TSTP Solution File: RNG095+2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : RNG095+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n023.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 : Thu Aug 31 13:48:08 EDT 2023

% Result   : Theorem 63.91s 63.95s
% Output   : CNFRefutation 63.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : RNG095+2 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun Aug 27 02:25:11 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.51/0.55  start to proof:theBenchmark
% 63.91/63.94  %-------------------------------------------
% 63.91/63.94  % File        :CSE---1.6
% 63.91/63.94  % Problem     :theBenchmark
% 63.91/63.94  % Transform   :cnf
% 63.91/63.94  % Format      :tptp:raw
% 63.91/63.94  % Command     :java -jar mcs_scs.jar %d %s
% 63.91/63.94  
% 63.91/63.94  % Result      :Theorem 63.320000s
% 63.91/63.94  % Output      :CNFRefutation 63.320000s
% 63.91/63.94  %-------------------------------------------
% 63.91/63.94  %------------------------------------------------------------------------------
% 63.91/63.94  % File     : RNG095+2 : TPTP v8.1.2. Released v4.0.0.
% 63.91/63.94  % Domain   : Ring Theory
% 63.91/63.94  % Problem  : Chinese remainder theorem in a ring 05_01, 01 expansion
% 63.91/63.94  % Version  : Especial.
% 63.91/63.94  % English  :
% 63.91/63.94  
% 63.91/63.94  % Refs     : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 63.91/63.94  %          : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 63.91/63.94  % Source   : [Pas08]
% 63.91/63.94  % Names    : chines_05_01.01 [Pas08]
% 63.91/63.94  
% 63.91/63.94  % Status   : Theorem
% 63.91/63.94  % Rating   : 0.17 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.13 v7.3.0, 0.14 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.12 v6.1.0, 0.17 v5.5.0, 0.22 v5.4.0, 0.29 v5.3.0, 0.33 v5.2.0, 0.20 v5.1.0, 0.29 v5.0.0, 0.33 v4.1.0, 0.43 v4.0.1, 0.74 v4.0.0
% 63.91/63.94  % Syntax   : Number of formulae    :   31 (   3 unt;   4 def)
% 63.91/63.94  %            Number of atoms       :  121 (  26 equ)
% 63.91/63.94  %            Maximal formula atoms :   14 (   3 avg)
% 63.91/63.94  %            Number of connectives :   91 (   1   ~;   1   |;  45   &)
% 63.91/63.94  %                                         (   6 <=>;  38  =>;   0  <=;   0 <~>)
% 63.91/63.94  %            Maximal formula depth :   13 (   5 avg)
% 63.91/63.94  %            Maximal term depth    :    3 (   1 avg)
% 63.91/63.94  %            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
% 63.91/63.95  %            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
% 63.91/63.95  %            Number of variables   :   65 (  59   !;   6   ?)
% 63.91/63.95  % SPC      : FOF_THM_RFO_SEQ
% 63.91/63.95  
% 63.91/63.95  % Comments : Problem generated by the SAD system [VLP07]
% 63.91/63.95  %------------------------------------------------------------------------------
% 63.91/63.95  fof(mElmSort,axiom,
% 63.91/63.95      ! [W0] :
% 63.91/63.95        ( aElement0(W0)
% 63.91/63.95       => $true ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mSortsC,axiom,
% 63.91/63.95      aElement0(sz00) ).
% 63.91/63.95  
% 63.91/63.95  fof(mSortsC_01,axiom,
% 63.91/63.95      aElement0(sz10) ).
% 63.91/63.95  
% 63.91/63.95  fof(mSortsU,axiom,
% 63.91/63.95      ! [W0] :
% 63.91/63.95        ( aElement0(W0)
% 63.91/63.95       => aElement0(smndt0(W0)) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mSortsB,axiom,
% 63.91/63.95      ! [W0,W1] :
% 63.91/63.95        ( ( aElement0(W0)
% 63.91/63.95          & aElement0(W1) )
% 63.91/63.95       => aElement0(sdtpldt0(W0,W1)) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mSortsB_02,axiom,
% 63.91/63.95      ! [W0,W1] :
% 63.91/63.95        ( ( aElement0(W0)
% 63.91/63.95          & aElement0(W1) )
% 63.91/63.95       => aElement0(sdtasdt0(W0,W1)) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mAddComm,axiom,
% 63.91/63.95      ! [W0,W1] :
% 63.91/63.95        ( ( aElement0(W0)
% 63.91/63.95          & aElement0(W1) )
% 63.91/63.95       => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mAddAsso,axiom,
% 63.91/63.95      ! [W0,W1,W2] :
% 63.91/63.95        ( ( aElement0(W0)
% 63.91/63.95          & aElement0(W1)
% 63.91/63.95          & aElement0(W2) )
% 63.91/63.95       => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mAddZero,axiom,
% 63.91/63.95      ! [W0] :
% 63.91/63.95        ( aElement0(W0)
% 63.91/63.95       => ( sdtpldt0(W0,sz00) = W0
% 63.91/63.95          & W0 = sdtpldt0(sz00,W0) ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mAddInvr,axiom,
% 63.91/63.95      ! [W0] :
% 63.91/63.95        ( aElement0(W0)
% 63.91/63.95       => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 63.91/63.95          & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mMulComm,axiom,
% 63.91/63.95      ! [W0,W1] :
% 63.91/63.95        ( ( aElement0(W0)
% 63.91/63.95          & aElement0(W1) )
% 63.91/63.95       => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mMulAsso,axiom,
% 63.91/63.95      ! [W0,W1,W2] :
% 63.91/63.95        ( ( aElement0(W0)
% 63.91/63.95          & aElement0(W1)
% 63.91/63.95          & aElement0(W2) )
% 63.91/63.95       => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mMulUnit,axiom,
% 63.91/63.95      ! [W0] :
% 63.91/63.95        ( aElement0(W0)
% 63.91/63.95       => ( sdtasdt0(W0,sz10) = W0
% 63.91/63.95          & W0 = sdtasdt0(sz10,W0) ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mAMDistr,axiom,
% 63.91/63.95      ! [W0,W1,W2] :
% 63.91/63.95        ( ( aElement0(W0)
% 63.91/63.95          & aElement0(W1)
% 63.91/63.95          & aElement0(W2) )
% 63.91/63.95       => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 63.91/63.95          & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mMulMnOne,axiom,
% 63.91/63.95      ! [W0] :
% 63.91/63.95        ( aElement0(W0)
% 63.91/63.95       => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 63.91/63.95          & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mMulZero,axiom,
% 63.91/63.95      ! [W0] :
% 63.91/63.95        ( aElement0(W0)
% 63.91/63.95       => ( sdtasdt0(W0,sz00) = sz00
% 63.91/63.95          & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mCancel,axiom,
% 63.91/63.95      ! [W0,W1] :
% 63.91/63.95        ( ( aElement0(W0)
% 63.91/63.95          & aElement0(W1) )
% 63.91/63.95       => ( sdtasdt0(W0,W1) = sz00
% 63.91/63.95         => ( W0 = sz00
% 63.91/63.95            | W1 = sz00 ) ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mUnNeZr,axiom,
% 63.91/63.95      sz10 != sz00 ).
% 63.91/63.95  
% 63.91/63.95  fof(mSetSort,axiom,
% 63.91/63.95      ! [W0] :
% 63.91/63.95        ( aSet0(W0)
% 63.91/63.95       => $true ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mEOfElem,axiom,
% 63.91/63.95      ! [W0] :
% 63.91/63.95        ( aSet0(W0)
% 63.91/63.95       => ! [W1] :
% 63.91/63.95            ( aElementOf0(W1,W0)
% 63.91/63.95           => aElement0(W1) ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mSetEq,axiom,
% 63.91/63.95      ! [W0,W1] :
% 63.91/63.95        ( ( aSet0(W0)
% 63.91/63.95          & aSet0(W1) )
% 63.91/63.95       => ( ( ! [W2] :
% 63.91/63.95                ( aElementOf0(W2,W0)
% 63.91/63.95               => aElementOf0(W2,W1) )
% 63.91/63.95            & ! [W2] :
% 63.91/63.95                ( aElementOf0(W2,W1)
% 63.91/63.95               => aElementOf0(W2,W0) ) )
% 63.91/63.95         => W0 = W1 ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mDefSSum,definition,
% 63.91/63.95      ! [W0,W1] :
% 63.91/63.95        ( ( aSet0(W0)
% 63.91/63.95          & aSet0(W1) )
% 63.91/63.95       => ! [W2] :
% 63.91/63.95            ( W2 = sdtpldt1(W0,W1)
% 63.91/63.95          <=> ( aSet0(W2)
% 63.91/63.95              & ! [W3] :
% 63.91/63.95                  ( aElementOf0(W3,W2)
% 63.91/63.95                <=> ? [W4,W5] :
% 63.91/63.95                      ( aElementOf0(W4,W0)
% 63.91/63.95                      & aElementOf0(W5,W1)
% 63.91/63.95                      & sdtpldt0(W4,W5) = W3 ) ) ) ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mDefSInt,definition,
% 63.91/63.95      ! [W0,W1] :
% 63.91/63.95        ( ( aSet0(W0)
% 63.91/63.95          & aSet0(W1) )
% 63.91/63.95       => ! [W2] :
% 63.91/63.95            ( W2 = sdtasasdt0(W0,W1)
% 63.91/63.95          <=> ( aSet0(W2)
% 63.91/63.95              & ! [W3] :
% 63.91/63.95                  ( aElementOf0(W3,W2)
% 63.91/63.95                <=> ( aElementOf0(W3,W0)
% 63.91/63.95                    & aElementOf0(W3,W1) ) ) ) ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mDefIdeal,definition,
% 63.91/63.95      ! [W0] :
% 63.91/63.95        ( aIdeal0(W0)
% 63.91/63.95      <=> ( aSet0(W0)
% 63.91/63.95          & ! [W1] :
% 63.91/63.95              ( aElementOf0(W1,W0)
% 63.91/63.95             => ( ! [W2] :
% 63.91/63.95                    ( aElementOf0(W2,W0)
% 63.91/63.95                   => aElementOf0(sdtpldt0(W1,W2),W0) )
% 63.91/63.95                & ! [W2] :
% 63.91/63.95                    ( aElement0(W2)
% 63.91/63.95                   => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mIdeSum,axiom,
% 63.91/63.95      ! [W0,W1] :
% 63.91/63.95        ( ( aIdeal0(W0)
% 63.91/63.95          & aIdeal0(W1) )
% 63.91/63.95       => aIdeal0(sdtpldt1(W0,W1)) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mIdeInt,axiom,
% 63.91/63.95      ! [W0,W1] :
% 63.91/63.95        ( ( aIdeal0(W0)
% 63.91/63.95          & aIdeal0(W1) )
% 63.91/63.95       => aIdeal0(sdtasasdt0(W0,W1)) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(mDefMod,definition,
% 63.91/63.95      ! [W0,W1,W2] :
% 63.91/63.95        ( ( aElement0(W0)
% 63.91/63.95          & aElement0(W1)
% 63.91/63.95          & aIdeal0(W2) )
% 63.91/63.95       => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 63.91/63.95        <=> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2) ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(m__1205,hypothesis,
% 63.91/63.95      ( aSet0(xI)
% 63.91/63.95      & ! [W0] :
% 63.91/63.95          ( aElementOf0(W0,xI)
% 63.91/63.95         => ( ! [W1] :
% 63.91/63.95                ( aElementOf0(W1,xI)
% 63.91/63.95               => aElementOf0(sdtpldt0(W0,W1),xI) )
% 63.91/63.95            & ! [W1] :
% 63.91/63.95                ( aElement0(W1)
% 63.91/63.95               => aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
% 63.91/63.95      & aIdeal0(xI)
% 63.91/63.95      & aSet0(xJ)
% 63.91/63.95      & ! [W0] :
% 63.91/63.95          ( aElementOf0(W0,xJ)
% 63.91/63.95         => ( ! [W1] :
% 63.91/63.95                ( aElementOf0(W1,xJ)
% 63.91/63.95               => aElementOf0(sdtpldt0(W0,W1),xJ) )
% 63.91/63.95            & ! [W1] :
% 63.91/63.95                ( aElement0(W1)
% 63.91/63.95               => aElementOf0(sdtasdt0(W1,W0),xJ) ) ) )
% 63.91/63.95      & aIdeal0(xJ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(m__1205_03,hypothesis,
% 63.91/63.95      ! [W0] :
% 63.91/63.95        ( aElement0(W0)
% 63.91/63.95       => ( ? [W1,W2] :
% 63.91/63.95              ( aElementOf0(W1,xI)
% 63.91/63.95              & aElementOf0(W2,xJ)
% 63.91/63.95              & sdtpldt0(W1,W2) = W0 )
% 63.91/63.95          & aElementOf0(W0,sdtpldt1(xI,xJ)) ) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(m__1217,hypothesis,
% 63.91/63.95      ( aElement0(xx)
% 63.91/63.95      & aElement0(xy) ) ).
