TSTP Solution File: RNG070+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG070+2 : 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 : n008.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 2.79s 2.89s
% Output : CNFRefutation 2.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG070+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.33 % Computer : n008.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun Aug 27 01:52:02 EDT 2023
% 0.14/0.33 % CPUTime :
% 0.18/0.58 start to proof:theBenchmark
% 2.70/2.87 %-------------------------------------------
% 2.70/2.87 % File :CSE---1.6
% 2.70/2.87 % Problem :theBenchmark
% 2.70/2.87 % Transform :cnf
% 2.70/2.87 % Format :tptp:raw
% 2.70/2.87 % Command :java -jar mcs_scs.jar %d %s
% 2.70/2.87
% 2.70/2.87 % Result :Theorem 2.210000s
% 2.70/2.87 % Output :CNFRefutation 2.210000s
% 2.70/2.87 %-------------------------------------------
% 2.79/2.87 %------------------------------------------------------------------------------
% 2.79/2.87 % File : RNG070+2 : TPTP v8.1.2. Released v4.0.0.
% 2.79/2.87 % Domain : Ring Theory
% 2.79/2.87 % Problem : Cauchy-Bouniakowsky-Schwarz inequality 05_16_04, 01 expansion
% 2.79/2.87 % Version : Especial.
% 2.79/2.87 % English :
% 2.79/2.87
% 2.79/2.87 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 2.79/2.87 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 2.79/2.87 % Source : [Pas08]
% 2.79/2.87 % Names : cauchy_05_16_04.01 [Pas08]
% 2.79/2.87
% 2.79/2.87 % Status : ContradictoryAxioms
% 2.79/2.87 % Rating : 0.28 v8.1.0, 0.19 v7.4.0, 0.27 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.26 v7.0.0, 0.33 v6.4.0, 0.35 v6.3.0, 0.25 v6.2.0, 0.24 v6.1.0, 0.33 v6.0.0, 0.26 v5.5.0, 0.41 v5.4.0, 0.43 v5.3.0, 0.52 v5.2.0, 0.40 v5.1.0, 0.52 v5.0.0, 0.58 v4.1.0, 0.65 v4.0.1, 0.83 v4.0.0
% 2.79/2.87 % Syntax : Number of formulae : 61 ( 10 unt; 1 def)
% 2.79/2.87 % Number of atoms : 198 ( 61 equ)
% 2.79/2.87 % Maximal formula atoms : 9 ( 3 avg)
% 2.79/2.87 % Number of connectives : 144 ( 7 ~; 1 |; 80 &)
% 2.79/2.87 % ( 1 <=>; 55 =>; 0 <=; 0 <~>)
% 2.79/2.87 % Maximal formula depth : 10 ( 4 avg)
% 2.79/2.87 % Maximal term depth : 5 ( 1 avg)
% 2.79/2.87 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 2.79/2.88 % Number of functors : 26 ( 26 usr; 18 con; 0-2 aty)
% 2.79/2.88 % Number of variables : 73 ( 72 !; 1 ?)
% 2.79/2.88 % SPC : FOF_CAX_RFO_SEQ
% 2.79/2.88
% 2.79/2.88 % Comments : Problem generated by the SAD system [VLP07]
% 2.79/2.88 %------------------------------------------------------------------------------
% 2.79/2.88 fof(mNatSort,axiom,
% 2.79/2.88 ! [W0] :
% 2.79/2.88 ( aNaturalNumber0(W0)
% 2.79/2.88 => $true ) ).
% 2.79/2.88
% 2.79/2.88 fof(mZeroNat,axiom,
% 2.79/2.88 aNaturalNumber0(sz00) ).
% 2.79/2.88
% 2.79/2.88 fof(mSuccNat,axiom,
% 2.79/2.88 ! [W0] :
% 2.79/2.88 ( aNaturalNumber0(W0)
% 2.79/2.88 => ( aNaturalNumber0(szszuzczcdt0(W0))
% 2.79/2.88 & szszuzczcdt0(W0) != sz00 ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mNatExtr,axiom,
% 2.79/2.88 ! [W0] :
% 2.79/2.88 ( ( aNaturalNumber0(W0)
% 2.79/2.88 & W0 != sz00 )
% 2.79/2.88 => ? [W1] :
% 2.79/2.88 ( aNaturalNumber0(W1)
% 2.79/2.88 & W0 = szszuzczcdt0(W1) ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mSuccEqu,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aNaturalNumber0(W0)
% 2.79/2.88 & aNaturalNumber0(W1) )
% 2.79/2.88 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 2.79/2.88 => W0 = W1 ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mIHOrd,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aNaturalNumber0(W0)
% 2.79/2.88 & aNaturalNumber0(W1) )
% 2.79/2.88 => ( iLess0(W0,W1)
% 2.79/2.88 => $true ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mIH,axiom,
% 2.79/2.88 ! [W0] :
% 2.79/2.88 ( aNaturalNumber0(W0)
% 2.79/2.88 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mScSort,axiom,
% 2.79/2.88 ! [W0] :
% 2.79/2.88 ( aScalar0(W0)
% 2.79/2.88 => $true ) ).
% 2.79/2.88
% 2.79/2.88 fof(mSZeroSc,axiom,
% 2.79/2.88 aScalar0(sz0z00) ).
% 2.79/2.88
% 2.79/2.88 fof(mSumSc,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1) )
% 2.79/2.88 => aScalar0(sdtpldt0(W0,W1)) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mMulSc,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1) )
% 2.79/2.88 => aScalar0(sdtasdt0(W0,W1)) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mNegSc,axiom,
% 2.79/2.88 ! [W0] :
% 2.79/2.88 ( aScalar0(W0)
% 2.79/2.88 => aScalar0(smndt0(W0)) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mScZero,axiom,
% 2.79/2.88 ! [W0] :
% 2.79/2.88 ( aScalar0(W0)
% 2.79/2.88 => ( sdtpldt0(W0,sz0z00) = W0
% 2.79/2.88 & sdtpldt0(sz0z00,W0) = W0
% 2.79/2.88 & sdtasdt0(W0,sz0z00) = sz0z00
% 2.79/2.88 & sdtasdt0(sz0z00,W0) = sz0z00
% 2.79/2.88 & sdtpldt0(W0,smndt0(W0)) = sz0z00
% 2.79/2.88 & sdtpldt0(smndt0(W0),W0) = sz0z00
% 2.79/2.88 & smndt0(smndt0(W0)) = W0
% 2.79/2.88 & smndt0(sz0z00) = sz0z00 ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mArith,axiom,
% 2.79/2.88 ! [W0,W1,W2] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1)
% 2.79/2.88 & aScalar0(W2) )
% 2.79/2.88 => ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
% 2.79/2.88 & sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
% 2.79/2.88 & sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
% 2.79/2.88 & sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mDistr,axiom,
% 2.79/2.88 ! [W0,W1,W2] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1)
% 2.79/2.88 & aScalar0(W2) )
% 2.79/2.88 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 2.79/2.88 & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mDistr2,axiom,
% 2.79/2.88 ! [W0,W1,W2,W3] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1)
% 2.79/2.88 & aScalar0(W2)
% 2.79/2.88 & aScalar0(W3) )
% 2.79/2.88 => sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mMNeg,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1) )
% 2.79/2.88 => ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
% 2.79/2.88 & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mMDNeg,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1) )
% 2.79/2.88 => sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mLess,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1) )
% 2.79/2.88 => ( sdtlseqdt0(W0,W1)
% 2.79/2.88 => $true ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mLERef,axiom,
% 2.79/2.88 ! [W0] :
% 2.79/2.88 ( aScalar0(W0)
% 2.79/2.88 => sdtlseqdt0(W0,W0) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mLEASm,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1) )
% 2.79/2.88 => ( ( sdtlseqdt0(W0,W1)
% 2.79/2.88 & sdtlseqdt0(W1,W0) )
% 2.79/2.88 => W0 = W1 ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mLETrn,axiom,
% 2.79/2.88 ! [W0,W1,W2] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1)
% 2.79/2.88 & aScalar0(W2) )
% 2.79/2.88 => ( ( sdtlseqdt0(W0,W1)
% 2.79/2.88 & sdtlseqdt0(W1,W2) )
% 2.79/2.88 => sdtlseqdt0(W0,W2) ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mLEMon,axiom,
% 2.79/2.88 ! [W0,W1,W2,W3] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1)
% 2.79/2.88 & aScalar0(W2)
% 2.79/2.88 & aScalar0(W3) )
% 2.79/2.88 => ( ( sdtlseqdt0(W0,W1)
% 2.79/2.88 & sdtlseqdt0(W2,W3) )
% 2.79/2.88 => sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mLEMonM,axiom,
% 2.79/2.88 ! [W0,W1,W2,W3] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1)
% 2.79/2.88 & aScalar0(W2)
% 2.79/2.88 & aScalar0(W3) )
% 2.79/2.88 => ( ( sdtlseqdt0(W0,W1)
% 2.79/2.88 & sdtlseqdt0(sz0z00,W2)
% 2.79/2.88 & sdtlseqdt0(W2,W3) )
% 2.79/2.88 => sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mLETot,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1) )
% 2.79/2.88 => ( sdtlseqdt0(W0,W1)
% 2.79/2.88 | sdtlseqdt0(W1,W0) ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mPosMon,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1) )
% 2.79/2.88 => ( ( sdtlseqdt0(sz0z00,W0)
% 2.79/2.88 & sdtlseqdt0(sz0z00,W1) )
% 2.79/2.88 => ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))
% 2.79/2.88 & sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mSqPos,axiom,
% 2.79/2.88 ! [W0] :
% 2.79/2.88 ( aScalar0(W0)
% 2.79/2.88 => sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mSqrt,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aScalar0(W0)
% 2.79/2.88 & aScalar0(W1) )
% 2.79/2.88 => ( ( sdtlseqdt0(sz0z00,W0)
% 2.79/2.88 & sdtlseqdt0(sz0z00,W1)
% 2.79/2.88 & sdtasdt0(W0,W0) = sdtasdt0(W1,W1) )
% 2.79/2.88 => W0 = W1 ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mVcSort,axiom,
% 2.79/2.88 ! [W0] :
% 2.79/2.88 ( aVector0(W0)
% 2.79/2.88 => $true ) ).
