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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : NUM458+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n024.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 : Mon Jun 24 12:24:21 EDT 2024

% Result   : Theorem 117.30s 117.39s
% Output   : CNFRefutation 117.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUM458+1 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sat Jun 22 20:05:54 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.19/0.56  start to proof:theBenchmark
% 117.30/117.37  %-------------------------------------------
% 117.30/117.37  % File        :CSE---1.7
% 117.30/117.37  % Problem     :theBenchmark
% 117.30/117.37  % Transform   :cnf
% 117.30/117.37  % Format      :tptp:raw
% 117.30/117.37  % Command     :java -jar mcs_scs.jar %d %s
% 117.30/117.37  
% 117.30/117.37  % Result      :Theorem 116.760000s
% 117.30/117.37  % Output      :CNFRefutation 116.760000s
% 117.30/117.37  %-------------------------------------------
% 117.30/117.38  %------------------------------------------------------------------------------
% 117.30/117.38  % File     : NUM458+1 : TPTP v8.2.0. Released v4.0.0.
% 117.30/117.38  % Domain   : Number Theory
% 117.30/117.38  % Problem  : Square root of a prime is irrational 02, 00 expansion
% 117.30/117.38  % Version  : Especial.
% 117.30/117.38  % English  :
% 117.30/117.38  
% 117.30/117.38  % Refs     : [LPV06] Lyaletski et al. (2006), SAD as a Mathematical Assista
% 117.30/117.38  %          : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 117.30/117.38  %          : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 117.30/117.38  % Source   : [Pas08]
% 117.30/117.38  % Names    : primes_02.00 [Pas08]
% 117.30/117.38  
% 117.30/117.38  % Status   : Theorem
% 117.30/117.38  % Rating   : 0.11 v8.2.0, 0.14 v8.1.0, 0.06 v7.4.0, 0.10 v7.3.0, 0.07 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.26 v5.2.0, 0.15 v5.1.0, 0.33 v5.0.0, 0.29 v4.1.0, 0.39 v4.0.1, 0.70 v4.0.0
% 117.30/117.38  % Syntax   : Number of formulae    :   21 (   3 unt;   2 def)
% 117.30/117.38  %            Number of atoms       :   75 (  29 equ)
% 117.30/117.38  %            Maximal formula atoms :    7 (   3 avg)
% 117.30/117.38  %            Number of connectives :   56 (   2   ~;   3   |;  25   &)
% 117.30/117.38  %                                         (   2 <=>;  24  =>;   0  <=;   0 <~>)
% 117.30/117.38  %            Maximal formula depth :    9 (   5 avg)
% 117.30/117.38  %            Maximal term depth    :    3 (   1 avg)
% 117.30/117.38  %            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
% 117.30/117.38  %            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
% 117.30/117.38  %            Number of variables   :   37 (  36   !;   1   ?)
% 117.30/117.38  % SPC      : FOF_THM_RFO_SEQ
% 117.30/117.38  
% 117.30/117.38  % Comments : Problem generated by the SAD system [VLP07]
% 117.30/117.38  %------------------------------------------------------------------------------
% 117.30/117.38  fof(mNatSort,axiom,
% 117.30/117.38      ! [W0] :
% 117.30/117.38        ( aNaturalNumber0(W0)
% 117.30/117.38       => $true ) ).
% 117.30/117.38  
% 117.30/117.38  fof(mSortsC,axiom,
% 117.30/117.38      aNaturalNumber0(sz00) ).
% 117.30/117.38  
% 117.30/117.38  fof(mSortsC_01,axiom,
% 117.30/117.38      ( aNaturalNumber0(sz10)
% 117.30/117.38      & sz10 != sz00 ) ).
% 117.30/117.38  
% 117.30/117.38  fof(mSortsB,axiom,
% 117.30/117.38      ! [W0,W1] :
% 117.30/117.38        ( ( aNaturalNumber0(W0)
% 117.30/117.38          & aNaturalNumber0(W1) )
% 117.30/117.38       => aNaturalNumber0(sdtpldt0(W0,W1)) ) ).
% 117.30/117.38  
% 117.30/117.38  fof(mSortsB_02,axiom,
% 117.30/117.38      ! [W0,W1] :
% 117.30/117.38        ( ( aNaturalNumber0(W0)
% 117.30/117.38          & aNaturalNumber0(W1) )
% 117.30/117.38       => aNaturalNumber0(sdtasdt0(W0,W1)) ) ).
% 117.30/117.38  
% 117.30/117.38  fof(mAddComm,axiom,
% 117.30/117.38      ! [W0,W1] :
% 117.30/117.38        ( ( aNaturalNumber0(W0)
% 117.30/117.38          & aNaturalNumber0(W1) )
% 117.30/117.38       => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 117.30/117.38  
% 117.30/117.38  fof(mAddAsso,axiom,
% 117.30/117.38      ! [W0,W1,W2] :
% 117.30/117.38        ( ( aNaturalNumber0(W0)
% 117.30/117.39          & aNaturalNumber0(W1)
% 117.30/117.39          & aNaturalNumber0(W2) )
% 117.30/117.39       => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 117.30/117.39  
% 117.30/117.39  fof(m_AddZero,axiom,
% 117.30/117.39      ! [W0] :
% 117.30/117.39        ( aNaturalNumber0(W0)
% 117.30/117.39       => ( sdtpldt0(W0,sz00) = W0
% 117.30/117.39          & W0 = sdtpldt0(sz00,W0) ) ) ).
% 117.30/117.39  
% 117.30/117.39  fof(mMulComm,axiom,
% 117.30/117.39      ! [W0,W1] :
% 117.30/117.39        ( ( aNaturalNumber0(W0)
% 117.30/117.39          & aNaturalNumber0(W1) )
% 117.30/117.39       => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 117.30/117.39  
% 117.30/117.39  fof(mMulAsso,axiom,
% 117.30/117.39      ! [W0,W1,W2] :
% 117.30/117.39        ( ( aNaturalNumber0(W0)
% 117.30/117.39          & aNaturalNumber0(W1)
% 117.30/117.39          & aNaturalNumber0(W2) )
% 117.30/117.39       => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 117.30/117.39  
% 117.30/117.39  fof(m_MulUnit,axiom,
% 117.30/117.39      ! [W0] :
% 117.30/117.39        ( aNaturalNumber0(W0)
% 117.30/117.39       => ( sdtasdt0(W0,sz10) = W0
% 117.30/117.39          & W0 = sdtasdt0(sz10,W0) ) ) ).
% 117.30/117.39  
% 117.30/117.39  fof(m_MulZero,axiom,
% 117.30/117.39      ! [W0] :
% 117.30/117.39        ( aNaturalNumber0(W0)
% 117.30/117.39       => ( sdtasdt0(W0,sz00) = sz00
% 117.30/117.39          & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 117.30/117.39  
% 117.30/117.39  fof(mAMDistr,axiom,
% 117.30/117.39      ! [W0,W1,W2] :
% 117.30/117.39        ( ( aNaturalNumber0(W0)
% 117.30/117.39          & aNaturalNumber0(W1)
% 117.30/117.39          & aNaturalNumber0(W2) )
% 117.30/117.39       => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 117.30/117.39          & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 117.30/117.39  
% 117.30/117.39  fof(mAddCanc,axiom,
% 117.30/117.39      ! [W0,W1,W2] :
% 117.30/117.39        ( ( aNaturalNumber0(W0)
% 117.30/117.39          & aNaturalNumber0(W1)
% 117.30/117.39          & aNaturalNumber0(W2) )
% 117.30/117.39       => ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)
% 117.30/117.39            | sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )
% 117.30/117.39         => W1 = W2 ) ) ).
% 117.30/117.39  
% 117.30/117.39  fof(mMulCanc,axiom,
% 117.30/117.39      ! [W0] :
% 117.30/117.39        ( aNaturalNumber0(W0)
% 117.30/117.39       => ( W0 != sz00
% 117.30/117.39         => ! [W1,W2] :
% 117.30/117.39              ( ( aNaturalNumber0(W1)
% 117.30/117.39                & aNaturalNumber0(W2) )
% 117.30/117.39             => ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
% 117.30/117.39                  | sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
% 117.30/117.39               => W1 = W2 ) ) ) ) ).
% 117.30/117.39  
% 117.30/117.39  fof(mZeroAdd,axiom,
% 117.30/117.39      ! [W0,W1] :
% 117.30/117.39        ( ( aNaturalNumber0(W0)
% 117.30/117.39          & aNaturalNumber0(W1) )
% 117.30/117.39       => ( sdtpldt0(W0,W1) = sz00
% 117.30/117.39         => ( W0 = sz00
% 117.30/117.39            & W1 = sz00 ) ) ) ).
% 117.30/117.39  
% 117.30/117.39  fof(mZeroMul,axiom,
% 117.30/117.39      ! [W0,W1] :
% 117.30/117.39        ( ( aNaturalNumber0(W0)
% 117.30/117.39          & aNaturalNumber0(W1) )
% 117.30/117.39       => ( sdtasdt0(W0,W1) = sz00
% 117.30/117.39         => ( W0 = sz00
% 117.30/117.39            | W1 = sz00 ) ) ) ).
% 117.30/117.39  
% 117.30/117.39  fof(mDefLE,definition,
% 117.30/117.39      ! [W0,W1] :
% 117.30/117.39        ( ( aNaturalNumber0(W0)
% 117.30/117.39          & aNaturalNumber0(W1) )
% 117.30/117.39       => ( sdtlseqdt0(W0,W1)
% 117.30/117.39        <=> ? [W2] :
% 117.30/117.39              ( aNaturalNumber0(W2)
% 117.30/117.39              & sdtpldt0(W0,W2) = W1 ) ) ) ).
% 117.30/117.39  
% 117.30/117.39  fof(mDefDiff,definition,
% 117.30/117.39      ! [W0,W1] :
% 117.30/117.39        ( ( aNaturalNumber0(W0)
% 117.30/117.39          & aNaturalNumber0(W1) )
% 117.30/117.39       => ( sdtlseqdt0(W0,W1)
% 117.30/117.39         => ! [W2] :
% 117.30/117.39              ( W2 = sdtmndt0(W1,W0)
% 117.30/117.39            <=> ( aNaturalNumber0(W2)
% 117.30/117.39                & sdtpldt0(W0,W2) = W1 ) ) ) ) ).
% 117.30/117.39  
% 117.30/117.39  fof(m__718,hypothesis,
% 117.30/117.39      aNaturalNumber0(xm) ).
% 117.30/117.39  
% 117.30/117.39  fof(m__,conjecture,
% 117.30/117.39      sdtlseqdt0(xm,xm) ).
% 117.30/117.39  
% 117.30/117.39  %------------------------------------------------------------------------------
% 117.30/117.39  %-------------------------------------------
% 117.30/117.39  % Proof found
% 117.30/117.39  % SZS status Theorem for theBenchmark
% 117.30/117.39  % SZS output start Proof
% 117.30/117.39  %ClaNum:46(EqnAxiom:14)
% 117.30/117.39  %VarNum:179(SingletonVarNum:60)
% 117.30/117.39  %MaxLitNum:6
% 117.30/117.39  %MaxfuncDepth:2
% 117.30/117.39  %SharedTerms:8
% 117.30/117.39  %goalClause: 19
% 117.30/117.39  %singleGoalClaCount:1
% 117.30/117.39  [15]P1(a1)
% 117.30/117.39  [16]P1(a6)
% 117.30/117.39  [17]P1(a7)
% 117.30/117.39  [18]~E(a1,a6)
% 117.30/117.39  [19]~P2(a7,a7)
% 117.30/117.39  [20]~P1(x201)+E(f2(a1,x201),a1)
% 117.30/117.39  [21]~P1(x211)+E(f2(x211,a1),a1)
% 117.30/117.39  [22]~P1(x221)+E(f4(a1,x221),x221)
% 117.30/117.39  [23]~P1(x231)+E(f2(a6,x231),x231)
% 117.30/117.39  [24]~P1(x241)+E(f4(x241,a1),x241)
% 117.30/117.39  [25]~P1(x251)+E(f2(x251,a6),x251)
% 117.30/117.39  [29]~P1(x292)+~P1(x291)+E(f4(x291,x292),f4(x292,x291))
% 117.30/117.39  [30]~P1(x302)+~P1(x301)+E(f2(x301,x302),f2(x302,x301))
% 117.30/117.39  [31]~P1(x312)+~P1(x311)+P1(f4(x311,x312))
% 117.30/117.39  [32]~P1(x322)+~P1(x321)+P1(f2(x321,x322))
% 117.30/117.39  [26]~P1(x262)+~P1(x261)+E(x261,a1)+~E(f4(x262,x261),a1)
% 117.30/117.39  [27]~P1(x272)+~P1(x271)+E(x271,a1)+~E(f4(x271,x272),a1)
% 117.30/117.39  [35]~P1(x352)+~P1(x351)+~P2(x351,x352)+P1(f3(x351,x352))
% 117.30/117.39  [41]~P1(x412)+~P1(x411)+~P2(x411,x412)+E(f4(x411,f3(x411,x412)),x412)
% 117.30/117.39  [43]~P1(x433)+~P1(x432)+~P1(x431)+E(f4(f4(x431,x432),x433),f4(x431,f4(x432,x433)))
% 117.30/117.39  [44]~P1(x443)+~P1(x442)+~P1(x441)+E(f2(f2(x441,x442),x443),f2(x441,f2(x442,x443)))
% 117.30/117.39  [45]~P1(x453)+~P1(x452)+~P1(x451)+E(f4(f2(x451,x452),f2(x451,x453)),f2(x451,f4(x452,x453)))
% 117.30/117.39  [46]~P1(x462)+~P1(x463)+~P1(x461)+E(f4(f2(x461,x462),f2(x463,x462)),f2(f4(x461,x463),x462))
% 117.30/117.39  [28]~P1(x281)+~P1(x282)+E(x281,a1)+E(x282,a1)+~E(f2(x282,x281),a1)
% 117.30/117.39  [33]~P1(x332)+~P1(x331)+~P1(x333)+P2(x331,x332)+~E(f4(x331,x333),x332)
% 117.30/117.39  [34]~P1(x343)+~P1(x342)+~P2(x343,x342)+P1(x341)+~E(x341,f5(x342,x343))
% 117.30/117.39  [36]~P1(x362)+~P1(x361)+~P1(x363)+E(x361,x362)+~E(f4(x363,x361),f4(x363,x362))
% 117.30/117.39  [37]~P1(x372)+~P1(x373)+~P1(x371)+E(x371,x372)+~E(f4(x371,x373),f4(x372,x373))
% 117.30/117.39  [40]~P1(x403)+~P1(x401)+~P2(x401,x403)+~E(x402,f5(x403,x401))+E(f4(x401,x402),x403)
% 117.30/117.39  [38]~P1(x382)+~P1(x381)+~P1(x383)+E(x381,x382)+~E(f2(x383,x381),f2(x383,x382))+E(x383,a1)
% 117.30/117.39  [39]~P1(x392)+~P1(x393)+~P1(x391)+E(x391,x392)+~E(f2(x391,x393),f2(x392,x393))+E(x393,a1)
% 117.30/117.39  [42]~P1(x422)+~P1(x423)+~P1(x421)+~P2(x423,x422)+~E(f4(x423,x421),x422)+E(x421,f5(x422,x423))
% 117.30/117.39  %EqnAxiom
% 117.30/117.39  [1]E(x11,x11)
% 117.30/117.39  [2]E(x22,x21)+~E(x21,x22)
% 117.30/117.39  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 117.30/117.39  [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 117.30/117.39  [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 117.30/117.39  [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 117.30/117.39  [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 117.30/117.39  [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83))
% 117.30/117.39  [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92))
% 117.30/117.39  [10]~E(x101,x102)+E(f5(x101,x103),f5(x102,x103))
% 117.30/117.39  [11]~E(x111,x112)+E(f5(x113,x111),f5(x113,x112))
% 117.30/117.39  [12]~P1(x121)+P1(x122)+~E(x121,x122)
% 117.30/117.39  [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133)
% 117.30/117.39  [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141)
% 117.30/117.39  
% 117.30/117.39  %-------------------------------------------
% 117.40/117.40  cnf(47,plain,
% 117.40/117.40     (P2(x471,f4(x471,x472))+~P1(f4(x471,x472))+~P1(x471)+~P1(x472)),
% 117.40/117.40     inference(equality_inference,[],[33])).
% 117.40/117.40  cnf(48,plain,
% 117.40/117.40     (~P2(x481,x482)+~P1(x481)+~P1(x482)+P1(f5(x482,x481))),
% 117.40/117.40     inference(equality_inference,[],[34])).
% 117.40/117.40  cnf(53,plain,
% 117.40/117.40     (~P2(x531,x532)+~P1(x532)+~P1(x531)+E(f4(x531,f5(x532,x531)),x532)),
% 117.40/117.40     inference(equality_inference,[],[40])).
% 117.40/117.40  cnf(54,plain,
% 117.40/117.40     (~P2(x541,f4(x541,x542))+~P1(f4(x541,x542))+~P1(x541)+~P1(x542)+E(x542,f5(f4(x541,x542),x541))),
% 117.40/117.40     inference(equality_inference,[],[42])).
% 117.40/117.40  cnf(55,plain,
% 117.40/117.40     (P2(a1,f4(a1,a1))+~P1(f4(a1,a1))),
% 117.40/117.40     inference(scs_inference,[],[15,47])).
% 117.40/117.41  cnf(58,plain,
% 117.40/117.41     (P2(a6,f4(a6,a6))+~P1(f4(a6,a6))),
% 117.40/117.41     inference(scs_inference,[],[16,47])).
