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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : NUM423+3 : 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 : n029.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 12:24:11 EDT 2024

% Result   : Theorem 117.88s 117.93s
% Output   : CNFRefutation 117.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem    : NUM423+3 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Jun 22 21:04:09 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.22/0.60  start to proof:theBenchmark
% 117.88/117.92  %-------------------------------------------
% 117.88/117.92  % File        :CSE---1.7
% 117.88/117.92  % Problem     :theBenchmark
% 117.88/117.92  % Transform   :cnf
% 117.88/117.92  % Format      :tptp:raw
% 117.88/117.92  % Command     :java -jar mcs_scs.jar %d %s
% 117.88/117.92  
% 117.88/117.92  % Result      :Theorem 117.260000s
% 117.88/117.92  % Output      :CNFRefutation 117.260000s
% 117.88/117.92  %-------------------------------------------
% 117.88/117.92  %------------------------------------------------------------------------------
% 117.88/117.92  % File     : NUM423+3 : TPTP v8.2.0. Released v4.0.0.
% 117.88/117.92  % Domain   : Number Theory
% 117.88/117.92  % Problem  : Fuerstenberg's infinitude of primes 03, 02 expansion
% 117.88/117.92  % Version  : Especial.
% 117.88/117.92  % English  :
% 117.88/117.92  
% 117.88/117.92  % Refs     : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 117.88/117.92  %          : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 117.88/117.92  % Source   : [Pas08]
% 117.88/117.92  % Names    : fuerst_03.02 [Pas08]
% 117.88/117.92  
% 117.88/117.92  % Status   : Theorem
% 117.88/117.92  % Rating   : 0.08 v8.2.0, 0.06 v8.1.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 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, 0.10 v5.1.0, 0.14 v5.0.0, 0.25 v4.1.0, 0.35 v4.0.1, 0.61 v4.0.0
% 117.88/117.92  % Syntax   : Number of formulae    :   21 (   2 unt;   2 def)
% 117.88/117.92  %            Number of atoms       :   70 (  24 equ)
% 117.88/117.92  %            Maximal formula atoms :    6 (   3 avg)
% 117.88/117.92  %            Number of connectives :   52 (   3   ~;   3   |;  26   &)
% 117.88/117.92  %                                         (   2 <=>;  18  =>;   0  <=;   0 <~>)
% 117.88/117.92  %            Maximal formula depth :    9 (   5 avg)
% 117.88/117.92  %            Maximal term depth    :    3 (   1 avg)
% 117.88/117.92  %            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
% 117.88/117.92  %            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
% 117.88/117.92  %            Number of variables   :   33 (  31   !;   2   ?)
% 117.88/117.93  % SPC      : FOF_THM_RFO_SEQ
% 117.88/117.93  
% 117.88/117.93  % Comments : Problem generated by the SAD system [VLP07]
% 117.88/117.93  %------------------------------------------------------------------------------
% 117.88/117.93  fof(mIntegers,axiom,
% 117.88/117.93      ! [W0] :
% 117.88/117.93        ( aInteger0(W0)
% 117.88/117.93       => $true ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mIntZero,axiom,
% 117.88/117.93      aInteger0(sz00) ).
% 117.88/117.93  
% 117.88/117.93  fof(mIntOne,axiom,
% 117.88/117.93      aInteger0(sz10) ).
% 117.88/117.93  
% 117.88/117.93  fof(mIntNeg,axiom,
% 117.88/117.93      ! [W0] :
% 117.88/117.93        ( aInteger0(W0)
% 117.88/117.93       => aInteger0(smndt0(W0)) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mIntPlus,axiom,
% 117.88/117.93      ! [W0,W1] :
% 117.88/117.93        ( ( aInteger0(W0)
% 117.88/117.93          & aInteger0(W1) )
% 117.88/117.93       => aInteger0(sdtpldt0(W0,W1)) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mIntMult,axiom,
% 117.88/117.93      ! [W0,W1] :
% 117.88/117.93        ( ( aInteger0(W0)
% 117.88/117.93          & aInteger0(W1) )
% 117.88/117.93       => aInteger0(sdtasdt0(W0,W1)) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mAddAsso,axiom,
% 117.88/117.93      ! [W0,W1,W2] :
% 117.88/117.93        ( ( aInteger0(W0)
% 117.88/117.93          & aInteger0(W1)
% 117.88/117.93          & aInteger0(W2) )
% 117.88/117.93       => sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mAddComm,axiom,
% 117.88/117.93      ! [W0,W1] :
% 117.88/117.93        ( ( aInteger0(W0)
% 117.88/117.93          & aInteger0(W1) )
% 117.88/117.93       => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mAddZero,axiom,
% 117.88/117.93      ! [W0] :
% 117.88/117.93        ( aInteger0(W0)
% 117.88/117.93       => ( sdtpldt0(W0,sz00) = W0
% 117.88/117.93          & W0 = sdtpldt0(sz00,W0) ) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mAddNeg,axiom,
% 117.88/117.93      ! [W0] :
% 117.88/117.93        ( aInteger0(W0)
% 117.88/117.93       => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 117.88/117.93          & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mMulAsso,axiom,
% 117.88/117.93      ! [W0,W1,W2] :
% 117.88/117.93        ( ( aInteger0(W0)
% 117.88/117.93          & aInteger0(W1)
% 117.88/117.93          & aInteger0(W2) )
% 117.88/117.93       => sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mMulComm,axiom,
% 117.88/117.93      ! [W0,W1] :
% 117.88/117.93        ( ( aInteger0(W0)
% 117.88/117.93          & aInteger0(W1) )
% 117.88/117.93       => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mMulOne,axiom,
% 117.88/117.93      ! [W0] :
% 117.88/117.93        ( aInteger0(W0)
% 117.88/117.93       => ( sdtasdt0(W0,sz10) = W0
% 117.88/117.93          & W0 = sdtasdt0(sz10,W0) ) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mDistrib,axiom,
% 117.88/117.93      ! [W0,W1,W2] :
% 117.88/117.93        ( ( aInteger0(W0)
% 117.88/117.93          & aInteger0(W1)
% 117.88/117.93          & aInteger0(W2) )
% 117.88/117.93       => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 117.88/117.93          & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mMulZero,axiom,
% 117.88/117.93      ! [W0] :
% 117.88/117.93        ( aInteger0(W0)
% 117.88/117.93       => ( sdtasdt0(W0,sz00) = sz00
% 117.88/117.93          & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mMulMinOne,axiom,
% 117.88/117.93      ! [W0] :
% 117.88/117.93        ( aInteger0(W0)
% 117.88/117.93       => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 117.88/117.93          & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mZeroDiv,axiom,
% 117.88/117.93      ! [W0,W1] :
% 117.88/117.93        ( ( aInteger0(W0)
% 117.88/117.93          & aInteger0(W1) )
% 117.88/117.93       => ( sdtasdt0(W0,W1) = sz00
% 117.88/117.93         => ( W0 = sz00
% 117.88/117.93            | W1 = sz00 ) ) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mDivisor,definition,
% 117.88/117.93      ! [W0] :
% 117.88/117.93        ( aInteger0(W0)
% 117.88/117.93       => ! [W1] :
% 117.88/117.93            ( aDivisorOf0(W1,W0)
% 117.88/117.93          <=> ( aInteger0(W1)
% 117.88/117.93              & W1 != sz00
% 117.88/117.93              & ? [W2] :
% 117.88/117.93                  ( aInteger0(W2)
% 117.88/117.93                  & sdtasdt0(W1,W2) = W0 ) ) ) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(mEquMod,definition,
% 117.88/117.93      ! [W0,W1,W2] :
% 117.88/117.93        ( ( aInteger0(W0)
% 117.88/117.93          & aInteger0(W1)
% 117.88/117.93          & aInteger0(W2)
% 117.88/117.93          & W2 != sz00 )
% 117.88/117.93       => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 117.88/117.93        <=> aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) ) ) ).
% 117.88/117.93  
% 117.88/117.93  fof(m__671,hypothesis,
% 117.88/117.93      ( aInteger0(xa)
% 117.88/117.93      & aInteger0(xq)
% 117.88/117.93      & xq != sz00 ) ).
% 117.88/117.93  
% 117.88/117.93  fof(m__,conjecture,
% 117.88/117.93      ( ? [W0] :
% 117.88/117.93          ( aInteger0(W0)
% 117.88/117.93          & sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xa)) )
% 117.88/117.93      | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
% 117.88/117.93      | sdteqdtlpzmzozddtrp0(xa,xa,xq) ) ).
% 117.88/117.93  
% 117.88/117.93  %------------------------------------------------------------------------------
% 117.88/117.93  %-------------------------------------------
% 117.88/117.93  % Proof found
% 117.88/117.93  % SZS status Theorem for theBenchmark
% 117.88/117.93  % SZS output start Proof
% 117.88/117.93  %ClaNum:51(EqnAxiom:16)
% 117.88/117.93  %VarNum:145(SingletonVarNum:51)
% 117.88/117.93  %MaxLitNum:6
% 117.88/117.93  %MaxfuncDepth:2
% 117.88/117.93  %SharedTerms:14
% 117.88/117.93  %goalClause: 22 23 42
% 117.88/117.93  %singleGoalClaCount:2
% 117.88/117.93  [17]P1(a1)
% 117.88/117.93  [18]P1(a6)
% 117.88/117.93  [19]P1(a7)
% 117.88/117.93  [20]P1(a8)
% 117.88/117.93  [21]~E(a1,a8)
% 117.88/117.93  [23]~P3(a7,a7,a8)
% 117.88/117.93  [22]~P2(a8,f3(a7,f2(a7)))
% 117.88/117.93  [24]~P1(x241)+P1(f2(x241))
% 117.88/117.93  [25]~P1(x251)+E(f4(a1,x251),a1)
% 117.88/117.93  [26]~P1(x261)+E(f4(x261,a1),a1)
% 117.88/117.93  [27]~P1(x271)+E(f3(a1,x271),x271)
% 117.88/117.93  [28]~P1(x281)+E(f4(a6,x281),x281)
% 117.88/117.93  [29]~P1(x291)+E(f3(x291,a1),x291)
% 117.88/117.93  [30]~P1(x301)+E(f4(x301,a6),x301)
% 117.88/117.93  [31]~P1(x311)+E(f3(f2(x311),x311),a1)
% 117.88/117.93  [32]~P1(x321)+E(f3(x321,f2(x321)),a1)
% 117.88/117.93  [33]~P1(x331)+E(f4(x331,f2(a6)),f2(x331))
% 117.88/117.93  [34]~P1(x341)+E(f4(f2(a6),x341),f2(x341))
% 117.88/117.93  [42]~P1(x421)+~E(f4(a8,x421),f3(a7,f2(a7)))
% 117.88/117.93  [35]~P2(x351,x352)+~P1(x352)+~E(x351,a1)
% 117.88/117.93  [36]~P2(x361,x362)+P1(x361)+~P1(x362)
% 117.88/117.93  [38]~P1(x382)+~P1(x381)+E(f3(x381,x382),f3(x382,x381))
% 117.88/117.93  [39]~P1(x392)+~P1(x391)+E(f4(x391,x392),f4(x392,x391))
% 117.88/117.93  [40]~P1(x402)+~P1(x401)+P1(f3(x401,x402))
% 117.88/117.93  [41]~P1(x412)+~P1(x411)+P1(f4(x411,x412))
% 117.88/117.93  [43]~P1(x431)+~P2(x432,x431)+P1(f5(x431,x432))
% 117.88/117.93  [45]~P1(x452)+~P2(x451,x452)+E(f4(x451,f5(x452,x451)),x452)
% 117.88/117.93  [46]~P1(x463)+~P1(x462)+~P1(x461)+E(f3(f3(x461,x462),x463),f3(x461,f3(x462,x463)))
% 117.88/117.93  [47]~P1(x473)+~P1(x472)+~P1(x471)+E(f4(f4(x471,x472),x473),f4(x471,f4(x472,x473)))
% 117.88/117.93  [48]~P1(x483)+~P1(x482)+~P1(x481)+E(f3(f4(x481,x482),f4(x481,x483)),f4(x481,f3(x482,x483)))
% 117.88/117.93  [49]~P1(x492)+~P1(x493)+~P1(x491)+E(f3(f4(x491,x492),f4(x493,x492)),f4(f3(x491,x493),x492))
% 117.88/117.93  [37]~P1(x371)+~P1(x372)+E(x371,a1)+E(x372,a1)+~E(f4(x372,x371),a1)
% 117.88/117.93  [44]~P1(x442)+~P1(x443)+~P1(x441)+P2(x441,x442)+E(x441,a1)+~E(f4(x441,x443),x442)
% 117.88/117.93  [50]~P1(x503)+~P1(x502)+~P1(x501)+P3(x502,x503,x501)+E(x501,a1)+~P2(x501,f3(x502,f2(x503)))
% 117.88/117.93  [51]~P1(x511)+~P1(x513)+~P1(x512)+~P3(x512,x513,x511)+E(x511,a1)+P2(x511,f3(x512,f2(x513)))
% 117.88/117.93  %EqnAxiom
% 117.88/117.93  [1]E(x11,x11)
% 117.88/117.93  [2]E(x22,x21)+~E(x21,x22)
% 117.88/117.93  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 117.88/117.93  [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 117.88/117.93  [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 117.88/117.93  [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 117.88/117.93  [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 117.88/117.93  [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 117.88/117.93  [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 117.88/117.93  [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 117.88/117.93  [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 117.88/117.93  [12]P3(x122,x123,x124)+~E(x121,x122)+~P3(x121,x123,x124)
% 117.88/117.93  [13]P3(x133,x132,x134)+~E(x131,x132)+~P3(x133,x131,x134)
% 117.88/117.93  [14]P3(x143,x144,x142)+~E(x141,x142)+~P3(x143,x144,x141)
% 117.88/117.93  [15]P2(x152,x153)+~E(x151,x152)+~P2(x151,x153)
% 117.88/117.93  [16]P2(x163,x162)+~E(x161,x162)+~P2(x163,x161)
% 117.88/117.93  
% 117.88/117.93  %-------------------------------------------
% 117.88/117.94  cnf(52,plain,
% 117.88/117.94     (~P1(x521)+~P2(a1,x521)),
% 117.88/117.94     inference(equality_inference,[],[35])).
