $o ).

thf(decl_28,type,
    brelnall2: $o ).

thf(decl_29,type,
    breln1: $i > $i > $o ).

thf(decl_30,type,
    esk1_4: $i > $i > $i > ( $i > $o ) > $i ).

thf(decl_31,type,
    esk2_4: $i > $i > $i > ( $i > $o ) > $i ).

thf(decl_32,type,
    esk3_0: $i ).

thf(decl_33,type,
    esk4_0: $i ).

thf(decl_34,type,
    epred1_0: $i > $o ).

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

thf(breln1,axiom,
    ( breln1
    = ( ^ [X1: $i,X4: $i] : ( breln @ X1 @ X1 @ X4 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TuqqTIw98v/E---3.1_160604.p',breln1) ).

thf(breln,axiom,
    ( breln
    = ( ^ [X1: $i,X2: $i,X3: $i] : ( subset @ X3 @ ( cartprod @ X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TuqqTIw98v/E---3.1_160604.p',breln) ).

thf(breln1all2,conjecture,
    ( brelnall2
   => ! [X1: $i,X4: $i] :
        ( ( breln1 @ X1 @ X4 )
       => ! [X5: $i > $o] :
            ( ! [X6: $i] :
                ( ( in @ X6 @ X1 )
               => ! [X7: $i] :
                    ( ( in @ X7 @ X1 )
                   => ( ( in @ ( kpair @ X6 @ X7 ) @ X4 )
                     => ( X5 @ ( kpair @ X6 @ X7 ) ) ) ) )
           => ! [X6: $i] :
                ( ( in @ X6 @ X4 )
               => ( X5 @ X6 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TuqqTIw98v/E---3.1_160604.p',breln1all2) ).

thf(brelnall2,axiom,
    ( brelnall2
  <=> ! [X1: $i,X2: $i,X4: $i] :
        ( ( breln @ X1 @ X2 @ X4 )
       => ! [X5: $i > $o] :
            ( ! [X6: $i] :
                ( ( in @ X6 @ X1 )
               => ! [X7: $i] :
                    ( ( in @ X7 @ X2 )
                   => ( ( in @ ( kpair @ X6 @ X7 ) @ X4 )
                     => ( X5 @ ( kpair @ X6 @ X7 ) ) ) ) )
           => ! [X6: $i] :
                ( ( in @ X6 @ X4 )
               => ( X5 @ X6 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TuqqTIw98v/E---3.1_160604.p',brelnall2) ).

thf(c_0_4,plain,
    ( breln1
    = ( ^ [Z0: $i,Z1: $i] : ( subset @ Z1 @ ( cartprod @ Z0 @ Z0 ) ) ) ),
    inference(fof_simplification,[status(thm)],[breln1]) ).

thf(c_0_5,plain,
    ( breln
    = ( ^ [Z0: $i,Z1: $i,Z2: $i] : ( subset @ Z2 @ ( cartprod @ Z0 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[breln]) ).

thf(c_0_6,negated_conjecture,
    ~ ( brelnall2
     => ! [X1: $i,X4: $i] :
          ( ( breln1 @ X1 @ X4 )
         => ! [X5: $i > $o] :
              ( ! [X6: $i] :
                  ( ( in @ X6 @ X1 )
                 => ! [X7: $i] :
                      ( ( in @ X7 @ X1 )
                     => ( ( in @ ( kpair @ X6 @ X7 ) @ X4 )
                       => ( X5 @ ( kpair @ X6 @ X7 ) ) ) ) )
             => ! [X6: $i] :
                  ( ( in @ X6 @ X4 )
                 => ( X5 @ X6 ) ) ) ) ),
    inference(assume_negation,[status(cth)],[breln1all2]) ).

thf(c_0_7,plain,
    ( breln1
    = ( ^ [Z0: $i,Z1: $i] : ( subset @ Z1 @ ( cartprod @ Z0 @ Z0 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_4,c_0_5]) ).

thf(c_0_8,axiom,
    ( brelnall2
    = ( ! [X1: $i,X2: $i,X4: $i] :
          ( ( subset @ X4 @ ( cartprod @ X1 @ X2 ) )
         => ! [X5: $i > $o] :
              ( ! [X6: $i] :
                  ( ( in @ X6 @ X1 )
                 => ! [X7: $i] :
                      ( ( in @ X7 @ X2 )
                     => ( ( in @ ( kpair @ X6 @ X7 ) @ X4 )
                       => ( X5 @ ( kpair @ X6 @ X7 ) ) ) ) )
             => ! [X6: $i] :
                  ( ( in @ X6 @ X4 )
                 => ( X5 @ X6 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[brelnall2,c_0_5]) ).