% 117.40/117.41  cnf(60,plain,
% 117.40/117.41     (E(a6,f5(f4(a6,a6),a6))+~P1(f4(a6,a6))+~P2(a1,a1)),
% 117.40/117.41     inference(scs_inference,[],[15,16,47,53,48,33,54])).
% 117.40/117.41  cnf(61,plain,
% 117.40/117.41     (P2(a7,f4(a7,a7))+~P1(f4(a7,a7))),
% 117.40/117.41     inference(scs_inference,[],[17,47])).
% 117.40/117.41  cnf(63,plain,
% 117.40/117.41     (~P1(f4(a7,a7))+~E(f4(a7,a7),a7)),
% 117.40/117.41     inference(scs_inference,[],[19,17,47,13,14])).
% 117.40/117.41  cnf(66,plain,
% 117.40/117.41     (E(f4(a1,f5(a1,a1)),a1)+~P2(a1,a1)),
% 117.40/117.41     inference(scs_inference,[],[15,53])).
% 117.40/117.41  cnf(68,plain,
% 117.40/117.41     (E(a1,f4(a1,f5(a1,a1)))+~P2(a1,a1)),
% 117.40/117.41     inference(scs_inference,[],[15,53,2])).
% 117.40/117.41  cnf(71,plain,
% 117.40/117.41     (E(f4(a6,f5(a6,a6)),a6)+~P2(a6,a6)),
% 117.40/117.41     inference(scs_inference,[],[16,53])).
% 117.40/117.41  cnf(77,plain,
% 117.40/117.41     (P1(f5(a1,a1))+~P2(a1,a1)),
% 117.40/117.41     inference(scs_inference,[],[15,48])).
% 117.40/117.41  cnf(80,plain,
% 117.40/117.41     (P1(f5(a6,a6))+~P2(a6,a6)),
% 117.40/117.41     inference(scs_inference,[],[16,48])).
% 117.40/117.41  cnf(92,plain,
% 117.40/117.41     (E(f2(a1,f4(a1,a1)),a1)),
% 117.40/117.41     inference(scs_inference,[],[15,20,31])).
% 117.40/117.41  cnf(93,plain,
% 117.40/117.41     (E(a1,f2(a1,f4(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[92,2])).
% 117.40/117.41  cnf(94,plain,
% 117.40/117.41     (P1(f2(a1,f4(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,92,2,12])).
% 117.40/117.41  cnf(111,plain,
% 117.40/117.41     (E(f2(f2(a1,f4(a1,a1)),a1),a1)),
% 117.40/117.41     inference(scs_inference,[],[93,15,21,12])).
% 117.40/117.41  cnf(112,plain,
% 117.40/117.41     (E(a1,f2(f2(a1,f4(a1,a1)),a1))),
% 117.40/117.41     inference(scs_inference,[],[111,2])).
% 117.40/117.41  cnf(130,plain,
% 117.40/117.41     (E(f4(a1,f2(a1,a1)),f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,22,32])).
% 117.40/117.41  cnf(131,plain,
% 117.40/117.41     (E(f2(a1,a1),f4(a1,f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[130,2])).
% 117.40/117.41  cnf(132,plain,
% 117.40/117.41     (~P1(f4(a1,f2(a1,a1)))+P1(f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[130,2,12])).
% 117.40/117.41  cnf(133,plain,
% 117.40/117.41     (P2(a1,f2(a1,a1))+~P1(f4(a1,f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,130,2,12,33])).
% 117.40/117.41  cnf(135,plain,
% 117.40/117.41     (~P1(f4(a1,f2(a1,a1)))+E(f2(a1,a1),f5(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[15,130,2,12,33,42])).
% 117.40/117.41  cnf(137,plain,
% 117.40/117.41     (E(f4(a1,f2(a1,a1)),f5(f2(a1,a1),a1))+~P1(f4(a1,f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,130,2,12,33,42,3])).
% 117.40/117.41  cnf(138,plain,
% 117.40/117.41     (P2(f2(f2(a1,f4(a1,a1)),a1),f2(a1,a1))+~P1(f4(a1,f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,130,112,2,12,33,42,3,13])).
% 117.40/117.41  cnf(139,plain,
% 117.40/117.41     (P2(a1,f4(a1,f2(a1,a1)))+~P1(f4(a1,f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,130,112,2,12,33,42,3,13,14])).
% 117.40/117.41  cnf(144,plain,
% 117.40/117.41     (~P1(f2(a1,a1))+P1(f4(a1,f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[131,12])).
% 117.40/117.41  cnf(146,plain,
% 117.40/117.41     (~P1(f2(a1,a1))+P1(f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[131,12,138,132])).
% 117.40/117.41  cnf(147,plain,
% 117.40/117.41     (~P1(f2(a1,a1))+E(f2(a1,a1),f5(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[131,12,138,132,135])).
% 117.40/117.41  cnf(149,plain,
% 117.40/117.41     (E(f5(f2(a1,a1),a1),f2(a1,a1))+~P1(f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[131,12,138,132,135,137,2])).
% 117.40/117.41  cnf(152,plain,
% 117.40/117.41     (P2(a1,f2(a1,a1))+~P1(f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,130,33])).
% 117.40/117.41  cnf(154,plain,
% 117.40/117.41     (P2(f2(a1,f4(a1,a1)),f2(a1,a1))+~P1(f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,130,93,33,13])).
% 117.40/117.41  cnf(169,plain,
% 117.40/117.41     (E(f2(a6,f4(a1,a1)),f4(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,23,31])).
% 117.40/117.41  cnf(170,plain,
% 117.40/117.41     (E(f4(a1,a1),f2(a6,f4(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[169,2])).
% 117.40/117.41  cnf(171,plain,
% 117.40/117.41     (~P1(f2(a6,f4(a1,a1)))+P1(f4(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[169,2,12])).
% 117.40/117.41  cnf(172,plain,
% 117.40/117.41     (P2(a1,f4(a1,a1))+~P1(f2(a6,f4(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,169,2,12,47])).
% 117.40/117.41  cnf(174,plain,
% 117.40/117.41     (E(a1,f5(f4(a1,a1),a1))+~P1(f2(a6,f4(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,169,2,12,47,54])).
% 117.40/117.41  cnf(177,plain,
% 117.40/117.41     (P2(f2(a1,f4(a1,a1)),f4(a1,a1))+~P1(f2(a6,f4(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,92,93,169,2,12,47,54,3,13])).
% 117.40/117.41  cnf(181,plain,
% 117.40/117.41     (~P1(f4(a1,a1))+P1(f2(a6,f4(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[170,12])).
% 117.40/117.41  cnf(182,plain,
% 117.40/117.41     (P2(a1,f2(a6,f4(a1,a1)))+~P1(f4(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,170,12,33])).
% 117.40/117.41  cnf(186,plain,
% 117.40/117.41     (~P1(f4(a1,a1))+P2(f2(a1,f4(a1,a1)),f4(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,170,12,33,42,177])).
% 117.40/117.41  cnf(187,plain,
% 117.40/117.41     (P1(f4(a1,a1))+~P1(f4(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,170,12,33,42,177,171])).
% 117.40/117.41  cnf(206,plain,
% 117.40/117.41     (E(f4(f2(a1,a1),a1),f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,24,32])).
% 117.40/117.41  cnf(207,plain,
% 117.40/117.41     (E(f2(a1,a1),f4(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[206,2])).
% 117.40/117.41  cnf(208,plain,
% 117.40/117.41     (E(f4(a1,f2(a1,a1)),f4(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[130,206,2,3])).
% 117.40/117.41  cnf(209,plain,
% 117.40/117.41     (~P1(f4(f2(a1,a1),a1))+P1(f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[130,206,2,3,12])).
% 117.40/117.41  cnf(210,plain,
% 117.40/117.41     (P2(a1,f2(a1,a1))+~P1(f4(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[15,130,206,2,3,12,33])).
% 117.40/117.41  cnf(212,plain,
% 117.40/117.41     (~P1(f4(f2(a1,a1),a1))+E(f2(a1,a1),f5(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[15,130,206,2,3,12,33,42])).
% 117.40/117.41  cnf(214,plain,
% 117.40/117.41     (~P1(f4(f2(a1,a1),a1))+E(f5(f2(a1,a1),a1),f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,130,206,2,3,12,33,42,149])).
% 117.40/117.41  cnf(215,plain,
% 117.40/117.41     (P2(f2(a1,f4(a1,a1)),f2(a1,a1))+~P1(f4(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[15,130,206,93,2,3,12,33,42,149,13])).
% 117.40/117.41  cnf(216,plain,
% 117.40/117.41     (P2(a1,f4(a1,f2(a1,a1)))+~P1(f4(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[15,130,206,131,93,2,3,12,33,42,149,13,14])).
% 117.40/117.41  cnf(219,plain,
% 117.40/117.41     (E(f4(f2(a1,a1),a1),f4(a1,f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[208,2])).
% 117.40/117.41  cnf(220,plain,
% 117.40/117.41     (~P1(f2(a1,a1))+P1(f4(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[207,208,2,12])).
% 117.40/117.41  cnf(222,plain,
% 117.40/117.41     (P2(f2(a1,a1),f2(a1,a1))+~P1(f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,206,207,208,2,12,47,48,53,33])).
% 117.40/117.41  cnf(225,plain,
% 117.40/117.41     (~P1(f4(a1,f2(a1,a1)))+P1(f4(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[208,12])).
% 117.40/117.41  cnf(226,plain,
% 117.40/117.41     (~P1(f4(a1,f2(a1,a1)))+P2(f2(a1,f4(a1,a1)),f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[208,12,215])).
% 117.40/117.41  cnf(228,plain,
% 117.40/117.41     (P2(f2(a1,f4(a1,a1)),f4(a1,f2(a1,a1)))+~P1(f4(a1,f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[131,208,12,215,214,3,14])).
% 117.40/117.41  cnf(233,plain,
% 117.40/117.41     (~P1(f4(f2(a1,a1),a1))+P1(f4(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[219,12,228,225])).
% 117.40/117.41  cnf(250,plain,
% 117.40/117.41     (E(f2(f4(a1,a1),a6),f4(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,25,31])).
% 117.40/117.41  cnf(251,plain,
% 117.40/117.41     (E(f4(a1,a1),f2(f4(a1,a1),a6))),
% 117.40/117.41     inference(scs_inference,[],[250,2])).
% 117.40/117.41  cnf(252,plain,
% 117.40/117.41     (E(f2(a6,f4(a1,a1)),f2(f4(a1,a1),a6))),
% 117.40/117.41     inference(scs_inference,[],[169,250,2,3])).
% 117.40/117.41  cnf(253,plain,
% 117.40/117.41     (~P1(f2(f4(a1,a1),a6))+P1(f4(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[169,250,2,3,12])).
% 117.40/117.41  cnf(254,plain,
% 117.40/117.41     (P2(a1,f4(a1,a1))+~P1(f2(f4(a1,a1),a6))),
% 117.40/117.41     inference(scs_inference,[],[15,169,250,2,3,12,47])).
% 117.40/117.41  cnf(256,plain,
% 117.40/117.41     (E(a1,f5(f4(a1,a1),a1))+~P1(f2(f4(a1,a1),a6))),
% 117.40/117.41     inference(scs_inference,[],[15,169,250,2,3,12,47,54])).
% 117.40/117.41  cnf(260,plain,
% 117.40/117.41     (~P1(f2(f4(a1,a1),a6))+P1(f2(a6,f4(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,169,250,2,3,12,47,54,182,186,181])).
% 117.40/117.41  cnf(266,plain,
% 117.40/117.41     (E(f2(f4(a1,a1),a6),f2(a6,f4(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[252,2])).
% 117.40/117.41  cnf(267,plain,
% 117.40/117.41     (~P1(f4(a1,a1))+P1(f2(f4(a1,a1),a6))),
% 117.40/117.41     inference(scs_inference,[],[251,252,2,12])).
% 117.40/117.41  cnf(286,plain,
% 117.40/117.41     (P2(a1,f2(f4(a1,a1),a6))+~P1(f2(f4(a1,a1),a6))),
% 117.40/117.41     inference(scs_inference,[],[15,251,33])).
% 117.40/117.41  cnf(316,plain,
% 117.40/117.41     (P1(f5(a6,a6))+~E(f4(a6,a1),a6)),
% 117.40/117.41     inference(scs_inference,[],[16,15,80,33])).
% 117.40/117.41  cnf(362,plain,
% 117.40/117.41     (~P1(f4(a1,a1))+P1(f3(a1,f4(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,55,35])).
% 117.40/117.41  cnf(378,plain,
% 117.40/117.41     (P2(x3781,f4(a6,a6))+~E(a6,x3781)+~P1(f4(a6,a6))),
% 117.40/117.41     inference(scs_inference,[],[58,13])).
% 117.40/117.41  cnf(395,plain,
% 117.40/117.41     (P2(x3951,f4(a7,a7))+~E(a7,x3951)+~P1(f4(a7,a7))),
% 117.40/117.41     inference(scs_inference,[],[61,13])).
% 117.40/117.41  cnf(412,plain,
% 117.40/117.41     (~E(f4(a7,a7),a7)),
% 117.40/117.41     inference(scs_inference,[],[17,63,31])).
% 117.40/117.41  cnf(444,plain,
% 117.40/117.41     (~E(f4(a6,a1),a6)+P1(f2(f5(a6,a6),f5(a6,a6)))),
% 117.40/117.41     inference(scs_inference,[],[316,32])).
% 117.40/117.41  cnf(524,plain,
% 117.40/117.41     (E(f5(x5241,f2(a1,a6)),f5(x5241,a1))),
% 117.40/117.41     inference(scs_inference,[],[16,11,20])).
% 117.40/117.41  cnf(525,plain,
% 117.40/117.41     (E(f5(x5251,a1),f5(x5251,f2(a1,a6)))),
% 117.40/117.41     inference(scs_inference,[],[524,2])).
% 117.40/117.41  cnf(526,plain,
% 117.40/117.41     (~P1(f5(x5261,f2(a1,a6)))+P1(f5(x5261,a1))),
% 117.40/117.41     inference(scs_inference,[],[524,2,12])).
% 117.40/117.41  cnf(529,plain,
% 117.40/117.41     (~P1(f5(x5291,a1))+P1(f5(x5291,f2(a1,a6)))),
% 117.40/117.41     inference(scs_inference,[],[525,12])).
% 117.40/117.41  cnf(535,plain,
% 117.40/117.41     (P2(a1,f4(f2(a1,a1),a1))+~P1(f4(f2(a1,a1),a1))+~P1(f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[16,15,208,524,33])).
% 117.40/117.41  cnf(537,plain,
% 117.40/117.41     (E(a6,f5(f4(a6,a6),a6))+~P2(a6,f4(a6,a6))+~P1(f4(a6,a6))),
% 117.40/117.41     inference(scs_inference,[],[16,15,208,525,54])).
% 117.40/117.41  cnf(574,plain,
% 117.40/117.41     (E(a7,f5(f4(a7,a7),a7))+~P2(a7,f4(a7,a7))+~P1(f4(a7,a7))),
% 117.40/117.41     inference(scs_inference,[],[17,15,524,208,54])).
% 117.40/117.41  cnf(624,plain,
% 117.40/117.41     (~P2(a1,a1)+E(f2(f4(a1,f5(a1,a1)),x6241),f2(a1,x6241))),
% 117.40/117.41     inference(scs_inference,[],[66,4])).
% 117.40/117.41  cnf(686,plain,
% 117.40/117.41     (~P2(a6,a6)+E(f2(x6861,f4(a6,f5(a6,a6))),f2(x6861,a6))),
% 117.40/117.41     inference(scs_inference,[],[71,5])).
% 117.40/117.41  cnf(779,plain,
% 117.40/117.41     (P1(f4(a1,f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,144,32])).
% 117.40/117.41  cnf(780,plain,
% 117.40/117.41     (P1(f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[779,132])).
% 117.40/117.41  cnf(781,plain,
% 117.40/117.41     (P2(a1,f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[779,133])).
% 117.40/117.41  cnf(782,plain,
% 117.40/117.41     (E(f2(a1,a1),f5(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[779,135])).
% 117.40/117.41  cnf(783,plain,
% 117.40/117.41     (E(f4(a1,f2(a1,a1)),f5(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[779,137])).
% 117.40/117.41  cnf(785,plain,
% 117.40/117.41     (P2(a1,f4(a1,f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[779,139])).
% 117.40/117.41  cnf(786,plain,
% 117.40/117.41     (P1(f4(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[779,225])).
% 117.40/117.41  cnf(787,plain,
% 117.40/117.41     (P2(f2(a1,f4(a1,a1)),f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[779,226])).
% 117.40/117.41  cnf(790,plain,
% 117.40/117.41     (P2(f2(a1,a1),f4(a1,f2(a1,a1)))+~P1(f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,779,219,33])).
% 117.40/117.41  cnf(792,plain,
% 117.40/117.41     (P2(f4(a1,f2(a1,a1)),f4(a1,f2(a1,a1)))+~P1(f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,779,131,219,33,13])).
% 117.40/117.41  cnf(796,plain,
% 117.40/117.41     (P1(f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[780,146])).
% 117.40/117.41  cnf(797,plain,
% 117.40/117.41     (E(f2(a1,a1),f5(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[780,147])).
% 117.40/117.41  cnf(800,plain,
% 117.40/117.41     (P2(a1,f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[780,152])).
% 117.40/117.41  cnf(801,plain,
% 117.40/117.41     (P2(f2(a1,f4(a1,a1)),f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[780,154])).
% 117.40/117.41  cnf(802,plain,
% 117.40/117.41     (P1(f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[786,209])).
% 117.40/117.41  cnf(803,plain,
% 117.40/117.41     (P2(a1,f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[786,210])).
% 117.40/117.41  cnf(804,plain,
% 117.40/117.41     (E(f2(a1,a1),f5(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[786,212])).
