TSTP Solution File: RNG070+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG070+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n019.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 2.00s 2.06s
% Output : CNFRefutation 2.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG070+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 02:10:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 2.00/2.04 %-------------------------------------------
% 2.00/2.04 % File :CSE---1.6
% 2.00/2.04 % Problem :theBenchmark
% 2.00/2.04 % Transform :cnf
% 2.00/2.04 % Format :tptp:raw
% 2.00/2.04 % Command :java -jar mcs_scs.jar %d %s
% 2.00/2.04
% 2.00/2.04 % Result :Theorem 1.420000s
% 2.00/2.04 % Output :CNFRefutation 1.420000s
% 2.00/2.04 %-------------------------------------------
% 2.00/2.05 %------------------------------------------------------------------------------
% 2.00/2.05 % File : RNG070+1 : TPTP v8.1.2. Released v4.0.0.
% 2.00/2.05 % Domain : Ring Theory
% 2.00/2.05 % Problem : Cauchy-Bouniakowsky-Schwarz inequality 05_16_04, 00 expansion
% 2.00/2.05 % Version : Especial.
% 2.00/2.05 % English :
% 2.00/2.05
% 2.00/2.05 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 2.00/2.05 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 2.00/2.05 % Source : [Pas08]
% 2.00/2.05 % Names : cauchy_05_16_04.00 [Pas08]
% 2.00/2.05
% 2.00/2.05 % Status : ContradictoryAxioms
% 2.00/2.05 % Rating : 0.25 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, 0.28 v6.1.0, 0.33 v6.0.0, 0.30 v5.5.0, 0.37 v5.4.0, 0.43 v5.3.0, 0.48 v5.2.0, 0.40 v5.1.0, 0.48 v5.0.0, 0.54 v4.1.0, 0.61 v4.0.1, 0.78 v4.0.0
% 2.00/2.05 % Syntax : Number of formulae : 61 ( 10 unt; 1 def)
% 2.00/2.05 % Number of atoms : 192 ( 57 equ)
% 2.00/2.05 % Maximal formula atoms : 9 ( 3 avg)
% 2.00/2.05 % Number of connectives : 138 ( 7 ~; 1 |; 76 &)
% 2.00/2.05 % ( 1 <=>; 53 =>; 0 <=; 0 <~>)
% 2.00/2.05 % Maximal formula depth : 10 ( 4 avg)
% 2.00/2.05 % Maximal term depth : 5 ( 1 avg)
% 2.00/2.05 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 2.00/2.05 % Number of functors : 26 ( 26 usr; 18 con; 0-2 aty)
% 2.00/2.05 % Number of variables : 71 ( 70 !; 1 ?)
% 2.00/2.05 % SPC : FOF_CAX_RFO_SEQ
% 2.00/2.05
% 2.00/2.05 % Comments : Problem generated by the SAD system [VLP07]
% 2.00/2.05 %------------------------------------------------------------------------------
% 2.00/2.05 fof(mNatSort,axiom,
% 2.00/2.05 ! [W0] :
% 2.00/2.05 ( aNaturalNumber0(W0)
% 2.00/2.05 => $true ) ).
% 2.00/2.05
% 2.00/2.05 fof(mZeroNat,axiom,
% 2.00/2.05 aNaturalNumber0(sz00) ).
