TSTP Solution File: SWC090+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWC090+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n011.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 Aug 22 11:01:06 EDT 2023

% Result   : Theorem 37.68s 22.50s
% Output   : CNFRefutation 37.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   86
% Syntax   : Number of formulae    :  142 (  34 unt;  77 typ;   0 def)
%            Number of atoms       :  154 (  34 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  162 (  73   ~;  61   |;   6   &)
%                                         (   2 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   85 (  68   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :   58 (  58 usr;   9 con; 0-2 aty)
%            Number of variables   :   46 (;  42   !;   4   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ segmentP > rearsegP > neq > memberP > lt > leq > gt > geq > frontsegP > totalorderedP > totalorderP > strictorderedP > strictorderP > ssList > ssItem > singletonP > equalelemsP > duplicatefreeP > cyclefreeP > cons > app > #nlpp > tl > hd > nil > #skF_36 > #skF_25 > #skF_5 > #skF_52 > #skF_44 > #skF_21 > #skF_16 > #skF_6 > #skF_49 > #skF_18 > #skF_24 > #skF_35 > #skF_19 > #skF_31 > #skF_22 > #skF_37 > #skF_40 > #skF_48 > #skF_3 > #skF_34 > #skF_29 > #skF_15 > #skF_32 > #skF_53 > #skF_51 > #skF_28 > #skF_10 > #skF_41 > #skF_2 > #skF_38 > #skF_43 > #skF_1 > #skF_8 > #skF_39 > #skF_23 > #skF_33 > #skF_26 > #skF_50 > #skF_13 > #skF_17 > #skF_11 > #skF_14 > #skF_27 > #skF_12 > #skF_7 > #skF_46 > #skF_42 > #skF_45 > #skF_9 > #skF_30 > #skF_4 > #skF_20 > #skF_47

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_36',type,
    '#skF_36': $i > $i ).

tff(segmentP,type,
    segmentP: ( $i * $i ) > $o ).

tff('#skF_25',type,
    '#skF_25': $i > $i ).

tff(totalorderedP,type,
    totalorderedP: $i > $o ).

tff('#skF_5',type,
    '#skF_5': $i > $i ).

tff(equalelemsP,type,
    equalelemsP: $i > $o ).

tff('#skF_52',type,
    '#skF_52': $i ).

tff('#skF_44',type,
    '#skF_44': $i > $i ).

tff('#skF_21',type,
    '#skF_21': $i > $i ).

tff('#skF_16',type,
    '#skF_16': $i > $i ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i ) > $i ).

tff('#skF_49',type,
    '#skF_49': $i ).

tff('#skF_18',type,
    '#skF_18': $i > $i ).

tff('#skF_24',type,
    '#skF_24': $i > $i ).

tff('#skF_35',type,
    '#skF_35': $i > $i ).

tff(singletonP,type,
    singletonP: $i > $o ).

tff('#skF_19',type,
    '#skF_19': $i > $i ).

tff('#skF_31',type,
    '#skF_31': $i > $i ).

tff('#skF_22',type,
    '#skF_22': $i > $i ).

tff(frontsegP,type,
    frontsegP: ( $i * $i ) > $o ).

tff('#skF_37',type,
    '#skF_37': $i > $i ).

tff(totalorderP,type,
    totalorderP: $i > $o ).

tff(ssItem,type,
    ssItem: $i > $o ).

tff('#skF_40',type,
    '#skF_40': $i > $i ).

tff('#skF_48',type,
    '#skF_48': $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

tff('#skF_34',type,
    '#skF_34': $i > $i ).

tff('#skF_29',type,
    '#skF_29': $i > $i ).

tff('#skF_15',type,
    '#skF_15': $i > $i ).

tff('#skF_32',type,
    '#skF_32': $i > $i ).

tff('#skF_53',type,
    '#skF_53': $i ).

tff('#skF_51',type,
    '#skF_51': $i ).

tff('#skF_28',type,
    '#skF_28': $i > $i ).

tff('#skF_10',type,
    '#skF_10': $i > $i ).

tff('#skF_41',type,
    '#skF_41': $i > $i ).

tff('#skF_2',type,
    '#skF_2': $i ).

tff('#skF_38',type,
    '#skF_38': $i > $i ).

tff('#skF_43',type,
    '#skF_43': $i > $i ).

tff(hd,type,
    hd: $i > $i ).

tff(app,type,
    app: ( $i * $i ) > $i ).

