TSTP Solution File: RNG112+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : RNG112+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n032.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 13:48:13 EDT 2023

% Result   : Theorem 2.35s 2.43s
% Output   : CNFRefutation 2.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : RNG112+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Sun Aug 27 01:58:00 EDT 2023
% 0.11/0.30  % CPUTime    : 
% 0.15/0.48  start to proof:theBenchmark
% 2.29/2.41  %-------------------------------------------
% 2.29/2.41  % File        :CSE---1.6
% 2.29/2.41  % Problem     :theBenchmark
% 2.29/2.41  % Transform   :cnf
% 2.29/2.41  % Format      :tptp:raw
% 2.29/2.41  % Command     :java -jar mcs_scs.jar %d %s
% 2.29/2.41  
% 2.29/2.41  % Result      :Theorem 1.860000s
% 2.29/2.41  % Output      :CNFRefutation 1.860000s
% 2.29/2.41  %-------------------------------------------
% 2.29/2.41  %------------------------------------------------------------------------------
% 2.29/2.41  % File     : RNG112+1 : TPTP v8.1.2. Released v4.0.0.
% 2.29/2.41  % Domain   : Ring Theory
% 2.29/2.41  % Problem  : Chinese remainder theorem in a ring 07_04_02, 00 expansion
% 2.29/2.41  % Version  : Especial.
% 2.29/2.41  % English  :
% 2.29/2.41  
% 2.29/2.41  % Refs     : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 2.29/2.41  %          : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 2.29/2.41  % Source   : [Pas08]
% 2.29/2.41  % Names    : chines_07_04_02.00 [Pas08]
% 2.29/2.41  
% 2.29/2.41  % Status   : Theorem
% 2.29/2.41  % Rating   : 0.28 v8.1.0, 0.25 v7.5.0, 0.28 v7.4.0, 0.17 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.26 v7.0.0, 0.27 v6.4.0, 0.31 v6.3.0, 0.21 v6.2.0, 0.28 v6.1.0, 0.47 v6.0.0, 0.43 v5.5.0, 0.56 v5.4.0, 0.57 v5.3.0, 0.59 v5.2.0, 0.50 v5.1.0, 0.57 v5.0.0, 0.71 v4.1.0, 0.74 v4.0.1, 0.83 v4.0.0
% 2.29/2.41  % Syntax   : Number of formulae    :   46 (   4 unt;   9 def)
% 2.29/2.41  %            Number of atoms       :  177 (  40 equ)
% 2.29/2.41  %            Maximal formula atoms :    9 (   3 avg)
% 2.29/2.41  %            Number of connectives :  145 (  14   ~;   2   |;  66   &)
% 2.29/2.41  %                                         (  12 <=>;  51  =>;   0  <=;   0 <~>)
% 2.29/2.41  %            Maximal formula depth :   13 (   6 avg)
% 2.29/2.41  %            Maximal term depth    :    3 (   1 avg)
% 2.29/2.41  %            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
% 2.29/2.41  %            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
% 2.29/2.41  %            Number of variables   :   90 (  80   !;  10   ?)
% 2.29/2.41  % SPC      : FOF_THM_RFO_SEQ
% 2.29/2.41  
% 2.29/2.41  % Comments : Problem generated by the SAD system [VLP07]
% 2.29/2.41  %------------------------------------------------------------------------------
% 2.29/2.41  fof(mElmSort,axiom,
% 2.29/2.41      ! [W0] :
% 2.29/2.41        ( aElement0(W0)
% 2.29/2.41       => $true ) ).
% 2.29/2.41  
% 2.29/2.41  fof(mSortsC,axiom,
% 2.29/2.41      aElement0(sz00) ).
% 2.29/2.41  
% 2.29/2.41  fof(mSortsC_01,axiom,
% 2.29/2.41      aElement0(sz10) ).
% 2.29/2.41  
% 2.29/2.41  fof(mSortsU,axiom,
% 2.29/2.41      ! [W0] :
% 2.29/2.41        ( aElement0(W0)
% 2.29/2.41       => aElement0(smndt0(W0)) ) ).
% 2.29/2.41  
% 2.29/2.41  fof(mSortsB,axiom,
% 2.29/2.41      ! [W0,W1] :
% 2.29/2.41        ( ( aElement0(W0)
% 2.29/2.41          & aElement0(W1) )
% 2.29/2.41       => aElement0(sdtpldt0(W0,W1)) ) ).
% 2.29/2.41  
% 2.29/2.41  fof(mSortsB_02,axiom,
% 2.29/2.41      ! [W0,W1] :
% 2.29/2.41        ( ( aElement0(W0)
% 2.29/2.41          & aElement0(W1) )
% 2.29/2.41       => aElement0(sdtasdt0(W0,W1)) ) ).
% 2.29/2.41  
% 2.29/2.41  fof(mAddComm,axiom,
% 2.29/2.41      ! [W0,W1] :
% 2.29/2.41        ( ( aElement0(W0)
% 2.29/2.41          & aElement0(W1) )
% 2.29/2.41       => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 2.29/2.41  
% 2.29/2.41  fof(mAddAsso,axiom,
% 2.29/2.41      ! [W0,W1,W2] :
% 2.29/2.41        ( ( aElement0(W0)
% 2.29/2.41          & aElement0(W1)
% 2.29/2.41          & aElement0(W2) )
% 2.29/2.41       => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 2.29/2.41  
% 2.29/2.42  fof(mAddZero,axiom,
% 2.29/2.42      ! [W0] :
% 2.29/2.42        ( aElement0(W0)
% 2.29/2.42       => ( sdtpldt0(W0,sz00) = W0
% 2.29/2.42          & W0 = sdtpldt0(sz00,W0) ) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mAddInvr,axiom,
% 2.29/2.42      ! [W0] :
% 2.29/2.42        ( aElement0(W0)
% 2.29/2.42       => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 2.29/2.42          & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mMulComm,axiom,
% 2.29/2.42      ! [W0,W1] :
% 2.29/2.42        ( ( aElement0(W0)
% 2.29/2.42          & aElement0(W1) )
% 2.29/2.42       => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mMulAsso,axiom,
% 2.29/2.42      ! [W0,W1,W2] :
% 2.29/2.42        ( ( aElement0(W0)
% 2.29/2.42          & aElement0(W1)
% 2.29/2.42          & aElement0(W2) )
% 2.29/2.42       => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mMulUnit,axiom,
% 2.29/2.42      ! [W0] :
% 2.29/2.42        ( aElement0(W0)
% 2.29/2.42       => ( sdtasdt0(W0,sz10) = W0
% 2.29/2.42          & W0 = sdtasdt0(sz10,W0) ) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mAMDistr,axiom,
% 2.29/2.42      ! [W0,W1,W2] :
% 2.29/2.42        ( ( aElement0(W0)
% 2.29/2.42          & aElement0(W1)
% 2.29/2.42          & aElement0(W2) )
% 2.29/2.42       => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 2.29/2.42          & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mMulMnOne,axiom,
% 2.29/2.42      ! [W0] :
% 2.29/2.42        ( aElement0(W0)
% 2.29/2.42       => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 2.29/2.42          & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mMulZero,axiom,
% 2.29/2.42      ! [W0] :
% 2.29/2.42        ( aElement0(W0)
% 2.29/2.42       => ( sdtasdt0(W0,sz00) = sz00
% 2.29/2.42          & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mCancel,axiom,
% 2.29/2.42      ! [W0,W1] :
% 2.29/2.42        ( ( aElement0(W0)
% 2.29/2.42          & aElement0(W1) )
% 2.29/2.42       => ( sdtasdt0(W0,W1) = sz00
% 2.29/2.42         => ( W0 = sz00
% 2.29/2.42            | W1 = sz00 ) ) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mUnNeZr,axiom,
% 2.29/2.42      sz10 != sz00 ).