thf(c_0_9,negated_conjecture,
    ~ ( ! [X21: $i,X22: $i,X23: $i] :
          ( ( subset @ X23 @ ( cartprod @ X21 @ X22 ) )
         => ! [X24: $i > $o] :
              ( ! [X25: $i] :
                  ( ( in @ X25 @ X21 )
                 => ! [X26: $i] :
                      ( ( in @ X26 @ X22 )
                     => ( ( in @ ( kpair @ X25 @ X26 ) @ X23 )
                       => ( X24 @ ( kpair @ X25 @ X26 ) ) ) ) )
             => ! [X27: $i] :
                  ( ( in @ X27 @ X23 )
                 => ( X24 @ X27 ) ) ) )
     => ! [X1: $i,X4: $i] :
          ( ( subset @ X4 @ ( cartprod @ X1 @ X1 ) )
         => ! [X5: $i > $o] :
              ( ! [X6: $i] :
                  ( ( in @ X6 @ X1 )
                 => ! [X7: $i] :
                      ( ( in @ X7 @ X1 )
                     => ( ( in @ ( kpair @ X6 @ X7 ) @ X4 )
                       => ( X5 @ ( kpair @ X6 @ X7 ) ) ) ) )
             => ! [X6: $i] :
                  ( ( in @ X6 @ X4 )
                 => ( X5 @ X6 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).

thf(c_0_10,negated_conjecture,
    ! [X28: $i,X29: $i,X30: $i,X31: $i > $o,X34: $i,X38: $i,X39: $i] :
      ( ( ( in @ ( esk1_4 @ X28 @ X29 @ X30 @ X31 ) @ X28 )
        | ~ ( in @ X34 @ X30 )
        | ( X31 @ X34 )
        | ~ ( subset @ X30 @ ( cartprod @ X28 @ X29 ) ) )
      & ( ( in @ ( esk2_4 @ X28 @ X29 @ X30 @ X31 ) @ X29 )
        | ~ ( in @ X34 @ X30 )
        | ( X31 @ X34 )
        | ~ ( subset @ X30 @ ( cartprod @ X28 @ X29 ) ) )
      & ( ( in @ ( kpair @ ( esk1_4 @ X28 @ X29 @ X30 @ X31 ) @ ( esk2_4 @ X28 @ X29 @ X30 @ X31 ) ) @ X30 )
        | ~ ( in @ X34 @ X30 )
        | ( X31 @ X34 )
        | ~ ( subset @ X30 @ ( cartprod @ X28 @ X29 ) ) )
      & ( ~ ( X31 @ ( kpair @ ( esk1_4 @ X28 @ X29 @ X30 @ X31 ) @ ( esk2_4 @ X28 @ X29 @ X30 @ X31 ) ) )
        | ~ ( in @ X34 @ X30 )
        | ( X31 @ X34 )
        | ~ ( subset @ X30 @ ( cartprod @ X28 @ X29 ) ) )
      & ( subset @ esk4_0 @ ( cartprod @ esk3_0 @ esk3_0 ) )
      & ( ~ ( in @ X38 @ esk3_0 )
        | ~ ( in @ X39 @ esk3_0 )
        | ~ ( in @ ( kpair @ X38 @ X39 ) @ esk4_0 )
        | ( epred1_0 @ ( kpair @ X38 @ X39 ) ) )
      & ( in @ esk5_0 @ esk4_0 )
      & ~ ( epred1_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_9])])])])])]) ).