% 117.88/117.94  cnf(53,plain,
% 117.88/117.94     (P2(x531,f4(x531,x532))+~P1(f4(x531,x532))+~P1(x532)+~P1(x531)+E(x531,a1)),
% 117.88/117.94     inference(equality_inference,[],[44])).
% 117.88/117.94  cnf(55,plain,
% 117.88/117.94     (~P2(a1,f2(a1))),
% 117.88/117.94     inference(scs_inference,[],[17,52,24])).
% 117.88/117.94  cnf(56,plain,
% 117.88/117.94     (E(a1,f4(a1,a6))),
% 117.88/117.94     inference(scs_inference,[],[18,2,25])).
% 117.88/117.94  cnf(57,plain,
% 117.88/117.94     (E(f4(a1,a6),a1)),
% 117.88/117.94     inference(scs_inference,[],[56,2])).
% 117.88/117.94  cnf(58,plain,
% 117.88/117.94     (P1(f4(a1,a6))),
% 117.88/117.94     inference(scs_inference,[],[56,17,2,11])).
% 117.88/117.94  cnf(59,plain,
% 117.88/117.94     (~P2(f4(a1,a6),a6)),
% 117.88/117.94     inference(scs_inference,[],[18,56,17,2,11,35])).
% 117.88/117.94  cnf(61,plain,
% 117.88/117.94     (E(f4(f2(a6),a1),a1)),
% 117.88/117.94     inference(scs_inference,[],[18,26,24])).
% 117.88/117.94  cnf(62,plain,
% 117.88/117.94     (E(a1,f4(f2(a6),a1))),
% 117.88/117.94     inference(scs_inference,[],[61,2])).
% 117.88/117.94  cnf(63,plain,
% 117.88/117.94     (E(f4(a1,a6),f4(f2(a6),a1))),
% 117.88/117.94     inference(scs_inference,[],[57,61,2,3])).
% 117.88/117.94  cnf(64,plain,
% 117.88/117.94     (~P2(f4(f2(a6),a1),a6)),
% 117.88/117.94     inference(scs_inference,[],[18,57,61,2,3,35])).
% 117.88/117.94  cnf(67,plain,
% 117.88/117.94     (E(f3(a1,f2(a6)),f2(a6))),
% 117.88/117.94     inference(scs_inference,[],[18,27,24])).
% 117.88/117.94  cnf(68,plain,
% 117.88/117.94     (E(f2(a6),f3(a1,f2(a6)))),
% 117.88/117.94     inference(scs_inference,[],[67,2])).
% 117.88/117.94  cnf(69,plain,
% 117.88/117.94     (~P1(f3(a1,f2(a6)))+P1(f2(a6))),
% 117.88/117.94     inference(scs_inference,[],[67,2,11])).
% 117.88/117.94  cnf(72,plain,
% 117.88/117.94     (~P1(f2(a6))+P1(f2(a6))),
% 117.88/117.94     inference(scs_inference,[],[18,17,67,2,11,36,40])).
% 117.88/117.94  cnf(75,plain,
% 117.88/117.94     (E(f4(f2(a6),a1),f4(a1,a6))),
% 117.88/117.94     inference(scs_inference,[],[63,2])).
% 117.88/117.94  cnf(76,plain,
% 117.88/117.94     (~P1(f2(a6))+P1(f3(a1,f2(a6)))),
% 117.88/117.94     inference(scs_inference,[],[68,63,2,11])).
% 117.88/117.94  cnf(82,plain,
% 117.88/117.94     (E(f4(a6,f2(a7)),f2(a7))),
% 117.88/117.94     inference(scs_inference,[],[19,28,24])).
% 117.88/117.94  cnf(83,plain,
% 117.88/117.94     (E(f2(a7),f4(a6,f2(a7)))),
% 117.88/117.94     inference(scs_inference,[],[82,2])).
% 117.88/117.94  cnf(84,plain,
% 117.88/117.94     (~P2(f4(a1,a6),a7)),
% 117.88/117.94     inference(scs_inference,[],[19,57,82,2,35])).
% 117.88/117.94  cnf(86,plain,
% 117.88/117.94     (~P1(f4(a6,f2(a7)))+P1(f2(a7))),
% 117.88/117.94     inference(scs_inference,[],[19,57,82,2,35,11])).
% 117.88/117.94  cnf(87,plain,
% 117.88/117.94     (~P1(f2(a7))+P1(f2(a7))),
% 117.88/117.94     inference(scs_inference,[],[19,57,18,82,2,35,11,41])).
% 117.88/117.94  cnf(92,plain,
% 117.88/117.94     (~P2(f4(f2(a6),a1),a7)),
% 117.88/117.94     inference(scs_inference,[],[19,61,35])).
% 117.88/117.94  cnf(94,plain,
% 117.88/117.94     (~P1(f2(a7))+P1(f4(a6,f2(a7)))),
% 117.88/117.94     inference(scs_inference,[],[19,83,61,35,11])).
% 117.88/117.94  cnf(100,plain,
% 117.88/117.94     (E(f3(f2(a8),a1),f2(a8))),
% 117.88/117.94     inference(scs_inference,[],[20,29,24])).
% 117.88/117.94  cnf(101,plain,
% 117.88/117.94     (E(f2(a8),f3(f2(a8),a1))),
% 117.88/117.94     inference(scs_inference,[],[100,2])).
% 117.88/117.94  cnf(104,plain,
% 117.88/117.94     (~P1(f3(f2(a8),a1))+P1(f2(a8))),
% 117.88/117.94     inference(scs_inference,[],[20,57,100,2,35,11])).
% 117.88/117.94  cnf(107,plain,
% 117.88/117.94     (~P1(f2(a8))+P1(f2(a8))),
% 117.88/117.94     inference(scs_inference,[],[20,57,17,100,2,35,11,36,40])).
% 117.88/117.94  cnf(112,plain,
% 117.88/117.94     (~P1(f2(a8))+P1(f3(f2(a8),a1))),
% 117.88/117.94     inference(scs_inference,[],[20,101,61,35,11])).
% 117.88/117.94  cnf(115,plain,
% 117.88/117.94     (~P2(f2(a8),a8)+P1(f3(f2(a8),a1))),
% 117.88/117.94     inference(scs_inference,[],[20,101,61,35,11,104,24,36])).
% 117.88/117.94  cnf(130,plain,
% 117.88/117.94     (~P1(f2(a6))+P1(f3(f3(a1,f2(a6)),f3(a1,f2(a6))))),
% 117.88/117.94     inference(scs_inference,[],[76,40])).
% 117.88/117.94  cnf(144,plain,
% 117.88/117.94     (~P2(a1,f3(f2(a8),a1))+~P2(f2(a8),a8)),
% 117.88/117.94     inference(scs_inference,[],[115,52])).
% 117.88/117.94  cnf(148,plain,
% 117.88/117.94     (~P2(f4(a1,a6),f3(f2(a8),a1))+~P2(f2(a8),a8)),
% 117.88/117.94     inference(scs_inference,[],[57,144,15])).
% 117.88/117.94  cnf(159,plain,
% 117.88/117.94     (~P2(f4(a1,a6),f2(a8))+~P2(f2(a8),a8)),
% 117.88/117.94     inference(scs_inference,[],[101,148,16])).
% 117.88/117.94  cnf(160,plain,
% 117.88/117.94     (~P2(f4(f2(a6),a1),f2(a8))+~P2(f2(a8),a8)),
% 117.88/117.94     inference(scs_inference,[],[75,159,15])).
% 117.88/117.94  cnf(161,plain,
% 117.88/117.94     (~P2(f4(f2(a6),a1),f3(f2(a8),a1))+~P2(f2(a8),a8)),
% 117.88/117.94     inference(scs_inference,[],[100,160,16])).
% 117.88/117.94  cnf(165,plain,
% 117.88/117.94     (~P2(f3(f2(a8),a1),a8)+~P2(f4(f2(a6),a1),f3(f2(a8),a1))),
% 117.88/117.94     inference(scs_inference,[],[100,161,15])).
% 117.88/117.94  cnf(168,plain,
% 117.88/117.94     (~P2(a1,f3(f2(a8),a1))+~P2(f3(f2(a8),a1),a8)),
% 117.88/117.94     inference(scs_inference,[],[62,165,15])).
% 117.88/117.94  cnf(169,plain,
% 117.88/117.94     (~P2(a1,f2(a8))+~P2(f3(f2(a8),a1),a8)),
% 117.88/117.94     inference(scs_inference,[],[101,168,16])).
% 117.88/117.94  cnf(170,plain,
% 117.88/117.94     (~P2(f2(a8),a8)+~P2(a1,f2(a8))),
% 117.88/117.94     inference(scs_inference,[],[101,169,15])).
% 117.88/117.94  cnf(171,plain,
% 117.88/117.94     (~P2(f2(a8),x1711)+~E(x1711,a8)+~P2(a1,f2(a8))),
% 117.88/117.94     inference(scs_inference,[],[170,16])).
% 117.88/117.94  cnf(175,plain,
% 117.88/117.94     (~P3(x1751,x1752,a8)+~E(x1751,a7)+~E(x1752,a7)),
% 117.88/117.94     inference(scs_inference,[],[23,12,13])).
% 117.88/117.94  cnf(178,plain,
% 117.88/117.94     (~P3(f2(a6),x1781,a8)+~E(f3(a1,f2(a6)),a7)+~E(x1781,a7)),
% 117.88/117.94     inference(scs_inference,[],[68,175,12])).
% 117.88/117.95  cnf(179,plain,
% 117.88/117.95     (~P2(f4(f2(a6),a1),a1)),
% 117.88/117.95     inference(scs_inference,[],[17,61,35])).
% 117.88/117.95  cnf(181,plain,
% 117.88/117.95     (~P3(a7,x1811,x1812)+~E(x1812,a8)+~E(x1811,a7)),
% 117.88/117.95     inference(scs_inference,[],[23,14,13])).
% 117.88/117.95  cnf(184,plain,
% 117.88/117.95     (~P3(a7,x1841,f2(a6))+~E(f3(a1,f2(a6)),a8)+~E(x1841,a7)),
% 117.88/117.95     inference(scs_inference,[],[68,181,14])).