% 117.40/117.41  cnf(807,plain,
% 117.40/117.41     (P2(a1,f4(a1,f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[786,216])).
% 117.40/117.41  cnf(808,plain,
% 117.40/117.41     (P1(f4(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[780,220])).
% 117.40/117.41  cnf(809,plain,
% 117.40/117.41     (P2(f2(a1,a1),f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[780,222])).
% 117.40/117.41  cnf(812,plain,
% 117.40/117.41     (P1(f4(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[786,233])).
% 117.40/117.41  cnf(817,plain,
% 117.40/117.41     (P2(a1,f4(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[786,780,535])).
% 117.40/117.41  cnf(819,plain,
% 117.40/117.41     (P2(f2(a1,a1),f4(a1,f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[780,790])).
% 117.40/117.41  cnf(820,plain,
% 117.40/117.41     (E(f2(a1,a1),f5(f2(a1,a1),f2(a1,a6)))),
% 117.40/117.41     inference(scs_inference,[],[782,780,525,790,3])).
% 117.40/117.41  cnf(823,plain,
% 117.40/117.41     (P1(f5(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[782,780,525,790,3,13,12])).
% 117.40/117.41  cnf(824,plain,
% 117.40/117.41     (P2(a1,f5(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[781,782,780,525,790,3,13,12,14])).
% 117.40/117.41  cnf(825,plain,
% 117.40/117.41     (P1(f5(f2(a1,a1),f2(a1,a6)))),
% 117.40/117.41     inference(scs_inference,[],[15,781,782,780,524,525,790,3,13,12,14,34])).
% 117.40/117.41  cnf(828,plain,
% 117.40/117.41     (E(a1,f5(f4(a1,f2(a1,a1)),f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,781,782,780,779,524,525,219,790,3,13,12,14,34,42])).
% 117.40/117.41  cnf(835,plain,
% 117.40/117.41     (P2(f2(a1,a1),f4(f2(a1,a1),f2(a1,a1)))+~P1(f4(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,781,782,780,779,524,525,219,790,3,13,12,14,34,42,2,53,48,47])).
% 117.40/117.41  cnf(838,plain,
% 117.40/117.41     (P2(f4(a1,f2(a1,a1)),f4(a1,f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[796,792])).
% 117.40/117.41  cnf(840,plain,
% 117.40/117.41     (E(f2(a1,f4(a1,a1)),f5(f4(a1,f2(a1,a1)),f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[828,92,2,3])).
% 117.40/117.41  cnf(842,plain,
% 117.40/117.41     (P1(f5(f4(a1,f2(a1,a1)),f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,800,828,92,2,3,13,12])).
% 117.40/117.41  cnf(843,plain,
% 117.40/117.41     (P2(f2(a1,a1),f5(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[15,800,809,797,828,92,2,3,13,12,14])).
% 117.40/117.41  cnf(844,plain,
% 117.40/117.41     (E(f4(f2(a1,a1),f5(f2(a1,a1),f2(a1,a1))),f2(a1,a1))),
% 117.40/117.41     inference(scs_inference,[],[15,800,809,797,796,828,92,2,3,13,12,14,53])).
% 117.40/117.41  cnf(846,plain,
% 117.40/117.41     (P1(f5(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,800,809,797,796,828,92,2,3,13,12,14,53,48])).
% 117.40/117.41  cnf(848,plain,
% 117.40/117.41     (E(a1,f5(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.41     inference(scs_inference,[],[15,800,809,206,797,796,828,92,2,3,13,12,14,53,48,42])).
% 117.40/117.41  cnf(853,plain,
% 117.40/117.41     (P2(f5(f4(a1,f2(a1,a1)),f2(a1,a1)),f4(f2(a1,a1),a1))),
% 117.40/117.41     inference(scs_inference,[],[817,828,844,2,13])).
% 117.40/117.41  cnf(854,plain,
% 117.40/117.41     (E(f4(a1,f2(a1,a1)),f5(f2(a1,a1),f2(a1,a6)))),
% 117.40/117.41     inference(scs_inference,[],[817,130,828,844,820,2,13,3])).
% 117.40/117.41  cnf(855,plain,
% 117.40/117.41     (P2(a1,f5(f2(a1,a1),f2(a1,a6)))),
% 117.40/117.41     inference(scs_inference,[],[817,824,130,828,844,525,820,2,13,3,14])).
% 117.40/117.41  cnf(857,plain,
% 117.40/117.41     (P1(f4(f2(a1,a1),f5(f2(a1,a1),f2(a1,a1))))),
% 117.40/117.41     inference(scs_inference,[],[817,824,130,802,828,844,525,820,2,13,3,14,12])).
% 117.40/117.42  cnf(858,plain,
% 117.40/117.42     (E(f2(a1,a1),f5(f4(f2(a1,a1),a1),a1))),
% 117.40/117.42     inference(scs_inference,[],[15,817,824,130,802,828,844,786,525,208,820,2,13,3,14,12,42])).
% 117.40/117.42  cnf(862,plain,
% 117.40/117.42     (E(f5(f2(a1,a1),f2(a1,a1)),a1)),
% 117.40/117.42     inference(scs_inference,[],[848,2])).
% 117.40/117.42  cnf(865,plain,
% 117.40/117.42     (P2(f2(a1,a1),f5(f2(a1,a1),f2(a1,a6)))),
% 117.40/117.42     inference(scs_inference,[],[843,802,804,848,858,525,2,13,12,14])).
% 117.40/117.42  cnf(867,plain,
% 117.40/117.42     (E(f2(a1,a1),f5(f5(f2(a1,a1),a1),a1))),
% 117.40/117.42     inference(scs_inference,[],[15,843,824,802,804,848,823,858,525,783,2,13,12,14,42])).
% 117.40/117.42  cnf(901,plain,
% 117.40/117.42     (P2(f2(a1,f4(a1,a1)),f5(f2(a1,a1),a1))),
% 117.40/117.42     inference(scs_inference,[],[787,855,804,828,854,2,13,14])).
% 117.40/117.42  cnf(905,plain,
% 117.40/117.42     (E(f5(f4(a1,f2(a1,a1)),f2(a1,a1)),f2(a1,f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[840,2])).
% 117.40/117.42  cnf(908,plain,
% 117.40/117.42     (P2(f5(f2(a1,a1),a1),f2(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[901,809,797,525,840,2,14,13])).
% 117.40/117.42  cnf(912,plain,
% 117.40/117.42     (P2(f5(f2(a1,a1),f2(a1,a6)),f2(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[908,525,13])).
% 117.40/117.42  cnf(914,plain,
% 117.40/117.42     (P2(f4(a1,f2(a1,a1)),f2(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[908,838,130,525,13,14])).
% 117.40/117.42  cnf(918,plain,
% 117.40/117.42     (P2(f4(a1,f2(a1,a1)),f5(f2(a1,a1),a1))),
% 117.40/117.42     inference(scs_inference,[],[914,804,14])).
% 117.40/117.42  cnf(922,plain,
% 117.40/117.42     (~P1(f2(f4(a1,a1),a6))+P1(f4(f4(a1,a1),f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[253,31])).
% 117.40/117.42  cnf(926,plain,
% 117.40/117.42     (E(a1,f5(f5(f2(a1,a1),a1),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[15,918,843,206,796,797,823,525,3,14,42])).
% 117.40/117.42  cnf(935,plain,
% 117.40/117.42     (E(a1,f5(f5(f2(a1,a1),f2(a1,a6)),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[15,865,206,802,926,825,820,2,3,42])).
% 117.40/117.42  cnf(937,plain,
% 117.40/117.42     (P1(f5(f5(f2(a1,a1),f2(a1,a6)),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[15,865,206,802,926,825,820,2,3,42,12])).
% 117.40/117.42  cnf(971,plain,
% 117.40/117.42     (P1(f2(f4(a1,a1),a6))),
% 117.40/117.42     inference(scs_inference,[],[15,267,31])).
% 117.40/117.42  cnf(972,plain,
% 117.40/117.42     (P1(f4(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[971,253])).
% 117.40/117.42  cnf(973,plain,
% 117.40/117.42     (P2(a1,f4(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[971,254])).
% 117.40/117.42  cnf(974,plain,
% 117.40/117.42     (E(a1,f5(f4(a1,a1),a1))),
% 117.40/117.42     inference(scs_inference,[],[971,256])).
% 117.40/117.42  cnf(977,plain,
% 117.40/117.42     (P1(f2(a6,f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[971,260])).
% 117.40/117.42  cnf(981,plain,
% 117.40/117.42     (P2(a1,f2(f4(a1,a1),a6))),
% 117.40/117.42     inference(scs_inference,[],[971,286])).
% 117.40/117.42  cnf(982,plain,
% 117.40/117.42     (P1(f4(f4(a1,a1),f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[971,922])).
% 117.40/117.42  cnf(983,plain,
% 117.40/117.42     (~P2(a1,f2(f4(a1,a1),a6))+E(a1,f5(f2(f4(a1,a1),a6),a1))),
% 117.40/117.42     inference(scs_inference,[],[15,971,251,42])).
% 117.40/117.42  cnf(986,plain,
% 117.40/117.42     (~P2(a1,f2(f4(a1,a1),a6))+E(f5(f2(f4(a1,a1),a6),f2(a1,a6)),a1)),
% 117.40/117.42     inference(scs_inference,[],[15,971,170,251,524,42,2,12,3])).
% 117.40/117.42  cnf(990,plain,
% 117.40/117.42     (P2(a1,f4(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[972,55])).
% 117.40/117.42  cnf(991,plain,
% 117.40/117.42     (P1(f4(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[977,171])).
% 117.40/117.42  cnf(992,plain,
% 117.40/117.42     (P2(a1,f4(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[977,172])).
% 117.40/117.42  cnf(993,plain,
% 117.40/117.42     (E(a1,f5(f4(a1,a1),a1))),
% 117.40/117.42     inference(scs_inference,[],[977,174])).
% 117.40/117.42  cnf(995,plain,
% 117.40/117.42     (P2(f2(a1,f4(a1,a1)),f4(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[977,177])).
% 117.40/117.42  cnf(1000,plain,
% 117.40/117.42     (P2(f2(a1,f4(a1,a1)),f4(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[972,186])).
% 117.40/117.42  cnf(1001,plain,
% 117.40/117.42     (P1(f4(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[972,187])).
% 117.40/117.42  cnf(1014,plain,
% 117.40/117.42     (P1(f3(a1,f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[972,362])).
% 117.40/117.42  cnf(1016,plain,
% 117.40/117.42     (E(f5(f4(a1,a1),a1),a1)),
% 117.40/117.42     inference(scs_inference,[],[974,2])).
% 117.40/117.42  cnf(1018,plain,
% 117.40/117.42     (P1(f5(f4(a1,a1),a1))),
% 117.40/117.42     inference(scs_inference,[],[15,853,974,905,2,13,12])).
% 117.40/117.42  cnf(1019,plain,
% 117.40/117.42     (P2(f4(a1,a1),f4(f4(a1,a1),f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[15,853,972,982,974,905,2,13,12,47])).
% 117.40/117.42  cnf(1021,plain,
% 117.40/117.42     (E(f4(a1,a1),f5(f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[15,853,972,982,974,905,2,13,12,47,54])).
% 117.40/117.42  cnf(1023,plain,
% 117.40/117.42     (P1(f5(f4(a1,a1),f2(a1,a6)))),
% 117.40/117.42     inference(scs_inference,[],[15,853,972,982,974,905,2,13,12,47,54,529])).
% 117.40/117.42  cnf(1024,plain,
% 117.40/117.42     (P2(f4(a1,a1),x10241)+~E(f4(f4(a1,a1),f4(a1,a1)),x10241)),
% 117.40/117.42     inference(scs_inference,[],[15,853,972,982,974,905,2,13,12,47,54,529,14])).
% 117.40/117.42  cnf(1025,plain,
% 117.40/117.42     (E(f2(a6,f4(a1,a1)),f5(f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[15,853,972,982,974,169,905,2,13,12,47,54,529,14,3])).
% 117.40/117.42  cnf(1033,plain,
% 117.40/117.42     (E(a1,f5(f2(f4(a1,a1),a6),a1))),
% 117.40/117.42     inference(scs_inference,[],[981,983])).
% 117.40/117.42  cnf(1035,plain,
% 117.40/117.42     (E(f5(f2(f4(a1,a1),a6),f2(a1,a6)),a1)),
% 117.40/117.42     inference(scs_inference,[],[981,986])).
% 117.40/117.42  cnf(1037,plain,
% 117.40/117.42     (P2(f5(f4(a1,f2(a1,a1)),f2(a1,a1)),f4(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[973,828,1021,2,13])).
% 117.40/117.42  cnf(1039,plain,
% 117.40/117.42     (P2(a1,f5(f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[973,828,991,1021,2,13,12,14])).
% 117.40/117.42  cnf(1057,plain,
% 117.40/117.42     (E(f5(f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1)),f2(a6,f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[1025,2])).
% 117.40/117.42  cnf(1065,plain,
% 117.40/117.42     (P2(f5(f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1)),f4(f4(a1,a1),f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[1019,1021,1035,2,13])).
% 117.40/117.42  cnf(1066,plain,
% 117.40/117.42     (P2(f5(f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1)),x10661)+~E(f4(f4(a1,a1),f4(a1,a1)),x10661)),
% 117.40/117.42     inference(scs_inference,[],[1019,1021,1035,2,13,14])).
% 117.40/117.42  cnf(1073,plain,
% 117.40/117.42     (P2(f2(a6,f4(a1,a1)),x10731)+~E(f4(f4(a1,a1),f4(a1,a1)),x10731)),
% 117.40/117.42     inference(scs_inference,[],[1065,1057,13,14])).
% 117.40/117.42  cnf(1262,plain,
% 117.40/117.42     (E(f2(a1,f4(a1,a1)),f5(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[848,92,3])).
% 117.40/117.42  cnf(1263,plain,
% 117.40/117.42     (E(f5(f2(a1,a1),f2(a1,a1)),f2(a1,f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[848,92,3,2])).
% 117.40/117.42  cnf(1271,plain,
% 117.40/117.42     (E(f2(a1,a1),f5(f4(f2(a1,a1),f2(a1,a1)),f2(a1,a1)))+~P2(f2(a1,a1),f4(f2(a1,a1),f2(a1,a1)))+~P1(f4(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[92,15,796,926,525,3,2,54])).
% 117.40/117.42  cnf(1278,plain,
% 117.40/117.42     (E(f5(f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1)),f2(f4(a1,a1),a6))),
% 117.40/117.42     inference(scs_inference,[],[266,1025,3,2])).
% 117.40/117.42  cnf(1369,plain,
% 117.40/117.42     (~E(f2(a1,a1),a1)+E(f2(f4(a1,f5(a1,a1)),x13691),f2(a1,x13691))),
% 117.40/117.42     inference(scs_inference,[],[803,624,14])).
% 117.40/117.42  cnf(1370,plain,
% 117.40/117.42     (P1(f5(f4(a1,f2(a1,a1)),f2(a1,a6)))),
% 117.40/117.42     inference(scs_inference,[],[15,807,779,524,34])).
% 117.40/117.42  cnf(1402,plain,
% 117.40/117.42     (E(f2(x14021,f4(a6,f5(a6,a6))),f2(x14021,a6))+~E(f4(a6,a1),a6)),
% 117.40/117.42     inference(scs_inference,[],[16,15,686,33])).
% 117.40/117.42  cnf(1636,plain,
% 117.40/117.42     (P2(f5(f2(a1,a1),a1),f4(f2(a1,a1),f2(a1,a1)))+~P1(f4(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[804,835,13])).
% 117.40/117.42  cnf(1790,plain,
% 117.40/117.42     (P2(f5(f2(a1,a1),a1),x17901)+~E(f4(f2(a1,a1),f2(a1,a1)),x17901)+~P1(f4(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[1636,14])).
% 117.40/117.42  cnf(1982,plain,
% 117.40/117.42     (E(f2(a1,a1),f5(f5(f2(a1,a1),a1),f2(a1,a6)))),
% 117.40/117.42     inference(scs_inference,[],[867,525,3])).
% 117.40/117.42  cnf(1990,plain,
% 117.40/117.42     (P2(f5(f5(f2(a1,a1),f2(a1,a6)),f2(a1,a1)),f4(a1,f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[785,935,130,1982,3,13])).
% 117.40/117.42  cnf(2016,plain,
% 117.40/117.42     (P2(f5(f5(f2(a1,a1),f2(a1,a6)),f2(a1,a1)),f2(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[1990,130,14])).
% 117.40/117.42  cnf(2023,plain,
% 117.40/117.42     (P2(f5(f5(f2(a1,a1),f2(a1,a6)),f2(a1,a1)),f4(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[992,935,13])).
% 117.40/117.42  cnf(2117,plain,
% 117.40/117.42     (P1(f5(f4(a6,a6),a6))+~P2(a6,f4(a6,a6))+~P1(f4(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[16,537,12])).
% 117.40/117.42  cnf(2133,plain,
% 117.40/117.42     (~P2(a6,f4(a6,a6))+~P1(f4(a6,a6))+~E(f4(a7,f5(f4(a6,a6),a6)),a7)),
% 117.40/117.42     inference(scs_inference,[],[19,17,2117,33])).
% 117.40/117.42  cnf(2159,plain,
% 117.40/117.42     (E(a7,f5(f4(a7,a7),a7))+~P1(f4(a7,a7))),
% 117.40/117.42     inference(scs_inference,[],[17,574,47])).
% 117.40/117.42  cnf(2190,plain,
% 117.40/117.42     (E(f5(f4(a7,a7),a7),a7)+~P1(f4(a7,a7))),
% 117.40/117.42     inference(scs_inference,[],[2159,2])).
% 117.40/117.42  cnf(2221,plain,
% 117.40/117.42     (E(f5(f4(a7,a7),a7),a7)),
% 117.40/117.42     inference(scs_inference,[],[17,2190,31])).