thf(c_0_11,negated_conjecture,
    ! [X1: $i,X5: $i > $o,X4: $i,X3: $i,X2: $i] :
      ( ( in @ ( kpair @ ( esk1_4 @ X1 @ X2 @ X3 @ X5 ) @ ( esk2_4 @ X1 @ X2 @ X3 @ X5 ) ) @ X3 )
      | ( X5 @ X4 )
      | ~ ( in @ X4 @ X3 )
      | ~ ( subset @ X3 @ ( cartprod @ X1 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_12,negated_conjecture,
    in @ esk5_0 @ esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_13,negated_conjecture,
    ! [X1: $i,X5: $i > $o,X4: $i,X3: $i,X2: $i] :
      ( ( in @ ( esk2_4 @ X1 @ X2 @ X3 @ X5 ) @ X2 )
      | ( X5 @ X4 )
      | ~ ( in @ X4 @ X3 )
      | ~ ( subset @ X3 @ ( cartprod @ X1 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_14,negated_conjecture,
    ! [X1: $i,X5: $i > $o,X2: $i] :
      ( ( in @ ( kpair @ ( esk1_4 @ X1 @ X2 @ esk4_0 @ X5 ) @ ( esk2_4 @ X1 @ X2 @ esk4_0 @ X5 ) ) @ esk4_0 )
      | ( X5 @ esk5_0 )
      | ~ ( subset @ esk4_0 @ ( cartprod @ X1 @ X2 ) ) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_15,negated_conjecture,
    ! [X1: $i,X10: $i > $o,X5: $i > $o,X4: $i,X3: $i,X2: $i] :
      ( ( X5 @ ( kpair @ ( esk1_4 @ X1 @ X2 @ esk4_0 @ X10 ) @ ( esk2_4 @ X1 @ X2 @ esk4_0 @ X10 ) ) )
      | ( in @ ( esk2_4 @ X3 @ X4 @ esk4_0 @ X5 ) @ X4 )
      | ( X10 @ esk5_0 )
      | ~ ( subset @ esk4_0 @ ( cartprod @ X3 @ X4 ) )
      | ~ ( subset @ esk4_0 @ ( cartprod @ X1 @ X2 ) ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

thf(c_0_16,negated_conjecture,
    subset @ esk4_0 @ ( cartprod @ esk3_0 @ esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_17,negated_conjecture,
    ! [X1: $i,X5: $i > $o,X4: $i,X3: $i,X2: $i] :
      ( ( X5 @ X4 )
      | ~ ( X5 @ ( kpair @ ( esk1_4 @ X1 @ X2 @ X3 @ X5 ) @ ( esk2_4 @ X1 @ X2 @ X3 @ X5 ) ) )
      | ~ ( in @ X4 @ X3 )
      | ~ ( subset @ X3 @ ( cartprod @ X1 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_18,negated_conjecture,
    ! [X1: $i,X10: $i > $o,X5: $i > $o,X2: $i] :
      ( ( X5 @ ( kpair @ ( esk1_4 @ X1 @ X2 @ esk4_0 @ X10 ) @ ( esk2_4 @ X1 @ X2 @ esk4_0 @ X10 ) ) )
      | ( in @ ( esk2_4 @ esk3_0 @ esk3_0 @ esk4_0 @ X5 ) @ esk3_0 )
      | ( X10 @ esk5_0 )
      | ~ ( subset @ esk4_0 @ ( cartprod @ X1 @ X2 ) ) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

thf(c_0_19,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( epred1_0 @ ( kpair @ X1 @ X2 ) )
      | ~ ( in @ X1 @ esk3_0 )
      | ~ ( in @ X2 @ esk3_0 )
      | ~ ( in @ ( kpair @ X1 @ X2 ) @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_20,negated_conjecture,
    ! [X5: $i > $o,X3: $i,X2: $i,X1: $i] :
      ( ( in @ ( esk2_4 @ esk3_0 @ esk3_0 @ esk4_0 @ X5 ) @ esk3_0 )
      | ( X5 @ esk5_0 )
      | ( X5 @ X1 )
      | ~ ( subset @ esk4_0 @ ( cartprod @ X2 @ X3 ) )
      | ~ ( in @ X1 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

thf(c_0_21,negated_conjecture,
    ! [X1: $i,X5: $i > $o,X2: $i] :
      ( ( epred1_0 @ ( kpair @ ( esk1_4 @ X1 @ X2 @ esk4_0 @ X5 ) @ ( esk2_4 @ X1 @ X2 @ esk4_0 @ X5 ) ) )
      | ( X5 @ esk5_0 )
      | ~ ( in @ ( esk2_4 @ X1 @ X2 @ esk4_0 @ X5 ) @ esk3_0 )
      | ~ ( in @ ( esk1_4 @ X1 @ X2 @ esk4_0 @ X5 ) @ esk3_0 )
      | ~ ( subset @ esk4_0 @ ( cartprod @ X1 @ X2 ) ) ),
    inference(spm,[status(thm)],[c_0_19,c_0_14]) ).