% 117.88/117.95  cnf(195,plain,
% 117.88/117.95     (~P3(f2(a6),f3(a1,a7),a8)+~E(f3(a1,f2(a6)),a7)),
% 117.88/117.95     inference(scs_inference,[],[19,178,27])).
% 117.88/117.95  cnf(196,plain,
% 117.88/117.95     (~E(a7,f3(a1,f2(a6)))+~P3(f2(a6),f3(a1,a7),a8)),
% 117.88/117.95     inference(scs_inference,[],[195,2])).
% 117.88/117.95  cnf(197,plain,
% 117.88/117.95     (~E(a7,f2(a6))+~P3(f2(a6),f3(a1,a7),a8)),
% 117.88/117.95     inference(scs_inference,[],[68,196,3])).
% 117.88/117.95  cnf(198,plain,
% 117.88/117.95     (~P3(f3(a1,f2(a6)),f3(a1,a7),a8)+~E(a7,f2(a6))),
% 117.88/117.95     inference(scs_inference,[],[67,197,12])).
% 117.88/117.95  cnf(199,plain,
% 117.88/117.95     (~P3(f3(a1,f2(a6)),x1991,a8)+~E(x1991,f3(a1,a7))+~E(a7,f2(a6))),
% 117.88/117.95     inference(scs_inference,[],[198,13])).
% 117.88/117.95  cnf(235,plain,
% 117.88/117.95     (E(f3(a1,f2(a1)),f2(a1))),
% 117.88/117.95     inference(scs_inference,[],[17,24,27])).
% 117.88/117.95  cnf(236,plain,
% 117.88/117.95     (E(f2(a1),f3(a1,f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[235,2])).
% 117.88/117.95  cnf(237,plain,
% 117.88/117.95     (~P1(f3(a1,f2(a1)))+P1(f2(a1))),
% 117.88/117.95     inference(scs_inference,[],[235,2,11])).
% 117.88/117.95  cnf(239,plain,
% 117.88/117.95     (~P1(f2(a1))+P1(f3(a1,f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[236,11])).
% 117.88/117.95  cnf(279,plain,
% 117.88/117.95     (P1(f3(a1,f2(a6)))),
% 117.88/117.95     inference(scs_inference,[],[18,24,76])).
% 117.88/117.95  cnf(280,plain,
% 117.88/117.95     (P1(f2(a6))),
% 117.88/117.95     inference(scs_inference,[],[279,69])).
% 117.88/117.95  cnf(283,plain,
% 117.88/117.95     (P1(f2(a6))),
% 117.88/117.95     inference(scs_inference,[],[280,72])).
% 117.88/117.95  cnf(284,plain,
% 117.88/117.95     (P1(f3(f3(a1,f2(a6)),f3(a1,f2(a6))))),
% 117.88/117.95     inference(scs_inference,[],[280,130])).
% 117.88/117.95  cnf(290,plain,
% 117.88/117.95     (P1(f4(a6,f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[19,24,94])).
% 117.88/117.95  cnf(291,plain,
% 117.88/117.95     (P1(f2(a7))),
% 117.88/117.95     inference(scs_inference,[],[290,86])).
% 117.88/117.95  cnf(294,plain,
% 117.88/117.95     (P1(f2(a7))),
% 117.88/117.95     inference(scs_inference,[],[291,87])).
% 117.88/117.95  cnf(299,plain,
% 117.88/117.95     (P1(f3(f2(a8),a1))),
% 117.88/117.95     inference(scs_inference,[],[20,24,112])).
% 117.88/117.95  cnf(300,plain,
% 117.88/117.95     (P1(f2(a8))),
% 117.88/117.95     inference(scs_inference,[],[299,104])).
% 117.88/117.95  cnf(303,plain,
% 117.88/117.95     (P1(f2(a8))),
% 117.88/117.95     inference(scs_inference,[],[300,107])).
% 117.88/117.95  cnf(307,plain,
% 117.88/117.95     (P1(f3(a1,f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[17,24,239])).
% 117.88/117.95  cnf(308,plain,
% 117.88/117.95     (P1(f2(a1))),
% 117.88/117.95     inference(scs_inference,[],[307,237])).
% 117.88/117.95  cnf(335,plain,
% 117.88/117.95     (~P2(f4(a1,a6),f2(a6))),
% 117.88/117.95     inference(scs_inference,[],[57,280,35])).
% 117.88/117.95  cnf(356,plain,
% 117.88/117.95     (~P2(f4(a1,a6),f2(a7))),
% 117.88/117.95     inference(scs_inference,[],[57,291,35])).
% 117.88/117.95  cnf(396,plain,
% 117.88/117.95     (P1(f2(f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[235,307,24,11])).
% 117.88/117.95  cnf(415,plain,
% 117.88/117.95     (E(f3(a1,f2(f2(a7))),f2(f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[291,24,27])).
% 117.88/117.95  cnf(423,plain,
% 117.88/117.95     (E(f3(f2(f2(a6)),a1),f2(f2(a6)))),
% 117.88/117.95     inference(scs_inference,[],[280,24,29])).
% 117.88/117.95  cnf(438,plain,
% 117.88/117.95     (E(f4(f2(f2(a8)),a1),a1)),
% 117.88/117.95     inference(scs_inference,[],[300,24,26])).
% 117.88/117.95  cnf(448,plain,
% 117.88/117.95     (E(f4(f2(f2(a8)),a6),f2(f2(a8)))),
% 117.88/117.95     inference(scs_inference,[],[300,24,30])).
% 117.88/117.95  cnf(575,plain,
% 117.88/117.95     (E(f4(f2(a1),a6),f2(a1))),
% 117.88/117.95     inference(scs_inference,[],[17,24,30])).
% 117.88/117.95  cnf(577,plain,
% 117.88/117.95     (E(f3(a1,f2(a1)),f4(f2(a1),a6))),
% 117.88/117.95     inference(scs_inference,[],[235,575,2,3])).
% 117.88/117.95  cnf(578,plain,
% 117.88/117.95     (P1(f4(f2(a1),a6))),
% 117.88/117.95     inference(scs_inference,[],[308,235,575,2,3,11])).
% 117.88/117.95  cnf(581,plain,
% 117.88/117.95     (E(f3(f2(f2(a1)),f2(a1)),a1)),
% 117.88/117.95     inference(scs_inference,[],[17,24,31])).
% 117.88/117.95  cnf(585,plain,
% 117.88/117.95     (E(x5851,a1)+~E(x5851,f3(f2(f2(a1)),f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[17,577,581,2,35,3])).
% 117.88/117.95  cnf(587,plain,
% 117.88/117.95     (E(f3(f2(a1),f2(f2(a1))),a1)),
% 117.88/117.95     inference(scs_inference,[],[17,24,32])).
% 117.88/117.95  cnf(588,plain,
% 117.88/117.95     (E(a1,f3(f2(f2(a1)),f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[581,2])).
% 117.88/117.95  cnf(589,plain,
% 117.88/117.95     (E(f4(a1,a6),f3(f2(f2(a1)),f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[57,581,2,3])).
% 117.88/117.95  cnf(593,plain,
% 117.88/117.95     (E(f4(f2(a1),f2(a6)),f2(f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[17,24,33])).
% 117.88/117.95  cnf(594,plain,
% 117.88/117.95     (E(f2(f2(a1)),f4(f2(a1),f2(a6)))),
% 117.88/117.95     inference(scs_inference,[],[593,2])).
% 117.88/117.95  cnf(595,plain,
% 117.88/117.95     (E(f4(f2(a6),a1),f3(f2(f2(a1)),f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[75,593,589,2,3])).
% 117.88/117.95  cnf(599,plain,
% 117.88/117.95     (E(f4(f2(a6),f2(a1)),f2(f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[17,24,34])).
% 117.88/117.95  cnf(601,plain,
% 117.88/117.95     (E(f4(f2(a6),f2(a1)),f4(f2(a1),f2(a6)))),
% 117.88/117.95     inference(scs_inference,[],[594,595,599,2,3])).
% 117.88/117.95  cnf(607,plain,
% 117.88/117.95     (E(x6071,a1)+~E(x6071,f3(f2(a1),f2(f2(a1))))),
% 117.88/117.95     inference(scs_inference,[],[396,599,587,2,11,3])).
% 117.88/117.95  cnf(613,plain,
% 117.88/117.95     (E(f4(a1,f2(a1)),a1)),
% 117.88/117.95     inference(scs_inference,[],[17,24,25])).
% 117.88/117.95  cnf(620,plain,
% 117.88/117.95     (E(x6201,a1)+~E(x6201,f4(a1,f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[601,613,2,3])).
% 117.88/117.95  cnf(621,plain,
% 117.88/117.95     (~P2(x6211,a1)+~E(x6211,f4(a1,f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[17,601,613,2,3,35])).
% 117.88/117.95  cnf(627,plain,
% 117.88/117.95     (E(a1,f4(a1,f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[613,2])).
% 117.88/117.95  cnf(629,plain,
% 117.88/117.95     (P1(f4(a1,f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[17,57,613,2,3,11])).
% 117.88/117.95  cnf(643,plain,
% 117.88/117.95     (E(f4(a6,f2(a6)),f2(a6))),
% 117.88/117.95     inference(scs_inference,[],[18,24,28])).
% 117.88/117.95  cnf(645,plain,
% 117.88/117.95     (E(f3(a1,f2(a6)),f4(a6,f2(a6)))),
% 117.88/117.95     inference(scs_inference,[],[67,643,2,3])).
% 117.88/117.95  cnf(649,plain,
% 117.88/117.95     (E(f3(f2(a6),a1),f2(a6))),
% 117.88/117.95     inference(scs_inference,[],[18,24,29])).
% 117.88/117.95  cnf(653,plain,
% 117.88/117.95     (E(x6531,f2(a6))+~E(x6531,f3(f2(a6),a1))),
% 117.88/117.95     inference(scs_inference,[],[18,438,645,649,2,35,3])).
% 117.88/117.95  cnf(662,plain,
% 117.88/117.95     (P1(f3(f2(a6),a1))),
% 117.88/117.95     inference(scs_inference,[],[283,67,649,2,3,11])).
% 117.88/117.95  cnf(838,plain,
% 117.88/117.95     (E(f4(a1,f2(f4(a1,a6))),a1)),
% 117.88/117.95     inference(scs_inference,[],[58,24,25])).
% 117.88/117.95  cnf(839,plain,
% 117.88/117.95     (E(a1,f4(a1,f2(f4(a1,a6))))),
% 117.88/117.95     inference(scs_inference,[],[838,2])).
% 117.88/117.95  cnf(840,plain,
% 117.88/117.95     (E(f4(a1,a6),f4(a1,f2(f4(a1,a6))))),
% 117.88/117.95     inference(scs_inference,[],[57,838,2,3])).
% 117.88/117.95  cnf(844,plain,
% 117.88/117.95     (E(f4(f2(f4(a1,a6)),a1),a1)),
% 117.88/117.95     inference(scs_inference,[],[58,24,26])).
% 117.88/117.95  cnf(848,plain,
% 117.88/117.95     (E(x8481,a1)+~E(x8481,f4(f2(f4(a1,a6)),a1))),
% 117.88/117.95     inference(scs_inference,[],[58,840,844,2,35,3])).
% 117.88/117.95  cnf(875,plain,
% 117.88/117.95     (P1(f2(f2(a6)))),
% 117.88/117.95     inference(scs_inference,[],[67,279,24,11])).
% 117.88/117.95  cnf(890,plain,
% 117.88/117.95     (P1(f2(f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[82,290,24,11])).
% 117.88/117.95  cnf(906,plain,
% 117.88/117.95     (P1(f2(f2(a8)))),
% 117.88/117.95     inference(scs_inference,[],[100,299,24,11])).
% 117.88/117.95  cnf(907,plain,
% 117.88/117.95     (~P2(f4(a1,a6),f2(f2(a8)))),
% 117.88/117.95     inference(scs_inference,[],[57,906,35])).
% 117.88/117.95  cnf(1115,plain,
% 117.88/117.95     (E(f4(a1,f2(f2(a1))),a1)),
% 117.88/117.95     inference(scs_inference,[],[308,24,25])).
% 117.88/117.95  cnf(1117,plain,
% 117.88/117.95     (E(f4(a1,a6),f4(a1,f2(f2(a1))))),
% 117.88/117.95     inference(scs_inference,[],[57,1115,2,3])).