% 2.29/2.42  
% 2.29/2.42  fof(mSetSort,axiom,
% 2.29/2.42      ! [W0] :
% 2.29/2.42        ( aSet0(W0)
% 2.29/2.42       => $true ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mEOfElem,axiom,
% 2.29/2.42      ! [W0] :
% 2.29/2.42        ( aSet0(W0)
% 2.29/2.42       => ! [W1] :
% 2.29/2.42            ( aElementOf0(W1,W0)
% 2.29/2.42           => aElement0(W1) ) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mSetEq,axiom,
% 2.29/2.42      ! [W0,W1] :
% 2.29/2.42        ( ( aSet0(W0)
% 2.29/2.42          & aSet0(W1) )
% 2.29/2.42       => ( ( ! [W2] :
% 2.29/2.42                ( aElementOf0(W2,W0)
% 2.29/2.42               => aElementOf0(W2,W1) )
% 2.29/2.42            & ! [W2] :
% 2.29/2.42                ( aElementOf0(W2,W1)
% 2.29/2.42               => aElementOf0(W2,W0) ) )
% 2.29/2.42         => W0 = W1 ) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mDefSSum,definition,
% 2.29/2.42      ! [W0,W1] :
% 2.29/2.42        ( ( aSet0(W0)
% 2.29/2.42          & aSet0(W1) )
% 2.29/2.42       => ! [W2] :
% 2.29/2.42            ( W2 = sdtpldt1(W0,W1)
% 2.29/2.42          <=> ( aSet0(W2)
% 2.29/2.42              & ! [W3] :
% 2.29/2.42                  ( aElementOf0(W3,W2)
% 2.29/2.42                <=> ? [W4,W5] :
% 2.29/2.42                      ( aElementOf0(W4,W0)
% 2.29/2.42                      & aElementOf0(W5,W1)
% 2.29/2.42                      & sdtpldt0(W4,W5) = W3 ) ) ) ) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mDefSInt,definition,
% 2.29/2.42      ! [W0,W1] :
% 2.29/2.42        ( ( aSet0(W0)
% 2.29/2.42          & aSet0(W1) )
% 2.29/2.42       => ! [W2] :
% 2.29/2.42            ( W2 = sdtasasdt0(W0,W1)
% 2.29/2.42          <=> ( aSet0(W2)
% 2.29/2.42              & ! [W3] :
% 2.29/2.42                  ( aElementOf0(W3,W2)
% 2.29/2.42                <=> ( aElementOf0(W3,W0)
% 2.29/2.42                    & aElementOf0(W3,W1) ) ) ) ) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mDefIdeal,definition,
% 2.29/2.42      ! [W0] :
% 2.29/2.42        ( aIdeal0(W0)
% 2.29/2.42      <=> ( aSet0(W0)
% 2.29/2.42          & ! [W1] :
% 2.29/2.42              ( aElementOf0(W1,W0)
% 2.29/2.42             => ( ! [W2] :
% 2.29/2.42                    ( aElementOf0(W2,W0)
% 2.29/2.42                   => aElementOf0(sdtpldt0(W1,W2),W0) )
% 2.29/2.42                & ! [W2] :
% 2.29/2.42                    ( aElement0(W2)
% 2.29/2.42                   => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mIdeSum,axiom,
% 2.29/2.42      ! [W0,W1] :
% 2.29/2.42        ( ( aIdeal0(W0)
% 2.29/2.42          & aIdeal0(W1) )
% 2.29/2.42       => aIdeal0(sdtpldt1(W0,W1)) ) ).
% 2.29/2.42  
% 2.29/2.42  fof(mIdeInt,axiom,
% 2.35/2.42      ! [W0,W1] :
% 2.35/2.42        ( ( aIdeal0(W0)
% 2.35/2.42          & aIdeal0(W1) )
% 2.35/2.42       => aIdeal0(sdtasasdt0(W0,W1)) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(mDefMod,definition,
% 2.35/2.42      ! [W0,W1,W2] :
% 2.35/2.42        ( ( aElement0(W0)
% 2.35/2.42          & aElement0(W1)
% 2.35/2.42          & aIdeal0(W2) )
% 2.35/2.42       => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 2.35/2.42        <=> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2) ) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(mChineseRemainder,axiom,
% 2.35/2.42      ! [W0,W1] :
% 2.35/2.42        ( ( aIdeal0(W0)
% 2.35/2.42          & aIdeal0(W1) )
% 2.35/2.42       => ( ! [W2] :
% 2.35/2.42              ( aElement0(W2)
% 2.35/2.42             => aElementOf0(W2,sdtpldt1(W0,W1)) )
% 2.35/2.42         => ! [W2,W3] :
% 2.35/2.42              ( ( aElement0(W2)
% 2.35/2.42                & aElement0(W3) )
% 2.35/2.42             => ? [W4] :
% 2.35/2.42                  ( aElement0(W4)
% 2.35/2.42                  & sdteqdtlpzmzozddtrp0(W4,W2,W0)
% 2.35/2.42                  & sdteqdtlpzmzozddtrp0(W4,W3,W1) ) ) ) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(mNatSort,axiom,
% 2.35/2.42      ! [W0] :
% 2.35/2.42        ( aNaturalNumber0(W0)
% 2.35/2.42       => $true ) ).
% 2.35/2.42  
% 2.35/2.42  fof(mEucSort,axiom,
% 2.35/2.42      ! [W0] :
% 2.35/2.42        ( ( aElement0(W0)
% 2.35/2.42          & W0 != sz00 )
% 2.35/2.42       => aNaturalNumber0(sbrdtbr0(W0)) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(mNatLess,axiom,
% 2.35/2.42      ! [W0,W1] :
% 2.35/2.42        ( ( aNaturalNumber0(W0)
% 2.35/2.42          & aNaturalNumber0(W1) )
% 2.35/2.42       => ( iLess0(W0,W1)
% 2.35/2.42         => $true ) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(mDivision,axiom,
% 2.35/2.42      ! [W0,W1] :
% 2.35/2.42        ( ( aElement0(W0)
% 2.35/2.42          & aElement0(W1)
% 2.35/2.42          & W1 != sz00 )
% 2.35/2.42       => ? [W2,W3] :
% 2.35/2.42            ( aElement0(W2)
% 2.35/2.42            & aElement0(W3)
% 2.35/2.42            & W0 = sdtpldt0(sdtasdt0(W2,W1),W3)
% 2.35/2.42            & ( W3 != sz00
% 2.35/2.42             => iLess0(sbrdtbr0(W3),sbrdtbr0(W1)) ) ) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(mDefDiv,definition,
% 2.35/2.42      ! [W0,W1] :
% 2.35/2.42        ( ( aElement0(W0)
% 2.35/2.42          & aElement0(W1) )
% 2.35/2.42       => ( doDivides0(W0,W1)
% 2.35/2.42        <=> ? [W2] :
% 2.35/2.42              ( aElement0(W2)
% 2.35/2.42              & sdtasdt0(W0,W2) = W1 ) ) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(mDefDvs,definition,
% 2.35/2.42      ! [W0] :
% 2.35/2.42        ( aElement0(W0)
% 2.35/2.42       => ! [W1] :
% 2.35/2.42            ( aDivisorOf0(W1,W0)
% 2.35/2.42          <=> ( aElement0(W1)
% 2.35/2.42              & doDivides0(W1,W0) ) ) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(mDefGCD,definition,
% 2.35/2.42      ! [W0,W1] :
% 2.35/2.42        ( ( aElement0(W0)
% 2.35/2.42          & aElement0(W1) )
% 2.35/2.42       => ! [W2] :
% 2.35/2.42            ( aGcdOfAnd0(W2,W0,W1)
% 2.35/2.42          <=> ( aDivisorOf0(W2,W0)
% 2.35/2.42              & aDivisorOf0(W2,W1)
% 2.35/2.42              & ! [W3] :
% 2.35/2.42                  ( ( aDivisorOf0(W3,W0)
% 2.35/2.42                    & aDivisorOf0(W3,W1) )
% 2.35/2.42                 => doDivides0(W3,W2) ) ) ) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(mDefRel,definition,
% 2.35/2.42      ! [W0,W1] :
% 2.35/2.42        ( ( aElement0(W0)
% 2.35/2.42          & aElement0(W1) )
% 2.35/2.42       => ( misRelativelyPrime0(W0,W1)
% 2.35/2.42        <=> aGcdOfAnd0(sz10,W0,W1) ) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(mDefPrIdeal,definition,
% 2.35/2.42      ! [W0] :
% 2.35/2.42        ( aElement0(W0)
% 2.35/2.42       => ! [W1] :
% 2.35/2.42            ( W1 = slsdtgt0(W0)
% 2.35/2.42          <=> ( aSet0(W1)
% 2.35/2.42              & ! [W2] :
% 2.35/2.42                  ( aElementOf0(W2,W1)
% 2.35/2.42                <=> ? [W3] :
% 2.35/2.42                      ( aElement0(W3)
% 2.35/2.42                      & sdtasdt0(W0,W3) = W2 ) ) ) ) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(mPrIdeal,axiom,
% 2.35/2.42      ! [W0] :
% 2.35/2.42        ( aElement0(W0)
% 2.35/2.42       => aIdeal0(slsdtgt0(W0)) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(m__2091,hypothesis,
% 2.35/2.42      ( aElement0(xa)
% 2.35/2.42      & aElement0(xb) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(m__2110,hypothesis,
% 2.35/2.42      ( xa != sz00
% 2.35/2.42      | xb != sz00 ) ).