% 2.79/2.88
% 2.79/2.88 fof(mDimNat,axiom,
% 2.79/2.88 ! [W0] :
% 2.79/2.88 ( aVector0(W0)
% 2.79/2.88 => aNaturalNumber0(aDimensionOf0(W0)) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mElmSc,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aVector0(W0)
% 2.79/2.88 & aNaturalNumber0(W1) )
% 2.79/2.88 => aScalar0(sdtlbdtrb0(W0,W1)) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mDefInit,definition,
% 2.79/2.88 ! [W0] :
% 2.79/2.88 ( aVector0(W0)
% 2.79/2.88 => ( aDimensionOf0(W0) != sz00
% 2.79/2.88 => ! [W1] :
% 2.79/2.88 ( W1 = sziznziztdt0(W0)
% 2.79/2.88 <=> ( aVector0(W1)
% 2.79/2.88 & szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)
% 2.79/2.88 & ! [W2] :
% 2.79/2.88 ( aNaturalNumber0(W2)
% 2.79/2.88 => sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mEqInit,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aVector0(W0)
% 2.79/2.88 & aVector0(W1) )
% 2.79/2.88 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.79/2.88 & aDimensionOf0(W1) != sz00 )
% 2.79/2.88 => aDimensionOf0(sziznziztdt0(W0)) = aDimensionOf0(sziznziztdt0(W1)) ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mScPr,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aVector0(W0)
% 2.79/2.88 & aVector0(W1) )
% 2.79/2.88 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.79/2.88 => aScalar0(sdtasasdt0(W0,W1)) ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mDefSPZ,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aVector0(W0)
% 2.79/2.88 & aVector0(W1) )
% 2.79/2.88 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.79/2.88 & aDimensionOf0(W1) = sz00 )
% 2.79/2.88 => sdtasasdt0(W0,W1) = sz0z00 ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mDefSPN,axiom,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aVector0(W0)
% 2.79/2.88 & aVector0(W1) )
% 2.79/2.88 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.79/2.88 & aDimensionOf0(W1) != sz00 )
% 2.79/2.88 => sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))) ) ) ).
% 2.79/2.88
% 2.79/2.88 fof(mScSqPos,axiom,
% 2.79/2.88 ! [W0] :
% 2.79/2.88 ( aVector0(W0)
% 2.79/2.88 => sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ) ).
% 2.79/2.88
% 2.79/2.88 fof(m__1678,hypothesis,
% 2.79/2.88 ( aVector0(xs)
% 2.79/2.88 & aVector0(xt) ) ).
% 2.79/2.88
% 2.79/2.88 fof(m__1652,hypothesis,
% 2.79/2.88 ! [W0,W1] :
% 2.79/2.88 ( ( aVector0(W0)
% 2.79/2.89 & aVector0(W1) )
% 2.79/2.89 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.79/2.89 => ( iLess0(aDimensionOf0(W0),aDimensionOf0(xs))
% 2.79/2.89 => sdtlseqdt0(sdtasdt0(sdtasasdt0(W0,W1),sdtasasdt0(W0,W1)),sdtasdt0(sdtasasdt0(W0,W0),sdtasasdt0(W1,W1))) ) ) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1678_01,hypothesis,
% 2.79/2.89 aDimensionOf0(xs) = aDimensionOf0(xt) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1692,hypothesis,
% 2.79/2.89 aDimensionOf0(xs) != sz00 ).
% 2.79/2.89
% 2.79/2.89 fof(m__1709,hypothesis,
% 2.79/2.89 ( aVector0(xp)
% 2.79/2.89 & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
% 2.79/2.89 & ! [W0] :
% 2.79/2.89 ( aNaturalNumber0(W0)
% 2.79/2.89 => sdtlbdtrb0(xp,W0) = sdtlbdtrb0(xs,W0) )
% 2.79/2.89 & xp = sziznziztdt0(xs) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1726,hypothesis,
% 2.79/2.89 ( aVector0(xq)
% 2.79/2.89 & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
% 2.79/2.89 & ! [W0] :
% 2.79/2.89 ( aNaturalNumber0(W0)
% 2.79/2.89 => sdtlbdtrb0(xq,W0) = sdtlbdtrb0(xt,W0) )
% 2.79/2.89 & xq = sziznziztdt0(xt) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1746,hypothesis,
% 2.79/2.89 ( aScalar0(xA)
% 2.79/2.89 & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1766,hypothesis,
% 2.79/2.89 ( aScalar0(xB)
% 2.79/2.89 & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1783,hypothesis,
% 2.79/2.89 ( aScalar0(xC)
% 2.79/2.89 & xC = sdtasasdt0(xp,xp) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1800,hypothesis,
% 2.79/2.89 ( aScalar0(xD)
% 2.79/2.89 & xD = sdtasasdt0(xq,xq) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1820,hypothesis,
% 2.79/2.89 ( aScalar0(xE)
% 2.79/2.89 & xE = sdtasasdt0(xp,xq) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1837,hypothesis,
% 2.79/2.89 ( aScalar0(xF)
% 2.79/2.89 & xF = sdtasdt0(xA,xA) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1854,hypothesis,
% 2.79/2.89 ( aScalar0(xG)
% 2.79/2.89 & xG = sdtasdt0(xB,xB) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1873,hypothesis,
% 2.79/2.89 ( aScalar0(xH)
% 2.79/2.89 & xH = sdtasdt0(xA,xB) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1892,hypothesis,
% 2.79/2.89 ( aScalar0(xR)
% 2.79/2.89 & xR = sdtasdt0(xC,xG) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1911,hypothesis,
% 2.79/2.89 ( aScalar0(xP)
% 2.79/2.89 & xP = sdtasdt0(xE,xH) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1930,hypothesis,
% 2.79/2.89 ( aScalar0(xS)
% 2.79/2.89 & xS = sdtasdt0(xF,xD) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1949,hypothesis,
% 2.79/2.89 ( aScalar0(xN)
% 2.79/2.89 & xN = sdtasdt0(xR,xS) ) ).
% 2.79/2.89
% 2.79/2.89 fof(m__1967,hypothesis,
% 2.79/2.89 sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ).
% 2.79/2.89
% 2.79/2.89 fof(m__2004,hypothesis,
% 2.79/2.89 sdtlseqdt0(sdtasdt0(xP,xP),xN) ).
% 2.79/2.89
% 2.79/2.89 fof(m__2104,hypothesis,
% 2.79/2.89 sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ).
% 2.79/2.89
% 2.79/2.89 fof(m__2405,hypothesis,
% 2.79/2.89 sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ).
% 2.79/2.89
% 2.79/2.89 fof(m__2590,hypothesis,
% 2.79/2.89 ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ).
% 2.79/2.89
% 2.79/2.89 fof(m__,conjecture,
% 2.79/2.89 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ).