% 117.88/117.95  cnf(1121,plain,
% 117.88/117.95     (E(f4(f2(f2(a1)),a1),a1)),
% 117.88/117.95     inference(scs_inference,[],[308,24,26])).
% 117.88/117.95  cnf(1125,plain,
% 117.88/117.95     (E(x11251,a1)+~E(x11251,f4(f2(f2(a1)),a1))),
% 117.88/117.95     inference(scs_inference,[],[308,613,1117,1121,2,35,3])).
% 117.88/117.95  cnf(1254,plain,
% 117.88/117.95     (E(f4(a1,f2(a1)),f3(f2(f2(a1)),f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[581,627,3,2])).
% 117.88/117.95  cnf(1529,plain,
% 117.88/117.95     (E(f3(f2(a1),a1),f2(a1))),
% 117.88/117.95     inference(scs_inference,[],[17,24,29])).
% 117.88/117.95  cnf(1532,plain,
% 117.88/117.95     (E(f3(a1,f2(a1)),f3(f2(a1),a1))),
% 117.88/117.95     inference(scs_inference,[],[308,235,1529,2,11,3])).
% 117.88/117.95  cnf(1535,plain,
% 117.88/117.95     (E(f4(f2(a1),a1),a1)),
% 117.88/117.95     inference(scs_inference,[],[17,24,26])).
% 117.88/117.95  cnf(1539,plain,
% 117.88/117.95     (E(x15391,a1)+~E(x15391,f4(f2(a1),a1))),
% 117.88/117.95     inference(scs_inference,[],[17,844,1532,1535,2,35,3])).
% 117.88/117.95  cnf(1542,plain,
% 117.88/117.95     (E(a1,f4(f2(a1),a1))),
% 117.88/117.95     inference(scs_inference,[],[1535,2])).
% 117.88/117.95  cnf(1543,plain,
% 117.88/117.95     (P1(f4(f2(a1),a1))),
% 117.88/117.95     inference(scs_inference,[],[17,1535,2,11])).
% 117.88/117.95  cnf(1544,plain,
% 117.88/117.95     (E(f4(a1,a6),f4(f2(a1),a1))),
% 117.88/117.95     inference(scs_inference,[],[17,57,1535,2,11,3])).
% 117.88/117.95  cnf(1563,plain,
% 117.88/117.95     (E(f4(f2(a1),a1),f4(a1,a6))),
% 117.88/117.95     inference(scs_inference,[],[1544,2])).
% 117.88/117.95  cnf(1567,plain,
% 117.88/117.95     (E(f4(f2(a6),a6),f2(a6))),
% 117.88/117.95     inference(scs_inference,[],[18,24,30])).
% 117.88/117.95  cnf(1569,plain,
% 117.88/117.95     (P1(f4(f2(a6),a6))),
% 117.88/117.95     inference(scs_inference,[],[283,1567,2,11])).
% 117.88/117.95  cnf(1573,plain,
% 117.88/117.95     (E(f3(f2(a6),f2(f2(a6))),a1)),
% 117.88/117.95     inference(scs_inference,[],[18,24,32])).
% 117.88/117.95  cnf(1613,plain,
% 117.88/117.95     (P1(f2(f4(a7,a7)))),
% 117.88/117.95     inference(scs_inference,[],[19,24,41])).
% 117.88/117.95  cnf(1616,plain,
% 117.88/117.95     (E(f4(a1,f2(a7)),a1)),
% 117.88/117.95     inference(scs_inference,[],[19,24,25])).
% 117.88/117.95  cnf(1617,plain,
% 117.88/117.95     (E(a1,f4(a1,f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[1616,2])).
% 117.88/117.95  cnf(1618,plain,
% 117.88/117.95     (P1(f4(a1,f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[17,1616,2,11])).
% 117.88/117.95  cnf(1622,plain,
% 117.88/117.95     (E(f4(f2(a7),a1),a1)),
% 117.88/117.95     inference(scs_inference,[],[19,24,26])).
% 117.88/117.95  cnf(1627,plain,
% 117.88/117.95     (E(f3(a1,f2(a7)),f2(a7))),
% 117.88/117.95     inference(scs_inference,[],[19,24,27])).
% 117.88/117.95  cnf(1628,plain,
% 117.88/117.95     (E(a1,f4(f2(a7),a1))),
% 117.88/117.95     inference(scs_inference,[],[1622,2])).
% 117.88/117.95  cnf(1629,plain,
% 117.88/117.95     (P1(f4(f2(a7),a1))),
% 117.88/117.95     inference(scs_inference,[],[17,1622,2,11])).
% 117.88/117.95  cnf(1630,plain,
% 117.88/117.95     (E(f4(a1,a6),f4(f2(a7),a1))),
% 117.88/117.95     inference(scs_inference,[],[57,17,1622,2,11,3])).
% 117.88/117.95  cnf(1633,plain,
% 117.88/117.95     (E(f3(f2(a7),a1),f2(a7))),
% 117.88/117.95     inference(scs_inference,[],[19,24,29])).
% 117.88/117.95  cnf(1638,plain,
% 117.88/117.95     (E(f4(f2(a7),a6),f2(a7))),
% 117.88/117.95     inference(scs_inference,[],[19,24,30])).
% 117.88/117.95  cnf(1639,plain,
% 117.88/117.95     (E(f2(a7),f3(a1,f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[1627,2])).
% 117.88/117.95  cnf(1641,plain,
% 117.88/117.95     (E(f4(a6,f2(a7)),f3(a1,f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[294,82,1627,2,11,3])).
% 117.88/117.95  cnf(1643,plain,
% 117.88/117.95     (E(f2(a7),f3(f2(a7),a1))),
% 117.88/117.95     inference(scs_inference,[],[1633,2])).
% 117.88/117.95  cnf(1648,plain,
% 117.88/117.95     (E(f3(f2(a7),f2(f2(a7))),a1)),
% 117.88/117.95     inference(scs_inference,[],[19,24,32])).
% 117.88/117.95  cnf(1652,plain,
% 117.88/117.95     (E(x16521,f2(a7))+~E(x16521,f4(f2(a7),a6))),
% 117.88/117.95     inference(scs_inference,[],[19,1641,1638,1648,2,35,3])).
% 117.88/117.95  cnf(1654,plain,
% 117.88/117.95     (E(f4(f2(a7),f2(a6)),f2(f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[19,24,33])).
% 117.88/117.95  cnf(1658,plain,
% 117.88/117.95     (E(f4(f2(a6),f2(a7)),f2(f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[19,24,34])).
% 117.88/117.95  cnf(1662,plain,
% 117.88/117.95     (~E(f4(a8,f2(a7)),f3(a7,f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[19,24,42])).
% 117.88/117.95  cnf(1666,plain,
% 117.88/117.95     (~P2(a1,f2(a7))),
% 117.88/117.95     inference(scs_inference,[],[19,24,52])).
% 117.88/117.95  cnf(1670,plain,
% 117.88/117.95     (E(f2(f2(a7)),f4(f2(a7),f2(a6)))),
% 117.88/117.95     inference(scs_inference,[],[1654,2])).
% 117.88/117.95  cnf(1672,plain,
% 117.88/117.95     (E(x16721,f2(f2(a7)))+~E(x16721,f4(f2(a6),f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[890,1654,1658,2,11,3])).
% 117.88/117.95  cnf(1684,plain,
% 117.88/117.95     (E(f4(f2(a7),a1),f4(a1,a6))),
% 117.88/117.95     inference(scs_inference,[],[1630,2])).
% 117.88/117.95  cnf(1903,plain,
% 117.88/117.95     (P1(f4(f2(f4(a1,a6)),f2(f4(a1,a6))))),
% 117.88/117.95     inference(scs_inference,[],[58,24,41])).
% 117.88/117.95  cnf(2331,plain,
% 117.88/117.95     (~P2(a1,x23311)+~E(x23311,f2(f2(a6)))),
% 117.88/117.95     inference(scs_inference,[],[875,52,16])).
% 117.88/117.95  cnf(2344,plain,
% 117.88/117.95     (E(f3(f3(a1,f2(a6)),x23441),f3(f2(a6),x23441))),
% 117.88/117.95     inference(scs_inference,[],[68,2,5])).
% 117.88/117.95  cnf(2348,plain,
% 117.88/117.95     (E(f4(f3(a1,f2(a6)),x23481),f4(f2(a6),x23481))),
% 117.88/117.95     inference(scs_inference,[],[68,2,7])).
% 117.88/117.95  cnf(2349,plain,
% 117.88/117.95     (~P2(f3(f2(a6),f2(f2(a6))),f2(a1))),
% 117.88/117.95     inference(scs_inference,[],[308,1573,35])).
% 117.88/117.95  cnf(2363,plain,
% 117.88/117.95     (~E(a8,f3(f2(f2(a1)),f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[21,2,585])).
% 117.88/117.95  cnf(2364,plain,
% 117.88/117.95     (~E(a8,a1)),
% 117.88/117.95     inference(scs_inference,[],[588,2363,3])).
% 117.88/117.95  cnf(2366,plain,
% 117.88/117.95     (~E(a8,f4(a1,f2(a1)))),
% 117.88/117.95     inference(scs_inference,[],[588,2363,3,607,620])).
% 117.88/117.95  cnf(2369,plain,
% 117.88/117.95     (~E(a8,f4(f2(a1),a1))),
% 117.88/117.95     inference(scs_inference,[],[588,2363,3,607,620,848,1125,1539])).
% 117.88/117.95  cnf(2375,plain,
% 117.88/117.95     (~E(a8,f4(a1,a6))),
% 117.88/117.95     inference(scs_inference,[],[57,2364,3])).
% 117.88/117.95  cnf(2380,plain,
% 117.88/117.95     (~E(a8,f4(f2(a6),a1))),
% 117.88/117.95     inference(scs_inference,[],[75,2375,3])).
% 117.88/117.95  cnf(2416,plain,
% 117.88/117.95     (E(f3(f3(a1,f2(a6)),x24161),f3(f2(a6),x24161))),
% 117.88/117.95     inference(rename_variables,[],[2344])).
% 117.88/117.95  cnf(2419,plain,
% 117.88/117.95     (P1(f2(f2(f4(a7,a7))))),
% 117.88/117.95     inference(scs_inference,[],[423,2344,2348,1903,1684,1613,303,52,27,28,29,30,25,26,4,31,32,2331,5,6,7,8,9,10,33,34,42,653,1672,24])).
% 117.88/117.95  cnf(2421,plain,
% 117.88/117.95     (~E(f4(a1,f2(a1)),a8)),
% 117.88/117.95     inference(scs_inference,[],[2366,423,2344,2348,1903,1684,1613,303,52,27,28,29,30,25,26,4,31,32,2331,5,6,7,8,9,10,33,34,42,653,1672,24,2])).
% 117.88/117.95  cnf(2428,plain,
% 117.88/117.95     (E(f3(f3(a1,f2(a6)),x24281),f3(f2(a6),x24281))),
% 117.88/117.95     inference(rename_variables,[],[2344])).
% 117.88/117.95  cnf(2442,plain,
% 117.88/117.95     (~E(f4(a8,a8),a1)),
% 117.88/117.95     inference(scs_inference,[],[907,2366,2349,448,415,423,2344,2416,2428,2348,1903,284,1684,1670,2364,1648,1613,303,18,20,52,27,28,29,30,25,26,4,31,32,2331,5,6,7,8,9,10,33,34,42,653,1672,24,2,41,40,16,15,11,3,35,46,47,48,49,37])).
% 117.88/117.95  cnf(2447,plain,
% 117.88/117.95     (E(f3(a6,a1),a6)),
% 117.88/117.95     inference(scs_inference,[],[18,29])).
% 117.88/117.95  cnf(2455,plain,
% 117.88/117.95     (E(f4(a6,f2(a8)),f2(a8))),
% 117.88/117.95     inference(scs_inference,[],[2419,578,283,303,18,29,31,52,25,28])).
% 117.88/117.95  cnf(2467,plain,
% 117.88/117.95     (~E(f4(a8,f2(a6)),f3(a7,f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[2419,1617,578,283,303,18,20,29,31,52,25,28,27,30,5,34,33,4,42])).