% 2.35/2.42  
% 2.35/2.42  fof(m__2129,hypothesis,
% 2.35/2.42      aGcdOfAnd0(xc,xa,xb) ).
% 2.35/2.42  
% 2.35/2.42  fof(m__2174,hypothesis,
% 2.35/2.42      ( aIdeal0(xI)
% 2.35/2.42      & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ).
% 2.35/2.42  
% 2.35/2.42  fof(m__2203,hypothesis,
% 2.35/2.42      ( aElementOf0(sz00,slsdtgt0(xa))
% 2.35/2.42      & aElementOf0(xa,slsdtgt0(xa))
% 2.35/2.43      & aElementOf0(sz00,slsdtgt0(xb))
% 2.35/2.43      & aElementOf0(xb,slsdtgt0(xb)) ) ).
% 2.35/2.43  
% 2.35/2.43  fof(m__2228,hypothesis,
% 2.35/2.43      ? [W0] :
% 2.35/2.43        ( aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
% 2.35/2.43        & W0 != sz00 ) ).
% 2.35/2.43  
% 2.35/2.43  fof(m__2351,hypothesis,
% 2.35/2.43      ! [W0] :
% 2.35/2.43        ( ( aElementOf0(W0,xI)
% 2.35/2.43          & W0 != sz00 )
% 2.35/2.43       => ? [W1] :
% 2.35/2.43            ( aElementOf0(W1,xI)
% 2.35/2.43            & W1 != sz00
% 2.35/2.43            & ! [W2] :
% 2.35/2.43                ( ( aElementOf0(W2,xI)
% 2.35/2.43                  & W2 != sz00 )
% 2.35/2.43               => ~ iLess0(sbrdtbr0(W2),sbrdtbr0(W1)) ) ) ) ).
% 2.35/2.43  
% 2.35/2.43  fof(m__,conjecture,
% 2.35/2.43      ? [W0] :
% 2.35/2.43        ( aElementOf0(W0,xI)
% 2.35/2.43        & W0 != sz00
% 2.35/2.43        & ! [W1] :
% 2.35/2.43            ( ( aElementOf0(W1,xI)
% 2.35/2.43              & W1 != sz00 )
% 2.35/2.43           => ~ iLess0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 2.35/2.43  
% 2.35/2.43  %------------------------------------------------------------------------------
% 2.35/2.43  %-------------------------------------------
% 2.35/2.43  % Proof found
% 2.35/2.43  % SZS status Theorem for theBenchmark
% 2.35/2.43  % SZS output start Proof
% 2.35/2.43  %ClaNum:191(EqnAxiom:84)
% 2.35/2.43  %VarNum:720(SingletonVarNum:220)
% 2.35/2.43  %MaxLitNum:8
% 2.35/2.43  %MaxfuncDepth:2
% 2.35/2.43  %SharedTerms:31
% 2.35/2.43  %goalClause: 116 122 137
% 2.35/2.43  [85]P1(a1)
% 2.35/2.43  [86]P1(a32)
% 2.35/2.43  [87]P1(a33)
% 2.35/2.43  [88]P1(a35)
% 2.35/2.43  [89]P3(a34)
% 2.35/2.43  [95]P5(a36,a33,a35)
% 2.35/2.43  [97]~E(a1,a32)
% 2.35/2.43  [98]~E(a4,a1)
% 2.35/2.43  [90]P4(a1,f2(a33))
% 2.35/2.43  [91]P4(a1,f2(a35))
% 2.35/2.43  [92]P4(a33,f2(a33))
% 2.35/2.43  [93]P4(a35,f2(a35))
% 2.35/2.43  [94]E(f3(f2(a33),f2(a35)),a34)
% 2.35/2.43  [96]P4(a4,f3(f2(a33),f2(a35)))
% 2.35/2.43  [99]~E(a1,a33)+~E(a1,a35)
% 2.35/2.43  [100]~P3(x1001)+P6(x1001)
% 2.35/2.43  [101]~P1(x1011)+P1(f31(x1011))
% 2.35/2.43  [102]~P1(x1021)+P3(f2(x1021))
% 2.35/2.43  [104]~P1(x1041)+E(f28(a1,x1041),a1)
% 2.35/2.43  [105]~P1(x1051)+E(f28(x1051,a1),a1)
% 2.35/2.43  [107]~P1(x1071)+E(f30(a1,x1071),x1071)
% 2.35/2.43  [108]~P1(x1081)+E(f28(a32,x1081),x1081)
% 2.35/2.43  [109]~P1(x1091)+E(f30(x1091,a1),x1091)
% 2.35/2.43  [110]~P1(x1101)+E(f28(x1101,a32),x1101)
% 2.35/2.43  [112]~P1(x1121)+E(f30(f31(x1121),x1121),a1)
% 2.35/2.43  [113]~P1(x1131)+E(f30(x1131,f31(x1131)),a1)
% 2.35/2.43  [114]~P1(x1141)+E(f28(x1141,f31(a32)),f31(x1141))
% 2.35/2.43  [115]~P1(x1151)+E(f28(f31(a32),x1151),f31(x1151))
% 2.35/2.43  [111]~P4(x1111,a34)+E(x1111,a1)+~E(a18,a1)
% 2.35/2.43  [118]~P4(x1181,a34)+E(x1181,a1)+P4(a18,a34)
% 2.35/2.43  [103]~P1(x1031)+E(x1031,a1)+P7(f17(x1031))
% 2.35/2.43  [116]~P4(x1161,a34)+E(x1161,a1)+~E(f19(x1161),a1)
% 2.35/2.43  [117]~P6(x1171)+P3(x1171)+P4(f20(x1171),x1171)
% 2.35/2.43  [122]~P4(x1221,a34)+E(x1221,a1)+P4(f19(x1221),a34)
% 2.35/2.43  [137]~P4(x1371,a34)+E(x1371,a1)+P9(f17(f19(x1371)),f17(x1371))
% 2.35/2.43  [119]~P4(x1191,x1192)+P1(x1191)+~P6(x1192)
% 2.35/2.43  [120]~P2(x1201,x1202)+P1(x1201)+~P1(x1202)
% 2.35/2.43  [128]~P1(x1282)+~P2(x1281,x1282)+P8(x1281,x1282)
% 2.35/2.43  [106]~P1(x1062)+P6(x1061)+~E(x1061,f2(x1062))
% 2.35/2.43  [123]~P1(x1232)+~P1(x1231)+E(f30(x1231,x1232),f30(x1232,x1231))
% 2.35/2.43  [124]~P1(x1242)+~P1(x1241)+E(f28(x1241,x1242),f28(x1242,x1241))
% 2.35/2.43  [129]~P1(x1292)+~P1(x1291)+P1(f30(x1291,x1292))
% 2.35/2.43  [130]~P1(x1302)+~P1(x1301)+P1(f28(x1301,x1302))
% 2.35/2.43  [131]~P3(x1312)+~P3(x1311)+P3(f3(x1311,x1312))
% 2.35/2.43  [132]~P3(x1322)+~P3(x1321)+P3(f29(x1321,x1322))
% 2.35/2.43  [127]~P6(x1271)+P3(x1271)+P4(f6(x1271),x1271)+P1(f5(x1271))
% 2.35/2.43  [160]~P6(x1601)+P3(x1601)+P1(f5(x1601))+~P4(f30(f20(x1601),f6(x1601)),x1601)
% 2.35/2.43  [163]~P6(x1631)+P3(x1631)+P4(f6(x1631),x1631)+~P4(f28(f5(x1631),f20(x1631)),x1631)
% 2.35/2.43  [172]~P6(x1721)+P3(x1721)+~P4(f30(f20(x1721),f6(x1721)),x1721)+~P4(f28(f5(x1721),f20(x1721)),x1721)
% 2.35/2.43  [135]~P1(x1352)+~P1(x1351)+~P8(x1351,x1352)+P2(x1351,x1352)
% 2.35/2.43  [145]~P1(x1452)+~P1(x1451)+~P10(x1451,x1452)+P5(a32,x1451,x1452)
% 2.35/2.43  [153]~P1(x1532)+~P1(x1531)+P10(x1531,x1532)+~P5(a32,x1531,x1532)
% 2.35/2.43  [133]~P1(x1331)+~P1(x1332)+E(x1331,a1)+P1(f7(x1332,x1331))
% 2.35/2.43  [134]~P1(x1341)+~P1(x1342)+E(x1341,a1)+P1(f10(x1342,x1341))
