TSTP Solution File: RNG125+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : RNG125+1 : 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 : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:48:18 EDT 2023

% Result   : Theorem 0.87s 0.96s
% Output   : CNFRefutation 0.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : RNG125+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34  % Computer : n011.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 01:29:09 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.57  start to proof:theBenchmark
% 0.87/0.94  %-------------------------------------------
% 0.87/0.94  % File        :CSE---1.6
% 0.87/0.94  % Problem     :theBenchmark
% 0.87/0.94  % Transform   :cnf
% 0.87/0.94  % Format      :tptp:raw
% 0.87/0.94  % Command     :java -jar mcs_scs.jar %d %s
% 0.87/0.94  
% 0.87/0.94  % Result      :Theorem 0.290000s
% 0.87/0.94  % Output      :CNFRefutation 0.290000s
% 0.87/0.94  %-------------------------------------------
% 0.87/0.95  %------------------------------------------------------------------------------
% 0.87/0.95  % File     : RNG125+1 : TPTP v8.1.2. Released v4.0.0.
% 0.87/0.95  % Domain   : Ring Theory
% 0.87/0.95  % Problem  : Chinese remainder theorem in a ring 07_05_04, 00 expansion
% 0.87/0.95  % Version  : Especial.
% 0.87/0.95  % English  :
% 0.87/0.95  
% 0.87/0.95  % Refs     : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.87/0.95  %          : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.87/0.95  % Source   : [Pas08]
% 0.87/0.95  % Names    : chines_07_05_04.00 [Pas08]
% 0.87/0.95  
% 0.87/0.95  % Status   : ContradictoryAxioms
% 0.87/0.95  % Rating   : 0.14 v8.1.0, 0.06 v7.5.0, 0.09 v7.4.0, 0.29 v7.3.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.17 v5.5.0, 0.22 v5.4.0, 0.25 v5.3.0, 0.26 v5.2.0, 0.10 v5.1.0, 0.24 v5.0.0, 0.33 v4.1.0, 0.43 v4.0.1, 0.78 v4.0.0
% 0.87/0.95  % Syntax   : Number of formulae    :   50 (   7 unt;   9 def)
% 0.87/0.95  %            Number of atoms       :  178 (  38 equ)
% 0.87/0.95  %            Maximal formula atoms :    9 (   3 avg)
% 0.87/0.95  %            Number of connectives :  143 (  15   ~;   2   |;  65   &)
% 0.87/0.95  %                                         (  12 <=>;  49  =>;   0  <=;   0 <~>)
% 0.87/0.95  %            Maximal formula depth :   13 (   5 avg)
% 0.87/0.95  %            Maximal term depth    :    3 (   1 avg)
% 0.87/0.95  %            Number of predicates  :   14 (  11 usr;   2 prp; 0-3 aty)
% 0.87/0.95  %            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
% 0.87/0.95  %            Number of variables   :   88 (  78   !;  10   ?)
% 0.87/0.95  % SPC      : FOF_CAX_RFO_SEQ
% 0.87/0.95  
% 0.87/0.95  % Comments : Problem generated by the SAD system [VLP07]
% 0.87/0.95  %------------------------------------------------------------------------------
% 0.87/0.95  fof(mElmSort,axiom,
% 0.87/0.95      ! [W0] :
% 0.87/0.95        ( aElement0(W0)
% 0.87/0.95       => $true ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mSortsC,axiom,
% 0.87/0.95      aElement0(sz00) ).
% 0.87/0.95  
% 0.87/0.95  fof(mSortsC_01,axiom,
% 0.87/0.95      aElement0(sz10) ).
% 0.87/0.95  
% 0.87/0.95  fof(mSortsU,axiom,
% 0.87/0.95      ! [W0] :
% 0.87/0.95        ( aElement0(W0)
% 0.87/0.95       => aElement0(smndt0(W0)) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mSortsB,axiom,
% 0.87/0.95      ! [W0,W1] :
% 0.87/0.95        ( ( aElement0(W0)
% 0.87/0.95          & aElement0(W1) )
% 0.87/0.95       => aElement0(sdtpldt0(W0,W1)) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mSortsB_02,axiom,
% 0.87/0.95      ! [W0,W1] :
% 0.87/0.95        ( ( aElement0(W0)
% 0.87/0.95          & aElement0(W1) )
% 0.87/0.95       => aElement0(sdtasdt0(W0,W1)) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mAddComm,axiom,
% 0.87/0.95      ! [W0,W1] :
% 0.87/0.95        ( ( aElement0(W0)
% 0.87/0.95          & aElement0(W1) )
% 0.87/0.95       => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mAddAsso,axiom,
% 0.87/0.95      ! [W0,W1,W2] :
% 0.87/0.95        ( ( aElement0(W0)
% 0.87/0.95          & aElement0(W1)
% 0.87/0.95          & aElement0(W2) )
% 0.87/0.95       => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mAddZero,axiom,
% 0.87/0.95      ! [W0] :
% 0.87/0.95        ( aElement0(W0)
% 0.87/0.95       => ( sdtpldt0(W0,sz00) = W0
% 0.87/0.95          & W0 = sdtpldt0(sz00,W0) ) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mAddInvr,axiom,
% 0.87/0.95      ! [W0] :
% 0.87/0.95        ( aElement0(W0)
% 0.87/0.95       => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 0.87/0.95          & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mMulComm,axiom,
% 0.87/0.95      ! [W0,W1] :
% 0.87/0.95        ( ( aElement0(W0)
% 0.87/0.95          & aElement0(W1) )
% 0.87/0.95       => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mMulAsso,axiom,
% 0.87/0.95      ! [W0,W1,W2] :
% 0.87/0.95        ( ( aElement0(W0)
% 0.87/0.95          & aElement0(W1)
% 0.87/0.95          & aElement0(W2) )
% 0.87/0.95       => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mMulUnit,axiom,
% 0.87/0.95      ! [W0] :
% 0.87/0.95        ( aElement0(W0)
% 0.87/0.95       => ( sdtasdt0(W0,sz10) = W0
% 0.87/0.95          & W0 = sdtasdt0(sz10,W0) ) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mAMDistr,axiom,
% 0.87/0.95      ! [W0,W1,W2] :
% 0.87/0.95        ( ( aElement0(W0)
% 0.87/0.95          & aElement0(W1)
% 0.87/0.95          & aElement0(W2) )
% 0.87/0.95       => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.87/0.95          & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mMulMnOne,axiom,
% 0.87/0.95      ! [W0] :
% 0.87/0.95        ( aElement0(W0)
% 0.87/0.95       => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 0.87/0.95          & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mMulZero,axiom,
% 0.87/0.95      ! [W0] :
% 0.87/0.95        ( aElement0(W0)
% 0.87/0.95       => ( sdtasdt0(W0,sz00) = sz00
% 0.87/0.95          & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mCancel,axiom,
% 0.87/0.95      ! [W0,W1] :
% 0.87/0.95        ( ( aElement0(W0)
% 0.87/0.95          & aElement0(W1) )
% 0.87/0.95       => ( sdtasdt0(W0,W1) = sz00
% 0.87/0.95         => ( W0 = sz00
% 0.87/0.95            | W1 = sz00 ) ) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mUnNeZr,axiom,
% 0.87/0.95      sz10 != sz00 ).