% 117.88/117.95  cnf(2472,plain,
% 117.88/117.95     (E(f3(x24721,a1),f3(x24721,f4(a1,f2(a7))))),
% 117.88/117.95     inference(scs_inference,[],[2419,1617,578,283,303,18,20,29,31,52,25,28,27,30,5,34,33,4,42,26,9,6])).
% 117.88/117.95  cnf(2473,plain,
% 117.88/117.95     (E(f3(a6,f2(a6)),a1)),
% 117.88/117.95     inference(scs_inference,[],[2419,1617,578,283,303,18,20,29,31,52,25,28,27,30,5,34,33,4,42,26,9,6,32])).
% 117.88/117.95  cnf(2475,plain,
% 117.88/117.95     (E(f4(x24751,a1),f4(x24751,f4(a1,f2(a7))))),
% 117.88/117.95     inference(scs_inference,[],[2419,1617,578,283,303,18,20,29,31,52,25,28,27,30,5,34,33,4,42,26,9,6,32,8])).
% 117.88/117.95  cnf(2477,plain,
% 117.88/117.95     (E(f4(a1,x24771),f4(f4(a1,f2(a7)),x24771))),
% 117.88/117.95     inference(scs_inference,[],[2419,1617,578,283,303,18,20,29,31,52,25,28,27,30,5,34,33,4,42,26,9,6,32,8,10,7])).
% 117.88/117.95  cnf(2480,plain,
% 117.88/117.95     (~E(a1,f4(a8,a8))),
% 117.88/117.95     inference(scs_inference,[],[2442,2419,1617,578,1543,283,303,18,20,29,31,52,25,28,27,30,5,34,33,4,42,26,9,6,32,8,10,7,24,2])).
% 117.88/117.95  cnf(2481,plain,
% 117.88/117.95     (P1(f4(f2(a7),f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[2442,2419,1617,578,1543,294,283,303,18,20,29,31,52,25,28,27,30,5,34,33,4,42,26,9,6,32,8,10,7,24,2,41])).
% 117.88/117.95  cnf(2483,plain,
% 117.88/117.95     (P1(f3(f2(a6),f2(a6)))),
% 117.88/117.95     inference(scs_inference,[],[2442,2419,1617,578,1543,294,283,303,18,20,29,31,52,25,28,27,30,5,34,33,4,42,26,9,6,32,8,10,7,24,2,41,40])).
% 117.88/117.95  cnf(2506,plain,
% 117.88/117.95     (E(f3(f4(a1,a6),a1),f4(a1,a6))),
% 117.88/117.95     inference(scs_inference,[],[2481,58,25,29])).
% 117.88/117.95  cnf(2512,plain,
% 117.88/117.95     (E(f3(a1,a6),a6)),
% 117.88/117.95     inference(scs_inference,[],[2481,18,58,25,29,31,52,27])).
% 117.88/117.95  cnf(2514,plain,
% 117.88/117.95     (E(f4(a6,a6),a6)),
% 117.88/117.95     inference(scs_inference,[],[2481,18,58,25,29,31,52,27,28])).
% 117.88/117.95  cnf(2518,plain,
% 117.88/117.95     (~E(f4(a8,f2(a8)),f3(a7,f2(a7)))),
% 117.88/117.95     inference(scs_inference,[],[2481,303,18,58,25,29,31,52,27,28,34,42])).
% 117.88/117.95  cnf(2522,plain,
% 117.88/117.95     (E(f2(f3(a6,a1)),f2(a6))),
% 117.88/117.95     inference(scs_inference,[],[2447,2481,303,18,58,25,29,31,52,27,28,34,42,26,4])).
% 117.88/117.95  cnf(2532,plain,
% 117.88/117.95     (E(f4(x25321,f3(a6,a1)),f4(x25321,a6))),
% 117.88/117.95     inference(scs_inference,[],[2447,2481,303,18,58,25,29,31,52,27,28,34,42,26,4,30,5,32,33,6,9,8])).
% 117.88/117.95  cnf(2534,plain,
% 117.88/117.95     (E(f4(f3(a6,a1),x25341),f4(a6,x25341))),
% 117.88/117.95     inference(scs_inference,[],[2447,2481,303,18,58,25,29,31,52,27,28,34,42,26,4,30,5,32,33,6,9,8,10,7])).
% 117.88/117.95  cnf(2537,plain,
% 117.88/117.95     (~E(f4(f2(a1),a1),a8)),
% 117.88/117.95     inference(scs_inference,[],[2447,2481,2369,1569,303,18,58,25,29,31,52,27,28,34,42,26,4,30,5,32,33,6,9,8,10,7,24,2])).
% 117.88/117.95  cnf(2538,plain,
% 117.88/117.95     (P1(f4(f2(a6),f2(a6)))),
% 117.88/117.95     inference(scs_inference,[],[2447,2481,2369,1569,283,303,18,58,25,29,31,52,27,28,34,42,26,4,30,5,32,33,6,9,8,10,7,24,2,41])).
% 117.88/117.95  cnf(2542,plain,
% 117.88/117.95     (~P2(f4(a1,a6),f3(a6,a1))),
% 117.88/117.95     inference(scs_inference,[],[59,2447,2481,2369,1569,283,303,18,58,25,29,31,52,27,28,34,42,26,4,30,5,32,33,6,9,8,10,7,24,2,41,40,16])).
% 117.88/117.95  cnf(2555,plain,
% 117.88/117.95     (E(f4(f2(a7),f3(a6,a1)),f2(a7))),
% 117.88/117.95     inference(scs_inference,[],[59,55,2447,2455,2481,2369,2473,2477,101,629,1569,283,303,18,58,19,25,29,31,52,27,28,34,42,26,4,30,5,32,33,6,9,8,10,7,24,2,41,40,16,15,11,3,46,47,49,48,1652])).
% 117.88/117.95  cnf(2571,plain,
% 117.88/117.95     (E(f3(a8,a1),a8)),
% 117.88/117.95     inference(scs_inference,[],[2538,2483,20,25,52,29])).
% 117.88/117.95  cnf(2573,plain,
% 117.88/117.95     (E(f3(f2(a8),a8),a1)),
% 117.88/117.95     inference(scs_inference,[],[2538,2483,20,25,52,29,31])).
% 117.88/117.95  cnf(2575,plain,
% 117.88/117.95     (E(f4(a6,a8),a8)),
% 117.88/117.96     inference(scs_inference,[],[2538,2483,20,25,52,29,31,28])).
% 117.88/117.96  cnf(2577,plain,
% 117.88/117.96     (E(f3(a1,a8),a8)),
% 117.88/117.96     inference(scs_inference,[],[2538,2483,20,25,52,29,31,28,27])).
% 117.88/117.96  cnf(2579,plain,
% 117.88/117.96     (~E(f4(a8,a6),f3(a7,f2(a7)))),
% 117.88/117.96     inference(scs_inference,[],[2538,2483,18,20,25,52,29,31,28,27,42])).
% 117.88/117.96  cnf(2581,plain,
% 117.88/117.96     (E(f4(a8,a6),a8)),
% 117.88/117.96     inference(scs_inference,[],[2538,2483,18,20,25,52,29,31,28,27,42,30])).
% 117.88/117.96  cnf(2587,plain,
% 117.88/117.96     (E(f3(a8,f2(a8)),a1)),
% 117.88/117.96     inference(scs_inference,[],[2538,2483,18,20,25,52,29,31,28,27,42,30,26,34,32])).
% 117.88/117.96  cnf(2589,plain,
% 117.88/117.96     (E(f3(f4(a6,a6),x25891),f3(a6,x25891))),
% 117.88/117.96     inference(scs_inference,[],[2514,2538,2483,18,20,25,52,29,31,28,27,42,30,26,34,32,5])).
% 117.88/117.96  cnf(2597,plain,
% 117.88/117.96     (E(f4(f4(a6,a6),x25971),f4(a6,x25971))),
% 117.88/117.96     inference(scs_inference,[],[2514,2538,2483,1618,18,20,19,25,52,29,31,28,27,42,30,26,34,32,5,33,4,6,9,24,7])).
% 117.88/117.96  cnf(2598,plain,
% 117.88/117.96     (E(f4(x25981,f4(a6,a6)),f4(x25981,a6))),
% 117.88/117.96     inference(scs_inference,[],[2514,2538,2483,1618,18,20,19,25,52,29,31,28,27,42,30,26,34,32,5,33,4,6,9,24,7,8])).
% 117.88/117.96  cnf(2601,plain,
% 117.88/117.96     (~P3(a7,a7,f3(a8,a1))),
% 117.88/117.96     inference(scs_inference,[],[2514,2538,2483,2380,23,1618,18,20,19,25,52,29,31,28,27,42,30,26,34,32,5,33,4,6,9,24,7,8,10,2,14])).
% 117.88/117.96  cnf(2602,plain,
% 117.88/117.96     (P1(f4(f2(a8),f2(a8)))),
% 117.88/117.96     inference(scs_inference,[],[2514,2538,2483,2380,23,1618,303,18,20,19,25,52,29,31,28,27,42,30,26,34,32,5,33,4,6,9,24,7,8,10,2,14,41])).
% 117.88/117.96  cnf(2604,plain,
% 117.88/117.96     (P1(f3(a6,a6))),
% 117.88/117.96     inference(scs_inference,[],[2514,2538,2483,2380,23,1618,303,18,20,19,25,52,29,31,28,27,42,30,26,34,32,5,33,4,6,9,24,7,8,10,2,14,41,40])).
% 117.88/117.96  cnf(2610,plain,
% 117.88/117.96     (~E(f4(f2(a7),a1),f4(a8,a8))),
% 117.88/117.96     inference(scs_inference,[],[22,356,2514,2480,2555,2538,2483,2380,2472,1628,23,662,1618,303,18,20,19,25,52,29,31,28,27,42,30,26,34,32,5,33,4,6,9,24,7,8,10,2,14,41,40,16,15,11,3])).
% 117.88/117.96  cnf(2619,plain,
% 117.88/117.96     (E(f4(f2(a7),f4(a6,a6)),f2(a7))),
% 117.88/117.96     inference(scs_inference,[],[22,356,2514,2480,2555,2538,2483,2380,2472,1628,23,662,1618,303,18,20,19,17,25,52,29,31,28,27,42,30,26,34,32,5,33,4,6,9,24,7,8,10,2,14,41,40,16,15,11,3,46,48,47,49,1652])).
% 117.88/117.96  cnf(2622,plain,
% 117.88/117.96     (~P3(a7,x26221,a8)+~E(x26221,a7)),
% 117.88/117.96     inference(scs_inference,[],[22,356,2514,2480,2555,2538,2483,2380,2472,1628,23,662,1618,303,18,20,19,17,25,52,29,31,28,27,42,30,26,34,32,5,33,4,6,9,24,7,8,10,2,14,41,40,16,15,11,3,46,48,47,49,1652,171,13])).
% 117.88/117.96  cnf(2628,plain,
% 117.88/117.96     (~P2(a1,f3(a6,a6))),
% 117.88/117.96     inference(scs_inference,[],[2604,31,25,52])).
% 117.88/117.96  cnf(2638,plain,
% 117.88/117.96     (E(f4(f3(a6,a6),a6),f3(a6,a6))),
% 117.88/117.96     inference(scs_inference,[],[2604,31,25,52,29,27,28,26,30])).
% 117.88/117.96  cnf(2654,plain,
% 117.88/117.96     (E(f4(x26541,f3(a1,a6)),f4(x26541,a6))),
% 117.88/117.96     inference(scs_inference,[],[2604,2512,1629,31,25,52,29,27,28,26,30,32,42,5,34,33,9,4,6,24,8])).
% 117.88/117.96  cnf(2655,plain,
% 117.88/117.96     (E(f4(f3(a1,a6),x26551),f4(a6,x26551))),
% 117.88/117.96     inference(scs_inference,[],[2604,2512,1629,31,25,52,29,27,28,26,30,32,42,5,34,33,9,4,6,24,8,7])).
% 117.88/117.96  cnf(2657,plain,
% 117.88/117.96     (~E(f4(a8,a8),f4(f2(a7),a1))),
% 117.88/117.96     inference(scs_inference,[],[2604,2512,2610,1629,31,25,52,29,27,28,26,30,32,42,5,34,33,9,4,6,24,8,7,10,2])).
