TSTP Solution File: RNG072+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:48:01 EDT 2023
% Result : Theorem 2.38s 2.46s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 02:45:30 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 2.38/2.44 %-------------------------------------------
% 2.38/2.44 % File :CSE---1.6
% 2.38/2.44 % Problem :theBenchmark
% 2.38/2.44 % Transform :cnf
% 2.38/2.44 % Format :tptp:raw
% 2.38/2.44 % Command :java -jar mcs_scs.jar %d %s
% 2.38/2.44
% 2.38/2.44 % Result :Theorem 1.820000s
% 2.38/2.44 % Output :CNFRefutation 1.820000s
% 2.38/2.44 %-------------------------------------------
% 2.38/2.45 %------------------------------------------------------------------------------
% 2.38/2.45 % File : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% 2.38/2.45 % Domain : Ring Theory
% 2.38/2.45 % Problem : Cauchy-Bouniakowsky-Schwarz inequality 05_16_06, 00 expansion
% 2.38/2.45 % Version : Especial.
% 2.38/2.45 % English :
% 2.38/2.45
% 2.38/2.45 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 2.38/2.45 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 2.38/2.45 % Source : [Pas08]
% 2.38/2.45 % Names : cauchy_05_16_06.00 [Pas08]
% 2.38/2.45
% 2.38/2.45 % Status : Theorem
% 2.38/2.45 % Rating : 0.19 v8.1.0, 0.14 v7.5.0, 0.12 v7.4.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.23 v6.3.0, 0.21 v6.2.0, 0.16 v6.1.0, 0.27 v6.0.0, 0.30 v5.4.0, 0.36 v5.3.0, 0.44 v5.2.0, 0.40 v5.1.0, 0.48 v5.0.0, 0.54 v4.1.0, 0.61 v4.0.1, 0.83 v4.0.0
% 2.38/2.45 % Syntax : Number of formulae : 63 ( 11 unt; 1 def)
% 2.38/2.45 % Number of atoms : 195 ( 57 equ)
% 2.38/2.45 % Maximal formula atoms : 9 ( 3 avg)
% 2.38/2.45 % Number of connectives : 139 ( 7 ~; 1 |; 77 &)
% 2.38/2.45 % ( 1 <=>; 53 =>; 0 <=; 0 <~>)
% 2.38/2.45 % Maximal formula depth : 10 ( 4 avg)
% 2.38/2.45 % Maximal term depth : 5 ( 1 avg)
% 2.38/2.45 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 2.38/2.45 % Number of functors : 26 ( 26 usr; 18 con; 0-2 aty)
% 2.38/2.45 % Number of variables : 71 ( 70 !; 1 ?)
% 2.38/2.45 % SPC : FOF_THM_RFO_SEQ
% 2.38/2.45
% 2.38/2.45 % Comments : Problem generated by the SAD system [VLP07]
% 2.38/2.45 %------------------------------------------------------------------------------
% 2.38/2.45 fof(mNatSort,axiom,
% 2.38/2.45 ! [W0] :
% 2.38/2.45 ( aNaturalNumber0(W0)
% 2.38/2.45 => $true ) ).
% 2.38/2.45
% 2.38/2.45 fof(mZeroNat,axiom,
% 2.38/2.45 aNaturalNumber0(sz00) ).
% 2.38/2.45
% 2.38/2.45 fof(mSuccNat,axiom,
% 2.38/2.45 ! [W0] :
% 2.38/2.45 ( aNaturalNumber0(W0)
% 2.38/2.45 => ( aNaturalNumber0(szszuzczcdt0(W0))
% 2.38/2.45 & szszuzczcdt0(W0) != sz00 ) ) ).
% 2.38/2.45
% 2.38/2.45 fof(mNatExtr,axiom,
% 2.38/2.45 ! [W0] :
% 2.38/2.45 ( ( aNaturalNumber0(W0)
% 2.38/2.45 & W0 != sz00 )
% 2.38/2.45 => ? [W1] :
% 2.38/2.45 ( aNaturalNumber0(W1)
% 2.38/2.45 & W0 = szszuzczcdt0(W1) ) ) ).
% 2.38/2.45
% 2.38/2.45 fof(mSuccEqu,axiom,
% 2.38/2.45 ! [W0,W1] :
% 2.38/2.45 ( ( aNaturalNumber0(W0)
% 2.38/2.45 & aNaturalNumber0(W1) )
% 2.38/2.45 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 2.38/2.45 => W0 = W1 ) ) ).
% 2.38/2.45
% 2.38/2.45 fof(mIHOrd,axiom,
% 2.38/2.45 ! [W0,W1] :
% 2.38/2.45 ( ( aNaturalNumber0(W0)
% 2.38/2.45 & aNaturalNumber0(W1) )
% 2.38/2.45 => ( iLess0(W0,W1)
% 2.38/2.45 => $true ) ) ).
% 2.38/2.45
% 2.38/2.45 fof(mIH,axiom,
% 2.38/2.45 ! [W0] :
% 2.38/2.45 ( aNaturalNumber0(W0)
% 2.38/2.45 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 2.38/2.45
% 2.38/2.45 fof(mScSort,axiom,
% 2.38/2.45 ! [W0] :
% 2.38/2.45 ( aScalar0(W0)
% 2.38/2.45 => $true ) ).
% 2.38/2.45
% 2.38/2.45 fof(mSZeroSc,axiom,
% 2.38/2.45 aScalar0(sz0z00) ).
% 2.38/2.45
% 2.38/2.45 fof(mSumSc,axiom,
% 2.38/2.45 ! [W0,W1] :
% 2.38/2.45 ( ( aScalar0(W0)
% 2.38/2.45 & aScalar0(W1) )
% 2.38/2.45 => aScalar0(sdtpldt0(W0,W1)) ) ).
% 2.38/2.45
% 2.38/2.45 fof(mMulSc,axiom,
% 2.38/2.45 ! [W0,W1] :
% 2.38/2.45 ( ( aScalar0(W0)
% 2.38/2.45 & aScalar0(W1) )
% 2.38/2.45 => aScalar0(sdtasdt0(W0,W1)) ) ).
% 2.38/2.45
% 2.38/2.45 fof(mNegSc,axiom,
% 2.38/2.45 ! [W0] :
% 2.38/2.45 ( aScalar0(W0)
% 2.38/2.45 => aScalar0(smndt0(W0)) ) ).
% 2.38/2.45
% 2.38/2.45 fof(mScZero,axiom,
% 2.38/2.45 ! [W0] :
% 2.38/2.45 ( aScalar0(W0)
% 2.38/2.45 => ( sdtpldt0(W0,sz0z00) = W0
% 2.38/2.45 & sdtpldt0(sz0z00,W0) = W0
% 2.38/2.45 & sdtasdt0(W0,sz0z00) = sz0z00
% 2.38/2.45 & sdtasdt0(sz0z00,W0) = sz0z00
% 2.38/2.45 & sdtpldt0(W0,smndt0(W0)) = sz0z00
% 2.38/2.45 & sdtpldt0(smndt0(W0),W0) = sz0z00
% 2.38/2.45 & smndt0(smndt0(W0)) = W0
% 2.38/2.45 & smndt0(sz0z00) = sz0z00 ) ) ).
% 2.38/2.45
% 2.38/2.45 fof(mArith,axiom,
% 2.38/2.45 ! [W0,W1,W2] :
% 2.38/2.45 ( ( aScalar0(W0)
% 2.38/2.45 & aScalar0(W1)
% 2.38/2.45 & aScalar0(W2) )
% 2.38/2.45 => ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
% 2.38/2.45 & sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
% 2.38/2.45 & sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
% 2.38/2.45 & sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) ).