% 0.87/0.95  
% 0.87/0.95  fof(mSetSort,axiom,
% 0.87/0.95      ! [W0] :
% 0.87/0.95        ( aSet0(W0)
% 0.87/0.95       => $true ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mEOfElem,axiom,
% 0.87/0.95      ! [W0] :
% 0.87/0.95        ( aSet0(W0)
% 0.87/0.95       => ! [W1] :
% 0.87/0.95            ( aElementOf0(W1,W0)
% 0.87/0.95           => aElement0(W1) ) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mSetEq,axiom,
% 0.87/0.95      ! [W0,W1] :
% 0.87/0.95        ( ( aSet0(W0)
% 0.87/0.95          & aSet0(W1) )
% 0.87/0.95       => ( ( ! [W2] :
% 0.87/0.95                ( aElementOf0(W2,W0)
% 0.87/0.95               => aElementOf0(W2,W1) )
% 0.87/0.95            & ! [W2] :
% 0.87/0.95                ( aElementOf0(W2,W1)
% 0.87/0.95               => aElementOf0(W2,W0) ) )
% 0.87/0.95         => W0 = W1 ) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mDefSSum,definition,
% 0.87/0.95      ! [W0,W1] :
% 0.87/0.95        ( ( aSet0(W0)
% 0.87/0.95          & aSet0(W1) )
% 0.87/0.95       => ! [W2] :
% 0.87/0.95            ( W2 = sdtpldt1(W0,W1)
% 0.87/0.95          <=> ( aSet0(W2)
% 0.87/0.95              & ! [W3] :
% 0.87/0.95                  ( aElementOf0(W3,W2)
% 0.87/0.95                <=> ? [W4,W5] :
% 0.87/0.95                      ( aElementOf0(W4,W0)
% 0.87/0.95                      & aElementOf0(W5,W1)
% 0.87/0.95                      & sdtpldt0(W4,W5) = W3 ) ) ) ) ) ).
% 0.87/0.95  
% 0.87/0.95  fof(mDefSInt,definition,
% 0.87/0.95      ! [W0,W1] :
% 0.87/0.95        ( ( aSet0(W0)
% 0.87/0.95          & aSet0(W1) )
% 0.87/0.96       => ! [W2] :
% 0.87/0.96            ( W2 = sdtasasdt0(W0,W1)
% 0.87/0.96          <=> ( aSet0(W2)
% 0.87/0.96              & ! [W3] :
% 0.87/0.96                  ( aElementOf0(W3,W2)
% 0.87/0.96                <=> ( aElementOf0(W3,W0)
% 0.87/0.96                    & aElementOf0(W3,W1) ) ) ) ) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mDefIdeal,definition,
% 0.87/0.96      ! [W0] :
% 0.87/0.96        ( aIdeal0(W0)
% 0.87/0.96      <=> ( aSet0(W0)
% 0.87/0.96          & ! [W1] :
% 0.87/0.96              ( aElementOf0(W1,W0)
% 0.87/0.96             => ( ! [W2] :
% 0.87/0.96                    ( aElementOf0(W2,W0)
% 0.87/0.96                   => aElementOf0(sdtpldt0(W1,W2),W0) )
% 0.87/0.96                & ! [W2] :
% 0.87/0.96                    ( aElement0(W2)
% 0.87/0.96                   => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mIdeSum,axiom,
% 0.87/0.96      ! [W0,W1] :
% 0.87/0.96        ( ( aIdeal0(W0)
% 0.87/0.96          & aIdeal0(W1) )
% 0.87/0.96       => aIdeal0(sdtpldt1(W0,W1)) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mIdeInt,axiom,
% 0.87/0.96      ! [W0,W1] :
% 0.87/0.96        ( ( aIdeal0(W0)
% 0.87/0.96          & aIdeal0(W1) )
% 0.87/0.96       => aIdeal0(sdtasasdt0(W0,W1)) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mDefMod,definition,
% 0.87/0.96      ! [W0,W1,W2] :
% 0.87/0.96        ( ( aElement0(W0)
% 0.87/0.96          & aElement0(W1)
% 0.87/0.96          & aIdeal0(W2) )
% 0.87/0.96       => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 0.87/0.96        <=> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2) ) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mChineseRemainder,axiom,
% 0.87/0.96      ! [W0,W1] :
% 0.87/0.96        ( ( aIdeal0(W0)
% 0.87/0.96          & aIdeal0(W1) )
% 0.87/0.96       => ( ! [W2] :
% 0.87/0.96              ( aElement0(W2)
% 0.87/0.96             => aElementOf0(W2,sdtpldt1(W0,W1)) )
% 0.87/0.96         => ! [W2,W3] :
% 0.87/0.96              ( ( aElement0(W2)
% 0.87/0.96                & aElement0(W3) )
% 0.87/0.96             => ? [W4] :
% 0.87/0.96                  ( aElement0(W4)
% 0.87/0.96                  & sdteqdtlpzmzozddtrp0(W4,W2,W0)
% 0.87/0.96                  & sdteqdtlpzmzozddtrp0(W4,W3,W1) ) ) ) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mNatSort,axiom,
% 0.87/0.96      ! [W0] :
% 0.87/0.96        ( aNaturalNumber0(W0)
% 0.87/0.96       => $true ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mEucSort,axiom,
% 0.87/0.96      ! [W0] :
% 0.87/0.96        ( ( aElement0(W0)
% 0.87/0.96          & W0 != sz00 )
% 0.87/0.96       => aNaturalNumber0(sbrdtbr0(W0)) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mNatLess,axiom,
% 0.87/0.96      ! [W0,W1] :
% 0.87/0.96        ( ( aNaturalNumber0(W0)
% 0.87/0.96          & aNaturalNumber0(W1) )
% 0.87/0.96       => ( iLess0(W0,W1)