% 117.88/117.96  cnf(2658,plain,
% 117.88/117.96     (~P3(a7,a7,f4(a8,a6))),
% 117.88/117.96     inference(scs_inference,[],[2604,2512,2581,2610,23,1629,31,25,52,29,27,28,26,30,32,42,5,34,33,9,4,6,24,8,7,10,2,14])).
% 117.88/117.96  cnf(2659,plain,
% 117.88/117.96     (P1(f3(f3(a6,a6),f3(a6,a6)))),
% 117.88/117.96     inference(scs_inference,[],[2604,2512,2581,2610,23,1629,31,25,52,29,27,28,26,30,32,42,5,34,33,9,4,6,24,8,7,10,2,14,40])).
% 117.88/117.96  cnf(2661,plain,
% 117.88/117.96     (P1(f4(f3(a6,a6),f3(a6,a6)))),
% 117.88/117.96     inference(scs_inference,[],[2604,2512,2581,2610,23,1629,31,25,52,29,27,28,26,30,32,42,5,34,33,9,4,6,24,8,7,10,2,14,40,41])).
% 117.88/117.96  cnf(2667,plain,
% 117.88/117.96     (~E(a8,f3(a7,f2(a7)))),
% 117.88/117.96     inference(scs_inference,[],[22,2604,2512,2581,2610,64,2579,2475,23,1629,31,25,52,29,27,28,26,30,32,42,5,34,33,9,4,6,24,8,7,10,2,14,40,41,16,15,11,3])).
% 117.88/117.96  cnf(2668,plain,
% 117.88/117.96     (E(f4(f2(a7),f3(a1,a6)),f2(a7))),
% 117.88/117.96     inference(scs_inference,[],[22,2604,2512,2581,2610,64,2579,2475,23,1629,31,25,52,29,27,28,26,30,32,42,5,34,33,9,4,6,24,8,7,10,2,14,40,41,16,15,11,3,1652])).
% 117.88/117.96  cnf(2669,plain,
% 117.88/117.96     (~P3(x26691,a7,f3(a8,a1))+~E(x26691,a7)),
% 117.88/117.96     inference(scs_inference,[],[22,2604,2512,2581,2601,2610,64,2579,2475,23,1629,31,25,52,29,27,28,26,30,32,42,5,34,33,9,4,6,24,8,7,10,2,14,40,41,16,15,11,3,1652,12])).
% 117.88/117.96  cnf(2673,plain,
% 117.88/117.96     (E(f3(a7,a1),a7)),
% 117.88/117.96     inference(scs_inference,[],[19,29])).
% 117.88/117.96  cnf(2675,plain,
% 117.88/117.96     (E(f4(a7,a6),a7)),
% 117.88/117.96     inference(scs_inference,[],[19,29,30])).
% 117.88/117.96  cnf(2683,plain,
% 117.88/117.96     (E(f3(a1,f4(a1,a6)),f4(a1,a6))),
% 117.88/117.96     inference(scs_inference,[],[2602,58,19,29,30,31,25,52,27])).
% 117.88/117.96  cnf(2689,plain,
% 117.88/117.96     (E(f3(a7,f2(a7)),a1)),
% 117.88/117.96     inference(scs_inference,[],[2602,58,19,29,30,31,25,52,27,28,42,32])).
% 117.88/117.96  cnf(2695,plain,
% 117.88/117.96     (E(f3(f3(a8,a1),x26951),f3(a8,x26951))),
% 117.88/117.96     inference(scs_inference,[],[2571,2602,58,19,29,30,31,25,52,27,28,42,32,26,34,5])).
% 117.88/117.96  cnf(2703,plain,
% 117.88/117.96     (E(f4(f3(a8,a1),x27031),f4(a8,x27031))),
% 117.88/117.96     inference(scs_inference,[],[2571,2602,2659,58,19,17,29,30,31,25,52,27,28,42,32,26,34,5,33,24,4,6,9,7])).
% 117.88/117.96  cnf(2704,plain,
% 117.88/117.96     (E(f4(x27041,f3(a8,a1)),f4(x27041,a8))),
% 117.88/117.96     inference(scs_inference,[],[2571,2602,2659,58,19,17,29,30,31,25,52,27,28,42,32,26,34,5,33,24,4,6,9,7,8])).
% 117.88/117.96  cnf(2707,plain,
% 117.88/117.96     (~P3(f3(a7,a1),f3(a7,a1),a8)),
% 117.88/117.96     inference(scs_inference,[],[2571,2602,2659,2667,58,19,17,29,30,31,25,52,27,28,42,32,26,34,5,33,24,4,6,9,7,8,10,2,175])).
% 117.88/117.96  cnf(2708,plain,
% 117.88/117.96     (~P3(a7,f3(a7,a1),f3(a8,a1))),
% 117.88/117.96     inference(scs_inference,[],[2571,2602,2659,2667,58,19,17,29,30,31,25,52,27,28,42,32,26,34,5,33,24,4,6,9,7,8,10,2,175,181])).
% 117.88/117.96  cnf(2709,plain,
% 117.88/117.96     (~P3(f3(a7,a1),a7,f4(a8,a6))),
% 117.88/117.96     inference(scs_inference,[],[2571,2658,2602,2659,2667,58,19,17,29,30,31,25,52,27,28,42,32,26,34,5,33,24,4,6,9,7,8,10,2,175,181,12])).
% 117.88/117.96  cnf(2710,plain,
% 117.88/117.96     (~P3(a7,f3(a7,a1),f4(a8,a6))),
% 117.88/117.96     inference(scs_inference,[],[2571,2658,2602,2659,2667,58,19,17,29,30,31,25,52,27,28,42,32,26,34,5,33,24,4,6,9,7,8,10,2,175,181,12,13])).
% 117.88/117.96  cnf(2711,plain,
% 117.88/117.96     (P1(f4(a6,a6))),
% 117.88/117.96     inference(scs_inference,[],[2571,2658,2602,2659,2667,18,58,19,17,29,30,31,25,52,27,28,42,32,26,34,5,33,24,4,6,9,7,8,10,2,175,181,12,13,41])).
% 117.88/117.96  cnf(2714,plain,
% 117.88/117.96     (E(f4(x27141,f4(a6,a6)),f4(x27141,a6))),
% 117.88/117.96     inference(rename_variables,[],[2598])).
% 117.88/117.96  cnf(2719,plain,
% 117.88/117.96     (~P2(f4(a1,a6),f3(a7,a1))),
% 117.88/117.96     inference(scs_inference,[],[84,2571,2658,2598,2714,2602,2659,2667,18,58,19,17,29,30,31,25,52,27,28,42,32,26,34,5,33,24,4,6,9,7,8,10,2,175,181,12,13,41,14,40,15,16])).
% 117.88/117.96  cnf(2722,plain,
% 117.88/117.96     (~P3(a7,f3(a7,a1),a8)),
% 117.88/117.96     inference(scs_inference,[],[84,2571,2658,2598,2714,2602,2659,2421,2667,1254,18,58,19,17,29,30,31,25,52,27,28,42,32,26,34,5,33,24,4,6,9,7,8,10,2,175,181,12,13,41,14,40,15,16,3,184,2622])).
% 117.88/117.96  cnf(2723,plain,
% 117.88/117.96     (~P3(f3(a7,a1),a7,f3(a8,a1))),
% 117.88/117.96     inference(scs_inference,[],[84,2571,2658,2598,2714,2602,2659,2421,2667,1254,18,58,19,17,29,30,31,25,52,27,28,42,32,26,34,5,33,24,4,6,9,7,8,10,2,175,181,12,13,41,14,40,15,16,3,184,2622,2669])).
% 117.88/117.96  cnf(2728,plain,
% 117.88/117.96     (~E(f4(a8,f4(a6,a6)),f3(a7,f2(a7)))),
% 117.88/117.96     inference(scs_inference,[],[2711,25,42])).
% 117.88/117.96  cnf(2744,plain,
% 117.88/117.96     (E(f4(a6,a7),a7)),
% 117.88/117.96     inference(scs_inference,[],[2711,19,25,42,29,52,26,31,27,32,34,28])).
% 117.88/117.96  cnf(2746,plain,
% 117.88/117.96     (E(f3(f4(a6,a8),x27461),f3(a8,x27461))),
% 117.88/117.96     inference(scs_inference,[],[2711,2575,19,25,42,29,52,26,31,27,32,34,28,5])).
% 117.88/117.96  cnf(2753,plain,
% 117.88/117.96     (E(f3(x27531,f4(a6,a8)),f3(x27531,a8))),
% 117.88/117.96     inference(scs_inference,[],[2711,2575,2661,19,25,42,29,52,26,31,27,32,34,28,5,33,24,9,4,6])).
% 117.88/117.96  cnf(2755,plain,
% 117.88/117.96     (E(f4(f4(a6,a8),x27551),f4(a8,x27551))),
% 117.88/117.96     inference(scs_inference,[],[2711,2575,2661,19,25,42,29,52,26,31,27,32,34,28,5,33,24,9,4,6,8,7])).
% 117.88/117.96  cnf(2758,plain,
% 117.88/117.96     (~P3(f3(a7,a1),f3(a7,a1),f4(a8,a6))),
% 117.88/117.96     inference(scs_inference,[],[2711,2710,2575,2673,2661,1662,19,25,42,29,52,26,31,27,32,34,28,5,33,24,9,4,6,8,7,10,2,12])).
% 117.88/117.96  cnf(2759,plain,
% 117.88/117.96     (P1(f4(f4(a6,a6),f4(a6,a6)))),
% 117.88/117.96     inference(scs_inference,[],[2711,2710,2575,2673,2661,1662,19,25,42,29,52,26,31,27,32,34,28,5,33,24,9,4,6,8,7,10,2,12,41])).
% 117.88/117.96  cnf(2761,plain,
% 117.88/117.96     (~P3(f3(a7,a1),f3(a7,a1),f3(a8,a1))),
% 117.88/117.96     inference(scs_inference,[],[2711,2723,2710,2575,2673,2661,1662,19,25,42,29,52,26,31,27,32,34,28,5,33,24,9,4,6,8,7,10,2,12,41,13])).
% 117.88/117.96  cnf(2762,plain,
% 117.88/117.96     (~P3(f3(a7,a1),f3(a7,a1),f4(a6,a8))),
% 117.88/117.96     inference(scs_inference,[],[2711,2723,2710,2707,2575,2673,2661,1662,19,25,42,29,52,26,31,27,32,34,28,5,33,24,9,4,6,8,7,10,2,12,41,13,14])).
% 117.88/117.96  cnf(2777,plain,
% 117.88/117.96     (E(f3(a1,f2(a1)),a1)),
% 117.88/117.96     inference(scs_inference,[],[2759,17,52,32])).
% 117.88/117.96  cnf(2781,plain,
% 117.88/117.96     (E(f3(a1,a1),a1)),
% 117.88/117.96     inference(scs_inference,[],[2759,17,52,32,25,29])).
% 117.88/117.96  cnf(2785,plain,
% 117.88/117.96     (~E(f4(a8,a8),f3(a7,f2(a7)))),
% 117.88/117.96     inference(scs_inference,[],[2759,20,17,52,32,25,29,26,42])).
% 117.88/117.96  cnf(2787,plain,
% 117.88/117.96     (E(f4(a6,a1),a1)),
% 117.88/117.96     inference(scs_inference,[],[2759,20,17,52,32,25,29,26,42,28])).
% 117.88/117.96  cnf(2789,plain,
% 117.88/117.96     (E(f3(f2(a7),a7),a1)),
% 117.88/117.96     inference(scs_inference,[],[2759,20,19,17,52,32,25,29,26,42,28,31])).
% 117.88/117.96  cnf(2793,plain,
% 117.88/117.96     (E(f3(a1,a7),a7)),
% 117.88/117.96     inference(scs_inference,[],[2759,20,19,17,52,32,25,29,26,42,28,31,34,27])).
% 117.88/117.96  cnf(2795,plain,
% 117.88/117.96     (E(f3(f4(a7,a6),x27951),f3(a7,x27951))),
% 117.88/117.96     inference(scs_inference,[],[2675,2759,20,19,17,52,32,25,29,26,42,28,31,34,27,5])).