% 63.91/63.95  
% 63.91/63.95  fof(m__,conjecture,
% 63.91/63.95      ? [W0,W1] :
% 63.91/63.95        ( aElementOf0(W0,xI)
% 63.91/63.95        & aElementOf0(W1,xJ)
% 63.91/63.95        & sdtpldt0(W0,W1) = sz10 ) ).
% 63.91/63.95  
% 63.91/63.95  %------------------------------------------------------------------------------
% 63.91/63.95  %-------------------------------------------
% 63.91/63.95  % Proof found
% 63.91/63.95  % SZS status Theorem for theBenchmark
% 63.91/63.95  % SZS output start Proof
% 63.91/63.96  %ClaNum:120(EqnAxiom:49)
% 63.91/63.96  %VarNum:448(SingletonVarNum:138)
% 63.91/63.96  %MaxLitNum:8
% 63.91/63.96  %MaxfuncDepth:2
% 63.91/63.96  %SharedTerms:17
% 63.91/63.96  %goalClause: 87
% 63.91/63.96  [50]P1(a1)
% 63.91/63.96  [51]P1(a20)
% 63.91/63.96  [52]P1(a21)
% 63.91/63.96  [53]P1(a24)
% 63.91/63.96  [54]P2(a22)
% 63.91/63.96  [55]P2(a23)
% 63.91/63.96  [56]P3(a22)
% 63.91/63.96  [57]P3(a23)
% 63.91/63.96  [58]~E(a1,a20)
% 63.91/63.96  [59]~P3(x591)+P2(x591)
% 63.91/63.96  [60]~P1(x601)+P1(f2(x601))
% 63.91/63.96  [61]~P1(x611)+E(f3(a1,x611),a1)
% 63.91/63.96  [62]~P1(x621)+E(f3(x621,a1),a1)
% 63.91/63.96  [63]~P1(x631)+E(f18(a1,x631),x631)
% 63.91/63.96  [64]~P1(x641)+E(f3(a20,x641),x641)
% 63.91/63.96  [65]~P1(x651)+E(f18(x651,a1),x651)
% 63.91/63.96  [66]~P1(x661)+E(f3(x661,a20),x661)
% 63.91/63.96  [67]~P1(x671)+P4(f4(x671),a22)
% 63.91/63.96  [68]~P1(x681)+P4(f7(x681),a23)
% 63.91/63.96  [77]~P1(x771)+P4(x771,f19(a22,a23))
% 63.91/63.96  [69]~P1(x691)+E(f18(f2(x691),x691),a1)
% 63.91/63.96  [70]~P1(x701)+E(f18(x701,f2(x701)),a1)
% 63.91/63.96  [71]~P1(x711)+E(f3(x711,f2(a20)),f2(x711))
% 63.91/63.96  [72]~P1(x721)+E(f3(f2(a20),x721),f2(x721))
% 63.91/63.96  [75]~P1(x751)+E(f18(f4(x751),f7(x751)),x751)
% 63.91/63.96  [73]~P2(x731)+P3(x731)+P4(f8(x731),x731)
% 63.91/63.96  [74]~P4(x741,x742)+P1(x741)+~P2(x742)
% 63.91/63.96  [78]~P1(x782)+~P1(x781)+E(f18(x781,x782),f18(x782,x781))
% 63.91/63.96  [79]~P1(x792)+~P1(x791)+E(f3(x791,x792),f3(x792,x791))
% 63.91/63.96  [83]~P1(x832)+~P1(x831)+P1(f18(x831,x832))
% 63.91/63.96  [84]~P1(x842)+~P1(x841)+P1(f3(x841,x842))
% 63.91/63.96  [85]~P3(x852)+~P3(x851)+P3(f19(x851,x852))
% 63.91/63.96  [86]~P3(x862)+~P3(x861)+P3(f17(x861,x862))
% 63.91/63.96  [87]~P4(x872,a23)+~P4(x871,a22)+~E(f18(x871,x872),a20)
% 63.91/63.96  [88]~P1(x881)+~P4(x882,a22)+P4(f3(x881,x882),a22)
% 63.91/63.96  [89]~P1(x891)+~P4(x892,a23)+P4(f3(x891,x892),a23)
% 63.91/63.96  [93]~P4(x931,a22)+~P4(x932,a22)+P4(f18(x931,x932),a22)
% 63.91/63.96  [94]~P4(x941,a23)+~P4(x942,a23)+P4(f18(x941,x942),a23)
% 63.91/63.96  [82]~P2(x821)+P3(x821)+P4(f6(x821),x821)+P1(f5(x821))
% 63.91/63.96  [103]~P2(x1031)+P3(x1031)+P1(f5(x1031))+~P4(f18(f8(x1031),f6(x1031)),x1031)
% 63.91/63.96  [106]~P2(x1061)+P3(x1061)+P4(f6(x1061),x1061)+~P4(f3(f5(x1061),f8(x1061)),x1061)
% 63.91/63.96  [110]~P2(x1101)+P3(x1101)+~P4(f18(f8(x1101),f6(x1101)),x1101)+~P4(f3(f5(x1101),f8(x1101)),x1101)
% 63.91/63.96  [80]~P2(x803)+~P2(x802)+P2(x801)+~E(x801,f19(x802,x803))
% 63.91/63.96  [81]~P2(x813)+~P2(x812)+P2(x811)+~E(x811,f17(x812,x813))
% 63.91/63.96  [92]~P1(x921)+~P3(x923)+~P4(x922,x923)+P4(f3(x921,x922),x923)
% 63.91/63.96  [95]~P3(x953)+~P4(x951,x953)+~P4(x952,x953)+P4(f18(x951,x952),x953)
% 63.91/63.96  [98]~P1(x983)+~P1(x982)+~P1(x981)+E(f18(f18(x981,x982),x983),f18(x981,f18(x982,x983)))
% 63.91/63.96  [99]~P1(x993)+~P1(x992)+~P1(x991)+E(f3(f3(x991,x992),x993),f3(x991,f3(x992,x993)))
% 63.91/63.96  [104]~P1(x1043)+~P1(x1042)+~P1(x1041)+E(f18(f3(x1041,x1042),f3(x1041,x1043)),f3(x1041,f18(x1042,x1043)))
% 63.91/63.96  [105]~P1(x1052)+~P1(x1053)+~P1(x1051)+E(f18(f3(x1051,x1052),f3(x1053,x1052)),f3(f18(x1051,x1053),x1052))
% 63.91/63.96  [76]~P1(x761)+~P1(x762)+E(x761,a1)+E(x762,a1)+~E(f3(x762,x761),a1)
% 63.91/63.96  [96]~P2(x962)+~P2(x961)+E(x961,x962)+P4(f9(x961,x962),x961)+P4(f10(x961,x962),x962)
% 63.91/63.96  [100]~P2(x1002)+~P2(x1001)+E(x1001,x1002)+P4(f9(x1001,x1002),x1001)+~P4(f10(x1001,x1002),x1001)
% 63.91/63.96  [101]~P2(x1012)+~P2(x1011)+E(x1011,x1012)+P4(f10(x1011,x1012),x1012)+~P4(f9(x1011,x1012),x1012)
% 63.91/63.96  [107]~P2(x1072)+~P2(x1071)+E(x1071,x1072)+~P4(f9(x1071,x1072),x1072)+~P4(f10(x1071,x1072),x1071)
% 63.91/63.96  [108]~P1(x1082)+~P1(x1081)+~P3(x1083)+P5(x1081,x1082,x1083)+~P4(f18(x1081,f2(x1082)),x1083)
% 63.91/63.96  [109]~P1(x1092)+~P1(x1091)+~P3(x1093)+~P5(x1091,x1092,x1093)+P4(f18(x1091,f2(x1092)),x1093)
% 63.91/63.96  [90]~P2(x904)+~P2(x902)+~P4(x901,x903)+P4(x901,x902)+~E(x903,f17(x904,x902))
% 63.91/63.96  [91]~P2(x914)+~P2(x912)+~P4(x911,x913)+P4(x911,x912)+~E(x913,f17(x912,x914))
% 63.91/63.96  [117]~P2(x1172)+~P2(x1171)+~P4(x1174,x1173)+~E(x1173,f19(x1171,x1172))+P4(f12(x1171,x1172,x1173,x1174),x1171)
% 63.91/63.96  [118]~P2(x1182)+~P2(x1181)+~P4(x1184,x1183)+~E(x1183,f19(x1181,x1182))+P4(f13(x1181,x1182,x1183,x1184),x1182)
% 63.91/63.96  [120]~P2(x1202)+~P2(x1201)+~P4(x1204,x1203)+~E(x1203,f19(x1201,x1202))+E(f18(f12(x1201,x1202,x1203,x1204),f13(x1201,x1202,x1203,x1204)),x1204)
% 63.91/63.96  [111]~P2(x1111)+~P2(x1113)+~P2(x1112)+P4(f11(x1112,x1113,x1111),x1111)+P4(f14(x1112,x1113,x1111),x1112)+E(x1111,f19(x1112,x1113))
% 63.91/63.96  [112]~P2(x1121)+~P2(x1123)+~P2(x1122)+P4(f11(x1122,x1123,x1121),x1121)+P4(f15(x1122,x1123,x1121),x1123)+E(x1121,f19(x1122,x1123))
% 63.91/63.96  [113]~P2(x1131)+~P2(x1133)+~P2(x1132)+P4(f16(x1132,x1133,x1131),x1131)+P4(f16(x1132,x1133,x1131),x1133)+E(x1131,f17(x1132,x1133))
% 63.91/63.96  [114]~P2(x1141)+~P2(x1143)+~P2(x1142)+P4(f16(x1142,x1143,x1141),x1141)+P4(f16(x1142,x1143,x1141),x1142)+E(x1141,f17(x1142,x1143))
% 63.91/63.96  [116]~P2(x1161)+~P2(x1163)+~P2(x1162)+P4(f11(x1162,x1163,x1161),x1161)+E(x1161,f19(x1162,x1163))+E(f18(f14(x1162,x1163,x1161),f15(x1162,x1163,x1161)),f11(x1162,x1163,x1161))
% 63.91/63.96  [97]~P2(x974)+~P2(x973)+~P4(x971,x974)+~P4(x971,x973)+P4(x971,x972)+~E(x972,f17(x973,x974))
% 63.91/63.96  [119]~P2(x1191)+~P2(x1193)+~P2(x1192)+~P4(f16(x1192,x1193,x1191),x1191)+~P4(f16(x1192,x1193,x1191),x1193)+~P4(f16(x1192,x1193,x1191),x1192)+E(x1191,f17(x1192,x1193))
% 63.91/63.96  [102]~P2(x1024)+~P2(x1023)+~P4(x1026,x1024)+~P4(x1025,x1023)+P4(x1021,x1022)+~E(x1022,f19(x1023,x1024))+~E(f18(x1025,x1026),x1021)
% 63.91/63.96  [115]~P2(x1151)+~P2(x1153)+~P2(x1152)+~P4(x1155,x1153)+~P4(x1154,x1152)+~P4(f11(x1152,x1153,x1151),x1151)+E(x1151,f19(x1152,x1153))+~E(f18(x1154,x1155),f11(x1152,x1153,x1151))
% 63.91/63.96  %EqnAxiom
% 63.91/63.96  [1]E(x11,x11)
% 63.91/63.96  [2]E(x22,x21)+~E(x21,x22)
% 63.91/63.96  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 63.91/63.96  [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 63.91/63.96  [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 63.91/63.96  [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 63.91/63.96  [7]~E(x71,x72)+E(f19(x71,x73),f19(x72,x73))
% 63.91/63.96  [8]~E(x81,x82)+E(f19(x83,x81),f19(x83,x82))
% 63.91/63.96  [9]~E(x91,x92)+E(f18(x91,x93),f18(x92,x93))
% 63.91/63.96  [10]~E(x101,x102)+E(f18(x103,x101),f18(x103,x102))
% 63.91/63.96  [11]~E(x111,x112)+E(f13(x111,x113,x114,x115),f13(x112,x113,x114,x115))
% 63.91/63.96  [12]~E(x121,x122)+E(f13(x123,x121,x124,x125),f13(x123,x122,x124,x125))
% 63.91/63.96  [13]~E(x131,x132)+E(f13(x133,x134,x131,x135),f13(x133,x134,x132,x135))
