TSTP Solution File: RNG047+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:47:54 EDT 2023
% Result : Theorem 29.70s 29.76s
% Output : CNFRefutation 29.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.33 % Computer : n026.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Sun Aug 27 03:20:49 EDT 2023
% 0.15/0.33 % CPUTime :
% 0.18/0.54 start to proof:theBenchmark
% 29.70/29.75 %-------------------------------------------
% 29.70/29.75 % File :CSE---1.6
% 29.70/29.75 % Problem :theBenchmark
% 29.70/29.75 % Transform :cnf
% 29.70/29.75 % Format :tptp:raw
% 29.70/29.75 % Command :java -jar mcs_scs.jar %d %s
% 29.70/29.75
% 29.70/29.75 % Result :Theorem 29.150000s
% 29.70/29.75 % Output :CNFRefutation 29.150000s
% 29.70/29.75 %-------------------------------------------
% 29.70/29.75 %------------------------------------------------------------------------------
% 29.70/29.75 % File : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% 29.70/29.75 % Domain : Ring Theory
% 29.70/29.75 % Problem : Cauchy-Bouniakowsky-Schwarz inequality 03, 00 expansion
% 29.70/29.75 % Version : Especial.
% 29.70/29.75 % English :
% 29.70/29.75
% 29.70/29.75 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 29.70/29.75 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 29.70/29.75 % Source : [Pas08]
% 29.70/29.75 % Names : cauchy_03.00 [Pas08]
% 29.70/29.75
% 29.70/29.75 % Status : Theorem
% 29.70/29.75 % Rating : 0.31 v7.5.0, 0.34 v7.4.0, 0.23 v7.3.0, 0.31 v7.2.0, 0.28 v7.1.0, 0.22 v7.0.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.32 v6.1.0, 0.40 v6.0.0, 0.26 v5.5.0, 0.48 v5.4.0, 0.54 v5.3.0, 0.59 v5.2.0, 0.50 v5.1.0, 0.62 v4.1.0, 0.70 v4.0.1, 0.78 v4.0.0
% 29.70/29.75 % Syntax : Number of formulae : 35 ( 3 unt; 1 def)
% 29.70/29.75 % Number of atoms : 133 ( 33 equ)
% 29.70/29.75 % Maximal formula atoms : 9 ( 3 avg)
% 29.70/29.75 % Number of connectives : 102 ( 4 ~; 1 |; 55 &)
% 29.70/29.75 % ( 1 <=>; 41 =>; 0 <=; 0 <~>)
% 29.70/29.75 % Maximal formula depth : 10 ( 5 avg)
% 29.70/29.75 % Maximal term depth : 4 ( 1 avg)
% 29.70/29.75 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 29.70/29.75 % Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% 29.70/29.75 % Number of variables : 60 ( 59 !; 1 ?)
% 29.70/29.75 % SPC : FOF_THM_RFO_SEQ
% 29.70/29.75
% 29.70/29.75 % Comments : Problem generated by the SAD system [VLP07]
% 29.70/29.75 %------------------------------------------------------------------------------
% 29.70/29.75 fof(mNatSort,axiom,
% 29.70/29.75 ! [W0] :
% 29.70/29.75 ( aNaturalNumber0(W0)
% 29.70/29.75 => $true ) ).
% 29.70/29.75
% 29.70/29.75 fof(mZeroNat,axiom,
% 29.70/29.75 aNaturalNumber0(sz00) ).
% 29.70/29.75
% 29.70/29.75 fof(mSuccNat,axiom,
% 29.70/29.75 ! [W0] :
% 29.70/29.75 ( aNaturalNumber0(W0)
% 29.70/29.75 => ( aNaturalNumber0(szszuzczcdt0(W0))
% 29.70/29.75 & szszuzczcdt0(W0) != sz00 ) ) ).
% 29.70/29.75
% 29.70/29.75 fof(mNatExtr,axiom,
% 29.70/29.75 ! [W0] :
% 29.70/29.76 ( ( aNaturalNumber0(W0)
% 29.70/29.76 & W0 != sz00 )
% 29.70/29.76 => ? [W1] :
% 29.70/29.76 ( aNaturalNumber0(W1)
% 29.70/29.76 & W0 = szszuzczcdt0(W1) ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mSuccEqu,axiom,
% 29.70/29.76 ! [W0,W1] :
% 29.70/29.76 ( ( aNaturalNumber0(W0)
% 29.70/29.76 & aNaturalNumber0(W1) )
% 29.70/29.76 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 29.70/29.76 => W0 = W1 ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mIHOrd,axiom,
% 29.70/29.76 ! [W0,W1] :
% 29.70/29.76 ( ( aNaturalNumber0(W0)
% 29.70/29.76 & aNaturalNumber0(W1) )
% 29.70/29.76 => ( iLess0(W0,W1)
% 29.70/29.76 => $true ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mIH,axiom,
% 29.70/29.76 ! [W0] :
% 29.70/29.76 ( aNaturalNumber0(W0)
% 29.70/29.76 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mScSort,axiom,
% 29.70/29.76 ! [W0] :
% 29.70/29.76 ( aScalar0(W0)
% 29.70/29.76 => $true ) ).
% 29.70/29.76
% 29.70/29.76 fof(mSZeroSc,axiom,
% 29.70/29.76 aScalar0(sz0z00) ).
% 29.70/29.76
% 29.70/29.76 fof(mSumSc,axiom,
% 29.70/29.76 ! [W0,W1] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1) )
% 29.70/29.76 => aScalar0(sdtpldt0(W0,W1)) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mMulSc,axiom,
% 29.70/29.76 ! [W0,W1] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1) )
% 29.70/29.76 => aScalar0(sdtasdt0(W0,W1)) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mNegSc,axiom,
% 29.70/29.76 ! [W0] :
% 29.70/29.76 ( aScalar0(W0)
% 29.70/29.76 => aScalar0(smndt0(W0)) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mScZero,axiom,
% 29.70/29.76 ! [W0] :
% 29.70/29.76 ( aScalar0(W0)
% 29.70/29.76 => ( sdtpldt0(W0,sz0z00) = W0
% 29.70/29.76 & sdtpldt0(sz0z00,W0) = W0
% 29.70/29.76 & sdtasdt0(W0,sz0z00) = sz0z00
% 29.70/29.76 & sdtasdt0(sz0z00,W0) = sz0z00
% 29.70/29.76 & sdtpldt0(W0,smndt0(W0)) = sz0z00
% 29.70/29.76 & sdtpldt0(smndt0(W0),W0) = sz0z00
% 29.70/29.76 & smndt0(smndt0(W0)) = W0
% 29.70/29.76 & smndt0(sz0z00) = sz0z00 ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mArith,axiom,
% 29.70/29.76 ! [W0,W1,W2] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1)
% 29.70/29.76 & aScalar0(W2) )
% 29.70/29.76 => ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
% 29.70/29.76 & sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
% 29.70/29.76 & sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
% 29.70/29.76 & sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mDistr,axiom,
% 29.70/29.76 ! [W0,W1,W2] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1)
% 29.70/29.76 & aScalar0(W2) )
% 29.70/29.76 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 29.70/29.76 & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mDistr2,axiom,
% 29.70/29.76 ! [W0,W1,W2,W3] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1)
% 29.70/29.76 & aScalar0(W2)
% 29.70/29.76 & aScalar0(W3) )
% 29.70/29.76 => sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mMNeg,axiom,
% 29.70/29.76 ! [W0,W1] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1) )
% 29.70/29.76 => ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
% 29.70/29.76 & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mMDNeg,axiom,
% 29.70/29.76 ! [W0,W1] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1) )
% 29.70/29.76 => sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mLess,axiom,
% 29.70/29.76 ! [W0,W1] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1) )
% 29.70/29.76 => ( sdtlseqdt0(W0,W1)
% 29.70/29.76 => $true ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mLERef,axiom,
% 29.70/29.76 ! [W0] :
% 29.70/29.76 ( aScalar0(W0)
% 29.70/29.76 => sdtlseqdt0(W0,W0) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mLEASm,axiom,
% 29.70/29.76 ! [W0,W1] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1) )
% 29.70/29.76 => ( ( sdtlseqdt0(W0,W1)
% 29.70/29.76 & sdtlseqdt0(W1,W0) )
% 29.70/29.76 => W0 = W1 ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mLETrn,axiom,
% 29.70/29.76 ! [W0,W1,W2] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1)
% 29.70/29.76 & aScalar0(W2) )
% 29.70/29.76 => ( ( sdtlseqdt0(W0,W1)
% 29.70/29.76 & sdtlseqdt0(W1,W2) )
% 29.70/29.76 => sdtlseqdt0(W0,W2) ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mLEMon,axiom,
% 29.70/29.76 ! [W0,W1,W2,W3] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1)
% 29.70/29.76 & aScalar0(W2)
% 29.70/29.76 & aScalar0(W3) )
% 29.70/29.76 => ( ( sdtlseqdt0(W0,W1)
% 29.70/29.76 & sdtlseqdt0(W2,W3) )
% 29.70/29.76 => sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mLEMonM,axiom,
% 29.70/29.76 ! [W0,W1,W2,W3] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1)
% 29.70/29.76 & aScalar0(W2)
% 29.70/29.76 & aScalar0(W3) )
% 29.70/29.76 => ( ( sdtlseqdt0(W0,W1)
% 29.70/29.76 & sdtlseqdt0(sz0z00,W2)
% 29.70/29.76 & sdtlseqdt0(W2,W3) )
% 29.70/29.76 => sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mLETot,axiom,
% 29.70/29.76 ! [W0,W1] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1) )
% 29.70/29.76 => ( sdtlseqdt0(W0,W1)
% 29.70/29.76 | sdtlseqdt0(W1,W0) ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mPosMon,axiom,
% 29.70/29.76 ! [W0,W1] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1) )
% 29.70/29.76 => ( ( sdtlseqdt0(sz0z00,W0)
% 29.70/29.76 & sdtlseqdt0(sz0z00,W1) )
% 29.70/29.76 => ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))
% 29.70/29.76 & sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mSqPos,axiom,
% 29.70/29.76 ! [W0] :
% 29.70/29.76 ( aScalar0(W0)
% 29.70/29.76 => sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mSqrt,axiom,
% 29.70/29.76 ! [W0,W1] :
% 29.70/29.76 ( ( aScalar0(W0)
% 29.70/29.76 & aScalar0(W1) )
% 29.70/29.76 => ( ( sdtlseqdt0(sz0z00,W0)
% 29.70/29.76 & sdtlseqdt0(sz0z00,W1)
% 29.70/29.76 & sdtasdt0(W0,W0) = sdtasdt0(W1,W1) )
% 29.70/29.76 => W0 = W1 ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mVcSort,axiom,
% 29.70/29.76 ! [W0] :
% 29.70/29.76 ( aVector0(W0)
% 29.70/29.76 => $true ) ).
% 29.70/29.76
% 29.70/29.76 fof(mDimNat,axiom,
% 29.70/29.76 ! [W0] :
% 29.70/29.76 ( aVector0(W0)
% 29.70/29.76 => aNaturalNumber0(aDimensionOf0(W0)) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mElmSc,axiom,
% 29.70/29.76 ! [W0,W1] :
% 29.70/29.76 ( ( aVector0(W0)
% 29.70/29.76 & aNaturalNumber0(W1) )
% 29.70/29.76 => aScalar0(sdtlbdtrb0(W0,W1)) ) ).
% 29.70/29.76
% 29.70/29.76 fof(mDefInit,definition,
% 29.70/29.76 ! [W0] :
% 29.70/29.76 ( aVector0(W0)
% 29.70/29.76 => ( aDimensionOf0(W0) != sz00
% 29.70/29.76 => ! [W1] :
% 29.70/29.76 ( W1 = sziznziztdt0(W0)
% 29.70/29.76 <=> ( aVector0(W1)
% 29.70/29.76 & szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)
% 29.70/29.76 & ! [W2] :
% 29.70/29.76 ( aNaturalNumber0(W2)
% 29.70/29.76 => sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ) ).
% 29.70/29.76
% 29.70/29.76 fof(m__1329,hypothesis,
% 29.70/29.76 ( aVector0(xs)
% 29.70/29.76 & aVector0(xt) ) ).
% 29.70/29.76
% 29.70/29.76 fof(m__1329_01,hypothesis,
% 29.70/29.76 ( aDimensionOf0(xs) = aDimensionOf0(xt)
% 29.70/29.76 & aDimensionOf0(xt) != sz00 ) ).
% 29.70/29.76
% 29.70/29.76 fof(m__,conjecture,
% 29.70/29.76 aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ).
% 29.70/29.76
% 29.70/29.76 %------------------------------------------------------------------------------
% 29.70/29.76 %-------------------------------------------
% 29.70/29.76 % Proof found
% 29.70/29.76 % SZS status Theorem for theBenchmark
% 29.70/29.76 % SZS output start Proof
% 29.70/29.76 %ClaNum:74(EqnAxiom:23)
% 29.70/29.76 %VarNum:260(SingletonVarNum:85)
% 29.70/29.76 %MaxLitNum:8
% 29.70/29.76 %MaxfuncDepth:3
% 29.70/29.76 %SharedTerms:19
% 29.70/29.76 %goalClause: 30
% 29.70/29.76 %singleGoalClaCount:1
% 29.70/29.76 [24]P1(a1)
% 29.70/29.76 [25]P2(a9)
% 29.70/29.76 [26]P3(a10)
% 29.70/29.76 [27]P3(a13)
% 29.70/29.76 [28]E(f2(a13),f2(a10))
% 29.70/29.76 [29]~E(f2(a13),a1)
% 29.70/29.76 [30]~E(f2(f11(a13)),f2(f11(a10)))
% 29.70/29.76 [43]~P2(x431)+P4(x431,x431)
% 29.70/29.76 [31]~P2(x311)+E(f3(a9),a9)
% 29.70/29.76 [32]~P1(x321)+~E(f12(x321),a1)
% 29.70/29.77 [33]~P1(x331)+P1(f12(x331))
% 29.70/29.77 [34]~P3(x341)+P1(f2(x341))
% 29.70/29.77 [35]~P2(x351)+P2(f3(x351))
% 29.70/29.77 [38]~P2(x381)+E(f5(x381,a9),a9)
% 29.70/29.77 [39]~P2(x391)+E(f5(a9,x391),a9)
% 29.70/29.77 [41]~P2(x411)+E(f7(x411,a9),x411)
% 29.70/29.77 [42]~P2(x421)+E(f7(a9,x421),x421)
% 29.70/29.77 [47]~P1(x471)+P5(x471,f12(x471))
% 29.70/29.77 [54]~P2(x541)+P4(a9,f5(x541,x541))
% 29.70/29.77 [36]~P2(x361)+E(f3(f3(x361)),x361)
% 29.70/29.77 [45]~P2(x451)+E(f7(x451,f3(x451)),a9)
% 29.70/29.77 [46]~P2(x461)+E(f7(f3(x461),x461),a9)
% 29.70/29.77 [37]~P1(x371)+E(x371,a1)+P1(f4(x371))
% 29.70/29.77 [40]~P1(x401)+E(x401,a1)+E(f12(f4(x401)),x401)
% 29.70/29.77 [51]~P2(x512)+~P2(x511)+P2(f7(x511,x512))
% 29.70/29.77 [52]~P2(x522)+~P2(x521)+P2(f5(x521,x522))
% 29.70/29.77 [53]~P1(x532)+~P3(x531)+P2(f8(x531,x532))
% 29.70/29.77 [57]~P2(x572)+~P2(x571)+E(f5(f3(x571),f3(x572)),f5(x571,x572))
% 29.70/29.77 [60]~P2(x602)+~P2(x601)+E(f3(f5(x601,x602)),f5(x601,f3(x602)))
% 29.70/29.77 [61]~P2(x612)+~P2(x611)+E(f3(f5(x611,x612)),f5(f3(x611),x612))
% 29.70/29.77 [50]P4(x502,x501)+~P2(x501)+~P2(x502)+P4(x501,x502)
% 29.70/29.77 [44]~P3(x441)+P3(x442)+~E(x442,f11(x441))+E(f2(x441),a1)
% 29.70/29.77 [48]~P1(x482)+~P1(x481)+E(x481,x482)+~E(f12(x481),f12(x482))
% 29.70/29.77 [49]~P3(x491)+~E(x492,f11(x491))+E(f2(x491),a1)+E(f12(f2(x492)),f2(x491))
% 29.70/29.77 [55]~P2(x552)+~P2(x551)+~P2(x553)+E(f7(x551,x552),f7(x552,x551))
% 29.70/29.77 [56]~P2(x562)+~P2(x561)+~P2(x563)+E(f5(x561,x562),f5(x562,x561))
% 29.70/29.77 [66]~P2(x663)+~P2(x662)+~P2(x661)+E(f7(f7(x661,x662),x663),f7(x661,f7(x662,x663)))
% 29.70/29.77 [67]~P2(x673)+~P2(x672)+~P2(x671)+E(f5(f5(x671,x672),x673),f5(x671,f5(x672,x673)))
% 29.70/29.77 [69]~P2(x693)+~P2(x692)+~P2(x691)+E(f7(f5(x691,x692),f5(x691,x693)),f5(x691,f7(x692,x693)))
% 29.70/29.77 [70]~P2(x702)+~P2(x703)+~P2(x701)+E(f7(f5(x701,x702),f5(x703,x702)),f5(f7(x701,x703),x702))
% 29.70/29.77 [59]~P2(x592)+~P2(x591)+~P4(x592,x591)+~P4(x591,x592)+E(x591,x592)
% 29.70/29.77 [64]~P2(x642)+~P2(x641)+~P4(a9,x642)+~P4(a9,x641)+P4(a9,f7(x641,x642))
% 29.70/29.77 [65]~P2(x652)+~P2(x651)+~P4(a9,x652)+~P4(a9,x651)+P4(a9,f5(x651,x652))
% 29.70/29.77 [58]~P1(x583)+~P3(x581)+~E(x582,f11(x581))+E(f8(x582,x583),f8(x581,x583))+E(f2(x581),a1)
% 29.70/29.77 [74]~P2(x743)+~P2(x742)+~P2(x744)+~P2(x741)+E(f7(f7(f5(x741,x742),f5(x741,x743)),f7(f5(x744,x742),f5(x744,x743))),f5(f7(x741,x744),f7(x742,x743)))
% 29.70/29.77 [68]~P2(x682)+~P2(x681)+E(x681,x682)+~E(f5(x681,x681),f5(x682,x682))+~P4(a9,x682)+~P4(a9,x681)
% 29.70/29.77 [62]~P3(x621)+~P3(x622)+E(x621,f11(x622))+E(f2(x622),a1)+P1(f6(x622,x621))+~E(f12(f2(x621)),f2(x622))
% 29.70/29.77 [73]~P3(x732)+~P3(x731)+E(x731,f11(x732))+E(f2(x732),a1)+~E(f12(f2(x731)),f2(x732))+~E(f8(x731,f6(x732,x731)),f8(x732,f6(x732,x731)))
% 29.70/29.77 [63]~P2(x632)+~P2(x631)+~P4(x633,x632)+~P4(x631,x633)+P4(x631,x632)+~P2(x633)
% 29.70/29.77 [71]~P2(x714)+~P2(x712)+~P2(x713)+~P2(x711)+~P4(x712,x714)+~P4(x711,x713)+P4(f7(x711,x712),f7(x713,x714))
% 29.70/29.77 [72]~P2(x724)+~P2(x722)+~P2(x723)+~P2(x721)+~P4(x722,x724)+~P4(x721,x723)+~P4(a9,x722)+P4(f5(x721,x722),f5(x723,x724))
% 29.70/29.77 %EqnAxiom
% 29.70/29.77 [1]E(x11,x11)
% 29.70/29.77 [2]E(x22,x21)+~E(x21,x22)
% 29.70/29.77 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 29.70/29.77 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 29.70/29.77 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53))
% 29.70/29.77 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62))
% 29.70/29.77 [7]~E(x71,x72)+E(f7(x71,x73),f7(x72,x73))
% 29.70/29.77 [8]~E(x81,x82)+E(f7(x83,x81),f7(x83,x82))
% 29.70/29.77 [9]~E(x91,x92)+E(f11(x91),f11(x92))
% 29.70/29.77 [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103))
% 29.70/29.77 [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112))
% 29.70/29.77 [12]~E(x121,x122)+E(f3(x121),f3(x122))
% 29.70/29.77 [13]~E(x131,x132)+E(f8(x131,x133),f8(x132,x133))
% 29.70/29.77 [14]~E(x141,x142)+E(f8(x143,x141),f8(x143,x142))
% 29.70/29.77 [15]~E(x151,x152)+E(f12(x151),f12(x152))
% 29.70/29.77 [16]~E(x161,x162)+E(f4(x161),f4(x162))
% 29.70/29.77 [17]~P1(x171)+P1(x172)+~E(x171,x172)
% 29.70/29.77 [18]~P2(x181)+P2(x182)+~E(x181,x182)
% 29.70/29.77 [19]~P3(x191)+P3(x192)+~E(x191,x192)
% 29.70/29.77 [20]P4(x202,x203)+~E(x201,x202)+~P4(x201,x203)
% 29.70/29.77 [21]P4(x213,x212)+~E(x211,x212)+~P4(x213,x211)
% 29.70/29.77 [22]P5(x222,x223)+~E(x221,x222)+~P5(x221,x223)
% 29.70/29.77 [23]P5(x233,x232)+~E(x231,x232)+~P5(x233,x231)
% 29.70/29.77
% 29.70/29.77 %-------------------------------------------
% 29.70/29.77 cnf(75,plain,
% 29.70/29.77 (E(f2(a10),f2(a13))),
% 29.70/29.77 inference(scs_inference,[],[28,2])).