% 2.79/2.89
% 2.79/2.89 %------------------------------------------------------------------------------
% 2.79/2.89 %-------------------------------------------
% 2.79/2.89 % Proof found
% 2.79/2.89 % SZS status Theorem for theBenchmark
% 2.79/2.89 % SZS output start Proof
% 2.79/2.89 %ClaNum:119(EqnAxiom:25)
% 2.79/2.89 %VarNum:315(SingletonVarNum:98)
% 2.79/2.89 %MaxLitNum:8
% 2.79/2.89 %MaxfuncDepth:4
% 2.79/2.89 %SharedTerms:93
% 2.79/2.89 %goalClause: 66
% 2.79/2.89 %singleGoalClaCount:1
% 2.79/2.89 [28]P1(a3)
% 2.79/2.89 [29]P2(a12)
% 2.79/2.89 [30]P2(a14)
% 2.79/2.89 [31]P2(a16)
% 2.79/2.89 [32]P2(a17)
% 2.79/2.89 [33]P2(a18)
% 2.79/2.89 [34]P2(a19)
% 2.79/2.89 [35]P2(a20)
% 2.79/2.89 [36]P2(a21)
% 2.79/2.89 [37]P2(a22)
% 2.79/2.89 [38]P2(a23)
% 2.79/2.89 [39]P2(a24)
% 2.79/2.89 [40]P2(a26)
% 2.79/2.89 [41]P2(a25)
% 2.79/2.89 [42]P3(a1)
% 2.79/2.89 [43]P3(a28)
% 2.79/2.89 [44]P3(a13)
% 2.79/2.89 [45]P3(a27)
% 2.79/2.89 [26]E(f2(a1),a13)
% 2.79/2.89 [27]E(f2(a28),a27)
% 2.79/2.89 [46]E(f4(a28),f4(a1))
% 2.79/2.89 [49]E(f5(a13,a13),a17)
% 2.79/2.89 [50]E(f5(a27,a27),a18)
% 2.79/2.89 [51]E(f5(a13,a27),a19)
% 2.79/2.89 [52]E(f8(a14,a14),a20)
% 2.79/2.89 [53]E(f8(a16,a16),a21)
% 2.79/2.89 [54]E(f8(a14,a16),a22)
% 2.79/2.89 [55]E(f8(a17,a21),a23)
% 2.79/2.89 [56]E(f8(a19,a22),a24)
% 2.79/2.89 [57]E(f8(a20,a18),a26)
% 2.79/2.89 [58]E(f8(a23,a26),a25)
% 2.79/2.89 [61]P4(f8(a24,a24),a25)
% 2.79/2.89 [62]P4(f8(a19,a19),f8(a17,a18))
% 2.79/2.89 [65]~E(f4(a1),a3)
% 2.79/2.89 [66]~P4(f10(a23,a26),f10(a24,a24))
% 2.79/2.89 [67]~P4(f10(a24,a24),f10(a23,a26))
% 2.79/2.89 [47]E(f15(f4(a13)),f4(a1))
% 2.79/2.89 [48]E(f15(f4(a27)),f4(a28))
% 2.79/2.89 [59]E(f9(a1,f4(a1)),a14)
% 2.79/2.89 [60]E(f9(a28,f4(a28)),a16)
% 2.79/2.89 [63]P4(f10(f8(a24,a24),f8(a24,a24)),f10(f8(a23,a23),f8(a26,a26)))
% 2.79/2.89 [64]P4(f8(f10(a24,a24),f10(a24,a24)),f8(f10(a23,a26),f10(a23,a26)))
% 2.79/2.89 [80]~P2(x801)+P4(x801,x801)
% 2.79/2.89 [68]~P2(x681)+E(f11(a12),a12)
% 2.79/2.89 [69]~P1(x691)+~E(f15(x691),a3)
% 2.79/2.89 [70]~P1(x701)+P1(f15(x701))
% 2.79/2.89 [71]~P3(x711)+P1(f4(x711))
% 2.79/2.89 [72]~P2(x721)+P2(f11(x721))
% 2.79/2.89 [75]~P2(x751)+E(f8(x751,a12),a12)
% 2.79/2.89 [76]~P2(x761)+E(f8(a12,x761),a12)
% 2.79/2.89 [78]~P2(x781)+E(f10(x781,a12),x781)
% 2.79/2.89 [79]~P2(x791)+E(f10(a12,x791),x791)
% 2.79/2.89 [84]~P1(x841)+P5(x841,f15(x841))
% 2.79/2.89 [86]~P1(x861)+E(f9(a13,x861),f9(a1,x861))
% 2.79/2.89 [87]~P1(x871)+E(f9(a28,x871),f9(a27,x871))
% 2.79/2.89 [93]~P2(x931)+P4(a12,f8(x931,x931))
% 2.79/2.89 [94]~P3(x941)+P4(a12,f5(x941,x941))
% 2.79/2.89 [73]~P2(x731)+E(f11(f11(x731)),x731)
% 2.79/2.89 [82]~P2(x821)+E(f10(x821,f11(x821)),a12)
% 2.79/2.89 [83]~P2(x831)+E(f10(f11(x831),x831),a12)
% 2.79/2.89 [74]~P1(x741)+E(x741,a3)+P1(f6(x741))
% 2.79/2.89 [77]~P1(x771)+E(x771,a3)+E(f15(f6(x771)),x771)
% 2.79/2.89 [90]~P2(x902)+~P2(x901)+P2(f10(x901,x902))
% 2.79/2.89 [91]~P2(x912)+~P2(x911)+P2(f8(x911,x912))
% 2.79/2.89 [92]~P1(x922)+~P3(x921)+P2(f9(x921,x922))
% 2.79/2.89 [99]~P2(x992)+~P2(x991)+E(f8(f11(x991),f11(x992)),f8(x991,x992))
% 2.79/2.89 [103]~P2(x1032)+~P2(x1031)+E(f11(f8(x1031,x1032)),f8(x1031,f11(x1032)))
% 2.79/2.89 [104]~P2(x1042)+~P2(x1041)+E(f11(f8(x1041,x1042)),f8(f11(x1041),x1042))
% 2.79/2.89 [89]P4(x892,x891)+~P2(x891)+~P2(x892)+P4(x891,x892)
% 2.79/2.89 [81]~P3(x811)+P3(x812)+~E(x812,f2(x811))+E(f4(x811),a3)
% 2.79/2.89 [85]~P1(x852)+~P1(x851)+E(x851,x852)+~E(f15(x851),f15(x852))
% 2.79/2.89 [101]~P3(x1012)+~P3(x1011)+~E(f4(x1011),f4(x1012))+P2(f5(x1011,x1012))
% 2.79/2.89 [88]~P3(x881)+~E(x882,f2(x881))+E(f4(x881),a3)+E(f15(f4(x882)),f4(x881))
% 2.79/2.89 [96]~P2(x962)+~P2(x961)+~P2(x963)+E(f10(x961,x962),f10(x962,x961))
% 2.79/2.89 [97]~P2(x972)+~P2(x971)+~P2(x973)+E(f8(x971,x972),f8(x972,x971))
% 2.79/2.89 [109]~P2(x1093)+~P2(x1092)+~P2(x1091)+E(f10(f10(x1091,x1092),x1093),f10(x1091,f10(x1092,x1093)))
% 2.79/2.89 [110]~P2(x1103)+~P2(x1102)+~P2(x1101)+E(f8(f8(x1101,x1102),x1103),f8(x1101,f8(x1102,x1103)))
% 2.79/2.89 [112]~P2(x1123)+~P2(x1122)+~P2(x1121)+E(f10(f8(x1121,x1122),f8(x1121,x1123)),f8(x1121,f10(x1122,x1123)))
% 2.79/2.89 [113]~P2(x1132)+~P2(x1133)+~P2(x1131)+E(f10(f8(x1131,x1132),f8(x1133,x1132)),f8(f10(x1131,x1133),x1132))
% 2.79/2.89 [102]~P2(x1022)+~P2(x1021)+~P4(x1022,x1021)+~P4(x1021,x1022)+E(x1021,x1022)
% 2.79/2.89 [95]~P3(x952)+~P3(x951)+~E(f4(x951),f4(x952))+~E(f4(x952),a3)+E(f5(x951,x952),a12)
% 2.79/2.89 [107]~P2(x1072)+~P2(x1071)+~P4(a12,x1072)+~P4(a12,x1071)+P4(a12,f10(x1071,x1072))
% 2.79/2.89 [108]~P2(x1082)+~P2(x1081)+~P4(a12,x1082)+~P4(a12,x1081)+P4(a12,f8(x1081,x1082))
% 2.79/2.89 [98]~P3(x981)+~P3(x982)+~E(f4(x982),f4(x981))+E(f4(x981),a3)+E(f4(f2(x982)),f4(f2(x981)))
% 2.79/2.89 [118]~P3(x1182)+~P3(x1181)+~E(f4(x1181),f4(x1182))+~P5(f4(x1181),f4(a1))+P4(f8(f5(x1181,x1182),f5(x1181,x1182)),f8(f5(x1181,x1181),f5(x1182,x1182)))