% 2.38/2.45
% 2.38/2.45 fof(mDistr,axiom,
% 2.38/2.45 ! [W0,W1,W2] :
% 2.38/2.45 ( ( aScalar0(W0)
% 2.38/2.46 & aScalar0(W1)
% 2.38/2.46 & aScalar0(W2) )
% 2.38/2.46 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 2.38/2.46 & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mDistr2,axiom,
% 2.38/2.46 ! [W0,W1,W2,W3] :
% 2.38/2.46 ( ( aScalar0(W0)
% 2.38/2.46 & aScalar0(W1)
% 2.38/2.46 & aScalar0(W2)
% 2.38/2.46 & aScalar0(W3) )
% 2.38/2.46 => sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mMNeg,axiom,
% 2.38/2.46 ! [W0,W1] :
% 2.38/2.46 ( ( aScalar0(W0)
% 2.38/2.46 & aScalar0(W1) )
% 2.38/2.46 => ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
% 2.38/2.46 & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mMDNeg,axiom,
% 2.38/2.46 ! [W0,W1] :
% 2.38/2.46 ( ( aScalar0(W0)
% 2.38/2.46 & aScalar0(W1) )
% 2.38/2.46 => sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mLess,axiom,
% 2.38/2.46 ! [W0,W1] :
% 2.38/2.46 ( ( aScalar0(W0)
% 2.38/2.46 & aScalar0(W1) )
% 2.38/2.46 => ( sdtlseqdt0(W0,W1)
% 2.38/2.46 => $true ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mLERef,axiom,
% 2.38/2.46 ! [W0] :
% 2.38/2.46 ( aScalar0(W0)
% 2.38/2.46 => sdtlseqdt0(W0,W0) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mLEASm,axiom,
% 2.38/2.46 ! [W0,W1] :
% 2.38/2.46 ( ( aScalar0(W0)
% 2.38/2.46 & aScalar0(W1) )
% 2.38/2.46 => ( ( sdtlseqdt0(W0,W1)
% 2.38/2.46 & sdtlseqdt0(W1,W0) )
% 2.38/2.46 => W0 = W1 ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mLETrn,axiom,
% 2.38/2.46 ! [W0,W1,W2] :
% 2.38/2.46 ( ( aScalar0(W0)
% 2.38/2.46 & aScalar0(W1)
% 2.38/2.46 & aScalar0(W2) )
% 2.38/2.46 => ( ( sdtlseqdt0(W0,W1)
% 2.38/2.46 & sdtlseqdt0(W1,W2) )
% 2.38/2.46 => sdtlseqdt0(W0,W2) ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mLEMon,axiom,
% 2.38/2.46 ! [W0,W1,W2,W3] :
% 2.38/2.46 ( ( aScalar0(W0)
% 2.38/2.46 & aScalar0(W1)
% 2.38/2.46 & aScalar0(W2)
% 2.38/2.46 & aScalar0(W3) )
% 2.38/2.46 => ( ( sdtlseqdt0(W0,W1)
% 2.38/2.46 & sdtlseqdt0(W2,W3) )
% 2.38/2.46 => sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mLEMonM,axiom,
% 2.38/2.46 ! [W0,W1,W2,W3] :
% 2.38/2.46 ( ( aScalar0(W0)
% 2.38/2.46 & aScalar0(W1)
% 2.38/2.46 & aScalar0(W2)
% 2.38/2.46 & aScalar0(W3) )
% 2.38/2.46 => ( ( sdtlseqdt0(W0,W1)
% 2.38/2.46 & sdtlseqdt0(sz0z00,W2)
% 2.38/2.46 & sdtlseqdt0(W2,W3) )
% 2.38/2.46 => sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mLETot,axiom,
% 2.38/2.46 ! [W0,W1] :
% 2.38/2.46 ( ( aScalar0(W0)
% 2.38/2.46 & aScalar0(W1) )
% 2.38/2.46 => ( sdtlseqdt0(W0,W1)
% 2.38/2.46 | sdtlseqdt0(W1,W0) ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mPosMon,axiom,
% 2.38/2.46 ! [W0,W1] :
% 2.38/2.46 ( ( aScalar0(W0)
% 2.38/2.46 & aScalar0(W1) )
% 2.38/2.46 => ( ( sdtlseqdt0(sz0z00,W0)
% 2.38/2.46 & sdtlseqdt0(sz0z00,W1) )
% 2.38/2.46 => ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))
% 2.38/2.46 & sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mSqPos,axiom,
% 2.38/2.46 ! [W0] :
% 2.38/2.46 ( aScalar0(W0)
% 2.38/2.46 => sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mSqrt,axiom,
% 2.38/2.46 ! [W0,W1] :
% 2.38/2.46 ( ( aScalar0(W0)
% 2.38/2.46 & aScalar0(W1) )
% 2.38/2.46 => ( ( sdtlseqdt0(sz0z00,W0)
% 2.38/2.46 & sdtlseqdt0(sz0z00,W1)
% 2.38/2.46 & sdtasdt0(W0,W0) = sdtasdt0(W1,W1) )
% 2.38/2.46 => W0 = W1 ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mVcSort,axiom,
% 2.38/2.46 ! [W0] :
% 2.38/2.46 ( aVector0(W0)
% 2.38/2.46 => $true ) ).
% 2.38/2.46
% 2.38/2.46 fof(mDimNat,axiom,
% 2.38/2.46 ! [W0] :
% 2.38/2.46 ( aVector0(W0)
% 2.38/2.46 => aNaturalNumber0(aDimensionOf0(W0)) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mElmSc,axiom,
% 2.38/2.46 ! [W0,W1] :
% 2.38/2.46 ( ( aVector0(W0)
% 2.38/2.46 & aNaturalNumber0(W1) )
% 2.38/2.46 => aScalar0(sdtlbdtrb0(W0,W1)) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mDefInit,definition,
% 2.38/2.46 ! [W0] :
% 2.38/2.46 ( aVector0(W0)
% 2.38/2.46 => ( aDimensionOf0(W0) != sz00
% 2.38/2.46 => ! [W1] :
% 2.38/2.46 ( W1 = sziznziztdt0(W0)
% 2.38/2.46 <=> ( aVector0(W1)
% 2.38/2.46 & szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)
% 2.38/2.46 & ! [W2] :
% 2.38/2.46 ( aNaturalNumber0(W2)
% 2.38/2.46 => sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mEqInit,axiom,
% 2.38/2.46 ! [W0,W1] :
% 2.38/2.46 ( ( aVector0(W0)
% 2.38/2.46 & aVector0(W1) )
% 2.38/2.46 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.38/2.46 & aDimensionOf0(W1) != sz00 )
% 2.38/2.46 => aDimensionOf0(sziznziztdt0(W0)) = aDimensionOf0(sziznziztdt0(W1)) ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mScPr,axiom,
% 2.38/2.46 ! [W0,W1] :
% 2.38/2.46 ( ( aVector0(W0)
% 2.38/2.46 & aVector0(W1) )
% 2.38/2.46 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.38/2.46 => aScalar0(sdtasasdt0(W0,W1)) ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mDefSPZ,axiom,
% 2.38/2.46 ! [W0,W1] :
% 2.38/2.46 ( ( aVector0(W0)
% 2.38/2.46 & aVector0(W1) )
% 2.38/2.46 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.38/2.46 & aDimensionOf0(W1) = sz00 )
% 2.38/2.46 => sdtasasdt0(W0,W1) = sz0z00 ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mDefSPN,axiom,
% 2.38/2.46 ! [W0,W1] :
% 2.38/2.46 ( ( aVector0(W0)
% 2.38/2.46 & aVector0(W1) )
% 2.38/2.46 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.38/2.46 & aDimensionOf0(W1) != sz00 )
% 2.38/2.46 => sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))) ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(mScSqPos,axiom,
% 2.38/2.46 ! [W0] :
% 2.38/2.46 ( aVector0(W0)
% 2.38/2.46 => sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1678,hypothesis,
% 2.38/2.46 ( aVector0(xs)
% 2.38/2.46 & aVector0(xt) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1652,hypothesis,
% 2.38/2.46 ! [W0,W1] :
% 2.38/2.46 ( ( aVector0(W0)
% 2.38/2.46 & aVector0(W1) )
% 2.38/2.46 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.38/2.46 => ( iLess0(aDimensionOf0(W0),aDimensionOf0(xs))
% 2.38/2.46 => sdtlseqdt0(sdtasdt0(sdtasasdt0(W0,W1),sdtasasdt0(W0,W1)),sdtasdt0(sdtasasdt0(W0,W0),sdtasasdt0(W1,W1))) ) ) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1678_01,hypothesis,
% 2.38/2.46 aDimensionOf0(xs) = aDimensionOf0(xt) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1692,hypothesis,
% 2.38/2.46 aDimensionOf0(xs) != sz00 ).