% 29.70/29.77 cnf(76,plain,
% 29.70/29.77 (~E(f11(a13),f11(a10))),
% 29.70/29.77 inference(scs_inference,[],[30,28,2,4])).
% 29.70/29.77 cnf(77,plain,
% 29.70/29.77 (P4(a9,a9)),
% 29.70/29.77 inference(scs_inference,[],[30,25,28,2,4,50])).
% 29.70/29.77 cnf(78,plain,
% 29.70/29.77 (P4(f5(a9,a9),f5(a9,a9))),
% 29.70/29.77 inference(scs_inference,[],[30,25,28,2,4,50,72])).
% 29.70/29.77 cnf(79,plain,
% 29.70/29.77 (E(f3(a9),a9)),
% 29.70/29.77 inference(scs_inference,[],[30,25,28,2,4,50,72,31])).
% 29.70/29.77 cnf(83,plain,
% 29.70/29.77 (E(f7(a9,a9),a9)),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,28,2,4,50,72,31,47,42])).
% 29.70/29.77 cnf(85,plain,
% 29.70/29.77 (E(f5(a9,a9),a9)),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,28,2,4,50,72,31,47,42,39])).
% 29.70/29.77 cnf(87,plain,
% 29.70/29.77 (E(f3(f3(a9)),a9)),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,28,2,4,50,72,31,47,42,39,36])).
% 29.70/29.77 cnf(89,plain,
% 29.70/29.77 (P2(f3(a9))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,28,2,4,50,72,31,47,42,39,36,35])).
% 29.70/29.77 cnf(91,plain,
% 29.70/29.77 (P1(f2(a10))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34])).
% 29.70/29.77 cnf(93,plain,
% 29.70/29.77 (P1(f12(a1))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33])).
% 29.70/29.77 cnf(95,plain,
% 29.70/29.77 (~E(f12(a1),a1)),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32])).
% 29.70/29.77 cnf(97,plain,
% 29.70/29.77 (E(f4(f2(a13)),f4(f2(a10)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16])).
% 29.70/29.77 cnf(98,plain,
% 29.70/29.77 (E(f12(f2(a13)),f12(f2(a10)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15])).
% 29.70/29.77 cnf(99,plain,
% 29.70/29.77 (E(f8(x991,f2(a13)),f8(x991,f2(a10)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14])).
% 29.70/29.77 cnf(100,plain,
% 29.70/29.77 (E(f8(f2(a13),x1001),f8(f2(a10),x1001))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13])).
% 29.70/29.77 cnf(101,plain,
% 29.70/29.77 (E(f3(f2(a13)),f3(f2(a10)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12])).
% 29.70/29.77 cnf(102,plain,
% 29.70/29.77 (E(f6(x1021,f2(a13)),f6(x1021,f2(a10)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11])).
% 29.70/29.77 cnf(103,plain,
% 29.70/29.77 (E(f6(f2(a13),x1031),f6(f2(a10),x1031))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10])).
% 29.70/29.77 cnf(104,plain,
% 29.70/29.77 (E(f11(f2(a13)),f11(f2(a10)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9])).
% 29.70/29.77 cnf(105,plain,
% 29.70/29.77 (E(f7(x1051,f2(a13)),f7(x1051,f2(a10)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8])).
% 29.70/29.77 cnf(106,plain,
% 29.70/29.77 (E(f7(f2(a13),x1061),f7(f2(a10),x1061))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7])).
% 29.70/29.77 cnf(107,plain,
% 29.70/29.77 (E(f5(x1071,f2(a13)),f5(x1071,f2(a10)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6])).
% 29.70/29.77 cnf(108,plain,
% 29.70/29.77 (E(f5(f2(a13),x1081),f5(f2(a10),x1081))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5])).
% 29.70/29.77 cnf(109,plain,
% 29.70/29.77 (P4(a9,f5(a9,a9))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54])).
% 29.70/29.77 cnf(111,plain,
% 29.70/29.77 (E(f7(f3(a9),a9),a9)),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46])).
% 29.70/29.77 cnf(113,plain,
% 29.70/29.77 (E(f7(a9,f3(a9)),a9)),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45])).
% 29.70/29.77 cnf(116,plain,
% 29.70/29.77 (P1(f2(a13))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17])).
% 29.70/29.77 cnf(117,plain,
% 29.70/29.77 (~E(f2(a10),a1)),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3])).
% 29.70/29.77 cnf(118,plain,
% 29.70/29.77 (P2(f8(a10,a1))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53])).
% 29.70/29.77 cnf(120,plain,
% 29.70/29.77 (P2(f5(a9,a9))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52])).
% 29.70/29.77 cnf(122,plain,
% 29.70/29.77 (P2(f7(a9,a9))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51])).
% 29.70/29.77 cnf(124,plain,
% 29.70/29.77 (E(f12(f4(f2(a13))),f2(a13))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40])).
% 29.70/29.77 cnf(126,plain,
% 29.70/29.77 (P1(f4(f2(a13)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40,37])).
% 29.70/29.77 cnf(128,plain,
% 29.70/29.77 (E(f3(f5(a9,a9)),f5(f3(a9),a9))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40,37,61])).
% 29.70/29.77 cnf(130,plain,
% 29.70/29.77 (E(f3(f5(a9,a9)),f5(a9,f3(a9)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40,37,61,60])).
% 29.70/29.77 cnf(132,plain,
% 29.70/29.77 (E(f5(f3(a9),f3(a9)),f5(a9,a9))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40,37,61,60,57])).
% 29.70/29.77 cnf(134,plain,
% 29.70/29.77 (~E(f12(f2(a13)),f12(a1))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40,37,61,60,57,48])).
% 29.70/29.77 cnf(136,plain,
% 29.70/29.77 (E(f5(f5(a9,a9),a9),f5(a9,f5(a9,a9)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40,37,61,60,57,48,67])).
% 29.70/29.77 cnf(138,plain,
% 29.70/29.77 (E(f7(f7(a9,a9),a9),f7(a9,f7(a9,a9)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40,37,61,60,57,48,67,66])).
% 29.70/29.77 cnf(140,plain,
% 29.70/29.77 (E(f7(f5(a9,a9),f5(a9,a9)),f5(f7(a9,a9),a9))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40,37,61,60,57,48,67,66,70])).
% 29.70/29.77 cnf(142,plain,
% 29.70/29.77 (E(f7(f5(a9,a9),f5(a9,a9)),f5(a9,f7(a9,a9)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40,37,61,60,57,48,67,66,70,69])).
% 29.70/29.77 cnf(144,plain,
% 29.70/29.77 (P4(a9,f5(f5(a9,a9),f5(a9,a9)))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40,37,61,60,57,48,67,66,70,69,65])).
% 29.70/29.77 cnf(146,plain,
% 29.70/29.77 (P4(a9,f7(a9,a9))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40,37,61,60,57,48,67,66,70,69,65,64])).
% 29.70/29.77 cnf(150,plain,
% 29.70/29.77 (P4(f7(a9,a9),f7(a9,a9))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40,37,61,60,57,48,67,66,70,69,65,64,74,71])).
% 29.70/29.77 cnf(152,plain,
% 29.70/29.77 (~P5(x1521,f2(a13))+P5(x1521,f2(a10))),
% 29.70/29.77 inference(scs_inference,[],[30,24,25,26,29,28,2,4,50,72,31,47,42,39,36,35,34,33,32,16,15,14,13,12,11,10,9,8,7,6,5,54,46,45,19,17,3,53,52,51,40,37,61,60,57,48,67,66,70,69,65,64,74,71,23])).
% 29.70/29.77 cnf(166,plain,
% 29.70/29.77 (~P2(x1661)+~P2(x1662)+E(f7(x1662,x1661),f7(x1661,x1662))),
% 29.70/29.77 inference(scs_inference,[],[25,55])).
% 29.70/29.77 cnf(167,plain,
% 29.70/29.77 (~P2(x1671)+~P2(x1672)+E(f5(x1672,x1671),f5(x1671,x1672))),
% 29.70/29.77 inference(scs_inference,[],[25,56])).
% 29.70/29.77 cnf(168,plain,
% 29.70/29.77 (P4(f3(a9),f3(a9))),
% 29.70/29.77 inference(scs_inference,[],[89,43])).
% 29.70/29.77 cnf(172,plain,
% 29.70/29.77 (E(f5(f5(a9,a9),a9),a9)),
% 29.70/29.77 inference(scs_inference,[],[120,89,43,41,38])).
% 29.70/29.77 cnf(174,plain,
% 29.70/29.77 (P2(f8(a13,a1))),
% 29.70/29.77 inference(scs_inference,[],[27,24,120,89,43,41,38,53])).
% 29.70/29.77 cnf(176,plain,
% 29.70/29.77 (P2(f7(f5(a9,a9),f5(a9,a9)))),
% 29.70/29.77 inference(scs_inference,[],[27,24,120,89,43,41,38,53,51])).
% 29.70/29.77 cnf(178,plain,
% 29.70/29.77 (E(f12(f4(f2(a10))),f2(a10))),
% 29.70/29.77 inference(scs_inference,[],[27,24,120,89,91,117,43,41,38,53,51,40])).
% 29.70/29.77 cnf(180,plain,
% 29.70/29.77 (E(f3(f5(f5(a9,a9),f5(a9,a9))),f5(f5(a9,a9),f3(f5(a9,a9))))),
% 29.70/29.77 inference(scs_inference,[],[27,24,120,89,91,117,43,41,38,53,51,40,60])).
% 29.70/29.77 cnf(182,plain,
% 29.70/29.77 (E(f5(f3(f5(a9,a9)),f3(f5(a9,a9))),f5(f5(a9,a9),f5(a9,a9)))),
% 29.70/29.77 inference(scs_inference,[],[27,24,120,89,91,117,43,41,38,53,51,40,60,57])).
% 29.70/29.77 cnf(184,plain,
% 29.70/29.77 (P4(a9,f5(f5(a9,a9),a9))),
% 29.70/29.77 inference(scs_inference,[],[27,24,25,120,77,109,89,91,117,43,41,38,53,51,40,60,57,65])).
% 29.70/29.77 cnf(186,plain,
% 29.70/29.77 (P4(f7(f7(a9,a9),a9),f7(f7(a9,a9),a9))),
% 29.70/29.77 inference(scs_inference,[],[27,24,25,150,120,122,77,109,89,91,117,43,41,38,53,51,40,60,57,65,71])).
% 29.70/29.77 cnf(188,plain,
% 29.70/29.77 (~E(f2(f11(a10)),f2(f11(a13)))),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,25,150,120,122,77,109,89,91,117,43,41,38,53,51,40,60,57,65,71,2])).
% 29.70/29.77 cnf(189,plain,
% 29.70/29.77 (P4(f7(a9,a9),a9)),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,25,150,120,122,77,109,83,89,91,117,43,41,38,53,51,40,60,57,65,71,2,21])).
% 29.70/29.77 cnf(190,plain,
% 29.70/29.77 (P4(a9,f3(a9))),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,25,150,120,122,77,109,83,89,91,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20])).
% 29.70/29.77 cnf(194,plain,
% 29.70/29.77 (P2(f5(f5(a9,a9),f5(a9,a9)))),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,25,150,120,99,100,122,77,109,83,89,91,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52])).
% 29.70/29.77 cnf(196,plain,
% 29.70/29.77 (P1(f4(f2(a10)))),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,25,150,120,99,100,122,77,109,83,89,91,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52,37])).
% 29.70/29.77 cnf(198,plain,
% 29.70/29.77 (E(f3(f5(f5(a9,a9),f5(a9,a9))),f5(f3(f5(a9,a9)),f5(a9,a9)))),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,25,150,120,99,100,122,77,109,83,89,91,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52,37,61])).
% 29.70/29.77 cnf(200,plain,
% 29.70/29.77 (E(f5(f5(f5(a9,a9),f5(a9,a9)),f5(a9,a9)),f5(f5(a9,a9),f5(f5(a9,a9),f5(a9,a9))))),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,25,150,120,99,100,122,77,109,83,89,91,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52,37,61,67])).
% 29.70/29.77 cnf(202,plain,
% 29.70/29.77 (E(f7(f7(f5(a9,a9),f5(a9,a9)),f5(a9,a9)),f7(f5(a9,a9),f7(f5(a9,a9),f5(a9,a9))))),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,25,150,120,99,100,122,77,109,83,89,91,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52,37,61,67,66])).
% 29.70/29.77 cnf(204,plain,
% 29.70/29.77 (E(f7(f5(f5(a9,a9),f5(a9,a9)),f5(f5(a9,a9),f5(a9,a9))),f5(f7(f5(a9,a9),f5(a9,a9)),f5(a9,a9)))),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,25,150,120,99,100,122,77,109,83,89,91,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52,37,61,67,66,70])).
% 29.70/29.77 cnf(206,plain,
% 29.70/29.77 (P4(a9,f7(f5(a9,a9),a9))),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,25,150,120,99,100,122,77,109,83,89,91,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52,37,61,67,66,70,64])).
% 29.70/29.77 cnf(208,plain,
% 29.70/29.77 (~E(a13,a10)),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,25,150,120,99,100,122,77,109,83,76,89,91,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52,37,61,67,66,70,64,9])).
% 29.70/29.77 cnf(210,plain,
% 29.70/29.77 (~E(a9,x2101)+P2(x2101)),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,28,25,150,120,99,100,122,77,109,83,76,89,91,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52,37,61,67,66,70,64,9,4,18])).
% 29.70/29.77 cnf(211,plain,
% 29.70/29.77 (E(f5(a9,x2111),f5(x2111,a9))+~E(a9,x2111)),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,28,25,150,120,99,100,122,77,109,83,76,89,91,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52,37,61,67,66,70,64,9,4,18,167])).
% 29.70/29.77 cnf(213,plain,
% 29.70/29.77 (E(f7(a9,x2131),f7(x2131,a9))+~E(a9,x2131)),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,28,25,150,120,99,100,122,77,109,83,76,89,91,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52,37,61,67,66,70,64,9,4,18,167,166])).
% 29.70/29.77 cnf(215,plain,
% 29.70/29.77 (~E(a9,x2151)+E(f7(f5(x2151,a9),f5(x2151,a9)),f5(x2151,f7(a9,a9)))),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,28,25,150,120,99,100,122,77,109,83,76,89,91,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52,37,61,67,66,70,64,9,4,18,167,166,69])).
% 29.70/29.77 cnf(217,plain,
% 29.70/29.77 (~E(a9,x2171)+P4(f5(f7(a9,a9),f7(a9,a9)),f5(f7(a9,a9),f7(a9,a9)))),
% 29.70/29.77 inference(scs_inference,[],[30,27,24,28,25,150,120,99,100,122,77,109,83,76,89,91,146,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52,37,61,67,66,70,64,9,4,18,167,166,69,72])).
% 29.70/29.77 cnf(221,plain,
% 29.70/29.77 (~E(a9,x2211)+~E(x2212,f11(a13))+E(f12(f2(x2212)),f2(a13))),
% 29.70/29.77 inference(scs_inference,[],[30,27,29,24,28,25,150,120,99,100,122,77,109,83,76,89,91,146,117,79,43,41,38,53,51,40,60,57,65,71,2,21,20,3,52,37,61,67,66,70,64,9,4,18,167,166,69,72,74,49])).
% 29.70/29.77 cnf(234,plain,
% 29.70/29.77 (P4(f5(f7(a9,a9),f7(a9,a9)),f5(f7(a9,a9),f7(a9,a9)))),
% 29.70/29.77 inference(equality_inference,[],[217])).
% 29.70/29.77 cnf(236,plain,
% 29.70/29.77 (E(a9,f7(a9,a9))),
% 29.70/29.77 inference(scs_inference,[],[25,189,146,122,59])).
% 29.70/29.77 cnf(238,plain,
% 29.70/29.77 (P4(f7(f3(a9),f3(a9)),f7(f3(a9),f3(a9)))),
% 29.70/29.77 inference(scs_inference,[],[25,168,189,146,89,122,59,71])).
% 29.70/29.77 cnf(244,plain,
% 29.70/29.77 (E(f5(f5(f8(a10,a1),f8(a10,a1)),f8(a10,a1)),f5(f8(a10,a1),f5(f8(a10,a1),f8(a10,a1))))),
% 29.70/29.77 inference(scs_inference,[],[25,194,168,118,144,189,146,89,122,77,59,71,65,72,67])).
% 29.70/29.77 cnf(246,plain,
% 29.70/29.77 (E(f7(f5(f8(a10,a1),f8(a10,a1)),f5(f8(a10,a1),f8(a10,a1))),f5(f7(f8(a10,a1),f8(a10,a1)),f8(a10,a1)))),
% 29.70/29.77 inference(scs_inference,[],[25,194,168,118,144,189,146,89,122,77,59,71,65,72,67,70])).
% 29.70/29.77 cnf(249,plain,
% 29.70/29.77 (E(f7(f7(f8(a10,a1),f8(a10,a1)),f8(a10,a1)),f7(f8(a10,a1),f7(f8(a10,a1),f8(a10,a1))))),
% 29.70/29.77 inference(scs_inference,[],[25,202,194,168,118,144,189,146,89,122,77,59,71,65,72,67,70,2,66])).
% 29.70/29.77 cnf(251,plain,
% 29.70/29.77 (P4(a9,f7(f5(f5(a9,a9),f5(a9,a9)),f5(f5(a9,a9),f5(a9,a9))))),
% 29.70/29.77 inference(scs_inference,[],[25,202,194,168,118,144,189,146,89,122,77,59,71,65,72,67,70,2,66,64])).
% 29.70/29.77 cnf(254,plain,
% 29.70/29.77 (~E(f11(a10),f11(a13))),
% 29.70/29.77 inference(scs_inference,[],[75,25,202,194,168,188,118,144,189,146,89,122,77,59,71,65,72,67,70,2,66,64,9,4])).
% 29.70/29.77 cnf(258,plain,
% 29.70/29.77 (P3(x2581)+~E(x2581,f11(a13))),
% 29.70/29.77 inference(scs_inference,[],[75,27,29,25,202,194,102,103,168,188,118,144,189,146,89,122,77,59,71,65,72,67,70,2,66,64,9,4,3,44])).
% 29.70/29.77 cnf(277,plain,
% 29.70/29.77 (P3(f11(a13))),
% 29.70/29.77 inference(equality_inference,[],[258])).
% 29.70/29.77 cnf(281,plain,
% 29.70/29.77 (E(f12(f2(x2811)),f2(a13))+~E(x2811,f11(a13))),
% 29.70/29.77 inference(scs_inference,[],[236,221])).
% 29.70/29.77 cnf(282,plain,
% 29.70/29.77 (P4(f5(f3(a9),f3(a9)),f5(f3(a9),f3(a9)))),
% 29.70/29.77 inference(scs_inference,[],[190,168,89,72])).
% 29.70/29.77 cnf(286,plain,
% 29.70/29.77 (E(f7(f8(a13,a1),a9),f8(a13,a1))),
% 29.70/29.77 inference(scs_inference,[],[25,174,189,190,168,150,122,89,72,71,41])).
% 29.70/29.77 cnf(288,plain,
% 29.70/29.77 (~E(a1,f2(a13))),
% 29.70/29.77 inference(scs_inference,[],[29,25,174,189,190,168,150,122,89,72,71,41,2])).
% 29.70/29.77 cnf(289,plain,
% 29.70/29.77 (~E(a10,a13)),
% 29.70/29.77 inference(scs_inference,[],[29,25,174,254,189,190,168,150,122,89,72,71,41,2,9])).
% 29.70/29.77 cnf(291,plain,
% 29.70/29.77 (~E(f12(f2(a10)),f12(a1))),
% 29.70/29.77 inference(scs_inference,[],[75,29,25,98,174,254,134,189,190,168,150,122,89,72,71,41,2,9,4,3])).
% 29.70/29.77 cnf(306,plain,
% 29.70/29.77 (E(f12(f2(f11(a13))),f2(a13))),
% 29.70/29.77 inference(equality_inference,[],[281])).