% 2.79/2.89 [117]~P3(x1171)+~P3(x1172)+~E(f4(x1172),f4(x1171))+E(f4(x1171),a3)+E(f10(f5(f2(x1172),f2(x1171)),f8(f9(x1172,f4(x1172)),f9(x1171,f4(x1171)))),f5(x1172,x1171))
% 2.79/2.89 [100]~P1(x1003)+~P3(x1001)+~E(x1002,f2(x1001))+E(f9(x1002,x1003),f9(x1001,x1003))+E(f4(x1001),a3)
% 2.79/2.89 [119]~P2(x1193)+~P2(x1192)+~P2(x1194)+~P2(x1191)+E(f10(f10(f8(x1191,x1192),f8(x1191,x1193)),f10(f8(x1194,x1192),f8(x1194,x1193))),f8(f10(x1191,x1194),f10(x1192,x1193)))
% 2.79/2.89 [111]~P2(x1112)+~P2(x1111)+E(x1111,x1112)+~E(f8(x1111,x1111),f8(x1112,x1112))+~P4(a12,x1112)+~P4(a12,x1111)
% 2.79/2.89 [105]~P3(x1051)+~P3(x1052)+E(x1051,f2(x1052))+E(f4(x1052),a3)+P1(f7(x1052,x1051))+~E(f15(f4(x1051)),f4(x1052))
% 2.79/2.89 [116]~P3(x1162)+~P3(x1161)+E(x1161,f2(x1162))+E(f4(x1162),a3)+~E(f15(f4(x1161)),f4(x1162))+~E(f9(x1161,f7(x1162,x1161)),f9(x1162,f7(x1162,x1161)))
% 2.79/2.89 [106]~P2(x1062)+~P2(x1061)+~P4(x1063,x1062)+~P4(x1061,x1063)+P4(x1061,x1062)+~P2(x1063)
% 2.79/2.89 [114]~P2(x1144)+~P2(x1142)+~P2(x1143)+~P2(x1141)+~P4(x1142,x1144)+~P4(x1141,x1143)+P4(f10(x1141,x1142),f10(x1143,x1144))
% 2.79/2.89 [115]~P2(x1154)+~P2(x1152)+~P2(x1153)+~P2(x1151)+~P4(x1152,x1154)+~P4(x1151,x1153)+~P4(a12,x1152)+P4(f8(x1151,x1152),f8(x1153,x1154))
% 2.79/2.89 %EqnAxiom
% 2.79/2.89 [1]E(x11,x11)
% 2.79/2.89 [2]E(x22,x21)+~E(x21,x22)
% 2.79/2.89 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.79/2.89 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 2.79/2.89 [5]~E(x51,x52)+E(f8(x51,x53),f8(x52,x53))
% 2.79/2.89 [6]~E(x61,x62)+E(f8(x63,x61),f8(x63,x62))
% 2.79/2.89 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 2.79/2.89 [8]~E(x81,x82)+E(f10(x81,x83),f10(x82,x83))
% 2.79/2.89 [9]~E(x91,x92)+E(f10(x93,x91),f10(x93,x92))
% 2.79/2.89 [10]~E(x101,x102)+E(f7(x101,x103),f7(x102,x103))
% 2.79/2.89 [11]~E(x111,x112)+E(f7(x113,x111),f7(x113,x112))
% 2.79/2.89 [12]~E(x121,x122)+E(f15(x121),f15(x122))
% 2.79/2.89 [13]~E(x131,x132)+E(f9(x131,x133),f9(x132,x133))
% 2.79/2.89 [14]~E(x141,x142)+E(f9(x143,x141),f9(x143,x142))
% 2.79/2.89 [15]~E(x151,x152)+E(f11(x151),f11(x152))
% 2.79/2.89 [16]~E(x161,x162)+E(f6(x161),f6(x162))
% 2.79/2.89 [17]~E(x171,x172)+E(f5(x171,x173),f5(x172,x173))
% 2.79/2.89 [18]~E(x181,x182)+E(f5(x183,x181),f5(x183,x182))
% 2.79/2.89 [19]~P1(x191)+P1(x192)+~E(x191,x192)
% 2.79/2.89 [20]~P2(x201)+P2(x202)+~E(x201,x202)
% 2.79/2.89 [21]P4(x212,x213)+~E(x211,x212)+~P4(x211,x213)
% 2.79/2.89 [22]P4(x223,x222)+~E(x221,x222)+~P4(x223,x221)
% 2.79/2.89 [23]~P3(x231)+P3(x232)+~E(x231,x232)
% 2.79/2.89 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243)
% 2.79/2.89 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251)
% 2.79/2.89
% 2.79/2.89 %-------------------------------------------
% 2.83/2.89 cnf(120,plain,
% 2.83/2.89 (E(a13,f2(a1))),
% 2.83/2.89 inference(scs_inference,[],[26,2])).
% 2.83/2.89 cnf(121,plain,
% 2.83/2.89 (P3(f2(a1))),
% 2.83/2.89 inference(scs_inference,[],[44,26,2,23])).
% 2.83/2.89 cnf(122,plain,
% 2.83/2.89 (E(f15(f4(a27)),f4(a1))),
% 2.83/2.89 inference(scs_inference,[],[44,26,46,48,2,23,3])).
% 2.83/2.89 cnf(123,plain,
% 2.83/2.89 (P4(a12,a12)),
% 2.83/2.89 inference(scs_inference,[],[29,44,26,46,48,2,23,3,89])).
% 2.83/2.89 cnf(125,plain,
% 2.83/2.89 (E(f9(a13,a3),f9(a1,a3))),
% 2.83/2.89 inference(scs_inference,[],[28,29,42,44,26,65,46,48,2,23,3,89,100])).
% 2.83/2.89 cnf(127,plain,
% 2.83/2.89 (E(f4(f2(a28)),f4(f2(a1)))),
% 2.83/2.89 inference(scs_inference,[],[28,29,42,43,44,26,65,46,48,2,23,3,89,100,98])).
% 2.83/2.89 cnf(129,plain,
% 2.83/2.89 (P4(f8(a12,a12),f8(a12,a12))),
% 2.83/2.89 inference(scs_inference,[],[28,29,42,43,44,26,65,46,48,2,23,3,89,100,98,115])).
% 2.83/2.89 cnf(130,plain,
% 2.83/2.89 (P4(a14,a14)),
% 2.83/2.89 inference(scs_inference,[],[28,29,30,42,43,44,26,65,46,48,2,23,3,89,100,98,115,80])).
% 2.83/2.89 cnf(136,plain,
% 2.83/2.89 (E(f10(a12,a12),a12)),
% 2.83/2.89 inference(scs_inference,[],[28,29,30,42,43,44,26,65,46,48,2,23,3,89,100,98,115,80,68,84,79])).
% 2.83/2.89 cnf(140,plain,
% 2.83/2.89 (E(f8(a12,a12),a12)),
% 2.83/2.89 inference(scs_inference,[],[28,29,30,42,43,44,26,65,46,48,2,23,3,89,100,98,115,80,68,84,79,78,76])).
% 2.83/2.89 cnf(148,plain,
% 2.83/2.89 (P1(f4(a1))),
% 2.83/2.89 inference(scs_inference,[],[28,29,30,42,43,44,26,65,46,48,2,23,3,89,100,98,115,80,68,84,79,78,76,75,73,72,71])).
% 2.83/2.89 cnf(150,plain,
% 2.83/2.89 (P1(f15(a3))),
% 2.83/2.89 inference(scs_inference,[],[28,29,30,42,43,44,26,65,46,48,2,23,3,89,100,98,115,80,68,84,79,78,76,75,73,72,71,70])).
% 2.83/2.89 cnf(152,plain,
% 2.83/2.89 (~E(f15(a3),a3)),
% 2.83/2.89 inference(scs_inference,[],[28,29,30,42,43,44,26,65,46,48,2,23,3,89,100,98,115,80,68,84,79,78,76,75,73,72,71,70,69])).
% 2.83/2.89 cnf(154,plain,
% 2.83/2.89 (E(f5(x1541,f2(a1)),f5(x1541,a13))),
% 2.83/2.89 inference(scs_inference,[],[28,29,30,42,43,44,26,65,46,48,2,23,3,89,100,98,115,80,68,84,79,78,76,75,73,72,71,70,69,18])).