% 2.38/2.46
% 2.38/2.46 fof(m__1709,hypothesis,
% 2.38/2.46 ( aVector0(xp)
% 2.38/2.46 & xp = sziznziztdt0(xs) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1726,hypothesis,
% 2.38/2.46 ( aVector0(xq)
% 2.38/2.46 & xq = sziznziztdt0(xt) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1746,hypothesis,
% 2.38/2.46 ( aScalar0(xA)
% 2.38/2.46 & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1766,hypothesis,
% 2.38/2.46 ( aScalar0(xB)
% 2.38/2.46 & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1783,hypothesis,
% 2.38/2.46 ( aScalar0(xC)
% 2.38/2.46 & xC = sdtasasdt0(xp,xp) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1800,hypothesis,
% 2.38/2.46 ( aScalar0(xD)
% 2.38/2.46 & xD = sdtasasdt0(xq,xq) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1820,hypothesis,
% 2.38/2.46 ( aScalar0(xE)
% 2.38/2.46 & xE = sdtasasdt0(xp,xq) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1837,hypothesis,
% 2.38/2.46 ( aScalar0(xF)
% 2.38/2.46 & xF = sdtasdt0(xA,xA) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1854,hypothesis,
% 2.38/2.46 ( aScalar0(xG)
% 2.38/2.46 & xG = sdtasdt0(xB,xB) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1873,hypothesis,
% 2.38/2.46 ( aScalar0(xH)
% 2.38/2.46 & xH = sdtasdt0(xA,xB) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1892,hypothesis,
% 2.38/2.46 ( aScalar0(xR)
% 2.38/2.46 & xR = sdtasdt0(xC,xG) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1911,hypothesis,
% 2.38/2.46 ( aScalar0(xP)
% 2.38/2.46 & xP = sdtasdt0(xE,xH) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1930,hypothesis,
% 2.38/2.46 ( aScalar0(xS)
% 2.38/2.46 & xS = sdtasdt0(xF,xD) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1949,hypothesis,
% 2.38/2.46 ( aScalar0(xN)
% 2.38/2.46 & xN = sdtasdt0(xR,xS) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__1967,hypothesis,
% 2.38/2.46 sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ).
% 2.38/2.46
% 2.38/2.46 fof(m__2004,hypothesis,
% 2.38/2.46 sdtlseqdt0(sdtasdt0(xP,xP),xN) ).
% 2.38/2.46
% 2.38/2.46 fof(m__2104,hypothesis,
% 2.38/2.46 sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ).
% 2.38/2.46
% 2.38/2.46 fof(m__2405,hypothesis,
% 2.38/2.46 sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ).
% 2.38/2.46
% 2.38/2.46 fof(m__2590,hypothesis,
% 2.38/2.46 ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ).
% 2.38/2.46
% 2.38/2.46 fof(m__2610,hypothesis,
% 2.38/2.46 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ).
% 2.38/2.46
% 2.38/2.46 fof(m__2628,hypothesis,
% 2.38/2.46 ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
% 2.38/2.46 & sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ) ).
% 2.38/2.46
% 2.38/2.46 fof(m__,conjecture,
% 2.38/2.46 sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ).
% 2.38/2.46
% 2.38/2.46 %------------------------------------------------------------------------------
% 2.38/2.46 %-------------------------------------------
% 2.38/2.46 % Proof found
% 2.38/2.46 % SZS status Theorem for theBenchmark
% 2.38/2.46 % SZS output start Proof
% 2.38/2.46 %ClaNum:118(EqnAxiom:25)
% 2.38/2.46 %VarNum:309(SingletonVarNum:96)
% 2.38/2.46 %MaxLitNum:8
% 2.38/2.46 %MaxfuncDepth:4
% 2.38/2.46 %SharedTerms:90
% 2.38/2.46 %goalClause: 68
% 2.38/2.46 %singleGoalClaCount:1
% 2.38/2.46 [28]P1(a3)
% 2.38/2.46 [29]P2(a12)
% 2.38/2.46 [30]P2(a14)
% 2.38/2.46 [31]P2(a16)
% 2.38/2.46 [32]P2(a17)
% 2.38/2.46 [33]P2(a18)
% 2.38/2.46 [34]P2(a19)
% 2.38/2.46 [35]P2(a20)
% 2.38/2.46 [36]P2(a21)
% 2.38/2.46 [37]P2(a22)
% 2.38/2.46 [38]P2(a23)
% 2.38/2.46 [39]P2(a24)
% 2.38/2.46 [40]P2(a26)
% 2.38/2.46 [41]P2(a25)
% 2.38/2.46 [42]P3(a1)
% 2.38/2.46 [43]P3(a28)
% 2.38/2.46 [44]P3(a13)
% 2.38/2.46 [45]P3(a27)
% 2.38/2.46 [26]E(f2(a1),a13)
% 2.38/2.46 [27]E(f2(a28),a27)
% 2.38/2.46 [46]E(f4(a28),f4(a1))
% 2.38/2.46 [47]E(f5(a13,a13),a17)
% 2.38/2.46 [48]E(f5(a27,a27),a18)
% 2.38/2.46 [49]E(f5(a13,a27),a19)
% 2.38/2.46 [50]E(f8(a14,a14),a20)
% 2.38/2.46 [51]E(f8(a16,a16),a21)
% 2.38/2.46 [52]E(f8(a14,a16),a22)
% 2.38/2.46 [53]E(f8(a17,a21),a23)
% 2.38/2.46 [54]E(f8(a19,a22),a24)
% 2.38/2.46 [55]E(f8(a20,a18),a26)
% 2.38/2.46 [56]E(f8(a23,a26),a25)
% 2.38/2.46 [59]P4(a12,f10(a23,a26))
% 2.38/2.46 [60]P4(a12,f10(a24,a24))
% 2.38/2.46 [61]P4(f8(a24,a24),a25)
% 2.38/2.46 [62]P4(f10(a23,a26),f10(a24,a24))
% 2.38/2.46 [63]P4(f8(a19,a19),f8(a17,a18))
% 2.38/2.46 [66]~E(f4(a1),a3)
% 2.38/2.46 [67]~P4(f10(a24,a24),f10(a23,a26))
% 2.38/2.46 [57]E(f9(a1,f4(a1)),a14)
% 2.38/2.46 [58]E(f9(a28,f4(a28)),a16)
% 2.38/2.46 [64]P4(f10(f8(a24,a24),f8(a24,a24)),f10(f8(a23,a23),f8(a26,a26)))
% 2.38/2.46 [65]P4(f8(f10(a24,a24),f10(a24,a24)),f8(f10(a23,a26),f10(a23,a26)))
% 2.38/2.46 [68]~P4(f8(f10(a23,a26),f10(a23,a26)),f8(f10(a24,a24),f10(a24,a24)))
% 2.38/2.46 [81]~P2(x811)+P4(x811,x811)
% 2.38/2.46 [69]~P2(x691)+E(f11(a12),a12)
% 2.38/2.46 [70]~P1(x701)+~E(f15(x701),a3)
% 2.38/2.46 [71]~P1(x711)+P1(f15(x711))
% 2.38/2.46 [72]~P3(x721)+P1(f4(x721))
% 2.38/2.46 [73]~P2(x731)+P2(f11(x731))
% 2.38/2.46 [76]~P2(x761)+E(f8(x761,a12),a12)
% 2.38/2.46 [77]~P2(x771)+E(f8(a12,x771),a12)
% 2.38/2.46 [79]~P2(x791)+E(f10(x791,a12),x791)
% 2.38/2.46 [80]~P2(x801)+E(f10(a12,x801),x801)
% 2.38/2.46 [85]~P1(x851)+P5(x851,f15(x851))
% 2.38/2.46 [92]~P2(x921)+P4(a12,f8(x921,x921))
% 2.38/2.46 [93]~P3(x931)+P4(a12,f5(x931,x931))
% 2.38/2.46 [74]~P2(x741)+E(f11(f11(x741)),x741)
% 2.38/2.46 [83]~P2(x831)+E(f10(x831,f11(x831)),a12)
% 2.38/2.46 [84]~P2(x841)+E(f10(f11(x841),x841),a12)
% 2.38/2.46 [75]~P1(x751)+E(x751,a3)+P1(f6(x751))
% 2.38/2.46 [78]~P1(x781)+E(x781,a3)+E(f15(f6(x781)),x781)
% 2.38/2.46 [89]~P2(x892)+~P2(x891)+P2(f10(x891,x892))
% 2.38/2.46 [90]~P2(x902)+~P2(x901)+P2(f8(x901,x902))
% 2.38/2.46 [91]~P1(x912)+~P3(x911)+P2(f9(x911,x912))