% 0.87/0.96         => $true ) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mDivision,axiom,
% 0.87/0.96      ! [W0,W1] :
% 0.87/0.96        ( ( aElement0(W0)
% 0.87/0.96          & aElement0(W1)
% 0.87/0.96          & W1 != sz00 )
% 0.87/0.96       => ? [W2,W3] :
% 0.87/0.96            ( aElement0(W2)
% 0.87/0.96            & aElement0(W3)
% 0.87/0.96            & W0 = sdtpldt0(sdtasdt0(W2,W1),W3)
% 0.87/0.96            & ( W3 != sz00
% 0.87/0.96             => iLess0(sbrdtbr0(W3),sbrdtbr0(W1)) ) ) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mDefDiv,definition,
% 0.87/0.96      ! [W0,W1] :
% 0.87/0.96        ( ( aElement0(W0)
% 0.87/0.96          & aElement0(W1) )
% 0.87/0.96       => ( doDivides0(W0,W1)
% 0.87/0.96        <=> ? [W2] :
% 0.87/0.96              ( aElement0(W2)
% 0.87/0.96              & sdtasdt0(W0,W2) = W1 ) ) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mDefDvs,definition,
% 0.87/0.96      ! [W0] :
% 0.87/0.96        ( aElement0(W0)
% 0.87/0.96       => ! [W1] :
% 0.87/0.96            ( aDivisorOf0(W1,W0)
% 0.87/0.96          <=> ( aElement0(W1)
% 0.87/0.96              & doDivides0(W1,W0) ) ) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mDefGCD,definition,
% 0.87/0.96      ! [W0,W1] :
% 0.87/0.96        ( ( aElement0(W0)
% 0.87/0.96          & aElement0(W1) )
% 0.87/0.96       => ! [W2] :
% 0.87/0.96            ( aGcdOfAnd0(W2,W0,W1)
% 0.87/0.96          <=> ( aDivisorOf0(W2,W0)
% 0.87/0.96              & aDivisorOf0(W2,W1)
% 0.87/0.96              & ! [W3] :
% 0.87/0.96                  ( ( aDivisorOf0(W3,W0)
% 0.87/0.96                    & aDivisorOf0(W3,W1) )
% 0.87/0.96                 => doDivides0(W3,W2) ) ) ) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mDefRel,definition,
% 0.87/0.96      ! [W0,W1] :
% 0.87/0.96        ( ( aElement0(W0)
% 0.87/0.96          & aElement0(W1) )
% 0.87/0.96       => ( misRelativelyPrime0(W0,W1)
% 0.87/0.96        <=> aGcdOfAnd0(sz10,W0,W1) ) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mDefPrIdeal,definition,
% 0.87/0.96      ! [W0] :
% 0.87/0.96        ( aElement0(W0)
% 0.87/0.96       => ! [W1] :
% 0.87/0.96            ( W1 = slsdtgt0(W0)
% 0.87/0.96          <=> ( aSet0(W1)
% 0.87/0.96              & ! [W2] :
% 0.87/0.96                  ( aElementOf0(W2,W1)
% 0.87/0.96                <=> ? [W3] :
% 0.87/0.96                      ( aElement0(W3)
% 0.87/0.96                      & sdtasdt0(W0,W3) = W2 ) ) ) ) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(mPrIdeal,axiom,
% 0.87/0.96      ! [W0] :
% 0.87/0.96        ( aElement0(W0)
% 0.87/0.96       => aIdeal0(slsdtgt0(W0)) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(m__2091,hypothesis,
% 0.87/0.96      ( aElement0(xa)
% 0.87/0.96      & aElement0(xb) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(m__2110,hypothesis,
% 0.87/0.96      ( xa != sz00
% 0.87/0.96      | xb != sz00 ) ).
% 0.87/0.96  
% 0.87/0.96  fof(m__2129,hypothesis,
% 0.87/0.96      aGcdOfAnd0(xc,xa,xb) ).
% 0.87/0.96  
% 0.87/0.96  fof(m__2174,hypothesis,
% 0.87/0.96      ( aIdeal0(xI)
% 0.87/0.96      & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(m__2203,hypothesis,
% 0.87/0.96      ( aElementOf0(sz00,slsdtgt0(xa))
% 0.87/0.96      & aElementOf0(xa,slsdtgt0(xa))
% 0.87/0.96      & aElementOf0(sz00,slsdtgt0(xb))
% 0.87/0.96      & aElementOf0(xb,slsdtgt0(xb)) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(m__2228,hypothesis,
% 0.87/0.96      ? [W0] :
% 0.87/0.96        ( aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
% 0.87/0.96        & W0 != sz00 ) ).
% 0.87/0.96  
% 0.87/0.96  fof(m__2273,hypothesis,
% 0.87/0.96      ( aElementOf0(xu,xI)
% 0.87/0.96      & xu != sz00
% 0.87/0.96      & ! [W0] :
% 0.87/0.96          ( ( aElementOf0(W0,xI)
% 0.87/0.96            & W0 != sz00 )
% 0.87/0.96         => ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(m__2383,hypothesis,
% 0.87/0.96      ~ ( aDivisorOf0(xu,xa)
% 0.87/0.96        & aDivisorOf0(xu,xb) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(m__2416,hypothesis,
% 0.87/0.96      ? [W0,W1] :
% 0.87/0.96        ( aElement0(W0)
% 0.87/0.96        & aElement0(W1)
% 0.87/0.96        & xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1)) ) ).
% 0.87/0.96  
% 0.87/0.96  fof(m__2479,hypothesis,
% 0.87/0.96      ~ ~ doDivides0(xu,xa) ).
% 0.87/0.96  
% 0.87/0.96  fof(m__2612,hypothesis,
% 0.87/0.96      ~ ~ doDivides0(xu,xb) ).
% 0.87/0.96  
% 0.87/0.96  fof(m__,conjecture,
% 0.87/0.96      $false ).