% 2.00/2.05
% 2.00/2.05 fof(mSuccNat,axiom,
% 2.00/2.05 ! [W0] :
% 2.00/2.05 ( aNaturalNumber0(W0)
% 2.00/2.05 => ( aNaturalNumber0(szszuzczcdt0(W0))
% 2.00/2.05 & szszuzczcdt0(W0) != sz00 ) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mNatExtr,axiom,
% 2.00/2.05 ! [W0] :
% 2.00/2.05 ( ( aNaturalNumber0(W0)
% 2.00/2.05 & W0 != sz00 )
% 2.00/2.05 => ? [W1] :
% 2.00/2.05 ( aNaturalNumber0(W1)
% 2.00/2.05 & W0 = szszuzczcdt0(W1) ) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mSuccEqu,axiom,
% 2.00/2.05 ! [W0,W1] :
% 2.00/2.05 ( ( aNaturalNumber0(W0)
% 2.00/2.05 & aNaturalNumber0(W1) )
% 2.00/2.05 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 2.00/2.05 => W0 = W1 ) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mIHOrd,axiom,
% 2.00/2.05 ! [W0,W1] :
% 2.00/2.05 ( ( aNaturalNumber0(W0)
% 2.00/2.05 & aNaturalNumber0(W1) )
% 2.00/2.05 => ( iLess0(W0,W1)
% 2.00/2.05 => $true ) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mIH,axiom,
% 2.00/2.05 ! [W0] :
% 2.00/2.05 ( aNaturalNumber0(W0)
% 2.00/2.05 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mScSort,axiom,
% 2.00/2.05 ! [W0] :
% 2.00/2.05 ( aScalar0(W0)
% 2.00/2.05 => $true ) ).
% 2.00/2.05
% 2.00/2.05 fof(mSZeroSc,axiom,
% 2.00/2.05 aScalar0(sz0z00) ).
% 2.00/2.05
% 2.00/2.05 fof(mSumSc,axiom,
% 2.00/2.05 ! [W0,W1] :
% 2.00/2.05 ( ( aScalar0(W0)
% 2.00/2.05 & aScalar0(W1) )
% 2.00/2.05 => aScalar0(sdtpldt0(W0,W1)) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mMulSc,axiom,
% 2.00/2.05 ! [W0,W1] :
% 2.00/2.05 ( ( aScalar0(W0)
% 2.00/2.05 & aScalar0(W1) )
% 2.00/2.05 => aScalar0(sdtasdt0(W0,W1)) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mNegSc,axiom,
% 2.00/2.05 ! [W0] :
% 2.00/2.05 ( aScalar0(W0)
% 2.00/2.05 => aScalar0(smndt0(W0)) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mScZero,axiom,
% 2.00/2.05 ! [W0] :
% 2.00/2.05 ( aScalar0(W0)
% 2.00/2.05 => ( sdtpldt0(W0,sz0z00) = W0
% 2.00/2.05 & sdtpldt0(sz0z00,W0) = W0
% 2.00/2.05 & sdtasdt0(W0,sz0z00) = sz0z00
% 2.00/2.05 & sdtasdt0(sz0z00,W0) = sz0z00
% 2.00/2.05 & sdtpldt0(W0,smndt0(W0)) = sz0z00
% 2.00/2.05 & sdtpldt0(smndt0(W0),W0) = sz0z00
% 2.00/2.05 & smndt0(smndt0(W0)) = W0
% 2.00/2.05 & smndt0(sz0z00) = sz0z00 ) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mArith,axiom,
% 2.00/2.05 ! [W0,W1,W2] :
% 2.00/2.05 ( ( aScalar0(W0)
% 2.00/2.05 & aScalar0(W1)
% 2.00/2.05 & aScalar0(W2) )
% 2.00/2.05 => ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
% 2.00/2.05 & sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
% 2.00/2.05 & sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
% 2.00/2.05 & sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mDistr,axiom,
% 2.00/2.05 ! [W0,W1,W2] :
% 2.00/2.05 ( ( aScalar0(W0)
% 2.00/2.05 & aScalar0(W1)
% 2.00/2.05 & aScalar0(W2) )
% 2.00/2.05 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 2.00/2.05 & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mDistr2,axiom,