% 2.38/2.46 [98]~P2(x982)+~P2(x981)+E(f8(f11(x981),f11(x982)),f8(x981,x982))
% 2.38/2.46 [102]~P2(x1022)+~P2(x1021)+E(f11(f8(x1021,x1022)),f8(x1021,f11(x1022)))
% 2.38/2.46 [103]~P2(x1032)+~P2(x1031)+E(f11(f8(x1031,x1032)),f8(f11(x1031),x1032))
% 2.38/2.46 [88]P4(x882,x881)+~P2(x881)+~P2(x882)+P4(x881,x882)
% 2.38/2.46 [82]~P3(x821)+P3(x822)+~E(x822,f2(x821))+E(f4(x821),a3)
% 2.38/2.46 [86]~P1(x862)+~P1(x861)+E(x861,x862)+~E(f15(x861),f15(x862))
% 2.38/2.46 [100]~P3(x1002)+~P3(x1001)+~E(f4(x1001),f4(x1002))+P2(f5(x1001,x1002))
% 2.38/2.46 [87]~P3(x871)+~E(x872,f2(x871))+E(f4(x871),a3)+E(f15(f4(x872)),f4(x871))
% 2.38/2.46 [95]~P2(x952)+~P2(x951)+~P2(x953)+E(f10(x951,x952),f10(x952,x951))
% 2.38/2.46 [96]~P2(x962)+~P2(x961)+~P2(x963)+E(f8(x961,x962),f8(x962,x961))
% 2.38/2.46 [108]~P2(x1083)+~P2(x1082)+~P2(x1081)+E(f10(f10(x1081,x1082),x1083),f10(x1081,f10(x1082,x1083)))
% 2.38/2.46 [109]~P2(x1093)+~P2(x1092)+~P2(x1091)+E(f8(f8(x1091,x1092),x1093),f8(x1091,f8(x1092,x1093)))
% 2.38/2.46 [111]~P2(x1113)+~P2(x1112)+~P2(x1111)+E(f10(f8(x1111,x1112),f8(x1111,x1113)),f8(x1111,f10(x1112,x1113)))
% 2.38/2.46 [112]~P2(x1122)+~P2(x1123)+~P2(x1121)+E(f10(f8(x1121,x1122),f8(x1123,x1122)),f8(f10(x1121,x1123),x1122))
% 2.38/2.47 [101]~P2(x1012)+~P2(x1011)+~P4(x1012,x1011)+~P4(x1011,x1012)+E(x1011,x1012)
% 2.38/2.47 [94]~P3(x942)+~P3(x941)+~E(f4(x941),f4(x942))+~E(f4(x942),a3)+E(f5(x941,x942),a12)
% 2.38/2.47 [106]~P2(x1062)+~P2(x1061)+~P4(a12,x1062)+~P4(a12,x1061)+P4(a12,f10(x1061,x1062))
% 2.38/2.47 [107]~P2(x1072)+~P2(x1071)+~P4(a12,x1072)+~P4(a12,x1071)+P4(a12,f8(x1071,x1072))
% 2.38/2.47 [97]~P3(x971)+~P3(x972)+~E(f4(x972),f4(x971))+E(f4(x971),a3)+E(f4(f2(x972)),f4(f2(x971)))
% 2.38/2.47 [117]~P3(x1172)+~P3(x1171)+~E(f4(x1171),f4(x1172))+~P5(f4(x1171),f4(a1))+P4(f8(f5(x1171,x1172),f5(x1171,x1172)),f8(f5(x1171,x1171),f5(x1172,x1172)))
% 2.38/2.47 [116]~P3(x1161)+~P3(x1162)+~E(f4(x1162),f4(x1161))+E(f4(x1161),a3)+E(f10(f5(f2(x1162),f2(x1161)),f8(f9(x1162,f4(x1162)),f9(x1161,f4(x1161)))),f5(x1162,x1161))
% 2.38/2.47 [99]~P1(x993)+~P3(x991)+~E(x992,f2(x991))+E(f9(x992,x993),f9(x991,x993))+E(f4(x991),a3)
% 2.38/2.47 [118]~P2(x1183)+~P2(x1182)+~P2(x1184)+~P2(x1181)+E(f10(f10(f8(x1181,x1182),f8(x1181,x1183)),f10(f8(x1184,x1182),f8(x1184,x1183))),f8(f10(x1181,x1184),f10(x1182,x1183)))
% 2.38/2.47 [110]~P2(x1102)+~P2(x1101)+E(x1101,x1102)+~E(f8(x1101,x1101),f8(x1102,x1102))+~P4(a12,x1102)+~P4(a12,x1101)
% 2.38/2.47 [104]~P3(x1041)+~P3(x1042)+E(x1041,f2(x1042))+E(f4(x1042),a3)+P1(f7(x1042,x1041))+~E(f15(f4(x1041)),f4(x1042))
% 2.38/2.47 [115]~P3(x1152)+~P3(x1151)+E(x1151,f2(x1152))+E(f4(x1152),a3)+~E(f15(f4(x1151)),f4(x1152))+~E(f9(x1151,f7(x1152,x1151)),f9(x1152,f7(x1152,x1151)))
% 2.38/2.47 [105]~P2(x1052)+~P2(x1051)+~P4(x1053,x1052)+~P4(x1051,x1053)+P4(x1051,x1052)+~P2(x1053)
% 2.38/2.47 [113]~P2(x1134)+~P2(x1132)+~P2(x1133)+~P2(x1131)+~P4(x1132,x1134)+~P4(x1131,x1133)+P4(f10(x1131,x1132),f10(x1133,x1134))
% 2.38/2.47 [114]~P2(x1144)+~P2(x1142)+~P2(x1143)+~P2(x1141)+~P4(x1142,x1144)+~P4(x1141,x1143)+~P4(a12,x1142)+P4(f8(x1141,x1142),f8(x1143,x1144))
% 2.38/2.47 %EqnAxiom
% 2.38/2.47 [1]E(x11,x11)
% 2.38/2.47 [2]E(x22,x21)+~E(x21,x22)
% 2.38/2.47 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.38/2.47 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 2.38/2.47 [5]~E(x51,x52)+E(f8(x51,x53),f8(x52,x53))
% 2.38/2.47 [6]~E(x61,x62)+E(f8(x63,x61),f8(x63,x62))
% 2.38/2.47 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 2.38/2.47 [8]~E(x81,x82)+E(f10(x81,x83),f10(x82,x83))
% 2.38/2.47 [9]~E(x91,x92)+E(f10(x93,x91),f10(x93,x92))
% 2.38/2.47 [10]~E(x101,x102)+E(f5(x101,x103),f5(x102,x103))
% 2.38/2.47 [11]~E(x111,x112)+E(f5(x113,x111),f5(x113,x112))
% 2.38/2.47 [12]~E(x121,x122)+E(f11(x121),f11(x122))
% 2.38/2.47 [13]~E(x131,x132)+E(f15(x131),f15(x132))
% 2.38/2.47 [14]~E(x141,x142)+E(f9(x141,x143),f9(x142,x143))
% 2.38/2.47 [15]~E(x151,x152)+E(f9(x153,x151),f9(x153,x152))
% 2.38/2.47 [16]~E(x161,x162)+E(f6(x161),f6(x162))
% 2.38/2.47 [17]~E(x171,x172)+E(f7(x171,x173),f7(x172,x173))
% 2.38/2.47 [18]~E(x181,x182)+E(f7(x183,x181),f7(x183,x182))
% 2.38/2.47 [19]~P1(x191)+P1(x192)+~E(x191,x192)
% 2.38/2.47 [20]~P2(x201)+P2(x202)+~E(x201,x202)
% 2.38/2.47 [21]P4(x212,x213)+~E(x211,x212)+~P4(x211,x213)
% 2.38/2.47 [22]P4(x223,x222)+~E(x221,x222)+~P4(x223,x221)
% 2.38/2.47 [23]~P3(x231)+P3(x232)+~E(x231,x232)
% 2.38/2.47 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243)
% 2.38/2.47 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251)
% 2.38/2.47
% 2.38/2.47 %-------------------------------------------
% 2.38/2.47 cnf(120,plain,
% 2.38/2.47 (P3(f2(a1))),
% 2.38/2.47 inference(scs_inference,[],[44,26,2,23])).
% 2.38/2.47 cnf(121,plain,
% 2.38/2.47 (~E(a12,f10(a24,a24))),
% 2.38/2.47 inference(scs_inference,[],[44,26,59,67,2,23,21])).
% 2.38/2.47 cnf(122,plain,
% 2.38/2.47 (P4(a12,a12)),
% 2.38/2.47 inference(scs_inference,[],[29,44,26,59,67,2,23,21,88])).
% 2.38/2.47 cnf(124,plain,
% 2.38/2.47 (E(f15(f4(a13)),f4(a1))),
% 2.38/2.47 inference(scs_inference,[],[29,42,44,26,59,66,67,2,23,21,88,87])).
% 2.38/2.47 cnf(126,plain,
% 2.38/2.47 (E(f9(a13,a3),f9(a1,a3))),
% 2.38/2.47 inference(scs_inference,[],[28,29,42,44,26,59,66,67,2,23,21,88,87,99])).
% 2.38/2.47 cnf(128,plain,
% 2.38/2.47 (E(f4(f2(a28)),f4(f2(a1)))),
% 2.38/2.47 inference(scs_inference,[],[28,29,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97])).
% 2.38/2.47 cnf(130,plain,
% 2.38/2.47 (P4(f8(a12,a12),f8(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[28,29,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114])).
% 2.38/2.47 cnf(132,plain,
% 2.38/2.47 (P4(a14,a14)),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81])).