% 0.87/0.96  
% 0.87/0.96  %------------------------------------------------------------------------------
% 0.87/0.96  %-------------------------------------------
% 0.87/0.96  % Proof found
% 0.87/0.96  % SZS status Theorem for theBenchmark
% 0.87/0.96  % SZS output start Proof
% 0.87/0.96  %ClaNum:193(EqnAxiom:83)
% 0.87/0.96  %VarNum:704(SingletonVarNum:214)
% 0.87/0.96  %MaxLitNum:8
% 0.87/0.96  %MaxfuncDepth:2
% 0.87/0.96  %SharedTerms:43
% 0.87/0.96  [84]P1(a1)
% 0.87/0.96  [85]P1(a32)
% 0.87/0.96  [86]P1(a33)
% 0.87/0.96  [87]P1(a35)
% 0.87/0.96  [88]P1(a2)
% 0.87/0.96  [89]P1(a16)
% 0.87/0.96  [90]P3(a34)
% 0.87/0.96  [91]P4(a36,a34)
% 0.87/0.96  [92]P6(a36,a33)
% 0.87/0.96  [93]P6(a36,a35)
% 0.87/0.96  [99]P5(a37,a33,a35)
% 0.87/0.96  [102]~E(a1,a32)
% 0.87/0.96  [103]~E(a1,a36)
% 0.87/0.96  [104]~E(a3,a1)
% 0.87/0.96  [94]P4(a1,f17(a33))
% 0.87/0.96  [95]P4(a1,f17(a35))
% 0.87/0.96  [96]P4(a33,f17(a33))
% 0.87/0.96  [97]P4(a35,f17(a35))
% 0.87/0.96  [98]E(f18(f17(a33),f17(a35)),a34)
% 0.87/0.96  [100]P4(a3,f18(f17(a33),f17(a35)))
% 0.87/0.96  [101]E(f30(f19(a33,a2),f19(a35,a16)),a36)
% 0.87/0.96  [105]~E(a1,a33)+~E(a1,a35)
% 0.87/0.96  [124]~P2(a36,a33)+~P2(a36,a35)
% 0.87/0.96  [106]~P3(x1061)+P7(x1061)
% 0.87/0.96  [107]~P1(x1071)+P1(f31(x1071))
% 0.87/0.96  [108]~P1(x1081)+P3(f17(x1081))
% 0.87/0.96  [110]~P1(x1101)+E(f19(a1,x1101),a1)
% 0.87/0.96  [111]~P1(x1111)+E(f19(x1111,a1),a1)
% 0.87/0.96  [113]~P1(x1131)+E(f30(a1,x1131),x1131)
% 0.87/0.96  [114]~P1(x1141)+E(f19(a32,x1141),x1141)
% 0.87/0.96  [115]~P1(x1151)+E(f30(x1151,a1),x1151)
% 0.87/0.96  [116]~P1(x1161)+E(f19(x1161,a32),x1161)
% 0.87/0.96  [117]~P1(x1171)+E(f30(f31(x1171),x1171),a1)
% 0.87/0.96  [118]~P1(x1181)+E(f30(x1181,f31(x1181)),a1)
% 0.87/0.96  [119]~P1(x1191)+E(f19(x1191,f31(a32)),f31(x1191))
% 0.87/0.96  [120]~P1(x1201)+E(f19(f31(a32),x1201),f31(x1201))
% 0.87/0.96  [109]~P1(x1091)+E(x1091,a1)+P8(f20(x1091))
% 0.87/0.96  [121]~P7(x1211)+P3(x1211)+P4(f21(x1211),x1211)
% 0.87/0.96  [139]~P4(x1391,a34)+E(x1391,a1)+~P9(f20(x1391),f20(a36))
% 0.87/0.96  [122]~P4(x1221,x1222)+P1(x1221)+~P7(x1222)
% 0.87/0.96  [123]~P2(x1231,x1232)+P1(x1231)+~P1(x1232)
% 0.87/0.96  [131]~P1(x1312)+~P2(x1311,x1312)+P6(x1311,x1312)
% 0.87/0.96  [112]~P1(x1122)+P7(x1121)+~E(x1121,f17(x1122))
% 0.87/0.96  [126]~P1(x1262)+~P1(x1261)+E(f30(x1261,x1262),f30(x1262,x1261))
% 0.87/0.96  [127]~P1(x1272)+~P1(x1271)+E(f19(x1271,x1272),f19(x1272,x1271))
% 0.87/0.96  [132]~P1(x1322)+~P1(x1321)+P1(f30(x1321,x1322))
% 0.87/0.96  [133]~P1(x1332)+~P1(x1331)+P1(f19(x1331,x1332))
% 0.87/0.96  [134]~P3(x1342)+~P3(x1341)+P3(f18(x1341,x1342))
% 0.87/0.96  [135]~P3(x1352)+~P3(x1351)+P3(f29(x1351,x1352))
% 0.87/0.96  [130]~P7(x1301)+P3(x1301)+P4(f5(x1301),x1301)+P1(f4(x1301))
% 0.87/0.96  [162]~P7(x1621)+P3(x1621)+P1(f4(x1621))+~P4(f30(f21(x1621),f5(x1621)),x1621)
% 0.87/0.96  [165]~P7(x1651)+P3(x1651)+P4(f5(x1651),x1651)+~P4(f19(f4(x1651),f21(x1651)),x1651)
% 0.87/0.96  [174]~P7(x1741)+P3(x1741)+~P4(f30(f21(x1741),f5(x1741)),x1741)+~P4(f19(f4(x1741),f21(x1741)),x1741)
% 0.87/0.96  [138]~P1(x1382)+~P1(x1381)+~P6(x1381,x1382)+P2(x1381,x1382)
% 0.87/0.96  [147]~P1(x1472)+~P1(x1471)+~P10(x1471,x1472)+P5(a32,x1471,x1472)
% 0.87/0.96  [155]~P1(x1552)+~P1(x1551)+P10(x1551,x1552)+~P5(a32,x1551,x1552)
% 0.87/0.96  [136]~P1(x1361)+~P1(x1362)+E(x1361,a1)+P1(f6(x1362,x1361))
% 0.87/0.96  [137]~P1(x1371)+~P1(x1372)+E(x1371,a1)+P1(f9(x1372,x1371))
% 0.87/0.96  [142]~P1(x1422)+~P1(x1421)+~P6(x1421,x1422)+P1(f10(x1421,x1422))
% 0.87/0.96  [146]~P1(x1462)+~P1(x1461)+~P6(x1461,x1462)+E(f19(x1461,f10(x1461,x1462)),x1462)
% 0.87/0.96  [167]~P1(x1671)+~P1(x1672)+E(x1671,a1)+E(f30(f19(f6(x1672,x1671),x1671),f9(x1672,x1671)),x1672)
% 0.87/0.96  [157]~P1(x1572)+~P5(x1571,x1573,x1572)+P2(x1571,x1572)+~P1(x1573)