% 2.00/2.05 ! [W0,W1,W2,W3] :
% 2.00/2.05 ( ( aScalar0(W0)
% 2.00/2.05 & aScalar0(W1)
% 2.00/2.05 & aScalar0(W2)
% 2.00/2.05 & aScalar0(W3) )
% 2.00/2.05 => sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mMNeg,axiom,
% 2.00/2.05 ! [W0,W1] :
% 2.00/2.05 ( ( aScalar0(W0)
% 2.00/2.05 & aScalar0(W1) )
% 2.00/2.05 => ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
% 2.00/2.05 & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mMDNeg,axiom,
% 2.00/2.05 ! [W0,W1] :
% 2.00/2.05 ( ( aScalar0(W0)
% 2.00/2.05 & aScalar0(W1) )
% 2.00/2.05 => sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mLess,axiom,
% 2.00/2.05 ! [W0,W1] :
% 2.00/2.05 ( ( aScalar0(W0)
% 2.00/2.05 & aScalar0(W1) )
% 2.00/2.05 => ( sdtlseqdt0(W0,W1)
% 2.00/2.05 => $true ) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mLERef,axiom,
% 2.00/2.05 ! [W0] :
% 2.00/2.05 ( aScalar0(W0)
% 2.00/2.05 => sdtlseqdt0(W0,W0) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mLEASm,axiom,
% 2.00/2.05 ! [W0,W1] :
% 2.00/2.05 ( ( aScalar0(W0)
% 2.00/2.05 & aScalar0(W1) )
% 2.00/2.05 => ( ( sdtlseqdt0(W0,W1)
% 2.00/2.05 & sdtlseqdt0(W1,W0) )
% 2.00/2.05 => W0 = W1 ) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mLETrn,axiom,
% 2.00/2.05 ! [W0,W1,W2] :
% 2.00/2.05 ( ( aScalar0(W0)
% 2.00/2.05 & aScalar0(W1)
% 2.00/2.05 & aScalar0(W2) )
% 2.00/2.05 => ( ( sdtlseqdt0(W0,W1)
% 2.00/2.05 & sdtlseqdt0(W1,W2) )
% 2.00/2.05 => sdtlseqdt0(W0,W2) ) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mLEMon,axiom,
% 2.00/2.05 ! [W0,W1,W2,W3] :
% 2.00/2.05 ( ( aScalar0(W0)
% 2.00/2.05 & aScalar0(W1)
% 2.00/2.05 & aScalar0(W2)
% 2.00/2.05 & aScalar0(W3) )
% 2.00/2.05 => ( ( sdtlseqdt0(W0,W1)
% 2.00/2.05 & sdtlseqdt0(W2,W3) )
% 2.00/2.05 => sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ) ).
% 2.00/2.05
% 2.00/2.05 fof(mLEMonM,axiom,
% 2.00/2.05 ! [W0,W1,W2,W3] :
% 2.00/2.05 ( ( aScalar0(W0)
% 2.00/2.05 & aScalar0(W1)
% 2.00/2.05 & aScalar0(W2)
% 2.00/2.05 & aScalar0(W3) )
% 2.00/2.05 => ( ( sdtlseqdt0(W0,W1)
% 2.00/2.05 & sdtlseqdt0(sz0z00,W2)
% 2.00/2.05 & sdtlseqdt0(W2,W3) )
% 2.00/2.06 => sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ) ).
% 2.00/2.06
% 2.00/2.06 fof(mLETot,axiom,
% 2.00/2.06 ! [W0,W1] :
% 2.00/2.06 ( ( aScalar0(W0)
% 2.00/2.06 & aScalar0(W1) )
% 2.00/2.06 => ( sdtlseqdt0(W0,W1)
% 2.00/2.06 | sdtlseqdt0(W1,W0) ) ) ).
% 2.00/2.06
% 2.00/2.06 fof(mPosMon,axiom,
% 2.00/2.06 ! [W0,W1] :
% 2.00/2.06 ( ( aScalar0(W0)
% 2.00/2.06 & aScalar0(W1) )
% 2.00/2.06 => ( ( sdtlseqdt0(sz0z00,W0)
% 2.00/2.06 & sdtlseqdt0(sz0z00,W1) )
% 2.00/2.06 => ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))
% 2.00/2.06 & sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ) ).
% 2.00/2.06
% 2.00/2.06 fof(mSqPos,axiom,
% 2.00/2.06 ! [W0] :
% 2.00/2.06 ( aScalar0(W0)
% 2.00/2.06 => sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ) ).