% 117.40/117.42  cnf(2222,plain,
% 117.40/117.42     (E(a7,f5(f4(a7,a7),a7))),
% 117.40/117.42     inference(scs_inference,[],[2221,2])).
% 117.40/117.42  cnf(2223,plain,
% 117.40/117.42     (P1(f5(f4(a7,a7),a7))),
% 117.40/117.42     inference(scs_inference,[],[17,2221,2,12])).
% 117.40/117.42  cnf(2224,plain,
% 117.40/117.42     (~E(f4(a7,a7),f5(f4(a7,a7),a7))),
% 117.40/117.42     inference(scs_inference,[],[412,17,2221,2,12,3])).
% 117.40/117.42  cnf(2225,plain,
% 117.40/117.42     (P2(f5(f4(a7,a7),a7),f4(a7,a7))+~P1(f4(a7,a7))),
% 117.40/117.42     inference(scs_inference,[],[412,17,2221,2,12,3,395])).
% 117.40/117.42  cnf(2258,plain,
% 117.40/117.42     (P2(f5(f4(a7,a7),a7),x22581)+~E(f4(a7,a7),x22581)+~P1(f4(a7,a7))),
% 117.40/117.42     inference(scs_inference,[],[2225,14])).
% 117.40/117.42  cnf(2454,plain,
% 117.40/117.42     (~P1(f4(a6,a6))+~E(f4(a7,f5(f4(a6,a6),a6)),a7)),
% 117.40/117.42     inference(scs_inference,[],[2133,378])).
% 117.40/117.42  cnf(2485,plain,
% 117.40/117.42     (~E(f4(a7,f5(f4(a6,a6),a6)),a7)),
% 117.40/117.42     inference(scs_inference,[],[16,2454,31])).
% 117.40/117.42  cnf(2616,plain,
% 117.40/117.42     (E(f2(a1,a1),f5(f4(f2(a1,a1),f2(a1,a1)),f2(a1,a1)))+~P1(f4(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[1271,835])).
% 117.40/117.42  cnf(2632,plain,
% 117.40/117.42     (E(f5(f4(f2(a1,a1),f2(a1,a1)),f2(a1,a1)),f2(a1,a1))+~P1(f4(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[2616,2])).
% 117.40/117.42  cnf(2648,plain,
% 117.40/117.42     (E(f5(f4(f2(a1,a1),f2(a1,a1)),f2(a1,a1)),f2(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[802,2632,31])).
% 117.40/117.42  cnf(2649,plain,
% 117.40/117.42     (E(f2(a1,a1),f5(f4(f2(a1,a1),f2(a1,a1)),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[2648,2])).
% 117.40/117.42  cnf(2897,plain,
% 117.40/117.42     (E(a1,f2(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[15,2,20])).
% 117.40/117.42  cnf(2898,plain,
% 117.40/117.42     (E(f2(a1,a1),a1)),
% 117.40/117.42     inference(scs_inference,[],[2897,2])).
% 117.40/117.42  cnf(2899,plain,
% 117.40/117.42     (E(f2(f2(a1,f4(a1,a1)),a1),f2(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[111,2897,2,3])).
% 117.40/117.42  cnf(2900,plain,
% 117.40/117.42     (E(f2(f4(a1,f5(a1,a1)),x29001),f2(a1,x29001))),
% 117.40/117.42     inference(scs_inference,[],[111,2897,2,3,1369])).
% 117.40/117.42  cnf(2906,plain,
% 117.40/117.42     (E(f4(f2(a1,a1),a1),a1)),
% 117.40/117.42     inference(scs_inference,[],[206,2900,2898,2,3])).
% 117.40/117.42  cnf(2908,plain,
% 117.40/117.42     (P2(f2(a1,a1),a1)),
% 117.40/117.42     inference(scs_inference,[],[206,15,802,2900,2898,2,3,12,33])).
% 117.40/117.42  cnf(2910,plain,
% 117.40/117.42     (E(a1,f5(a1,f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[206,15,802,2900,2898,2,3,12,33,42])).
% 117.40/117.42  cnf(2912,plain,
% 117.40/117.42     (P2(f2(a1,a1),f5(f4(a1,f2(a1,a1)),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[206,15,802,828,2900,2898,2,3,12,33,42,14])).
% 117.40/117.42  cnf(2913,plain,
% 117.40/117.42     (P2(f5(f2(a1,a1),a1),a1)),
% 117.40/117.42     inference(scs_inference,[],[206,15,802,804,828,2900,2898,2,3,12,33,42,14,13])).
% 117.40/117.42  cnf(2916,plain,
% 117.40/117.42     (E(f5(a1,f2(a1,a1)),a1)),
% 117.40/117.42     inference(scs_inference,[],[2910,2])).
% 117.40/117.42  cnf(2917,plain,
% 117.40/117.42     (P2(f2(a1,a1),f2(a1,f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[2912,2910,905,2,14])).
% 117.40/117.42  cnf(2918,plain,
% 117.40/117.42     (P2(f5(f2(a1,a1),a1),f5(f4(a1,f2(a1,a1)),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[2912,797,2910,905,2,14,13])).
% 117.40/117.42  cnf(2919,plain,
% 117.40/117.42     (P1(f5(a1,f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[15,2912,797,2910,905,2,14,13,12])).
% 117.40/117.42  cnf(2924,plain,
% 117.40/117.42     (P2(f5(f2(a1,a1),f2(a1,a6)),f5(f4(a1,f2(a1,a1)),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[2918,525,905,2899,2,14,13])).
% 117.40/117.42  cnf(2928,plain,
% 117.40/117.42     (E(a1,f4(f2(a1,a1),a1))),
% 117.40/117.42     inference(scs_inference,[],[2906,2])).
% 117.40/117.42  cnf(2930,plain,
% 117.40/117.42     (P2(f5(f2(a1,a1),f2(a1,a6)),a1)),
% 117.40/117.42     inference(scs_inference,[],[2924,2913,525,905,2906,2,14,13])).
% 117.40/117.42  cnf(3006,plain,
% 117.40/117.42     (E(f4(f2(a1,a1),x30061),f4(f4(f2(a1,a1),a1),x30061))),
% 117.40/117.42     inference(scs_inference,[],[206,2,6])).
% 117.40/117.42  cnf(3046,plain,
% 117.40/117.42     (E(f5(f2(a1,a1),f2(a1,a1)),f5(a1,f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[207,15,914,865,2908,844,796,846,2898,13,3,14,42])).
% 117.40/117.42  cnf(3048,plain,
% 117.40/117.42     (E(a1,f4(f2(a1,a1),f5(f2(a1,a1),f2(a1,a1))))),
% 117.40/117.42     inference(scs_inference,[],[207,15,914,865,2908,844,796,846,2898,13,3,14,42,2])).
% 117.40/117.42  cnf(3051,plain,
% 117.40/117.42     (E(f5(a1,f2(a1,a1)),f5(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[3046,2])).
% 117.40/117.42  cnf(3053,plain,
% 117.40/117.42     (P2(f2(a1,a1),f4(f2(a1,a1),a1))),
% 117.40/117.42     inference(scs_inference,[],[207,843,809,3046,2,13,14])).
% 117.40/117.42  cnf(3056,plain,
% 117.40/117.42     (P2(f4(f2(a1,a1),a1),f2(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[207,809,13])).
% 117.40/117.42  cnf(3061,plain,
% 117.40/117.42     (P2(f4(f2(a1,a1),a1),f4(f2(a1,a1),a1))),
% 117.40/117.42     inference(scs_inference,[],[207,819,3056,13,14])).
% 117.40/117.42  cnf(3071,plain,
% 117.40/117.42     (P2(f4(f2(a1,a1),a1),a1)),
% 117.40/117.42     inference(scs_inference,[],[207,2917,92,13,14])).
% 117.40/117.42  cnf(3106,plain,
% 117.40/117.42     (E(f4(f5(a1,f2(a1,a1)),x31061),f4(a1,x31061))),
% 117.40/117.42     inference(scs_inference,[],[2916,1023,22,23,24,25,20,21,4,5,6])).
% 117.40/117.42  cnf(3107,plain,
% 117.40/117.42     (E(f4(x31071,f5(a1,f2(a1,a1))),f4(x31071,a1))),
% 117.40/117.42     inference(scs_inference,[],[2916,1023,22,23,24,25,20,21,4,5,6,7])).
% 117.40/117.42  cnf(3110,plain,
% 117.40/117.42     (E(f5(f5(a1,f2(a1,a1)),x31101),f5(a1,x31101))),
% 117.40/117.42     inference(scs_inference,[],[2916,1023,22,23,24,25,20,21,4,5,6,7,8,9,10])).
% 117.40/117.42  cnf(3117,plain,
% 117.40/117.42     (E(f4(f2(a1,a1),x31171),f4(f4(f2(a1,a1),a1),x31171))),
% 117.40/117.42     inference(rename_variables,[],[3006])).
% 117.40/117.42  cnf(3133,plain,
% 117.40/117.42     (E(f4(f2(a6,a6),f2(a6,a6)),f2(f4(a6,a6),a6))),
% 117.40/117.42     inference(scs_inference,[],[2916,2928,2930,3053,1023,808,2649,3061,1370,3048,3006,2485,2908,802,16,15,22,23,24,25,20,21,4,5,6,7,8,9,10,11,526,2,32,12,31,3,13,14,35,41,43,44,45,46])).
% 117.40/117.42  cnf(3147,plain,
% 117.40/117.42     (P2(f5(f2(a1,a1),a1),f4(f4(f2(a1,a1),a1),f2(a1,a1)))+~P1(f4(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[2916,2928,2930,3053,1023,808,2649,3051,3061,1370,3048,857,3006,3117,2485,2908,846,807,825,779,802,16,809,15,22,23,24,25,20,21,4,5,6,7,8,9,10,11,526,2,32,12,31,3,13,14,35,41,43,44,45,46,48,47,40,34,54,27,1790])).
% 117.40/117.42  cnf(3152,plain,
% 117.40/117.42     (E(f2(f2(a1,a1),a6),f2(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[1014,780,21,25])).
% 117.40/117.42  cnf(3155,plain,
% 117.40/117.42     (E(f2(a6,f2(a1,a1)),f2(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[1014,1016,780,21,25,7,23])).
% 117.40/117.42  cnf(3159,plain,
% 117.40/117.42     (E(f4(a1,f4(a1,a1)),f4(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[1014,1016,991,780,21,25,7,23,20,22])).
% 117.40/117.42  cnf(3170,plain,
% 117.40/117.42     (~E(a6,a1)),
% 117.40/117.42     inference(scs_inference,[],[1014,1016,18,991,780,21,25,7,23,20,22,6,24,8,10,11,4,5,9,2])).
% 117.40/117.42  cnf(3171,plain,
% 117.40/117.42     (P1(f2(f4(a1,a1),f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[1014,1016,18,991,780,21,25,7,23,20,22,6,24,8,10,11,4,5,9,2,32])).
% 117.40/117.42  cnf(3173,plain,
% 117.40/117.42     (P1(f4(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[1014,1016,18,991,780,21,25,7,23,20,22,6,24,8,10,11,4,5,9,2,32,31])).
% 117.40/117.42  cnf(3177,plain,
% 117.40/117.42     (~P2(a7,f5(f4(a7,a7),a7))),
% 117.40/117.42     inference(scs_inference,[],[19,1014,1016,1033,18,2221,991,780,21,25,7,23,20,22,6,24,8,10,11,4,5,9,2,32,31,3,13,14])).
% 117.40/117.42  cnf(3180,plain,
% 117.40/117.42     (~E(f4(a6,a6),a1)),
% 117.40/117.42     inference(scs_inference,[],[19,1014,1016,1033,18,2221,991,780,16,15,21,25,7,23,20,22,6,24,8,10,11,4,5,9,2,32,31,3,13,14,45,26])).
% 117.40/117.42  cnf(3188,plain,
% 117.40/117.42     (E(f4(f2(a1,a1),f2(a1,a1)),f2(f4(a1,a1),a1))),
% 117.40/117.42     inference(scs_inference,[],[19,3071,1014,812,1016,1033,18,2221,991,780,16,809,15,21,25,7,23,20,22,6,24,8,10,11,4,5,9,2,32,31,3,13,14,45,26,44,41,35,46])).
% 117.40/117.42  cnf(3192,plain,
% 117.40/117.42     (P2(f2(a1,a1),f4(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[19,3071,1014,812,1016,1033,18,2221,991,780,16,809,15,21,25,7,23,20,22,6,24,8,10,11,4,5,9,2,32,31,3,13,14,45,26,44,41,35,46,43,47])).
% 117.40/117.42  cnf(3196,plain,
% 117.40/117.42     (~E(f4(a6,a6),f4(a6,a1))),
% 117.40/117.42     inference(scs_inference,[],[19,3071,1014,812,1016,1033,18,2908,2221,991,780,16,809,15,21,25,7,23,20,22,6,24,8,10,11,4,5,9,2,32,31,3,13,14,45,26,44,41,35,46,43,47,53,36])).
% 117.40/117.42  cnf(3198,plain,
% 117.40/117.42     (~E(f4(a6,a6),f4(a1,a6))),
% 117.40/117.42     inference(scs_inference,[],[19,3071,1014,812,1016,1033,18,2908,2221,991,780,16,809,15,21,25,7,23,20,22,6,24,8,10,11,4,5,9,2,32,31,3,13,14,45,26,44,41,35,46,43,47,53,36,37])).
% 117.40/117.42  cnf(3200,plain,
% 117.40/117.42     (~E(f2(a6,a6),a1)),
% 117.40/117.42     inference(scs_inference,[],[19,3071,1014,812,1016,1033,18,2908,2221,991,780,16,809,15,21,25,7,23,20,22,6,24,8,10,11,4,5,9,2,32,31,3,13,14,45,26,44,41,35,46,43,47,53,36,37,28])).
% 117.40/117.42  cnf(3209,plain,
% 117.40/117.42     (~P2(a1,a1)+P1(f5(f5(a1,f2(a1,a1)),a1))),
% 117.40/117.42     inference(scs_inference,[],[19,3071,1014,812,3110,1016,1262,1033,18,2908,2221,991,780,16,809,15,21,25,7,23,20,22,6,24,8,10,11,4,5,9,2,32,31,3,13,14,45,26,44,41,35,46,43,47,53,36,37,28,40,3147,27,48,34])).
% 117.40/117.42  cnf(3214,plain,
% 117.40/117.42     (~E(f2(a6,a6),f2(a6,a1))),
% 117.40/117.42     inference(scs_inference,[],[19,3071,1014,812,3110,1016,1262,1033,18,2908,3053,2221,991,780,16,809,15,21,25,7,23,20,22,6,24,8,10,11,4,5,9,2,32,31,3,13,14,45,26,44,41,35,46,43,47,53,36,37,28,40,3147,27,48,34,54,38])).
% 117.40/117.42  cnf(3216,plain,
% 117.40/117.42     (~E(f2(a6,a6),f2(a1,a6))),
% 117.40/117.42     inference(scs_inference,[],[19,3071,1014,812,3110,1016,1262,1033,18,2908,3053,2221,991,780,16,809,15,21,25,7,23,20,22,6,24,8,10,11,4,5,9,2,32,31,3,13,14,45,26,44,41,35,46,43,47,53,36,37,28,40,3147,27,48,34,54,38,39])).
% 117.40/117.42  cnf(3221,plain,
% 117.40/117.42     (~E(f4(f2(a1,a1),f2(a1,a1)),x32211)+P2(f5(f2(a1,a1),a1),x32211)),
% 117.40/117.42     inference(scs_inference,[],[3173,1790])).
% 117.40/117.42  cnf(3222,plain,
% 117.40/117.42     (E(f2(a6,a6),a6)),
% 117.40/117.42     inference(scs_inference,[],[16,23])).
% 117.40/117.42  cnf(3224,plain,
% 117.40/117.42     (E(f2(a1,a6),a1)),
% 117.40/117.42     inference(scs_inference,[],[16,15,23,25])).
% 117.40/117.42  cnf(3226,plain,
% 117.40/117.42     (E(f4(a1,a6),a6)),
% 117.40/117.42     inference(scs_inference,[],[16,15,23,25,22])).
% 117.40/117.42  cnf(3233,plain,
% 117.40/117.42     (E(f4(a6,a1),a6)),
% 117.40/117.42     inference(scs_inference,[],[3171,862,16,15,23,25,22,21,20,10,24])).
% 117.40/117.42  cnf(3242,plain,
% 117.40/117.42     (~E(f4(a6,a1),f4(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3196,3171,862,16,15,23,25,22,21,20,10,24,8,6,11,7,5,9,4,2])).
% 117.40/117.42  cnf(3243,plain,
% 117.40/117.42     (P1(f2(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[3196,3171,862,796,16,15,23,25,22,21,20,10,24,8,6,11,7,5,9,4,2,32])).
% 117.40/117.42  cnf(3245,plain,
% 117.40/117.42     (P1(f4(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3196,3171,862,796,16,15,23,25,22,21,20,10,24,8,6,11,7,5,9,4,2,32,31])).
% 117.40/117.42  cnf(3248,plain,
% 117.40/117.42     (P2(f2(f4(a1,a1),a6),f4(f4(a1,a1),f4(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[3196,3159,3171,1278,862,1065,251,796,16,15,23,25,22,21,20,10,24,8,6,11,7,5,9,4,2,32,31,3,13])).
% 117.40/117.42  cnf(3262,plain,
% 117.40/117.42     (~E(f4(f4(a6,a6),f4(a6,a6)),a1)),
% 117.40/117.42     inference(scs_inference,[],[3170,3196,3180,3159,3171,3173,3192,3188,1278,862,1065,251,796,16,15,17,23,25,22,21,20,10,24,8,6,11,7,5,9,4,2,32,31,3,13,14,26,45,43,44,46,35,27])).