% 2.83/2.89 cnf(155,plain,
% 2.83/2.89 (E(f5(f2(a1),x1551),f5(a13,x1551))),
% 2.83/2.89 inference(scs_inference,[],[28,29,30,42,43,44,26,65,46,48,2,23,3,89,100,98,115,80,68,84,79,78,76,75,73,72,71,70,69,18,17])).
% 2.83/2.89 cnf(159,plain,
% 2.83/2.89 (E(f9(f2(a1),x1591),f9(a13,x1591))),
% 2.83/2.89 inference(scs_inference,[],[28,29,30,42,43,44,26,65,46,48,2,23,3,89,100,98,115,80,68,84,79,78,76,75,73,72,71,70,69,18,17,16,15,14,13])).
% 2.83/2.89 cnf(165,plain,
% 2.83/2.89 (E(f4(f2(a1)),f4(a13))),
% 2.83/2.89 inference(scs_inference,[],[28,29,30,42,43,44,26,65,46,48,2,23,3,89,100,98,115,80,68,84,79,78,76,75,73,72,71,70,69,18,17,16,15,14,13,12,11,10,9,8,7])).
% 2.83/2.89 cnf(168,plain,
% 2.83/2.89 (E(f2(f2(a1)),f2(a13))),
% 2.83/2.89 inference(scs_inference,[],[28,29,30,42,43,44,26,65,46,48,2,23,3,89,100,98,115,80,68,84,79,78,76,75,73,72,71,70,69,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 2.83/2.89 cnf(235,plain,
% 2.83/2.89 (~P2(x2351)+~P2(x2352)+E(f10(x2352,x2351),f10(x2351,x2352))),
% 2.83/2.89 inference(scs_inference,[],[31,96])).
% 2.83/2.89 cnf(236,plain,
% 2.83/2.89 (~P2(x2361)+~P2(x2362)+E(f8(x2362,x2361),f8(x2361,x2362))),
% 2.83/2.89 inference(scs_inference,[],[31,97])).
% 2.83/2.89 cnf(237,plain,
% 2.83/2.89 (E(f15(f6(f4(a1))),f4(a1))),
% 2.83/2.89 inference(scs_inference,[],[65,148,77])).
% 2.83/2.89 cnf(239,plain,
% 2.83/2.89 (P1(f6(f4(a1)))),
% 2.83/2.89 inference(scs_inference,[],[65,148,77,74])).
% 2.83/2.89 cnf(263,plain,
% 2.83/2.89 (E(f8(f11(a16),f11(a16)),f8(a16,a16))),
% 2.83/2.89 inference(scs_inference,[],[31,45,43,46,28,65,42,148,77,74,110,109,113,112,119,117,92,91,90,104,103,99])).
% 2.83/2.89 cnf(265,plain,
% 2.83/2.89 (~E(a3,f4(a1))),
% 2.83/2.89 inference(scs_inference,[],[31,45,43,46,28,65,42,148,77,74,110,109,113,112,119,117,92,91,90,104,103,99,2])).
% 2.83/2.89 cnf(266,plain,
% 2.83/2.89 (~E(a16,x2661)+P2(x2661)),
% 2.83/2.89 inference(scs_inference,[],[31,45,43,46,28,65,42,148,77,74,110,109,113,112,119,117,92,91,90,104,103,99,2,20])).
% 2.83/2.89 cnf(267,plain,
% 2.83/2.89 (E(f8(a16,x2671),f8(x2671,a16))+~E(a16,x2671)),
% 2.83/2.89 inference(scs_inference,[],[31,45,43,46,28,65,42,148,77,74,110,109,113,112,119,117,92,91,90,104,103,99,2,20,236])).
% 2.83/2.89 cnf(269,plain,
% 2.83/2.89 (E(f10(a16,x2691),f10(x2691,a16))+~E(a16,x2691)),
% 2.83/2.89 inference(scs_inference,[],[31,45,43,46,28,65,42,148,77,74,110,109,113,112,119,117,92,91,90,104,103,99,2,20,236,235])).
% 2.83/2.89 cnf(271,plain,
% 2.83/2.89 (~E(a16,x2711)+P4(a12,f10(a12,a12))),
% 2.83/2.89 inference(scs_inference,[],[31,45,43,46,28,65,42,29,123,148,77,74,110,109,113,112,119,117,92,91,90,104,103,99,2,20,236,235,107])).
% 2.83/2.89 cnf(290,plain,
% 2.83/2.89 (P4(a12,f10(a12,a12))),
% 2.83/2.89 inference(equality_inference,[],[271])).
% 2.83/2.89 cnf(302,plain,
% 2.83/2.89 (~E(a3,f15(f4(a13)))),
% 2.83/2.89 inference(scs_inference,[],[32,47,265,109,112,110,113,119,3])).
% 2.83/2.89 cnf(303,plain,
% 2.83/2.89 (E(a27,f2(a28))),
% 2.83/2.89 inference(scs_inference,[],[32,27,47,265,109,112,110,113,119,3,2])).
% 2.83/2.89 cnf(307,plain,
% 2.83/2.89 (~P2(f10(a12,a12))+~P4(a12,a17)+P4(a12,f8(f10(a12,a12),a17))),
% 2.83/2.89 inference(scs_inference,[],[32,27,47,28,290,265,109,112,110,113,119,3,2,19,111,108])).
% 2.83/2.89 cnf(314,plain,
% 2.83/2.89 (P3(f2(a28))),
% 2.83/2.89 inference(scs_inference,[],[45,303,23])).
% 2.83/2.89 cnf(319,plain,
% 2.83/2.89 (~E(f15(f4(a13)),a3)),
% 2.83/2.89 inference(scs_inference,[],[33,51,45,155,302,303,23,119,3,2])).
% 2.83/2.89 cnf(337,plain,
% 2.83/2.89 (P2(f5(f2(a1),a13))),
% 2.83/2.89 inference(scs_inference,[],[121,44,165,101])).
% 2.83/2.89 cnf(339,plain,
% 2.83/2.89 (E(f4(f2(a28)),f4(a13))),
% 2.83/2.89 inference(scs_inference,[],[121,44,127,165,101,3])).
% 2.83/2.89 cnf(340,plain,
% 2.83/2.89 (E(a18,f5(a27,a27))),
% 2.83/2.89 inference(scs_inference,[],[50,121,44,127,165,101,3,2])).
% 2.83/2.89 cnf(343,plain,
% 2.83/2.89 (P5(f6(f4(a1)),f15(f6(f4(a1))))),
% 2.83/2.89 inference(scs_inference,[],[50,121,44,127,239,165,168,101,3,2,81,84])).
% 2.83/2.89 cnf(349,plain,
% 2.83/2.89 (P1(f4(f2(a1)))),
% 2.83/2.89 inference(scs_inference,[],[34,50,121,44,127,239,165,168,101,3,2,81,84,79,76,71])).
% 2.83/2.89 cnf(351,plain,
% 2.83/2.89 (P1(f15(f6(f4(a1))))),
% 2.83/2.89 inference(scs_inference,[],[34,50,121,44,127,239,165,168,101,3,2,81,84,79,76,71,70])).
% 2.83/2.89 cnf(359,plain,
% 2.83/2.89 (P4(a20,a20)),
% 2.83/2.89 inference(scs_inference,[],[35,80])).
% 2.83/2.89 cnf(375,plain,
% 2.83/2.89 (P4(a12,f5(f2(a1),f2(a1)))),
% 2.83/2.89 inference(scs_inference,[],[27,35,121,351,349,80,78,86,73,69,15,13,11,9,8,5,94])).
% 2.83/2.89 cnf(385,plain,
% 2.83/2.89 (P1(f4(a13))),
% 2.83/2.89 inference(scs_inference,[],[27,35,121,351,349,165,80,78,86,73,69,15,13,11,9,8,5,94,93,87,83,82,19])).
% 2.83/2.89 cnf(388,plain,
% 2.83/2.89 (P4(a12,f5(f2(a1),a13))),
% 2.83/2.89 inference(scs_inference,[],[27,35,121,351,349,154,165,80,78,86,73,69,15,13,11,9,8,5,94,93,87,83,82,19,114,22])).
% 2.83/2.89 cnf(390,plain,
% 2.83/2.89 (~E(a3,f15(a3))),
% 2.83/2.89 inference(scs_inference,[],[27,35,121,351,349,152,154,165,80,78,86,73,69,15,13,11,9,8,5,94,93,87,83,82,19,114,22,2])).
% 2.83/2.89 cnf(404,plain,
% 2.83/2.89 (~P4(a21,a21)+E(f5(f2(a28),x4041),f5(a27,x4041))),
% 2.83/2.89 inference(scs_inference,[],[27,35,36,121,44,351,349,339,314,152,154,165,80,78,86,73,69,15,13,11,9,8,5,94,93,87,83,82,19,114,22,2,75,72,108,105,98,106,18,17])).