% 0.87/0.96  [158]~P1(x1582)+~P5(x1581,x1582,x1583)+P2(x1581,x1582)+~P1(x1583)
% 0.87/0.96  [128]~P7(x1283)+~P7(x1282)+P7(x1281)+~E(x1281,f18(x1282,x1283))
% 0.87/0.96  [129]~P7(x1293)+~P7(x1292)+P7(x1291)+~E(x1291,f29(x1292,x1293))
% 0.87/0.96  [145]~P1(x1451)+~P3(x1453)+~P4(x1452,x1453)+P4(f19(x1451,x1452),x1453)
% 0.87/0.96  [149]~P3(x1493)+~P4(x1491,x1493)+~P4(x1492,x1493)+P4(f30(x1491,x1492),x1493)
% 0.87/0.96  [169]~P1(x1691)+~P4(x1693,x1692)+~E(x1692,f17(x1691))+P1(f13(x1691,x1692,x1693))
% 0.87/0.96  [152]~P1(x1523)+~P1(x1522)+~P1(x1521)+E(f30(f30(x1521,x1522),x1523),f30(x1521,f30(x1522,x1523)))
% 0.87/0.96  [153]~P1(x1533)+~P1(x1532)+~P1(x1531)+E(f19(f19(x1531,x1532),x1533),f19(x1531,f19(x1532,x1533)))
% 0.87/0.96  [163]~P1(x1633)+~P1(x1632)+~P1(x1631)+E(f30(f19(x1631,x1632),f19(x1631,x1633)),f19(x1631,f30(x1632,x1633)))
% 0.87/0.96  [164]~P1(x1642)+~P1(x1643)+~P1(x1641)+E(f30(f19(x1641,x1642),f19(x1643,x1642)),f19(f30(x1641,x1643),x1642))
% 0.87/0.96  [171]~P1(x1711)+~P4(x1713,x1712)+~E(x1712,f17(x1711))+E(f19(x1711,f13(x1711,x1712,x1713)),x1713)
% 0.87/0.96  [125]~P1(x1251)+~P1(x1252)+E(x1251,a1)+E(x1252,a1)+~E(f19(x1252,x1251),a1)
% 0.87/0.96  [148]~P1(x1482)+~P7(x1481)+P4(f12(x1482,x1481),x1481)+E(x1481,f17(x1482))+P1(f11(x1482,x1481))
% 0.87/0.96  [150]~P7(x1502)+~P7(x1501)+E(x1501,x1502)+P4(f15(x1501,x1502),x1501)+P4(f22(x1501,x1502),x1502)
% 0.87/0.96  [159]~P7(x1592)+~P7(x1591)+E(x1591,x1592)+P4(f15(x1591,x1592),x1591)+~P4(f22(x1591,x1592),x1591)
% 0.87/0.96  [160]~P7(x1602)+~P7(x1601)+E(x1601,x1602)+P4(f22(x1601,x1602),x1602)+~P4(f15(x1601,x1602),x1602)
% 0.87/0.96  [168]~P7(x1682)+~P7(x1681)+E(x1681,x1682)+~P4(f15(x1681,x1682),x1682)+~P4(f22(x1681,x1682),x1681)
% 0.87/0.96  [154]~P1(x1541)+~P1(x1542)+E(x1541,a1)+P9(f20(f9(x1542,x1541)),f20(x1541))+E(f9(x1542,x1541),a1)
% 0.87/0.96  [156]~P1(x1562)+~P7(x1561)+P4(f12(x1562,x1561),x1561)+E(x1561,f17(x1562))+E(f19(x1562,f11(x1562,x1561)),f12(x1562,x1561))
% 0.87/0.96  [140]~P1(x1402)+~P1(x1401)+~P1(x1403)+P6(x1401,x1402)+~E(f19(x1401,x1403),x1402)
% 0.87/0.96  [170]~P1(x1702)+~P1(x1701)+~P3(x1703)+P11(x1701,x1702,x1703)+~P4(f30(x1701,f31(x1702)),x1703)
% 0.87/0.96  [172]~P1(x1722)+~P1(x1721)+~P3(x1723)+~P11(x1721,x1722,x1723)+P4(f30(x1721,f31(x1722)),x1723)
% 0.87/0.96  [141]~P1(x1413)+~P1(x1414)+P4(x1411,x1412)+~E(f19(x1413,x1414),x1411)+~E(x1412,f17(x1413))
% 0.87/0.96  [143]~P7(x1434)+~P7(x1432)+~P4(x1431,x1433)+P4(x1431,x1432)+~E(x1433,f29(x1434,x1432))
% 0.87/0.96  [144]~P7(x1444)+~P7(x1442)+~P4(x1441,x1443)+P4(x1441,x1442)+~E(x1443,f29(x1442,x1444))
% 0.87/0.96  [185]~P7(x1852)+~P7(x1851)+~P4(x1854,x1853)+~E(x1853,f18(x1851,x1852))+P4(f24(x1851,x1852,x1853,x1854),x1851)
% 0.87/0.96  [186]~P7(x1862)+~P7(x1861)+~P4(x1864,x1863)+~E(x1863,f18(x1861,x1862))+P4(f25(x1861,x1862,x1863,x1864),x1862)
% 0.87/0.96  [193]~P7(x1932)+~P7(x1931)+~P4(x1934,x1933)+~E(x1933,f18(x1931,x1932))+E(f30(f24(x1931,x1932,x1933,x1934),f25(x1931,x1932,x1933,x1934)),x1934)
% 0.87/0.96  [166]~P1(x1663)+~P1(x1662)+~P7(x1661)+~P4(f12(x1662,x1661),x1661)+~E(f12(x1662,x1661),f19(x1662,x1663))+E(x1661,f17(x1662))
% 0.87/0.96  [175]~P1(x1753)+~P1(x1752)+~P2(x1751,x1753)+~P2(x1751,x1752)+P5(x1751,x1752,x1753)+P2(f14(x1752,x1753,x1751),x1753)
% 0.87/0.96  [176]~P1(x1763)+~P1(x1762)+~P2(x1761,x1763)+~P2(x1761,x1762)+P5(x1761,x1762,x1763)+P2(f14(x1762,x1763,x1761),x1762)
% 0.87/0.96  [177]~P7(x1771)+~P7(x1773)+~P7(x1772)+P4(f23(x1772,x1773,x1771),x1771)+P4(f26(x1772,x1773,x1771),x1772)+E(x1771,f18(x1772,x1773))
% 0.87/0.96  [178]~P7(x1781)+~P7(x1783)+~P7(x1782)+P4(f23(x1782,x1783,x1781),x1781)+P4(f27(x1782,x1783,x1781),x1783)+E(x1781,f18(x1782,x1783))
% 0.87/0.96  [179]~P7(x1791)+~P7(x1793)+~P7(x1792)+P4(f28(x1792,x1793,x1791),x1791)+P4(f28(x1792,x1793,x1791),x1793)+E(x1791,f29(x1792,x1793))