% 63.91/63.96  [14]~E(x141,x142)+E(f13(x143,x144,x145,x141),f13(x143,x144,x145,x142))
% 63.91/63.96  [15]~E(x151,x152)+E(f16(x151,x153,x154),f16(x152,x153,x154))
% 63.91/63.96  [16]~E(x161,x162)+E(f16(x163,x161,x164),f16(x163,x162,x164))
% 63.91/63.96  [17]~E(x171,x172)+E(f16(x173,x174,x171),f16(x173,x174,x172))
% 63.91/63.96  [18]~E(x181,x182)+E(f11(x181,x183,x184),f11(x182,x183,x184))
% 63.91/63.96  [19]~E(x191,x192)+E(f11(x193,x191,x194),f11(x193,x192,x194))
% 63.91/63.96  [20]~E(x201,x202)+E(f11(x203,x204,x201),f11(x203,x204,x202))
% 63.91/63.96  [21]~E(x211,x212)+E(f4(x211),f4(x212))
% 63.91/63.96  [22]~E(x221,x222)+E(f7(x221),f7(x222))
% 63.91/63.96  [23]~E(x231,x232)+E(f14(x231,x233,x234),f14(x232,x233,x234))
% 63.91/63.96  [24]~E(x241,x242)+E(f14(x243,x241,x244),f14(x243,x242,x244))
% 63.91/63.96  [25]~E(x251,x252)+E(f14(x253,x254,x251),f14(x253,x254,x252))
% 63.91/63.96  [26]~E(x261,x262)+E(f10(x261,x263),f10(x262,x263))
% 63.91/63.96  [27]~E(x271,x272)+E(f10(x273,x271),f10(x273,x272))
% 63.91/63.96  [28]~E(x281,x282)+E(f9(x281,x283),f9(x282,x283))
% 63.91/63.96  [29]~E(x291,x292)+E(f9(x293,x291),f9(x293,x292))
% 63.91/63.96  [30]~E(x301,x302)+E(f17(x301,x303),f17(x302,x303))
% 63.91/63.96  [31]~E(x311,x312)+E(f17(x313,x311),f17(x313,x312))
% 63.91/63.96  [32]~E(x321,x322)+E(f15(x321,x323,x324),f15(x322,x323,x324))
% 63.91/63.96  [33]~E(x331,x332)+E(f15(x333,x331,x334),f15(x333,x332,x334))
% 63.91/63.96  [34]~E(x341,x342)+E(f15(x343,x344,x341),f15(x343,x344,x342))
% 63.91/63.96  [35]~E(x351,x352)+E(f12(x351,x353,x354,x355),f12(x352,x353,x354,x355))
% 63.91/63.96  [36]~E(x361,x362)+E(f12(x363,x361,x364,x365),f12(x363,x362,x364,x365))
% 63.91/63.96  [37]~E(x371,x372)+E(f12(x373,x374,x371,x375),f12(x373,x374,x372,x375))
% 63.91/63.96  [38]~E(x381,x382)+E(f12(x383,x384,x385,x381),f12(x383,x384,x385,x382))
% 63.91/63.96  [39]~E(x391,x392)+E(f5(x391),f5(x392))
% 63.91/63.96  [40]~E(x401,x402)+E(f8(x401),f8(x402))
% 63.91/63.96  [41]~E(x411,x412)+E(f6(x411),f6(x412))
% 63.91/63.96  [42]~P1(x421)+P1(x422)+~E(x421,x422)
% 63.91/63.96  [43]P4(x432,x433)+~E(x431,x432)+~P4(x431,x433)
% 63.91/63.96  [44]P4(x443,x442)+~E(x441,x442)+~P4(x443,x441)
% 63.91/63.96  [45]~P2(x451)+P2(x452)+~E(x451,x452)
% 63.91/63.96  [46]~P3(x461)+P3(x462)+~E(x461,x462)
% 63.91/63.96  [47]P5(x472,x473,x474)+~E(x471,x472)+~P5(x471,x473,x474)
% 63.91/63.96  [48]P5(x483,x482,x484)+~E(x481,x482)+~P5(x483,x481,x484)
% 63.91/63.96  [49]P5(x493,x494,x492)+~E(x491,x492)+~P5(x493,x494,x491)
% 63.91/63.96  
% 63.91/63.96  %-------------------------------------------
% 63.91/63.96  cnf(121,plain,
% 63.91/63.96     (~E(a20,a1)),
% 63.91/63.96     inference(scs_inference,[],[58,2])).
% 63.91/63.96  cnf(122,plain,
% 63.91/63.96     (P4(a1,f19(a22,a23))),
% 63.91/63.96     inference(scs_inference,[],[50,58,2,77])).
% 63.91/63.96  cnf(124,plain,
% 63.91/63.96     (P4(f7(a1),a23)),
% 63.91/63.96     inference(scs_inference,[],[50,58,2,77,68])).
% 63.91/63.96  cnf(126,plain,
% 63.91/63.96     (P4(f4(a1),a22)),
% 63.91/63.96     inference(scs_inference,[],[50,58,2,77,68,67])).
% 63.91/63.96  cnf(128,plain,
% 63.91/63.96     (E(f3(a1,a20),a1)),
% 63.91/63.96     inference(scs_inference,[],[50,58,2,77,68,67,66])).
% 63.91/63.96  cnf(130,plain,
% 63.91/63.96     (E(f18(a1,a1),a1)),
% 63.91/63.96     inference(scs_inference,[],[50,58,2,77,68,67,66,65])).
% 63.91/63.96  cnf(132,plain,
% 63.91/63.96     (E(f3(a20,a1),a1)),
% 63.91/63.96     inference(scs_inference,[],[50,58,2,77,68,67,66,65,64])).
% 63.91/63.96  cnf(134,plain,
% 63.91/63.96     (E(f18(a1,a20),a20)),
% 63.91/63.96     inference(scs_inference,[],[50,51,58,2,77,68,67,66,65,64,63])).
% 63.91/63.96  cnf(136,plain,
% 63.91/63.96     (E(f3(a1,a1),a1)),
% 63.91/63.96     inference(scs_inference,[],[50,51,58,2,77,68,67,66,65,64,63,62])).
% 63.91/63.96  cnf(138,plain,
% 63.91/63.96     (E(f3(a1,a21),a1)),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61])).
% 63.91/63.96  cnf(140,plain,
% 63.91/63.96     (P1(f2(a1))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60])).
% 63.91/63.96  cnf(144,plain,
% 63.91/63.96     (E(f5(f3(a1,a20)),f5(a1))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39])).
% 63.91/63.96  cnf(145,plain,
% 63.91/63.96     (E(f12(x1451,x1452,x1453,f3(a1,a20)),f12(x1451,x1452,x1453,a1))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38])).
% 63.91/63.96  cnf(146,plain,
% 63.91/63.96     (E(f12(x1461,x1462,f3(a1,a20),x1463),f12(x1461,x1462,a1,x1463))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37])).
% 63.91/63.96  cnf(147,plain,
% 63.91/63.96     (E(f12(x1471,f3(a1,a20),x1472,x1473),f12(x1471,a1,x1472,x1473))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36])).
% 63.91/63.96  cnf(148,plain,
% 63.91/63.96     (E(f12(f3(a1,a20),x1481,x1482,x1483),f12(a1,x1481,x1482,x1483))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35])).
% 63.91/63.96  cnf(149,plain,
% 63.91/63.96     (E(f15(x1491,x1492,f3(a1,a20)),f15(x1491,x1492,a1))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34])).
% 63.91/63.96  cnf(150,plain,
% 63.91/63.96     (E(f15(x1501,f3(a1,a20),x1502),f15(x1501,a1,x1502))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33])).
% 63.91/63.96  cnf(151,plain,
% 63.91/63.96     (E(f15(f3(a1,a20),x1511,x1512),f15(a1,x1511,x1512))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32])).
% 63.91/63.96  cnf(152,plain,
% 63.91/63.96     (E(f17(x1521,f3(a1,a20)),f17(x1521,a1))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31])).
% 63.91/63.96  cnf(153,plain,
% 63.91/63.96     (E(f17(f3(a1,a20),x1531),f17(a1,x1531))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30])).
% 63.91/63.96  cnf(164,plain,
% 63.91/63.96     (E(f11(x1641,f3(a1,a20),x1642),f11(x1641,a1,x1642))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19])).
% 63.91/63.96  cnf(165,plain,
% 63.91/63.96     (E(f11(f3(a1,a20),x1651,x1652),f11(a1,x1651,x1652))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18])).
% 63.91/63.96  cnf(166,plain,
% 63.91/63.96     (E(f16(x1661,x1662,f3(a1,a20)),f16(x1661,x1662,a1))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17])).
% 63.91/63.96  cnf(167,plain,
% 63.91/63.96     (E(f16(x1671,f3(a1,a20),x1672),f16(x1671,a1,x1672))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16])).
% 63.91/63.96  cnf(169,plain,
% 63.91/63.96     (E(f13(x1691,x1692,x1693,f3(a1,a20)),f13(x1691,x1692,x1693,a1))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 63.91/63.96  cnf(170,plain,
% 63.91/63.96     (E(f13(x1701,x1702,f3(a1,a20),x1703),f13(x1701,x1702,a1,x1703))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 63.91/63.96  cnf(171,plain,
% 63.91/63.96     (E(f13(x1711,f3(a1,a20),x1712,x1713),f13(x1711,a1,x1712,x1713))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 63.91/63.96  cnf(172,plain,
% 63.91/63.96     (E(f13(f3(a1,a20),x1721,x1722,x1723),f13(a1,x1721,x1722,x1723))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 63.91/63.96  cnf(175,plain,
% 63.91/63.96     (E(f19(x1751,f3(a1,a20)),f19(x1751,a1))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 63.91/63.96  cnf(177,plain,
% 63.91/63.96     (E(f3(x1771,f3(a1,a20)),f3(x1771,a1))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 63.91/63.96  cnf(180,plain,
% 63.91/63.96     (E(f18(f4(a1),f7(a1)),a1)),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75])).