% 2.38/2.47 cnf(134,plain,
% 2.38/2.47 (E(f11(a12),a12)),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69])).
% 2.38/2.47 cnf(138,plain,
% 2.38/2.47 (E(f10(a12,a12),a12)),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80])).
% 2.38/2.47 cnf(142,plain,
% 2.38/2.47 (E(f8(a12,a12),a12)),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77])).
% 2.38/2.47 cnf(146,plain,
% 2.38/2.47 (E(f11(f11(a12)),a12)),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74])).
% 2.38/2.47 cnf(150,plain,
% 2.38/2.47 (P1(f4(a1))),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72])).
% 2.38/2.47 cnf(152,plain,
% 2.38/2.47 (P1(f15(a3))),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71])).
% 2.38/2.47 cnf(154,plain,
% 2.38/2.47 (~E(f15(a3),a3)),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70])).
% 2.38/2.47 cnf(156,plain,
% 2.38/2.47 (E(f7(x1561,f2(a1)),f7(x1561,a13))),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18])).
% 2.38/2.47 cnf(160,plain,
% 2.38/2.47 (E(f9(f2(a1),x1601),f9(a13,x1601))),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14])).
% 2.38/2.47 cnf(163,plain,
% 2.38/2.47 (E(f5(x1631,f2(a1)),f5(x1631,a13))),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11])).
% 2.38/2.47 cnf(164,plain,
% 2.38/2.47 (E(f5(f2(a1),x1641),f5(a13,x1641))),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10])).
% 2.38/2.47 cnf(167,plain,
% 2.38/2.47 (E(f4(f2(a1)),f4(a13))),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7])).
% 2.38/2.47 cnf(173,plain,
% 2.38/2.47 (P4(a12,f8(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,92])).
% 2.38/2.47 cnf(179,plain,
% 2.38/2.47 (~P4(f8(f10(a23,a26),f10(a23,a26)),x1791)+~E(x1791,f8(f10(a24,a24),f10(a24,a24)))),
% 2.38/2.47 inference(scs_inference,[],[68,28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,92,84,83,22])).
% 2.38/2.47 cnf(182,plain,
% 2.38/2.47 (P2(f8(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[68,28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,92,84,83,22,91,90])).
% 2.38/2.47 cnf(184,plain,
% 2.38/2.47 (P2(f10(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[68,28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,92,84,83,22,91,90,89])).
% 2.38/2.47 cnf(186,plain,
% 2.38/2.47 (E(f15(f6(f4(a1))),f4(a1))),
% 2.38/2.47 inference(scs_inference,[],[68,28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,92,84,83,22,91,90,89,78])).
% 2.38/2.47 cnf(188,plain,
% 2.38/2.47 (P1(f6(f4(a1)))),
% 2.38/2.47 inference(scs_inference,[],[68,28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,92,84,83,22,91,90,89,78,75])).
% 2.38/2.47 cnf(194,plain,
% 2.38/2.47 (E(f8(f11(a12),f11(a12)),f8(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[68,28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,92,84,83,22,91,90,89,78,75,103,102,98])).
% 2.38/2.47 cnf(202,plain,
% 2.38/2.47 (E(f10(f8(a12,a12),f8(a12,a12)),f8(f10(a12,a12),a12))),
% 2.38/2.47 inference(scs_inference,[],[68,28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,92,84,83,22,91,90,89,78,75,103,102,98,86,109,108,112])).
% 2.38/2.47 cnf(204,plain,
% 2.38/2.47 (E(f10(f8(a12,a12),f8(a12,a12)),f8(a12,f10(a12,a12)))),
% 2.38/2.47 inference(scs_inference,[],[68,28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,92,84,83,22,91,90,89,78,75,103,102,98,86,109,108,112,111])).
% 2.38/2.47 cnf(210,plain,
% 2.38/2.47 (P4(a12,f10(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[68,28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,92,84,83,22,91,90,89,78,75,103,102,98,86,109,108,112,111,100,107,106])).
% 2.38/2.47 cnf(216,plain,
% 2.38/2.47 (P4(f10(a12,a12),f10(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[68,28,29,30,42,43,44,26,59,66,67,46,2,23,21,88,87,99,97,114,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,92,84,83,22,91,90,89,78,75,103,102,98,86,109,108,112,111,100,107,106,118,116,113])).
% 2.38/2.47 cnf(233,plain,
% 2.38/2.47 (~P2(x2331)+~P2(x2332)+E(f10(x2332,x2331),f10(x2331,x2332))),
% 2.38/2.47 inference(scs_inference,[],[31,95])).
% 2.38/2.47 cnf(234,plain,
% 2.38/2.47 (~P2(x2341)+~P2(x2342)+E(f8(x2342,x2341),f8(x2341,x2342))),
% 2.38/2.47 inference(scs_inference,[],[31,96])).
% 2.38/2.47 cnf(237,plain,
% 2.38/2.47 (P1(f6(f15(a3)))),
% 2.38/2.47 inference(scs_inference,[],[45,28,152,154,91,75])).
% 2.38/2.47 cnf(241,plain,
% 2.38/2.47 (P4(f8(a12,a12),a12)),
% 2.38/2.47 inference(scs_inference,[],[31,45,28,130,142,152,154,91,75,102,22])).
% 2.38/2.47 cnf(258,plain,
% 2.38/2.47 (~E(a3,f4(a1))),
% 2.38/2.47 inference(scs_inference,[],[31,45,28,66,130,142,152,154,91,75,102,22,78,103,98,109,108,112,111,118,2])).
% 2.38/2.47 cnf(259,plain,
% 2.38/2.47 (P2(f8(a16,a16))),
% 2.38/2.47 inference(scs_inference,[],[31,45,28,66,130,142,152,154,91,75,102,22,78,103,98,109,108,112,111,118,2,90])).
% 2.38/2.47 cnf(265,plain,
% 2.38/2.47 (~E(a16,x2651)+P2(x2651)),
% 2.38/2.47 inference(scs_inference,[],[31,45,47,28,66,130,163,142,152,154,91,75,102,22,78,103,98,109,108,112,111,118,2,90,89,3,20])).
% 2.38/2.47 cnf(270,plain,
% 2.38/2.47 (E(f6(f15(a3)),a3)+~E(a16,x2701)),
% 2.38/2.47 inference(scs_inference,[],[31,45,47,28,66,130,163,142,152,154,91,75,102,22,78,103,98,109,108,112,111,118,2,90,89,3,20,234,233,86])).
% 2.38/2.47 cnf(274,plain,
% 2.38/2.47 (~E(a16,x2741)+P4(a12,f10(f8(a12,a12),f8(a12,a12)))),
% 2.38/2.47 inference(scs_inference,[],[31,45,47,28,66,182,184,130,163,173,142,152,210,154,91,75,102,22,78,103,98,109,108,112,111,118,2,90,89,3,20,234,233,86,107,106])).
% 2.38/2.47 cnf(293,plain,
% 2.38/2.47 (E(f6(f15(a3)),a3)),
% 2.38/2.47 inference(equality_inference,[],[270])).
% 2.38/2.47 cnf(295,plain,
% 2.38/2.47 (P4(a12,f10(f8(a12,a12),f8(a12,a12)))),
% 2.38/2.47 inference(equality_inference,[],[274])).
% 2.38/2.47 cnf(299,plain,
% 2.38/2.47 (E(a12,f8(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[29,216,241,173,184,182,113,101])).
% 2.38/2.47 cnf(305,plain,
% 2.38/2.47 (P4(f10(a12,a12),a12)),
% 2.38/2.47 inference(scs_inference,[],[32,29,216,241,138,173,184,182,113,101,109,111,22])).
% 2.38/2.47 cnf(313,plain,
% 2.38/2.47 (~E(f4(a1),f6(f15(a3)))),
% 2.38/2.47 inference(scs_inference,[],[32,48,66,29,216,241,293,138,173,184,182,113,101,109,111,22,108,112,118,2,3])).
% 2.38/2.47 cnf(319,plain,
% 2.38/2.47 (P4(f8(a12,a12),f10(a24,a24))),
% 2.38/2.47 inference(scs_inference,[],[32,48,60,28,66,29,216,237,150,241,293,138,173,184,210,182,113,101,109,111,22,108,112,118,2,3,19,86,114,21])).
% 2.38/2.47 cnf(338,plain,
% 2.38/2.47 (~E(f6(f15(a3)),f4(a1))),
% 2.38/2.47 inference(scs_inference,[],[34,29,313,305,210,184,216,114,118,2])).
% 2.38/2.47 cnf(340,plain,
% 2.38/2.47 (P2(f5(a28,a28))),
% 2.38/2.47 inference(scs_inference,[],[34,43,29,194,313,305,142,210,184,216,114,118,2,3,100])).