% 0.87/0.96  [180]~P7(x1801)+~P7(x1803)+~P7(x1802)+P4(f28(x1802,x1803,x1801),x1801)+P4(f28(x1802,x1803,x1801),x1802)+E(x1801,f29(x1802,x1803))
% 0.87/0.96  [181]~P1(x1813)+~P1(x1812)+~P2(x1811,x1813)+~P2(x1811,x1812)+P5(x1811,x1812,x1813)+~P6(f14(x1812,x1813,x1811),x1811)
% 0.87/0.97  [183]~P7(x1831)+~P7(x1833)+~P7(x1832)+P4(f23(x1832,x1833,x1831),x1831)+E(x1831,f18(x1832,x1833))+E(f30(f26(x1832,x1833,x1831),f27(x1832,x1833,x1831)),f23(x1832,x1833,x1831))
% 0.87/0.97  [173]~P2(x1731,x1733)+~P2(x1731,x1734)+~P5(x1732,x1734,x1733)+P6(x1731,x1732)+~P1(x1733)+~P1(x1734)
% 0.87/0.97  [151]~P7(x1514)+~P7(x1513)+~P4(x1511,x1514)+~P4(x1511,x1513)+P4(x1511,x1512)+~E(x1512,f29(x1513,x1514))
% 0.87/0.97  [184]~P1(x1844)+~P1(x1843)+~P3(x1842)+~P3(x1841)+P1(f7(x1841,x1842))+P1(f8(x1841,x1842,x1843,x1844))
% 0.87/0.97  [187]~P1(x1874)+~P1(x1873)+~P3(x1872)+~P3(x1871)+P11(f8(x1871,x1872,x1873,x1874),x1874,x1872)+P1(f7(x1871,x1872))
% 0.87/0.97  [188]~P1(x1884)+~P1(x1883)+~P3(x1882)+~P3(x1881)+P11(f8(x1881,x1882,x1883,x1884),x1883,x1881)+P1(f7(x1881,x1882))
% 0.87/0.97  [190]~P1(x1904)+~P1(x1903)+~P3(x1902)+~P3(x1901)+~P4(f7(x1901,x1902),f18(x1901,x1902))+P1(f8(x1901,x1902,x1903,x1904))
% 0.87/0.97  [191]~P1(x1914)+~P1(x1913)+~P3(x1912)+~P3(x1911)+P11(f8(x1911,x1912,x1913,x1914),x1914,x1912)+~P4(f7(x1911,x1912),f18(x1911,x1912))
% 0.87/0.97  [192]~P1(x1924)+~P1(x1923)+~P3(x1922)+~P3(x1921)+P11(f8(x1921,x1922,x1923,x1924),x1923,x1921)+~P4(f7(x1921,x1922),f18(x1921,x1922))
% 0.87/0.97  [189]~P7(x1891)+~P7(x1893)+~P7(x1892)+~P4(f28(x1892,x1893,x1891),x1891)+~P4(f28(x1892,x1893,x1891),x1893)+~P4(f28(x1892,x1893,x1891),x1892)+E(x1891,f29(x1892,x1893))
% 0.87/0.97  [161]~P7(x1614)+~P7(x1613)+~P4(x1616,x1614)+~P4(x1615,x1613)+P4(x1611,x1612)+~E(x1612,f18(x1613,x1614))+~E(f30(x1615,x1616),x1611)
% 0.87/0.97  [182]~P7(x1821)+~P7(x1823)+~P7(x1822)+~P4(x1825,x1823)+~P4(x1824,x1822)+~P4(f23(x1822,x1823,x1821),x1821)+E(x1821,f18(x1822,x1823))+~E(f30(x1824,x1825),f23(x1822,x1823,x1821))
% 0.87/0.97  %EqnAxiom
% 0.87/0.97  [1]E(x11,x11)
% 0.87/0.97  [2]E(x22,x21)+~E(x21,x22)
% 0.87/0.97  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.87/0.97  [4]~E(x41,x42)+E(f17(x41),f17(x42))
% 0.87/0.97  [5]~E(x51,x52)+E(f18(x51,x53),f18(x52,x53))
% 0.87/0.97  [6]~E(x61,x62)+E(f18(x63,x61),f18(x63,x62))
% 0.87/0.97  [7]~E(x71,x72)+E(f30(x71,x73),f30(x72,x73))
% 0.87/0.97  [8]~E(x81,x82)+E(f30(x83,x81),f30(x83,x82))
% 0.87/0.97  [9]~E(x91,x92)+E(f25(x91,x93,x94,x95),f25(x92,x93,x94,x95))
% 0.87/0.97  [10]~E(x101,x102)+E(f25(x103,x101,x104,x105),f25(x103,x102,x104,x105))
% 0.87/0.97  [11]~E(x111,x112)+E(f25(x113,x114,x111,x115),f25(x113,x114,x112,x115))
% 0.87/0.97  [12]~E(x121,x122)+E(f25(x123,x124,x125,x121),f25(x123,x124,x125,x122))
% 0.87/0.97  [13]~E(x131,x132)+E(f24(x131,x133,x134,x135),f24(x132,x133,x134,x135))
% 0.87/0.97  [14]~E(x141,x142)+E(f24(x143,x141,x144,x145),f24(x143,x142,x144,x145))
% 0.87/0.97  [15]~E(x151,x152)+E(f24(x153,x154,x151,x155),f24(x153,x154,x152,x155))
% 0.87/0.97  [16]~E(x161,x162)+E(f24(x163,x164,x165,x161),f24(x163,x164,x165,x162))
% 0.87/0.97  [17]~E(x171,x172)+E(f28(x171,x173,x174),f28(x172,x173,x174))
% 0.87/0.97  [18]~E(x181,x182)+E(f28(x183,x181,x184),f28(x183,x182,x184))
% 0.87/0.97  [19]~E(x191,x192)+E(f28(x193,x194,x191),f28(x193,x194,x192))
% 0.87/0.97  [20]~E(x201,x202)+E(f29(x201,x203),f29(x202,x203))
% 0.87/0.97  [21]~E(x211,x212)+E(f29(x213,x211),f29(x213,x212))
% 0.87/0.97  [22]~E(x221,x222)+E(f7(x221,x223),f7(x222,x223))
% 0.87/0.97  [23]~E(x231,x232)+E(f7(x233,x231),f7(x233,x232))
% 0.87/0.97  [24]~E(x241,x242)+E(f8(x241,x243,x244,x245),f8(x242,x243,x244,x245))
% 0.87/0.97  [25]~E(x251,x252)+E(f8(x253,x251,x254,x255),f8(x253,x252,x254,x255))
% 0.87/0.97  [26]~E(x261,x262)+E(f8(x263,x264,x261,x265),f8(x263,x264,x262,x265))
% 0.87/0.97  [27]~E(x271,x272)+E(f8(x273,x274,x275,x271),f8(x273,x274,x275,x272))