thf(c_0_22,negated_conjecture,
    ~ ( epred1_0 @ esk5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_23,negated_conjecture,
    ! [X5: $i > $o,X1: $i] :
      ( ( in @ ( esk2_4 @ esk3_0 @ esk3_0 @ esk4_0 @ X5 ) @ esk3_0 )
      | ( X5 @ esk5_0 )
      | ( X5 @ X1 )
      | ~ ( in @ X1 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_16]) ).

thf(c_0_24,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( epred1_0 @ X1 )
      | ~ ( in @ ( esk2_4 @ X2 @ X3 @ esk4_0 @ epred1_0 ) @ esk3_0 )
      | ~ ( in @ ( esk1_4 @ X2 @ X3 @ esk4_0 @ epred1_0 ) @ esk3_0 )
      | ~ ( subset @ esk4_0 @ ( cartprod @ X2 @ X3 ) )
      | ~ ( in @ X1 @ esk4_0 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_21]),c_0_22]) ).

thf(c_0_25,negated_conjecture,
    ! [X5: $i > $o] :
      ( ( in @ ( esk2_4 @ esk3_0 @ esk3_0 @ esk4_0 @ X5 ) @ esk3_0 )
      | ( X5 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_23,c_0_12]) ).

thf(c_0_26,negated_conjecture,
    ! [X1: $i,X5: $i > $o,X4: $i,X3: $i,X2: $i] :
      ( ( in @ ( esk1_4 @ X1 @ X2 @ X3 @ X5 ) @ X1 )
      | ( X5 @ X4 )
      | ~ ( in @ X4 @ X3 )
      | ~ ( subset @ X3 @ ( cartprod @ X1 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_27,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ X1 )
      | ~ ( in @ ( esk1_4 @ esk3_0 @ esk3_0 @ esk4_0 @ epred1_0 ) @ esk3_0 )
      | ~ ( in @ X1 @ esk4_0 ) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_16])]),c_0_22]) ).

thf(c_0_28,negated_conjecture,
    ! [X1: $i,X5: $i > $o,X2: $i] :
      ( ( in @ ( esk1_4 @ X1 @ X2 @ esk4_0 @ X5 ) @ X1 )
      | ( X5 @ esk5_0 )
      | ~ ( subset @ esk4_0 @ ( cartprod @ X1 @ X2 ) ) ),
    inference(spm,[status(thm)],[c_0_26,c_0_12]) ).

thf(c_0_29,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ X1 )
      | ~ ( in @ X1 @ esk4_0 ) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_16])]),c_0_22]) ).