tff('#skF_1',type,
    '#skF_1': $i ).

tff('#skF_8',type,
    '#skF_8': ( $i * $i ) > $i ).

tff(duplicatefreeP,type,
    duplicatefreeP: $i > $o ).

tff(gt,type,
    gt: ( $i * $i ) > $o ).

tff('#skF_39',type,
    '#skF_39': $i > $i ).

tff('#skF_23',type,
    '#skF_23': $i > $i ).

tff(rearsegP,type,
    rearsegP: ( $i * $i ) > $o ).

tff('#skF_33',type,
    '#skF_33': $i > $i ).

tff(memberP,type,
    memberP: ( $i * $i ) > $o ).

tff('#skF_26',type,
    '#skF_26': $i > $i ).

tff('#skF_50',type,
    '#skF_50': $i ).

tff('#skF_13',type,
    '#skF_13': $i > $i ).

tff(ssList,type,
    ssList: $i > $o ).

tff(cons,type,
    cons: ( $i * $i ) > $i ).

tff(strictorderP,type,
    strictorderP: $i > $o ).

tff('#skF_17',type,
    '#skF_17': $i > $i ).

tff(geq,type,
    geq: ( $i * $i ) > $o ).

tff('#skF_11',type,
    '#skF_11': $i > $i ).

tff(leq,type,
    leq: ( $i * $i ) > $o ).

tff('#skF_14',type,
    '#skF_14': $i > $i ).

tff(lt,type,
    lt: ( $i * $i ) > $o ).

tff(tl,type,
    tl: $i > $i ).

tff(neq,type,
    neq: ( $i * $i ) > $o ).

tff('#skF_27',type,
    '#skF_27': $i > $i ).

tff('#skF_12',type,
    '#skF_12': $i > $i ).

tff('#skF_7',type,
    '#skF_7': ( $i * $i ) > $i ).

tff('#skF_46',type,
    '#skF_46': $i > $i ).

tff(nil,type,
    nil: $i ).

tff('#skF_42',type,
    '#skF_42': $i > $i ).

tff('#skF_45',type,
    '#skF_45': $i > $i ).

tff('#skF_9',type,
    '#skF_9': ( $i * $i ) > $i ).

tff(strictorderedP,type,
    strictorderedP: $i > $o ).

tff('#skF_30',type,
    '#skF_30': $i > $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i ) > $i ).

tff('#skF_20',type,
    '#skF_20': $i > $i ).

tff(cyclefreeP,type,
    cyclefreeP: $i > $o ).

tff('#skF_47',type,
    '#skF_47': $i > $i ).

tff(f_1018,negated_conjecture,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( ssList(X)
                   => ( ( V != X )
                      | ( U != W )
                      | ~ neq(V,nil)
                      | ? [Y] :
                          ( ssList(Y)
                          & neq(Y,nil)
                          & segmentP(V,Y)
                          & segmentP(U,Y) )
                      | ! [Z] :
                          ( ssList(Z)
                         => ! [X1] :
                              ( ssList(X1)
                             => ( ( app(Z,X1) != X )
                                | ( app(X1,Z) != W ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f_667,axiom,
    ! [U] :
      ( ssList(U)
     => segmentP(U,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).

tff(f_769,axiom,
    ! [U] :
      ( ssList(U)
     => ( ( nil != U )
       => ? [V] :
            ( ssItem(V)
            & ( hd(U) = V ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax75) ).

tff(f_413,axiom,
    ! [U] :
      ( ssList(U)
     => ( app(nil,U) = U ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).

tff(f_859,axiom,
    ! [U] :
      ( ssList(U)
     => ( app(U,nil) = U ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).

tff(f_319,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

tff(f_311,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ( neq(U,V)
          <=> ( U != V ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

tff(f_682,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ! [W] :
              ( ssList(W)
             => ! [X] :
                  ( ssList(X)
                 => ( segmentP(U,V)
                   => segmentP(app(app(W,U),X),V) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).

tff(f_135,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ( segmentP(U,V)
          <=> ? [W] :
                ( ssList(W)
                & ? [X] :
                    ( ssList(X)
                    & ( app(app(W,V),X) = U ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

tff(c_402,plain,
    ssList('#skF_50'),
    inference(cnfTransformation,[status(thm)],[f_1018]) ).

tff(c_270,plain,
    ! [U_1014] :
      ( segmentP(U_1014,U_1014)
      | ~ ssList(U_1014) ),
    inference(cnfTransformation,[status(thm)],[f_667]) ).