% 0.87/0.97  [28]~E(x281,x282)+E(f19(x281,x283),f19(x282,x283))
% 0.87/0.97  [29]~E(x291,x292)+E(f19(x293,x291),f19(x293,x292))
% 0.87/0.97  [30]~E(x301,x302)+E(f4(x301),f4(x302))
% 0.87/0.97  [31]~E(x311,x312)+E(f5(x311),f5(x312))
% 0.87/0.97  [32]~E(x321,x322)+E(f27(x321,x323,x324),f27(x322,x323,x324))
% 0.87/0.97  [33]~E(x331,x332)+E(f27(x333,x331,x334),f27(x333,x332,x334))
% 0.87/0.97  [34]~E(x341,x342)+E(f27(x343,x344,x341),f27(x343,x344,x342))
% 0.87/0.97  [35]~E(x351,x352)+E(f31(x351),f31(x352))
% 0.87/0.97  [36]~E(x361,x362)+E(f14(x361,x363,x364),f14(x362,x363,x364))
% 0.87/0.97  [37]~E(x371,x372)+E(f14(x373,x371,x374),f14(x373,x372,x374))
% 0.87/0.97  [38]~E(x381,x382)+E(f14(x383,x384,x381),f14(x383,x384,x382))
% 0.87/0.97  [39]~E(x391,x392)+E(f20(x391),f20(x392))
% 0.87/0.97  [40]~E(x401,x402)+E(f21(x401),f21(x402))
% 0.87/0.97  [41]~E(x411,x412)+E(f23(x411,x413,x414),f23(x412,x413,x414))
% 0.87/0.97  [42]~E(x421,x422)+E(f23(x423,x421,x424),f23(x423,x422,x424))
% 0.87/0.97  [43]~E(x431,x432)+E(f23(x433,x434,x431),f23(x433,x434,x432))
% 0.87/0.97  [44]~E(x441,x442)+E(f9(x441,x443),f9(x442,x443))
% 0.87/0.97  [45]~E(x451,x452)+E(f9(x453,x451),f9(x453,x452))
% 0.87/0.97  [46]~E(x461,x462)+E(f26(x461,x463,x464),f26(x462,x463,x464))
% 0.87/0.97  [47]~E(x471,x472)+E(f26(x473,x471,x474),f26(x473,x472,x474))
% 0.87/0.97  [48]~E(x481,x482)+E(f26(x483,x484,x481),f26(x483,x484,x482))
% 0.87/0.97  [49]~E(x491,x492)+E(f15(x491,x493),f15(x492,x493))
% 0.87/0.97  [50]~E(x501,x502)+E(f15(x503,x501),f15(x503,x502))
% 0.87/0.97  [51]~E(x511,x512)+E(f12(x511,x513),f12(x512,x513))
% 0.87/0.97  [52]~E(x521,x522)+E(f12(x523,x521),f12(x523,x522))
% 0.87/0.97  [53]~E(x531,x532)+E(f11(x531,x533),f11(x532,x533))
% 0.87/0.97  [54]~E(x541,x542)+E(f11(x543,x541),f11(x543,x542))
% 0.87/0.97  [55]~E(x551,x552)+E(f22(x551,x553),f22(x552,x553))
% 0.87/0.97  [56]~E(x561,x562)+E(f22(x563,x561),f22(x563,x562))
% 0.87/0.97  [57]~E(x571,x572)+E(f10(x571,x573),f10(x572,x573))
% 0.87/0.97  [58]~E(x581,x582)+E(f10(x583,x581),f10(x583,x582))
% 0.87/0.97  [59]~E(x591,x592)+E(f13(x591,x593,x594),f13(x592,x593,x594))
% 0.87/0.97  [60]~E(x601,x602)+E(f13(x603,x601,x604),f13(x603,x602,x604))
% 0.87/0.97  [61]~E(x611,x612)+E(f13(x613,x614,x611),f13(x613,x614,x612))
% 0.87/0.97  [62]~E(x621,x622)+E(f6(x621,x623),f6(x622,x623))
% 0.87/0.97  [63]~E(x631,x632)+E(f6(x633,x631),f6(x633,x632))
% 0.87/0.97  [64]~P1(x641)+P1(x642)+~E(x641,x642)
% 0.87/0.97  [65]P4(x652,x653)+~E(x651,x652)+~P4(x651,x653)
% 0.87/0.97  [66]P4(x663,x662)+~E(x661,x662)+~P4(x663,x661)
% 0.87/0.97  [67]~P7(x671)+P7(x672)+~E(x671,x672)
% 0.87/0.97  [68]P9(x682,x683)+~E(x681,x682)+~P9(x681,x683)
% 0.87/0.97  [69]P9(x693,x692)+~E(x691,x692)+~P9(x693,x691)
% 0.87/0.97  [70]~P3(x701)+P3(x702)+~E(x701,x702)
% 0.87/0.97  [71]P2(x712,x713)+~E(x711,x712)+~P2(x711,x713)
% 0.87/0.97  [72]P2(x723,x722)+~E(x721,x722)+~P2(x723,x721)
% 0.87/0.97  [73]P11(x732,x733,x734)+~E(x731,x732)+~P11(x731,x733,x734)
% 0.87/0.97  [74]P11(x743,x742,x744)+~E(x741,x742)+~P11(x743,x741,x744)
% 0.87/0.97  [75]P11(x753,x754,x752)+~E(x751,x752)+~P11(x753,x754,x751)
% 0.87/0.97  [76]P10(x762,x763)+~E(x761,x762)+~P10(x761,x763)
% 0.87/0.97  [77]P10(x773,x772)+~E(x771,x772)+~P10(x773,x771)
% 0.87/0.97  [78]P6(x782,x783)+~E(x781,x782)+~P6(x781,x783)
% 0.87/0.97  [79]P6(x793,x792)+~E(x791,x792)+~P6(x793,x791)
% 0.87/0.97  [80]P5(x802,x803,x804)+~E(x801,x802)+~P5(x801,x803,x804)
% 0.87/0.97  [81]P5(x813,x812,x814)+~E(x811,x812)+~P5(x813,x811,x814)
% 0.87/0.97  [82]P5(x823,x824,x822)+~E(x821,x822)+~P5(x823,x824,x821)
% 0.87/0.97  [83]~P8(x831)+P8(x832)+~E(x831,x832)
% 0.87/0.97  
% 0.87/0.97  %-------------------------------------------
% 0.87/0.97  cnf(195,plain,
% 0.87/0.97     (P3(f18(f17(a33),f17(a35)))),
% 0.87/0.97     inference(scs_inference,[],[90,98,2,70])).