% 63.91/63.96  cnf(186,plain,
% 63.91/63.96     (E(f18(a1,f2(a1)),a1)),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75,72,71,70])).
% 63.91/63.96  cnf(188,plain,
% 63.91/63.96     (E(f18(f2(a1),a1),a1)),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75,72,71,70,69])).
% 63.91/63.96  cnf(191,plain,
% 63.91/63.96     (~E(a1,f18(a1,a20))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,56,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75,72,71,70,69,46,3])).
% 63.91/63.96  cnf(192,plain,
% 63.91/63.96     (P1(f4(a1))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,54,56,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75,72,71,70,69,46,3,74])).
% 63.91/63.96  cnf(194,plain,
% 63.91/63.96     (P4(f18(f7(a1),f7(a1)),a23)),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,54,56,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75,72,71,70,69,46,3,74,94])).
% 63.91/63.96  cnf(196,plain,
% 63.91/63.96     (P4(f18(f4(a1),f4(a1)),a22)),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,54,56,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75,72,71,70,69,46,3,74,94,93])).
% 63.91/63.96  cnf(198,plain,
% 63.91/63.96     (P4(f3(a1,f7(a1)),a23)),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,54,56,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75,72,71,70,69,46,3,74,94,93,89])).
% 63.91/63.96  cnf(200,plain,
% 63.91/63.96     (P4(f3(a1,f4(a1)),a22)),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,54,56,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75,72,71,70,69,46,3,74,94,93,89,88])).
% 63.91/63.96  cnf(202,plain,
% 63.91/63.96     (~E(f18(f4(a1),f7(a1)),a20)),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,54,56,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75,72,71,70,69,46,3,74,94,93,89,88,87])).
% 63.91/63.96  cnf(204,plain,
% 63.91/63.96     (P3(f17(a22,a22))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,54,56,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75,72,71,70,69,46,3,74,94,93,89,88,87,86])).
% 63.91/63.96  cnf(206,plain,
% 63.91/63.96     (P3(f19(a22,a22))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,54,56,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75,72,71,70,69,46,3,74,94,93,89,88,87,86,85])).
% 63.91/63.96  cnf(208,plain,
% 63.91/63.96     (P1(f3(a1,a1))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,54,56,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75,72,71,70,69,46,3,74,94,93,89,88,87,86,85,84])).
% 63.91/63.96  cnf(210,plain,
% 63.91/63.96     (P1(f18(a1,a1))),
% 63.91/63.96     inference(scs_inference,[],[50,51,52,54,56,58,2,77,68,67,66,65,64,63,62,61,60,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,75,72,71,70,69,46,3,74,94,93,89,88,87,86,85,84,83])).
% 63.91/63.96  cnf(248,plain,
% 63.91/63.96     (P2(f17(a22,a22))),
% 63.91/63.96     inference(scs_inference,[],[204,59])).
% 63.91/63.96  cnf(250,plain,
% 63.91/63.96     (~E(f18(f4(a1),f18(f7(a1),f7(a1))),a20)),
% 63.91/63.96     inference(scs_inference,[],[194,204,126,59,87])).
% 63.91/63.96  cnf(252,plain,
% 63.91/63.96     (P3(f17(a23,a23))),
% 63.91/63.96     inference(scs_inference,[],[57,194,204,126,59,87,86])).
% 63.91/63.96  cnf(254,plain,
% 63.91/63.96     (P3(f19(a23,a23))),
% 63.91/63.96     inference(scs_inference,[],[57,194,204,126,59,87,86,85])).
% 63.91/63.96  cnf(256,plain,
% 63.91/63.96     (P4(f3(a1,f18(f7(a1),f7(a1))),a23)),
% 63.91/63.96     inference(scs_inference,[],[50,57,194,204,126,59,87,86,85,92])).
% 63.91/63.96  cnf(258,plain,
% 63.91/63.96     (E(f18(f3(a1,a1),f3(a1,a1)),f3(f18(a1,a1),a1))),
% 63.91/63.96     inference(scs_inference,[],[50,57,194,204,126,59,87,86,85,92,105])).
% 63.91/63.96  cnf(264,plain,
% 63.91/63.96     (P1(f18(f7(a1),f7(a1)))),
% 63.91/63.96     inference(scs_inference,[],[50,57,55,169,170,194,204,126,59,87,86,85,92,105,2,3,74])).
% 63.91/63.96  cnf(270,plain,
% 63.91/63.96     (P1(f3(a24,a24))),
% 63.91/63.96     inference(scs_inference,[],[50,53,57,55,169,170,194,196,204,126,59,87,86,85,92,105,2,3,74,89,88,84])).
% 63.91/63.96  cnf(272,plain,
% 63.91/63.96     (P1(f18(a24,a24))),
% 63.91/63.96     inference(scs_inference,[],[50,53,57,55,169,170,194,196,204,126,59,87,86,85,92,105,2,3,74,89,88,84,83])).
% 63.91/63.96  cnf(274,plain,
% 63.91/63.96     (E(f3(f3(a1,a1),a1),f3(a1,f3(a1,a1)))),
% 63.91/63.96     inference(scs_inference,[],[50,53,57,55,169,170,194,196,204,126,59,87,86,85,92,105,2,3,74,89,88,84,83,99])).
% 63.91/63.96  cnf(278,plain,
% 63.91/63.96     (E(f18(f3(a1,a1),f3(a1,a1)),f3(a1,f18(a1,a1)))),
% 63.91/63.96     inference(scs_inference,[],[50,53,57,55,169,170,194,196,204,126,59,87,86,85,92,105,2,3,74,89,88,84,83,99,98,104])).
% 63.91/63.96  cnf(302,plain,
% 63.91/63.96     (E(f18(f3(a20,a20),f3(a20,a20)),f3(a20,f18(a20,a20)))),
% 63.91/63.96     inference(scs_inference,[],[51,105,104])).
% 63.91/63.96  cnf(305,plain,
% 63.91/63.96     (E(f3(f3(a20,a20),a20),f3(a20,f3(a20,a20)))),
% 63.91/63.96     inference(scs_inference,[],[51,202,105,104,2,99])).
% 63.91/63.96  cnf(312,plain,
% 63.91/63.96     (~E(a20,x3121)+P1(x3121)),
% 63.91/63.96     inference(scs_inference,[],[51,171,172,202,105,104,2,99,98,3,42])).
% 63.91/63.96  cnf(313,plain,
% 63.91/63.96     (~E(a20,x3131)+E(f3(x3131,a20),f3(a20,x3131))),
% 63.91/63.96     inference(scs_inference,[],[51,171,172,202,105,104,2,99,98,3,42,79])).
% 63.91/63.96  cnf(315,plain,
% 63.91/63.96     (~E(a20,x3151)+E(f18(x3151,a20),f18(a20,x3151))),
% 63.91/63.96     inference(scs_inference,[],[51,171,172,202,105,104,2,99,98,3,42,79,78])).
% 63.91/63.96  cnf(331,plain,
% 63.91/63.96     (E(f12(a1,x3311,x3312,x3313),f12(f3(a1,a20),x3311,x3312,x3313))),
% 63.91/63.96     inference(scs_inference,[],[51,56,148,200,92,2])).
% 63.91/63.96  cnf(332,plain,
% 63.91/63.96     (~E(a20,f18(a1,a1))),
% 63.91/63.96     inference(scs_inference,[],[51,121,56,148,130,200,92,2,3])).
% 63.91/63.96  cnf(333,plain,
% 63.91/63.96     (P4(f3(a1,f4(a1)),x3331)+~E(x3331,f17(a22,a22))),
% 63.91/63.96     inference(scs_inference,[],[51,121,56,54,148,130,200,92,2,3,97])).
% 63.91/63.96  cnf(347,plain,
% 63.91/63.96     (P4(f3(a1,f4(a1)),f17(a22,a22))),
% 63.91/63.96     inference(equality_inference,[],[333])).
% 63.91/63.96  cnf(351,plain,
% 63.91/63.96     (~E(f18(a1,a1),a20)),
% 63.91/63.96     inference(scs_inference,[],[331,147,332,3,2])).
% 63.91/63.96  cnf(357,plain,
% 63.91/63.96     (P4(f7(a21),a23)),
% 63.91/63.96     inference(scs_inference,[],[52,122,54,331,147,278,332,175,3,2,118,102,68])).
% 63.91/63.96  cnf(359,plain,
% 63.91/63.96     (E(f3(a21,a20),a21)),
% 63.91/63.96     inference(scs_inference,[],[52,122,54,331,147,278,332,175,3,2,118,102,68,66])).
% 63.91/63.96  cnf(361,plain,
% 63.91/63.96     (E(f18(a21,a1),a21)),
% 63.91/63.96     inference(scs_inference,[],[52,122,54,331,147,278,332,175,3,2,118,102,68,66,65])).
% 63.91/63.96  cnf(363,plain,
% 63.91/63.96     (E(f3(a20,a21),a21)),
% 63.91/63.96     inference(scs_inference,[],[52,122,54,331,147,278,332,175,3,2,118,102,68,66,65,64])).
% 63.91/63.96  cnf(365,plain,
% 63.91/63.96     (E(f3(a21,a1),a1)),
% 63.91/63.97     inference(scs_inference,[],[52,122,54,331,147,278,332,175,3,2,118,102,68,66,65,64,62])).
% 63.91/63.97  cnf(367,plain,
% 63.91/63.97     (P1(f2(a21))),
% 63.91/63.97     inference(scs_inference,[],[52,122,54,331,147,278,332,175,3,2,118,102,68,66,65,64,62,60])).
% 63.91/63.97  cnf(369,plain,
% 63.91/63.97     (E(f18(f4(a21),f7(a21)),a21)),
% 63.91/63.97     inference(scs_inference,[],[52,122,54,331,147,278,332,175,3,2,118,102,68,66,65,64,62,60,75])).
% 63.91/63.97  cnf(371,plain,
% 63.91/63.97     (E(f18(f2(a21),a21),a1)),
% 63.91/63.97     inference(scs_inference,[],[52,122,54,331,147,278,332,175,3,2,118,102,68,66,65,64,62,60,75,69])).
% 63.91/63.97  cnf(377,plain,
% 63.91/63.97     (P4(x3771,f19(a22,a23))+~E(a1,x3771)),
% 63.91/63.97     inference(scs_inference,[],[52,122,54,331,147,278,332,175,126,3,2,118,102,68,66,65,64,62,60,75,69,117,115,43])).
% 63.91/63.97  cnf(378,plain,
% 63.91/63.97     (P2(x3781)+~E(x3781,f19(a22,a22))),
% 63.91/63.97     inference(scs_inference,[],[52,122,54,331,147,278,332,175,126,3,2,118,102,68,66,65,64,62,60,75,69,117,115,43,80])).
% 63.91/63.97  cnf(386,plain,
% 63.91/63.97     (P2(f19(a22,a22))),
% 63.91/63.97     inference(equality_inference,[],[378])).
% 63.91/63.97  cnf(387,plain,
% 63.91/63.97     (P4(f18(f7(a21),f7(a21)),a23)),
% 63.91/63.97     inference(scs_inference,[],[357,94])).
% 63.91/63.97  cnf(390,plain,
% 63.91/63.97     (E(f12(x3901,x3902,f3(a1,a20),x3903),f12(x3901,x3902,a1,x3903))),
% 63.91/63.97     inference(rename_variables,[],[146])).