% 2.35/2.43  [139]~P1(x1392)+~P1(x1391)+~P8(x1391,x1392)+P1(f11(x1391,x1392))
% 2.35/2.43  [143]~P1(x1432)+~P1(x1431)+~P8(x1431,x1432)+E(f28(x1431,f11(x1431,x1432)),x1432)
% 2.35/2.43  [165]~P1(x1651)+~P1(x1652)+E(x1651,a1)+E(f30(f28(f7(x1652,x1651),x1651),f10(x1652,x1651)),x1652)
% 2.35/2.43  [155]~P1(x1552)+~P5(x1551,x1553,x1552)+P2(x1551,x1552)+~P1(x1553)
% 2.35/2.43  [156]~P1(x1562)+~P5(x1561,x1562,x1563)+P2(x1561,x1562)+~P1(x1563)
% 2.35/2.43  [125]~P6(x1253)+~P6(x1252)+P6(x1251)+~E(x1251,f3(x1252,x1253))
% 2.35/2.43  [126]~P6(x1263)+~P6(x1262)+P6(x1261)+~E(x1261,f29(x1262,x1263))
% 2.35/2.43  [142]~P1(x1421)+~P3(x1423)+~P4(x1422,x1423)+P4(f28(x1421,x1422),x1423)
% 2.35/2.43  [147]~P3(x1473)+~P4(x1471,x1473)+~P4(x1472,x1473)+P4(f30(x1471,x1472),x1473)
% 2.35/2.43  [167]~P1(x1671)+~P4(x1673,x1672)+~E(x1672,f2(x1671))+P1(f14(x1671,x1672,x1673))
% 2.35/2.43  [150]~P1(x1503)+~P1(x1502)+~P1(x1501)+E(f30(f30(x1501,x1502),x1503),f30(x1501,f30(x1502,x1503)))
% 2.35/2.43  [151]~P1(x1513)+~P1(x1512)+~P1(x1511)+E(f28(f28(x1511,x1512),x1513),f28(x1511,f28(x1512,x1513)))
% 2.35/2.43  [161]~P1(x1613)+~P1(x1612)+~P1(x1611)+E(f30(f28(x1611,x1612),f28(x1611,x1613)),f28(x1611,f30(x1612,x1613)))
% 2.35/2.43  [162]~P1(x1622)+~P1(x1623)+~P1(x1621)+E(f30(f28(x1621,x1622),f28(x1623,x1622)),f28(f30(x1621,x1623),x1622))
% 2.35/2.43  [169]~P1(x1691)+~P4(x1693,x1692)+~E(x1692,f2(x1691))+E(f28(x1691,f14(x1691,x1692,x1693)),x1693)
% 2.35/2.43  [121]~P1(x1211)+~P1(x1212)+E(x1211,a1)+E(x1212,a1)+~E(f28(x1212,x1211),a1)
% 2.35/2.43  [144]~P4(x1441,a34)+~P4(x1442,a34)+E(x1441,a1)+E(x1442,a1)+~P9(f17(x1442),f17(a18))
% 2.35/2.43  [146]~P1(x1462)+~P6(x1461)+P4(f13(x1462,x1461),x1461)+E(x1461,f2(x1462))+P1(f12(x1462,x1461))
% 2.35/2.43  [148]~P6(x1482)+~P6(x1481)+E(x1481,x1482)+P4(f16(x1481,x1482),x1481)+P4(f21(x1481,x1482),x1482)
% 2.35/2.43  [157]~P6(x1572)+~P6(x1571)+E(x1571,x1572)+P4(f16(x1571,x1572),x1571)+~P4(f21(x1571,x1572),x1571)
% 2.35/2.43  [158]~P6(x1582)+~P6(x1581)+E(x1581,x1582)+P4(f21(x1581,x1582),x1582)+~P4(f16(x1581,x1582),x1582)
% 2.35/2.43  [166]~P6(x1662)+~P6(x1661)+E(x1661,x1662)+~P4(f16(x1661,x1662),x1662)+~P4(f21(x1661,x1662),x1661)
% 2.35/2.43  [152]~P1(x1521)+~P1(x1522)+E(x1521,a1)+P9(f17(f10(x1522,x1521)),f17(x1521))+E(f10(x1522,x1521),a1)
% 2.35/2.43  [154]~P1(x1542)+~P6(x1541)+P4(f13(x1542,x1541),x1541)+E(x1541,f2(x1542))+E(f28(x1542,f12(x1542,x1541)),f13(x1542,x1541))
% 2.35/2.43  [136]~P1(x1362)+~P1(x1361)+~P1(x1363)+P8(x1361,x1362)+~E(f28(x1361,x1363),x1362)
% 2.35/2.43  [168]~P1(x1682)+~P1(x1681)+~P3(x1683)+P11(x1681,x1682,x1683)+~P4(f30(x1681,f31(x1682)),x1683)
% 2.35/2.43  [170]~P1(x1702)+~P1(x1701)+~P3(x1703)+~P11(x1701,x1702,x1703)+P4(f30(x1701,f31(x1702)),x1703)
% 2.35/2.43  [138]~P1(x1383)+~P1(x1384)+P4(x1381,x1382)+~E(f28(x1383,x1384),x1381)+~E(x1382,f2(x1383))
% 2.35/2.43  [140]~P6(x1404)+~P6(x1402)+~P4(x1401,x1403)+P4(x1401,x1402)+~E(x1403,f29(x1404,x1402))
% 2.35/2.43  [141]~P6(x1414)+~P6(x1412)+~P4(x1411,x1413)+P4(x1411,x1412)+~E(x1413,f29(x1412,x1414))
% 2.35/2.43  [183]~P6(x1832)+~P6(x1831)+~P4(x1834,x1833)+~E(x1833,f3(x1831,x1832))+P4(f23(x1831,x1832,x1833,x1834),x1831)
% 2.35/2.43  [184]~P6(x1842)+~P6(x1841)+~P4(x1844,x1843)+~E(x1843,f3(x1841,x1842))+P4(f24(x1841,x1842,x1843,x1844),x1842)
% 2.35/2.43  [191]~P6(x1912)+~P6(x1911)+~P4(x1914,x1913)+~E(x1913,f3(x1911,x1912))+E(f30(f23(x1911,x1912,x1913,x1914),f24(x1911,x1912,x1913,x1914)),x1914)
% 2.35/2.43  [164]~P1(x1643)+~P1(x1642)+~P6(x1641)+~P4(f13(x1642,x1641),x1641)+~E(f13(x1642,x1641),f28(x1642,x1643))+E(x1641,f2(x1642))
% 2.35/2.43  [173]~P1(x1733)+~P1(x1732)+~P2(x1731,x1733)+~P2(x1731,x1732)+P5(x1731,x1732,x1733)+P2(f15(x1732,x1733,x1731),x1733)
% 2.35/2.43  [174]~P1(x1743)+~P1(x1742)+~P2(x1741,x1743)+~P2(x1741,x1742)+P5(x1741,x1742,x1743)+P2(f15(x1742,x1743,x1741),x1742)
% 2.35/2.43  [175]~P6(x1751)+~P6(x1753)+~P6(x1752)+P4(f22(x1752,x1753,x1751),x1751)+P4(f25(x1752,x1753,x1751),x1752)+E(x1751,f3(x1752,x1753))
% 2.35/2.43  [176]~P6(x1761)+~P6(x1763)+~P6(x1762)+P4(f22(x1762,x1763,x1761),x1761)+P4(f26(x1762,x1763,x1761),x1763)+E(x1761,f3(x1762,x1763))
% 2.35/2.43  [177]~P6(x1771)+~P6(x1773)+~P6(x1772)+P4(f27(x1772,x1773,x1771),x1771)+P4(f27(x1772,x1773,x1771),x1773)+E(x1771,f29(x1772,x1773))
% 2.35/2.43  [178]~P6(x1781)+~P6(x1783)+~P6(x1782)+P4(f27(x1782,x1783,x1781),x1781)+P4(f27(x1782,x1783,x1781),x1782)+E(x1781,f29(x1782,x1783))
% 2.35/2.43  [179]~P1(x1793)+~P1(x1792)+~P2(x1791,x1793)+~P2(x1791,x1792)+P5(x1791,x1792,x1793)+~P8(f15(x1792,x1793,x1791),x1791)
% 2.35/2.43  [181]~P6(x1811)+~P6(x1813)+~P6(x1812)+P4(f22(x1812,x1813,x1811),x1811)+E(x1811,f3(x1812,x1813))+E(f30(f25(x1812,x1813,x1811),f26(x1812,x1813,x1811)),f22(x1812,x1813,x1811))
% 2.35/2.43  [171]~P2(x1711,x1713)+~P2(x1711,x1714)+~P5(x1712,x1714,x1713)+P8(x1711,x1712)+~P1(x1713)+~P1(x1714)
% 2.35/2.43  [149]~P6(x1494)+~P6(x1493)+~P4(x1491,x1494)+~P4(x1491,x1493)+P4(x1491,x1492)+~E(x1492,f29(x1493,x1494))
% 2.35/2.43  [182]~P1(x1824)+~P1(x1823)+~P3(x1822)+~P3(x1821)+P1(f8(x1821,x1822))+P1(f9(x1821,x1822,x1823,x1824))