thf(c_0_30,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_12]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU768^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.16  % Computer : n011.cluster.edu
% 0.08/0.16  % Model    : x86_64 x86_64
% 0.08/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16  % Memory   : 8046.5625MB
% 0.08/0.16  % OS       : Linux 6.8.0-71-generic
% 0.08/0.16  % CPULimit : 300
% 0.08/0.16  % WCLimit  : 300
% 0.08/0.16  % DateTime : Tue Sep 29 14:23:46 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.17  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21  Running higher-order theorem proving
% 0.08/0.22  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.TuqqTIw98v/E---3.1_160604.p
% 0.08/0.25  % Version: 3.5.1-ho
% 0.08/0.25  % Preprocessing class: HSSSSMSSSLSNSSA.
% 0.08/0.25  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25  % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.25  % Starting sh5l with 300s (1) cores
% 0.08/0.25  % Starting new_bool_1 with 300s (1) cores
% 0.08/0.25  % Starting new_bool_2 with 300s (1) cores
% 0.08/0.25  % sh5l with pid 160618 completed with status 0
% 0.08/0.25  % Result found by sh5l
% 0.08/0.25  % Preprocessing class: HSSSSMSSSLSNSSA.
% 0.08/0.25  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25  % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.25  % Starting sh5l with 300s (1) cores
% 0.08/0.25  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.08/0.25  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.08/0.25  % Search class: HGUNF-FFSF33-SSSFMMBN
% 0.08/0.25  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.25  % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.25  % SubtermCWHack with pid 160622 completed with status 0
% 0.08/0.25  % Result found by SubtermCWHack
% 0.08/0.25  % Preprocessing class: HSSSSMSSSLSNSSA.
% 0.08/0.25  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25  % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.25  % Starting sh5l with 300s (1) cores
% 0.08/0.25  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.08/0.25  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.08/0.25  % Search class: HGUNF-FFSF33-SSSFMMBN
% 0.08/0.25  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.25  % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.25  % Preprocessing time       : 0.001 s
% 0.08/0.25  
% 0.08/0.25  % Proof found!
% 0.08/0.25  % SZS status Theorem
% 0.08/0.25  % SZS output start CNFRefutation
% See solution above
% 0.08/0.25  % Parsed axioms                        : 11
% 0.08/0.25  % Removed by relevancy pruning/SinE    : 7
% 0.08/0.25  % Initial clauses                      : 8
% 0.08/0.25  % Removed in clause preprocessing      : 0
% 0.08/0.25  % Initial clauses in saturation        : 8
% 0.08/0.25  % Processed clauses                    : 48
% 0.08/0.25  % ...of these trivial                  : 0
% 0.08/0.25  % ...subsumed                          : 6
% 0.08/0.25  % ...remaining for further processing  : 42
% 0.08/0.25  % Other redundant clauses eliminated   : 0
% 0.08/0.25  % Clauses deleted for lack of memory   : 0
% 0.08/0.25  % Backward-subsumed                    : 8
% 0.08/0.25  % Backward-rewritten                   : 0
% 0.08/0.25  % Generated clauses                    : 75
% 0.08/0.25  % ...of the previous two non-redundant : 69
% 0.08/0.25  % ...aggressively subsumed             : 0
% 0.08/0.25  % Contextual simplify-reflections      : 0
% 0.08/0.25  % Paramodulations                      : 75
% 0.08/0.25  % Factorizations                       : 0
% 0.08/0.25  % NegExts                              : 0
% 0.08/0.25  % Equation resolutions                 : 0
% 0.08/0.25  % Disequality decompositions           : 0
% 0.08/0.25  % Total rewrite steps                  : 3
% 0.08/0.25  % ...of those cached                   : 2
% 0.08/0.25  % Propositional unsat checks           : 0
% 0.08/0.25  %    Propositional check models        : 0
% 0.08/0.25  %    Propositional check unsatisfiable : 0
% 0.08/0.25  %    Propositional clauses             : 0
% 0.08/0.25  %    Propositional clauses after purity: 0
% 0.08/0.25  %    Propositional unsat core size     : 0
% 0.08/0.25  %    Propositional preprocessing time  : 0.000
% 0.08/0.25  %    Propositional encoding time       : 0.000
% 0.08/0.25  %    Propositional solver time         : 0.000
% 0.08/0.25  %    Success case prop preproc time    : 0.000
% 0.08/0.25  %    Success case prop encoding time   : 0.000
% 0.08/0.25  %    Success case prop solver time     : 0.000
% 0.08/0.25  % Current number of processed clauses  : 34
% 0.08/0.25  %    Positive orientable unit clauses  : 2
% 0.08/0.25  %    Positive unorientable unit clauses: 0
% 0.08/0.25  %    Negative unit clauses             : 1
% 0.08/0.25  %    Non-unit-clauses                  : 31
% 0.08/0.25  % Current number of unprocessed clauses: 23
% 0.08/0.25  % ...number of literals in the above   : 113
% 0.08/0.25  % Current number of archived formulas  : 0
% 0.08/0.25  % Current number of archived clauses   : 8
% 0.08/0.25  % Clause-clause subsumption calls (NU) : 230
% 0.08/0.25  % Rec. Clause-clause subsumption calls : 62
% 0.08/0.25  % Non-unit clause-clause subsumptions  : 14
% 0.08/0.25  % Unit Clause-clause subsumption calls : 0
% 0.08/0.25  % Rewrite failures with RHS unbound    : 0
% 0.08/0.25  % BW rewrite match attempts            : 0
% 0.08/0.25  % BW rewrite match successes           : 0
% 0.08/0.25  % Condensation attempts                : 0
% 0.08/0.25  % Condensation successes               : 0
% 0.08/0.25  % Termbank termtop insertions          : 4061
% 0.08/0.25  % Search garbage collected termcells   : 428
% 0.08/0.25  
% 0.08/0.25  % -------------------------------------------------
% 0.08/0.25  % User time                : 0.008 s
% 0.08/0.25  % System time              : 0.000 s
% 0.08/0.25  % Total time               : 0.008 s
% 0.08/0.25  % Maximum resident set size: 3896 pages
% 0.08/0.25  
% 0.08/0.25  % -------------------------------------------------
% 0.08/0.25  % User time                : 0.012 s
% 0.08/0.25  % System time              : 0.003 s
% 0.08/0.25  % Total time               : 0.015 s
% 0.08/0.25  % Maximum resident set size: 4608 pages
% 0.08/0.25  % E exiting
%------------------------------------------------------------------------------