% 63.91/63.97  cnf(395,plain,
% 63.91/63.97     (P4(f4(a21),a22)),
% 63.91/63.97     inference(scs_inference,[],[52,146,390,145,357,94,3,2,77,67])).
% 63.91/63.97  cnf(414,plain,
% 63.91/63.97     (E(f18(a21,f2(a21)),a1)),
% 63.91/63.97     inference(scs_inference,[],[52,146,390,145,180,357,94,3,2,77,67,41,37,35,32,25,24,23,21,15,13,10,9,5,72,71,70])).
% 63.91/63.97  cnf(429,plain,
% 63.91/63.97     (P2(f17(a23,a23))),
% 63.91/63.97     inference(scs_inference,[],[252,59])).
% 63.91/63.97  cnf(433,plain,
% 63.91/63.97     (E(f3(a1,a24),a1)),
% 63.91/63.97     inference(scs_inference,[],[53,252,59,63,61])).
% 63.91/63.97  cnf(435,plain,
% 63.91/63.97     (P4(f18(f4(a21),f4(a21)),a22)),
% 63.91/63.97     inference(scs_inference,[],[53,252,395,59,63,61,93])).
% 63.91/63.97  cnf(462,plain,
% 63.91/63.97     (~E(a20,f3(a1,a20))),
% 63.91/63.97     inference(scs_inference,[],[53,121,252,128,395,414,59,63,61,93,40,39,38,36,34,33,31,30,29,28,27,26,22,20,19,18,17,16,14,12,11,8,7,6,4,3])).
% 63.91/63.97  cnf(464,plain,
% 63.91/63.97     (P3(f17(f17(a23,a23),f17(a23,a23)))),
% 63.91/63.97     inference(scs_inference,[],[53,121,252,128,395,414,250,59,63,61,93,40,39,38,36,34,33,31,30,29,28,27,26,22,20,19,18,17,16,14,12,11,8,7,6,4,3,2,86])).
% 63.91/63.97  cnf(473,plain,
% 63.91/63.97     (P1(f7(a1))),
% 63.91/63.97     inference(scs_inference,[],[124,55,74])).
% 63.91/63.97  cnf(477,plain,
% 63.91/63.97     (~E(f18(f18(f4(a21),f4(a21)),f7(a1)),a20)),
% 63.91/63.97     inference(scs_inference,[],[53,124,55,435,74,88,87])).
% 63.91/63.97  cnf(479,plain,
% 63.91/63.97     (P3(f19(f19(a22,a22),f19(a22,a22)))),
% 63.91/63.97     inference(scs_inference,[],[53,124,55,435,206,74,88,87,85])).
% 63.91/63.97  cnf(481,plain,
% 63.91/63.97     (P1(f3(f2(a1),f2(a1)))),
% 63.91/63.97     inference(scs_inference,[],[53,124,55,435,140,206,74,88,87,85,84])).
% 63.91/63.97  cnf(483,plain,
% 63.91/63.97     (P3(f17(f19(a22,a22),f19(a22,a22)))),
% 63.91/63.97     inference(scs_inference,[],[53,124,55,435,140,206,74,88,87,85,84,86])).
% 63.91/63.97  cnf(485,plain,
% 63.91/63.97     (P4(f3(a24,f7(a1)),a23)),
% 63.91/63.97     inference(scs_inference,[],[53,124,55,435,140,206,74,88,87,85,84,86,89])).
% 63.91/63.97  cnf(487,plain,
% 63.91/63.97     (P1(f18(f2(a1),f2(a1)))),
% 63.91/63.97     inference(scs_inference,[],[53,124,55,435,140,206,74,88,87,85,84,86,89,83])).
% 63.91/63.97  cnf(492,plain,
% 63.91/63.97     (E(f3(f18(a1,a1),a1),f18(f3(a1,a1),f3(a1,a1)))),
% 63.91/63.97     inference(scs_inference,[],[53,124,55,258,164,165,435,140,206,74,88,87,85,84,86,89,83,3,2])).
% 63.91/63.97  cnf(515,plain,
% 63.91/63.97     (P4(f3(f18(f7(a1),f7(a1)),f4(a1)),a22)),
% 63.91/63.97     inference(scs_inference,[],[126,56,264,92])).
% 63.91/63.97  cnf(519,plain,
% 63.91/63.97     (~E(f18(f18(f4(a1),f4(a1)),f7(a1)),a20)),
% 63.91/63.97     inference(scs_inference,[],[126,56,124,55,264,387,196,92,74,87])).
% 63.91/63.97  cnf(521,plain,
% 63.91/63.97     (P1(f3(f4(a1),f4(a1)))),
% 63.91/63.97     inference(scs_inference,[],[126,56,124,55,264,387,192,196,92,74,87,84])).
% 63.91/63.97  cnf(527,plain,
% 63.91/63.97     (E(f18(f3(a24,a24),f3(a24,a24)),f3(f18(a24,a24),a24))),
% 63.91/63.97     inference(scs_inference,[],[126,56,124,55,264,387,481,192,196,53,92,74,87,84,88,98,105])).
% 63.91/63.97  cnf(529,plain,
% 63.91/63.97     (E(f18(f3(a24,a24),f3(a24,a24)),f3(a24,f18(a24,a24)))),
% 63.91/63.97     inference(scs_inference,[],[126,56,124,55,264,387,481,192,196,53,92,74,87,84,88,98,105,104])).
% 63.91/63.97  cnf(531,plain,
% 63.91/63.97     (P4(f3(f18(f7(a1),f7(a1)),f7(a1)),a23)),
% 63.91/63.97     inference(scs_inference,[],[126,56,124,55,264,387,481,192,196,53,92,74,87,84,88,98,105,104,89])).
% 63.91/63.97  cnf(533,plain,
% 63.91/63.97     (P3(f19(f19(a23,a23),f19(a23,a23)))),
% 63.91/63.97     inference(scs_inference,[],[126,56,124,55,264,387,481,192,254,196,53,92,74,87,84,88,98,105,104,89,85])).
% 63.91/63.97  cnf(537,plain,
% 63.91/63.97     (P1(f18(f4(a1),f4(a1)))),
% 63.91/63.97     inference(scs_inference,[],[126,56,124,55,264,387,481,192,254,196,53,92,74,87,84,88,98,105,104,89,85,99,83])).
% 63.91/63.97  cnf(539,plain,
% 63.91/63.97     (E(f3(f18(a1,a1),f3(a1,a20)),f18(f3(a1,a1),f3(a1,a1)))),
% 63.91/63.97     inference(scs_inference,[],[126,56,124,55,264,492,387,177,481,192,254,196,53,92,74,87,84,88,98,105,104,89,85,99,83,3])).
% 63.91/63.97  cnf(552,plain,
% 63.91/63.97     (E(f18(f2(f4(a1)),f4(a1)),a1)),
% 63.91/63.97     inference(scs_inference,[],[126,56,124,55,264,492,387,177,481,192,254,462,196,53,92,74,87,84,88,98,105,104,89,85,99,83,3,2,68,66,65,62,75,69])).
% 63.91/63.97  cnf(554,plain,
% 63.91/63.97     (P4(f4(a1),x5541)+~E(x5541,f17(a22,a22))),
% 63.91/63.97     inference(scs_inference,[],[54,126,56,124,55,264,492,387,177,481,192,254,462,196,53,92,74,87,84,88,98,105,104,89,85,99,83,3,2,68,66,65,62,75,69,97])).
% 63.91/63.97  cnf(572,plain,
% 63.91/63.97     (P4(f4(a1),f17(a22,a22))),
% 63.91/63.97     inference(equality_inference,[],[554])).
% 63.91/63.97  cnf(575,plain,
% 63.91/63.97     (P1(f2(f18(f4(a1),f4(a1))))),
% 63.91/63.97     inference(scs_inference,[],[537,270,64,60])).
% 63.91/63.97  cnf(577,plain,
% 63.91/63.97     (P4(f3(f18(f4(a1),f4(a1)),f4(a1)),a22)),
% 63.91/63.97     inference(scs_inference,[],[126,56,537,270,64,60,92])).
% 63.91/63.97  cnf(588,plain,
% 63.91/63.97     (E(f18(f3(a1,a1),f3(a1,a1)),f3(f18(a1,a1),f3(a1,a20)))),
% 63.91/63.97     inference(scs_inference,[],[121,126,56,537,539,270,552,52,64,60,92,98,105,99,104,3,2])).
% 63.91/63.97  cnf(608,plain,
% 63.91/63.97     (~E(f18(a1,a20),a1)),
% 63.91/63.97     inference(scs_inference,[],[479,166,167,191,59,3,2])).
% 63.91/63.97  cnf(615,plain,
% 63.91/63.97     (P4(f7(a1),x6151)+~E(x6151,f17(a23,a23))),
% 63.91/63.97     inference(scs_inference,[],[55,124,575,479,166,167,191,272,59,3,2,77,72,71,97])).
% 63.91/63.97  cnf(649,plain,
% 63.91/63.97     (P4(f7(a1),f17(a23,a23))),
% 63.91/63.97     inference(equality_inference,[],[615])).
% 63.91/63.97  cnf(653,plain,
% 63.91/63.97     (E(a1,f3(a1,a20))),
% 63.91/63.97     inference(scs_inference,[],[128,126,588,198,492,87,3,2])).
% 63.91/63.97  cnf(671,plain,
% 63.91/63.97     (P4(f18(f4(a1),f4(a1)),f17(a22,a22))),
% 63.91/63.97     inference(scs_inference,[],[55,128,57,122,126,124,588,487,572,367,369,198,204,492,87,3,2,63,91,40,39,38,34,31,30,26,20,17,6,4,92,95])).
% 63.91/63.97  cnf(684,plain,
% 63.91/63.97     (P2(f17(f19(a22,a22),f19(a22,a22)))),
% 63.91/63.97     inference(scs_inference,[],[483,59])).
% 63.91/63.97  cnf(708,plain,
% 63.91/63.97     (P3(f17(f19(a23,a23),f19(a23,a23)))),
% 63.91/63.97     inference(scs_inference,[],[130,124,483,521,515,473,519,254,134,59,36,33,29,28,27,22,19,18,16,14,12,11,8,7,87,3,2,66,62,86])).
% 63.91/63.97  cnf(742,plain,
% 63.91/63.97     (P3(f17(f17(a22,a22),f17(a22,a22)))),
% 63.91/63.97     inference(scs_inference,[],[204,86])).
% 63.91/63.97  cnf(744,plain,
% 63.91/63.97     (P1(f3(a1,a20))),
% 63.91/63.97     inference(scs_inference,[],[653,204,50,86,42])).
% 63.91/63.97  cnf(746,plain,
% 63.91/63.97     (E(a1,f18(a1,a1))),
% 63.91/63.97     inference(scs_inference,[],[130,653,204,50,86,42,3,2])).
% 63.91/63.97  cnf(747,plain,
% 63.91/63.97     (E(f3(a20,f3(a1,a1)),f3(a1,a1))),
% 63.91/63.97     inference(scs_inference,[],[130,653,208,204,50,86,42,3,2,64])).
% 63.91/63.97  cnf(749,plain,
% 63.91/63.97     (P1(f2(f3(a1,a1)))),
% 63.91/63.97     inference(scs_inference,[],[130,653,208,204,50,86,42,3,2,64,60])).
% 63.91/63.97  cnf(753,plain,
% 63.91/63.97     (P4(f3(f3(a1,a1),f7(a1)),a23)),
% 63.91/63.97     inference(scs_inference,[],[124,130,653,208,204,50,86,42,3,2,64,60,70,89])).