% 2.35/2.43  [185]~P1(x1854)+~P1(x1853)+~P3(x1852)+~P3(x1851)+P11(f9(x1851,x1852,x1853,x1854),x1854,x1852)+P1(f8(x1851,x1852))
% 2.35/2.43  [186]~P1(x1864)+~P1(x1863)+~P3(x1862)+~P3(x1861)+P11(f9(x1861,x1862,x1863,x1864),x1863,x1861)+P1(f8(x1861,x1862))
% 2.35/2.43  [188]~P1(x1884)+~P1(x1883)+~P3(x1882)+~P3(x1881)+~P4(f8(x1881,x1882),f3(x1881,x1882))+P1(f9(x1881,x1882,x1883,x1884))
% 2.35/2.43  [189]~P1(x1894)+~P1(x1893)+~P3(x1892)+~P3(x1891)+P11(f9(x1891,x1892,x1893,x1894),x1894,x1892)+~P4(f8(x1891,x1892),f3(x1891,x1892))
% 2.35/2.43  [190]~P1(x1904)+~P1(x1903)+~P3(x1902)+~P3(x1901)+P11(f9(x1901,x1902,x1903,x1904),x1903,x1901)+~P4(f8(x1901,x1902),f3(x1901,x1902))
% 2.35/2.43  [187]~P6(x1871)+~P6(x1873)+~P6(x1872)+~P4(f27(x1872,x1873,x1871),x1871)+~P4(f27(x1872,x1873,x1871),x1873)+~P4(f27(x1872,x1873,x1871),x1872)+E(x1871,f29(x1872,x1873))
% 2.35/2.43  [159]~P6(x1594)+~P6(x1593)+~P4(x1596,x1594)+~P4(x1595,x1593)+P4(x1591,x1592)+~E(x1592,f3(x1593,x1594))+~E(f30(x1595,x1596),x1591)
% 2.35/2.43  [180]~P6(x1801)+~P6(x1803)+~P6(x1802)+~P4(x1805,x1803)+~P4(x1804,x1802)+~P4(f22(x1802,x1803,x1801),x1801)+E(x1801,f3(x1802,x1803))+~E(f30(x1804,x1805),f22(x1802,x1803,x1801))
% 2.35/2.43  %EqnAxiom
% 2.35/2.43  [1]E(x11,x11)
% 2.35/2.43  [2]E(x22,x21)+~E(x21,x22)
% 2.35/2.43  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.35/2.43  [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 2.35/2.43  [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 2.35/2.43  [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 2.35/2.43  [7]~E(x71,x72)+E(f30(x71,x73),f30(x72,x73))
% 2.35/2.43  [8]~E(x81,x82)+E(f30(x83,x81),f30(x83,x82))
% 2.35/2.43  [9]~E(x91,x92)+E(f24(x91,x93,x94,x95),f24(x92,x93,x94,x95))
% 2.35/2.43  [10]~E(x101,x102)+E(f24(x103,x101,x104,x105),f24(x103,x102,x104,x105))
% 2.35/2.43  [11]~E(x111,x112)+E(f24(x113,x114,x111,x115),f24(x113,x114,x112,x115))
% 2.35/2.43  [12]~E(x121,x122)+E(f24(x123,x124,x125,x121),f24(x123,x124,x125,x122))
% 2.35/2.43  [13]~E(x131,x132)+E(f23(x131,x133,x134,x135),f23(x132,x133,x134,x135))
% 2.35/2.43  [14]~E(x141,x142)+E(f23(x143,x141,x144,x145),f23(x143,x142,x144,x145))
% 2.35/2.43  [15]~E(x151,x152)+E(f23(x153,x154,x151,x155),f23(x153,x154,x152,x155))
% 2.35/2.43  [16]~E(x161,x162)+E(f23(x163,x164,x165,x161),f23(x163,x164,x165,x162))
% 2.35/2.43  [17]~E(x171,x172)+E(f27(x171,x173,x174),f27(x172,x173,x174))
% 2.35/2.43  [18]~E(x181,x182)+E(f27(x183,x181,x184),f27(x183,x182,x184))
% 2.35/2.43  [19]~E(x191,x192)+E(f27(x193,x194,x191),f27(x193,x194,x192))
% 2.35/2.43  [20]~E(x201,x202)+E(f29(x201,x203),f29(x202,x203))
% 2.35/2.43  [21]~E(x211,x212)+E(f29(x213,x211),f29(x213,x212))
% 2.35/2.43  [22]~E(x221,x222)+E(f8(x221,x223),f8(x222,x223))
% 2.35/2.43  [23]~E(x231,x232)+E(f8(x233,x231),f8(x233,x232))
% 2.35/2.43  [24]~E(x241,x242)+E(f9(x241,x243,x244,x245),f9(x242,x243,x244,x245))
% 2.35/2.43  [25]~E(x251,x252)+E(f9(x253,x251,x254,x255),f9(x253,x252,x254,x255))
% 2.35/2.43  [26]~E(x261,x262)+E(f9(x263,x264,x261,x265),f9(x263,x264,x262,x265))
% 2.35/2.43  [27]~E(x271,x272)+E(f9(x273,x274,x275,x271),f9(x273,x274,x275,x272))
% 2.35/2.43  [28]~E(x281,x282)+E(f13(x281,x283),f13(x282,x283))
% 2.35/2.43  [29]~E(x291,x292)+E(f13(x293,x291),f13(x293,x292))
% 2.35/2.43  [30]~E(x301,x302)+E(f31(x301),f31(x302))
% 2.35/2.43  [31]~E(x311,x312)+E(f16(x311,x313),f16(x312,x313))
% 2.35/2.43  [32]~E(x321,x322)+E(f16(x323,x321),f16(x323,x322))
% 2.35/2.43  [33]~E(x331,x332)+E(f17(x331),f17(x332))
% 2.35/2.43  [34]~E(x341,x342)+E(f28(x341,x343),f28(x342,x343))
% 2.35/2.43  [35]~E(x351,x352)+E(f28(x353,x351),f28(x353,x352))
% 2.35/2.43  [36]~E(x361,x362)+E(f21(x361,x363),f21(x362,x363))
% 2.35/2.43  [37]~E(x371,x372)+E(f21(x373,x371),f21(x373,x372))
% 2.35/2.43  [38]~E(x381,x382)+E(f26(x381,x383,x384),f26(x382,x383,x384))
% 2.35/2.43  [39]~E(x391,x392)+E(f26(x393,x391,x394),f26(x393,x392,x394))
% 2.35/2.43  [40]~E(x401,x402)+E(f26(x403,x404,x401),f26(x403,x404,x402))
% 2.35/2.43  [41]~E(x411,x412)+E(f15(x411,x413,x414),f15(x412,x413,x414))
% 2.35/2.43  [42]~E(x421,x422)+E(f15(x423,x421,x424),f15(x423,x422,x424))
% 2.35/2.43  [43]~E(x431,x432)+E(f15(x433,x434,x431),f15(x433,x434,x432))
% 2.35/2.43  [44]~E(x441,x442)+E(f6(x441),f6(x442))
% 2.35/2.43  [45]~E(x451,x452)+E(f25(x451,x453,x454),f25(x452,x453,x454))
% 2.35/2.43  [46]~E(x461,x462)+E(f25(x463,x461,x464),f25(x463,x462,x464))
% 2.35/2.43  [47]~E(x471,x472)+E(f25(x473,x474,x471),f25(x473,x474,x472))
% 2.35/2.43  [48]~E(x481,x482)+E(f12(x481,x483),f12(x482,x483))
% 2.35/2.43  [49]~E(x491,x492)+E(f12(x493,x491),f12(x493,x492))
% 2.35/2.43  [50]~E(x501,x502)+E(f22(x501,x503,x504),f22(x502,x503,x504))
% 2.35/2.43  [51]~E(x511,x512)+E(f22(x513,x511,x514),f22(x513,x512,x514))
% 2.35/2.43  [52]~E(x521,x522)+E(f22(x523,x524,x521),f22(x523,x524,x522))
% 2.35/2.43  [53]~E(x531,x532)+E(f10(x531,x533),f10(x532,x533))
% 2.35/2.43  [54]~E(x541,x542)+E(f10(x543,x541),f10(x543,x542))