% 117.40/117.42  cnf(3266,plain,
% 117.40/117.42     (~E(f4(a1,a1),f4(a6,a1))),
% 117.40/117.42     inference(scs_inference,[],[3170,3196,3180,3159,3171,3173,3192,3188,1278,862,1065,18,251,1001,796,16,15,17,23,25,22,21,20,10,24,8,6,11,7,5,9,4,2,32,31,3,13,14,26,45,43,44,46,35,27,36,37])).
% 117.40/117.42  cnf(3268,plain,
% 117.40/117.42     (~E(f2(f4(a6,a6),a6),a1)),
% 117.40/117.42     inference(scs_inference,[],[3170,3196,3180,3159,3171,3173,3192,3188,1278,862,1065,18,251,1001,796,16,15,17,23,25,22,21,20,10,24,8,6,11,7,5,9,4,2,32,31,3,13,14,26,45,43,44,46,35,27,36,37,28])).
% 117.40/117.42  cnf(3270,plain,
% 117.40/117.42     (~E(f2(a1,a6),f2(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3170,3196,3180,3159,3171,3173,3192,3188,1278,862,1065,18,251,1001,796,16,15,17,23,25,22,21,20,10,24,8,6,11,7,5,9,4,2,32,31,3,13,14,26,45,43,44,46,35,27,36,37,28,39])).
% 117.40/117.42  cnf(3272,plain,
% 117.40/117.42     (~E(f2(f4(a6,a6),a6),f2(f4(a6,a6),a1))),
% 117.40/117.42     inference(scs_inference,[],[3170,3196,3180,3159,3171,3173,3192,3188,1278,862,1065,18,251,1001,796,16,15,17,23,25,22,21,20,10,24,8,6,11,7,5,9,4,2,32,31,3,13,14,26,45,43,44,46,35,27,36,37,28,39,38])).
% 117.40/117.42  cnf(3276,plain,
% 117.40/117.42     (P2(x32761,f4(a6,a6))+~E(a6,x32761)),
% 117.40/117.42     inference(scs_inference,[],[3170,3196,3180,3159,3171,3173,3192,3188,1278,862,1065,18,251,1001,796,16,15,17,23,25,22,21,20,10,24,8,6,11,7,5,9,4,2,32,31,3,13,14,26,45,43,44,46,35,27,36,37,28,39,38,3221,378])).
% 117.40/117.42  cnf(3277,plain,
% 117.40/117.42     (P2(f5(f4(a6,a6),a6),f4(a6,a6))+~P2(a6,f4(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3170,3196,3180,3159,3171,3173,3192,3188,1278,862,1065,18,251,1001,796,16,15,17,23,25,22,21,20,10,24,8,6,11,7,5,9,4,2,32,31,3,13,14,26,45,43,44,46,35,27,36,37,28,39,38,3221,378,537])).
% 117.40/117.42  cnf(3282,plain,
% 117.40/117.42     (P2(a6,f4(a6,a6))),
% 117.40/117.42     inference(equality_inference,[],[3276])).
% 117.40/117.42  cnf(3283,plain,
% 117.40/117.42     (~P2(a1,a1)+E(a6,f5(f4(a6,a6),a6))),
% 117.40/117.42     inference(scs_inference,[],[3245,60])).
% 117.40/117.42  cnf(3284,plain,
% 117.40/117.42     (P1(f5(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3233,316])).
% 117.40/117.42  cnf(3285,plain,
% 117.40/117.42     (P1(f2(f5(a6,a6),f5(a6,a6)))),
% 117.40/117.42     inference(scs_inference,[],[3233,444])).
% 117.40/117.42  cnf(3288,plain,
% 117.40/117.42     (E(f2(x32881,f4(a6,f5(a6,a6))),f2(x32881,a6))),
% 117.40/117.42     inference(scs_inference,[],[3233,1402])).
% 117.40/117.42  cnf(3291,plain,
% 117.40/117.42     (P1(f5(f4(a6,a6),a6))),
% 117.40/117.42     inference(scs_inference,[],[3282,3245,2117])).
% 117.40/117.42  cnf(3294,plain,
% 117.40/117.42     (P2(f5(f4(a6,a6),a6),f4(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3282,3277])).
% 117.40/117.42  cnf(3295,plain,
% 117.40/117.42     (E(f2(f4(a6,a6),a6),f4(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3277,25])).
% 117.40/117.42  cnf(3297,plain,
% 117.40/117.42     (E(f2(f4(a6,a6),a1),a1)),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3277,25,21])).
% 117.40/117.42  cnf(3299,plain,
% 117.40/117.42     (E(f2(a6,f4(a6,a6)),f4(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3277,25,21,23])).
% 117.40/117.42  cnf(3301,plain,
% 117.40/117.42     (E(f2(a1,f4(a6,a6)),a1)),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3277,25,21,23,20])).
% 117.40/117.42  cnf(3303,plain,
% 117.40/117.42     (E(f4(f4(a6,a6),a1),f4(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3277,25,21,23,20,24])).
% 117.40/117.42  cnf(3307,plain,
% 117.40/117.42     (E(f5(x33071,f2(a6,a6)),f5(x33071,a6))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3222,3277,25,21,23,20,24,22,11])).
% 117.40/117.42  cnf(3308,plain,
% 117.40/117.42     (E(f4(f2(a6,a6),x33081),f4(a6,x33081))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3222,3277,25,21,23,20,24,22,11,6])).
% 117.40/117.42  cnf(3313,plain,
% 117.40/117.42     (E(f2(f2(a6,a6),x33131),f2(a6,x33131))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3222,3277,25,21,23,20,24,22,11,6,10,8,7,9,4])).
% 117.40/117.42  cnf(3314,plain,
% 117.40/117.42     (E(f2(x33141,f2(a6,a6)),f2(x33141,a6))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3222,3277,25,21,23,20,24,22,11,6,10,8,7,9,4,5])).
% 117.40/117.42  cnf(3315,plain,
% 117.40/117.42     (~E(f4(a6,a1),f4(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3266,3222,3277,25,21,23,20,24,22,11,6,10,8,7,9,4,5,2])).
% 117.40/117.42  cnf(3316,plain,
% 117.40/117.42     (P1(f2(f4(a6,a6),f4(a6,a6)))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3266,3222,3277,25,21,23,20,24,22,11,6,10,8,7,9,4,5,2,32])).
% 117.40/117.42  cnf(3318,plain,
% 117.40/117.42     (P1(f4(f4(a6,a6),f4(a6,a6)))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3266,3222,3277,25,21,23,20,24,22,11,6,10,8,7,9,4,5,2,32,31])).
% 117.40/117.42  cnf(3320,plain,
% 117.40/117.42     (~E(f2(f4(a1,a1),a6),f4(a6,a1))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3266,3222,251,3277,25,21,23,20,24,22,11,6,10,8,7,9,4,5,2,32,31,3])).
% 117.40/117.42  cnf(3324,plain,
% 117.40/117.42     (P1(f3(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3266,3222,3177,2221,251,796,16,809,3277,25,21,23,20,24,22,11,6,10,8,7,9,4,5,2,32,31,3,13,41,35])).
% 117.40/117.42  cnf(3326,plain,
% 117.40/117.42     (P2(f4(a6,a6),f4(f4(a6,a6),f4(a6,a6)))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3266,3222,3177,2221,251,796,16,809,3277,25,21,23,20,24,22,11,6,10,8,7,9,4,5,2,32,31,3,13,41,35,47])).
% 117.40/117.42  cnf(3330,plain,
% 117.40/117.42     (~E(f2(f4(a6,a6),f4(a6,a6)),a1)),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3266,3222,3177,3180,2221,251,796,16,809,3277,25,21,23,20,24,22,11,6,10,8,7,9,4,5,2,32,31,3,13,41,35,47,53,28])).
% 117.40/117.42  cnf(3336,plain,
% 117.40/117.42     (P1(f5(f4(a6,a6),f2(a6,a6)))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3266,3222,3177,3262,3180,2221,251,796,16,809,15,3277,25,21,23,20,24,22,11,6,10,8,7,9,4,5,2,32,31,3,13,41,35,47,53,28,37,36,34])).
% 117.40/117.42  cnf(3338,plain,
% 117.40/117.42     (E(f4(a6,a6),f5(f4(f4(a6,a6),f4(a6,a6)),f4(a6,a6)))),
% 117.40/117.42     inference(scs_inference,[],[3245,3282,3266,3222,3177,3262,3180,2221,251,796,16,809,15,3277,25,21,23,20,24,22,11,6,10,8,7,9,4,5,2,32,31,3,13,41,35,47,53,28,37,36,34,54])).
% 117.40/117.42  cnf(3358,plain,
% 117.40/117.42     (E(f2(f5(a6,a6),a6),f5(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3284,25])).
% 117.40/117.42  cnf(3362,plain,
% 117.40/117.42     (E(f4(f5(a6,a6),a1),f5(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3284,25,23,24])).
% 117.40/117.42  cnf(3366,plain,
% 117.40/117.42     (E(f2(a1,f5(a6,a6)),a1)),
% 117.40/117.42     inference(scs_inference,[],[3284,25,23,24,22,20])).
% 117.40/117.42  cnf(3368,plain,
% 117.40/117.42     (E(f2(f5(a6,a6),a1),a1)),
% 117.40/117.42     inference(scs_inference,[],[3284,25,23,24,22,20,21])).
% 117.40/117.42  cnf(3372,plain,
% 117.40/117.42     (E(f5(x33721,f4(a6,a1)),f5(x33721,a6))),
% 117.40/117.42     inference(scs_inference,[],[3284,3233,25,23,24,22,20,21,10,6,11])).
% 117.40/117.42  cnf(3376,plain,
% 117.40/117.42     (E(f2(x33761,f4(a6,a1)),f2(x33761,a6))),
% 117.40/117.42     inference(scs_inference,[],[3284,3233,25,23,24,22,20,21,10,6,11,8,7,9,5])).
% 117.40/117.42  cnf(3377,plain,
% 117.40/117.42     (E(f2(f4(a6,a1),x33771),f2(a6,x33771))),
% 117.40/117.42     inference(scs_inference,[],[3284,3233,25,23,24,22,20,21,10,6,11,8,7,9,5,4])).
% 117.40/117.42  cnf(3378,plain,
% 117.40/117.42     (~E(f4(a1,a6),f4(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3284,3198,3233,25,23,24,22,20,21,10,6,11,8,7,9,5,4,2])).
% 117.40/117.42  cnf(3379,plain,
% 117.40/117.42     (P1(f2(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3284,3198,3233,16,25,23,24,22,20,21,10,6,11,8,7,9,5,4,2,32])).
% 117.40/117.42  cnf(3381,plain,
% 117.40/117.42     (P1(f5(f4(f4(a6,a6),f4(a6,a6)),f4(a6,a6)))),
% 117.40/117.42     inference(scs_inference,[],[3284,3198,3233,3338,3245,16,25,23,24,22,20,21,10,6,11,8,7,9,5,4,2,32,12])).
% 117.40/117.42  cnf(3382,plain,
% 117.40/117.42     (P1(f4(f5(a6,a6),f5(a6,a6)))),
% 117.40/117.42     inference(scs_inference,[],[3284,3198,3233,3338,3245,16,25,23,24,22,20,21,10,6,11,8,7,9,5,4,2,32,12,31])).
% 117.40/117.42  cnf(3386,plain,
% 117.40/117.42     (~E(f4(f2(a6,a6),f2(a6,a6)),a1)),
% 117.40/117.42     inference(scs_inference,[],[3284,3315,3198,3200,3233,3326,3338,3245,16,25,23,24,22,20,21,10,6,11,8,7,9,5,4,2,32,12,31,3,13,26])).
% 117.40/117.42  cnf(3392,plain,
% 117.40/117.42     (P2(f5(a6,a6),f4(f5(a6,a6),f5(a6,a6)))),
% 117.40/117.42     inference(scs_inference,[],[3284,3315,3198,3200,3233,3294,3326,3291,3338,3245,781,796,16,15,25,23,24,22,20,21,10,6,11,8,7,9,5,4,2,32,12,31,3,13,26,41,35,47])).
% 117.40/117.42  cnf(3396,plain,
% 117.40/117.42     (~E(f4(a7,f5(a6,a6)),a7)),
% 117.40/117.42     inference(scs_inference,[],[19,3284,3315,3198,3200,3233,3294,3326,3291,3338,3245,781,796,16,15,17,25,23,24,22,20,21,10,6,11,8,7,9,5,4,2,32,12,31,3,13,26,41,35,47,27,33])).
% 117.40/117.42  cnf(3400,plain,
% 117.40/117.42     (E(f2(a6,a1),a1)),
% 117.40/117.42     inference(scs_inference,[],[15,23])).
% 117.40/117.42  cnf(3402,plain,
% 117.40/117.42     (E(f2(a7,a6),a7)),
% 117.40/117.42     inference(scs_inference,[],[15,17,23,25])).
% 117.40/117.42  cnf(3404,plain,
% 117.40/117.42     (E(f2(f2(a6,a6),a1),a1)),
% 117.40/117.42     inference(scs_inference,[],[3379,15,17,23,25,21])).
% 117.40/117.42  cnf(3406,plain,
% 117.40/117.42     (E(f4(a1,f2(a6,a6)),f2(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3379,15,17,23,25,21,22])).
% 117.40/117.42  cnf(3408,plain,
% 117.40/117.42     (E(f2(a1,f2(a6,a6)),a1)),
% 117.40/117.42     inference(scs_inference,[],[3379,15,17,23,25,21,22,20])).
% 117.40/117.42  cnf(3410,plain,
% 117.40/117.42     (E(f4(f2(a6,a6),a1),f2(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3379,15,17,23,25,21,22,20,24])).
% 117.40/117.42  cnf(3415,plain,
% 117.40/117.42     (E(f4(f2(a1,a6),x34151),f4(a1,x34151))),
% 117.40/117.42     inference(scs_inference,[],[3379,3224,3226,15,17,23,25,21,22,20,24,10,8,11,6])).
% 117.40/117.42  cnf(3421,plain,
% 117.40/117.42     (P1(f2(f2(a6,a6),f2(a6,a6)))),
% 117.40/117.42     inference(scs_inference,[],[3379,3214,3224,3226,15,17,23,25,21,22,20,24,10,8,11,6,7,5,4,9,2,32])).
% 117.40/117.42  cnf(3423,plain,
% 117.40/117.42     (P1(f4(f2(a6,a6),f2(a6,a6)))),
% 117.40/117.42     inference(scs_inference,[],[3379,3214,3224,3226,15,17,23,25,21,22,20,24,10,8,11,6,7,5,4,9,2,32,31])).
% 117.40/117.42  cnf(3425,plain,
% 117.40/117.42     (~E(a1,f2(a6,a6))),
% 117.40/117.42     inference(scs_inference,[],[3379,3270,3214,3224,3226,15,17,23,25,21,22,20,24,10,8,11,6,7,5,4,9,2,32,31,3])).
% 117.40/117.42  cnf(3432,plain,
% 117.40/117.42     (~E(f2(f2(a6,a6),f2(a6,a6)),a1)),
% 117.40/117.42     inference(scs_inference,[],[3379,3270,3214,3224,3226,3382,3392,3386,3200,3284,15,17,23,25,21,22,20,24,10,8,11,6,7,5,4,9,2,32,31,3,26,27,35,28])).
% 117.40/117.42  cnf(3446,plain,
% 117.40/117.42     (E(f4(a1,a1),a1)),
% 117.40/117.42     inference(scs_inference,[],[15,22])).
% 117.40/117.42  cnf(3448,plain,
% 117.40/117.42     (E(f2(a6,a7),a7)),
% 117.40/117.42     inference(scs_inference,[],[15,17,22,23])).
% 117.40/117.42  cnf(3450,plain,
% 117.40/117.42     (E(f4(a7,a1),a7)),
% 117.40/117.42     inference(scs_inference,[],[15,17,22,23,24])).
% 117.40/117.42  cnf(3456,plain,
% 117.40/117.42     (E(f4(f2(a6,a1),x34561),f4(a1,x34561))),
% 117.40/117.42     inference(scs_inference,[],[3400,3243,15,17,22,23,24,20,21,6])).
% 117.40/117.42  cnf(3458,plain,
% 117.40/117.42     (E(f5(x34581,f2(a6,a1)),f5(x34581,a1))),
% 117.40/117.42     inference(scs_inference,[],[3400,3243,15,17,22,23,24,20,21,6,10,11])).
% 117.40/117.42  cnf(3460,plain,
% 117.40/117.42     (E(f4(x34601,f2(a6,a1)),f4(x34601,a1))),
% 117.40/117.42     inference(scs_inference,[],[3400,3243,15,17,22,23,24,20,21,6,10,11,8,7])).
% 117.40/117.42  cnf(3465,plain,
% 117.40/117.42     (P1(f4(a7,a7))),
% 117.40/117.42     inference(scs_inference,[],[3400,3320,3243,15,17,22,23,24,20,21,6,10,11,8,7,4,5,9,2,31])).
% 117.40/117.42  cnf(3467,plain,
% 117.40/117.42     (P1(f2(a7,a7))),
% 117.40/117.42     inference(scs_inference,[],[3400,3320,3243,15,17,22,23,24,20,21,6,10,11,8,7,4,5,9,2,31,32])).
% 117.40/117.42  cnf(3469,plain,
% 117.40/117.42     (E(f2(a7,a6),f5(f4(a7,a7),a7))),
% 117.40/117.42     inference(scs_inference,[],[3400,3402,3320,3243,2222,15,17,22,23,24,20,21,6,10,11,8,7,4,5,9,2,31,32,3])).