% 63.91/63.97  cnf(755,plain,
% 63.91/63.97     (P4(f3(f3(a1,a1),f4(a1)),a22)),
% 63.91/63.97     inference(scs_inference,[],[126,124,130,653,208,204,50,86,42,3,2,64,60,70,89,88])).
% 63.91/63.97  cnf(759,plain,
% 63.91/63.97     (P1(f3(f3(a1,a1),f3(a1,a1)))),
% 63.91/63.97     inference(scs_inference,[],[126,124,130,684,653,208,204,50,86,42,3,2,64,60,70,89,88,74,84])).
% 63.91/63.97  cnf(761,plain,
% 63.91/63.97     (P1(f18(f3(a1,a1),f3(a1,a1)))),
% 63.91/63.97     inference(scs_inference,[],[126,124,130,684,653,208,204,50,86,42,3,2,64,60,70,89,88,74,84,83])).
% 63.91/63.97  cnf(765,plain,
% 63.91/63.97     (P4(f18(f7(a1),f7(a1)),f17(a23,a23))),
% 63.91/63.97     inference(scs_inference,[],[126,124,130,684,649,653,208,252,204,50,86,42,3,2,64,60,70,89,88,74,84,83,85,95])).
% 63.91/63.97  cnf(782,plain,
% 63.91/63.97     (P4(f3(f3(a1,a20),f4(a1)),a22)),
% 63.91/63.97     inference(scs_inference,[],[126,124,744,84,89,88])).
% 63.91/63.97  cnf(786,plain,
% 63.91/63.97     (P1(f18(f3(a1,a20),f3(a1,a20)))),
% 63.91/63.97     inference(scs_inference,[],[126,124,744,256,55,84,89,88,74,83])).
% 63.91/63.97  cnf(790,plain,
% 63.91/63.97     (~E(a20,f3(a20,a1))),
% 63.91/63.97     inference(scs_inference,[],[132,121,126,124,744,256,204,55,84,89,88,74,83,85,3])).
% 63.91/63.97  cnf(826,plain,
% 63.91/63.97     (~E(f18(f18(f4(a21),f4(a21)),f7(a1)),f18(a1,a20))),
% 63.91/63.97     inference(scs_inference,[],[132,126,753,477,134,24,23,41,37,32,10,9,5,87,3])).
% 63.91/63.97  cnf(827,plain,
% 63.91/63.97     (E(a1,f3(a20,a1))),
% 63.91/63.97     inference(scs_inference,[],[132,126,753,477,134,24,23,41,37,32,10,9,5,87,3,2])).
% 63.91/63.97  cnf(862,plain,
% 63.91/63.97     (E(f3(x8621,f18(a1,a20)),f3(x8621,a20))),
% 63.91/63.97     inference(scs_inference,[],[134,39,38,34,31,20,17,6])).
% 63.91/63.97  cnf(863,plain,
% 63.91/63.97     (~E(f18(f3(f18(f4(a1),f4(a1)),f4(a1)),f7(a1)),a20)),
% 63.91/63.97     inference(scs_inference,[],[134,124,577,39,38,34,31,20,17,6,87])).
% 63.91/63.97  cnf(865,plain,
% 63.91/63.97     (P4(f3(a20,a1),f19(a22,a23))),
% 63.91/63.97     inference(scs_inference,[],[134,122,124,577,827,39,38,34,31,20,17,6,87,43])).
% 63.91/63.97  cnf(867,plain,
% 63.91/63.97     (~E(f18(a1,a20),f18(f18(f4(a21),f4(a21)),f7(a1)))),
% 63.91/63.97     inference(scs_inference,[],[128,134,122,124,826,746,577,827,39,38,34,31,20,17,6,87,43,3,2])).
% 63.91/63.97  cnf(868,plain,
% 63.91/63.97     (P4(f7(f18(f3(a1,a20),f3(a1,a20))),a23)),
% 63.91/63.97     inference(scs_inference,[],[128,134,122,124,786,826,746,577,827,39,38,34,31,20,17,6,87,43,3,2,68])).
% 63.91/63.97  cnf(876,plain,
% 63.91/63.97     (E(f18(f4(a20),f7(a20)),a20)),
% 63.91/63.97     inference(scs_inference,[],[128,134,122,124,786,826,746,577,827,210,51,39,38,34,31,20,17,6,87,43,3,2,68,66,65,62,75])).
% 63.91/63.97  cnf(901,plain,
% 63.91/63.97     (P1(f3(f18(a1,a1),f3(a1,a20)))),
% 63.91/63.97     inference(scs_inference,[],[134,761,588,36,28,27,14,12,42])).
% 63.91/63.97  cnf(904,plain,
% 63.91/63.97     (E(a20,f18(a1,a20))),
% 63.91/63.97     inference(scs_inference,[],[134,761,305,862,588,36,28,27,14,12,42,3,2])).
% 63.91/63.97  cnf(963,plain,
% 63.91/63.97     (P4(f2(f3(a1,a1)),f19(a22,a23))),
% 63.91/63.97     inference(scs_inference,[],[749,790,904,367,429,3,2,113,72,71,61,77])).
% 63.91/63.97  cnf(965,plain,
% 63.91/63.97     (P1(f3(f18(a24,a24),f18(a24,a24)))),
% 63.91/63.97     inference(scs_inference,[],[749,790,904,272,367,429,3,2,113,72,71,61,77,84])).
% 63.91/63.97  cnf(979,plain,
% 63.91/63.97     (P1(f18(f3(a24,a24),f3(a24,a24)))),
% 63.91/63.97     inference(scs_inference,[],[124,965,270,89,83])).
% 63.91/63.97  cnf(983,plain,
% 63.91/63.97     (P1(f3(f3(a24,a24),f3(a24,a24)))),
% 63.91/63.97     inference(scs_inference,[],[124,126,965,270,89,83,88,84])).
% 63.91/63.97  cnf(985,plain,
% 63.91/63.97     (~E(f18(f3(f3(a1,a1),f4(a1)),f7(a1)),a20)),
% 63.91/63.97     inference(scs_inference,[],[124,126,965,755,270,89,83,88,84,87])).
% 63.91/63.97  cnf(987,plain,
% 63.91/63.97     (E(f3(a1,a1),f18(a1,a1))),
% 63.91/63.97     inference(scs_inference,[],[136,124,126,965,755,746,270,89,83,88,84,87,3])).
% 63.91/63.97  cnf(988,plain,
% 63.91/63.97     (E(a1,f3(a1,a1))),
% 63.91/63.97     inference(scs_inference,[],[136,124,126,965,755,746,270,89,83,88,84,87,3,2])).
% 63.91/63.97  cnf(994,plain,
% 63.91/63.97     (P1(f3(a24,f18(a24,a24)))),
% 63.91/63.97     inference(scs_inference,[],[121,136,124,126,965,529,347,755,746,270,248,51,89,83,88,84,87,3,2,377,76,74,42])).
% 63.91/63.97  cnf(1003,plain,
% 63.91/63.97     (E(f18(x10031,f3(a1,a1)),f18(x10031,a1))),
% 63.91/63.97     inference(scs_inference,[],[121,136,122,124,126,965,529,347,755,746,270,386,248,51,89,83,88,84,87,3,2,377,76,74,42,63,24,23,49,90,32,10])).
% 63.91/63.97  cnf(1015,plain,
% 63.91/63.97     (E(f2(f3(a1,a1)),f2(a1))),
% 63.91/63.97     inference(scs_inference,[],[121,136,122,124,126,965,529,347,755,746,270,386,248,51,89,83,88,84,87,3,2,377,76,74,42,63,24,23,49,90,32,10,91,41,40,37,30,26,15,13,9,5,4])).
% 63.91/63.97  cnf(1034,plain,
% 63.91/63.97     (~E(f18(a1,a20),f3(a1,a21))),
% 63.91/63.97     inference(scs_inference,[],[138,124,126,983,963,1015,608,272,89,83,35,25,21,88,43,3])).
% 63.91/63.97  cnf(1071,plain,
% 63.91/63.97     (E(a1,f3(a1,a21))),
% 63.91/63.97     inference(scs_inference,[],[138,124,134,979,867,57,92,3,2])).
% 63.91/63.97  cnf(1072,plain,
% 63.91/63.97     (E(f3(f18(a1,a20),a20),f3(a20,f18(a1,a20)))),
% 63.91/63.97     inference(scs_inference,[],[138,124,134,979,867,904,57,92,3,2,313])).
% 63.91/63.97  cnf(1076,plain,
% 63.91/63.97     (P1(f18(a1,a20))),
% 63.91/63.97     inference(scs_inference,[],[138,124,134,979,867,904,57,92,3,2,313,315,312])).
% 63.91/63.97  cnf(1097,plain,
% 63.91/63.97     (P4(f4(f2(a1)),a22)),
% 63.91/63.97     inference(scs_inference,[],[140,67])).
% 63.91/63.97  cnf(1109,plain,
% 63.91/63.97     (E(f3(a1,a20),f3(a1,a1))),
% 63.91/63.97     inference(scs_inference,[],[140,128,138,126,988,485,1071,122,67,36,28,12,29,22,27,14,87,43,3])).
% 63.91/63.97  cnf(1124,plain,
% 63.91/63.97     (E(f3(a1,f2(a1)),a1)),
% 63.91/63.97     inference(scs_inference,[],[140,128,138,126,1034,988,485,1071,206,122,67,36,28,12,29,22,27,14,87,43,3,2,108,33,19,18,16,11,8,7,71,72,61])).
% 63.91/63.97  cnf(1145,plain,
% 63.91/63.97     (~E(f18(a1,a20),f3(a1,a20))),
% 63.91/63.97     inference(scs_inference,[],[124,128,901,782,177,608,42,87,3])).
% 63.91/63.97  cnf(1146,plain,
% 63.91/63.97     (E(f18(a1,a1),f3(a1,a1))),
% 63.91/63.97     inference(scs_inference,[],[124,128,987,901,782,177,608,42,87,3,2])).
% 63.91/63.97  cnf(1149,plain,
% 63.91/63.97     (~E(f3(f18(a1,a20),f18(a1,a20)),a1)),
% 63.91/63.97     inference(scs_inference,[],[124,128,987,901,1076,782,177,608,386,42,87,3,2,118,76])).
% 63.91/63.97  cnf(1151,plain,
% 63.91/63.97     (P4(f3(f2(a1),f18(f7(a1),f7(a1))),f17(a23,a23))),
% 63.91/63.97     inference(scs_inference,[],[124,128,140,987,901,1076,782,765,177,608,252,386,42,87,3,2,118,76,92])).
% 63.91/63.97  cnf(1175,plain,
% 63.91/63.97     (P1(f3(f18(a1,a20),f18(a1,a20)))),
% 63.91/63.97     inference(scs_inference,[],[132,138,1076,13,10,9,5,4,84])).
% 63.91/63.97  cnf(1183,plain,
% 63.91/63.97     (~E(f3(f18(a1,a20),a20),a1)),
% 63.91/63.97     inference(scs_inference,[],[132,138,1149,862,1076,13,10,9,5,4,84,41,40,37,30,26,15,3])).
% 63.91/63.97  cnf(1190,plain,
% 63.91/63.97     (P4(f3(f2(a1),f4(a1)),a22)),
% 63.91/63.97     inference(scs_inference,[],[126,140,132,138,1151,1145,1149,862,1076,56,248,429,13,10,9,5,4,84,41,40,37,30,26,15,3,2,117,74,92])).
% 63.91/63.97  cnf(1192,plain,
% 63.91/63.97     (P4(f7(f2(a1)),a23)),
% 63.91/63.97     inference(scs_inference,[],[126,140,132,138,1151,1145,1149,862,1076,56,248,429,13,10,9,5,4,84,41,40,37,30,26,15,3,2,117,74,92,68])).