% 2.83/2.89 cnf(405,plain,
% 2.83/2.89 (~P4(a21,a21)+E(f6(f2(a28)),f6(a27))),
% 2.83/2.89 inference(scs_inference,[],[27,35,36,121,44,351,349,339,314,152,154,165,80,78,86,73,69,15,13,11,9,8,5,94,93,87,83,82,19,114,22,2,75,72,108,105,98,106,18,17,16])).
% 2.83/2.89 cnf(406,plain,
% 2.83/2.89 (~P4(a21,a21)+E(f9(x4061,f2(a28)),f9(x4061,a27))),
% 2.83/2.89 inference(scs_inference,[],[27,35,36,121,44,351,349,339,314,152,154,165,80,78,86,73,69,15,13,11,9,8,5,94,93,87,83,82,19,114,22,2,75,72,108,105,98,106,18,17,16,14])).
% 2.83/2.89 cnf(407,plain,
% 2.83/2.89 (~P4(a21,a21)+E(f15(f2(a28)),f15(a27))),
% 2.83/2.89 inference(scs_inference,[],[27,35,36,121,44,351,349,339,314,152,154,165,80,78,86,73,69,15,13,11,9,8,5,94,93,87,83,82,19,114,22,2,75,72,108,105,98,106,18,17,16,14,12])).
% 2.83/2.89 cnf(408,plain,
% 2.83/2.89 (~P4(a21,a21)+E(f7(f2(a28),x4081),f7(a27,x4081))),
% 2.83/2.89 inference(scs_inference,[],[27,35,36,121,44,351,349,339,314,152,154,165,80,78,86,73,69,15,13,11,9,8,5,94,93,87,83,82,19,114,22,2,75,72,108,105,98,106,18,17,16,14,12,10])).
% 2.83/2.89 cnf(409,plain,
% 2.83/2.89 (~P4(a21,a21)+E(f4(f2(a28)),f4(a27))),
% 2.83/2.89 inference(scs_inference,[],[27,35,36,121,44,351,349,339,314,152,154,165,80,78,86,73,69,15,13,11,9,8,5,94,93,87,83,82,19,114,22,2,75,72,108,105,98,106,18,17,16,14,12,10,7])).
% 2.83/2.89 cnf(410,plain,
% 2.83/2.89 (~P4(a21,a21)+E(f8(x4101,f2(a28)),f8(x4101,a27))),
% 2.83/2.89 inference(scs_inference,[],[27,35,36,121,44,351,349,339,314,152,154,165,80,78,86,73,69,15,13,11,9,8,5,94,93,87,83,82,19,114,22,2,75,72,108,105,98,106,18,17,16,14,12,10,7,6])).
% 2.83/2.89 cnf(411,plain,
% 2.83/2.89 (~P4(a21,a21)+E(f2(f2(a28)),f2(a27))),
% 2.83/2.89 inference(scs_inference,[],[27,35,36,121,44,351,349,339,314,152,154,165,80,78,86,73,69,15,13,11,9,8,5,94,93,87,83,82,19,114,22,2,75,72,108,105,98,106,18,17,16,14,12,10,7,6,4])).
% 2.83/2.89 cnf(421,plain,
% 2.83/2.89 (~E(a3,f15(f4(a27)))),
% 2.83/2.89 inference(scs_inference,[],[122,337,388,265,107,3])).
% 2.83/2.89 cnf(423,plain,
% 2.83/2.89 (P2(f9(f2(a1),a3))),
% 2.83/2.89 inference(scs_inference,[],[28,52,122,121,337,388,265,107,3,2,92])).
% 2.83/2.89 cnf(431,plain,
% 2.83/2.89 (P1(f6(f15(a3)))),
% 2.83/2.89 inference(scs_inference,[],[28,37,52,122,121,337,150,388,319,152,265,107,3,2,92,91,90,77,74])).
% 2.83/2.89 cnf(440,plain,
% 2.83/2.89 (P4(a20,f8(a14,a14))),
% 2.83/2.89 inference(scs_inference,[],[28,37,52,120,122,121,42,65,359,337,150,388,319,152,265,107,3,2,92,91,90,77,74,104,103,21,100,22])).
% 2.83/2.89 cnf(442,plain,
% 2.83/2.89 (E(f15(f6(f15(f4(a13)))),f15(f4(a13)))+E(f4(a28),a3)+E(f10(f5(f2(a28),f2(a28)),f8(f9(a28,f4(a28)),f9(a28,f4(a28)))),f5(a28,a28))),
% 2.83/2.89 inference(scs_inference,[],[28,37,52,120,122,121,43,42,65,359,337,150,385,388,319,152,265,107,3,2,92,91,90,77,74,104,103,21,100,22,70,117])).
% 2.83/2.89 cnf(455,plain,
% 2.83/2.89 (P1(f15(f6(f15(a3))))),
% 2.83/2.89 inference(scs_inference,[],[431,70])).
% 2.83/2.89 cnf(468,plain,
% 2.83/2.89 (E(f15(f6(f15(a3))),f15(a3))),
% 2.83/2.89 inference(scs_inference,[],[28,38,43,237,431,343,152,150,70,25,90,103,92,91,104,77])).
% 2.83/2.89 cnf(491,plain,
% 2.83/2.89 (E(f6(f15(a3)),a3)),
% 2.83/2.89 inference(scs_inference,[],[468,431,28,85])).
% 2.83/2.89 cnf(501,plain,
% 2.83/2.89 (P4(f10(a12,a12),f10(a12,a12))),
% 2.83/2.89 inference(scs_inference,[],[29,123,468,388,431,337,28,85,108,110,109,112,114])).
% 2.83/2.89 cnf(505,plain,
% 2.83/2.89 (P2(f5(a27,a27))),
% 2.83/2.89 inference(scs_inference,[],[29,33,123,468,340,388,431,337,28,85,108,110,109,112,114,113,20])).
% 2.83/2.89 cnf(507,plain,
% 2.83/2.89 (E(a22,f8(a14,a16))),
% 2.83/2.89 inference(scs_inference,[],[29,54,53,33,123,263,468,340,388,431,337,28,85,108,110,109,112,114,113,20,3,2])).
% 2.83/2.89 cnf(510,plain,
% 2.83/2.89 (P1(f4(a27))),
% 2.83/2.89 inference(scs_inference,[],[29,39,54,53,33,123,45,263,468,340,388,431,337,28,85,108,110,109,112,114,113,20,3,2,79,71])).
% 2.83/2.89 cnf(512,plain,
% 2.83/2.89 (P5(f15(f6(f15(a3))),f15(f15(f6(f15(a3)))))),
% 2.83/2.89 inference(scs_inference,[],[29,39,54,53,33,123,45,455,263,468,340,388,431,337,28,85,108,110,109,112,114,113,20,3,2,79,71,84])).
% 2.83/2.89 cnf(523,plain,
% 2.83/2.89 (P4(a24,a24)),
% 2.83/2.89 inference(scs_inference,[],[29,39,54,53,33,123,122,46,45,43,42,31,65,455,263,468,340,388,431,337,28,85,108,110,109,112,114,113,20,3,2,79,71,84,76,24,111,101,105,89])).
% 2.83/2.89 cnf(541,plain,
% 2.83/2.90 (~E(f4(a1),f6(f15(a3)))),
% 2.83/2.90 inference(scs_inference,[],[29,40,65,491,148,265,28,85,110,109,112,119,113,3])).
% 2.83/2.90 cnf(542,plain,
% 2.83/2.90 (~E(f15(f4(a27)),a3)),
% 2.83/2.90 inference(scs_inference,[],[29,40,65,491,421,148,265,28,85,110,109,112,119,113,3,2])).
% 2.83/2.90 cnf(543,plain,
% 2.83/2.90 (P4(a26,a26)),
% 2.83/2.90 inference(scs_inference,[],[29,40,65,491,421,148,265,28,85,110,109,112,119,113,3,2,80])).
% 2.83/2.90 cnf(561,plain,
% 2.83/2.90 (P4(a12,f5(a13,a13))),
% 2.83/2.90 inference(scs_inference,[],[29,55,40,44,65,491,510,421,148,265,28,85,110,109,112,119,113,3,2,80,78,93,83,75,72,86,73,15,8,94])).
% 2.83/2.90 cnf(572,plain,
% 2.83/2.90 (~P4(f10(f8(a17,a21),a26),f10(a24,a24))),
% 2.83/2.90 inference(scs_inference,[],[29,55,40,39,123,44,65,512,491,510,523,421,455,148,265,66,28,85,110,109,112,119,113,3,2,80,78,93,83,75,72,86,73,15,8,94,82,69,87,25,114,21])).