% 2.38/2.47 cnf(347,plain,
% 2.38/2.47 (~E(a27,x3471)+P3(x3471)),
% 2.38/2.47 inference(scs_inference,[],[34,45,43,29,194,204,313,295,305,142,210,184,216,114,118,2,3,100,22,117,116,23])).
% 2.38/2.47 cnf(356,plain,
% 2.38/2.47 (E(a27,f2(a28))),
% 2.38/2.47 inference(scs_inference,[],[27,202,295,22,2])).
% 2.38/2.47 cnf(359,plain,
% 2.38/2.47 (P5(f6(f4(a1)),f15(f6(f4(a1))))),
% 2.38/2.47 inference(scs_inference,[],[27,49,202,164,188,295,22,2,3,85])).
% 2.38/2.47 cnf(361,plain,
% 2.38/2.47 (P1(f15(f6(f4(a1))))),
% 2.38/2.47 inference(scs_inference,[],[27,49,202,164,188,295,22,2,3,85,71])).
% 2.38/2.47 cnf(363,plain,
% 2.38/2.47 (~E(f15(f6(f4(a1))),a3)),
% 2.38/2.47 inference(scs_inference,[],[27,49,202,164,188,295,22,2,3,85,71,70])).
% 2.38/2.47 cnf(369,plain,
% 2.38/2.47 (P4(a20,a20)),
% 2.38/2.47 inference(scs_inference,[],[27,35,49,202,164,188,295,22,2,3,85,71,70,79,76,88])).
% 2.38/2.47 cnf(373,plain,
% 2.38/2.47 (P4(f10(f8(a12,a12),f8(a12,a12)),f10(f8(a12,a12),f8(a12,a12)))),
% 2.38/2.47 inference(scs_inference,[],[27,35,49,120,44,202,164,188,167,130,295,182,22,2,3,85,71,70,79,76,88,100,113])).
% 2.38/2.47 cnf(375,plain,
% 2.38/2.47 (P3(f2(a28))),
% 2.38/2.47 inference(scs_inference,[],[27,35,49,120,44,202,164,188,167,130,295,182,22,2,3,85,71,70,79,76,88,100,113,347])).
% 2.38/2.47 cnf(382,plain,
% 2.38/2.47 (P1(f4(f2(a1)))),
% 2.38/2.47 inference(scs_inference,[],[27,35,49,120,44,202,164,188,167,130,295,182,22,2,3,85,71,70,79,76,88,100,113,347,80,77,74,72])).
% 2.38/2.47 cnf(387,plain,
% 2.38/2.47 (E(f5(x3871,f2(a28)),f5(x3871,a27))),
% 2.38/2.47 inference(scs_inference,[],[27,35,49,120,44,202,164,188,167,130,295,182,22,2,3,85,71,70,79,76,88,100,113,347,80,77,74,72,17,16,15,11])).
% 2.38/2.47 cnf(388,plain,
% 2.38/2.47 (E(f5(f2(a28),x3881),f5(a27,x3881))),
% 2.38/2.47 inference(scs_inference,[],[27,35,49,120,44,202,164,188,167,130,295,182,22,2,3,85,71,70,79,76,88,100,113,347,80,77,74,72,17,16,15,11,10])).
% 2.38/2.47 cnf(391,plain,
% 2.38/2.47 (E(f4(f2(a28)),f4(a27))),
% 2.38/2.47 inference(scs_inference,[],[27,35,49,120,44,202,164,188,167,130,295,182,22,2,3,85,71,70,79,76,88,100,113,347,80,77,74,72,17,16,15,11,10,9,8,7])).
% 2.38/2.47 cnf(393,plain,
% 2.38/2.47 (E(f2(f2(a28)),f2(a27))),
% 2.38/2.47 inference(scs_inference,[],[27,35,49,120,44,202,164,188,167,130,295,182,22,2,3,85,71,70,79,76,88,100,113,347,80,77,74,72,17,16,15,11,10,9,8,7,6,4])).
% 2.38/2.47 cnf(394,plain,
% 2.38/2.47 (P4(a12,f5(f2(a1),f2(a1)))),
% 2.38/2.47 inference(scs_inference,[],[27,35,49,120,44,202,164,188,167,130,295,182,22,2,3,85,71,70,79,76,88,100,113,347,80,77,74,72,17,16,15,11,10,9,8,7,6,4,93])).
% 2.38/2.47 cnf(418,plain,
% 2.38/2.47 (P4(a21,a21)),
% 2.38/2.47 inference(scs_inference,[],[36,81])).
% 2.38/2.47 cnf(423,plain,
% 2.38/2.47 (E(f9(f2(a28),x4231),f9(a27,x4231))),
% 2.38/2.47 inference(scs_inference,[],[27,36,81,73,18,14])).
% 2.38/2.47 cnf(426,plain,
% 2.38/2.47 (~E(a3,f15(f6(f4(a1))))),
% 2.38/2.47 inference(scs_inference,[],[27,36,363,81,73,18,14,12,5,2])).
% 2.38/2.47 cnf(427,plain,
% 2.38/2.47 (~E(a3,f4(a28))),
% 2.38/2.47 inference(scs_inference,[],[27,36,46,258,363,81,73,18,14,12,5,2,3])).
% 2.38/2.47 cnf(428,plain,
% 2.38/2.47 (P2(f9(f2(a1),a3))),
% 2.38/2.47 inference(scs_inference,[],[27,36,46,120,28,258,363,81,73,18,14,12,5,2,3,91])).
% 2.38/2.47 cnf(432,plain,
% 2.38/2.47 (~P2(f10(a24,a24))+P4(f8(a12,f8(a12,a12)),f8(f8(a12,a12),f10(a24,a24)))),
% 2.38/2.47 inference(scs_inference,[],[27,36,46,120,28,29,319,258,363,173,182,81,73,18,14,12,5,2,3,91,102,114])).
% 2.38/2.47 cnf(460,plain,
% 2.38/2.47 (E(a20,f8(a14,a14))),
% 2.38/2.47 inference(scs_inference,[],[28,37,50,43,103,102,98,89,91,2])).
% 2.38/2.47 cnf(494,plain,
% 2.38/2.47 (~E(f10(a24,a24),a12)),
% 2.38/2.47 inference(scs_inference,[],[33,121,59,186,359,369,338,299,460,150,237,98,109,111,86,25,103,89,90,21,22,2])).
% 2.38/2.47 cnf(503,plain,
% 2.38/2.47 (~E(a23,x5031)+P2(x5031)),
% 2.38/2.47 inference(scs_inference,[],[33,38,48,121,59,45,186,359,387,369,338,391,299,375,460,150,237,98,109,111,86,25,103,89,90,21,22,2,3,100,108,112,20])).
% 2.38/2.47 cnf(506,plain,
% 2.38/2.47 (~E(a23,f10(a23,a26))+~P4(a18,a18)+~P2(f10(a24,a24))+P4(f8(a18,f10(a23,a26)),f8(a18,f10(a24,a24)))),
% 2.38/2.47 inference(scs_inference,[],[33,38,48,62,121,59,45,186,359,387,369,338,391,299,375,460,150,237,98,109,111,86,25,103,89,90,21,22,2,3,100,108,112,20,107,114])).
% 2.38/2.47 cnf(518,plain,
% 2.38/2.47 (E(f10(f8(a24,a24),f8(a24,a24)),f8(a24,f10(a24,a24)))),
% 2.38/2.47 inference(scs_inference,[],[39,109,111])).
% 2.38/2.47 cnf(522,plain,
% 2.38/2.47 (P1(f4(a13))),
% 2.38/2.47 inference(scs_inference,[],[39,167,382,210,184,109,111,106,19])).
% 2.38/2.47 cnf(523,plain,
% 2.38/2.47 (E(f10(f8(a24,a24),f8(a24,a24)),f8(f10(a24,a24),a24))),
% 2.38/2.47 inference(scs_inference,[],[39,167,382,210,184,109,111,106,19,112])).
% 2.38/2.47 cnf(527,plain,
% 2.38/2.47 (P4(f8(a12,f10(a12,a12)),f10(f8(a12,a12),f8(a12,a12)))),
% 2.38/2.47 inference(scs_inference,[],[39,373,204,167,382,210,184,109,111,106,19,112,108,21])).
% 2.38/2.47 cnf(529,plain,
% 2.38/2.47 (E(a22,f8(a14,a16))),
% 2.38/2.47 inference(scs_inference,[],[52,39,373,204,167,382,210,184,109,111,106,19,112,108,21,22,2])).