tff(c_384,plain,
    app('#skF_53','#skF_52') = '#skF_50',
    inference(cnfTransformation,[status(thm)],[f_1018]) ).

tff(c_388,plain,
    ssList('#skF_53'),
    inference(cnfTransformation,[status(thm)],[f_1018]) ).

tff(c_819,plain,
    ! [U_1261] :
      ( ( hd(U_1261) = '#skF_46'(U_1261) )
      | ( nil = U_1261 )
      | ~ ssList(U_1261) ),
    inference(cnfTransformation,[status(thm)],[f_769]) ).

tff(c_930,plain,
    ( ( hd('#skF_53') = '#skF_46'('#skF_53') )
    | ( nil = '#skF_53' ) ),
    inference(resolution,[status(thm)],[c_388,c_819]) ).

tff(c_1202,plain,
    nil = '#skF_53',
    inference(splitLeft,[status(thm)],[c_930]) ).

tff(c_390,plain,
    ssList('#skF_52'),
    inference(cnfTransformation,[status(thm)],[f_1018]) ).

tff(c_456,plain,
    ! [U_1208] :
      ( ( app(nil,U_1208) = U_1208 )
      | ~ ssList(U_1208) ),
    inference(cnfTransformation,[status(thm)],[f_413]) ).

tff(c_473,plain,
    app(nil,'#skF_52') = '#skF_52',
    inference(resolution,[status(thm)],[c_390,c_456]) ).

tff(c_1230,plain,
    app('#skF_53','#skF_52') = '#skF_52',
    inference(demodulation,[status(thm),theory(equality)],[c_1202,c_473]) ).

tff(c_1249,plain,
    '#skF_52' = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_1230]) ).

tff(c_386,plain,
    app('#skF_52','#skF_53') = '#skF_51',
    inference(cnfTransformation,[status(thm)],[f_1018]) ).

tff(c_498,plain,
    ! [U_1210] :
      ( ( app(U_1210,nil) = U_1210 )
      | ~ ssList(U_1210) ),
    inference(cnfTransformation,[status(thm)],[f_859]) ).

tff(c_516,plain,
    app('#skF_52',nil) = '#skF_52',
    inference(resolution,[status(thm)],[c_390,c_498]) ).

tff(c_1224,plain,
    app('#skF_52','#skF_53') = '#skF_52',
    inference(demodulation,[status(thm),theory(equality)],[c_1202,c_516]) ).

tff(c_1248,plain,
    '#skF_52' = '#skF_51',
    inference(demodulation,[status(thm),theory(equality)],[c_386,c_1224]) ).

tff(c_1264,plain,
    '#skF_51' = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_1249,c_1248]) ).

tff(c_400,plain,
    ssList('#skF_51'),
    inference(cnfTransformation,[status(thm)],[f_1018]) ).

tff(c_398,plain,
    '#skF_49' = '#skF_51',
    inference(cnfTransformation,[status(thm)],[f_1018]) ).

tff(c_394,plain,
    neq('#skF_49',nil),
    inference(cnfTransformation,[status(thm)],[f_1018]) ).

tff(c_411,plain,
    neq('#skF_51',nil),
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_394]) ).

tff(c_396,plain,
    '#skF_48' = '#skF_50',
    inference(cnfTransformation,[status(thm)],[f_1018]) ).

tff(c_392,plain,
    ! [Y_1193] :
      ( ~ segmentP('#skF_48',Y_1193)
      | ~ segmentP('#skF_49',Y_1193)
      | ~ neq(Y_1193,nil)
      | ~ ssList(Y_1193) ),
    inference(cnfTransformation,[status(thm)],[f_1018]) ).

tff(c_437,plain,
    ! [Y_1203] :
      ( ~ segmentP('#skF_50',Y_1203)
      | ~ segmentP('#skF_51',Y_1203)
      | ~ neq(Y_1203,nil)
      | ~ ssList(Y_1203) ),
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_396,c_392]) ).

tff(c_441,plain,
    ( ~ segmentP('#skF_50','#skF_51')
    | ~ neq('#skF_51',nil)
    | ~ ssList('#skF_51') ),
    inference(resolution,[status(thm)],[c_270,c_437]) ).

tff(c_444,plain,
    ~ segmentP('#skF_50','#skF_51'),
    inference(demodulation,[status(thm),theory(equality)],[c_400,c_411,c_441]) ).