% 29.70/29.77 cnf(307,plain,
% 29.70/29.77 (P4(f5(f7(a9,a9),f7(a9,a9)),f5(f7(a9,a9),a9))),
% 29.70/29.77 inference(scs_inference,[],[25,146,189,150,122,72])).
% 29.70/29.77 cnf(309,plain,
% 29.70/29.77 (P4(a9,f5(f7(f5(a9,a9),f5(a9,a9)),f5(a9,a9)))),
% 29.70/29.77 inference(scs_inference,[],[25,204,251,146,189,150,122,72,21])).
% 29.70/29.77 cnf(310,plain,
% 29.70/29.77 (P4(f5(a9,a9),f5(f3(a9),f3(a9)))),
% 29.70/29.77 inference(scs_inference,[],[25,282,204,132,251,146,189,150,122,72,21,20])).
% 29.70/29.77 cnf(313,plain,
% 29.70/29.77 (E(f5(f3(a9),f3(a9)),a9)),
% 29.70/29.77 inference(scs_inference,[],[25,282,200,204,140,132,251,85,146,189,150,122,72,21,20,2,9,3])).
% 29.70/29.77 cnf(314,plain,
% 29.70/29.77 (P5(f4(f2(a13)),f12(f4(f2(a13))))),
% 29.70/29.77 inference(scs_inference,[],[25,282,200,204,140,132,126,251,85,146,189,150,122,72,21,20,2,9,3,47])).
% 29.70/29.77 cnf(318,plain,
% 29.70/29.77 (E(f3(f3(f8(a13,a1))),f8(a13,a1))),
% 29.70/29.78 inference(scs_inference,[],[25,282,200,204,140,132,126,251,176,85,174,146,189,150,122,72,21,20,2,9,3,47,42,36])).
% 29.70/29.78 cnf(320,plain,
% 29.70/29.78 (P1(f2(f11(a13)))),
% 29.70/29.78 inference(scs_inference,[],[25,282,200,204,140,132,126,251,176,85,174,277,146,189,150,122,72,21,20,2,9,3,47,42,36,34])).
% 29.70/29.78 cnf(322,plain,
% 29.70/29.78 (P1(f12(f4(f2(a13))))),
% 29.70/29.78 inference(scs_inference,[],[25,282,200,204,140,132,126,251,176,85,174,277,146,189,150,122,72,21,20,2,9,3,47,42,36,34,33])).
% 29.70/29.78 cnf(326,plain,
% 29.70/29.78 (~E(x3261,f11(a10))+E(f12(f2(x3261)),f2(a10))),
% 29.70/29.78 inference(scs_inference,[],[25,26,282,200,204,140,132,126,251,176,85,174,277,146,189,117,150,122,72,21,20,2,9,3,47,42,36,34,33,46,49])).
% 29.70/29.78 cnf(362,plain,
% 29.70/29.78 (E(f12(f2(f11(a10))),f2(a10))),
% 29.70/29.78 inference(equality_inference,[],[326])).
% 29.70/29.78 cnf(366,plain,
% 29.70/29.78 (P2(f5(a9,f7(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[142,118,176,41,18])).
% 29.70/29.78 cnf(367,plain,
% 29.70/29.78 (P4(f5(a9,a9),a9)),
% 29.70/29.78 inference(scs_inference,[],[310,313,142,118,176,41,18,21])).
% 29.70/29.78 cnf(368,plain,
% 29.70/29.78 (P4(a9,f5(f3(a9),f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[310,313,142,85,118,176,41,18,21,20])).
% 29.70/29.78 cnf(369,plain,
% 29.70/29.78 (~E(a1,f12(a1))),
% 29.70/29.78 inference(scs_inference,[],[310,313,95,142,85,118,176,41,18,21,20,2])).
% 29.70/29.78 cnf(370,plain,
% 29.70/29.78 (~E(a1,f2(a10))),
% 29.70/29.78 inference(scs_inference,[],[75,310,313,95,288,142,85,118,176,41,18,21,20,2,3])).
% 29.70/29.78 cnf(373,plain,
% 29.70/29.78 (P4(f8(a10,a1),f8(a10,a1))),
% 29.70/29.78 inference(scs_inference,[],[75,310,313,95,288,142,85,118,176,41,18,21,20,2,3,38,43])).
% 29.70/29.78 cnf(377,plain,
% 29.70/29.78 (E(f12(f4(f12(a1))),f12(a1))),
% 29.70/29.78 inference(scs_inference,[],[27,75,310,322,313,95,288,142,93,85,118,176,41,18,21,20,2,3,38,43,53,40])).
% 29.70/29.78 cnf(379,plain,
% 29.70/29.78 (P2(f7(f8(a10,a1),f8(a10,a1)))),
% 29.70/29.78 inference(scs_inference,[],[27,75,310,322,313,95,288,142,93,85,118,176,41,18,21,20,2,3,38,43,53,40,51])).
% 29.70/29.78 cnf(381,plain,
% 29.70/29.78 (E(f3(f5(f8(a10,a1),f8(a10,a1))),f5(f8(a10,a1),f3(f8(a10,a1))))),
% 29.70/29.78 inference(scs_inference,[],[27,75,310,322,313,95,288,142,93,85,118,176,41,18,21,20,2,3,38,43,53,40,51,60])).
% 29.70/29.78 cnf(383,plain,
% 29.70/29.78 (P1(f4(f12(a1)))),
% 29.70/29.78 inference(scs_inference,[],[27,75,310,322,313,95,288,142,93,85,118,176,41,18,21,20,2,3,38,43,53,40,51,60,37])).
% 29.70/29.78 cnf(385,plain,
% 29.70/29.78 (E(f5(f3(f8(a10,a1)),f3(f8(a10,a1))),f5(f8(a10,a1),f8(a10,a1)))),
% 29.70/29.78 inference(scs_inference,[],[27,75,310,322,313,95,288,142,93,85,118,176,41,18,21,20,2,3,38,43,53,40,51,60,37,57])).
% 29.70/29.78 cnf(394,plain,
% 29.70/29.78 (~P2(f5(f7(a9,a9),f7(a9,a9)))+~P4(a9,f5(f7(a9,a9),f7(a9,a9)))+P4(a9,f5(f7(a9,a9),a9))+~P2(f5(f7(a9,a9),a9))+~E(f12(f2(f11(a13))),f2(a10))),
% 29.70/29.78 inference(scs_inference,[],[25,76,27,26,75,310,307,322,309,313,95,288,142,93,85,277,118,117,176,77,24,41,18,21,20,2,3,38,43,53,40,51,60,37,57,73,13,48,65,63])).
% 29.70/29.78 cnf(404,plain,
% 29.70/29.78 (P2(f8(a10,f4(f2(a10))))),
% 29.70/29.78 inference(scs_inference,[],[26,196,53])).
% 29.70/29.78 cnf(408,plain,
% 29.70/29.78 (E(f3(f5(f8(a13,a1),f8(a13,a1))),f5(f8(a13,a1),f3(f8(a13,a1))))),
% 29.70/29.78 inference(scs_inference,[],[26,379,196,174,53,51,60])).
% 29.70/29.78 cnf(410,plain,
% 29.70/29.78 (E(f4(f12(a1)),a1)),
% 29.70/29.78 inference(scs_inference,[],[26,379,196,383,377,174,24,53,51,60,48])).
% 29.70/29.78 cnf(413,plain,
% 29.70/29.78 (P5(f4(f2(a10)),f12(f4(f2(a13))))),
% 29.70/29.78 inference(scs_inference,[],[26,379,124,314,196,383,377,97,174,24,53,51,60,48,23,22])).
% 29.70/29.78 cnf(414,plain,
% 29.70/29.78 (P2(f5(f7(f8(a10,a1),f8(a10,a1)),f7(f8(a10,a1),f8(a10,a1))))),
% 29.70/29.78 inference(scs_inference,[],[26,379,124,314,196,383,377,97,174,24,53,51,60,48,23,22,52])).
% 29.70/29.78 cnf(418,plain,
% 29.70/29.78 (P4(a9,f7(f3(a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[26,77,379,124,314,196,383,377,97,190,174,89,24,25,53,51,60,48,23,22,52,57,64])).
% 29.70/29.78 cnf(420,plain,
% 29.70/29.78 (E(f3(f5(f8(a13,a1),f8(a13,a1))),f5(f3(f8(a13,a1)),f8(a13,a1)))),
% 29.70/29.78 inference(scs_inference,[],[26,77,379,124,314,196,383,377,97,190,174,89,24,25,53,51,60,48,23,22,52,57,64,61])).
% 29.70/29.78 cnf(422,plain,
% 29.70/29.78 (P4(f5(f7(a9,a9),a9),f5(f7(a9,a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[26,77,379,124,314,196,383,377,97,190,174,150,89,122,24,25,53,51,60,48,23,22,52,57,64,61,72])).
% 29.70/29.78 cnf(425,plain,
% 29.70/29.78 (P2(f5(f7(a9,a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[26,77,75,379,124,314,196,383,377,97,140,190,174,150,89,122,176,24,25,53,51,60,48,23,22,52,57,64,61,72,13,18])).
% 29.70/29.78 cnf(426,plain,
% 29.70/29.78 (E(f8(a13,a1),f3(f3(f8(a13,a1))))),
% 29.70/29.78 inference(scs_inference,[],[26,77,75,318,379,124,314,196,383,377,97,140,190,174,150,89,122,176,24,25,53,51,60,48,23,22,52,57,64,61,72,13,18,2])).
% 29.70/29.78 cnf(427,plain,
% 29.70/29.78 (~E(a1,f12(f4(f12(a1))))),
% 29.70/29.78 inference(scs_inference,[],[26,77,75,318,379,124,314,196,383,377,369,97,140,190,174,150,89,122,176,24,25,53,51,60,48,23,22,52,57,64,61,72,13,18,2,3])).
% 29.70/29.78 cnf(428,plain,
% 29.70/29.78 (E(f7(f5(f7(a9,a9),a9),f5(f7(a9,a9),a9)),f5(f7(a9,a9),f7(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[26,77,75,318,379,124,314,196,383,377,369,236,97,140,190,174,150,89,122,176,24,25,53,51,60,48,23,22,52,57,64,61,72,13,18,2,3,215])).
% 29.70/29.78 cnf(430,plain,
% 29.70/29.78 (E(f5(a9,f7(a9,a9)),f5(f7(a9,a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[26,77,75,318,379,124,314,196,383,377,369,236,97,140,190,174,150,89,122,176,24,25,53,51,60,48,23,22,52,57,64,61,72,13,18,2,3,215,211])).
% 29.70/29.78 cnf(432,plain,
% 29.70/29.78 (E(f7(a9,f7(a9,a9)),f7(f7(a9,a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[26,77,75,318,379,124,314,196,383,377,369,236,97,140,190,174,150,89,122,176,24,25,53,51,60,48,23,22,52,57,64,61,72,13,18,2,3,215,211,213])).
% 29.70/29.78 cnf(436,plain,
% 29.70/29.78 (P4(f7(a9,a9),f7(f3(a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[26,76,77,75,318,379,124,314,196,383,377,369,236,97,140,190,174,277,150,89,117,122,176,24,25,53,51,60,48,23,22,52,57,64,61,72,13,18,2,3,215,211,213,62,71])).
% 29.70/29.78 cnf(438,plain,
% 29.70/29.78 (P5(f4(f2(a13)),f2(a10))),
% 29.70/29.78 inference(scs_inference,[],[26,76,77,75,318,379,124,314,196,383,377,369,236,97,140,190,174,277,150,89,117,122,176,24,25,53,51,60,48,23,22,52,57,64,61,72,13,18,2,3,215,211,213,62,71,152])).
% 29.70/29.78 cnf(440,plain,
% 29.70/29.78 (P3(x4401)+~E(x4401,f11(a10))),
% 29.70/29.78 inference(scs_inference,[],[26,76,77,75,318,379,124,314,196,383,377,369,236,97,140,190,174,277,150,89,117,122,176,24,25,53,51,60,48,23,22,52,57,64,61,72,13,18,2,3,215,211,213,62,71,152,394,44])).
% 29.70/29.78 cnf(442,plain,
% 29.70/29.78 (E(f5(f5(f8(a13,a1),f8(a13,a1)),f8(a13,a1)),f5(f8(a13,a1),f5(f8(a13,a1),f8(a13,a1))))),
% 29.70/29.78 inference(scs_inference,[],[26,76,77,75,318,379,124,314,196,383,377,369,236,97,140,190,174,277,150,89,117,122,176,24,25,53,51,60,48,23,22,52,57,64,61,72,13,18,2,3,215,211,213,62,71,152,394,44,67])).
% 29.70/29.78 cnf(444,plain,
% 29.70/29.78 (E(f7(f5(f8(a13,a1),f8(a13,a1)),f5(f8(a13,a1),f8(a13,a1))),f5(f7(f8(a13,a1),f8(a13,a1)),f8(a13,a1)))),
% 29.70/29.78 inference(scs_inference,[],[26,76,77,75,318,379,124,314,196,383,377,369,236,97,140,190,174,277,150,89,117,122,176,24,25,53,51,60,48,23,22,52,57,64,61,72,13,18,2,3,215,211,213,62,71,152,394,44,67,70])).
% 29.70/29.78 cnf(452,plain,
% 29.70/29.78 (P3(f11(a10))),
% 29.70/29.78 inference(equality_inference,[],[440])).
% 29.70/29.78 cnf(454,plain,
% 29.70/29.78 (E(f5(f5(f7(a9,a9),f7(a9,a9)),f7(a9,a9)),f5(f7(a9,a9),f5(f7(a9,a9),f7(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[122,67])).
% 29.70/29.78 cnf(456,plain,
% 29.70/29.78 (E(f7(f5(f7(a9,a9),f7(a9,a9)),f5(f7(a9,a9),f7(a9,a9))),f5(f7(f7(a9,a9),f7(a9,a9)),f7(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[122,67,70])).
% 29.70/29.78 cnf(458,plain,
% 29.70/29.78 (~E(f12(a1),f12(f2(a13)))),
% 29.70/29.78 inference(scs_inference,[],[116,288,122,24,67,70,48])).
% 29.70/29.78 cnf(460,plain,
% 29.70/29.78 (E(f7(f7(f7(a9,a9),f7(a9,a9)),f7(a9,a9)),f7(f7(a9,a9),f7(f7(a9,a9),f7(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[116,288,122,24,67,70,48,66])).
% 29.70/29.78 cnf(475,plain,
% 29.70/29.78 (P5(f4(f2(a10)),f2(a13))+~P4(f5(a9,f7(a9,a9)),f5(a9,f7(a9,a9)))+E(f8(f11(x4751),f2(f11(a13))),f8(a13,f2(f11(a13))))),
% 29.70/29.78 inference(scs_inference,[],[76,27,29,77,75,422,425,366,178,413,320,427,116,124,288,122,24,25,67,70,48,66,72,2,3,58,9,68,19,17,63,23])).
% 29.70/29.78 cnf(485,plain,
% 29.70/29.78 (P4(a9,f5(f7(a9,a9),f7(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[146,122,65])).
% 29.70/29.78 cnf(487,plain,
% 29.70/29.78 (E(f5(f5(f3(a9),f3(a9)),f3(a9)),f5(f3(a9),f5(f3(a9),f3(a9))))),
% 29.70/29.78 inference(scs_inference,[],[146,89,122,65,67])).
% 29.70/29.78 cnf(491,plain,
% 29.70/29.78 (E(f7(f5(f3(a9),f3(a9)),f5(f3(a9),f3(a9))),f5(f7(f3(a9),f3(a9)),f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[370,91,146,89,122,24,65,67,48,70])).
% 29.70/29.78 cnf(493,plain,
% 29.70/29.78 (E(f7(f7(f3(a9),f3(a9)),f3(a9)),f7(f3(a9),f7(f3(a9),f3(a9))))),
% 29.70/29.78 inference(scs_inference,[],[370,91,146,89,122,24,65,67,48,70,66])).
% 29.70/29.78 cnf(495,plain,
% 29.70/29.78 (P4(a9,f5(a9,f5(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[136,370,184,91,146,89,122,24,65,67,48,70,66,21])).
% 29.70/29.78 cnf(496,plain,
% 29.70/29.78 (P4(f7(a9,f7(a9,a9)),f7(f7(a9,a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[136,138,370,186,184,91,146,89,122,24,65,67,48,70,66,21,20])).
% 29.70/29.78 cnf(497,plain,
% 29.70/29.78 (E(f11(f5(a9,f7(a9,a9))),f11(f5(f7(a9,a9),a9)))),
% 29.70/29.78 inference(scs_inference,[],[430,136,138,370,186,184,91,146,89,122,24,65,67,48,70,66,21,20,9])).
% 29.70/29.78 cnf(498,plain,
% 29.70/29.78 (P2(f3(f3(f8(a13,a1))))),
% 29.70/29.78 inference(scs_inference,[],[426,430,136,138,370,186,184,91,146,89,174,122,24,65,67,48,70,66,21,20,9,18])).
% 29.70/29.78 cnf(501,plain,
% 29.70/29.78 (P5(f4(f12(a1)),f12(f4(f12(a1))))),
% 29.70/29.78 inference(scs_inference,[],[454,426,430,136,138,286,370,186,184,383,91,146,89,174,122,24,65,67,48,70,66,21,20,9,18,2,3,47])).
% 29.70/29.78 cnf(505,plain,
% 29.70/29.78 (E(f3(f3(f3(a9))),f3(a9))),
% 29.70/29.78 inference(scs_inference,[],[454,426,430,136,138,286,370,186,184,322,383,91,146,89,174,122,24,65,67,48,70,66,21,20,9,18,2,3,47,33,36])).
% 29.70/29.78 cnf(511,plain,
% 29.70/29.78 (P1(f2(f11(a10)))),
% 29.70/29.78 inference(scs_inference,[],[454,426,430,136,138,286,404,452,370,186,184,366,322,383,91,146,89,174,122,24,65,67,48,70,66,21,20,9,18,2,3,47,33,36,35,46,34])).
% 29.70/29.78 cnf(513,plain,
% 29.70/29.78 (~E(f12(f12(f4(f2(a13)))),a1)),
% 29.70/29.78 inference(scs_inference,[],[454,426,430,136,138,286,404,452,370,186,184,366,322,383,91,146,89,174,122,24,65,67,48,70,66,21,20,9,18,2,3,47,33,36,35,46,34,32])).
% 29.70/29.78 cnf(526,plain,
% 29.70/29.78 (P4(a9,f5(f5(a9,f7(a9,a9)),f5(a9,f7(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[75,454,426,430,136,138,286,404,452,370,186,184,366,322,383,91,146,89,174,122,24,65,67,48,70,66,21,20,9,18,2,3,47,33,36,35,46,34,32,45,42,39,12,10,8,7,5,54])).
% 29.70/29.78 cnf(531,plain,
% 29.70/29.78 (E(f8(x5311,f2(a10)),f8(x5311,f2(a13)))),
% 29.70/29.78 inference(scs_inference,[],[75,454,426,430,136,138,286,404,452,370,186,184,366,322,383,91,146,89,174,122,24,65,67,48,70,66,21,20,9,18,2,3,47,33,36,35,46,34,32,45,42,39,12,10,8,7,5,54,50,16,14])).
% 29.70/29.78 cnf(534,plain,
% 29.70/29.78 (E(f12(f2(a10)),f12(f2(a13)))),
% 29.70/29.78 inference(scs_inference,[],[75,454,426,430,136,138,286,404,452,370,186,184,366,322,383,91,146,89,174,122,24,65,67,48,70,66,21,20,9,18,2,3,47,33,36,35,46,34,32,45,42,39,12,10,8,7,5,54,50,16,14,11,6,15])).
% 29.70/29.78 cnf(545,plain,
% 29.70/29.78 (P4(a9,f7(f5(a9,a9),f5(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[109,120,64])).
% 29.70/29.78 cnf(549,plain,
% 29.70/29.78 (P4(f7(a9,f7(a9,a9)),f7(a9,f7(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[496,138,425,109,120,64,41,21])).
% 29.70/29.78 cnf(550,plain,
% 29.70/29.78 (P4(f7(a9,a9),f5(f3(a9),f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[496,368,138,425,109,236,120,64,41,21,20])).
% 29.70/29.78 cnf(552,plain,
% 29.70/29.78 (~E(f12(a1),f4(f12(a1)))),
% 29.70/29.78 inference(scs_inference,[],[496,410,368,513,138,425,95,109,236,120,64,41,21,20,2,3])).
% 29.70/29.78 cnf(555,plain,
% 29.70/29.78 (P4(f3(f3(f8(a13,a1))),f3(f3(f8(a13,a1))))),
% 29.70/29.78 inference(scs_inference,[],[498,496,410,368,513,138,425,95,109,236,120,64,41,21,20,2,3,38,43])).
% 29.70/29.78 cnf(559,plain,
% 29.70/29.78 (P4(f7(f8(a10,a1),f8(a10,a1)),f7(f8(a10,a1),f8(a10,a1)))),
% 29.70/29.78 inference(scs_inference,[],[498,496,410,368,513,138,425,379,95,109,236,176,120,64,41,21,20,2,3,38,43,65,50])).