% 117.40/117.42  cnf(3470,plain,
% 117.40/117.42     (~P2(a7,f2(a7,a6))),
% 117.40/117.42     inference(scs_inference,[],[19,3400,3402,3320,3243,2222,15,17,22,23,24,20,21,6,10,11,8,7,4,5,9,2,31,32,3,14])).
% 117.40/117.42  cnf(3471,plain,
% 117.40/117.42     (~P2(f2(a7,a6),a7)),
% 117.40/117.42     inference(scs_inference,[],[19,3400,3402,3320,3243,2222,15,17,22,23,24,20,21,6,10,11,8,7,4,5,9,2,31,32,3,14,13])).
% 117.40/117.42  cnf(3476,plain,
% 117.40/117.42     (P2(a1,a1)),
% 117.40/117.42     inference(scs_inference,[],[19,3400,3402,3320,3243,3316,3330,3170,3200,3379,16,2222,15,17,22,23,24,20,21,6,10,11,8,7,4,5,9,2,31,32,3,14,13,27,28,33])).
% 117.40/117.42  cnf(3478,plain,
% 117.40/117.42     (E(a1,f5(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[19,3400,3402,3320,3243,3316,3330,3170,3200,3379,16,2222,15,17,22,23,24,20,21,6,10,11,8,7,4,5,9,2,31,32,3,14,13,27,28,33,42])).
% 117.40/117.42  cnf(3480,plain,
% 117.40/117.42     (E(a1,f4(a1,f5(a1,a1)))),
% 117.40/117.42     inference(scs_inference,[],[19,3400,3402,3320,3243,3316,3330,3170,3200,3379,16,2222,15,17,22,23,24,20,21,6,10,11,8,7,4,5,9,2,31,32,3,14,13,27,28,33,42,68])).
% 117.40/117.42  cnf(3481,plain,
% 117.40/117.42     (P1(f5(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[19,3400,3402,3320,3243,3316,3330,3170,3200,3379,16,2222,15,17,22,23,24,20,21,6,10,11,8,7,4,5,9,2,31,32,3,14,13,27,28,33,42,68,77])).
% 117.40/117.42  cnf(3482,plain,
% 117.40/117.42     (E(f4(a1,f5(a1,a1)),a1)),
% 117.40/117.42     inference(scs_inference,[],[19,3400,3402,3320,3243,3316,3330,3170,3200,3379,16,2222,15,17,22,23,24,20,21,6,10,11,8,7,4,5,9,2,31,32,3,14,13,27,28,33,42,68,77,66])).
% 117.40/117.42  cnf(3483,plain,
% 117.40/117.42     (E(f2(f4(a7,a7),a6),f4(a7,a7))),
% 117.40/117.42     inference(scs_inference,[],[19,3400,3402,3320,3243,3316,3330,3170,3200,3379,16,2222,15,17,22,23,24,20,21,6,10,11,8,7,4,5,9,2,31,32,3,14,13,27,28,33,42,68,77,66,25])).
% 117.40/117.42  cnf(3485,plain,
% 117.40/117.42     (P2(f5(f4(a7,a7),a7),f4(a7,a7))),
% 117.40/117.42     inference(scs_inference,[],[19,3400,3402,3320,3243,3316,3330,3170,3200,3379,16,2222,15,17,22,23,24,20,21,6,10,11,8,7,4,5,9,2,31,32,3,14,13,27,28,33,42,68,77,66,25,395])).
% 117.40/117.42  cnf(3487,plain,
% 117.40/117.42     (P1(f5(f4(f5(a6,a6),f5(a6,a6)),f5(a6,a6)))),
% 117.40/117.42     inference(scs_inference,[],[19,3400,3402,3320,3243,3316,3330,3382,3392,3170,3200,3284,3379,16,2222,15,17,22,23,24,20,21,6,10,11,8,7,4,5,9,2,31,32,3,14,13,27,28,33,42,68,77,66,25,395,48])).
% 117.40/117.42  cnf(3498,plain,
% 117.40/117.42     (P2(a7,f4(a7,a7))),
% 117.40/117.42     inference(scs_inference,[],[3465,61])).
% 117.40/117.42  cnf(3499,plain,
% 117.40/117.42     (P2(x34991,f4(a7,a7))+~E(a7,x34991)),
% 117.40/117.42     inference(scs_inference,[],[3465,395])).
% 117.40/117.42  cnf(3500,plain,
% 117.40/117.42     (~E(f4(a7,a7),x35001)+P2(f5(f4(a7,a7),a7),x35001)),
% 117.40/117.42     inference(scs_inference,[],[3465,2258])).
% 117.40/117.42  cnf(3502,plain,
% 117.40/117.42     (P1(f5(f5(a1,f2(a1,a1)),a1))),
% 117.40/117.42     inference(scs_inference,[],[3476,3209])).
% 117.40/117.42  cnf(3503,plain,
% 117.40/117.42     (E(a6,f5(f4(a6,a6),a6))),
% 117.40/117.42     inference(scs_inference,[],[3476,3283])).
% 117.40/117.42  cnf(3507,plain,
% 117.40/117.42     (E(f2(f2(a7,a7),a6),f2(a7,a7))),
% 117.40/117.42     inference(scs_inference,[],[3467,25])).
% 117.40/117.42  cnf(3509,plain,
% 117.40/117.42     (E(f2(a6,f4(a7,a7)),f4(a7,a7))),
% 117.40/117.42     inference(scs_inference,[],[3465,3467,25,23])).
% 117.40/117.42  cnf(3513,plain,
% 117.40/117.42     (E(f2(a1,f4(a7,a7)),a1)),
% 117.40/117.42     inference(scs_inference,[],[3465,3467,25,23,22,20])).
% 117.40/117.42  cnf(3515,plain,
% 117.40/117.42     (E(f2(f4(a7,a7),a1),a1)),
% 117.40/117.42     inference(scs_inference,[],[3465,3467,25,23,22,20,21])).
% 117.40/117.42  cnf(3517,plain,
% 117.40/117.42     (E(f4(f4(a7,a7),a1),f4(a7,a7))),
% 117.40/117.42     inference(scs_inference,[],[3465,3467,25,23,22,20,21,24])).
% 117.40/117.42  cnf(3520,plain,
% 117.40/117.42     (E(f5(f4(a1,a1),x35201),f5(a1,x35201))),
% 117.40/117.42     inference(scs_inference,[],[3465,3467,3446,25,23,22,20,21,24,6,10])).
% 117.40/117.42  cnf(3522,plain,
% 117.40/117.42     (E(f5(x35221,f4(a1,a1)),f5(x35221,a1))),
% 117.40/117.42     inference(scs_inference,[],[3465,3467,3446,25,23,22,20,21,24,6,10,8,11])).
% 117.40/117.42  cnf(3523,plain,
% 117.40/117.42     (E(f4(x35231,f4(a1,a1)),f4(x35231,a1))),
% 117.40/117.42     inference(scs_inference,[],[3465,3467,3446,25,23,22,20,21,24,6,10,8,11,7])).
% 117.40/117.42  cnf(3524,plain,
% 117.40/117.42     (E(f2(f4(a1,a1),x35241),f2(a1,x35241))),
% 117.40/117.42     inference(scs_inference,[],[3465,3467,3446,25,23,22,20,21,24,6,10,8,11,7,4])).
% 117.40/117.42  cnf(3527,plain,
% 117.40/117.42     (~E(a1,f2(f2(a6,a6),f2(a6,a6)))),
% 117.40/117.42     inference(scs_inference,[],[3465,3467,3446,3432,25,23,22,20,21,24,6,10,8,11,7,4,9,5,2])).
% 117.40/117.42  cnf(3528,plain,
% 117.40/117.42     (P1(f4(f4(a7,a7),f4(a7,a7)))),
% 117.40/117.42     inference(scs_inference,[],[3465,3467,3446,3432,25,23,22,20,21,24,6,10,8,11,7,4,9,5,2,31])).
% 117.40/117.42  cnf(3530,plain,
% 117.40/117.42     (P1(f2(f4(a7,a7),f4(a7,a7)))),
% 117.40/117.42     inference(scs_inference,[],[3465,3467,3446,3432,25,23,22,20,21,24,6,10,8,11,7,4,9,5,2,31,32])).
% 117.40/117.42  cnf(3532,plain,
% 117.40/117.42     (~E(a6,f2(a1,a6))),
% 117.40/117.42     inference(scs_inference,[],[3465,3467,3446,3216,3432,3222,25,23,22,20,21,24,6,10,8,11,7,4,9,5,2,31,32,3])).
% 117.40/117.42  cnf(3537,plain,
% 117.40/117.42     (E(f4(a1,f3(a1,a1)),a1)),
% 117.40/117.42     inference(scs_inference,[],[3476,3465,3467,3446,3216,3485,3432,1037,2223,1019,3222,15,25,23,22,20,21,24,6,10,8,11,7,4,9,5,2,31,32,3,13,14,48,41])).
% 117.40/117.42  cnf(3539,plain,
% 117.40/117.42     (P1(f3(a1,a1))),
% 117.40/117.42     inference(scs_inference,[],[3476,3465,3467,3446,3216,3485,3432,1037,2223,1019,3222,15,25,23,22,20,21,24,6,10,8,11,7,4,9,5,2,31,32,3,13,14,48,41,35])).
% 117.40/117.42  cnf(3544,plain,
% 117.40/117.42     (~E(f4(a7,f4(a7,a7)),f4(a7,a7))),
% 117.40/117.42     inference(scs_inference,[],[3476,3465,3498,3467,3446,3216,3485,3307,3432,1037,2223,2224,1019,3282,3222,3245,16,15,17,25,23,22,20,21,24,6,10,8,11,7,4,9,5,2,31,32,3,13,14,48,41,35,40,42])).
% 117.40/117.42  cnf(3553,plain,
% 117.40/117.42     (P1(f2(a7,a6))),
% 117.40/117.42     inference(scs_inference,[],[3476,3465,3498,3467,3446,3216,3485,3307,3421,3469,3432,1037,2223,2224,1019,3282,3222,3245,16,15,17,25,23,22,20,21,24,6,10,8,11,7,4,9,5,2,31,32,3,13,14,48,41,35,40,42,1073,26,27,53,34])).
% 117.40/117.42  cnf(3555,plain,
% 117.40/117.42     (~E(f4(a7,f4(a7,a7)),a7)),
% 117.40/117.42     inference(scs_inference,[],[19,3476,3465,3498,3467,3446,3216,3485,3307,3421,3469,3432,1037,2223,2224,1019,3282,3222,3245,16,15,17,25,23,22,20,21,24,6,10,8,11,7,4,9,5,2,31,32,3,13,14,48,41,35,40,42,1073,26,27,53,34,33])).
% 117.40/117.42  cnf(3557,plain,
% 117.40/117.42     (E(f4(a7,a7),f5(f4(f4(a7,a7),f4(a7,a7)),f4(a7,a7)))+~P2(f4(a7,a7),f4(f4(a7,a7),f4(a7,a7)))),
% 117.40/117.42     inference(scs_inference,[],[19,3476,3465,3498,3467,3446,3216,3485,3307,3421,3469,3432,1037,2223,2224,1019,3282,3222,3245,16,15,17,25,23,22,20,21,24,6,10,8,11,7,4,9,5,2,31,32,3,13,14,48,41,35,40,42,1073,26,27,53,34,33,54])).
% 117.40/117.42  cnf(3562,plain,
% 117.40/117.43     (E(f2(f5(a1,a1),a6),f5(a1,a1))),
% 117.40/117.43     inference(scs_inference,[],[3481,3523,1073,25])).
% 117.40/117.43  cnf(3564,plain,
% 117.40/117.43     (E(f2(a6,f5(a1,a1)),f5(a1,a1))),
% 117.40/117.43     inference(scs_inference,[],[3481,3523,1073,25,23])).
% 117.40/117.43  cnf(3566,plain,
% 117.40/117.43     (E(f2(a1,f5(a1,a1)),a1)),
% 117.40/117.43     inference(scs_inference,[],[3481,3523,1073,25,23,20])).
% 117.40/117.43  cnf(3568,plain,
% 117.40/117.43     (E(f4(f5(a1,a1),a1),f5(a1,a1))),
% 117.40/117.43     inference(scs_inference,[],[3481,3523,1073,25,23,20,24])).
% 117.40/117.43  cnf(3570,plain,
% 117.40/117.43     (E(f2(f5(a1,a1),a1),a1)),
% 117.40/117.43     inference(scs_inference,[],[3481,3523,1073,25,23,20,24,21])).
% 117.40/117.43  cnf(3572,plain,
% 117.40/117.43     (E(f4(a1,f5(a1,a1)),f5(a1,a1))),
% 117.40/117.43     inference(scs_inference,[],[3481,3523,1073,25,23,20,24,21,22])).
% 117.40/117.43  cnf(3574,plain,
% 117.40/117.43     (E(f5(x35741,a1),f5(x35741,f5(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[3481,3478,3523,1073,25,23,20,24,21,22,11])).
% 117.40/117.43  cnf(3575,plain,
% 117.40/117.43     (E(f3(a1,x35751),f3(f5(a1,a1),x35751))),
% 117.40/117.43     inference(scs_inference,[],[3481,3478,3523,1073,25,23,20,24,21,22,11,8])).
% 117.40/117.43  cnf(3576,plain,
% 117.40/117.43     (E(f4(a1,x35761),f4(f5(a1,a1),x35761))),
% 117.40/117.43     inference(scs_inference,[],[3481,3478,3523,1073,25,23,20,24,21,22,11,8,6])).
% 117.40/117.43  cnf(3578,plain,
% 117.40/117.43     (E(f4(x35781,a1),f4(x35781,f5(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[3481,3478,3523,1073,25,23,20,24,21,22,11,8,6,10,7])).
% 117.40/117.43  cnf(3579,plain,
% 117.40/117.43     (E(f2(a1,x35791),f2(f5(a1,a1),x35791))),
% 117.40/117.43     inference(scs_inference,[],[3481,3478,3523,1073,25,23,20,24,21,22,11,8,6,10,7,4])).
% 117.40/117.43  cnf(3580,plain,
% 117.40/117.43     (E(f3(x35801,a1),f3(x35801,f5(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[3481,3478,3523,1073,25,23,20,24,21,22,11,8,6,10,7,4,9])).
% 117.40/117.43  cnf(3581,plain,
% 117.40/117.43     (E(f2(x35811,a1),f2(x35811,f5(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[3481,3478,3523,1073,25,23,20,24,21,22,11,8,6,10,7,4,9,5])).
% 117.40/117.43  cnf(3583,plain,
% 117.40/117.43     (P1(f2(f5(a1,a1),f5(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[3481,3478,3532,3523,1073,25,23,20,24,21,22,11,8,6,10,7,4,9,5,2,32])).
% 117.40/117.43  cnf(3585,plain,
% 117.40/117.43     (P1(f4(f5(a1,a1),f5(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[3481,3478,3532,3523,1073,25,23,20,24,21,22,11,8,6,10,7,4,9,5,2,32,31])).
% 117.40/117.43  cnf(3587,plain,
% 117.40/117.43     (~E(f5(a1,a1),f2(a6,a6))),
% 117.40/117.43     inference(scs_inference,[],[3481,3425,3478,3532,3523,1073,25,23,20,24,21,22,11,8,6,10,7,4,9,5,2,32,31,3])).
% 117.40/117.43  cnf(3588,plain,
% 117.40/117.43     (~P2(f2(a6,a7),a7)),
% 117.40/117.43     inference(scs_inference,[],[19,3481,3425,3478,3532,3448,3523,1073,25,23,20,24,21,22,11,8,6,10,7,4,9,5,2,32,31,3,13])).
% 117.40/117.43  cnf(3589,plain,
% 117.40/117.43     (~P2(a7,f2(a6,a7))),
% 117.40/117.43     inference(scs_inference,[],[19,3481,3425,3478,3532,3448,3523,1073,25,23,20,24,21,22,11,8,6,10,7,4,9,5,2,32,31,3,13,14])).
% 117.40/117.43  cnf(3595,plain,
% 117.40/117.43     (P1(f5(a1,f2(a1,a6)))),
% 117.40/117.43     inference(scs_inference,[],[19,3481,3425,3478,3532,3448,3523,3372,3282,3379,3245,525,16,1073,25,23,20,24,21,22,11,8,6,10,7,4,9,5,2,32,31,3,13,14,36,40,12])).
% 117.40/117.43  cnf(3599,plain,
% 117.40/117.43     (P2(f5(a1,a1),f4(f5(a1,a1),f5(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[19,3481,3425,3478,3532,3448,3523,3372,3282,3379,3245,525,16,1073,25,23,20,24,21,22,11,8,6,10,7,4,9,5,2,32,31,3,13,14,36,40,12,26,47])).
% 117.40/117.43  cnf(3603,plain,
% 117.40/117.43     (E(f5(a6,a6),f5(f4(f5(a6,a6),f5(a6,a6)),f5(a6,a6)))),
% 117.40/117.43     inference(scs_inference,[],[19,3481,3425,3478,3532,3448,3523,3372,3382,3392,3282,3284,3379,3245,525,16,1073,25,23,20,24,21,22,11,8,6,10,7,4,9,5,2,32,31,3,13,14,36,40,12,26,47,37,54])).
% 117.40/117.43  cnf(3607,plain,
% 117.40/117.43     (E(f2(f2(a7,a6),a6),f2(a7,a6))),
% 117.40/117.43     inference(scs_inference,[],[3553,25])).
% 117.40/117.43  cnf(3609,plain,
% 117.40/117.43     (E(f2(a6,f2(a7,a6)),f2(a7,a6))),
% 117.40/117.43     inference(scs_inference,[],[3553,25,23])).
% 117.40/117.43  cnf(3611,plain,
% 117.40/117.43     (E(f2(a1,f2(a7,a6)),a1)),
% 117.40/117.43     inference(scs_inference,[],[3553,25,23,20])).