% 63.91/63.97  cnf(1200,plain,
% 63.91/63.97     (E(f3(f2(a1),a1),a1)),
% 63.91/63.97     inference(scs_inference,[],[126,140,132,138,1151,1145,1149,862,1076,56,248,429,13,10,9,5,4,84,41,40,37,30,26,15,3,2,117,74,92,68,112,66,65,62])).
% 63.91/63.97  cnf(1212,plain,
% 63.91/63.97     (P1(f18(f18(a1,a20),f18(a1,a20)))),
% 63.91/63.97     inference(scs_inference,[],[126,140,136,132,138,742,1151,1145,1149,387,862,1076,56,248,429,13,10,9,5,4,84,41,40,37,30,26,15,3,2,117,74,92,68,112,66,65,62,69,111,59,89,38,17,83])).
% 63.91/63.97  cnf(1221,plain,
% 63.91/63.97     (E(f3(x12211,f3(a1,a1)),f3(x12211,a1))),
% 63.91/63.97     inference(scs_inference,[],[126,140,136,132,138,742,1151,1145,1149,1097,387,862,1076,56,248,429,13,10,9,5,4,84,41,40,37,30,26,15,3,2,117,74,92,68,112,66,65,62,69,111,59,89,38,17,83,35,88,39,34,31,20,6])).
% 63.91/63.97  cnf(1234,plain,
% 63.91/63.97     (P1(f18(f18(a1,a1),f18(a1,a1)))),
% 63.91/63.97     inference(scs_inference,[],[210,83])).
% 63.91/63.97  cnf(1236,plain,
% 63.91/63.97     (P1(f3(f7(a1),f7(a1)))),
% 63.91/63.97     inference(scs_inference,[],[473,210,83,84])).
% 63.91/63.97  cnf(1240,plain,
% 63.91/63.97     (P1(f3(f18(a24,a24),a24))),
% 63.91/63.97     inference(scs_inference,[],[126,1175,527,979,473,210,83,84,88,42])).
% 63.91/63.97  cnf(1261,plain,
% 63.91/63.97     (~E(f3(f18(a1,a20),a20),f3(a1,a20))),
% 63.91/63.97     inference(scs_inference,[],[128,1183,3])).
% 63.91/63.97  cnf(1271,plain,
% 63.91/63.97     (P4(f3(f7(a1),f7(a1)),f19(a22,a23))),
% 63.91/63.97     inference(scs_inference,[],[128,1236,464,1183,1076,53,3,2,71,72,61,109,77])).
% 63.91/63.97  cnf(1273,plain,
% 63.91/63.97     (P4(f4(f3(f7(a1),f7(a1))),a22)),
% 63.91/63.97     inference(scs_inference,[],[128,1236,464,1183,1076,53,3,2,71,72,61,109,77,67])).
% 63.91/63.97  cnf(1291,plain,
% 63.91/63.97     (P2(f17(f17(a23,a23),f17(a23,a23)))),
% 63.91/63.97     inference(scs_inference,[],[464,59])).
% 63.91/63.97  cnf(1296,plain,
% 63.91/63.97     (E(f19(x12961,f3(a1,a1)),f19(x12961,a1))),
% 63.91/63.97     inference(scs_inference,[],[136,464,59,33,16,29,8])).
% 63.91/63.97  cnf(1304,plain,
% 63.91/63.97     (~E(f3(a20,f18(a1,a20)),f3(a1,a20))),
% 63.91/63.97     inference(scs_inference,[],[136,1261,1072,1190,464,54,59,33,16,29,8,27,74,19,18,11,7,3])).
% 63.91/63.97  cnf(1334,plain,
% 63.91/63.97     (E(f18(a1,a1),f3(a1,a21))),
% 63.91/63.97     inference(scs_inference,[],[130,140,1192,1071,57,24,92,3])).
% 63.91/63.97  cnf(1335,plain,
% 63.91/63.97     (~E(f3(a1,a20),f3(a20,f18(a1,a20)))),
% 63.91/63.97     inference(scs_inference,[],[130,140,1304,1192,1071,57,24,92,3,2])).
% 63.91/63.97  cnf(1369,plain,
% 63.91/63.97     (E(f18(x13691,f18(a1,a1)),f18(x13691,a1))),
% 63.91/63.97     inference(scs_inference,[],[130,17,9,35,38,20,6,40,30,4,15,13,10])).
% 63.91/63.97  cnf(1376,plain,
% 63.91/63.97     (P4(f3(f2(a1),f18(f4(a1),f4(a1))),f17(a22,a22))),
% 63.91/63.97     inference(scs_inference,[],[130,140,671,204,17,9,35,38,20,6,40,30,4,15,13,10,5,21,39,34,31,26,92])).
% 63.91/63.97  cnf(1378,plain,
% 63.91/63.97     (~E(f3(f18(a1,a20),f18(a1,a20)),f18(a1,a1))),
% 63.91/63.97     inference(scs_inference,[],[130,140,671,1149,204,17,9,35,38,20,6,40,30,4,15,13,10,5,21,39,34,31,26,92,3])).
% 63.91/63.97  cnf(1380,plain,
% 63.91/63.97     (P1(f2(f18(f18(a1,a20),f18(a1,a20))))),
% 63.91/63.97     inference(scs_inference,[],[130,144,140,1212,671,1149,204,17,9,35,38,20,6,40,30,4,15,13,10,5,21,39,34,31,26,92,3,2,60])).
% 63.91/63.97  cnf(1426,plain,
% 63.91/63.97     (P1(f3(f18(a1,a1),f18(a1,a1)))),
% 63.91/63.97     inference(scs_inference,[],[1376,210,248,74,84])).
% 63.91/63.97  cnf(1428,plain,
% 63.91/63.97     (P1(f18(f2(a21),f2(a21)))),
% 63.91/63.97     inference(scs_inference,[],[1376,210,367,248,74,84,83])).
% 63.91/63.97  cnf(1430,plain,
% 63.91/63.97     (~E(f3(f18(a1,a20),a20),f18(a1,a1))),
% 63.91/63.97     inference(scs_inference,[],[1378,1376,862,210,367,248,74,84,83,3])).
% 63.91/63.97  cnf(1432,plain,
% 63.91/63.97     (~E(f18(a1,a1),f3(f18(a1,a20),f18(a1,a20)))),
% 63.91/63.97     inference(scs_inference,[],[1378,1376,862,210,367,248,74,84,83,3,2])).
% 63.91/63.97  cnf(1462,plain,
% 63.91/63.97     (~P4(f7(a20),a23)+~P4(f4(a20),a22)),
% 63.91/63.97     inference(scs_inference,[],[132,140,136,1378,1380,1240,876,1376,1296,531,865,1291,862,254,210,367,429,386,248,55,74,84,83,3,2,71,61,77,72,67,28,36,14,22,12,91,118,108,90,97,95,45,87])).
% 63.91/63.97  cnf(1504,plain,
% 63.91/63.97     (~E(f18(a1,a1),f18(a1,a20))),
% 63.91/63.97     inference(scs_inference,[],[134,140,351,198,89,3])).
% 63.91/63.97  cnf(1505,plain,
% 63.91/63.97     (~E(f18(a1,a1),f3(f18(a1,a20),a20))),
% 63.91/63.97     inference(scs_inference,[],[134,140,1430,351,198,89,3,2])).
% 63.91/63.97  cnf(1512,plain,
% 63.91/63.97     (E(f3(f18(a1,a20),a20),f18(a1,a20))),
% 63.91/63.97     inference(scs_inference,[],[134,140,1426,1430,351,198,270,1076,89,3,2,68,65,69,66])).
% 63.91/63.97  cnf(1534,plain,
% 63.91/63.97     (~E(f3(a1,a21),f3(f18(a1,a20),f18(a1,a20)))),
% 63.91/63.97     inference(scs_inference,[],[1432,1334,3])).
% 63.91/63.97  cnf(1536,plain,
% 63.91/63.97     (P1(f2(f18(f2(a21),f2(a21))))),
% 63.91/63.97     inference(scs_inference,[],[1428,1432,302,1334,3,2,60])).
% 63.91/63.97  cnf(1542,plain,
% 63.91/63.97     (P2(f19(f19(a23,a23),f19(a23,a23)))),
% 63.91/63.97     inference(scs_inference,[],[1428,1432,302,1334,533,473,3,2,60,64,70,59])).
% 63.91/63.97  cnf(1545,plain,
% 63.91/63.97     (E(f18(f18(a1,a20),x15451),f18(a20,x15451))),
% 63.91/63.97     inference(scs_inference,[],[134,1428,1432,302,1124,1334,533,473,3,2,60,64,70,59,17,9])).
% 63.91/63.97  cnf(1551,plain,
% 63.91/63.97     (E(f3(f18(a1,a20),x15511),f3(a20,x15511))),
% 63.91/63.97     inference(scs_inference,[],[134,1428,1432,302,1124,1334,533,473,3,2,60,64,70,59,17,9,35,20,40,4,15,5])).
% 63.91/63.97  cnf(1579,plain,
% 63.91/63.97     (~E(f3(a20,a20),a1)),
% 63.91/63.97     inference(scs_inference,[],[121,51,76])).
% 63.91/63.97  cnf(1581,plain,
% 63.91/63.97     (E(f3(a1,a1),f3(a20,a1))),
% 63.91/63.97     inference(scs_inference,[],[136,827,121,51,76,3])).
% 63.91/63.97  cnf(1589,plain,
% 63.91/63.97     (P4(f2(f18(f2(a21),f2(a21))),f19(a22,a23))),
% 63.91/63.97     inference(scs_inference,[],[136,1536,994,1504,827,744,121,51,76,3,2,71,61,72,77])).
% 63.91/63.97  cnf(1591,plain,
% 63.91/63.97     (P4(f4(f3(a24,f18(a24,a24))),a22)),
% 63.91/63.97     inference(scs_inference,[],[136,1536,994,1504,827,744,121,51,76,3,2,71,61,72,77,67])).
% 63.91/63.97  cnf(1596,plain,
% 63.91/63.97     (P1(f18(a20,a20))),
% 63.91/63.97     inference(scs_inference,[],[136,1536,994,1504,1200,827,744,121,51,76,3,2,71,61,72,77,67,36,28,14,83])).
% 63.91/63.97  cnf(1622,plain,
% 63.91/63.97     (P1(f4(f3(f7(a1),f7(a1))))),
% 63.91/63.97     inference(scs_inference,[],[1273,54,74])).
% 63.91/63.97  cnf(1624,plain,
% 63.91/63.97     (P1(f3(f18(a20,a20),f18(a20,a20)))),
% 63.91/63.97     inference(scs_inference,[],[1596,1273,54,74,84])).
% 63.91/63.97  cnf(1628,plain,
% 63.91/63.97     (P1(f3(f3(a1,a1),a1))),
% 63.91/63.97     inference(scs_inference,[],[1596,1221,1273,759,54,74,84,83,42])).
% 63.91/63.97  cnf(1630,plain,
% 63.91/63.97     (~E(f3(a20,a20),f3(a1,a1))),
% 63.91/63.97     inference(scs_inference,[],[136,1596,1579,1221,1273,759,54,74,84,83,42,3])).
% 63.91/63.97  cnf(1638,plain,
% 63.91/63.97     (E(f15(x16381,f3(a1,a1),x16382),f15(x16381,f3(a20,a1),x16382))),
% 63.91/63.97     inference(scs_inference,[],[136,147,138,1596,1579,1221,1581,1273,759,54,74,84,83,42,3,2,63,32,23,16,8,33])).