% 29.70/29.78 cnf(568,plain,
% 29.70/29.78 (P4(f7(f5(a9,a9),f5(a9,a9)),f7(f5(a9,a9),f5(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,120,71])).
% 29.70/29.78 cnf(570,plain,
% 29.70/29.78 (E(a9,f5(a9,a9))),
% 29.70/29.78 inference(scs_inference,[],[78,367,109,120,25,71,59])).
% 29.70/29.78 cnf(572,plain,
% 29.70/29.78 (E(a9,f3(a9))),
% 29.70/29.78 inference(scs_inference,[],[78,79,367,109,120,25,71,59,2])).
% 29.70/29.78 cnf(574,plain,
% 29.70/29.78 (E(f7(f5(f5(a9,a9),a9),f5(f5(a9,a9),a9)),f5(f5(a9,a9),f7(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,79,367,109,236,120,25,71,59,2,3,215])).
% 29.70/29.78 cnf(576,plain,
% 29.70/29.78 (E(f7(a9,f5(a9,a9)),f7(f5(a9,a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[78,79,367,109,236,120,25,71,59,2,3,215,213])).
% 29.70/29.78 cnf(578,plain,
% 29.70/29.78 (E(f5(a9,f5(a9,a9)),f5(f5(a9,a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[78,79,367,109,236,120,25,71,59,2,3,215,213,211])).
% 29.70/29.78 cnf(580,plain,
% 29.70/29.78 (P2(f8(f11(a10),f2(f11(a10))))),
% 29.70/29.78 inference(scs_inference,[],[78,79,511,452,367,109,236,120,25,71,59,2,3,215,213,211,53])).
% 29.70/29.78 cnf(582,plain,
% 29.70/29.78 (E(f3(f5(f7(a9,a9),f7(a9,a9))),f5(f7(a9,a9),f3(f7(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[78,79,511,452,367,109,236,122,120,25,71,59,2,3,215,213,211,53,60])).
% 29.70/29.78 cnf(584,plain,
% 29.70/29.78 (P2(f7(f5(f7(a9,a9),a9),f5(f7(a9,a9),a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,79,511,452,367,425,109,236,122,120,25,71,59,2,3,215,213,211,53,60,51])).
% 29.70/29.78 cnf(586,plain,
% 29.70/29.78 (P2(f5(f5(f7(a9,a9),a9),f5(f7(a9,a9),a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,79,511,452,367,425,109,236,122,120,25,71,59,2,3,215,213,211,53,60,51,52])).
% 29.70/29.78 cnf(590,plain,
% 29.70/29.78 (E(f3(f5(f8(a10,a1),f8(a10,a1))),f5(f3(f8(a10,a1)),f8(a10,a1)))),
% 29.70/29.78 inference(scs_inference,[],[78,79,414,511,452,367,425,109,236,118,122,120,25,71,59,2,3,215,213,211,53,60,51,52,65,61])).
% 29.70/29.78 cnf(592,plain,
% 29.70/29.78 (E(f5(f3(f7(a9,a9)),f3(f7(a9,a9))),f5(f7(a9,a9),f7(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,79,414,511,452,367,425,109,236,118,122,120,25,71,59,2,3,215,213,211,53,60,51,52,65,61,57])).
% 29.70/29.78 cnf(597,plain,
% 29.70/29.78 (P2(f5(f7(a9,a9),f7(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,79,414,428,511,545,452,367,425,109,236,176,118,122,120,25,71,59,2,3,215,213,211,53,60,51,52,65,61,57,64,9,18])).
% 29.70/29.78 cnf(605,plain,
% 29.70/29.78 (E(f3(f5(f3(a9),f3(a9))),f5(f3(a9),f3(f3(a9))))),
% 29.70/29.78 inference(scs_inference,[],[89,60])).
% 29.70/29.78 cnf(607,plain,
% 29.70/29.78 (P2(f7(f5(f7(a9,a9),f7(a9,a9)),f5(f7(a9,a9),f7(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[597,89,60,51])).
% 29.70/29.78 cnf(609,plain,
% 29.70/29.78 (P2(f5(f5(f7(a9,a9),f7(a9,a9)),f5(f7(a9,a9),f7(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[597,89,60,51,52])).
% 29.70/29.78 cnf(611,plain,
% 29.70/29.78 (E(f3(f5(f3(a9),f3(a9))),f5(f3(f3(a9)),f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[597,89,60,51,52,61])).
% 29.70/29.78 cnf(613,plain,
% 29.70/29.78 (P4(f7(f5(f7(a9,a9),f7(a9,a9)),f5(a9,a9)),f7(f5(f7(a9,a9),f7(a9,a9)),f5(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,597,234,89,120,60,51,52,61,71])).
% 29.70/29.78 cnf(615,plain,
% 29.70/29.78 (E(f5(f3(f3(a9)),f3(f3(a9))),f5(f3(a9),f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,597,234,89,120,60,51,52,61,71,57])).
% 29.70/29.78 cnf(617,plain,
% 29.70/29.78 (P4(f5(a9,f3(a9)),f5(f3(a9),f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,597,234,168,190,89,120,25,60,51,52,61,71,57,72])).
% 29.70/29.78 cnf(619,plain,
% 29.70/29.78 (P4(f3(a9),a9)),
% 29.70/29.78 inference(scs_inference,[],[78,79,597,234,168,190,89,120,25,60,51,52,61,71,57,72,21])).
% 29.70/29.78 cnf(621,plain,
% 29.70/29.78 (~E(f4(f12(a1)),f12(a1))),
% 29.70/29.78 inference(scs_inference,[],[78,79,597,549,432,552,234,168,190,89,120,25,60,51,52,61,71,57,72,21,20,2])).
% 29.70/29.78 cnf(640,plain,
% 29.70/29.78 (P4(a9,f5(f5(f7(a9,a9),f7(a9,a9)),f5(f7(a9,a9),f7(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[485,597,65])).
% 29.70/29.78 cnf(644,plain,
% 29.70/29.78 (P4(f5(f5(a9,a9),f5(a9,a9)),f5(f5(a9,a9),f5(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,485,597,109,150,122,120,65,71,72])).
% 29.70/29.78 cnf(646,plain,
% 29.70/29.78 (P4(f5(a9,f7(a9,a9)),f7(f5(a9,a9),f5(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,568,485,142,597,109,150,122,120,65,71,72,20])).
% 29.70/29.78 cnf(647,plain,
% 29.70/29.78 (P4(f7(f5(a9,a9),f5(a9,a9)),f5(a9,f7(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,568,485,142,597,109,150,122,120,65,71,72,20,21])).
% 29.70/29.78 cnf(648,plain,
% 29.70/29.78 (P2(f5(f7(f7(a9,a9),f7(a9,a9)),f7(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,568,607,456,485,142,597,109,150,122,120,65,71,72,20,21,18])).
% 29.70/29.78 cnf(649,plain,
% 29.70/29.78 (E(f5(f7(a9,a9),f7(a9,a9)),f5(f3(f7(a9,a9)),f3(f7(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[78,568,592,607,456,485,142,597,109,150,122,120,65,71,72,20,21,18,2])).
% 29.70/29.78 cnf(650,plain,
% 29.70/29.78 (~E(a1,f12(f2(f11(a10))))),
% 29.70/29.78 inference(scs_inference,[],[78,568,592,607,456,362,370,485,142,597,109,150,122,120,65,71,72,20,21,18,2,3])).
% 29.70/29.78 cnf(651,plain,
% 29.70/29.78 (P5(f2(a13),f12(f2(a13)))),
% 29.70/29.78 inference(scs_inference,[],[78,568,592,607,456,362,370,485,116,142,597,109,150,122,120,65,71,72,20,21,18,2,3,47])).
% 29.70/29.78 cnf(655,plain,
% 29.70/29.78 (P1(f12(f2(a13)))),
% 29.70/29.78 inference(scs_inference,[],[78,568,592,607,456,362,370,485,116,142,379,597,109,150,122,120,65,71,72,20,21,18,2,3,47,46,33])).
% 29.70/29.78 cnf(657,plain,
% 29.70/29.78 (~E(f12(f2(a13)),a1)),
% 29.70/29.78 inference(scs_inference,[],[78,568,592,607,456,362,370,485,116,142,379,597,109,150,122,120,65,71,72,20,21,18,2,3,47,46,33,32])).
% 29.70/29.78 cnf(665,plain,
% 29.70/29.78 (P4(a9,f5(f7(f8(a10,a1),f8(a10,a1)),f7(f8(a10,a1),f8(a10,a1))))),
% 29.70/29.78 inference(scs_inference,[],[78,568,592,607,456,580,362,370,485,116,142,379,597,109,150,118,122,120,65,71,72,20,21,18,2,3,47,46,33,32,42,36,35,54])).
% 29.70/29.78 cnf(673,plain,
% 29.70/29.78 (E(f7(x6731,f3(a9)),f7(x6731,a9))),
% 29.70/29.78 inference(scs_inference,[],[78,79,568,592,607,456,580,362,370,485,116,142,379,597,109,150,174,118,122,120,65,71,72,20,21,18,2,3,47,46,33,32,42,36,35,54,45,39,12,10,8])).
% 29.70/29.78 cnf(674,plain,
% 29.70/29.78 (E(f7(f3(a9),x6741),f7(a9,x6741))),
% 29.70/29.78 inference(scs_inference,[],[78,79,568,592,607,456,580,362,370,485,116,142,379,597,109,150,174,118,122,120,65,71,72,20,21,18,2,3,47,46,33,32,42,36,35,54,45,39,12,10,8,7])).
% 29.70/29.78 cnf(678,plain,
% 29.70/29.78 (E(f5(x6781,f3(a9)),f5(x6781,a9))),
% 29.70/29.78 inference(scs_inference,[],[78,79,568,592,607,456,580,362,370,485,116,142,379,597,109,150,174,118,122,120,65,71,72,20,21,18,2,3,47,46,33,32,42,36,35,54,45,39,12,10,8,7,16,14,11,6])).
% 29.70/29.78 cnf(679,plain,
% 29.70/29.78 (E(f5(f3(a9),x6791),f5(a9,x6791))),
% 29.70/29.78 inference(scs_inference,[],[78,79,568,592,607,456,580,362,370,485,116,142,379,597,109,150,174,118,122,120,65,71,72,20,21,18,2,3,47,46,33,32,42,36,35,54,45,39,12,10,8,7,16,14,11,6,5])).
% 29.70/29.78 cnf(693,plain,
% 29.70/29.78 (P2(f8(f11(a10),f12(f2(a13))))),
% 29.70/29.78 inference(scs_inference,[],[655,452,53])).
% 29.70/29.78 cnf(695,plain,
% 29.70/29.78 (P4(f3(a9),f5(f5(f7(a9,a9),f7(a9,a9)),f5(f7(a9,a9),f7(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[609,640,655,619,452,89,25,53,63])).
% 29.70/29.78 cnf(697,plain,
% 29.70/29.78 (P4(f7(f3(a9),f3(a9)),f7(f3(a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[609,640,655,619,452,168,89,25,53,63,71])).
% 29.70/29.78 cnf(699,plain,
% 29.70/29.78 (P1(f12(f2(a10)))),
% 29.70/29.78 inference(scs_inference,[],[609,640,655,619,98,452,168,89,25,53,63,71,17])).
% 29.70/29.78 cnf(703,plain,
% 29.70/29.78 (~E(f12(f2(f11(a10))),a1)),
% 29.70/29.78 inference(scs_inference,[],[79,609,438,640,501,655,619,650,97,98,377,452,168,89,25,53,63,71,17,22,23,4,2])).
% 29.70/29.78 cnf(704,plain,
% 29.70/29.78 (E(f5(a9,f5(a9,a9)),a9)),
% 29.70/29.78 inference(scs_inference,[],[79,609,438,578,640,501,655,172,619,650,97,98,377,452,168,89,25,53,63,71,17,22,23,4,2,3])).
% 29.70/29.78 cnf(707,plain,
% 29.70/29.78 (P4(f5(f7(f7(a9,a9),f7(a9,a9)),f7(a9,a9)),f5(f7(f7(a9,a9),f7(a9,a9)),f7(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[79,609,648,438,578,640,501,655,172,619,650,97,98,377,452,168,89,25,53,63,71,17,22,23,4,2,3,38,43])).
% 29.70/29.78 cnf(711,plain,
% 29.70/29.78 (P4(a9,f7(f5(f7(a9,a9),f7(a9,a9)),f5(f7(a9,a9),f7(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[77,79,609,648,438,578,640,501,655,172,619,650,97,98,377,485,144,452,168,194,597,89,25,53,63,71,17,22,23,4,2,3,38,43,68,64])).
% 29.70/29.78 cnf(726,plain,
% 29.70/29.78 (~E(f12(f12(f2(a10))),f12(f12(a1)))),
% 29.70/29.78 inference(scs_inference,[],[699,291,93,48])).
% 29.70/29.78 cnf(729,plain,
% 29.70/29.78 (E(f7(a9,a9),f3(a9))),
% 29.70/29.78 inference(scs_inference,[],[83,582,572,699,291,93,48,2,3])).
% 29.70/29.78 cnf(732,plain,
% 29.70/29.78 (E(f7(a9,f3(a9)),f7(f3(a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[83,582,572,699,291,93,48,2,3,215,213])).
% 29.70/29.78 cnf(734,plain,
% 29.70/29.78 (E(f5(a9,f3(a9)),f5(f3(a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[83,582,572,699,291,93,48,2,3,215,213,211])).
% 29.70/29.78 cnf(741,plain,
% 29.70/29.78 (E(f8(f7(a9,a9),x7411),f8(a9,x7411))),
% 29.70/29.78 inference(scs_inference,[],[83,78,649,582,707,373,572,699,291,648,93,597,118,120,48,2,3,215,213,211,71,72,18,13])).
% 29.70/29.78 cnf(744,plain,
% 29.70/29.78 (~P4(f8(f11(a10),f12(f2(a13))),f8(f11(a10),f12(f2(a13))))+E(f11(f7(a9,a9)),f11(a9))),
% 29.70/29.78 inference(scs_inference,[],[83,78,649,582,707,373,572,693,699,291,648,93,597,118,120,48,2,3,215,213,211,71,72,18,13,63,9])).
% 29.70/29.78 cnf(751,plain,
% 29.70/29.78 (~E(f12(f2(a10)),a1)),
% 29.70/29.78 inference(scs_inference,[],[78,646,647,657,707,693,98,648,366,109,176,120,50,59,72,3])).
% 29.70/29.78 cnf(760,plain,
% 29.70/29.78 (~E(f12(f4(f12(a1))),f12(f12(a1)))),
% 29.70/29.78 inference(scs_inference,[],[78,77,646,647,726,621,657,707,693,383,98,648,93,366,109,176,120,25,50,59,72,3,2,744,52,51,65,48])).
% 29.70/29.78 cnf(762,plain,
% 29.70/29.78 (P1(f4(f12(f2(a13))))),
% 29.70/29.78 inference(scs_inference,[],[78,77,646,647,726,621,657,707,693,655,383,98,648,93,366,109,176,120,25,50,59,72,3,2,744,52,51,65,48,37])).
% 29.70/29.78 cnf(768,plain,
% 29.70/29.78 (E(f3(f5(f7(a9,a9),f7(a9,a9))),f5(f3(f7(a9,a9)),f7(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,77,646,647,726,695,621,657,609,707,693,655,383,98,648,93,366,277,109,176,122,89,120,25,50,59,72,3,2,744,52,51,65,48,37,71,62,61])).
% 29.70/29.78 cnf(774,plain,
% 29.70/29.78 (P2(f5(f5(a9,f7(a9,a9)),f5(a9,f7(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[366,52])).
% 29.70/29.78 cnf(778,plain,
% 29.70/29.78 (P4(f5(f5(f7(a9,a9),a9),f5(a9,a9)),f5(f5(f7(a9,a9),a9),f5(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,422,425,366,109,120,52,51,72])).
% 29.70/29.78 cnf(780,plain,
% 29.70/29.78 (P4(f8(a13,a1),f3(f3(f8(a13,a1))))),
% 29.70/29.78 inference(scs_inference,[],[78,555,422,318,425,366,109,120,52,51,72,20])).
% 29.70/29.78 cnf(781,plain,
% 29.70/29.78 (P4(f3(f3(f8(a13,a1))),f8(a13,a1))),
% 29.70/29.78 inference(scs_inference,[],[78,555,422,318,425,366,109,120,52,51,72,20,21])).
% 29.70/29.78 cnf(782,plain,
% 29.70/29.78 (E(f7(a9,a9),f5(a9,a9))),
% 29.70/29.78 inference(scs_inference,[],[83,78,555,570,422,318,425,366,109,120,52,51,72,20,21,3])).
% 29.70/29.78 cnf(783,plain,
% 29.70/29.78 (E(f5(f3(f7(a9,a9)),f7(a9,a9)),f3(f5(f7(a9,a9),f7(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[83,78,768,555,570,422,318,425,366,109,120,52,51,72,20,21,3,2])).
% 29.70/29.78 cnf(784,plain,
% 29.70/29.78 (P5(f12(f2(a10)),f12(f12(f2(a10))))),
% 29.70/29.78 inference(scs_inference,[],[83,78,768,555,570,422,699,318,425,366,109,120,52,51,72,20,21,3,2,47])).
% 29.70/29.78 cnf(790,plain,
% 29.70/29.78 (~E(f12(f4(f12(f2(a13)))),a1)),
% 29.70/29.78 inference(scs_inference,[],[83,78,768,555,762,570,422,699,318,425,366,109,120,52,51,72,20,21,3,2,47,46,33,32])).
% 29.70/29.78 cnf(792,plain,
% 29.70/29.78 (P4(a9,f5(f5(f7(a9,a9),a9),f5(f7(a9,a9),a9)))),
% 29.70/29.78 inference(scs_inference,[],[83,78,768,555,762,570,422,699,318,425,366,109,120,52,51,72,20,21,3,2,47,46,33,32,54])).
% 29.70/29.78 cnf(798,plain,
% 29.70/29.78 (E(f3(f3(f7(a9,a9))),f7(a9,a9))),
% 29.70/29.78 inference(scs_inference,[],[83,78,768,555,762,570,422,699,318,498,425,366,109,122,120,52,51,72,20,21,3,2,47,46,33,32,54,42,35,36])).
% 29.70/29.78 cnf(805,plain,
% 29.70/29.78 (E(f7(f5(a9,a9),x8051),f7(a9,x8051))),
% 29.70/29.78 inference(scs_inference,[],[85,83,78,768,555,762,570,422,699,318,498,425,366,109,118,122,120,52,51,72,20,21,3,2,47,46,33,32,54,42,35,36,39,45,10,7])).
% 29.70/29.78 cnf(812,plain,
% 29.70/29.78 (E(f7(x8121,f5(a9,a9)),f7(x8121,a9))),
% 29.70/29.78 inference(scs_inference,[],[85,83,78,768,555,762,570,422,699,318,498,425,366,277,109,118,122,120,52,51,72,20,21,3,2,47,46,33,32,54,42,35,36,39,45,10,7,53,16,14,12,11,8])).
% 29.70/29.78 cnf(813,plain,
% 29.70/29.78 (E(f5(f5(a9,a9),x8131),f5(a9,x8131))),
% 29.70/29.78 inference(scs_inference,[],[85,83,78,768,555,762,570,422,699,318,498,425,366,277,109,118,122,120,52,51,72,20,21,3,2,47,46,33,32,54,42,35,36,39,45,10,7,53,16,14,12,11,8,5])).
% 29.70/29.78 cnf(814,plain,
% 29.70/29.78 (E(f5(x8141,f5(a9,a9)),f5(x8141,a9))),
% 29.70/29.78 inference(scs_inference,[],[85,83,78,768,555,762,570,422,699,318,498,425,366,277,109,118,122,120,52,51,72,20,21,3,2,47,46,33,32,54,42,35,36,39,45,10,7,53,16,14,12,11,8,5,6])).
% 29.70/29.78 cnf(819,plain,
% 29.70/29.78 (P1(f4(f12(f2(a10))))),
% 29.70/29.78 inference(scs_inference,[],[85,83,78,77,768,555,762,751,570,422,699,318,498,580,425,144,366,277,194,109,118,122,120,25,52,51,72,20,21,3,2,47,46,33,32,54,42,35,36,39,45,10,7,53,16,14,12,11,8,5,6,50,64,37])).
% 29.70/29.78 cnf(826,plain,
% 29.70/29.78 (E(f7(a9,a9),f7(f3(a9),a9))+~P4(f7(f3(a9),a9),f7(a9,a9))+~P2(f7(f3(a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[85,83,78,77,768,555,436,762,751,570,592,422,699,318,498,580,425,144,146,366,277,194,109,118,122,120,25,52,51,72,20,21,3,2,47,46,33,32,54,42,35,36,39,45,10,7,53,16,14,12,11,8,5,6,50,64,37,15,68,17,23,59])).