% 117.40/117.43  cnf(3613,plain,
% 117.40/117.43     (E(f4(a1,f2(a7,a6)),f2(a7,a6))),
% 117.40/117.43     inference(scs_inference,[],[3553,25,23,20,22])).
% 117.40/117.43  cnf(3615,plain,
% 117.40/117.43     (E(f4(f2(a7,a6),a1),f2(a7,a6))),
% 117.40/117.43     inference(scs_inference,[],[3553,25,23,20,22,24])).
% 117.40/117.43  cnf(3617,plain,
% 117.40/117.43     (E(f2(f2(a7,a6),a1),a1)),
% 117.40/117.43     inference(scs_inference,[],[3553,25,23,20,22,24,21])).
% 117.40/117.43  cnf(3621,plain,
% 117.40/117.43     (E(f4(x36211,f4(a7,a1)),f4(x36211,a7))),
% 117.40/117.43     inference(scs_inference,[],[3553,3450,25,23,20,22,24,21,8,10,7])).
% 117.40/117.43  cnf(3622,plain,
% 117.40/117.43     (E(f4(f4(a7,a1),x36221),f4(a7,x36221))),
% 117.40/117.43     inference(scs_inference,[],[3553,3450,25,23,20,22,24,21,8,10,7,6])).
% 117.40/117.43  cnf(3624,plain,
% 117.40/117.43     (E(f2(f4(a7,a1),x36241),f2(a7,x36241))),
% 117.40/117.43     inference(scs_inference,[],[3553,3450,25,23,20,22,24,21,8,10,7,6,11,4])).
% 117.40/117.43  cnf(3626,plain,
% 117.40/117.43     (E(f2(x36261,f4(a7,a1)),f2(x36261,a7))),
% 117.40/117.43     inference(scs_inference,[],[3553,3450,25,23,20,22,24,21,8,10,7,6,11,4,9,5])).
% 117.40/117.43  cnf(3627,plain,
% 117.40/117.43     (~E(f2(a6,a6),f5(a1,a1))),
% 117.40/117.43     inference(scs_inference,[],[3587,3553,3450,25,23,20,22,24,21,8,10,7,6,11,4,9,5,2])).
% 117.40/117.43  cnf(3628,plain,
% 117.40/117.43     (P1(f4(f2(a7,a6),f2(a7,a6)))),
% 117.40/117.43     inference(scs_inference,[],[3587,3553,3450,25,23,20,22,24,21,8,10,7,6,11,4,9,5,2,31])).
% 117.40/117.43  cnf(3630,plain,
% 117.40/117.43     (P1(f2(f2(a7,a6),f2(a7,a6)))),
% 117.40/117.43     inference(scs_inference,[],[3587,3553,3450,25,23,20,22,24,21,8,10,7,6,11,4,9,5,2,31,32])).
% 117.40/117.43  cnf(3632,plain,
% 117.40/117.43     (~E(f5(a1,f5(a1,a1)),f2(a6,a6))),
% 117.40/117.43     inference(scs_inference,[],[3587,3553,3450,3574,25,23,20,22,24,21,8,10,7,6,11,4,9,5,2,31,32,3])).
% 117.40/117.43  cnf(3634,plain,
% 117.40/117.43     (~P2(f4(a7,a1),a7)),
% 117.40/117.43     inference(scs_inference,[],[19,3587,3553,3450,3574,25,23,20,22,24,21,8,10,7,6,11,4,9,5,2,31,32,3,13])).
% 117.40/117.43  cnf(3635,plain,
% 117.40/117.43     (~P2(a7,f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[19,3587,3553,3450,3574,25,23,20,22,24,21,8,10,7,6,11,4,9,5,2,31,32,3,13,14])).
% 117.40/117.43  cnf(3638,plain,
% 117.40/117.43     (~P1(f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[19,3587,3553,3450,3574,3498,3465,15,17,25,23,20,22,24,21,8,10,7,6,11,4,9,5,2,31,32,3,13,14,41,47])).
% 117.40/117.43  cnf(3646,plain,
% 117.40/117.43     (~E(f4(a7,a1),f5(f2(a1,a1),f2(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[19,3587,3553,3450,3572,3574,2223,3476,2224,3498,3481,3465,3379,802,809,15,17,25,23,20,22,24,21,8,10,7,6,11,4,9,5,2,31,32,3,13,14,41,47,37,36,40,34])).
% 117.40/117.43  cnf(3650,plain,
% 117.40/117.43     (~E(f2(a7,a6),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[19,3587,3553,3450,3572,3574,2223,3476,2224,3498,3481,3465,3379,802,809,15,17,25,23,20,22,24,21,8,10,7,6,11,4,9,5,2,31,32,3,13,14,41,47,37,36,40,34,42,12])).
% 117.40/117.43  cnf(3653,plain,
% 117.40/117.43     (E(f5(a1,a1),f5(f4(f5(a1,a1),f5(a1,a1)),f5(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[19,3587,3553,3450,3572,3585,3599,3574,3268,2223,3476,2224,3498,3481,3465,3379,802,809,15,17,25,23,20,22,24,21,8,10,7,6,11,4,9,5,2,31,32,3,13,14,41,47,37,36,40,34,42,12,26,54])).
% 117.40/117.43  cnf(3657,plain,
% 117.40/117.43     (E(f2(f3(a1,a1),a6),f3(a1,a1))),
% 117.40/117.43     inference(scs_inference,[],[3539,25])).
% 117.40/117.43  cnf(3661,plain,
% 117.40/117.43     (E(f2(a1,f3(a1,a1)),a1)),
% 117.40/117.43     inference(scs_inference,[],[3539,25,23,20])).
% 117.40/117.43  cnf(3663,plain,
% 117.40/117.43     (E(f4(a1,f3(a1,a1)),f3(a1,a1))),
% 117.40/117.43     inference(scs_inference,[],[3539,25,23,20,22])).
% 117.40/117.43  cnf(3667,plain,
% 117.40/117.43     (E(f2(f3(a1,a1),a1),a1)),
% 117.40/117.43     inference(scs_inference,[],[3539,25,23,20,22,24,21])).
% 117.40/117.43  cnf(3677,plain,
% 117.40/117.43     (~E(f4(a7,a1),f2(a7,a6))),
% 117.40/117.43     inference(scs_inference,[],[3650,3539,3482,3537,25,23,20,22,24,21,8,7,11,10,6,4,9,5,2])).
% 117.40/117.43  cnf(3678,plain,
% 117.40/117.43     (~E(f3(a1,a1),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[3650,3539,3638,3482,3537,25,23,20,22,24,21,8,7,11,10,6,4,9,5,2,12])).
% 117.40/117.43  cnf(3679,plain,
% 117.40/117.43     (P1(f2(f3(a1,a1),f3(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[3650,3539,3638,3482,3537,25,23,20,22,24,21,8,7,11,10,6,4,9,5,2,12,32])).
% 117.40/117.43  cnf(3681,plain,
% 117.40/117.43     (P1(f4(f3(a1,a1),f3(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[3650,3539,3638,3482,3537,25,23,20,22,24,21,8,7,11,10,6,4,9,5,2,12,32,31])).
% 117.40/117.43  cnf(3685,plain,
% 117.40/117.43     (~P2(f2(a6,a7),f2(a7,a6))),
% 117.40/117.43     inference(scs_inference,[],[3650,3539,3638,3470,3152,3482,3579,3537,3448,25,23,20,22,24,21,8,7,11,10,6,4,9,5,2,12,32,31,3,13])).
% 117.40/117.43  cnf(3694,plain,
% 117.40/117.43     (P2(f4(a7,a7),f4(f4(a7,a7),f4(a7,a7)))),
% 117.40/117.43     inference(scs_inference,[],[3650,3539,3638,3470,3152,3314,3482,3528,3579,3537,937,2023,3316,3330,3448,3465,992,972,15,25,23,20,22,24,21,8,7,11,10,6,4,9,5,2,12,32,31,3,13,14,26,35,41,47])).
% 117.40/117.43  cnf(3707,plain,
% 117.40/117.43     (E(f3(a1,a1),f5(a1,a1))),
% 117.40/117.43     inference(scs_inference,[],[3627,3650,3539,3638,3470,3152,3314,3520,3482,3528,3579,3537,937,2023,3294,3316,3291,3330,3448,3476,3481,3465,3379,3245,992,972,15,25,23,20,22,24,21,8,7,11,10,6,4,9,5,2,12,32,31,3,13,14,26,35,41,47,37,36,40,27,34,42])).
% 117.40/117.43  cnf(3711,plain,
% 117.40/117.43     (E(f4(a7,a7),f5(f4(f4(a7,a7),f4(a7,a7)),f4(a7,a7)))),
% 117.40/117.43     inference(scs_inference,[],[3694,3557])).
% 117.40/117.43  cnf(3730,plain,
% 117.40/117.43     (~E(f4(a7,a1),f3(a1,a1))),
% 117.40/117.43     inference(scs_inference,[],[3707,3678,3285,3467,23,20,24,22,21,8,11,6,7,9,4,10,5,2])).
% 117.40/117.43  cnf(3731,plain,
% 117.40/117.43     (P1(f4(f2(a7,a7),f2(a7,a7)))),
% 117.40/117.43     inference(scs_inference,[],[3707,3678,3285,3467,23,20,24,22,21,8,11,6,7,9,4,10,5,2,31])).
% 117.40/117.43  cnf(3733,plain,
% 117.40/117.43     (P1(f2(f2(a7,a7),f2(a7,a7)))),
% 117.40/117.43     inference(scs_inference,[],[3707,3678,3285,3467,23,20,24,22,21,8,11,6,7,9,4,10,5,2,31,32])).
% 117.40/117.43  cnf(3735,plain,
% 117.40/117.43     (~E(f2(f5(a6,a6),f5(a6,a6)),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[3707,3678,3285,3467,3638,23,20,24,22,21,8,11,6,7,9,4,10,5,2,31,32,12])).
% 117.40/117.43  cnf(3736,plain,
% 117.40/117.43     (~E(f5(a1,a1),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[3707,3678,3285,3467,3638,23,20,24,22,21,8,11,6,7,9,4,10,5,2,31,32,12,3])).
% 117.40/117.43  cnf(3738,plain,
% 117.40/117.43     (E(f2(f2(a6,a6),x37381),f2(a6,x37381))),
% 117.40/117.43     inference(rename_variables,[],[3313])).
% 117.40/117.43  cnf(3739,plain,
% 117.40/117.43     (~P2(f2(f2(a6,a6),a7),f2(a7,a6))),
% 117.40/117.43     inference(scs_inference,[],[3707,3678,3685,3589,3313,3738,3285,3467,3638,23,20,24,22,21,8,11,6,7,9,4,10,5,2,31,32,12,3,14,13])).
% 117.40/117.43  cnf(3745,plain,
% 117.40/117.43     (P2(f2(a7,a7),f4(f2(a7,a7),f2(a7,a7)))),
% 117.40/117.43     inference(scs_inference,[],[3707,3678,3685,3589,3313,3738,3285,3694,3467,3528,3638,3170,3465,16,23,20,24,22,21,8,11,6,7,9,4,10,5,2,31,32,12,3,14,13,35,27,47])).
% 117.40/117.43  cnf(3761,plain,
% 117.40/117.43     (E(f4(a1,a7),a7)),
% 117.40/117.43     inference(scs_inference,[],[3324,3711,17,3500,20,22])).
% 117.40/117.43  cnf(3766,plain,
% 117.40/117.43     (E(f4(x37661,a1),f4(x37661,f4(a1,f5(a1,a1))))),
% 117.40/117.43     inference(scs_inference,[],[3324,3480,3711,17,3500,20,22,21,11,7])).
% 117.40/117.43  cnf(3770,plain,
% 117.40/117.43     (E(f4(a1,x37701),f4(f4(a1,f5(a1,a1)),x37701))),
% 117.40/117.43     inference(scs_inference,[],[3324,3480,3297,3711,17,3500,20,22,21,11,7,8,4,10,6])).
% 117.40/117.43  cnf(3773,plain,
% 117.40/117.43     (~E(f4(a7,a1),f5(a1,a1))),
% 117.40/117.43     inference(scs_inference,[],[3736,3324,3480,3297,3711,17,3500,20,22,21,11,7,8,4,10,6,9,5,2])).
% 117.40/117.43  cnf(3774,plain,
% 117.40/117.43     (~E(f3(f2(a1,a1),f2(a1,a1)),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[3736,3324,3480,3297,3711,3638,17,3500,20,22,21,11,7,8,4,10,6,9,5,2,12])).
% 117.40/117.43  cnf(3775,plain,
% 117.40/117.43     (~E(f4(a6,a6),f2(f4(a6,a6),a1))),
% 117.40/117.43     inference(scs_inference,[],[3736,3295,3324,3480,3297,3711,3272,3638,17,3500,20,22,21,11,7,8,4,10,6,9,5,2,12,3])).
% 117.40/117.43  cnf(3778,plain,
% 117.40/117.43     (~P2(f2(a7,a6),f2(a7,a6))),
% 117.40/117.43     inference(scs_inference,[],[3736,3588,3471,3295,3377,3324,3480,3297,3711,3272,3402,3638,17,3500,20,22,21,11,7,8,4,10,6,9,5,2,12,3,13,14])).
% 117.40/117.43  cnf(3779,plain,
% 117.40/117.43     (P1(f5(f4(f2(a7,a7),f2(a7,a7)),f2(a7,a7)))),
% 117.40/117.43     inference(scs_inference,[],[3736,3588,3471,3295,3377,3324,3745,3731,3480,3297,3711,3272,3402,3638,3467,17,3500,20,22,21,11,7,8,4,10,6,9,5,2,12,3,13,14,48])).
% 117.40/117.43  cnf(3789,plain,
% 117.40/117.43     (P2(f3(a1,a1),f4(f3(a1,a1),f3(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[3736,3588,3471,3295,3562,3377,3324,3745,3731,3681,3480,3297,3711,3272,3402,3638,3476,3467,3553,3539,15,17,3500,20,22,21,11,7,8,4,10,6,9,5,2,12,3,13,14,48,40,34,33,26,47])).
% 117.40/117.43  cnf(3797,plain,
% 117.40/117.43     (E(f5(x37971,f4(a1,a7)),f5(x37971,a7))),
% 117.40/117.43     inference(scs_inference,[],[3761,3530,20,21,11])).
% 117.40/117.43  cnf(3801,plain,
% 117.40/117.43     (E(f4(x38011,f4(a1,a7)),f4(x38011,a7))),
% 117.40/117.43     inference(scs_inference,[],[3761,3530,20,21,11,8,10,9,7])).
% 117.40/117.43  cnf(3802,plain,
% 117.40/117.43     (E(f2(f4(a1,a7),x38021),f2(a7,x38021))),
% 117.40/117.43     inference(scs_inference,[],[3761,3530,20,21,11,8,10,9,7,4])).
% 117.40/117.43  cnf(3803,plain,
% 117.40/117.43     (E(f2(x38031,f4(a1,a7)),f2(x38031,a7))),
% 117.40/117.43     inference(scs_inference,[],[3761,3530,20,21,11,8,10,9,7,4,5])).
% 117.40/117.43  cnf(3804,plain,
% 117.40/117.43     (E(f4(f4(a1,a7),x38041),f4(a7,x38041))),
% 117.40/117.43     inference(scs_inference,[],[3761,3530,20,21,11,8,10,9,7,4,5,6])).
% 117.40/117.43  cnf(3806,plain,
% 117.40/117.43     (~E(f2(f4(a7,a7),f4(a7,a7)),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[3761,3544,3530,3638,20,21,11,8,10,9,7,4,5,6,2,12])).
% 117.40/117.43  cnf(3807,plain,
% 117.40/117.43     (~E(f4(a7,f5(a1,a1)),f5(a1,a1))),
% 117.40/117.43     inference(scs_inference,[],[3773,3761,3544,3530,3578,3638,20,21,11,8,10,9,7,4,5,6,2,12,3])).
% 117.40/117.43  cnf(3809,plain,
% 117.40/117.43     (~P2(a7,f4(a1,a7))),
% 117.40/117.43     inference(scs_inference,[],[19,3773,3761,3544,3530,3578,3638,20,21,11,8,10,9,7,4,5,6,2,12,3,14])).
% 117.40/117.43  cnf(3810,plain,
% 117.40/117.43     (~P2(f4(a1,a7),a7)),
% 117.40/117.43     inference(scs_inference,[],[19,3773,3761,3544,3530,3578,3638,20,21,11,8,10,9,7,4,5,6,2,12,3,14,13])).
% 117.40/117.43  cnf(3844,plain,
% 117.40/117.43     (~E(f2(f5(a1,a1),f5(a1,a1)),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[3806,3583,3301,3638,20,21,11,10,8,5,7,9,6,4,2,12])).
% 117.40/117.43  cnf(3847,plain,
% 117.40/117.43     (~P2(f2(a7,a6),f2(f2(a7,a6),a6))),
% 117.40/117.43     inference(scs_inference,[],[3778,3155,3806,3607,3583,3581,3301,3638,20,21,11,10,8,5,7,9,6,4,2,12,3,14])).
% 117.40/117.43  cnf(3848,plain,
% 117.40/117.43     (~P2(f2(f2(a7,a6),a6),f2(a7,a6))),
% 117.40/117.43     inference(scs_inference,[],[3778,3155,3806,3607,3583,3581,3301,3638,20,21,11,10,8,5,7,9,6,4,2,12,3,14,13])).
% 117.40/117.43  cnf(3855,plain,
% 117.40/117.43     (E(f2(a7,a7),f5(f4(f2(a7,a7),f2(a7,a7)),f2(a7,a7)))),
% 117.40/117.43     inference(scs_inference,[],[19,3778,3155,3806,3607,3564,3583,3789,3581,3301,3681,3745,3731,3638,3476,3467,3539,15,17,20,21,11,10,8,5,7,9,6,4,2,12,3,14,13,35,40,33,54])).