tff(c_1271,plain,
    ~ segmentP('#skF_50','#skF_50'),
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_444]) ).

tff(c_1288,plain,
    ~ ssList('#skF_50'),
    inference(resolution,[status(thm)],[c_270,c_1271]) ).

tff(c_1292,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_402,c_1288]) ).

tff(c_1294,plain,
    nil != '#skF_53',
    inference(splitRight,[status(thm)],[c_930]) ).

tff(c_168,plain,
    ssList(nil),
    inference(cnfTransformation,[status(thm)],[f_319]) ).

tff(c_162,plain,
    ! [U_856,V_858] :
      ( neq(U_856,V_858)
      | ( V_858 = U_856 )
      | ~ ssList(V_858)
      | ~ ssList(U_856) ),
    inference(cnfTransformation,[status(thm)],[f_311]) ).

tff(c_518,plain,
    app('#skF_51',nil) = '#skF_51',
    inference(resolution,[status(thm)],[c_400,c_498]) ).

tff(c_77894,plain,
    ! [W_2888,U_2889,X_2890,V_2891] :
      ( segmentP(app(app(W_2888,U_2889),X_2890),V_2891)
      | ~ segmentP(U_2889,V_2891)
      | ~ ssList(X_2890)
      | ~ ssList(W_2888)
      | ~ ssList(V_2891)
      | ~ ssList(U_2889) ),
    inference(cnfTransformation,[status(thm)],[f_682]) ).

tff(c_78166,plain,
    ! [X_2890,V_2891] :
      ( segmentP(app('#skF_51',X_2890),V_2891)
      | ~ segmentP('#skF_53',V_2891)
      | ~ ssList(X_2890)
      | ~ ssList('#skF_52')
      | ~ ssList(V_2891)
      | ~ ssList('#skF_53') ),
    inference(superposition,[status(thm),theory(equality)],[c_386,c_77894]) ).

tff(c_78330,plain,
    ! [X_2892,V_2893] :
      ( segmentP(app('#skF_51',X_2892),V_2893)
      | ~ segmentP('#skF_53',V_2893)
      | ~ ssList(X_2892)
      | ~ ssList(V_2893) ),
    inference(demodulation,[status(thm),theory(equality)],[c_388,c_390,c_78166]) ).

tff(c_78341,plain,
    ! [V_2893] :
      ( segmentP('#skF_51',V_2893)
      | ~ segmentP('#skF_53',V_2893)
      | ~ ssList(nil)
      | ~ ssList(V_2893) ),
    inference(superposition,[status(thm),theory(equality)],[c_518,c_78330]) ).

tff(c_78744,plain,
    ! [V_2905] :
      ( segmentP('#skF_51',V_2905)
      | ~ segmentP('#skF_53',V_2905)
      | ~ ssList(V_2905) ),
    inference(demodulation,[status(thm),theory(equality)],[c_168,c_78341]) ).

tff(c_78752,plain,
    ( segmentP('#skF_51','#skF_53')
    | ~ ssList('#skF_53') ),
    inference(resolution,[status(thm)],[c_270,c_78744]) ).

tff(c_78758,plain,
    segmentP('#skF_51','#skF_53'),
    inference(demodulation,[status(thm),theory(equality)],[c_388,c_78752]) ).

tff(c_412,plain,
    ! [Y_1193] :
      ( ~ segmentP('#skF_50',Y_1193)
      | ~ segmentP('#skF_51',Y_1193)
      | ~ neq(Y_1193,nil)
      | ~ ssList(Y_1193) ),
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_396,c_392]) ).

tff(c_78783,plain,
    ( ~ segmentP('#skF_50','#skF_53')
    | ~ neq('#skF_53',nil)
    | ~ ssList('#skF_53') ),
    inference(resolution,[status(thm)],[c_78758,c_412]) ).

tff(c_78793,plain,
    ( ~ segmentP('#skF_50','#skF_53')
    | ~ neq('#skF_53',nil) ),
    inference(demodulation,[status(thm),theory(equality)],[c_388,c_78783]) ).

tff(c_78860,plain,
    ~ neq('#skF_53',nil),
    inference(splitLeft,[status(thm)],[c_78793]) ).

tff(c_78863,plain,
    ( ( nil = '#skF_53' )
    | ~ ssList(nil)
    | ~ ssList('#skF_53') ),
    inference(resolution,[status(thm)],[c_162,c_78860]) ).