% 29.70/29.78 cnf(833,plain,
% 29.70/29.78 (P4(f5(f3(a9),f3(a9)),f5(a9,a9))),
% 29.70/29.78 inference(scs_inference,[],[619,190,89,25,72])).
% 29.70/29.78 cnf(835,plain,
% 29.70/29.78 (P2(f5(a9,f5(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[813,619,190,194,89,25,72,18])).
% 29.70/29.78 cnf(843,plain,
% 29.70/29.78 (P4(a9,f5(f5(a9,f5(a9,a9)),f5(a9,f5(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[83,798,813,760,495,619,693,190,366,194,89,25,72,18,3,2,38,43,65])).
% 29.70/29.78 cnf(847,plain,
% 29.70/29.78 (~P2(f7(f3(a9),a9))+P4(a9,f7(f7(f3(a9),a9),f7(f3(a9),a9)))),
% 29.70/29.78 inference(scs_inference,[],[83,798,813,760,418,495,619,693,190,648,366,194,89,25,72,18,3,2,38,43,65,41,64])).
% 29.70/29.78 cnf(851,plain,
% 29.70/29.78 (E(f3(f8(a10,a1)),f8(a10,a1))+~P2(f3(f8(a10,a1)))+~P4(a9,f3(f8(a10,a1)))+~P4(a9,f8(a10,a1))),
% 29.70/29.78 inference(scs_inference,[],[83,798,385,813,760,418,495,619,693,190,648,366,194,118,89,25,72,18,3,2,38,43,65,41,64,4,475,68])).
% 29.70/29.78 cnf(866,plain,
% 29.70/29.78 (P4(f8(a13,a1),f8(a13,a1))),
% 29.70/29.78 inference(scs_inference,[],[774,526,780,781,498,146,174,122,64,63])).
% 29.70/29.78 cnf(870,plain,
% 29.70/29.78 (P2(f7(a9,f5(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[774,805,784,651,526,780,781,534,98,498,146,176,174,122,64,63,23,22,18])).
% 29.70/29.78 cnf(872,plain,
% 29.70/29.78 (~E(f12(a1),f12(f12(a1)))),
% 29.70/29.78 inference(scs_inference,[],[774,805,784,651,526,780,781,534,760,377,98,498,146,176,174,122,64,63,23,22,18,3])).
% 29.70/29.78 cnf(873,plain,
% 29.70/29.78 (E(a9,f3(f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[87,774,805,784,651,526,780,781,534,760,377,98,498,146,176,174,122,64,63,23,22,18,3,2])).
% 29.70/29.78 cnf(876,plain,
% 29.70/29.78 (E(f5(a9,f3(f3(a9))),f5(f3(f3(a9)),a9))),
% 29.70/29.78 inference(scs_inference,[],[87,774,805,784,651,526,780,781,534,760,254,377,98,498,146,452,176,27,29,174,122,64,63,23,22,18,3,2,62,211])).
% 29.70/29.78 cnf(881,plain,
% 29.70/29.78 (P2(f3(f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[87,774,805,784,651,526,780,781,534,760,254,377,98,498,146,452,176,27,29,174,122,64,63,23,22,18,3,2,62,211,213,13,210])).
% 29.70/29.78 cnf(889,plain,
% 29.70/29.78 (E(f11(f3(f3(a9))),f11(a9))),
% 29.70/29.78 inference(scs_inference,[],[87,833,774,208,741,805,784,651,526,780,781,534,760,254,377,98,498,146,452,176,27,29,174,122,120,64,63,23,22,18,3,2,62,211,213,13,210,73,71,59,9])).
% 29.70/29.78 cnf(892,plain,
% 29.70/29.78 (E(f7(a9,a9),f3(f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[83,873,3])).
% 29.70/29.78 cnf(893,plain,
% 29.70/29.78 (~E(f12(f12(a1)),f12(a1))),
% 29.70/29.78 inference(scs_inference,[],[83,872,873,3,2])).
% 29.70/29.78 cnf(898,plain,
% 29.70/29.78 (P2(f7(f5(a9,a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[77,83,835,870,576,872,873,234,485,597,25,3,2,71,72,18])).
% 29.70/29.78 cnf(901,plain,
% 29.70/29.78 (~P4(a9,f7(a9,f5(a9,a9)))+P4(a9,f5(f7(a9,f5(a9,a9)),f7(a9,f5(a9,a9))))),
% 29.70/29.78 inference(scs_inference,[],[77,83,289,835,870,576,872,873,234,485,597,25,3,2,71,72,18,68,65])).
% 29.70/29.78 cnf(912,plain,
% 29.70/29.78 (P4(a9,f7(f3(a9),f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[89,898,190,50,64])).
% 29.70/29.78 cnf(918,plain,
% 29.70/29.78 (P4(f5(a9,a9),f5(a9,f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,89,898,647,545,190,366,176,77,120,25,50,64,71,63,72])).
% 29.70/29.78 cnf(922,plain,
% 29.70/29.78 (E(f7(a9,f5(a9,a9)),a9)),
% 29.70/29.78 inference(scs_inference,[],[78,83,89,734,617,898,812,647,545,190,366,176,77,120,25,50,64,71,63,72,20,21,3])).
% 29.70/29.78 cnf(924,plain,
% 29.70/29.78 (E(f5(a9,a9),f7(a9,a9))),
% 29.70/29.78 inference(scs_inference,[],[78,83,89,782,734,617,898,812,647,545,190,366,176,77,120,25,50,64,71,63,72,20,21,3,2])).
% 29.70/29.78 cnf(931,plain,
% 29.70/29.78 (~E(f12(f4(f12(f2(a10)))),a1)),
% 29.70/29.78 inference(scs_inference,[],[78,83,89,782,734,617,898,812,819,647,196,545,190,366,176,77,120,25,50,64,71,63,72,20,21,3,2,46,47,33,32])).
% 29.70/29.78 cnf(933,plain,
% 29.70/29.78 (P4(a9,f5(f7(f5(a9,a9),a9),f7(f5(a9,a9),a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,83,89,782,734,617,898,812,819,647,196,545,190,366,176,77,120,25,50,64,71,63,72,20,21,3,2,46,47,33,32,54])).
% 29.70/29.78 cnf(937,plain,
% 29.70/29.78 (P2(f3(f7(f5(a9,a9),a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,83,89,782,734,617,898,812,819,647,196,545,190,366,176,77,120,25,50,64,71,63,72,20,21,3,2,46,47,33,32,54,42,35])).
% 29.70/29.78 cnf(939,plain,
% 29.70/29.78 (E(f3(f3(f5(a9,a9))),f5(a9,a9))),
% 29.70/29.78 inference(scs_inference,[],[78,83,89,782,734,617,898,812,819,647,196,545,190,366,176,77,120,25,50,64,71,63,72,20,21,3,2,46,47,33,32,54,42,35,36])).
% 29.70/29.78 cnf(941,plain,
% 29.70/29.78 (E(f5(a9,f3(a9)),a9)),
% 29.70/29.78 inference(scs_inference,[],[78,83,89,782,734,617,898,812,819,647,196,545,190,366,176,77,120,25,50,64,71,63,72,20,21,3,2,46,47,33,32,54,42,35,36,39])).
% 29.70/29.78 cnf(949,plain,
% 29.70/29.78 (E(f7(x9491,f3(f3(a9))),f7(x9491,a9))),
% 29.70/29.78 inference(scs_inference,[],[78,87,83,89,782,734,617,898,812,819,647,196,545,190,366,176,122,77,120,25,50,64,71,63,72,20,21,3,2,46,47,33,32,54,42,35,36,39,45,10,16,12,11,8])).
% 29.70/29.78 cnf(950,plain,
% 29.70/29.78 (E(f7(f3(f3(a9)),x9501),f7(a9,x9501))),
% 29.70/29.78 inference(scs_inference,[],[78,87,83,89,782,734,617,898,812,819,647,196,545,190,366,176,122,77,120,25,50,64,71,63,72,20,21,3,2,46,47,33,32,54,42,35,36,39,45,10,16,12,11,8,7])).
% 29.70/29.78 cnf(951,plain,
% 29.70/29.78 (P2(f5(f3(a9),f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,87,83,89,782,734,617,898,812,819,647,196,545,190,366,176,122,77,120,25,50,64,71,63,72,20,21,3,2,46,47,33,32,54,42,35,36,39,45,10,16,12,11,8,7,52])).
% 29.70/29.78 cnf(959,plain,
% 29.70/29.78 (E(f5(f3(f3(a9)),x9591),f5(a9,x9591))),
% 29.70/29.78 inference(scs_inference,[],[78,87,83,89,782,734,617,898,812,819,665,414,647,368,196,545,190,366,176,122,77,120,25,50,64,71,63,72,20,21,3,2,46,47,33,32,54,42,35,36,39,45,10,16,12,11,8,7,52,68,65,14,6,5])).
% 29.70/29.78 cnf(960,plain,
% 29.70/29.78 (P2(f7(f3(a9),f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,87,83,89,782,734,617,898,812,819,665,414,647,368,196,545,190,366,176,122,77,120,25,50,64,71,63,72,20,21,3,2,46,47,33,32,54,42,35,36,39,45,10,16,12,11,8,7,52,68,65,14,6,5,51])).
% 29.70/29.78 cnf(972,plain,
% 29.70/29.78 (P4(f3(a9),f7(f3(a9),f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[89,951,960,912,619,25,52,51,63])).
% 29.70/29.78 cnf(975,plain,
% 29.70/29.78 (E(f7(x9751,f5(a9,a9)),f7(x9751,a9))),
% 29.70/29.78 inference(rename_variables,[],[812])).
% 29.70/29.78 cnf(978,plain,
% 29.70/29.78 (~E(a1,f12(f2(f11(a13))))),
% 29.70/29.78 inference(scs_inference,[],[89,613,951,960,306,912,812,975,288,619,25,52,51,63,20,21,3])).
% 29.70/29.78 cnf(986,plain,
% 29.70/29.78 (P4(f3(f3(a9)),f3(f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[89,613,951,960,937,881,306,912,790,812,975,288,619,25,52,51,63,20,21,3,2,38,43,41,50])).
% 29.70/29.78 cnf(989,plain,
% 29.70/29.78 (P4(f7(a9,a9),f7(f7(f3(a9),f3(a9)),f7(f3(a9),f3(a9))))),
% 29.70/29.78 inference(scs_inference,[],[87,89,613,951,960,937,881,306,912,790,812,975,288,619,25,52,51,63,20,21,3,2,38,43,41,50,4,71])).
% 29.70/29.78 cnf(993,plain,
% 29.70/29.78 (P2(f5(f7(f3(a9),f3(a9)),f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[78,87,89,613,951,960,491,937,881,306,912,790,812,975,288,619,168,190,120,25,52,51,63,20,21,3,2,38,43,41,50,4,71,72,18])).
% 29.70/29.78 cnf(1003,plain,
% 29.70/29.78 (P2(f8(f11(a13),f2(a10)))),
% 29.70/29.78 inference(scs_inference,[],[91,277,53])).
% 29.70/29.78 cnf(1005,plain,
% 29.70/29.78 (E(f5(a9,a9),f5(f3(a9),f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[91,833,951,310,277,120,53,59])).
% 29.70/29.78 cnf(1023,plain,
% 29.70/29.78 (E(f8(f7(a9,f11(a10)),f2(a10)),f8(a10,f2(a10)))+~P4(a9,f5(f7(f3(a9),f3(a9)),f3(a9)))+P4(a9,f5(f5(f7(f3(a9),f3(a9)),f3(a9)),f5(f7(f3(a9),f3(a9)),f3(a9))))),
% 29.70/29.78 inference(scs_inference,[],[79,91,85,89,460,993,972,238,833,873,951,320,511,960,310,30,277,452,117,190,26,120,53,59,72,3,2,58,42,48,13,9,18,210,49,65])).
% 29.70/29.78 cnf(1036,plain,
% 29.70/29.78 (P4(f3(f3(a9)),a9)),
% 29.70/29.78 inference(scs_inference,[],[83,87,989,986,1003,42,20,21])).
% 29.70/29.78 cnf(1037,plain,
% 29.70/29.78 (P2(f8(f11(a13),f2(a13)))),
% 29.70/29.78 inference(scs_inference,[],[83,87,989,531,986,1003,42,20,21,18])).
% 29.70/29.78 cnf(1043,plain,
% 29.70/29.78 (~P1(f12(f2(f11(a13))))+~E(f12(a1),f12(f12(f2(f11(a13)))))),
% 29.70/29.78 inference(scs_inference,[],[79,83,87,989,505,531,986,1003,931,978,819,277,24,42,20,21,18,3,2,53,48])).
% 29.70/29.78 cnf(1061,plain,
% 29.70/29.78 (P1(f12(f12(a1)))),
% 29.70/29.78 inference(scs_inference,[],[93,33])).
% 29.70/29.78 cnf(1066,plain,
% 29.70/29.78 (E(f5(x10661,f5(a9,a9)),f5(x10661,a9))),
% 29.70/29.78 inference(rename_variables,[],[814])).
% 29.70/29.78 cnf(1069,plain,
% 29.70/29.78 (P2(f7(f3(a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[93,89,778,814,1066,673,711,607,960,190,33,64,20,21,18])).
% 29.70/29.78 cnf(1071,plain,
% 29.70/29.78 (~E(a1,f12(f4(f2(a10))))),
% 29.70/29.78 inference(scs_inference,[],[93,89,778,814,1066,673,711,607,178,370,960,190,33,64,20,21,18,3])).
% 29.70/29.78 cnf(1078,plain,
% 29.70/29.78 (~E(f12(f12(a1)),a1)),
% 29.70/29.78 inference(scs_inference,[],[93,89,442,778,814,1066,673,1037,711,607,178,370,960,190,33,64,20,21,18,3,2,847,46,47,32])).
% 29.70/29.78 cnf(1080,plain,
% 29.70/29.78 (P4(a9,f5(f8(f11(a13),f2(a13)),f8(f11(a13),f2(a13))))),
% 29.70/29.78 inference(scs_inference,[],[93,89,442,778,814,1066,673,1037,711,607,178,370,960,190,33,64,20,21,18,3,2,847,46,47,32,54])).
% 29.70/29.78 cnf(1084,plain,
% 29.70/29.78 (P2(f3(f8(f11(a13),f2(a13))))),
% 29.70/29.78 inference(scs_inference,[],[93,89,442,778,814,1066,673,1037,711,607,178,370,960,190,33,64,20,21,18,3,2,847,46,47,32,54,39,35])).
% 29.70/29.78 cnf(1092,plain,
% 29.70/29.78 (E(f7(f7(a9,a9),x10921),f7(a9,x10921))),
% 29.70/29.78 inference(scs_inference,[],[93,83,89,442,778,814,1066,673,1037,711,607,178,370,960,190,120,33,64,20,21,18,3,2,847,46,47,32,54,39,35,45,10,16,11,8,7])).
% 29.70/29.78 cnf(1093,plain,
% 29.70/29.78 (E(f3(f5(a9,a9)),f3(f5(f3(a9),f3(a9))))),
% 29.70/29.78 inference(scs_inference,[],[93,83,89,1005,442,778,814,1066,673,1037,711,607,178,370,960,190,120,33,64,20,21,18,3,2,847,46,47,32,54,39,35,45,10,16,11,8,7,12])).
% 29.70/29.78 cnf(1095,plain,
% 29.70/29.78 (E(f5(x10951,f7(a9,a9)),f5(x10951,a9))),
% 29.70/29.78 inference(scs_inference,[],[93,83,89,1005,442,778,814,1066,673,1037,711,607,178,370,960,190,120,33,64,20,21,18,3,2,847,46,47,32,54,39,35,45,10,16,11,8,7,12,14,6])).
% 29.70/29.78 cnf(1096,plain,
% 29.70/29.78 (E(f5(f7(a9,a9),x10961),f5(a9,x10961))),
% 29.70/29.78 inference(scs_inference,[],[93,83,89,1005,442,778,814,1066,673,1037,711,607,178,370,960,190,120,33,64,20,21,18,3,2,847,46,47,32,54,39,35,45,10,16,11,8,7,12,14,6,5])).
% 29.70/29.78 cnf(1112,plain,
% 29.70/29.78 (E(f7(a9,a9),f7(f3(a9),a9))+~P4(f7(f3(a9),a9),f7(a9,a9))),
% 29.70/29.78 inference(scs_inference,[],[1069,826])).
% 29.70/29.78 cnf(1113,plain,
% 29.70/29.78 (P1(f4(f12(f12(a1))))),
% 29.70/29.78 inference(scs_inference,[],[1061,1078,37])).
% 29.70/29.78 cnf(1127,plain,
% 29.70/29.78 (P2(f7(f7(f3(a9),a9),f7(f3(a9),a9)))),
% 29.70/29.78 inference(scs_inference,[],[87,1084,1069,1061,1071,1078,835,495,570,37,64,3,2,38,43,52,41,51])).
% 29.70/29.78 cnf(1131,plain,
% 29.70/29.78 (P1(f12(f12(f12(a1))))),
% 29.70/29.78 inference(scs_inference,[],[87,89,1084,1069,843,1061,1071,1078,835,495,570,190,37,64,3,2,38,43,52,41,51,65,33])).
% 29.70/29.78 cnf(1137,plain,
% 29.70/29.78 (P4(f7(f3(a9),a9),f7(f3(a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[91,87,89,1084,1069,843,889,1061,1071,1078,835,495,570,452,190,37,64,3,2,38,43,52,41,51,65,33,44,58,50])).
% 29.70/29.78 cnf(1167,plain,
% 29.70/29.78 (P2(f8(f11(a10),f2(a10)))),
% 29.70/29.78 inference(scs_inference,[],[91,452,53])).
% 29.70/29.78 cnf(1169,plain,
% 29.70/29.78 (E(f11(f5(a9,a9)),f11(a9))),
% 29.70/29.78 inference(scs_inference,[],[91,85,452,53,9])).
% 29.70/29.78 cnf(1170,plain,
% 29.70/29.78 (~E(f12(f2(f11(a13))),a1)),
% 29.70/29.78 inference(scs_inference,[],[91,85,978,452,53,9,2])).
% 29.70/29.78 cnf(1171,plain,
% 29.70/29.78 (~E(f12(f12(a1)),f4(f12(a1)))),
% 29.70/29.78 inference(scs_inference,[],[91,85,410,978,1078,452,53,9,2,3])).
% 29.70/29.78 cnf(1178,plain,
% 29.70/29.78 (P4(f7(a9,f5(a9,a9)),f7(a9,f5(a9,a9)))),
% 29.70/29.78 inference(scs_inference,[],[91,85,933,1036,649,410,978,1078,870,881,146,117,452,27,26,122,25,53,9,2,3,63,73,68,50])).
% 29.70/29.78 cnf(1185,plain,
% 29.70/29.78 (P4(f3(a9),f7(f3(a9),a9))),
% 29.70/29.78 inference(scs_inference,[],[89,697,972,960,1069,63])).
% 29.70/29.78 cnf(1187,plain,
% 29.70/29.78 (E(f5(a9,a9),f3(f3(a9)))),
% 29.70/29.78 inference(scs_inference,[],[85,89,697,972,873,960,1069,63,3])).
% 29.70/29.79 cnf(1191,plain,
% 29.70/29.79 (~E(f12(f12(f12(f12(a1)))),a1)),
% 29.70/29.79 inference(scs_inference,[],[85,89,444,1167,1131,697,972,873,960,1069,63,3,2,46,32])).
% 29.70/29.79 cnf(1197,plain,
% 29.70/29.79 (P4(a9,f5(f8(f11(a10),f2(a10)),f8(f11(a10),f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[85,89,444,1167,1131,697,972,1061,873,960,1069,63,3,2,46,32,47,39,54])).
% 29.70/29.79 cnf(1199,plain,
% 29.70/29.79 (P2(f3(f8(f11(a10),f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[85,89,444,1167,1131,697,972,1061,873,960,1069,63,3,2,46,32,47,39,54,35])).
% 29.70/29.79 cnf(1201,plain,
% 29.70/29.79 (E(f8(x12011,f2(a10)),f8(a13,f2(a10)))+~E(x12011,f11(a13))),
% 29.70/29.79 inference(scs_inference,[],[85,91,89,444,1167,1131,697,972,1061,873,960,1069,27,29,63,3,2,46,32,47,39,54,35,58])).
% 29.70/29.79 cnf(1203,plain,
% 29.70/29.79 (P2(f8(f11(a10),f12(a1)))),
% 29.70/29.79 inference(scs_inference,[],[85,91,93,89,444,1167,1131,697,972,1061,873,960,1069,452,27,29,63,3,2,46,32,47,39,54,35,58,53])).