% 2.35/2.43  [55]~E(x551,x552)+E(f19(x551),f19(x552))
% 2.35/2.43  [56]~E(x561,x562)+E(f7(x561,x563),f7(x562,x563))
% 2.35/2.43  [57]~E(x571,x572)+E(f7(x573,x571),f7(x573,x572))
% 2.35/2.43  [58]~E(x581,x582)+E(f11(x581,x583),f11(x582,x583))
% 2.35/2.43  [59]~E(x591,x592)+E(f11(x593,x591),f11(x593,x592))
% 2.35/2.43  [60]~E(x601,x602)+E(f20(x601),f20(x602))
% 2.35/2.43  [61]~E(x611,x612)+E(f5(x611),f5(x612))
% 2.35/2.43  [62]~E(x621,x622)+E(f14(x621,x623,x624),f14(x622,x623,x624))
% 2.35/2.43  [63]~E(x631,x632)+E(f14(x633,x631,x634),f14(x633,x632,x634))
% 2.35/2.43  [64]~E(x641,x642)+E(f14(x643,x644,x641),f14(x643,x644,x642))
% 2.35/2.43  [65]~P1(x651)+P1(x652)+~E(x651,x652)
% 2.35/2.43  [66]P4(x662,x663)+~E(x661,x662)+~P4(x661,x663)
% 2.35/2.43  [67]P4(x673,x672)+~E(x671,x672)+~P4(x673,x671)
% 2.35/2.43  [68]~P6(x681)+P6(x682)+~E(x681,x682)
% 2.35/2.43  [69]~P3(x691)+P3(x692)+~E(x691,x692)
% 2.35/2.43  [70]P2(x702,x703)+~E(x701,x702)+~P2(x701,x703)
% 2.35/2.43  [71]P2(x713,x712)+~E(x711,x712)+~P2(x713,x711)
% 2.35/2.43  [72]P8(x722,x723)+~E(x721,x722)+~P8(x721,x723)
% 2.35/2.43  [73]P8(x733,x732)+~E(x731,x732)+~P8(x733,x731)
% 2.35/2.43  [74]P11(x742,x743,x744)+~E(x741,x742)+~P11(x741,x743,x744)
% 2.35/2.43  [75]P11(x753,x752,x754)+~E(x751,x752)+~P11(x753,x751,x754)
% 2.35/2.43  [76]P11(x763,x764,x762)+~E(x761,x762)+~P11(x763,x764,x761)
% 2.35/2.43  [77]P5(x772,x773,x774)+~E(x771,x772)+~P5(x771,x773,x774)
% 2.35/2.43  [78]P5(x783,x782,x784)+~E(x781,x782)+~P5(x783,x781,x784)
% 2.35/2.43  [79]P5(x793,x794,x792)+~E(x791,x792)+~P5(x793,x794,x791)
% 2.35/2.43  [80]P10(x802,x803)+~E(x801,x802)+~P10(x801,x803)
% 2.35/2.43  [81]P10(x813,x812)+~E(x811,x812)+~P10(x813,x811)
% 2.35/2.43  [82]P9(x822,x823)+~E(x821,x822)+~P9(x821,x823)
% 2.35/2.43  [83]P9(x833,x832)+~E(x831,x832)+~P9(x833,x831)
% 2.35/2.43  [84]~P7(x841)+P7(x842)+~E(x841,x842)
% 2.35/2.43  
% 2.35/2.43  %-------------------------------------------
% 2.35/2.43  cnf(192,plain,
% 2.35/2.43     (E(a34,f3(f2(a33),f2(a35)))),
% 2.35/2.43     inference(scs_inference,[],[94,2])).
% 2.35/2.43  cnf(193,plain,
% 2.35/2.43     (P3(f3(f2(a33),f2(a35)))),
% 2.35/2.43     inference(scs_inference,[],[89,94,2,69])).
% 2.35/2.43  cnf(194,plain,
% 2.35/2.43     (P4(a4,a34)),
% 2.35/2.43     inference(scs_inference,[],[89,96,94,2,69,67])).
% 2.35/2.43  cnf(195,plain,
% 2.35/2.43     (P6(a34)),
% 2.35/2.43     inference(scs_inference,[],[89,96,94,2,69,67,100])).
% 2.35/2.43  cnf(197,plain,
% 2.35/2.43     (E(f28(a1,a32),a1)),
% 2.35/2.43     inference(scs_inference,[],[85,89,96,94,2,69,67,100,110])).
% 2.35/2.43  cnf(199,plain,
% 2.35/2.43     (E(f30(a1,a1),a1)),
% 2.35/2.43     inference(scs_inference,[],[85,89,96,94,2,69,67,100,110,109])).
% 2.35/2.43  cnf(201,plain,
% 2.35/2.43     (E(f28(a32,a1),a1)),
% 2.35/2.43     inference(scs_inference,[],[85,89,96,94,2,69,67,100,110,109,108])).
% 2.35/2.43  cnf(205,plain,
% 2.35/2.43     (E(f28(a1,a1),a1)),
% 2.35/2.43     inference(scs_inference,[],[85,86,89,96,94,2,69,67,100,110,109,108,107,105])).
% 2.35/2.43  cnf(209,plain,
% 2.35/2.43     (P3(f2(a1))),
% 2.35/2.43     inference(scs_inference,[],[85,86,87,89,96,94,2,69,67,100,110,109,108,107,105,104,102])).
% 2.35/2.43  cnf(256,plain,
% 2.35/2.43     (E(f29(x2561,f3(f2(a33),f2(a35))),f29(x2561,a34))),
% 2.35/2.43     inference(scs_inference,[],[85,86,87,89,96,94,2,69,67,100,110,109,108,107,105,104,102,101,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21])).
% 2.35/2.43  cnf(271,plain,
% 2.35/2.43     (E(f3(x2711,f3(f2(a33),f2(a35))),f3(x2711,a34))),
% 2.35/2.43     inference(scs_inference,[],[85,86,87,89,96,94,2,69,67,100,110,109,108,107,105,104,102,101,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 2.35/2.43  cnf(272,plain,
% 2.35/2.43     (E(f3(f3(f2(a33),f2(a35)),x2721),f3(a34,x2721))),
% 2.35/2.43     inference(scs_inference,[],[85,86,87,89,96,94,2,69,67,100,110,109,108,107,105,104,102,101,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 2.35/2.43  cnf(282,plain,
% 2.35/2.43     (P6(f3(f2(a33),f2(a35)))),
% 2.35/2.43     inference(scs_inference,[],[85,86,87,89,96,94,2,69,67,100,110,109,108,107,105,104,102,101,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,115,114,113,112,68])).
% 2.35/2.43  cnf(283,plain,
% 2.35/2.43     (~E(a1,x2831)+P1(x2831)),
% 2.35/2.43     inference(scs_inference,[],[85,86,87,89,96,94,2,69,67,100,110,109,108,107,105,104,102,101,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,115,114,113,112,68,65])).
% 2.35/2.43  cnf(284,plain,
% 2.35/2.43     (~E(a1,f30(a1,a32))),
% 2.35/2.43     inference(scs_inference,[],[85,86,87,89,97,96,94,2,69,67,100,110,109,108,107,105,104,102,101,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,115,114,113,112,68,65,3])).
% 2.35/2.43  cnf(285,plain,
% 2.35/2.43     (P1(a4)),
% 2.35/2.43     inference(scs_inference,[],[85,86,87,89,97,96,94,2,69,67,100,110,109,108,107,105,104,102,101,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,115,114,113,112,68,65,3,119])).