% 2.83/2.90 cnf(579,plain,
% 2.83/2.90 (P1(f15(f4(a27)))),
% 2.83/2.90 inference(scs_inference,[],[29,55,40,67,39,123,121,44,65,512,491,510,523,421,455,148,265,66,28,85,110,109,112,119,113,3,2,80,78,93,83,75,72,86,73,15,8,94,82,69,87,25,114,21,22,81,102,19,70])).
% 2.83/2.90 cnf(581,plain,
% 2.83/2.90 (P2(f5(f2(a1),f2(a1)))),
% 2.83/2.90 inference(scs_inference,[],[29,55,40,67,39,123,121,44,65,512,491,510,523,421,455,148,265,66,28,85,110,109,112,119,113,3,2,80,78,93,83,75,72,86,73,15,8,94,82,69,87,25,114,21,22,81,102,19,70,101])).
% 2.83/2.90 cnf(583,plain,
% 2.83/2.90 (P4(a18,a18)),
% 2.83/2.90 inference(scs_inference,[],[29,55,40,33,67,39,123,121,44,65,512,491,510,523,421,455,148,265,66,28,85,110,109,112,119,113,3,2,80,78,93,83,75,72,86,73,15,8,94,82,69,87,25,114,21,22,81,102,19,70,101,89])).
% 2.83/2.90 cnf(594,plain,
% 2.83/2.90 (E(f5(x5941,f9(a13,a3)),f5(x5941,f9(a1,a3)))),
% 2.83/2.90 inference(scs_inference,[],[125,65,148,28,85,18])).
% 2.83/2.90 cnf(595,plain,
% 2.83/2.90 (E(f9(x5951,f9(a13,a3)),f9(x5951,f9(a1,a3)))),
% 2.83/2.90 inference(scs_inference,[],[125,65,148,28,85,18,14])).
% 2.83/2.90 cnf(596,plain,
% 2.83/2.90 (E(f9(f9(a13,a3),x5961),f9(f9(a1,a3),x5961))),
% 2.83/2.90 inference(scs_inference,[],[125,65,148,28,85,18,14,13])).
% 2.83/2.90 cnf(605,plain,
% 2.83/2.90 (P2(f5(f2(a28),f2(a1)))),
% 2.83/2.90 inference(scs_inference,[],[125,121,65,581,375,127,314,148,28,85,18,14,13,11,10,9,7,5,107,12,101])).
% 2.83/2.90 cnf(614,plain,
% 2.83/2.90 (P4(f5(a27,a27),a18)),
% 2.83/2.90 inference(scs_inference,[],[30,125,33,37,121,65,581,375,583,507,127,314,340,148,28,85,18,14,13,11,10,9,7,5,107,12,101,110,114,119,20,21])).
% 2.83/2.90 cnf(615,plain,
% 2.83/2.90 (P4(a12,a17)),
% 2.83/2.90 inference(scs_inference,[],[30,125,49,33,37,121,65,581,375,583,561,507,127,314,340,148,28,85,18,14,13,11,10,9,7,5,107,12,101,110,114,119,20,21,22])).
% 2.83/2.90 cnf(616,plain,
% 2.83/2.90 (E(f9(f2(a1),a3),f9(a1,a3))),
% 2.83/2.90 inference(scs_inference,[],[30,125,49,33,37,121,65,581,375,583,561,507,127,159,314,340,148,28,85,18,14,13,11,10,9,7,5,107,12,101,110,114,119,20,21,22,3])).
% 2.83/2.90 cnf(620,plain,
% 2.83/2.90 (E(f5(f9(a13,a3),x6201),f5(f9(a1,a3),x6201))),
% 2.83/2.90 inference(scs_inference,[],[30,125,49,33,37,121,65,581,375,583,561,507,127,159,314,340,148,28,85,18,14,13,11,10,9,7,5,107,12,101,110,114,119,20,21,22,3,2,307,17])).
% 2.83/2.90 cnf(623,plain,
% 2.83/2.90 (E(f2(f9(a13,a3)),f2(f9(a1,a3)))),
% 2.83/2.90 inference(scs_inference,[],[30,125,49,33,37,121,65,581,375,583,561,507,127,159,314,340,148,28,85,18,14,13,11,10,9,7,5,107,12,101,110,114,119,20,21,22,3,2,307,17,16,6,4])).
% 2.83/2.90 cnf(638,plain,
% 2.83/2.90 (~P2(x6381)+P4(a12,f10(x6382,x6381))+~P4(a12,x6382)+~P2(x6382)+~P4(a12,x6381)),
% 2.83/2.90 inference(rename_variables,[],[107])).
% 2.83/2.90 cnf(645,plain,
% 2.83/2.90 (~E(f4(a28),a3)),
% 2.83/2.90 inference(scs_inference,[],[30,48,36,123,32,501,542,615,136,512,468,29,107,24,90,119,22,3])).
% 2.83/2.90 cnf(646,plain,
% 2.83/2.90 (~E(f6(f15(a3)),f4(a1))),
% 2.83/2.90 inference(scs_inference,[],[30,48,36,123,32,501,542,541,615,136,512,468,29,107,24,90,119,22,3,2])).
% 2.83/2.90 cnf(650,plain,
% 2.83/2.90 (P2(f8(a14,a14))),
% 2.83/2.90 inference(scs_inference,[],[30,48,36,123,32,45,42,65,501,542,541,615,136,512,468,29,107,24,90,119,22,3,2,442,117,91])).
% 2.83/2.90 cnf(656,plain,
% 2.83/2.90 (P1(f6(f15(f4(a27))))),
% 2.83/2.90 inference(scs_inference,[],[30,48,36,123,32,45,42,65,501,542,541,615,136,512,579,468,29,107,24,90,119,22,3,2,442,117,91,103,638,74])).
% 2.83/2.90 cnf(676,plain,
% 2.83/2.90 (E(f15(f6(f15(f4(a27)))),f15(f4(a27)))),
% 2.83/2.90 inference(scs_inference,[],[41,44,656,579,542,92,91,104,77])).
% 2.83/2.90 cnf(684,plain,
% 2.83/2.90 (P4(a16,a16)),
% 2.83/2.90 inference(scs_inference,[],[31,41,44,656,579,542,92,91,104,77,103,99,90,89])).
% 2.83/2.90 cnf(688,plain,
% 2.83/2.90 (P4(f10(a16,a12),f10(a16,a12))),
% 2.83/2.90 inference(scs_inference,[],[31,41,123,44,656,579,542,29,92,91,104,77,103,99,90,89,119,114])).
% 2.83/2.90 cnf(692,plain,
% 2.83/2.90 (~E(f6(f15(a3)),f15(f4(a13)))),
% 2.83/2.90 inference(scs_inference,[],[31,47,41,123,44,605,656,646,154,579,542,29,92,91,104,77,103,99,90,89,119,114,20,3])).
% 2.83/2.90 cnf(693,plain,
% 2.83/2.90 (E(a26,f8(a20,a18))),
% 2.83/2.90 inference(scs_inference,[],[31,57,47,41,123,44,605,656,646,154,579,542,29,92,91,104,77,103,99,90,89,119,114,20,3,2])).
% 2.83/2.90 cnf(696,plain,
% 2.83/2.90 (P5(f6(f15(f4(a27))),f15(f6(f15(f4(a27)))))),
% 2.83/2.90 inference(scs_inference,[],[31,57,47,41,123,44,121,605,656,646,154,579,542,165,29,92,91,104,77,103,99,90,89,119,114,20,3,2,95,84])).
% 2.83/2.90 cnf(700,plain,
% 2.83/2.90 (P1(f4(a28))),
% 2.83/2.90 inference(scs_inference,[],[31,57,47,41,123,44,121,43,605,656,646,154,579,542,165,29,92,91,104,77,103,99,90,89,119,114,20,3,2,95,84,79,71])).
% 2.83/2.90 cnf(704,plain,
% 2.83/2.90 (E(f6(f15(f4(a27))),f4(a27))),
% 2.83/2.90 inference(scs_inference,[],[31,57,47,41,123,44,121,43,605,656,646,154,579,542,165,510,29,92,91,104,77,103,99,90,89,119,114,20,3,2,95,84,79,71,76,85])).
% 2.83/2.90 cnf(706,plain,
% 2.83/2.90 (P5(f6(f15(f4(a27))),f15(f4(a27)))),
% 2.83/2.90 inference(scs_inference,[],[31,57,47,41,123,44,121,43,605,656,646,154,579,542,165,510,29,92,91,104,77,103,99,90,89,119,114,20,3,2,95,84,79,71,76,85,25])).