% 117.88/117.96  cnf(2799,plain,
% 117.88/117.96     (E(f4(x27991,f4(a7,a6)),f4(x27991,a7))),
% 117.88/117.96     inference(scs_inference,[],[2675,2759,20,19,17,52,32,25,29,26,42,28,31,34,27,5,24,9,8])).
% 117.88/117.96  cnf(2802,plain,
% 117.88/117.96     (E(f4(f4(a7,a6),x28021),f4(a7,x28021))),
% 117.88/117.96     inference(scs_inference,[],[2675,2759,20,19,17,52,32,25,29,26,42,28,31,34,27,5,24,9,8,4,6,7])).
% 117.88/117.96  cnf(2805,plain,
% 117.88/117.96     (P1(f4(a8,a8))),
% 117.88/117.96     inference(scs_inference,[],[2675,2759,2467,20,19,17,52,32,25,29,26,42,28,31,34,27,5,24,9,8,4,6,7,10,2,41])).
% 117.88/117.96  cnf(2807,plain,
% 117.88/117.96     (~P3(f4(a7,a6),f3(a7,a1),f3(a8,a1))),
% 117.88/117.96     inference(scs_inference,[],[2675,2708,2759,2467,20,19,17,52,32,25,29,26,42,28,31,34,27,5,24,9,8,4,6,7,10,2,41,12])).
% 117.88/117.96  cnf(2810,plain,
% 117.88/117.96     (~P3(f3(a7,a1),f4(a7,a6),f4(a8,a6))),
% 117.88/117.96     inference(scs_inference,[],[2758,2675,2708,2709,2755,2759,2467,20,19,17,52,32,25,29,26,42,28,31,34,27,5,24,9,8,4,6,7,10,2,41,12,14,13])).
% 117.88/117.96  cnf(2811,plain,
% 117.88/117.96     (P1(f3(a8,a8))),
% 117.88/117.96     inference(scs_inference,[],[2758,2675,2708,2709,2755,2759,2467,20,19,17,52,32,25,29,26,42,28,31,34,27,5,24,9,8,4,6,7,10,2,41,12,14,13,40])).
% 117.88/117.96  cnf(2818,plain,
% 117.88/117.96     (E(f4(f4(a8,a8),a6),f4(a8,a8))),
% 117.88/117.96     inference(scs_inference,[],[22,2758,2675,2708,2709,2577,2755,2759,2537,2467,1563,2364,20,19,17,52,32,25,29,26,42,28,31,34,27,5,24,9,8,4,6,7,10,2,41,12,14,13,40,15,16,3,53,30])).
% 117.88/117.96  cnf(2827,plain,
% 117.88/117.96     (~E(f4(f4(a8,a8),f4(a8,a8)),a1)),
% 117.88/117.96     inference(scs_inference,[],[22,2758,2675,2708,2709,2577,2755,2759,2537,2467,1563,2442,2364,20,19,17,52,32,25,29,26,42,28,31,34,27,5,24,9,8,4,6,7,10,2,41,12,14,13,40,15,16,3,53,30,33,199,43,45,37])).
% 117.88/117.96  cnf(2845,plain,
% 117.88/117.96     (~E(f4(a8,f4(a8,a8)),f3(a7,f2(a7)))),
% 117.88/117.96     inference(scs_inference,[],[2805,2811,29,31,30,52,26,27,25,42])).
% 117.88/117.96  cnf(2856,plain,
% 117.88/117.96     (P1(f2(f4(a8,a8)))),
% 117.88/117.96     inference(scs_inference,[],[2805,2811,2744,29,31,30,52,26,27,25,42,32,28,34,5,33,24])).
% 117.88/117.96  cnf(2858,plain,
% 117.88/117.96     (E(f4(f4(a6,a7),x28581),f4(a7,x28581))),
% 117.88/117.96     inference(scs_inference,[],[2805,2811,2744,29,31,30,52,26,27,25,42,32,28,34,5,33,24,7])).
% 117.88/117.96  cnf(2860,plain,
% 117.88/117.96     (E(f4(x28601,f4(a6,a7)),f4(x28601,a7))),
% 117.88/117.96     inference(scs_inference,[],[2805,2811,2744,29,31,30,52,26,27,25,42,32,28,34,5,33,24,7,4,8])).
% 117.88/117.96  cnf(2865,plain,
% 117.88/117.96     (P1(f4(f4(a8,a8),f4(a8,a8)))),
% 117.88/117.96     inference(scs_inference,[],[2805,2811,2744,2785,29,31,30,52,26,27,25,42,32,28,34,5,33,24,7,4,8,9,6,10,2,41])).
% 117.88/117.96  cnf(2868,plain,
% 117.88/117.96     (E(f3(f4(a7,a6),x28681),f3(a7,x28681))),
% 117.88/117.96     inference(rename_variables,[],[2795])).
% 117.88/117.96  cnf(2869,plain,
% 117.88/117.96     (~P3(f3(a7,a1),f3(a7,a1),f4(f4(a6,a6),a8))),
% 117.88/117.96     inference(scs_inference,[],[2805,2811,2761,2762,2744,2597,2795,2785,29,31,30,52,26,27,25,42,32,28,34,5,33,24,7,4,8,9,6,10,2,41,12,14])).
% 117.88/117.96  cnf(2876,plain,
% 117.88/117.96     (~P2(f3(a1,a1),f2(a7))),
% 117.88/117.96     inference(scs_inference,[],[2805,2811,2761,2762,2744,1666,2781,2597,2795,2868,92,2785,29,31,30,52,26,27,25,42,32,28,34,5,33,24,7,4,8,9,6,10,2,41,12,14,40,13,16,15])).
% 117.88/117.96  cnf(2881,plain,
% 117.88/117.96     (P2(f4(a8,a8),f4(f4(a8,a8),f4(a8,a8)))),
% 117.88/117.96     inference(scs_inference,[],[2805,2811,2761,2762,2744,1666,2781,2597,2795,2868,92,2785,2827,1542,2442,29,31,30,52,26,27,25,42,32,28,34,5,33,24,7,4,8,9,6,10,2,41,12,14,40,13,16,15,3,37,199,53])).
% 117.88/117.96  cnf(2892,plain,
% 117.88/117.96     (~E(f4(a8,f3(a8,a8)),f3(a7,f2(a7)))),
% 117.88/117.96     inference(scs_inference,[],[2856,2811,27,31,25,42])).
% 117.88/117.96  cnf(2906,plain,
% 117.88/117.96     (E(f3(f3(a1,a7),x29061),f3(a7,x29061))),
% 117.88/117.96     inference(scs_inference,[],[2793,2856,2811,27,31,25,42,52,29,34,28,26,32,5])).
% 117.88/117.96  cnf(2909,plain,
% 117.88/117.96     (E(f4(f3(a1,a7),x29091),f4(a7,x29091))),
% 117.88/117.96     inference(scs_inference,[],[2793,2856,2811,27,31,25,42,52,29,34,28,26,32,5,24,7])).
% 117.88/117.96  cnf(2911,plain,
% 117.88/117.96     (E(f4(x29111,f3(a1,a7)),f4(x29111,a7))),
% 117.88/117.96     inference(scs_inference,[],[2793,2856,2811,27,31,25,42,52,29,34,28,26,32,5,24,7,9,8])).
% 117.88/117.96  cnf(2918,plain,
% 117.88/117.96     (P1(f4(f3(a8,a8),f3(a8,a8)))),
% 117.88/117.96     inference(scs_inference,[],[2793,2881,2856,2865,2845,2811,27,31,25,42,52,29,34,28,26,32,5,24,7,9,8,6,4,10,2,43,41])).
% 117.88/117.96  cnf(2920,plain,
% 117.88/117.96     (P1(f3(f3(a8,a8),f3(a8,a8)))),
% 117.88/117.96     inference(scs_inference,[],[2793,2881,2856,2865,2845,2811,27,31,25,42,52,29,34,28,26,32,5,24,7,9,8,6,4,10,2,43,41,40])).
% 117.88/117.96  cnf(2922,plain,
% 117.88/117.96     (~P3(f3(a1,a7),f3(a7,a1),a8)),
% 117.88/117.96     inference(scs_inference,[],[2793,2722,2881,2856,2865,2845,2811,27,31,25,42,52,29,34,28,26,32,5,24,7,9,8,6,4,10,2,43,41,40,12])).
% 117.88/117.96  cnf(2923,plain,
% 117.88/117.96     (~P3(f3(a7,a1),f4(a7,a6),f4(a8,f3(a6,a1)))),
% 117.88/117.96     inference(scs_inference,[],[2810,2793,2722,2881,2856,2865,2845,2532,2811,27,31,25,42,52,29,34,28,26,32,5,24,7,9,8,6,4,10,2,43,41,40,12,14])).
% 117.88/117.96  cnf(2944,plain,
% 117.88/117.96     (E(f3(f2(a1),a1),a1)),
% 117.88/117.96     inference(scs_inference,[],[17,31])).
% 117.88/117.96  cnf(2948,plain,
% 117.88/117.96     (~E(f4(a8,a7),f3(a7,f2(a7)))),
% 117.88/117.96     inference(scs_inference,[],[2918,19,17,31,25,42])).
% 117.88/117.96  cnf(2957,plain,
% 117.88/117.96     (E(f4(f4(a6,a1),x29571),f4(a1,x29571))),
% 117.88/117.96     inference(scs_inference,[],[2787,2918,19,17,31,25,42,52,26,5,24,7])).
% 117.88/117.96  cnf(2958,plain,
% 117.88/117.96     (E(f4(x29581,f4(a6,a1)),f4(x29581,a1))),
% 117.88/117.96     inference(scs_inference,[],[2787,2918,19,17,31,25,42,52,26,5,24,7,8])).
% 117.88/117.96  cnf(2964,plain,
% 117.88/117.96     (P1(f4(f4(a1,a6),f4(a1,a6)))),
% 117.88/117.96     inference(scs_inference,[],[2787,2918,2892,58,19,17,31,25,42,52,26,5,24,7,8,10,4,9,6,2,41])).
% 117.88/117.96  cnf(2966,plain,
% 117.88/117.96     (P1(f3(a7,a7))),
% 117.88/117.96     inference(scs_inference,[],[2787,2918,2892,58,19,17,31,25,42,52,26,5,24,7,8,10,4,9,6,2,41,40])).
% 117.88/117.96  cnf(2970,plain,
% 117.88/117.96     (~P3(f4(a7,a6),f3(a7,a1),f3(f3(a8,a1),a1))),
% 117.88/117.96     inference(scs_inference,[],[2807,2787,2695,2802,2918,2892,58,19,17,31,25,42,52,26,5,24,7,8,10,4,9,6,2,41,40,12,14])).
% 117.88/117.96  cnf(2972,plain,
% 117.88/117.96     (~P3(f4(a7,a6),f3(f3(a1,a7),a1),f3(a8,a1))),
% 117.88/117.96     inference(scs_inference,[],[2807,2787,2695,2802,2906,2918,2892,58,19,17,31,25,42,52,26,5,24,7,8,10,4,9,6,2,41,40,12,14,13])).
% 117.88/117.96  cnf(2975,plain,
% 117.88/117.96     (~P2(f4(a6,a1),f3(a6,a6))),
% 117.88/117.96     inference(scs_inference,[],[2807,2628,2787,2695,2802,2906,179,2918,2892,58,19,17,31,25,42,52,26,5,24,7,8,10,4,9,6,2,41,40,12,14,13,16,15])).
% 117.88/117.96  cnf(2979,plain,
% 117.88/117.96     (E(f4(f4(a6,a1),f2(a1)),a1)),
% 117.88/117.96     inference(scs_inference,[],[2807,2628,2787,2695,2802,2906,179,2918,2892,839,58,19,17,31,25,42,52,26,5,24,7,8,10,4,9,6,2,41,40,12,14,13,16,15,3,621,620])).
% 117.88/117.96  cnf(2981,plain,
% 117.88/117.96     (E(f4(f2(a1),f4(a6,a1)),a1)),
% 117.88/117.96     inference(scs_inference,[],[2807,2628,2787,2695,2802,2906,179,2918,2892,839,58,19,17,31,25,42,52,26,5,24,7,8,10,4,9,6,2,41,40,12,14,13,16,15,3,621,620,653,1539])).