% 29.70/29.79 cnf(1227,plain,
% 29.70/29.79 (E(f8(f11(a13),f2(a10)),f8(a13,f2(a10)))),
% 29.70/29.79 inference(equality_inference,[],[1201])).
% 29.70/29.79 cnf(1232,plain,
% 29.70/29.79 (P4(a9,f7(a9,f5(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[89,1178,1203,922,870,168,42,71,20])).
% 29.70/29.79 cnf(1233,plain,
% 29.70/29.79 (P4(f7(a9,f5(a9,a9)),a9)),
% 29.70/29.79 inference(scs_inference,[],[89,1178,1203,922,870,168,42,71,20,21])).
% 29.70/29.79 cnf(1235,plain,
% 29.70/29.79 (~E(f4(f12(a1)),f12(f12(a1)))),
% 29.70/29.79 inference(scs_inference,[],[85,89,1178,939,1171,1203,922,870,168,42,71,20,21,3,2])).
% 29.70/29.79 cnf(1236,plain,
% 29.70/29.79 (P1(f12(f4(f12(f12(a1)))))),
% 29.70/29.79 inference(scs_inference,[],[85,89,1178,939,1171,1203,922,1113,870,168,42,71,20,21,3,2,33])).
% 29.70/29.79 cnf(1247,plain,
% 29.70/29.79 (P4(a9,f5(f7(a9,f5(a9,a9)),f7(a9,f5(a9,a9))))),
% 29.70/29.79 inference(scs_inference,[],[85,97,89,1178,939,1199,1171,1203,922,1113,866,870,168,174,42,71,20,21,3,2,33,38,43,41,4,72,901])).
% 29.70/29.79 cnf(1254,plain,
% 29.70/29.79 (E(a9,f7(a9,f5(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[1232,1233,870,25,59])).
% 29.70/29.79 cnf(1256,plain,
% 29.70/29.79 (~E(a1,f12(f12(a1)))),
% 29.70/29.79 inference(scs_inference,[],[1235,1232,1233,410,870,25,59,3])).
% 29.70/29.79 cnf(1258,plain,
% 29.70/29.79 (E(f5(a9,f7(a9,f5(a9,a9))),f5(f7(a9,f5(a9,a9)),a9))),
% 29.70/29.79 inference(scs_inference,[],[1227,1235,1232,1233,410,870,25,59,3,2,211])).
% 29.70/29.79 cnf(1262,plain,
% 29.70/29.79 (~E(f12(f12(f12(a1))),f12(f12(a1)))),
% 29.70/29.79 inference(scs_inference,[],[93,1227,1235,1232,1233,893,410,1061,870,25,59,3,2,211,213,48])).
% 29.70/29.79 cnf(1264,plain,
% 29.70/29.79 (P2(f7(f5(a9,f5(a9,a9)),f5(a9,f5(a9,a9))))),
% 29.70/29.79 inference(scs_inference,[],[93,1227,1235,1232,1233,893,410,835,1061,870,25,59,3,2,211,213,48,51])).
% 29.70/29.79 cnf(1268,plain,
% 29.70/29.79 (E(f8(f12(f2(a13)),x12681),f8(f12(f2(a10)),x12681))),
% 29.70/29.79 inference(scs_inference,[],[98,93,1227,1235,1232,1233,893,410,835,1061,870,25,59,3,2,211,213,48,51,52,13])).
% 29.70/29.79 cnf(1289,plain,
% 29.70/29.79 (P4(f7(f3(a9),f3(a9)),f7(f3(a9),f7(f3(a9),a9)))),
% 29.70/29.79 inference(scs_inference,[],[89,1185,1003,1069,168,52,51,71])).
% 29.70/29.79 cnf(1291,plain,
% 29.70/29.79 (P2(f8(a13,f2(a10)))),
% 29.70/29.79 inference(scs_inference,[],[89,1227,1185,1003,1069,168,52,51,71,18])).
% 29.70/29.79 cnf(1296,plain,
% 29.70/29.79 (~E(f12(a1),f12(f12(f12(a1))))),
% 29.70/29.79 inference(scs_inference,[],[87,89,1262,1254,1256,1227,1185,1232,1003,1061,870,1069,168,24,190,52,51,71,18,3,2,68,48])).
% 29.70/29.79 cnf(1315,plain,
% 29.70/29.79 (P2(f8(a10,f2(a10)))),
% 29.70/29.79 inference(scs_inference,[],[91,26,53])).
% 29.70/29.79 cnf(1319,plain,
% 29.70/29.79 (P4(a9,f7(f3(a9),f7(f3(a9),f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[89,91,1291,912,960,26,190,53,42,64])).
% 29.70/29.79 cnf(1322,plain,
% 29.70/29.79 (E(f8(x13221,f2(a13)),f8(x13221,f2(a10)))),
% 29.70/29.79 inference(rename_variables,[],[99])).
% 29.70/29.79 cnf(1324,plain,
% 29.70/29.79 (E(f5(f8(a13,a1),f3(f8(a13,a1))),f3(f5(f8(a13,a1),f8(a13,a1))))),
% 29.70/29.79 inference(scs_inference,[],[89,99,91,1291,408,1268,912,960,26,190,53,42,64,3,2])).
% 29.70/29.79 cnf(1327,plain,
% 29.70/29.79 (~E(f12(f4(f12(f12(a1)))),a1)),
% 29.70/29.79 inference(scs_inference,[],[89,99,91,1291,408,1268,912,1113,960,26,190,53,42,64,3,2,46,32])).
% 29.70/29.79 cnf(1329,plain,
% 29.70/29.79 (P5(f12(f2(a13)),f12(f12(f2(a13))))),
% 29.70/29.79 inference(scs_inference,[],[89,99,91,1291,408,1268,912,1113,655,960,26,190,53,42,64,3,2,46,32,47])).
% 29.70/29.79 cnf(1335,plain,
% 29.70/29.79 (P4(a9,f5(f8(a13,f2(a10)),f8(a13,f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[89,99,91,1291,408,1268,912,1113,655,960,26,190,53,42,64,3,2,46,32,47,35,39,54])).
% 29.70/29.79 cnf(1337,plain,
% 29.70/29.79 (E(f6(f8(x13371,f2(a13)),x13372),f6(f8(x13371,f2(a10)),x13372))),
% 29.70/29.79 inference(scs_inference,[],[89,99,1322,91,1291,408,1268,912,1113,655,960,26,190,53,42,64,3,2,46,32,47,35,39,54,10])).
% 29.70/29.79 cnf(1339,plain,
% 29.70/29.79 (E(f6(x13391,f8(x13392,f2(a13))),f6(x13391,f8(x13392,f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[89,99,1322,91,1291,408,1268,912,1113,655,960,26,190,53,42,64,3,2,46,32,47,35,39,54,10,16,11])).
% 29.70/29.79 cnf(1340,plain,
% 29.70/29.79 (E(f7(x13401,f8(x13402,f2(a13))),f7(x13401,f8(x13402,f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[89,99,1322,91,1291,408,1268,912,1113,655,960,26,190,53,42,64,3,2,46,32,47,35,39,54,10,16,11,8])).
% 29.70/29.79 cnf(1341,plain,
% 29.70/29.79 (E(f7(f8(x13411,f2(a13)),x13412),f7(f8(x13411,f2(a10)),x13412))),
% 29.70/29.79 inference(scs_inference,[],[89,99,1322,91,1291,408,1268,912,1113,655,960,26,190,53,42,64,3,2,46,32,47,35,39,54,10,16,11,8,7])).
% 29.70/29.79 cnf(1342,plain,
% 29.70/29.79 (E(f5(x13421,f8(x13422,f2(a13))),f5(x13421,f8(x13422,f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[89,99,1322,91,1291,408,1268,912,1113,655,960,26,190,53,42,64,3,2,46,32,47,35,39,54,10,16,11,8,7,6])).
% 29.70/29.79 cnf(1343,plain,
% 29.70/29.79 (E(f3(f8(x13431,f2(a13))),f3(f8(x13431,f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[89,99,1322,91,1291,408,1268,912,1113,655,960,26,190,53,42,64,3,2,46,32,47,35,39,54,10,16,11,8,7,6,12])).
% 29.70/29.79 cnf(1344,plain,
% 29.70/29.79 (E(f8(x13441,f8(x13442,f2(a13))),f8(x13441,f8(x13442,f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[89,99,1322,91,1291,408,1268,912,1113,655,960,26,190,53,42,64,3,2,46,32,47,35,39,54,10,16,11,8,7,6,12,14])).
% 29.70/29.79 cnf(1345,plain,
% 29.70/29.79 (E(f5(f8(x13451,f2(a13)),x13452),f5(f8(x13451,f2(a10)),x13452))),
% 29.70/29.79 inference(scs_inference,[],[89,99,1322,91,1291,408,1268,912,1113,655,960,26,190,53,42,64,3,2,46,32,47,35,39,54,10,16,11,8,7,6,12,14,5])).
% 29.70/29.79 cnf(1359,plain,
% 29.70/29.79 (P4(a9,f7(f7(f5(a9,a9),a9),f7(f5(a9,a9),a9)))),
% 29.70/29.79 inference(scs_inference,[],[206,898,64])).
% 29.70/29.79 cnf(1363,plain,
% 29.70/29.79 (~E(f12(f12(f12(a1))),f12(a1))),
% 29.70/29.79 inference(scs_inference,[],[89,1296,644,206,898,194,168,190,64,72,2])).
% 29.70/29.79 cnf(1364,plain,
% 29.70/29.79 (P4(f8(a10,f2(a10)),f8(a10,f2(a10)))),
% 29.70/29.79 inference(scs_inference,[],[89,1315,1296,644,206,898,194,168,190,64,72,2,43])).
% 29.70/29.79 cnf(1370,plain,
% 29.70/29.79 (P2(f8(f11(a13),f12(a1)))),
% 29.70/29.79 inference(scs_inference,[],[89,93,1315,1296,644,1131,206,898,194,168,277,190,64,72,2,43,33,38,53])).
% 29.70/29.79 cnf(1388,plain,
% 29.70/29.79 (P2(f3(f8(f11(a13),f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[1343,1084,18])).
% 29.70/29.79 cnf(1390,plain,
% 29.70/29.79 (E(f5(f8(a13,a1),f3(f8(a13,a1))),f5(f3(f8(a13,a1)),f8(a13,a1)))),
% 29.70/29.79 inference(scs_inference,[],[420,1324,1343,1084,18,3])).
% 29.70/29.79 cnf(1397,plain,
% 29.70/29.79 (P4(a9,f5(f7(a9,a9),a9))),
% 29.70/29.79 inference(scs_inference,[],[100,1364,420,1324,586,1343,792,307,373,1084,1315,485,425,597,118,25,18,3,2,13,71,59,63])).
% 29.70/29.79 cnf(1399,plain,
% 29.70/29.79 (P4(f5(f3(a9),f3(a9)),f5(f3(a9),f7(f3(a9),f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[100,1364,420,1324,586,1343,792,972,307,373,1084,1315,485,960,425,597,168,118,190,89,25,18,3,2,13,71,59,63,72])).
% 29.70/29.79 cnf(1411,plain,
% 29.70/29.79 (P4(f5(f3(a9),f3(a9)),f5(a9,f7(f3(a9),f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[1399,679,21])).
% 29.70/29.79 cnf(1415,plain,
% 29.70/29.79 (~E(f12(f12(f12(a1))),f12(f4(f12(a1))))),
% 29.70/29.79 inference(scs_inference,[],[1399,678,679,1363,377,21,20,3])).
% 29.70/29.79 cnf(1428,plain,
% 29.70/29.79 (E(f11(f8(f2(a13),x14281)),f11(f8(f2(a10),x14281)))),
% 29.70/29.79 inference(scs_inference,[],[100,98,1399,1388,678,679,1329,1191,1170,1363,497,1370,377,21,20,3,2,52,51,50,22,44,37,9])).
% 29.70/29.79 cnf(1436,plain,
% 29.70/29.79 (P2(f7(f8(a10,f2(a10)),f8(a10,f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[1315,51])).
% 29.70/29.79 cnf(1438,plain,
% 29.70/29.79 (P2(f5(f8(a10,f2(a10)),f8(a10,f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[1315,51,52])).
% 29.70/29.79 cnf(1440,plain,
% 29.70/29.79 (E(f5(f3(f7(a9,a9)),f7(a9,a9)),f5(f7(a9,a9),f3(f7(a9,a9))))),
% 29.70/29.79 inference(scs_inference,[],[783,582,1315,51,52,3])).
% 29.70/29.79 cnf(1444,plain,
% 29.70/29.79 (P5(f2(f11(a10)),f12(f2(f11(a10))))),
% 29.70/29.79 inference(scs_inference,[],[783,1390,582,1370,511,1315,51,52,3,2,46,47])).
% 29.70/29.79 cnf(1446,plain,
% 29.70/29.79 (~E(f12(f12(f2(a10))),a1)),
% 29.70/29.79 inference(scs_inference,[],[783,1390,582,1370,699,511,1315,51,52,3,2,46,47,32])).
% 29.70/29.79 cnf(1491,plain,
% 29.70/29.79 (P2(f8(a13,f12(a1)))),
% 29.70/29.79 inference(scs_inference,[],[93,27,53])).
% 29.70/29.79 cnf(1493,plain,
% 29.70/29.79 (P5(f2(f11(a10)),f2(a10))),
% 29.70/29.79 inference(scs_inference,[],[93,1444,362,27,53,23])).
% 29.70/29.79 cnf(1496,plain,
% 29.70/29.79 (P1(f12(f4(f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[93,605,1093,1415,1444,362,196,27,53,23,3,2,33])).
% 29.70/29.79 cnf(1520,plain,
% 29.70/29.79 (~E(f12(f12(f2(a10))),f4(f12(a1)))),
% 29.70/29.79 inference(scs_inference,[],[1446,436,1137,410,1069,122,71,3])).
% 29.70/29.79 cnf(1521,plain,
% 29.70/29.79 (E(f5(f7(a9,a9),f3(f7(a9,a9))),f5(f3(f7(a9,a9)),f7(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[1440,1446,436,1137,410,1069,122,71,3,2])).
% 29.70/29.79 cnf(1534,plain,
% 29.70/29.79 (E(f6(x15341,f2(a13)),f6(x15341,f2(a10)))),
% 29.70/29.79 inference(rename_variables,[],[102])).
% 29.70/29.79 cnf(1536,plain,
% 29.70/29.79 (~E(f4(f12(a1)),f12(f12(f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[102,1337,1520,3,2])).
% 29.70/29.79 cnf(1545,plain,
% 29.70/29.79 (P4(f7(a9,a9),f7(f5(f7(a9,a9),a9),f5(f7(a9,a9),a9)))),
% 29.70/29.79 inference(scs_inference,[],[102,1534,1337,1428,1520,1397,458,182,655,116,425,109,93,120,25,3,2,48,9,18,68,58,71])).
% 29.70/29.79 cnf(1550,plain,
% 29.70/29.79 (P4(f7(a9,a9),f5(f7(a9,a9),f7(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[1545,428,21])).
% 29.70/29.79 cnf(1551,plain,
% 29.70/29.79 (P4(f3(a9),f7(f5(f7(a9,a9),a9),f5(f7(a9,a9),a9)))),
% 29.70/29.79 inference(scs_inference,[],[1545,729,428,21,20])).
% 29.70/29.79 cnf(1556,plain,
% 29.70/29.79 (~E(f12(f12(f4(f2(a10)))),a1)),
% 29.70/29.79 inference(scs_inference,[],[1545,246,611,729,428,1093,1491,1496,21,20,3,2,46,32])).
% 29.70/29.79 cnf(1564,plain,
% 29.70/29.79 (P2(f3(f8(a13,f12(a1))))),
% 29.70/29.79 inference(scs_inference,[],[1545,246,611,729,428,1093,1491,1496,320,21,20,3,2,46,32,47,39,54,35])).
% 29.70/29.79 cnf(1581,plain,
% 29.70/29.79 (E(f12(f4(f2(a13))),f12(f4(f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[97,1545,246,611,729,428,1093,1491,1496,320,21,20,3,2,46,32,47,39,54,35,42,11,10,8,16,7,51,6,5,12,52,14,15])).
% 29.70/29.79 cnf(1601,plain,
% 29.70/29.79 (P2(f7(f3(f3(a9)),f3(f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[881,51])).
% 29.70/29.79 cnf(1603,plain,
% 29.70/29.79 (P2(f5(f3(f3(a9)),f3(f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[881,51,52])).
% 29.70/29.79 cnf(1605,plain,
% 29.70/29.79 (P4(f7(f5(f7(a9,a9),f7(a9,a9)),f7(a9,a9)),f7(f5(f7(a9,a9),f7(a9,a9)),f5(f7(a9,a9),f7(a9,a9))))),
% 29.70/29.79 inference(scs_inference,[],[1550,234,881,597,122,51,52,71])).
% 29.70/29.79 cnf(1607,plain,
% 29.70/29.79 (~E(a1,f12(f12(f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[1550,1536,234,410,881,597,122,51,52,71,3])).
% 29.70/29.79 cnf(1637,plain,
% 29.70/29.79 (P2(f7(f3(f3(a9)),a9))),
% 29.70/29.79 inference(scs_inference,[],[104,1436,1601,1521,487,1095,949,1493,146,122,75,23,3,2,13,65,18])).
% 29.70/29.79 cnf(1650,plain,
% 29.70/29.79 (E(f7(f7(a9,a9),f3(a9)),f7(f3(a9),a9))),
% 29.70/29.79 inference(scs_inference,[],[732,1092,3])).
% 29.70/29.79 cnf(1657,plain,
% 29.70/29.79 (E(f11(f11(f2(a13))),f11(f11(f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[104,732,1092,1327,1169,418,1069,3,2,65,49,9])).
% 29.70/29.79 cnf(1669,plain,
% 29.70/29.79 (~E(a1,f12(f4(f2(a13))))),
% 29.70/29.79 inference(scs_inference,[],[1342,1581,1080,1071,21,3])).
% 29.70/29.79 cnf(1670,plain,
% 29.70/29.79 (E(f7(f3(a9),f7(f3(a9),f3(a9))),f7(f7(f3(a9),f3(a9)),f3(a9)))),
% 29.70/29.79 inference(scs_inference,[],[493,1342,1581,1080,1071,21,3,2])).
% 29.70/29.79 cnf(1673,plain,
% 29.70/29.79 (~E(f12(f4(f2(a13))),a1)),
% 29.70/29.79 inference(scs_inference,[],[493,1342,1581,1080,1071,126,1203,21,3,2,46,32])).
% 29.70/29.79 cnf(1677,plain,
% 29.70/29.79 (P4(a9,f5(f8(f11(a10),f12(a1)),f8(f11(a10),f12(a1))))),
% 29.70/29.79 inference(scs_inference,[],[493,1637,1342,1581,1080,1071,126,1203,21,3,2,46,32,39,54])).
% 29.70/29.79 cnf(1684,plain,
% 29.70/29.79 (E(f7(x16841,f7(x16842,f2(a13))),f7(x16841,f7(x16842,f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[105,493,1637,1342,1581,1080,1071,126,1037,1203,21,3,2,46,32,39,54,35,42,11,8])).
% 29.70/29.79 cnf(1689,plain,
% 29.70/29.79 (E(f5(f7(x16891,f2(a13)),x16892),f5(f7(x16891,f2(a10)),x16892))),
% 29.70/29.79 inference(scs_inference,[],[105,493,1637,1342,1581,1080,1071,126,1037,1203,21,3,2,46,32,39,54,35,42,11,8,16,10,7,6,5])).
% 29.70/29.79 cnf(1707,plain,
% 29.70/29.79 (P4(f5(f7(a9,a9),f7(a9,a9)),f5(f5(f7(a9,a9),f7(a9,a9)),f5(f7(a9,a9),f7(a9,a9))))),
% 29.70/29.79 inference(scs_inference,[],[1673,1550,322,146,597,122,37,72])).
% 29.70/29.79 cnf(1709,plain,
% 29.70/29.79 (P4(f7(a9,f3(a9)),f7(f3(a9),f7(f3(a9),a9)))),
% 29.70/29.79 inference(scs_inference,[],[1289,674,1673,1550,322,146,597,122,37,72,20])).
% 29.70/29.79 cnf(1711,plain,
% 29.70/29.79 (P4(f7(f5(f7(a9,a9),f7(a9,a9)),f7(a9,a9)),f5(f7(f7(a9,a9),f7(a9,a9)),f7(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[1605,1289,674,1673,1550,456,322,146,597,122,37,72,20,21])).
% 29.70/29.79 cnf(1720,plain,
% 29.70/29.79 (P1(f12(f4(f12(a1))))),
% 29.70/29.79 inference(scs_inference,[],[105,1605,1289,1341,674,1556,1673,1550,456,1637,383,322,146,597,122,37,72,20,21,3,2,38,43,33])).