% 2.83/2.90 cnf(720,plain,
% 2.83/2.90 (P4(a12,f10(a17,a17))),
% 2.83/2.90 inference(scs_inference,[],[120,32,42,65,700,615,100,107])).
% 2.83/2.90 cnf(741,plain,
% 2.83/2.90 (E(f10(a16,a12),a16)),
% 2.83/2.90 inference(scs_inference,[],[31,127,49,120,36,32,45,121,42,65,543,616,423,692,684,700,693,645,615,155,314,100,107,92,104,99,108,77,114,20,22,3,2,118,78])).
% 2.83/2.90 cnf(743,plain,
% 2.83/2.90 (P4(a21,a21)),
% 2.83/2.90 inference(scs_inference,[],[31,127,49,120,36,32,45,121,42,65,543,616,423,692,684,700,693,645,615,155,314,100,107,92,104,99,108,77,114,20,22,3,2,118,78,80])).
% 2.83/2.90 cnf(751,plain,
% 2.83/2.90 (P4(a12,f8(a16,a16))),
% 2.83/2.90 inference(scs_inference,[],[31,127,49,120,36,32,45,121,42,65,543,616,423,692,684,700,693,645,615,155,385,314,100,107,92,104,99,108,77,114,20,22,3,2,118,78,80,75,86,94,93])).
% 2.83/2.90 cnf(761,plain,
% 2.83/2.90 (~E(f15(f4(a28)),a3)),
% 2.83/2.90 inference(scs_inference,[],[31,127,49,120,36,32,45,121,42,65,543,616,423,692,684,700,693,645,615,155,385,314,100,107,92,104,99,108,77,114,20,22,3,2,118,78,80,75,86,94,93,87,83,82,72,69])).
% 2.83/2.90 cnf(766,plain,
% 2.83/2.90 (P1(f15(f4(a28)))),
% 2.83/2.90 inference(scs_inference,[],[31,58,127,49,120,36,32,45,121,42,65,543,616,423,692,684,700,693,645,615,155,385,314,100,107,92,104,99,108,77,114,20,22,3,2,118,78,80,75,86,94,93,87,83,82,72,69,15,73,70])).
% 2.83/2.90 cnf(769,plain,
% 2.83/2.90 (P4(a12,a18)),
% 2.83/2.90 inference(scs_inference,[],[31,58,127,49,120,36,33,32,45,121,42,65,543,616,614,423,505,692,684,700,693,645,615,155,385,314,29,100,107,92,104,99,108,77,114,20,22,3,2,118,78,80,75,86,94,93,87,83,82,72,69,15,73,70,8,106])).
% 2.83/2.90 cnf(772,plain,
% 2.83/2.90 (E(f2(f2(a28)),f2(a27))),
% 2.83/2.90 inference(scs_inference,[],[31,58,127,49,120,36,33,32,45,121,42,65,543,616,614,423,505,692,684,700,693,645,615,155,385,314,29,100,107,92,104,99,108,77,114,20,22,3,2,118,78,80,75,86,94,93,87,83,82,72,69,15,73,70,8,106,21,411])).
% 2.83/2.90 cnf(774,plain,
% 2.83/2.90 (E(f4(f2(a28)),f4(a27))),
% 2.83/2.90 inference(scs_inference,[],[31,58,127,49,120,36,33,32,45,121,42,65,543,616,614,423,505,692,684,700,693,645,615,155,385,314,29,100,107,92,104,99,108,77,114,20,22,3,2,118,78,80,75,86,94,93,87,83,82,72,69,15,73,70,8,106,21,411,410,409])).
% 2.83/2.90 cnf(779,plain,
% 2.83/2.90 (E(f5(f2(a28),x7791),f5(a27,x7791))),
% 2.83/2.90 inference(scs_inference,[],[31,58,127,49,120,36,33,32,45,121,42,65,543,616,614,423,505,692,684,700,693,645,615,155,385,314,29,100,107,92,104,99,108,77,114,20,22,3,2,118,78,80,75,86,94,93,87,83,82,72,69,15,73,70,8,106,21,411,410,409,408,407,406,405,404])).
% 2.83/2.90 cnf(803,plain,
% 2.83/2.90 (~E(f10(a24,a24),f10(a23,a26))),
% 2.83/2.90 inference(scs_inference,[],[34,39,67,43,572,766,523,303,645,100,109,113,112,114,21,22])).
% 2.83/2.90 cnf(807,plain,
% 2.83/2.90 (E(a16,f9(a28,f4(a28)))),
% 2.83/2.90 inference(scs_inference,[],[60,34,39,67,43,594,620,572,766,523,303,645,100,109,113,112,114,21,22,3,2])).
% 2.83/2.90 cnf(808,plain,
% 2.83/2.90 (~E(f15(f15(f4(a28))),f15(a3))),
% 2.83/2.90 inference(scs_inference,[],[60,34,39,67,43,594,620,572,766,761,523,303,645,28,100,109,113,112,114,21,22,3,2,85])).
% 2.83/2.90 cnf(816,plain,
% 2.83/2.90 (P5(f4(a27),f15(f6(f15(f4(a27)))))),
% 2.83/2.90 inference(scs_inference,[],[32,60,34,33,39,67,123,43,594,620,572,696,766,704,761,769,523,303,645,583,615,28,29,100,109,113,112,114,21,22,3,2,85,115,111,107,24])).
% 2.83/2.90 cnf(819,plain,
% 2.83/2.90 (P5(f6(f15(f4(a27))),f4(a28))),
% 2.83/2.90 inference(scs_inference,[],[32,60,48,34,33,39,67,123,43,45,594,620,572,696,706,766,704,774,761,769,523,303,645,583,615,314,28,29,100,109,113,112,114,21,22,3,2,85,115,111,107,24,101,25])).
% 2.83/2.90 cnf(838,plain,
% 2.83/2.90 (P2(f10(a17,a17))),
% 2.83/2.90 inference(scs_inference,[],[32,60,48,34,33,39,67,123,43,44,45,42,65,594,620,623,572,696,706,766,704,774,761,769,523,303,645,583,615,314,28,29,100,109,113,112,114,21,22,3,2,85,115,111,107,24,101,25,269,267,266,98,88,117,18,10,105,108,23,90])).
% 2.83/2.90 cnf(871,plain,
% 2.83/2.90 (~E(f15(f15(f4(a28))),f15(f6(f15(a3))))),
% 2.83/2.90 inference(scs_inference,[],[51,129,36,123,743,808,807,390,140,684,468,150,28,29,85,17,14,13,11,9,7,5,115,12,16,6,4,110,109,113,112,90,114,21,22,3])).
% 2.83/2.90 cnf(884,plain,
% 2.83/2.90 (~E(f15(f4(a28)),f6(f15(a3)))),
% 2.83/2.90 inference(scs_inference,[],[871,12])).
% 2.83/2.90 cnf(896,plain,
% 2.83/2.90 (P4(a12,a21)),
% 2.83/2.90 inference(scs_inference,[],[33,53,130,871,688,751,741,583,30,12,110,109,112,113,114,21,22])).
% 2.83/2.90 cnf(915,plain,
% 2.83/2.90 (P2(f8(a18,a18))),
% 2.83/2.90 inference(scs_inference,[],[33,91])).
% 2.83/2.90 cnf(933,plain,
% 2.83/2.90 (P4(a19,a19)),
% 2.83/2.90 inference(scs_inference,[],[33,57,39,34,35,123,595,596,803,819,720,838,650,704,614,440,505,359,29,91,103,115,24,108,110,12,114,3,2,80])).
% 2.83/2.90 cnf(941,plain,
% 2.83/2.90 (P4(a12,f8(a18,a18))),
% 2.83/2.90 inference(scs_inference,[],[33,57,39,34,35,123,595,596,803,819,720,838,650,704,614,440,505,359,239,29,91,103,115,24,108,110,12,114,3,2,80,78,86,79,93])).
% 2.83/2.90 cnf(1058,plain,
% 2.83/2.90 (~P2(f10(a23,a26))),
% 2.83/2.90 inference(scs_inference,[],[34,59,50,130,67,37,39,36,45,123,884,676,779,816,772,933,743,896,66,30,29,115,25,119,90,114,3,2,81,17,9,14,13,11,7,5,4,16,6,108,89])).
% 2.83/2.90 cnf(1081,plain,
% 2.83/2.90 ($false),
% 2.83/2.90 inference(scs_inference,[],[35,41,38,40,1058,941,915,107,89,119,90]),
% 2.83/2.90 ['proof']).
% 2.83/2.90 % SZS output end Proof
% 2.83/2.90 % Total time :2.210000s
%------------------------------------------------------------------------------