% 2.35/2.43  cnf(287,plain,
% 2.35/2.43     (P4(a18,a34)),
% 2.35/2.43     inference(scs_inference,[],[85,86,87,89,97,98,96,94,2,69,67,100,110,109,108,107,105,104,102,101,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,115,114,113,112,68,65,3,119,118])).
% 2.35/2.43  cnf(289,plain,
% 2.35/2.43     (~E(a18,a1)),
% 2.35/2.43     inference(scs_inference,[],[85,86,87,89,97,98,96,94,2,69,67,100,110,109,108,107,105,104,102,101,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,115,114,113,112,68,65,3,119,118,111])).
% 2.35/2.43  cnf(348,plain,
% 2.35/2.43     (P2(a36,a35)),
% 2.35/2.43     inference(scs_inference,[],[88,95,87,155])).
% 2.35/2.43  cnf(350,plain,
% 2.35/2.43     (P4(f28(a1,a4),f3(f2(a33),f2(a35)))),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,96,193,155,142])).
% 2.35/2.43  cnf(352,plain,
% 2.35/2.43     (P8(a1,a1)),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,96,193,205,155,142,136])).
% 2.35/2.43  cnf(354,plain,
% 2.35/2.43     (P1(a18)),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,96,193,205,195,287,155,142,136,119])).
% 2.35/2.43  cnf(356,plain,
% 2.35/2.43     (P1(f30(a1,a1))),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,96,193,205,195,287,155,142,136,119,129])).
% 2.35/2.43  cnf(360,plain,
% 2.35/2.43     (P2(a36,a33)),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,96,98,193,205,195,285,287,155,142,136,119,129,103,156])).
% 2.35/2.43  cnf(363,plain,
% 2.35/2.43     (E(f29(x3631,f3(f2(a33),f2(a35))),f29(x3631,a34))),
% 2.35/2.43     inference(rename_variables,[],[256])).
% 2.35/2.43  cnf(374,plain,
% 2.35/2.43     (~P9(f17(a4),f17(a18))),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,96,98,193,256,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144])).
% 2.35/2.43  cnf(377,plain,
% 2.35/2.43     (E(f29(x3771,f3(f2(a33),f2(a35))),f29(x3771,a34))),
% 2.35/2.43     inference(rename_variables,[],[256])).
% 2.35/2.43  cnf(379,plain,
% 2.35/2.43     (~E(a32,a1)),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,97,96,98,193,256,363,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2])).
% 2.35/2.43  cnf(380,plain,
% 2.35/2.43     (P3(f29(a34,a34))),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,97,96,89,98,193,256,363,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2,132])).
% 2.35/2.43  cnf(382,plain,
% 2.35/2.43     (P3(f3(a34,a34))),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,97,96,89,98,193,256,363,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2,132,131])).
% 2.35/2.43  cnf(384,plain,
% 2.35/2.43     (P1(f28(a1,a1))),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,97,96,89,98,193,256,363,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2,132,131,130])).
% 2.35/2.43  cnf(386,plain,
% 2.35/2.43     (P4(f19(a4),a34)),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,97,96,89,98,193,256,363,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2,132,131,130,122])).
% 2.35/2.43  cnf(388,plain,
% 2.35/2.43     (~E(f19(a4),a1)),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,97,96,89,98,193,256,363,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2,132,131,130,122,116])).
% 2.35/2.43  cnf(390,plain,
% 2.35/2.43     (P9(f17(f19(a4)),f17(a4))),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,97,96,89,98,193,256,363,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2,132,131,130,122,116,137])).
% 2.35/2.43  cnf(392,plain,
% 2.35/2.43     (P4(f30(a4,a4),f3(f2(a33),f2(a35)))),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,87,97,96,89,98,193,256,363,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2,132,131,130,122,116,137,147])).
% 2.35/2.43  cnf(396,plain,
% 2.35/2.43     (E(f30(f28(a1,a1),f28(a1,a1)),f28(f30(a1,a1),a1))),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,86,87,97,96,89,98,193,256,363,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2,132,131,130,122,116,137,147,134,162])).
% 2.35/2.43  cnf(398,plain,
% 2.35/2.43     (E(f30(f28(a1,a1),f28(a1,a1)),f28(a1,f30(a1,a1)))),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,86,87,97,96,89,98,193,256,363,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2,132,131,130,122,116,137,147,134,162,161])).
% 2.35/2.43  cnf(411,plain,
% 2.35/2.43     (P8(a36,a36)),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,86,87,97,96,89,98,193,256,363,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2,132,131,130,122,116,137,147,134,162,161,165,84,128,135,139,143,171])).
% 2.35/2.43  cnf(415,plain,
% 2.35/2.43     (P6(f29(a34,a34))),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,86,87,97,96,89,98,193,256,363,377,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2,132,131,130,122,116,137,147,134,162,161,165,84,128,135,139,143,171,121,68])).
% 2.35/2.43  cnf(416,plain,
% 2.35/2.43     (E(f29(x4161,f3(f2(a33),f2(a35))),f29(x4161,a34))),
% 2.35/2.43     inference(rename_variables,[],[256])).
% 2.35/2.43  cnf(417,plain,
% 2.35/2.43     (P4(a4,f29(a34,a34))),
% 2.35/2.43     inference(scs_inference,[],[85,88,95,86,87,97,96,89,98,193,256,363,377,416,271,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2,132,131,130,122,116,137,147,134,162,161,165,84,128,135,139,143,171,121,68,67])).
% 2.35/2.44  cnf(420,plain,
% 2.35/2.44     (P1(a36)),
% 2.35/2.44     inference(scs_inference,[],[85,88,95,86,87,97,96,89,98,193,256,363,377,416,271,197,205,194,195,285,287,155,142,136,119,129,103,156,126,125,133,151,150,144,149,2,132,131,130,122,116,137,147,134,162,161,165,84,128,135,139,143,171,121,68,67,3,120])).
% 2.35/2.44  cnf(454,plain,
% 2.35/2.44     (~P9(f17(f19(a4)),f17(a18))),
% 2.35/2.44     inference(scs_inference,[],[86,87,89,98,415,392,386,388,417,360,256,193,285,195,194,128,142,149,147,133,151,150,162,144])).
% 2.35/2.44  cnf(458,plain,
% 2.35/2.44     (E(f28(a1,f30(a1,a1)),f30(f28(a1,a1),f28(a1,a1)))),
% 2.35/2.44     inference(scs_inference,[],[86,87,89,98,415,392,398,386,388,417,289,354,360,256,193,285,195,194,128,142,149,147,133,151,150,162,144,121,2])).
% 2.35/2.44  cnf(504,plain,
% 2.35/2.44     (P2(a36,a36)),
% 2.35/2.44     inference(scs_inference,[],[86,201,411,420,85,136,135])).
% 2.35/2.44  cnf(508,plain,
% 2.35/2.44     (E(f28(a36,f11(a36,a36)),a36)),
% 2.35/2.44     inference(scs_inference,[],[86,201,411,420,85,136,135,139,143])).
% 2.35/2.44  cnf(510,plain,
% 2.35/2.44     (~P9(f17(a18),f17(a18))),
% 2.35/2.44     inference(scs_inference,[],[86,98,201,411,287,289,420,194,85,136,135,139,143,144])).
% 2.35/2.44  cnf(518,plain,
% 2.35/2.44     (~E(f28(a4,a4),a1)),
% 2.35/2.44     inference(scs_inference,[],[86,89,98,458,396,454,201,390,411,287,289,420,285,194,85,136,135,139,143,144,83,3,2,186,33,121])).
% 2.35/2.44  cnf(580,plain,
% 2.35/2.44     (P6(f3(a34,a34))),
% 2.35/2.44     inference(scs_inference,[],[88,382,107,100])).
% 2.35/2.44  cnf(582,plain,
% 2.35/2.44     (E(f28(a32,a35),a35)),
% 2.35/2.44     inference(scs_inference,[],[88,382,107,100,108])).
% 2.35/2.44  cnf(586,plain,
% 2.35/2.44     (P3(f2(a35))),
% 2.35/2.44     inference(scs_inference,[],[88,382,107,100,108,105,102])).
% 2.35/2.44  cnf(617,plain,
% 2.35/2.44     (E(f3(x6171,a34),f3(x6171,f3(f2(a33),f2(a35))))),
% 2.35/2.44     inference(scs_inference,[],[88,192,382,508,107,100,108,105,102,101,63,62,61,60,59,57,56,55,53,48,47,45,42,40,38,34,27,24,23,19,18,16,15,14,11,10,7,6])).