tff(c_78869,plain,
    nil = '#skF_53',
    inference(demodulation,[status(thm),theory(equality)],[c_388,c_168,c_78863]) ).

tff(c_78871,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1294,c_78869]) ).

tff(c_78872,plain,
    ~ segmentP('#skF_50','#skF_53'),
    inference(splitRight,[status(thm)],[c_78793]) ).

tff(c_474,plain,
    app(nil,'#skF_53') = '#skF_53',
    inference(resolution,[status(thm)],[c_388,c_456]) ).

tff(c_79519,plain,
    ! [W_2911,V_2912,X_2913] :
      ( segmentP(app(app(W_2911,V_2912),X_2913),V_2912)
      | ~ ssList(X_2913)
      | ~ ssList(W_2911)
      | ~ ssList(V_2912)
      | ~ ssList(app(app(W_2911,V_2912),X_2913)) ),
    inference(cnfTransformation,[status(thm)],[f_135]) ).

tff(c_79815,plain,
    ! [X_2913] :
      ( segmentP(app('#skF_53',X_2913),'#skF_53')
      | ~ ssList(X_2913)
      | ~ ssList(nil)
      | ~ ssList('#skF_53')
      | ~ ssList(app(app(nil,'#skF_53'),X_2913)) ),
    inference(superposition,[status(thm),theory(equality)],[c_474,c_79519]) ).

tff(c_96174,plain,
    ! [X_3253] :
      ( segmentP(app('#skF_53',X_3253),'#skF_53')
      | ~ ssList(X_3253)
      | ~ ssList(app('#skF_53',X_3253)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_474,c_388,c_168,c_79815]) ).

tff(c_96200,plain,
    ( segmentP('#skF_50','#skF_53')
    | ~ ssList('#skF_52')
    | ~ ssList(app('#skF_53','#skF_52')) ),
    inference(superposition,[status(thm),theory(equality)],[c_384,c_96174]) ).

tff(c_96216,plain,
    segmentP('#skF_50','#skF_53'),
    inference(demodulation,[status(thm),theory(equality)],[c_402,c_384,c_390,c_96200]) ).

tff(c_96218,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_78872,c_96216]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC090+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.20/0.35  % DateTime : Thu Aug  3 21:18:36 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 37.68/22.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.68/22.51  
% 37.68/22.51  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 37.68/22.54  
% 37.68/22.54  Inference rules
% 37.68/22.54  ----------------------
% 37.68/22.54  #Ref     : 6
% 37.68/22.54  #Sup     : 20692
% 37.68/22.54  #Fact    : 0
% 37.68/22.54  #Define  : 0
% 37.68/22.54  #Split   : 400
% 38.00/22.54  #Chain   : 0
% 38.00/22.54  #Close   : 0
% 38.00/22.54  
% 38.00/22.54  Ordering : KBO
% 38.00/22.54  
% 38.00/22.54  Simplification rules
% 38.00/22.54  ----------------------
% 38.00/22.54  #Subsume      : 3822
% 38.00/22.54  #Demod        : 21405
% 38.00/22.54  #Tautology    : 5914
% 38.00/22.54  #SimpNegUnit  : 2123
% 38.00/22.54  #BackRed      : 1617
% 38.00/22.54  
% 38.00/22.54  #Partial instantiations: 0
% 38.00/22.54  #Strategies tried      : 1
% 38.00/22.54  
% 38.00/22.54  Timing (in seconds)
% 38.00/22.54  ----------------------
% 38.00/22.55  Preprocessing        : 0.92
% 38.00/22.55  Parsing              : 0.43
% 38.00/22.55  CNF conversion       : 0.12
% 38.00/22.55  Main loop            : 20.56
% 38.00/22.55  Inferencing          : 4.63
% 38.00/22.55  Reduction            : 9.51
% 38.00/22.55  Demodulation         : 6.93
% 38.00/22.55  BG Simplification    : 0.19
% 38.00/22.55  Subsumption          : 4.90
% 38.00/22.55  Abstraction          : 0.26
% 38.00/22.55  MUC search           : 0.00
% 38.00/22.55  Cooper               : 0.00
% 38.00/22.55  Total                : 21.54
% 38.00/22.55  Index Insertion      : 0.00
% 38.00/22.55  Index Deletion       : 0.00
% 38.00/22.55  Index Matching       : 0.00
% 38.00/22.55  BG Taut test         : 0.00
%------------------------------------------------------------------------------