% 0.87/0.97  cnf(198,plain,
% 0.87/0.97     (P7(a34)),
% 0.87/0.97     inference(scs_inference,[],[90,91,103,98,101,2,70,66,3,106])).
% 0.87/0.97  cnf(206,plain,
% 0.87/0.97     (E(f30(a1,a32),a32)),
% 0.87/0.97     inference(scs_inference,[],[84,85,90,91,103,98,101,2,70,66,3,106,116,115,114,113])).
% 0.87/0.97  cnf(208,plain,
% 0.87/0.97     (E(f19(a1,a1),a1)),
% 0.87/0.97     inference(scs_inference,[],[84,85,90,91,103,98,101,2,70,66,3,106,116,115,114,113,111])).
% 0.87/0.97  cnf(212,plain,
% 0.87/0.97     (P3(f17(a1))),
% 0.87/0.97     inference(scs_inference,[],[84,85,86,90,91,103,98,101,2,70,66,3,106,116,115,114,113,111,110,108])).
% 0.87/0.97  cnf(258,plain,
% 0.87/0.97     (E(f29(x2581,f18(f17(a33),f17(a35))),f29(x2581,a34))),
% 0.87/0.97     inference(scs_inference,[],[84,85,86,90,91,103,98,101,2,70,66,3,106,116,115,114,113,111,110,108,107,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21])).
% 0.87/0.97  cnf(273,plain,
% 0.87/0.97     (E(f18(x2731,f18(f17(a33),f17(a35))),f18(x2731,a34))),
% 0.87/0.97     inference(scs_inference,[],[84,85,86,90,91,103,98,101,2,70,66,3,106,116,115,114,113,111,110,108,107,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 0.87/0.97  cnf(284,plain,
% 0.87/0.97     (P7(f18(f17(a33),f17(a35)))),
% 0.87/0.97     inference(scs_inference,[],[84,85,86,90,91,103,98,101,2,70,66,3,106,116,115,114,113,111,110,108,107,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,120,119,118,117,67])).
% 0.87/0.97  cnf(286,plain,
% 0.87/0.97     (P1(a36)),
% 0.87/0.97     inference(scs_inference,[],[84,85,86,90,91,103,98,101,2,70,66,3,106,116,115,114,113,111,110,108,107,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,120,119,118,117,67,64,122])).
% 0.87/0.97  cnf(333,plain,
% 0.87/0.97     (P2(a37,a33)),
% 0.87/0.97     inference(scs_inference,[],[87,99,86,158])).
% 0.87/0.97  cnf(335,plain,
% 0.87/0.97     (P2(a37,a35)),
% 0.87/0.97     inference(scs_inference,[],[87,99,86,158,157])).
% 0.87/0.97  cnf(339,plain,
% 0.87/0.97     (P1(a3)),
% 0.87/0.97     inference(scs_inference,[],[84,87,99,100,86,284,208,158,157,140,122])).
% 0.87/0.97  cnf(346,plain,
% 0.87/0.97     (E(f29(x3461,f18(f17(a33),f17(a35))),f29(x3461,a34))),
% 0.87/0.97     inference(rename_variables,[],[258])).
% 0.87/0.97  cnf(375,plain,
% 0.87/0.97     (~E(a32,a1)),
% 0.87/0.97     inference(scs_inference,[],[84,87,99,102,100,86,90,91,195,284,258,346,273,208,206,198,158,157,140,122,132,149,129,128,153,146,163,151,3,135,134,133,145,142,152,164,2])).
% 0.87/0.97  cnf(432,plain,
% 0.87/0.97     (P6(a37,a37)),
% 0.87/0.97     inference(scs_inference,[],[85,93,87,99,104,86,91,90,286,333,335,339,375,109,125,131,149,153,146,173])).
% 0.87/0.97  cnf(448,plain,
% 0.87/0.97     (P1(a37)),
% 0.87/0.97     inference(scs_inference,[],[85,93,101,87,99,104,86,91,90,286,333,335,339,375,109,125,131,149,153,146,173,145,142,163,152,164,2,83,137,123])).
% 0.87/0.97  cnf(450,plain,
% 0.87/0.97     (P2(a36,a35)),
% 0.87/0.97     inference(scs_inference,[],[85,93,101,87,99,104,86,91,90,286,333,335,339,375,109,125,131,149,153,146,173,145,142,163,152,164,2,83,137,123,138])).
% 0.87/0.97  cnf(475,plain,
% 0.87/0.97     (~P2(a36,a33)),
% 0.87/0.97     inference(scs_inference,[],[450,124])).
% 0.87/0.97  cnf(486,plain,
% 0.87/0.97     (~E(a36,a1)),
% 0.87/0.97     inference(scs_inference,[],[85,103,212,432,448,375,137,106,136,138,167,2])).
% 0.87/0.97  cnf(515,plain,
% 0.87/0.97     ($false),
% 0.87/0.97     inference(scs_inference,[],[86,89,101,92,91,475,486,450,286,139,158,72,157,71,138]),
% 0.87/0.97     ['proof']).
% 0.87/0.97  % SZS output end Proof
% 0.87/0.97  % Total time :0.290000s
%------------------------------------------------------------------------------