% 29.70/29.79 cnf(1726,plain,
% 29.70/29.79 (P2(f5(f8(a13,f2(a10)),f8(a13,f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[105,1605,1289,1341,674,1556,1673,1550,456,1637,383,322,835,1291,146,597,122,37,72,20,21,3,2,38,43,33,41,51,52])).
% 29.70/29.79 cnf(1729,plain,
% 29.70/29.79 (P4(f7(a9,a9),f7(f5(a9,f5(a9,a9)),f5(a9,f5(a9,a9))))),
% 29.70/29.79 inference(scs_inference,[],[104,105,1605,1289,1341,674,1556,1673,1550,456,1637,495,383,322,835,1291,146,597,122,25,37,72,20,21,3,2,38,43,33,41,51,52,4,71])).
% 29.70/29.79 cnf(1745,plain,
% 29.70/29.79 (P2(f5(f8(f11(a10),f2(a10)),f8(f11(a10),f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[1167,51,52])).
% 29.70/29.79 cnf(1753,plain,
% 29.70/29.79 (~E(f12(f12(f2(a10))),f12(a1))),
% 29.70/29.79 inference(scs_inference,[],[100,1707,244,1344,1096,751,699,1167,24,51,52,20,3,2,48])).
% 29.70/29.79 cnf(1762,plain,
% 29.70/29.79 (P4(f5(f7(a9,a9),f7(a9,a9)),f5(f7(f5(a9,f5(a9,a9)),f5(a9,f5(a9,a9))),f7(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[1729,1264,150,146,122,72])).
% 29.70/29.79 cnf(1765,plain,
% 29.70/29.79 (P2(f7(a9,f3(f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[1729,1670,950,1264,1601,1319,150,146,122,72,21,18])).
% 29.70/29.79 cnf(1767,plain,
% 29.70/29.79 (~E(f12(f12(f2(a10))),f12(f4(f12(a1))))),
% 29.70/29.79 inference(scs_inference,[],[1729,1670,1753,950,1264,1601,1319,377,150,146,122,72,21,18,3])).
% 29.70/29.79 cnf(1768,plain,
% 29.70/29.79 (~E(f12(a1),f12(f12(f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[1729,1670,1753,950,1264,1601,1319,377,150,146,122,72,21,18,3,2])).
% 29.70/29.79 cnf(1771,plain,
% 29.70/29.79 (~E(f12(f2(a10)),f4(f12(a1)))),
% 29.70/29.79 inference(scs_inference,[],[1729,1670,1607,1753,950,1264,1601,1319,377,150,146,24,122,72,21,18,3,2,48,15])).
% 29.70/29.79 cnf(1784,plain,
% 29.70/29.79 (E(f5(x17841,f7(a9,a9)),f5(x17841,a9))),
% 29.70/29.79 inference(rename_variables,[],[1095])).
% 29.70/29.79 cnf(1788,plain,
% 29.70/29.79 (E(f5(x17881,f2(a13)),f5(x17881,f2(a10)))),
% 29.70/29.79 inference(rename_variables,[],[107])).
% 29.70/29.79 cnf(1793,plain,
% 29.70/29.79 (~E(f12(f12(f4(f12(a1)))),a1)),
% 29.70/29.79 inference(scs_inference,[],[107,1762,1711,249,1345,1095,1784,1720,1315,33,15,21,20,3,2,46,32])).
% 29.70/29.79 cnf(1814,plain,
% 29.70/29.79 (P4(f5(a9,a9),f5(f8(a10,f2(a10)),f8(a10,f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[107,1788,1438,1762,1711,249,1765,1345,1095,1784,1720,367,1315,120,25,33,15,21,20,3,2,46,32,35,54,39,42,8,11,10,16,7,6,5,12,14,50,63])).
% 29.70/29.79 cnf(1822,plain,
% 29.70/29.79 (~E(f12(f4(f12(a1))),f12(f12(f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[1768,1767,15,2])).
% 29.70/29.79 cnf(1828,plain,
% 29.70/29.79 (P4(f8(f11(a13),f2(a13)),f8(f11(a13),f2(a13)))),
% 29.70/29.79 inference(scs_inference,[],[107,1689,1768,1767,1388,1037,15,2,3,38,43])).
% 29.70/29.79 cnf(1835,plain,
% 29.70/29.79 (P4(f7(f7(a9,a9),f7(a9,a9)),f7(f5(f3(a9),f3(a9)),f5(f3(a9),f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[101,107,1689,1768,1767,550,1388,1037,898,951,122,15,2,3,38,43,41,4,64,71])).
% 29.70/29.79 cnf(1837,plain,
% 29.70/29.79 (P2(f5(a9,f3(f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[101,107,1689,1768,1767,959,1603,550,1388,1037,898,951,122,15,2,3,38,43,41,4,64,71,18])).
% 29.70/29.79 cnf(1850,plain,
% 29.70/29.79 (P5(a1,f12(f4(f12(a1))))),
% 29.70/29.79 inference(scs_inference,[],[102,501,410,15,22])).
% 29.70/29.79 cnf(1852,plain,
% 29.70/29.79 (~E(f12(f2(a13)),f4(f12(a1)))),
% 29.70/29.79 inference(scs_inference,[],[102,180,1771,501,534,410,15,22,2,3])).
% 29.70/29.79 cnf(1855,plain,
% 29.70/29.79 (P2(f5(f8(f11(a10),f12(a1)),f8(f11(a10),f12(a1))))),
% 29.70/29.79 inference(scs_inference,[],[102,180,1771,501,534,410,1203,15,22,2,3,51,52])).
% 29.70/29.79 cnf(1862,plain,
% 29.70/29.79 (P1(f12(f2(f11(a10))))),
% 29.70/29.79 inference(scs_inference,[],[102,108,1814,180,1771,1438,501,534,866,511,410,1203,174,120,15,22,2,3,51,52,13,71,59,33])).
% 29.70/29.79 cnf(1873,plain,
% 29.70/29.79 (P2(f7(f7(f5(a9,a9),a9),f7(f5(a9,a9),a9)))),
% 29.70/29.79 inference(scs_inference,[],[898,51])).
% 29.70/29.79 cnf(1878,plain,
% 29.70/29.79 (~E(f4(f12(a1)),f12(f2(a13)))),
% 29.70/29.79 inference(scs_inference,[],[1822,1852,898,51,52,15,2])).
% 29.70/29.79 cnf(1882,plain,
% 29.70/29.79 (P4(f5(a9,f3(f3(a9))),f5(a9,f3(f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[108,107,1822,1852,1837,898,51,52,15,2,3,50])).
% 29.70/29.79 cnf(1902,plain,
% 29.70/29.79 (P2(f5(f3(f3(a9)),a9))),
% 29.70/29.79 inference(scs_inference,[],[103,876,1837,15,18])).
% 29.70/29.79 cnf(1905,plain,
% 29.70/29.79 (E(f6(f2(a13),x19051),f6(f2(a10),x19051))),
% 29.70/29.79 inference(rename_variables,[],[103])).
% 29.70/29.79 cnf(1928,plain,
% 29.70/29.79 (P4(f7(a9,a9),f7(a9,f5(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[103,1905,109,198,876,1339,1862,1837,1003,1167,77,120,25,15,18,2,3,46,54,32,35,39,42,11,8,16,10,7,6,12,5,14,71])).
% 29.70/29.79 cnf(1931,plain,
% 29.70/29.79 (P4(f5(f3(f3(a9)),a9),f5(a9,f3(f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[103,1905,109,1882,198,876,1339,1850,1862,1837,1003,1167,77,120,25,15,18,2,3,46,54,32,35,39,42,11,8,16,10,7,6,12,5,14,71,22,20])).
% 29.70/29.79 cnf(1932,plain,
% 29.70/29.79 (P4(f5(a9,f3(f3(a9))),f5(f3(f3(a9)),a9))),
% 29.70/29.79 inference(scs_inference,[],[103,1905,109,1882,198,876,1339,1850,1862,1837,1003,1167,77,120,25,15,18,2,3,46,54,32,35,39,42,11,8,16,10,7,6,12,5,14,71,22,20,21])).
% 29.70/29.79 cnf(1951,plain,
% 29.70/29.79 (P4(f7(a9,f5(a9,a9)),f5(a9,a9))),
% 29.70/29.79 inference(scs_inference,[],[109,1828,1254,1037,120,25,71,20])).
% 29.70/29.79 cnf(1952,plain,
% 29.70/29.79 (P4(f7(f7(a9,a9),f7(a9,a9)),f5(f7(f3(a9),f3(a9)),f3(a9)))),
% 29.70/29.79 inference(scs_inference,[],[109,1835,1828,491,1254,1037,120,25,71,20,21])).
% 29.70/29.79 cnf(1954,plain,
% 29.70/29.79 (~E(a1,f12(f2(a13)))),
% 29.70/29.79 inference(scs_inference,[],[109,1835,1828,1878,1793,491,1254,410,1037,120,25,71,20,21,2,3])).
% 29.70/29.79 cnf(1975,plain,
% 29.70/29.79 (E(a9,f7(f3(a9),a9))),
% 29.70/29.79 inference(scs_inference,[],[104,111,1931,1932,1902,1837,15,59,2])).
% 29.70/29.79 cnf(1976,plain,
% 29.70/29.79 (E(f7(f3(a9),a9),f7(a9,f5(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[104,111,1931,1932,1902,1254,1837,15,59,2,3])).
% 29.70/29.79 cnf(1981,plain,
% 29.70/29.79 (~E(f12(f12(f2(f11(a10)))),f12(a1))),
% 29.70/29.79 inference(scs_inference,[],[104,111,1931,1932,1862,1902,703,1254,1837,24,15,59,2,3,211,213,48])).
% 29.70/29.79 cnf(1986,plain,
% 29.70/29.79 (P4(f5(a9,f5(a9,a9)),f5(a9,f5(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[104,111,1931,1932,1862,1902,703,1254,1837,835,24,15,59,2,3,211,213,48,33,13,50])).
% 29.70/29.79 cnf(1990,plain,
% 29.70/29.79 (P2(f5(f5(a9,a9),a9))),
% 29.70/29.79 inference(scs_inference,[],[104,111,109,1726,1931,1932,1335,578,1862,1902,703,1254,1837,835,24,120,25,15,59,2,3,211,213,48,33,13,50,71,18])).
% 29.70/29.79 cnf(1991,plain,
% 29.70/29.79 (P4(a9,f5(f5(f5(a9,a9),a9),f5(f5(a9,a9),a9)))),
% 29.70/29.79 inference(scs_inference,[],[104,111,109,1726,1931,1932,1335,578,1862,184,1902,703,1254,1837,835,24,120,25,15,59,2,3,211,213,48,33,13,50,71,18,65])).
% 29.70/29.79 cnf(2003,plain,
% 29.70/29.79 (P2(f7(f5(f5(a9,a9),a9),f5(f5(a9,a9),a9)))),
% 29.70/29.79 inference(scs_inference,[],[111,109,1990,1650,1981,1669,184,322,24,120,2,3,68,48,51])).
% 29.70/29.79 cnf(2005,plain,
% 29.70/29.79 (P2(f5(f5(f5(a9,a9),a9),f5(f5(a9,a9),a9)))),
% 29.70/29.79 inference(scs_inference,[],[111,109,1990,1650,1981,1669,184,322,24,120,2,3,68,48,51,52])).
% 29.70/29.79 cnf(2015,plain,
% 29.70/29.79 (P2(f7(f8(f11(a13),f2(a13)),f8(f11(a13),f2(a13))))),
% 29.70/29.79 inference(scs_inference,[],[1037,51])).
% 29.70/29.79 cnf(2017,plain,
% 29.70/29.79 (P2(f5(f8(f11(a13),f2(a13)),f8(f11(a13),f2(a13))))),
% 29.70/29.79 inference(scs_inference,[],[1037,51,52])).
% 29.70/29.79 cnf(2024,plain,
% 29.70/29.79 (P4(f7(f3(a9),f3(a9)),a9)),
% 29.70/29.79 inference(scs_inference,[],[113,111,109,1745,1197,1709,697,781,866,498,1037,174,120,51,52,65,71,20,21])).
% 29.70/29.79 cnf(2025,plain,
% 29.70/29.79 (E(a9,f7(a9,f3(a9)))),
% 29.70/29.79 inference(scs_inference,[],[113,111,109,1745,1197,1709,697,781,866,498,1037,174,120,51,52,65,71,20,21,2])).
% 29.70/29.79 cnf(2030,plain,
% 29.70/29.79 (~E(f12(f12(f12(a1))),a1)),
% 29.70/29.79 inference(scs_inference,[],[113,111,109,1745,1197,1709,697,781,1990,1061,866,498,648,1037,174,120,51,52,65,71,20,21,2,46,54,32])).
% 29.70/29.79 cnf(2039,plain,
% 29.70/29.79 (E(f7(x20391,f7(a9,f3(a9))),f7(x20391,a9))),
% 29.70/29.79 inference(scs_inference,[],[113,111,109,1745,1197,1709,697,781,1564,1990,1061,866,498,648,1037,174,120,51,52,65,71,20,21,2,46,54,32,35,39,42,11,8])).
% 29.70/29.79 cnf(2042,plain,
% 29.70/29.79 (E(f7(f7(a9,f3(a9)),x20421),f7(a9,x20421))),
% 29.70/29.79 inference(scs_inference,[],[113,111,109,1745,1197,1709,697,781,1564,1990,1061,866,498,648,1037,174,120,51,52,65,71,20,21,2,46,54,32,35,39,42,11,8,16,10,7])).
% 29.70/29.79 cnf(2043,plain,
% 29.70/29.79 (E(f5(x20431,f7(a9,f3(a9))),f5(x20431,a9))),
% 29.70/29.79 inference(scs_inference,[],[113,111,109,1745,1197,1709,697,781,1564,1990,1061,866,498,648,1037,174,120,51,52,65,71,20,21,2,46,54,32,35,39,42,11,8,16,10,7,6])).
% 29.70/29.79 cnf(2045,plain,
% 29.70/29.79 (E(f3(f7(a9,f3(a9))),f3(a9))),
% 29.70/29.79 inference(scs_inference,[],[113,111,109,1745,1197,1709,697,781,1564,1990,1061,866,498,648,1037,174,120,51,52,65,71,20,21,2,46,54,32,35,39,42,11,8,16,10,7,6,5,12])).
% 29.70/29.79 cnf(2048,plain,
% 29.70/29.79 (~E(f12(f12(f12(a1))),f4(f12(a1)))),
% 29.70/29.79 inference(scs_inference,[],[113,111,109,1745,1236,1197,1709,697,781,1564,1990,1061,866,498,410,648,1037,174,120,51,52,65,71,20,21,2,46,54,32,35,39,42,11,8,16,10,7,6,5,12,14,17,3])).
% 29.70/29.79 cnf(2067,plain,
% 29.70/29.79 (E(a9,f7(f3(a9),f3(a9)))),
% 29.70/29.79 inference(scs_inference,[],[2024,912,960,25,59])).
% 29.70/29.79 cnf(2071,plain,
% 29.70/29.79 (P4(f7(a9,f3(a9)),f5(a9,a9))),
% 29.70/29.79 inference(scs_inference,[],[109,2015,2024,2025,1340,912,960,25,59,18,20])).
% 29.70/29.79 cnf(2074,plain,
% 29.70/29.79 (E(f7(f3(a9),a9),f7(a9,f3(a9)))),
% 29.70/29.79 inference(scs_inference,[],[111,109,1928,2015,2048,2024,2025,576,1340,912,960,25,59,18,20,21,2,3])).
% 29.70/29.79 cnf(2077,plain,
% 29.70/29.79 (P4(f5(f5(a9,a9),a9),f5(f5(a9,a9),a9))),
% 29.70/29.79 inference(scs_inference,[],[111,109,1928,2015,2048,2024,2025,576,1340,1765,1990,912,960,25,59,18,20,21,2,3,38,43])).
% 29.70/29.79 cnf(2092,plain,
% 29.70/29.79 (E(f7(a9,f5(a9,a9)),f7(f3(a9),a9))),
% 29.70/29.79 inference(scs_inference,[],[109,1976,184,1990,120,64,2])).
% 29.70/29.79 cnf(2100,plain,
% 29.70/29.79 (E(f8(x21001,f2(a13)),f8(a13,f2(a13)))+~E(x21001,f11(a13))),
% 29.70/29.79 inference(scs_inference,[],[106,116,109,1976,1684,2067,184,1990,29,27,120,64,2,3,211,213,58])).
% 29.70/29.79 cnf(2102,plain,
% 29.70/29.79 (P1(f12(f12(f2(a13))))),
% 29.70/29.79 inference(scs_inference,[],[106,116,109,1976,1684,2067,184,655,1990,29,27,120,64,2,3,211,213,58,33])).
% 29.70/29.79 cnf(2104,plain,
% 29.70/29.79 (P2(f8(a13,f2(a13)))),
% 29.70/29.79 inference(scs_inference,[],[106,116,109,1976,1684,2067,184,655,1990,29,27,120,64,2,3,211,213,58,33,53])).
% 29.70/29.79 cnf(2118,plain,
% 29.70/29.79 (E(f8(f11(a13),f2(a13)),f8(a13,f2(a13)))),
% 29.70/29.79 inference(equality_inference,[],[2100])).
% 29.70/29.79 cnf(2119,plain,
% 29.70/29.79 (P2(f7(a9,f3(a9)))),
% 29.70/29.79 inference(scs_inference,[],[2025,210])).
% 29.70/29.79 cnf(2124,plain,
% 29.70/29.79 (P2(f5(f5(a9,a9),f7(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[109,2003,574,2104,559,2025,379,120,25,210,42,71,18])).
% 29.70/29.79 cnf(2146,plain,
% 29.70/29.79 (P4(f7(a9,f3(a9)),f5(f8(a10,f2(a10)),f8(a10,f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[109,1855,2071,2119,1677,1814,1438,120,64,65,63])).
% 29.70/29.79 cnf(2148,plain,
% 29.70/29.79 (P4(f7(a9,f3(a9)),f7(f3(a9),a9))),
% 29.70/29.79 inference(scs_inference,[],[109,1855,2071,2074,2119,1677,1814,1438,1137,120,64,65,63,20])).
% 29.70/29.79 cnf(2149,plain,
% 29.70/29.79 (P4(f7(a9,a9),f7(a9,f3(a9)))),
% 29.70/29.79 inference(scs_inference,[],[109,1855,2071,2074,2119,1677,1814,1438,436,1137,120,64,65,63,20,21])).
% 29.70/29.79 cnf(2158,plain,
% 29.70/29.79 (~E(f12(f12(f12(f2(a13)))),a1)),
% 29.70/29.79 inference(scs_inference,[],[109,1855,2017,2071,2074,2119,381,130,941,1677,2102,1814,1342,1438,436,1137,120,64,65,63,20,21,18,2,3,46,54,32])).
% 29.70/29.79 cnf(2162,plain,
% 29.70/29.79 (P2(f3(f7(a9,f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[109,1855,2017,2071,2074,2119,381,130,941,1677,2102,1814,1342,1438,436,1137,120,64,65,63,20,21,18,2,3,46,54,32,39,35])).
% 29.70/29.79 cnf(2172,plain,
% 29.70/29.79 (P2(f7(f7(a9,f3(a9)),f7(a9,f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[108,109,1855,2017,2071,2074,2119,381,130,941,1677,2102,1814,1342,1438,436,1137,120,64,65,63,20,21,18,2,3,46,54,32,39,35,11,16,8,10,7,6,5,12,51])).
% 29.70/29.79 cnf(2174,plain,
% 29.70/29.79 (P2(f5(f7(a9,f3(a9)),f7(a9,f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[108,109,1855,2017,2071,2074,2119,381,130,941,1677,2102,1814,1342,1438,436,1137,120,64,65,63,20,21,18,2,3,46,54,32,39,35,11,16,8,10,7,6,5,12,51,52])).
% 29.70/29.79 cnf(2177,plain,
% 29.70/29.79 (E(f8(x21771,f2(a13)),f8(a10,f2(a13)))+~E(x21771,f11(a10))),
% 29.70/29.79 inference(scs_inference,[],[108,116,117,109,1855,2017,2071,2074,2119,381,130,941,1677,2102,1814,1342,1438,436,1137,26,120,64,65,63,20,21,18,2,3,46,54,32,39,35,11,16,8,10,7,6,5,12,51,52,14,58])).
% 29.70/29.79 cnf(2188,plain,
% 29.70/29.79 (E(f8(f11(a10),f2(a13)),f8(a10,f2(a13)))),
% 29.70/29.79 inference(equality_inference,[],[2177])).
% 29.70/29.79 cnf(2199,plain,
% 29.70/29.79 (P4(f7(f3(a9),a9),f5(a9,a9))),
% 29.70/29.79 inference(scs_inference,[],[109,2077,2124,1975,184,1990,120,25,41,51,52,64,71,20])).