% 117.40/117.43  cnf(3874,plain,
% 117.40/117.43     (~E(f2(f2(a7,a7),f2(a7,a7)),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[3844,3733,3366,3638,20,21,11,8,7,10,6,5,9,4,2,12])).
% 117.40/117.43  cnf(3882,plain,
% 117.40/117.43     (~E(f4(f2(a7,a6),f2(a7,a6)),f2(a7,a6))),
% 117.40/117.43     inference(scs_inference,[],[3730,3844,3848,3609,3458,3733,3847,3366,3766,3778,3638,3553,990,1001,15,20,21,11,8,7,10,6,5,9,4,2,12,3,14,13,40,33])).
% 117.40/117.43  cnf(3905,plain,
% 117.40/117.43     (~E(f2(f3(a1,a1),f3(a1,a1)),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[3874,3679,3368,3638,20,21,11,7,8,6,10,9,5,4,2,12])).
% 117.40/117.43  cnf(3909,plain,
% 117.40/117.43     (~P2(f2(a6,a7),f4(a1,a7))),
% 117.40/117.43     inference(scs_inference,[],[3809,3874,3358,3415,3679,3368,3603,3448,3638,20,21,11,7,8,6,10,9,5,4,2,12,3,14,13])).
% 117.40/117.43  cnf(3922,plain,
% 117.40/117.43     (P2(f2(a7,a6),f4(f2(a7,a6),f2(a7,a6)))),
% 117.40/117.43     inference(scs_inference,[],[3809,3874,3358,3568,3415,3679,3628,3527,3368,3603,2016,3585,3421,937,3599,3448,3476,3638,3467,3553,3481,802,15,20,21,11,7,8,6,10,9,5,4,2,12,3,14,13,35,37,36,40,48,28,47])).
% 117.40/117.43  cnf(3939,plain,
% 117.40/117.43     (~E(f5(f4(a6,a6),f2(a6,a6)),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[3905,3336,3404,3638,20,21,11,8,5,10,7,6,9,4,2,12])).
% 117.40/117.43  cnf(3940,plain,
% 117.40/117.43     (~E(f4(a6,f5(a1,a1)),f4(a6,a6))),
% 117.40/117.43     inference(scs_inference,[],[3242,3905,3336,3404,3578,3638,20,21,11,8,5,10,7,6,9,4,2,12,3])).
% 117.40/117.43  cnf(3942,plain,
% 117.40/117.43     (~P2(f4(f2(a7,a6),a1),f2(f2(a7,a6),a6))),
% 117.40/117.43     inference(scs_inference,[],[3242,3905,3615,3336,3404,3847,3578,3638,20,21,11,8,5,10,7,6,9,4,2,12,3,13])).
% 117.40/117.43  cnf(3944,plain,
% 117.40/117.43     (P1(f5(f4(f2(a7,a6),f2(a7,a6)),f2(a7,a6)))),
% 117.40/117.43     inference(scs_inference,[],[3242,3905,3615,3739,3336,3922,3404,3628,3847,3578,3638,3553,20,21,11,8,5,10,7,6,9,4,2,12,3,13,14,48])).
% 117.40/117.43  cnf(3948,plain,
% 117.40/117.43     (~E(f4(a1,a1),f4(f2(a6,a6),a1))),
% 117.40/117.43     inference(scs_inference,[],[3242,3905,3615,3739,3336,3922,3404,3425,3628,3847,3578,3638,3553,3379,15,20,21,11,8,5,10,7,6,9,4,2,12,3,13,14,48,35,37])).
% 117.40/117.43  cnf(3953,plain,
% 117.40/117.43     (P2(f2(a6,a6),f4(f2(a6,a6),f2(a6,a6)))),
% 117.40/117.43     inference(scs_inference,[],[3242,3905,3615,3739,3797,3336,3423,3922,3404,3425,3628,3847,3578,3498,3638,3553,3465,3379,15,17,20,21,11,8,5,10,7,6,9,4,2,12,3,13,14,48,35,37,40,47])).
% 117.40/117.43  cnf(3959,plain,
% 117.40/117.43     (E(f2(a6,a6),f5(f4(f2(a6,a6),f2(a6,a6)),f2(a6,a6)))),
% 117.40/117.43     inference(scs_inference,[],[3242,3905,3615,3739,3797,3336,3423,3922,3404,3425,3628,3847,3578,3392,3382,3498,3170,3638,3284,3553,3465,3379,16,15,17,20,21,11,8,5,10,7,6,9,4,2,12,3,13,14,48,35,37,40,47,28,34,54])).
% 117.40/117.43  cnf(3976,plain,
% 117.40/117.43     (~E(f2(f2(a7,a6),f2(a7,a6)),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[3939,3630,3408,3638,20,21,5,11,8,7,9,10,6,4,2,12])).
% 117.40/117.43  cnf(3978,plain,
% 117.40/117.43     (~P2(f2(a6,f4(a1,a7)),f4(a1,a7))),
% 117.40/117.43     inference(scs_inference,[],[3909,3939,3299,3803,3630,3408,3338,3638,20,21,5,11,8,7,9,10,6,4,2,12,3,13])).
% 117.40/117.43  cnf(3980,plain,
% 117.40/117.43     (~P2(f2(a6,a7),f4(f2(a6,a1),a7))),
% 117.40/117.43     inference(scs_inference,[],[3909,3939,3299,3456,3803,3630,3408,3338,3638,20,21,5,11,8,7,9,10,6,4,2,12,3,13,14])).
% 117.40/117.43  cnf(4006,plain,
% 117.40/117.43     (~E(f5(a1,f2(a1,a1)),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[3976,2919,3513,3638,20,21,8,11,5,9,7,6,10,4,2,12])).
% 117.40/117.43  cnf(4007,plain,
% 117.40/117.43     (~E(f4(f5(a1,a1),a6),f4(a6,a6))),
% 117.40/117.43     inference(scs_inference,[],[3378,3976,3576,2919,3513,3638,20,21,8,11,5,9,7,6,10,4,2,12,3])).
% 117.40/117.43  cnf(4010,plain,
% 117.40/117.43     (~P2(f2(a6,a7),f4(a1,f2(a7,a6)))),
% 117.40/117.43     inference(scs_inference,[],[3378,3976,3613,3576,2919,3513,3685,3471,3638,20,21,8,11,5,9,7,6,10,4,2,12,3,13,14])).
% 117.40/117.43  cnf(4037,plain,
% 117.40/117.43     (~P2(f4(a1,a7),f2(a7,a6))),
% 117.40/117.43     inference(scs_inference,[],[3810,4006,3483,3801,3515,3381,3318,3711,3402,3638,20,21,5,11,8,7,9,6,10,4,2,12,3,13,14])).
% 117.40/117.43  cnf(4038,plain,
% 117.40/117.43     (P1(f3(f2(a1,f4(a1,a1)),f4(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[3810,4006,3483,3801,3515,3381,3318,995,3711,3402,3638,991,94,20,21,5,11,8,7,9,6,10,4,2,12,3,13,14,35])).
% 117.40/117.43  cnf(4065,plain,
% 117.40/117.43     (P1(f5(f4(f2(a6,a6),f2(a6,a6)),f2(a6,a6)))),
% 117.40/117.43     inference(scs_inference,[],[3677,3882,3308,3524,3566,3487,3248,1018,3953,3766,3423,3638,3379,20,21,8,5,11,9,6,7,10,4,2,12,3,13,14,48])).
% 117.40/117.43  cnf(4093,plain,
% 117.40/117.43     (~P2(f4(a1,f4(a7,a1)),f2(a7,a6))),
% 117.40/117.43     inference(scs_inference,[],[4037,3507,3774,3621,3570,3779,3855,3595,3638,20,21,5,11,8,7,9,6,10,4,2,12,3,13])).
% 117.40/117.43  cnf(4095,plain,
% 117.40/117.43     (~P2(f4(a1,a7),f2(a7,f4(a6,a1)))),
% 117.40/117.43     inference(scs_inference,[],[4037,3507,3774,3376,3621,3570,3779,3855,3595,3638,20,21,5,11,8,7,9,6,10,4,2,12,3,13,14])).
% 117.40/117.43  cnf(4099,plain,
% 117.40/117.43     (P1(f3(f2(a1,f4(a1,a1)),f2(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[4037,3507,3774,3376,3621,3570,3779,3855,1000,801,3595,3638,1001,780,94,20,21,5,11,8,7,9,6,10,4,2,12,3,13,14,48,35])).
% 117.40/117.43  cnf(4122,plain,
% 117.40/117.43     (~E(f4(a7,a1),f2(f5(a6,a6),f5(a6,a6)))),
% 117.40/117.43     inference(scs_inference,[],[3735,3661,971,20,21,8,11,5,7,6,9,10,4,2])).
% 117.40/117.43  cnf(4157,plain,
% 117.40/117.43     (~P2(f4(a7,a1),f2(a6,a7))),
% 117.40/117.43     inference(scs_inference,[],[3634,3657,3632,3460,3575,3667,4065,3173,3448,3638,20,21,5,8,11,7,6,9,10,4,2,12,3,13,14])).
% 117.40/117.43  cnf(4160,plain,
% 117.40/117.43     (~E(f4(a1,a1),f4(a1,f2(a6,a6)))),
% 117.40/117.43     inference(scs_inference,[],[3634,3657,3632,3460,3575,3667,4065,3173,3326,3425,3318,3448,3638,3379,3245,15,20,21,5,8,11,7,6,9,10,4,2,12,3,13,14,35,36])).
% 117.40/117.43  cnf(4185,plain,
% 117.40/117.43     (E(f2(f4(a1,a7),x41851),f2(a7,x41851))),
% 117.40/117.43     inference(rename_variables,[],[3802])).
% 117.40/117.43  cnf(4188,plain,
% 117.40/117.43     (P1(f3(f5(f2(a1,a1),f2(a1,a6)),f2(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[3303,4093,3807,3940,3802,4185,3611,4038,912,786,3847,825,3638,802,20,21,11,7,5,8,6,9,10,4,2,12,3,13,14,35])).
% 117.40/117.43  cnf(4211,plain,
% 117.40/117.43     (~P2(f4(f4(a1,a7),a1),f2(a6,a7))),
% 117.40/117.43     inference(scs_inference,[],[4157,3362,4007,3804,3617,4188,3603,3316,3638,20,21,5,11,8,7,6,10,9,4,2,12,3,13])).
% 117.40/117.43  cnf(4215,plain,
% 117.40/117.43     (P1(f5(f4(f4(a7,a7),f4(a7,a7)),f4(a7,a7)))),
% 117.40/117.43     inference(scs_inference,[],[4157,3362,4007,3804,3626,3617,4188,3603,3316,3694,3528,3465,3638,20,21,5,11,8,7,6,10,9,4,2,12,3,13,14,48])).
% 117.40/117.43  cnf(4234,plain,
% 117.40/117.43     (~E(f4(a1,f2(a6,a6)),f4(a1,a1))),
% 117.40/117.43     inference(scs_inference,[],[4160,3503,846,20,21,8,5,7,11,6,9,10,4,2])).
% 117.40/117.43  cnf(4238,plain,
% 117.40/117.43     (~P2(a7,f4(f4(a7,a1),a1))),
% 117.40/117.43     inference(scs_inference,[],[3622,4122,4160,4215,3635,3503,3578,846,3638,20,21,8,5,7,11,6,9,10,4,2,12,3,14])).
% 117.40/117.43  cnf(4263,plain,
% 117.40/117.43     (~E(f5(f2(a1,a1),f2(a1,a1)),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[3646,993,823,20,21,8,7,5,11,6,10,9,4,2])).
% 117.40/117.43  cnf(4270,plain,
% 117.40/117.43     (P1(f3(f5(f4(a7,a7),a7),f4(a7,a7)))),
% 117.40/117.43     inference(scs_inference,[],[3410,4211,3646,3959,4099,3107,993,3485,3313,823,2223,3465,3638,20,21,8,7,5,11,6,10,9,4,2,12,3,14,13,35])).
% 117.40/117.43  cnf(4293,plain,
% 117.40/117.43     (~E(f2(a1,f4(a1,a1)),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[4263,3948,4270,1263,2906,3421,3638,20,21,8,7,11,5,6,10,9,4,2,12,3])).
% 117.40/117.43  cnf(4295,plain,
% 117.40/117.43     (E(f2(f4(a7,a1),x42951),f2(a7,x42951))),
% 117.40/117.43     inference(rename_variables,[],[3624])).
% 117.40/117.43  cnf(4296,plain,
% 117.40/117.43     (~P2(f2(f4(a7,a1),a6),f2(a7,a6))),
% 117.40/117.43     inference(scs_inference,[],[4263,3624,4295,3948,4095,4270,1263,2906,3778,3421,3638,20,21,8,7,11,5,6,10,9,4,2,12,3,14,13])).
% 117.40/117.43  cnf(4322,plain,
% 117.40/117.43     (P1(f3(a6,f4(a6,a6)))),
% 117.40/117.43     inference(scs_inference,[],[4293,3663,4296,4010,3580,3944,3106,3288,2928,3291,3282,3638,3245,16,20,21,8,7,5,11,10,6,9,4,2,12,3,14,13,35])).
% 117.40/117.43  cnf(4342,plain,
% 117.40/117.43     (~E(f3(a6,f4(a6,a6)),f4(a7,a1))),
% 117.40/117.43     inference(scs_inference,[],[4322,3775,3297,2897,3638,20,21,8,7,5,9,6,11,10,4,2,12])).
% 117.40/117.43  cnf(4343,plain,
% 117.40/117.43     (~E(f2(a6,a6),f4(a1,a1))),
% 117.40/117.43     inference(scs_inference,[],[4234,3406,4322,3775,3297,2897,3638,20,21,8,7,5,9,6,11,10,4,2,12,3])).
% 117.40/117.43  cnf(4352,plain,
% 117.40/117.43     (P1(f5(f4(f3(a1,a1),f3(a1,a1)),f3(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[4234,3406,4322,3775,3653,3133,2913,3297,2897,3789,3953,3681,3599,823,3170,3539,3638,16,15,20,21,8,7,5,9,6,11,10,4,2,12,3,14,13,26,27,35,48])).
% 117.40/117.43  cnf(4364,plain,
% 117.40/117.43     (E(f4(x43641,f2(a1,a1)),f4(x43641,a1))),
% 117.40/117.43     inference(scs_inference,[],[2898,3585,20,21,7])).
% 117.40/117.43  cnf(4372,plain,
% 117.40/117.43     (~E(f4(a1,a1),f2(a6,a6))),
% 117.40/117.43     inference(scs_inference,[],[4343,2898,3585,20,21,7,8,9,5,6,11,10,4,2])).
% 117.40/117.43  cnf(4379,plain,
% 117.40/117.43     (P1(f5(f2(a1,f4(a1,a1)),f2(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[4343,3509,3978,3980,4352,3377,3801,2917,2898,3711,3585,3638,796,94,20,21,7,8,9,5,6,11,10,4,2,12,3,14,13,48])).
% 117.40/117.43  cnf(4408,plain,
% 117.40/117.43     (~P2(a7,f4(f4(a7,a1),f2(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[4372,4342,4364,4238,4379,3770,3226,3537,2223,3638,20,21,7,8,9,5,6,10,11,4,2,12,3,14])).
% 117.40/117.43  cnf(4409,plain,
% 117.40/117.43     (E(f4(x44091,f2(a1,a1)),f4(x44091,a1))),
% 117.40/117.43     inference(rename_variables,[],[4364])).
% 117.40/117.43  cnf(4412,plain,
% 117.40/117.43     (P1(f3(a7,f4(a7,a7)))),
% 117.40/117.43     inference(scs_inference,[],[4372,4342,4364,4409,4238,4379,3942,3770,3226,3537,2223,3498,3465,3638,17,20,21,7,8,9,5,6,10,11,4,2,12,3,14,13,35])).
% 117.40/117.43  cnf(4443,plain,
% 117.40/117.43     (~E(f4(a7,a7),f4(f4(a7,a1),f2(a1,a1)))),
% 117.40/117.43     inference(scs_inference,[],[3517,4412,4408,3555,2910,3711,3498,3638,20,21,7,8,6,9,10,11,5,4,2,12,3,14])).
% 117.40/117.43  cnf(4495,plain,
% 117.40/117.43     (~E(f4(f4(a7,a1),f2(a1,a1)),f4(a7,a7))),
% 117.40/117.43     inference(scs_inference,[],[4443,2897,3382,3402,20,21,7,8,9,6,10,11,5,4,2])).
% 117.40/117.43  cnf(4521,plain,
% 117.40/117.43     (~E(f4(a7,f2(a1,a1)),f4(a7,a7))),
% 117.40/117.43     inference(scs_inference,[],[4495,3396,842,3622,3537,3528,3448,3638,20,21,7,8,10,11,9,6,5,4,2,12,3])).
% 117.40/117.43  cnf(4998,plain,
% 117.40/117.43     (E(f4(x49981,f4(a1,a1)),f4(x49981,a1))),
% 117.40/117.43     inference(rename_variables,[],[3523])).
% 117.40/117.43  cnf(5007,plain,
% 117.40/117.43     ($false),
% 117.40/117.43     inference(scs_inference,[],[17,15,3638,524,1039,3402,3476,93,3480,3627,4521,4007,3522,3523,4998,3502,2,6,7,3499,529,1024,1066,13,14,3,12,31]),
% 117.40/117.43     ['proof']).
% 117.40/117.43  % SZS output end Proof
% 117.40/117.43  % Total time :116.760000s
%------------------------------------------------------------------------------