% 2.38/2.47 cnf(530,plain,
% 2.38/2.47 (~E(f8(a12,a12),f10(a24,a24))),
% 2.38/2.47 inference(scs_inference,[],[52,39,121,373,204,167,299,382,210,184,109,111,106,19,112,108,21,22,2,3])).
% 2.38/2.47 cnf(533,plain,
% 2.38/2.47 (~E(f15(f15(f6(f4(a1)))),a3)),
% 2.38/2.47 inference(scs_inference,[],[52,39,121,373,204,167,299,361,382,210,184,109,111,106,19,112,108,21,22,2,3,71,70])).
% 2.38/2.47 cnf(541,plain,
% 2.38/2.47 (P4(a12,f5(a28,a28))),
% 2.38/2.47 inference(scs_inference,[],[52,39,121,43,45,373,393,204,167,299,361,382,210,184,109,111,106,19,112,108,21,22,2,3,71,70,82,80,74,93])).
% 2.38/2.47 cnf(547,plain,
% 2.38/2.47 (P5(f15(f6(f4(a1))),f15(f15(f6(f4(a1)))))),
% 2.38/2.47 inference(scs_inference,[],[52,39,121,43,45,373,393,204,167,299,361,382,210,184,109,111,106,19,112,108,21,22,2,3,71,70,82,80,74,93,92,84,85])).
% 2.38/2.47 cnf(555,plain,
% 2.38/2.47 (P1(f4(a28))),
% 2.38/2.47 inference(scs_inference,[],[52,39,121,43,45,373,393,204,167,299,361,382,210,184,109,111,106,19,112,108,21,22,2,3,71,70,82,80,74,93,92,84,85,79,76,77,72])).
% 2.38/2.47 cnf(562,plain,
% 2.38/2.47 (E(f10(f10(f8(a24,a24),f8(a24,a24)),f10(f8(a24,a24),f8(a24,a24))),f8(f10(a24,a24),f10(a24,a24)))),
% 2.38/2.47 inference(scs_inference,[],[52,39,121,43,45,373,393,204,167,299,361,382,210,184,109,111,106,19,112,108,21,22,2,3,71,70,82,80,74,93,92,84,85,79,76,77,72,17,16,6,83,118])).
% 2.38/2.47 cnf(579,plain,
% 2.38/2.47 (E(f2(f8(a14,a16)),f2(a22))),
% 2.38/2.47 inference(scs_inference,[],[29,52,39,122,121,36,43,45,373,418,423,428,393,204,160,167,299,375,361,382,210,184,109,111,106,19,112,108,21,22,2,3,71,70,82,80,74,93,92,84,85,79,76,77,72,17,16,6,83,118,114,20,115,87,15,11,10,9,8,7,4])).
% 2.38/2.47 cnf(584,plain,
% 2.38/2.47 (~P2(f10(a24,a24))+~E(f8(f10(a24,a24),f10(a24,a24)),f8(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[29,52,39,122,121,36,60,43,45,44,373,418,423,428,393,494,204,160,167,299,375,361,382,210,184,109,111,106,19,112,108,21,22,2,3,71,70,82,80,74,93,92,84,85,79,76,77,72,17,16,6,83,118,114,20,115,87,15,11,10,9,8,7,4,100,23,24,110])).
% 2.38/2.47 cnf(604,plain,
% 2.38/2.47 (~E(f10(a24,a24),f8(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[29,40,122,530,562,340,541,179,111,106,118,109,112,108,113,2])).
% 2.38/2.47 cnf(605,plain,
% 2.38/2.47 (E(f11(f11(a12)),f8(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[29,40,122,530,562,146,340,541,299,179,111,106,118,109,112,108,113,2,3])).
% 2.38/2.47 cnf(614,plain,
% 2.38/2.47 (E(f8(f8(a17,a21),x6141),f8(a23,x6141))),
% 2.38/2.47 inference(scs_inference,[],[29,53,40,46,122,43,42,530,562,146,340,541,299,179,111,106,118,109,112,108,113,2,3,117,73,81,18,12,5])).
% 2.38/2.47 cnf(615,plain,
% 2.38/2.47 (P2(f5(f2(a28),f2(a1)))),
% 2.38/2.47 inference(scs_inference,[],[29,53,40,46,122,120,43,42,530,562,146,340,541,128,299,375,179,111,106,118,109,112,108,113,2,3,117,73,81,18,12,5,100])).
% 2.38/2.47 cnf(621,plain,
% 2.38/2.47 (P4(a25,a25)),
% 2.38/2.47 inference(scs_inference,[],[29,53,40,41,64,46,122,120,43,42,530,562,547,523,146,340,579,541,186,128,299,375,179,111,106,118,109,112,108,113,2,3,117,73,81,18,12,5,100,24,21,82,88])).
% 2.38/2.47 cnf(641,plain,
% 2.38/2.47 (E(a24,f8(a19,a22))),
% 2.38/2.47 inference(scs_inference,[],[30,54,527,202,541,340,13,89,107,118,22,2])).
% 2.38/2.47 cnf(668,plain,
% 2.38/2.47 (E(a12,f10(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[305,210,184,29,101])).
% 2.38/2.47 cnf(685,plain,
% 2.38/2.47 (~E(f10(a24,a24),f11(f11(a12)))),
% 2.38/2.47 inference(scs_inference,[],[30,38,64,41,37,604,605,518,621,533,529,394,163,305,210,184,29,101,102,89,90,118,113,20,21,22,2,3])).
% 2.38/2.47 cnf(688,plain,
% 2.38/2.47 (E(f8(f11(a14),f11(a14)),f8(a14,a14))),
% 2.38/2.47 inference(scs_inference,[],[30,38,64,41,37,604,605,518,621,533,529,394,163,305,210,184,29,101,102,89,90,118,113,20,21,22,2,3,103,98])).
% 2.38/2.47 cnf(692,plain,
% 2.38/2.47 (P4(f8(f8(a12,a12),f8(a12,a12)),f8(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[30,38,64,41,37,43,604,605,518,621,533,529,394,356,241,163,305,173,210,182,184,29,101,102,89,90,118,113,20,21,22,2,3,103,98,87,114])).
% 2.38/2.47 cnf(712,plain,
% 2.38/2.47 (P4(f10(a21,a21),f10(a21,a21))),
% 2.38/2.47 inference(scs_inference,[],[34,36,418,103,98,90,113])).
% 2.38/2.47 cnf(719,plain,
% 2.38/2.47 (P1(f15(f4(a28)))),
% 2.38/2.47 inference(scs_inference,[],[126,50,34,36,45,39,688,555,641,418,391,375,103,98,90,113,20,2,3,94,71])).
% 2.38/2.47 cnf(721,plain,
% 2.38/2.47 (~E(f15(f4(a28)),a3)),
% 2.38/2.47 inference(scs_inference,[],[126,50,34,36,45,39,688,555,641,418,391,375,103,98,90,113,20,2,3,94,71,70])).
% 2.38/2.47 cnf(725,plain,
% 2.38/2.47 (P4(a12,f8(a16,a16))),
% 2.38/2.47 inference(scs_inference,[],[31,126,50,34,36,45,39,688,555,641,418,391,375,103,98,90,113,20,2,3,94,71,70,74,92])).
% 2.38/2.47 cnf(735,plain,
% 2.38/2.47 (P5(f4(a28),f15(f4(a28)))),
% 2.38/2.47 inference(scs_inference,[],[31,126,50,34,36,45,39,688,555,641,418,391,375,103,98,90,113,20,2,3,94,71,70,74,92,84,80,93,83,85])).
% 2.38/2.47 cnf(743,plain,
% 2.38/2.47 (P1(f4(a27))),
% 2.38/2.47 inference(scs_inference,[],[31,126,50,34,36,45,39,688,555,641,418,391,375,103,98,90,113,20,2,3,94,71,70,74,92,84,80,93,83,85,79,76,77,72])).
% 2.38/2.47 cnf(746,plain,
% 2.38/2.47 (E(f7(f9(a13,a3),x7461),f7(f9(a1,a3),x7461))),
% 2.38/2.47 inference(scs_inference,[],[31,126,50,34,36,45,39,688,555,641,418,391,375,103,98,90,113,20,2,3,94,71,70,74,92,84,80,93,83,85,79,76,77,72,16,17])).
% 2.38/2.47 cnf(753,plain,
% 2.38/2.47 (E(f2(f9(a13,a3)),f2(f9(a1,a3)))),
% 2.38/2.47 inference(scs_inference,[],[31,126,50,34,36,45,39,688,555,641,418,391,375,103,98,90,113,20,2,3,94,71,70,74,92,84,80,93,83,85,79,76,77,72,16,17,15,11,9,8,7,6,4])).