% 2.35/2.44  cnf(648,plain,
% 2.35/2.44     (E(f29(x6481,a34),f29(x6481,f3(f2(a33),f2(a35))))),
% 2.35/2.44     inference(scs_inference,[],[88,192,382,508,107,100,108,105,102,101,63,62,61,60,59,57,56,55,53,48,47,45,42,40,38,34,27,24,23,19,18,16,15,14,11,10,7,6,5,115,114,104,64,58,54,52,51,50,49,46,44,43,41,39,37,36,35,32,31,30,29,28,26,25,22,21])).
% 2.35/2.44  cnf(679,plain,
% 2.35/2.44     (P7(f17(a32))),
% 2.35/2.44     inference(scs_inference,[],[88,379,86,129,103])).
% 2.35/2.44  cnf(687,plain,
% 2.35/2.44     (~E(f19(f19(a4)),a1)),
% 2.35/2.44     inference(scs_inference,[],[88,379,586,388,386,86,129,103,132,131,130,116])).
% 2.35/2.44  cnf(689,plain,
% 2.35/2.44     (P9(f17(f19(a18)),f17(a18))),
% 2.35/2.44     inference(scs_inference,[],[88,379,586,388,386,287,289,86,129,103,132,131,130,116,137])).
% 2.35/2.44  cnf(691,plain,
% 2.35/2.44     (P4(f19(f19(a4)),a34)),
% 2.35/2.44     inference(scs_inference,[],[88,379,586,388,386,287,289,86,129,103,132,131,130,116,137,122])).
% 2.35/2.44  cnf(696,plain,
% 2.35/2.44     (~E(f17(f19(a18)),f17(a4))),
% 2.35/2.44     inference(scs_inference,[],[88,92,374,379,518,586,388,386,287,289,86,129,103,132,131,130,116,137,122,2,169,82])).
% 2.35/2.44  cnf(700,plain,
% 2.35/2.44     (P1(f28(a1,a4))),
% 2.35/2.44     inference(scs_inference,[],[88,92,350,648,374,379,518,586,388,282,386,287,289,86,129,103,132,131,130,116,137,122,2,169,82,126,119])).
% 2.35/2.44  cnf(711,plain,
% 2.35/2.44     (P1(f30(f28(a1,a4),f28(a1,a4)))),
% 2.35/2.44     inference(scs_inference,[],[700,129])).
% 2.35/2.44  cnf(733,plain,
% 2.35/2.44     (P3(f29(f29(a34,a34),f29(a34,a34)))),
% 2.35/2.44     inference(scs_inference,[],[98,700,687,691,617,580,648,380,354,289,282,285,129,133,151,162,116,103,130,126,125,150,132])).
% 2.35/2.44  cnf(735,plain,
% 2.35/2.44     (P3(f3(f29(a34,a34),f29(a34,a34)))),
% 2.35/2.44     inference(scs_inference,[],[98,700,687,691,617,580,648,380,354,289,282,285,129,133,151,162,116,103,130,126,125,150,132,131])).
% 2.35/2.44  cnf(739,plain,
% 2.35/2.44     (~E(f17(f19(a18)),f17(a18))),
% 2.35/2.44     inference(scs_inference,[],[93,98,700,689,510,687,691,617,580,648,380,354,586,289,282,285,129,133,151,162,116,103,130,126,125,150,132,131,147,82])).
% 2.35/2.44  cnf(775,plain,
% 2.35/2.44     (P1(f7(a18,a18))),
% 2.35/2.44     inference(scs_inference,[],[289,354,133])).
% 2.35/2.44  cnf(785,plain,
% 2.35/2.44     (P1(f10(a18,a18))),
% 2.35/2.44     inference(scs_inference,[],[98,289,354,420,285,133,151,150,162,165,134])).
% 2.35/2.44  cnf(797,plain,
% 2.35/2.44     (~E(f17(a4),f17(f19(a18)))),
% 2.35/2.44     inference(scs_inference,[],[89,194,98,94,696,739,350,687,691,289,354,420,285,133,151,150,162,165,134,144,121,147,161,67,33,2])).
% 2.35/2.44  cnf(841,plain,
% 2.35/2.44     (E(a1,f28(a1,a32))),
% 2.35/2.44     inference(scs_inference,[],[197,91,195,98,711,272,580,586,285,125,134,133,147,151,150,162,161,33,2])).
% 2.35/2.44  cnf(842,plain,
% 2.35/2.44     (P1(f28(a1,a32))),
% 2.35/2.44     inference(scs_inference,[],[197,91,195,98,711,272,580,586,285,125,134,133,147,151,150,162,161,33,2,283])).
% 2.35/2.44  cnf(843,plain,
% 2.35/2.44     (E(f30(f30(a1,a1),f31(f30(a1,a1))),a1)),
% 2.35/2.44     inference(scs_inference,[],[197,91,195,98,711,356,272,580,586,285,125,134,133,147,151,150,162,161,33,2,283,113])).
% 2.35/2.44  cnf(899,plain,
% 2.35/2.44     (P5(a36,a36,a35)+P4(a1,x8991)+~E(x8991,f2(a1))),
% 2.35/2.44     inference(scs_inference,[],[90,93,197,192,384,284,797,679,843,841,209,348,352,504,586,420,88,86,85,110,109,142,73,72,66,3,33,2,174,120,128,186,190,101,115,84,65,138])).
% 2.35/2.44  cnf(969,plain,
% 2.35/2.44     (E(f2(f30(a1,a1)),f2(a1))),
% 2.35/2.44     inference(scs_inference,[],[199,735,27,100,62,59,57,56,55,54,49,48,47,40,31,30,29,28,26,24,23,22,21,20,15,14,13,12,11,10,7,4])).
% 2.35/2.44  cnf(984,plain,
% 2.35/2.44     (E(f28(x9841,f30(a1,a1)),f28(x9841,a1))),
% 2.35/2.44     inference(scs_inference,[],[199,735,582,88,86,27,100,62,59,57,56,55,54,49,48,47,40,31,30,29,28,26,24,23,22,21,20,15,14,13,12,11,10,7,4,136,64,58,52,51,50,46,44,43,41,39,37,36,35])).
% 2.35/2.44  cnf(994,plain,
% 2.35/2.44     (E(a1,f30(a1,a1))),
% 2.35/2.44     inference(scs_inference,[],[199,96,193,98,735,842,582,88,86,27,100,62,59,57,56,55,54,49,48,47,40,31,30,29,28,26,24,23,22,21,20,15,14,13,12,11,10,7,4,136,64,58,52,51,50,46,44,43,41,39,37,36,35,32,25,17,9,8,142,3,33,2])).
% 2.35/2.44  cnf(997,plain,
% 2.35/2.44     (P4(a1,f2(f30(a1,a1)))),
% 2.35/2.44     inference(scs_inference,[],[199,96,193,98,735,842,582,205,88,86,85,27,100,62,59,57,56,55,54,49,48,47,40,31,30,29,28,26,24,23,22,21,20,15,14,13,12,11,10,7,4,136,64,58,52,51,50,46,44,43,41,39,37,36,35,32,25,17,9,8,142,3,33,2,899,138])).
% 2.35/2.44  cnf(1019,plain,
% 2.35/2.44     (P6(f2(f30(a1,a1)))),
% 2.35/2.44     inference(scs_inference,[],[997,969,85,167,106])).
% 2.35/2.44  cnf(1048,plain,
% 2.35/2.44     (~E(f19(a18),a1)),
% 2.35/2.44     inference(scs_inference,[],[775,287,289,130,129,116])).
% 2.35/2.44  cnf(1054,plain,
% 2.35/2.44     (P4(f19(a18),a34)),
% 2.35/2.44     inference(scs_inference,[],[775,287,209,289,130,129,116,132,131,122])).
% 2.35/2.44  cnf(1060,plain,
% 2.35/2.44     (P1(f28(a32,a1))),
% 2.35/2.44     inference(scs_inference,[],[201,1019,775,969,994,287,209,289,130,129,116,132,131,122,68,3,33,2,283])).
% 2.35/2.44  cnf(1102,plain,
% 2.35/2.44     ($false),
% 2.35/2.44     inference(scs_inference,[],[194,98,733,984,785,1060,1048,1054,356,689,382,86,136,129,100,130,132,131,116,122,144]),
% 2.35/2.44     ['proof']).
% 2.35/2.44  % SZS output end Proof
% 2.35/2.44  % Total time :1.860000s
%------------------------------------------------------------------------------