% 63.91/63.97  cnf(1660,plain,
% 63.91/63.97     (~E(f3(a20,a20),f3(a20,f3(a1,a1)))),
% 63.91/63.97     inference(scs_inference,[],[1630,747,3])).
% 63.91/63.97  cnf(1661,plain,
% 63.91/63.97     (~E(f3(a1,a1),f3(a20,a20))),
% 63.91/63.97     inference(scs_inference,[],[1630,747,3,2])).
% 63.91/63.97  cnf(1662,plain,
% 63.91/63.97     (P4(f7(f3(f18(a20,a20),f18(a20,a20))),a23)),
% 63.91/63.97     inference(scs_inference,[],[1624,1630,747,3,2,68])).
% 63.91/63.97  cnf(1667,plain,
% 63.91/63.97     (~E(f3(f18(a1,a20),f3(f18(a1,a20),f18(a1,a20))),a1)),
% 63.91/63.97     inference(scs_inference,[],[1624,1630,1589,747,1175,1149,608,1076,248,3,2,68,90,6,76])).
% 63.91/63.97  cnf(1690,plain,
% 63.91/63.97     (P2(f19(a23,a23))),
% 63.91/63.97     inference(scs_inference,[],[140,782,254,88,59])).
% 63.91/63.97  cnf(1693,plain,
% 63.91/63.97     (P1(f3(a1,f3(a1,a1)))),
% 63.91/63.97     inference(scs_inference,[],[140,274,1628,186,782,254,88,59,6,42])).
% 63.91/63.97  cnf(1694,plain,
% 63.91/63.97     (E(f3(a1,a21),f3(a1,a1))),
% 63.91/63.97     inference(scs_inference,[],[138,140,274,1628,186,782,988,254,88,59,6,42,3])).
% 63.91/63.97  cnf(1756,plain,
% 63.91/63.97     (P4(f4(f3(f7(a1),f7(a1))),f19(a22,a23))),
% 63.91/63.97     inference(scs_inference,[],[149,1622,1661,1690,1693,1638,1660,1271,1596,3,2,117,6,100,113,118,71,61,77])).
% 63.91/63.97  cnf(1762,plain,
% 63.91/63.97     (E(f12(x17621,f3(a1,a21),x17622,x17623),f12(x17621,f3(a1,a1),x17622,x17623))),
% 63.91/63.97     inference(scs_inference,[],[149,1622,1661,1690,1693,1638,1660,1694,1271,1596,3,2,117,6,100,113,118,71,61,77,72,67,36])).
% 63.91/63.97  cnf(1781,plain,
% 63.91/63.97     (~E(f3(a1,a1),f3(f18(a1,a20),a20))),
% 63.91/63.97     inference(scs_inference,[],[140,1505,188,1146,485,57,92,6,3])).
% 63.91/63.97  cnf(1820,plain,
% 63.91/63.97     (P1(f3(f2(a21),f2(a21)))),
% 63.91/63.97     inference(scs_inference,[],[1591,367,54,74,84])).
% 63.91/63.97  cnf(1822,plain,
% 63.91/63.97     (P1(f18(a21,a21))),
% 63.91/63.97     inference(scs_inference,[],[1591,367,52,54,74,84,83])).
% 63.91/63.97  cnf(1827,plain,
% 63.91/63.97     (~E(f3(f18(a1,a20),a20),f3(a1,a1))),
% 63.91/63.97     inference(scs_inference,[],[150,149,1781,1591,367,52,54,74,84,83,3,2])).
% 63.91/63.97  cnf(1868,plain,
% 63.91/63.97     (P1(f2(f3(f2(a21),f2(a21))))),
% 63.91/63.97     inference(scs_inference,[],[148,146,150,1820,357,89,3,2,60])).
% 63.91/63.97  cnf(1877,plain,
% 63.91/63.97     (P1(f18(a20,f18(a1,a20)))),
% 63.91/63.97     inference(scs_inference,[],[148,146,150,1820,1822,1756,1545,359,1212,357,1690,89,3,2,60,64,70,90,6,42])).
% 63.91/63.97  cnf(1906,plain,
% 63.91/63.97     (E(f17(f18(a21,a1),x19061),f17(a21,x19061))),
% 63.91/63.97     inference(scs_inference,[],[361,39,31,41,37,38,5,30])).
% 63.91/63.97  cnf(1908,plain,
% 63.91/63.97     (~E(f18(a1,a20),f3(a1,a1))),
% 63.91/63.97     inference(scs_inference,[],[1827,1512,361,39,31,41,37,38,5,30,13,3])).
% 63.91/63.97  cnf(1909,plain,
% 63.91/63.97     (~E(f3(f18(a1,a20),f18(a1,a20)),f3(a1,a21))),
% 63.91/63.97     inference(scs_inference,[],[1827,1512,1534,361,39,31,41,37,38,5,30,13,3,2])).
% 63.91/63.97  cnf(1914,plain,
% 63.91/63.97     (P4(f2(f3(f2(a21),f2(a21))),f19(a22,a23))),
% 63.91/63.97     inference(scs_inference,[],[1868,1827,1877,1512,1534,361,1822,39,31,41,37,38,5,30,13,3,2,71,61,77])).
% 63.91/63.97  cnf(1916,plain,
% 63.91/63.97     (P4(f4(f18(a20,f18(a1,a20))),a22)),
% 63.91/63.97     inference(scs_inference,[],[1868,1827,1877,1512,1534,361,1822,39,31,41,37,38,5,30,13,3,2,71,61,77,67])).
% 63.91/63.97  cnf(1949,plain,
% 63.91/63.97     (E(f15(f3(a1,a20),x19491,x19492),f15(a1,x19491,x19492))),
% 63.91/63.97     inference(rename_variables,[],[151])).
% 63.91/63.97  cnf(1956,plain,
% 63.91/63.97     (P1(f18(f3(a1,a1),a1))),
% 63.91/63.97     inference(scs_inference,[],[151,1949,150,1914,1003,363,1822,761,1690,22,14,12,3,2,63,91,42])).
% 63.91/63.97  cnf(1997,plain,
% 63.91/63.97     (P1(f18(f18(a21,a21),f18(a21,a21)))),
% 63.91/63.97     inference(scs_inference,[],[148,147,1908,1956,365,1822,3,2,68,69,66,62,65,24,83])).
% 63.91/63.97  cnf(2001,plain,
% 63.91/63.97     (~P4(x20011,f17(f17(a23,a23),f17(a23,a23)))+P4(f3(f18(a21,a21),x20011),f17(f17(a23,a23),f17(a23,a23)))),
% 63.91/63.97     inference(scs_inference,[],[148,147,1908,1956,365,464,1822,3,2,68,69,66,62,65,24,83,84,92])).
% 63.91/63.97  cnf(2017,plain,
% 63.91/63.97     (P1(f3(a20,a20))),
% 63.91/63.97     inference(scs_inference,[],[1997,1916,395,51,54,88,74,84])).
% 63.91/63.97  cnf(2042,plain,
% 63.91/63.97     (P1(f18(f3(a20,a20),f3(a20,a20)))),
% 63.91/63.97     inference(scs_inference,[],[152,1997,1335,1906,1916,433,1109,395,1579,1542,272,51,54,88,74,84,3,2,60,64,70,35,17,15,10,21,40,4,9,34,20,81,76,83])).
% 63.91/63.97  cnf(2044,plain,
% 63.91/63.97     (P4(f7(f3(f18(a20,a20),f18(a20,a20))),x20441)+~E(x20441,f17(a23,a23))),
% 63.91/63.97     inference(scs_inference,[],[152,1997,1335,1906,1662,1916,433,1109,395,1579,1542,272,51,54,55,88,74,84,3,2,60,64,70,35,17,15,10,21,40,4,9,34,20,81,76,83,97])).
% 63.91/63.97  cnf(2052,plain,
% 63.91/63.97     (P4(f7(f3(f18(a20,a20),f18(a20,a20))),f17(a23,a23))),
% 63.91/63.97     inference(equality_inference,[],[2044])).
% 63.91/63.97  cnf(2101,plain,
% 63.91/63.97     (P1(f7(f3(f18(a20,a20),f18(a20,a20))))),
% 63.91/63.97     inference(scs_inference,[],[145,147,153,2052,2017,429,3,2,63,74])).
% 63.91/63.97  cnf(2133,plain,
% 63.91/63.97     (~E(a1,f3(f18(a1,a20),f3(f18(a1,a20),f18(a1,a20))))),
% 63.91/63.97     inference(scs_inference,[],[1551,1909,1667,3,2])).
% 63.91/63.97  cnf(2135,plain,
% 63.91/63.97     (P1(f18(f18(a1,a1),a1))),
% 63.91/63.97     inference(scs_inference,[],[146,1369,1551,1909,1667,1234,3,2,47,42])).
% 63.91/63.97  cnf(2199,plain,
% 63.91/63.97     (P1(f3(f3(a20,a20),f3(a20,a20)))),
% 63.91/63.97     inference(scs_inference,[],[2135,1200,2017,60,64,70,35,17,10,21,15,9,34,20,40,4,84])).
% 63.91/63.97  cnf(2247,plain,
% 63.91/63.97     (P1(f3(a21,a21))),
% 63.91/63.97     inference(scs_inference,[],[2101,2199,371,473,52,71,67,61,77,72,36,28,41,38,39,31,37,5,30,13,25,84])).
% 63.91/63.97  cnf(2249,plain,
% 63.91/63.97     (~E(f3(a1,a21),f3(f18(a1,a20),f3(f18(a1,a20),f18(a1,a20))))),
% 63.91/63.97     inference(scs_inference,[],[2101,2199,2133,371,1071,473,52,71,67,61,77,72,36,28,41,38,39,31,37,5,30,13,25,84,3])).
% 63.91/63.97  cnf(2290,plain,
% 63.91/63.97     (P1(f18(f3(a21,a21),f3(a21,a21)))),
% 63.91/63.97     inference(scs_inference,[],[2247,83])).
% 63.91/63.97  cnf(2299,plain,
% 63.91/63.97     (~E(f3(f18(a1,a20),f3(f18(a1,a20),f18(a1,a20))),f3(a1,a21))),
% 63.91/63.97     inference(scs_inference,[],[148,2247,1762,2249,2042,302,365,83,18,29,11,42,3,2])).
% 63.91/63.97  cnf(2355,plain,
% 63.91/63.97     (P4(f7(f3(f18(a20,a20),f18(a20,a20))),x23551)+~E(x23551,f17(f17(a23,a23),f17(a23,a23)))),
% 63.91/63.97     inference(scs_inference,[],[2290,2299,863,2052,1551,395,357,2247,429,3,2,89,60,88,64,70,97])).
% 63.91/63.97  cnf(2382,plain,
% 63.91/63.97     (P4(f7(f3(f18(a20,a20),f18(a20,a20))),f17(f17(a23,a23),f17(a23,a23)))),
% 63.91/63.97     inference(equality_inference,[],[2355])).
% 63.91/63.97  cnf(3368,plain,
% 63.91/63.97     (~P4(f4(a20),a22)),
% 63.91/63.97     inference(scs_inference,[],[51,134,126,124,194,868,200,2382,138,140,52,53,414,121,57,56,708,2290,2,64,377,2001,3,88,89,85,93,94,95,92,104,105,18,29,62,72,69,66,71,63,59,65,68,75,1462])).
% 63.91/63.97  cnf(3396,plain,
% 63.91/63.97     ($false),
% 63.91/63.97     inference(scs_inference,[],[51,3368,985,2,77,67]),
% 63.91/63.97     ['proof']).
% 63.91/63.97  % SZS output end Proof
% 63.91/63.97  % Total time :63.320000s
%------------------------------------------------------------------------------