% 117.88/117.96  cnf(3018,plain,
% 117.88/117.96     (~E(f3(a7,f2(a7)),f4(a8,a7))),
% 117.88/117.96     inference(scs_inference,[],[2966,2920,2587,2948,25,42,31,52,26,5,24,7,4,10,9,8,6,2])).
% 117.88/117.96  cnf(3019,plain,
% 117.88/117.96     (~P3(a7,f3(a7,a1),f3(a1,a8))),
% 117.88/117.96     inference(scs_inference,[],[2966,2920,2587,2948,2577,2673,25,42,31,52,26,5,24,7,4,10,9,8,6,2,181])).
% 117.88/117.96  cnf(3020,plain,
% 117.88/117.96     (P1(f4(f3(a7,a7),f3(a7,a7)))),
% 117.88/117.96     inference(scs_inference,[],[2966,2920,2587,2948,2577,2673,25,42,31,52,26,5,24,7,4,10,9,8,6,2,181,41])).
% 117.88/117.96  cnf(3022,plain,
% 117.88/117.96     (P1(f3(f3(a7,a7),f3(a7,a7)))),
% 117.88/117.96     inference(scs_inference,[],[2966,2920,2587,2948,2577,2673,25,42,31,52,26,5,24,7,4,10,9,8,6,2,181,41,40])).
% 117.88/117.96  cnf(3026,plain,
% 117.88/117.96     (E(f4(f4(a6,a7),x30261),f4(a7,x30261))),
% 117.88/117.96     inference(rename_variables,[],[2858])).
% 117.88/117.96  cnf(3031,plain,
% 117.88/117.96     (~E(f4(a8,a8),f4(f2(a7),f4(a6,a1)))),
% 117.88/117.96     inference(scs_inference,[],[2966,335,2922,2506,2972,2858,3026,2958,2522,2920,2587,2923,2657,2948,2577,2673,25,42,31,52,26,5,24,7,4,10,9,8,6,2,181,41,40,14,12,13,16,15,3])).
% 117.88/117.96  cnf(3043,plain,
% 117.88/117.96     (~E(f4(a8,a1),f3(a7,f2(a7)))),
% 117.88/117.96     inference(scs_inference,[],[17,42])).
% 117.88/117.96  cnf(3059,plain,
% 117.88/117.96     (E(f3(x30591,f3(a1,f2(a1))),f3(x30591,a1))),
% 117.88/117.96     inference(scs_inference,[],[2964,3020,2777,17,42,25,52,5,26,24,7,10,9,4,8,6])).
% 117.88/117.96  cnf(3061,plain,
% 117.88/117.96     (P1(f4(a7,a7))),
% 117.88/117.96     inference(scs_inference,[],[2964,3020,2777,3031,19,17,42,25,52,5,26,24,7,10,9,4,8,6,2,41])).
% 117.88/117.96  cnf(3063,plain,
% 117.88/117.96     (P1(f3(a1,a1))),
% 117.88/117.96     inference(scs_inference,[],[2964,3020,2777,3031,19,17,42,25,52,5,26,24,7,10,9,4,8,6,2,41,40])).
% 117.88/117.96  cnf(3101,plain,
% 117.88/117.96     (E(f3(f3(a1,a1),a1),f3(a1,a1))),
% 117.88/117.96     inference(scs_inference,[],[3063,29])).
% 117.88/117.96  cnf(3111,plain,
% 117.88/117.96     (E(f3(a1,f3(a1,a1)),f3(a1,a1))),
% 117.88/117.96     inference(scs_inference,[],[3061,3063,29,28,42,30,34,27])).
% 117.88/117.96  cnf(3134,plain,
% 117.88/117.96     (~E(f3(a7,f2(a7)),f4(a8,a1))),
% 117.88/117.96     inference(scs_inference,[],[3061,3063,3022,2979,3043,29,28,42,30,34,27,32,25,31,52,26,33,24,5,7,10,9,4,8,6,2])).
% 117.88/117.96  cnf(3135,plain,
% 117.88/117.96     (P1(f4(f4(a7,a7),f4(a7,a7)))),
% 117.88/117.96     inference(scs_inference,[],[3061,3063,3022,2979,3043,29,28,42,30,34,27,32,25,31,52,26,33,24,5,7,10,9,4,8,6,2,41])).
% 117.88/117.96  cnf(3142,plain,
% 117.88/117.96     (E(f4(f3(a1,a7),x31421),f4(a7,x31421))),
% 117.88/117.96     inference(rename_variables,[],[2909])).
% 117.88/117.96  cnf(3148,plain,
% 117.88/117.96     (~E(a1,f4(a8,a7))),
% 117.88/117.96     inference(scs_inference,[],[3061,3063,2975,3019,2638,2534,2753,2909,3142,3018,3022,2979,2970,3043,2689,2810,29,28,42,30,34,27,32,25,31,52,26,33,24,5,7,10,9,4,8,6,2,41,40,14,12,13,16,15,3])).
% 117.88/117.96  cnf(3149,plain,
% 117.88/117.96     (~P3(a7,f4(a6,a7),a8)),
% 117.88/117.96     inference(scs_inference,[],[3061,3063,2975,3019,2638,2534,2753,2909,3142,3018,3022,2979,2970,3043,2689,2810,2744,29,28,42,30,34,27,32,25,31,52,26,33,24,5,7,10,9,4,8,6,2,41,40,14,12,13,16,15,3,2622])).
% 117.88/117.96  cnf(3152,plain,
% 117.88/117.96     (~P3(f4(a6,a7),a7,f3(a8,a1))),
% 117.88/117.96     inference(scs_inference,[],[3061,3063,2975,3019,2638,2534,2753,2909,3142,3018,3022,2979,2970,3043,2689,2810,2744,29,28,42,30,34,27,32,25,31,52,26,33,24,5,7,10,9,4,8,6,2,41,40,14,12,13,16,15,3,2622,621,2669])).
% 117.88/117.96  cnf(3177,plain,
% 117.88/117.96     (~E(f4(a8,a7),a1)),
% 117.88/117.96     inference(scs_inference,[],[3148,3135,2981,3063,42,25,52,26,24,5,7,4,10,9,8,6,2])).
% 117.88/117.96  cnf(3178,plain,
% 117.88/117.96     (P1(f4(f3(a1,a1),f3(a1,a1)))),
% 117.88/117.96     inference(scs_inference,[],[3148,3135,2981,3063,42,25,52,26,24,5,7,4,10,9,8,6,2,41])).
% 117.88/117.96  cnf(3180,plain,
% 117.88/117.96     (P1(f3(f3(a1,a1),f3(a1,a1)))),
% 117.88/117.96     inference(scs_inference,[],[3148,3135,2981,3063,42,25,52,26,24,5,7,4,10,9,8,6,2,41,40])).
% 117.88/117.96  cnf(3186,plain,
% 117.88/117.96     (~P3(f4(a6,a7),f3(a7,a1),f3(a8,a1))),
% 117.88/117.96     inference(scs_inference,[],[3152,3148,2704,2799,3135,2981,2869,2673,3063,42,25,52,26,24,5,7,4,10,9,8,6,2,41,40,14,12,13])).
% 117.88/117.96  cnf(3187,plain,
% 117.88/117.96     (~P2(f3(a1,a1),f4(f2(a7),f4(a6,a6)))),
% 117.88/117.96     inference(scs_inference,[],[2876,3152,3148,2619,2704,2799,3135,2981,2869,2673,3063,42,25,52,26,24,5,7,4,10,9,8,6,2,41,40,14,12,13,16])).
% 117.88/117.96  cnf(3188,plain,
% 117.88/117.96     (~P2(f3(a1,f3(a1,a1)),f2(a7))),
% 117.88/117.96     inference(scs_inference,[],[2876,3152,3148,2619,3111,2704,2799,3135,2981,2869,2673,3063,42,25,52,26,24,5,7,4,10,9,8,6,2,41,40,14,12,13,16,15])).
% 117.88/117.96  cnf(3195,plain,
% 117.88/117.96     (~P3(f4(a7,a6),f4(a7,a6),a8)),
% 117.88/117.96     inference(scs_inference,[],[2876,3152,3148,2619,3111,2704,2799,3135,2981,2869,1639,2673,3063,2675,42,25,52,26,24,5,7,4,10,9,8,6,2,41,40,14,12,13,16,15,3,621,653,620,1539,175])).
% 117.88/117.96  cnf(3217,plain,
% 117.88/117.96     (P1(f4(a1,a1))),
% 117.88/117.96     inference(scs_inference,[],[3178,2573,2518,17,25,52,26,24,5,7,4,9,10,6,8,2,41])).
% 117.88/117.96  cnf(3221,plain,
% 117.88/117.96     (~P3(f4(a6,a7),f3(a7,a1),f3(f4(a6,a8),a1))),
% 117.88/117.96     inference(scs_inference,[],[3186,2746,3178,2573,2518,17,25,52,26,24,5,7,4,9,10,6,8,2,41,40,14])).
% 117.88/117.96  cnf(3224,plain,
% 117.88/117.96     (E(f4(x32241,f4(a6,a7)),f4(x32241,a7))),
% 117.88/117.96     inference(rename_variables,[],[2860])).
% 117.88/117.96  cnf(3230,plain,
% 117.88/117.96     (~E(f4(a8,a7),f3(f2(a8),a8))),
% 117.88/117.96     inference(scs_inference,[],[3186,2719,3177,3149,2683,2860,3224,2746,3178,2573,2518,3059,17,25,52,26,24,5,7,4,9,10,6,8,2,41,40,14,13,12,16,15,3])).
% 117.88/117.96  cnf(3257,plain,
% 117.88/117.96     (E(f4(a1,f4(a1,a1)),a1)),
% 117.88/117.96     inference(scs_inference,[],[3217,25])).
% 117.88/117.96  cnf(3273,plain,
% 117.88/117.96     (P1(f4(f4(a1,a1),f4(a1,a1)))),
% 117.88/117.96     inference(scs_inference,[],[3217,3180,2789,3230,25,26,52,24,5,7,10,9,4,6,8,2,41])).
% 117.88/117.96  cnf(3276,plain,
% 117.88/117.96     (E(f4(x32761,f3(a1,a6)),f4(x32761,a6))),
% 117.88/117.96     inference(rename_variables,[],[2654])).
% 117.88/117.96  cnf(3291,plain,
% 117.88/117.96     (~P3(a7,f4(a6,a7),f4(a8,a6))),
% 117.88/117.96     inference(scs_inference,[],[3217,3195,2668,3101,2655,3188,3180,3187,2789,3230,1643,2654,3276,2762,2581,2575,2744,25,26,52,24,5,7,10,9,4,6,8,2,41,13,14,12,16,15,3,621,653,620,1539,171,181])).
% 117.88/117.96  cnf(3294,plain,
% 117.88/117.96     (P1(f5(f4(a8,a8),f4(a8,a8)))),
% 117.88/117.96     inference(scs_inference,[],[3217,3195,2668,3101,2818,2655,3188,3180,3187,2789,3230,1643,2654,3276,2762,2581,2442,2575,2744,2805,18,25,26,52,24,5,7,10,9,4,6,8,2,41,13,14,12,16,15,3,621,653,620,1539,171,181,44,43])).
% 117.88/117.96  cnf(3317,plain,
% 117.88/117.96     (E(f4(x33171,f3(a1,a7)),f4(x33171,a7))),
% 117.88/117.96     inference(rename_variables,[],[2911])).
% 117.88/117.96  cnf(3326,plain,
% 117.88/117.96     (~E(a1,f4(a8,a1))),
% 117.88/117.96     inference(scs_inference,[],[3291,2542,2589,2911,3317,2957,3134,3273,2944,3221,2728,2703,2689,25,52,26,24,5,7,9,4,10,6,8,2,13,14,12,16,15,3])).
% 117.88/117.96  cnf(3361,plain,
% 117.88/117.96     (~E(f4(a8,a1),a1)),
% 117.88/117.96     inference(scs_inference,[],[3326,3294,3257,25,26,52,24,5,7,4,9,6,8,10,2])).
% 117.88/117.96  cnf(4652,plain,
% 117.88/117.96     ($false),
% 117.88/117.96     inference(scs_inference,[],[20,2673,2442,3361,2,1539,620,26]),
% 117.88/117.96     ['proof']).
% 117.88/117.96  % SZS output end Proof
% 117.88/117.96  % Total time :117.260000s
%------------------------------------------------------------------------------