% 29.70/29.79 cnf(2200,plain,
% 29.70/29.79 (P4(f5(a9,f5(a9,a9)),a9)),
% 29.70/29.79 inference(scs_inference,[],[109,1986,2077,2124,1975,704,184,1990,120,25,41,51,52,64,71,20,21])).
% 29.70/29.79 cnf(2206,plain,
% 29.70/29.79 (P4(f5(f5(a9,a9),f7(a9,a9)),f5(f5(a9,a9),f7(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[113,109,1986,2077,2124,2042,2158,1975,704,184,1990,120,25,41,51,52,64,71,20,21,3,2,38,43])).
% 29.70/29.79 cnf(2211,plain,
% 29.70/29.79 (P2(f8(f11(a10),f2(a13)))),
% 29.70/29.79 inference(scs_inference,[],[107,116,113,109,1986,2077,2124,1657,2042,2158,1975,704,184,1990,452,120,25,41,51,52,64,71,20,21,3,2,38,43,4,44,53])).
% 29.70/29.79 cnf(2227,plain,
% 29.70/29.79 (P2(f8(a10,f2(a13)))),
% 29.70/29.79 inference(scs_inference,[],[118,109,2188,2211,2200,835,120,25,42,63,18])).
% 29.70/29.79 cnf(2240,plain,
% 29.70/29.79 (P4(f7(a9,a9),f7(f5(a9,a9),f5(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[113,118,109,590,2188,2211,2200,2030,2102,918,2025,373,1131,835,24,120,25,42,63,18,2,211,213,33,48,13,72,71])).
% 29.70/29.79 cnf(2253,plain,
% 29.70/29.79 (E(a9,f5(a9,f5(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[118,109,2200,373,495,835,120,25,71,59])).
% 29.70/29.79 cnf(2255,plain,
% 29.70/29.79 (P4(f8(a13,f2(a13)),f8(f11(a13),f2(a13)))),
% 29.70/29.79 inference(scs_inference,[],[118,109,2118,1828,2200,373,495,835,120,25,71,59,20])).
% 29.70/29.79 cnf(2256,plain,
% 29.70/29.79 (P4(f7(a9,f3(a9)),a9)),
% 29.70/29.79 inference(scs_inference,[],[111,118,109,2148,2118,1828,2200,373,495,835,120,25,71,59,20,21])).
% 29.70/29.79 cnf(2289,plain,
% 29.70/29.79 (E(f7(a9,f5(a9,a9)),f5(a9,a9))),
% 29.70/29.79 inference(scs_inference,[],[120,42])).
% 29.70/29.79 cnf(2293,plain,
% 29.70/29.79 (P4(f3(f3(a9)),f7(a9,f3(a9)))),
% 29.70/29.79 inference(scs_inference,[],[109,120,2149,892,1814,1438,78,42,72,20])).
% 29.70/29.79 cnf(2294,plain,
% 29.70/29.79 (P4(f7(f3(a9),a9),f7(a9,a9))),
% 29.70/29.79 inference(scs_inference,[],[109,120,2149,2199,924,892,1814,1438,78,42,72,20,21])).
% 29.70/29.79 cnf(2295,plain,
% 29.70/29.79 (P2(f7(f7(a9,f3(a9)),a9))),
% 29.70/29.79 inference(scs_inference,[],[109,120,2149,2172,2199,2039,924,892,1814,1438,78,42,72,20,21,18])).
% 29.70/29.79 cnf(2297,plain,
% 29.70/29.79 (E(f5(f3(a9),a9),f3(f5(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[109,120,2149,2172,2199,128,2039,924,892,1814,1438,78,42,72,20,21,18,2])).
% 29.70/29.79 cnf(2303,plain,
% 29.70/29.79 (P4(a9,f5(f8(a10,a1),f8(a10,a1)))),
% 29.70/29.79 inference(scs_inference,[],[109,113,118,120,2149,2172,2199,128,2039,924,892,805,1814,1438,78,42,72,20,21,18,2,3,1112,46,54])).
% 29.70/29.79 cnf(2305,plain,
% 29.70/29.79 (~E(f12(f12(f2(a13))),a1)),
% 29.70/29.79 inference(scs_inference,[],[109,113,118,120,2149,2172,2199,128,2039,924,892,805,1814,1438,655,78,42,72,20,21,18,2,3,1112,46,54,32])).
% 29.70/29.79 cnf(2309,plain,
% 29.70/29.79 (P2(f3(f8(a10,a1)))),
% 29.70/29.79 inference(scs_inference,[],[109,113,118,120,2149,2172,2199,128,2039,924,892,805,1814,1438,655,78,42,72,20,21,18,2,3,1112,46,54,32,39,35])).
% 29.70/29.79 cnf(2313,plain,
% 29.70/29.79 (E(f7(x23131,f7(f3(a9),a9)),f7(x23131,a9))),
% 29.70/29.79 inference(scs_inference,[],[109,111,113,118,120,2149,2172,2199,128,2039,924,892,805,1814,1438,655,78,42,72,20,21,18,2,3,1112,46,54,32,39,35,11,16,8])).
% 29.70/29.79 cnf(2315,plain,
% 29.70/29.79 (E(f7(f7(f3(a9),a9),x23151),f7(a9,x23151))),
% 29.70/29.79 inference(scs_inference,[],[109,111,113,118,120,2149,2172,2199,128,2039,924,892,805,1814,1438,655,78,42,72,20,21,18,2,3,1112,46,54,32,39,35,11,16,8,10,7])).
% 29.70/29.79 cnf(2327,plain,
% 29.70/29.79 (P4(f3(f7(a9,f3(a9))),f3(f7(a9,f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[109,111,116,113,118,120,2149,2162,2172,2199,128,2255,2039,924,892,805,1814,2104,2102,1438,655,78,1037,277,42,72,20,21,18,2,3,1112,46,54,32,39,35,11,16,8,10,7,5,6,12,14,59,851,58,37,50])).
% 29.70/29.79 cnf(2338,plain,
% 29.70/29.79 (P4(f5(a9,f5(a9,a9)),f5(f5(a9,a9),a9))),
% 29.70/29.79 inference(scs_inference,[],[109,120,206,367,898,25,64,72])).
% 29.70/29.79 cnf(2345,plain,
% 29.70/29.79 (~E(f12(f12(f2(a13))),f4(f12(a1)))),
% 29.70/29.79 inference(scs_inference,[],[109,120,2174,2043,2305,2024,206,367,912,898,410,960,25,64,72,59,18,2,3])).
% 29.70/29.79 cnf(2353,plain,
% 29.70/29.79 (P2(f5(f8(a10,a1),f8(a10,a1)))),
% 29.70/29.79 inference(scs_inference,[],[109,113,118,120,2174,2295,2043,2309,2305,2024,206,367,912,898,410,960,25,64,72,59,18,2,3,38,43,51,4,52])).
% 29.70/29.79 cnf(2361,plain,
% 29.70/29.79 (P2(f7(f7(a9,a9),f7(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[122,51])).
% 29.70/29.79 cnf(2366,plain,
% 29.70/29.79 (E(f5(a9,a9),f7(a9,f5(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[111,122,2289,2353,2253,51,52,3,2])).
% 29.70/29.79 cnf(2371,plain,
% 29.70/29.79 (P1(f12(f2(f11(a13))))),
% 29.70/29.79 inference(scs_inference,[],[111,122,2289,2353,2253,320,51,52,3,2,211,213,33])).
% 29.70/29.79 cnf(2377,plain,
% 29.70/29.79 (E(f8(f7(a9,f5(a9,a9)),x23771),f8(f7(f3(a9),a9),x23771))),
% 29.70/29.79 inference(scs_inference,[],[111,122,2092,2289,2353,2253,1170,320,51,52,3,2,211,213,33,41,37,13])).
% 29.70/29.79 cnf(2387,plain,
% 29.70/29.79 (~E(f12(a1),f12(f12(f2(f11(a13)))))),
% 29.70/29.79 inference(scs_inference,[],[111,122,2092,2240,2289,2294,2353,1247,2253,1170,2303,418,320,146,1069,176,25,51,52,3,2,211,213,33,41,37,13,65,64,15,72,63,1043])).
% 29.70/29.79 cnf(2398,plain,
% 29.70/29.79 (P4(a9,f7(f7(a9,a9),f7(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[113,122,2387,2315,146,3,2,64])).
% 29.70/29.79 cnf(2438,plain,
% 29.70/29.79 (P4(a9,f5(f7(f3(a9),f3(a9)),f3(a9)))),
% 29.70/29.79 inference(scs_inference,[],[1952,2371,2398,2361,993,27,25,53,65,63])).
% 29.70/29.79 cnf(2440,plain,
% 29.70/29.79 (P4(f5(a9,f7(a9,a9)),f5(f5(a9,a9),f7(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[2206,1952,2371,2398,2361,813,993,27,25,53,65,63,20])).
% 29.70/29.79 cnf(2441,plain,
% 29.70/29.79 (E(f5(f5(a9,a9),x24411),f5(a9,x24411))),
% 29.70/29.79 inference(rename_variables,[],[813])).
% 29.70/29.79 cnf(2442,plain,
% 29.70/29.79 (P4(f5(f5(a9,a9),f7(a9,a9)),f5(a9,f7(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[2206,1952,2371,2398,2361,813,2441,993,27,25,53,65,63,20,21])).
% 29.70/29.79 cnf(2452,plain,
% 29.70/29.79 (E(f5(a9,f7(a9,a9)),a9)),
% 29.70/29.79 inference(scs_inference,[],[124,122,2206,1952,2371,2398,2361,2227,813,2441,993,27,25,53,65,63,20,21,2,1023,46,54,32,39])).
% 29.70/29.79 cnf(2454,plain,
% 29.70/29.79 (P2(f3(f7(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[124,122,2206,1952,2371,2398,2361,2227,813,2441,993,27,25,53,65,63,20,21,2,1023,46,54,32,39,35])).
% 29.70/29.79 cnf(2456,plain,
% 29.70/29.79 (E(f6(x24561,f5(a9,a9)),f6(x24561,f7(a9,f5(a9,a9))))),
% 29.70/29.79 inference(scs_inference,[],[124,122,2206,2366,1952,2371,2398,2361,2227,813,2441,993,27,25,53,65,63,20,21,2,1023,46,54,32,39,35,11])).
% 29.70/29.79 cnf(2457,plain,
% 29.70/29.79 (E(f4(f5(a9,a9)),f4(f7(a9,f5(a9,a9))))),
% 29.70/29.79 inference(scs_inference,[],[124,122,2206,2366,1952,2371,2398,2361,2227,813,2441,993,27,25,53,65,63,20,21,2,1023,46,54,32,39,35,11,16])).
% 29.70/29.79 cnf(2458,plain,
% 29.70/29.79 (E(f6(f5(a9,a9),x24581),f6(f7(a9,f5(a9,a9)),x24581))),
% 29.70/29.79 inference(scs_inference,[],[124,122,2206,2366,1952,2371,2398,2361,2227,813,2441,993,27,25,53,65,63,20,21,2,1023,46,54,32,39,35,11,16,10])).
% 29.70/29.79 cnf(2459,plain,
% 29.70/29.79 (E(f7(x24591,f5(a9,a9)),f7(x24591,f7(a9,f5(a9,a9))))),
% 29.70/29.79 inference(scs_inference,[],[124,122,2206,2366,1952,2371,2398,2361,2227,813,2441,993,27,25,53,65,63,20,21,2,1023,46,54,32,39,35,11,16,10,8])).
% 29.70/29.79 cnf(2460,plain,
% 29.70/29.79 (E(f7(f5(a9,a9),x24601),f7(f7(a9,f5(a9,a9)),x24601))),
% 29.70/29.79 inference(scs_inference,[],[124,122,2206,2366,1952,2371,2398,2361,2227,813,2441,993,27,25,53,65,63,20,21,2,1023,46,54,32,39,35,11,16,10,8,7])).
% 29.70/29.79 cnf(2461,plain,
% 29.70/29.79 (E(f5(f5(a9,a9),x24611),f5(f7(a9,f5(a9,a9)),x24611))),
% 29.70/29.79 inference(scs_inference,[],[124,122,2206,2366,1952,2371,2398,2361,2227,813,2441,993,27,25,53,65,63,20,21,2,1023,46,54,32,39,35,11,16,10,8,7,5])).
% 29.70/29.79 cnf(2462,plain,
% 29.70/29.79 (E(f5(x24621,f5(a9,a9)),f5(x24621,f7(a9,f5(a9,a9))))),
% 29.70/29.79 inference(scs_inference,[],[124,122,2206,2366,1952,2371,2398,2361,2227,813,2441,993,27,25,53,65,63,20,21,2,1023,46,54,32,39,35,11,16,10,8,7,5,6])).
% 29.70/29.79 cnf(2464,plain,
% 29.70/29.79 (E(f8(x24641,f5(a9,a9)),f8(x24641,f7(a9,f5(a9,a9))))),
% 29.70/29.79 inference(scs_inference,[],[124,122,2206,2366,1952,2371,2398,2361,2227,813,2441,993,27,25,53,65,63,20,21,2,1023,46,54,32,39,35,11,16,10,8,7,5,6,12,14])).
% 29.70/29.79 cnf(2485,plain,
% 29.70/29.79 (P4(f7(f7(a9,f3(a9)),f7(a9,f3(a9))),f7(a9,a9))),
% 29.70/29.79 inference(scs_inference,[],[118,122,2454,2005,1991,2345,2256,2119,25,2,38,43,64,71])).
% 29.70/29.79 cnf(2497,plain,
% 29.70/29.79 (E(f8(f7(a9,f5(a9,a9)),f5(a9,a9)),f8(f7(f3(a9),a9),f7(a9,f5(a9,a9))))),
% 29.70/29.79 inference(scs_inference,[],[2377,2464,3])).
% 29.70/29.79 cnf(2498,plain,
% 29.70/29.79 (E(f8(f7(a9,f5(a9,a9)),x24981),f8(f7(f3(a9),a9),x24981))),
% 29.70/29.79 inference(rename_variables,[],[2377])).
% 29.70/29.79 cnf(2500,plain,
% 29.70/29.79 (E(f8(f7(f3(a9),a9),x25001),f8(f7(a9,f5(a9,a9)),x25001))),
% 29.70/29.79 inference(scs_inference,[],[2377,2498,2464,3,2])).
% 29.70/29.79 cnf(2538,plain,
% 29.70/29.79 (P2(f5(f8(f11(a10),f2(a13)),f8(f11(a10),f2(a13))))),
% 29.70/29.79 inference(scs_inference,[],[2211,51,52])).
% 29.70/29.79 cnf(2542,plain,
% 29.70/29.79 (P2(f7(f7(f3(a9),a9),a9))),
% 29.70/29.79 inference(scs_inference,[],[118,2338,1127,2313,2211,373,1990,835,51,52,71,18])).
% 29.70/29.79 cnf(2544,plain,
% 29.70/29.79 (E(f6(f5(a9,a9),f5(a9,a9)),f6(f7(a9,f5(a9,a9)),f7(a9,f5(a9,a9))))),
% 29.70/29.79 inference(scs_inference,[],[118,2338,2456,2458,1127,2313,2211,373,1990,835,51,52,71,18,3])).
% 29.70/29.79 cnf(2567,plain,
% 29.70/29.79 (P4(f5(f7(a9,f5(a9,a9)),f7(a9,a9)),f5(a9,f7(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[118,2461,2438,2442,373,993,77,25,72,20])).
% 29.70/29.79 cnf(2568,plain,
% 29.70/29.79 (E(f5(f5(a9,a9),x25681),f5(f7(a9,f5(a9,a9)),x25681))),
% 29.70/29.79 inference(rename_variables,[],[2461])).
% 29.70/29.79 cnf(2580,plain,
% 29.70/29.79 (P2(f3(f5(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[118,120,2457,2459,2461,2568,2542,2438,2440,2442,2309,373,993,870,77,25,72,20,21,18,2,46,54,39,35])).
% 29.70/29.79 cnf(2582,plain,
% 29.70/29.79 (P2(f8(a10,f4(f2(a13))))),
% 29.70/29.79 inference(scs_inference,[],[126,118,120,2457,2459,2461,2568,2542,2438,2440,2442,2309,373,993,870,26,77,25,72,20,21,18,2,46,54,39,35,53])).
% 29.70/29.79 cnf(2614,plain,
% 29.70/29.79 (P4(f3(a9),f3(f7(a9,f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[128,122,2327,2045,2438,993,146,65,9,20])).
% 29.70/29.79 cnf(2615,plain,
% 29.70/29.79 (P4(f3(f7(a9,f3(a9))),f3(a9))),
% 29.70/29.79 inference(scs_inference,[],[128,122,2327,2045,2438,993,146,65,9,20,21])).
% 29.70/29.79 cnf(2616,plain,
% 29.70/29.79 (E(f5(a9,f5(a9,a9)),f5(f7(a9,f5(a9,a9)),a9))),
% 29.70/29.79 inference(scs_inference,[],[128,122,2327,2462,1258,2045,2438,993,146,65,9,20,21,3])).
% 29.70/29.79 cnf(2644,plain,
% 29.70/29.79 (P1(f12(f12(f2(a10))))),
% 29.70/29.79 inference(scs_inference,[],[130,2297,1551,2293,584,2146,2438,1438,699,881,2119,168,993,190,89,65,64,72,63,3,2,33])).
% 29.70/29.79 cnf(2674,plain,
% 29.70/29.79 (P4(f5(f7(a9,f5(a9,a9)),a9),f5(a9,f5(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[2616,2644,2614,2615,1986,2162,89,32,59,20])).
% 29.70/29.79 cnf(2675,plain,
% 29.70/29.79 (P4(f5(a9,f5(a9,a9)),f5(f7(a9,f5(a9,a9)),a9))),
% 29.70/29.79 inference(scs_inference,[],[2616,2644,2614,2615,1986,2162,89,32,59,20,21])).
% 29.70/29.79 cnf(2733,plain,
% 29.70/29.79 (E(f8(x27331,f5(f3(a9),f3(a9))),f8(x27331,f5(a9,a9)))),
% 29.70/29.79 inference(scs_inference,[],[120,132,122,2460,2567,1359,2452,2582,615,1873,2199,1928,1095,1951,2227,2104,1232,78,870,1069,109,51,65,52,72,71,9,20,21,3,2,54,46,39,35,11,16,8,10,7,5,14])).
% 29.70/29.79 cnf(2776,plain,
% 29.70/29.79 (E(f5(x27761,f5(a9,a9)),f5(x27761,f7(a9,f5(a9,a9))))),
% 29.70/29.79 inference(rename_variables,[],[2462])).
% 29.70/29.79 cnf(2781,plain,
% 29.70/29.79 (~E(f12(f2(f11(a10))),f12(f2(f11(a13))))),
% 29.70/29.79 inference(scs_inference,[],[132,2497,2674,2675,1187,2462,2776,188,511,320,20,21,3,2,48])).
% 29.70/29.79 cnf(2801,plain,
% 29.70/29.79 (P4(f7(f7(a9,a9),f7(a9,a9)),f7(f7(a9,f3(a9)),f7(a9,f3(a9))))),
% 29.70/29.79 inference(scs_inference,[],[122,2149,1397,425,2119,146,64,71])).
% 29.70/29.79 cnf(2805,plain,
% 29.70/29.79 (~E(f12(f2(f11(a13))),f12(f2(f11(a10))))),
% 29.70/29.79 inference(scs_inference,[],[122,2538,2781,2149,1345,1397,425,2119,146,64,71,18,2])).
% 29.70/29.79 cnf(2809,plain,
% 29.70/29.79 (~E(f12(a1),f12(f12(f2(a13))))),
% 29.70/29.79 inference(scs_inference,[],[122,2500,2538,2733,2781,2149,1345,1954,1397,655,425,2119,146,24,64,71,18,2,3,48])).
% 29.70/29.79 cnf(2819,plain,
% 29.70/29.79 (P2(f5(f3(a9),a9))),
% 29.70/29.79 inference(scs_inference,[],[128,2801,2485,2172,2361,2580,122,63,18])).
% 29.70/29.79 cnf(2821,plain,
% 29.70/29.79 (~E(f2(a13),f12(f2(f11(a10))))),
% 29.70/29.79 inference(scs_inference,[],[128,2544,2801,2805,2485,2172,306,2361,2580,122,63,18,2,3])).
% 29.70/29.79 cnf(2871,plain,
% 29.70/29.79 (~E(f12(f2(f11(a10))),f2(a13))),
% 29.70/29.79 inference(scs_inference,[],[2819,2821,51,52,2])).
% 29.70/29.79 cnf(2912,plain,
% 29.70/29.79 ($false),
% 29.70/29.79 inference(scs_inference,[],[136,132,2871,1411,2809,2077,2644,362,26,75,53,20,21,2,3]),
% 29.70/29.79 ['proof']).
% 29.70/29.79 % SZS output end Proof
% 29.70/29.79 % Total time :29.150000s
%------------------------------------------------------------------------------