% 2.38/2.47 cnf(755,plain,
% 2.38/2.47 (P1(f6(f15(f4(a28))))),
% 2.38/2.47 inference(scs_inference,[],[31,126,50,34,36,45,39,688,555,641,418,391,375,103,98,90,113,20,2,3,94,71,70,74,92,84,80,93,83,85,79,76,77,72,16,17,15,11,9,8,7,6,4,10,75])).
% 2.38/2.47 cnf(785,plain,
% 2.38/2.47 (E(f15(f6(f15(f4(a28)))),f15(f4(a28)))),
% 2.38/2.47 inference(scs_inference,[],[31,56,41,46,259,685,614,719,735,725,721,24,89,107,2,3,73,81,78])).
% 2.38/2.47 cnf(787,plain,
% 2.38/2.47 (E(f6(f15(f4(a28))),f4(a28))),
% 2.38/2.47 inference(scs_inference,[],[31,56,41,46,259,755,685,614,719,735,725,721,555,24,89,107,2,3,73,81,78,86])).
% 2.38/2.47 cnf(828,plain,
% 2.38/2.47 (P4(a12,a21)),
% 2.38/2.47 inference(scs_inference,[],[32,57,51,34,59,668,725,111,112,109,108,89,13,90,21,22])).
% 2.38/2.47 cnf(829,plain,
% 2.38/2.47 (E(a14,f9(a1,f4(a1)))),
% 2.38/2.47 inference(scs_inference,[],[32,57,51,34,59,668,725,111,112,109,108,89,13,90,21,22,2])).
% 2.38/2.47 cnf(830,plain,
% 2.38/2.47 (~E(f10(a12,a12),f10(a24,a24))),
% 2.38/2.47 inference(scs_inference,[],[32,57,51,121,34,59,668,725,111,112,109,108,89,13,90,21,22,2,3])).
% 2.38/2.47 cnf(860,plain,
% 2.38/2.47 (~E(f10(a24,a24),f10(a12,a12))),
% 2.38/2.47 inference(scs_inference,[],[38,36,692,615,830,829,828,388,132,142,418,112,111,114,109,108,90,20,21,22,2])).
% 2.38/2.47 cnf(861,plain,
% 2.38/2.47 (E(f4(f2(a28)),f4(a13))),
% 2.38/2.47 inference(scs_inference,[],[128,38,36,692,615,830,829,828,388,132,167,142,418,112,111,114,109,108,90,20,21,22,2,3])).
% 2.38/2.47 cnf(874,plain,
% 2.38/2.47 (~P2(f10(a23,a26))+~P4(a12,a17)+E(f9(x8741,f4(a27)),f9(f2(a1),f4(a27)))+~E(x8741,f2(f2(a1)))+P4(a12,f10(f10(a23,a26),a17))),
% 2.38/2.47 inference(scs_inference,[],[32,128,38,36,59,120,692,615,830,753,743,829,828,388,530,319,132,167,142,418,182,112,111,114,109,108,90,20,21,22,2,3,102,101,99,94,82,88,106])).
% 2.38/2.47 cnf(882,plain,
% 2.38/2.47 (~P2(f10(a23,a26))+E(f9(f2(f2(a1)),f4(a27)),f9(f2(a1),f4(a27)))+~P4(a12,a17)+P4(a12,f10(f10(a23,a26),a17))),
% 2.38/2.47 inference(equality_inference,[],[874])).
% 2.38/2.47 cnf(886,plain,
% 2.38/2.47 (P4(a12,f10(a21,a21))),
% 2.38/2.47 inference(scs_inference,[],[33,36,828,102,106])).
% 2.38/2.47 cnf(892,plain,
% 2.38/2.47 (~E(f6(f15(a3)),f15(f4(a13)))),
% 2.38/2.47 inference(scs_inference,[],[33,58,124,130,36,338,828,173,182,102,106,114,13,2,3])).
% 2.38/2.47 cnf(905,plain,
% 2.38/2.47 (P4(a12,f5(a13,a13))),
% 2.38/2.47 inference(scs_inference,[],[33,58,124,130,36,44,66,42,338,755,828,173,182,102,106,114,13,2,3,70,116,74,92,84,71,93])).
% 2.38/2.47 cnf(937,plain,
% 2.38/2.47 (P5(f4(a28),f15(f6(f15(f4(a28)))))),
% 2.38/2.47 inference(scs_inference,[],[33,58,124,130,36,44,66,42,785,787,338,755,719,721,828,173,375,182,28,102,106,114,13,2,3,70,116,74,92,84,71,93,85,79,80,83,76,77,72,98,86,16,11,8,7,6,103,17,15,9,4,25,24])).
% 2.38/2.47 cnf(938,plain,
% 2.38/2.47 (P2(f10(a21,a21))),
% 2.38/2.47 inference(scs_inference,[],[33,58,124,130,36,44,66,42,785,787,338,755,719,721,828,173,375,182,28,102,106,114,13,2,3,70,116,74,92,84,71,93,85,79,80,83,76,77,72,98,86,16,11,8,7,6,103,17,15,9,4,25,24,89])).
% 2.38/2.47 cnf(974,plain,
% 2.38/2.47 (~E(f15(f4(a13)),f6(f15(a3)))),
% 2.38/2.47 inference(scs_inference,[],[49,47,37,40,892,905,426,361,28,103,98,86,10,118,89,22,2])).
% 2.38/2.47 cnf(975,plain,
% 2.38/2.47 (~E(a3,f15(f4(a13)))),
% 2.38/2.47 inference(scs_inference,[],[49,47,37,40,892,905,426,293,361,28,103,98,86,10,118,89,22,2,3])).
% 2.38/2.47 cnf(984,plain,
% 2.38/2.47 (E(f8(f5(a13,a27),x9841),f8(a19,x9841))),
% 2.38/2.47 inference(scs_inference,[],[33,49,47,37,40,44,892,905,426,861,293,361,375,28,103,98,86,10,118,89,22,2,3,73,117,81,12,18,5])).
% 2.38/2.47 cnf(988,plain,
% 2.38/2.47 (~E(a23,f10(a23,a26))+~P2(f10(a24,a24))+P4(f8(a18,f10(a23,a26)),f8(a18,f10(a24,a24)))),
% 2.38/2.47 inference(scs_inference,[],[33,49,47,37,40,44,938,892,712,905,426,886,861,293,361,375,28,103,98,86,10,118,89,22,2,3,73,117,81,12,18,5,114,882,506])).
% 2.38/2.47 cnf(1003,plain,
% 2.38/2.47 (E(a25,f8(a23,a26))),
% 2.38/2.47 inference(scs_inference,[],[56,132,41,829,14,118,22,2])).
% 2.38/2.47 cnf(1010,plain,
% 2.38/2.47 (~P2(x10101)+P4(a12,f10(x10101,x10102))+~P4(a12,x10102)+~P4(a12,x10101)+~P2(x10102)),
% 2.38/2.47 inference(rename_variables,[],[106])).
% 2.38/2.47 cnf(1011,plain,
% 2.38/2.47 (P4(f10(a12,a12),f10(a24,a24))),
% 2.38/2.47 inference(scs_inference,[],[56,132,41,122,60,36,120,44,746,156,829,668,167,828,29,14,118,22,2,3,97,106,21])).
% 2.38/2.47 cnf(1016,plain,
% 2.38/2.47 (~P2(f10(a24,a24))+~E(f8(f10(a24,a24),f10(a24,a24)),f8(f8(a12,a12),f8(a12,a12)))),
% 2.38/2.47 inference(scs_inference,[],[34,56,132,41,122,60,36,43,120,44,746,156,829,604,668,167,828,173,182,29,14,118,22,2,3,97,106,21,117,1010,110])).
% 2.38/2.47 cnf(1064,plain,
% 2.38/2.47 (P1(f15(f4(a13)))),
% 2.38/2.47 inference(scs_inference,[],[35,134,46,41,937,427,1003,621,522,787,111,112,24,21,2,3,92,84,71])).
% 2.38/2.47 cnf(1190,plain,
% 2.38/2.47 (~P2(f10(a23,a26))),
% 2.38/2.47 inference(scs_inference,[],[36,124,62,132,54,121,38,59,60,122,39,860,984,974,1064,1011,237,68,418,184,30,29,98,103,86,109,89,108,113,2,3,1016,584,432,988,101,110,114])).
% 2.38/2.47 cnf(1224,plain,
% 2.38/2.47 ($false),
% 2.38/2.47 inference(scs_inference,[],[57,38,40,1190,975,1064,28,503,265,86,14,89]),
% 2.38/2.47 ['proof']).
% 2.38/2.47 % SZS output end Proof
% 2.38/2.47 % Total time :1.820000s
%------------------------------------------------------------------------------