% 2.00/2.06
% 2.00/2.06 fof(mSqrt,axiom,
% 2.00/2.06 ! [W0,W1] :
% 2.00/2.06 ( ( aScalar0(W0)
% 2.00/2.06 & aScalar0(W1) )
% 2.00/2.06 => ( ( sdtlseqdt0(sz0z00,W0)
% 2.00/2.06 & sdtlseqdt0(sz0z00,W1)
% 2.00/2.06 & sdtasdt0(W0,W0) = sdtasdt0(W1,W1) )
% 2.00/2.06 => W0 = W1 ) ) ).
% 2.00/2.06
% 2.00/2.06 fof(mVcSort,axiom,
% 2.00/2.06 ! [W0] :
% 2.00/2.06 ( aVector0(W0)
% 2.00/2.06 => $true ) ).
% 2.00/2.06
% 2.00/2.06 fof(mDimNat,axiom,
% 2.00/2.06 ! [W0] :
% 2.00/2.06 ( aVector0(W0)
% 2.00/2.06 => aNaturalNumber0(aDimensionOf0(W0)) ) ).
% 2.00/2.06
% 2.00/2.06 fof(mElmSc,axiom,
% 2.00/2.06 ! [W0,W1] :
% 2.00/2.06 ( ( aVector0(W0)
% 2.00/2.06 & aNaturalNumber0(W1) )
% 2.00/2.06 => aScalar0(sdtlbdtrb0(W0,W1)) ) ).
% 2.00/2.06
% 2.00/2.06 fof(mDefInit,definition,
% 2.00/2.06 ! [W0] :
% 2.00/2.06 ( aVector0(W0)
% 2.00/2.06 => ( aDimensionOf0(W0) != sz00
% 2.00/2.06 => ! [W1] :
% 2.00/2.06 ( W1 = sziznziztdt0(W0)
% 2.00/2.06 <=> ( aVector0(W1)
% 2.00/2.06 & szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)
% 2.00/2.06 & ! [W2] :
% 2.00/2.06 ( aNaturalNumber0(W2)
% 2.00/2.06 => sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ) ).
% 2.00/2.06
% 2.00/2.06 fof(mEqInit,axiom,
% 2.00/2.06 ! [W0,W1] :
% 2.00/2.06 ( ( aVector0(W0)
% 2.00/2.06 & aVector0(W1) )
% 2.00/2.06 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.00/2.06 & aDimensionOf0(W1) != sz00 )
% 2.00/2.06 => aDimensionOf0(sziznziztdt0(W0)) = aDimensionOf0(sziznziztdt0(W1)) ) ) ).
% 2.00/2.06
% 2.00/2.06 fof(mScPr,axiom,
% 2.00/2.06 ! [W0,W1] :
% 2.00/2.06 ( ( aVector0(W0)
% 2.00/2.06 & aVector0(W1) )
% 2.00/2.06 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.00/2.06 => aScalar0(sdtasasdt0(W0,W1)) ) ) ).
% 2.00/2.06
% 2.00/2.06 fof(mDefSPZ,axiom,
% 2.00/2.06 ! [W0,W1] :
% 2.00/2.06 ( ( aVector0(W0)
% 2.00/2.06 & aVector0(W1) )
% 2.00/2.06 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.00/2.06 & aDimensionOf0(W1) = sz00 )
% 2.00/2.06 => sdtasasdt0(W0,W1) = sz0z00 ) ) ).
% 2.00/2.06
% 2.00/2.06 fof(mDefSPN,axiom,
% 2.00/2.06 ! [W0,W1] :
% 2.00/2.06 ( ( aVector0(W0)
% 2.00/2.06 & aVector0(W1) )
% 2.00/2.06 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.00/2.06 & aDimensionOf0(W1) != sz00 )
% 2.00/2.06 => sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))) ) ) ).
% 2.00/2.06
% 2.00/2.06 fof(mScSqPos,axiom,
% 2.00/2.06 ! [W0] :
% 2.00/2.06 ( aVector0(W0)
% 2.00/2.06 => sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1678,hypothesis,
% 2.00/2.06 ( aVector0(xs)
% 2.00/2.06 & aVector0(xt) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1652,hypothesis,
% 2.00/2.06 ! [W0,W1] :
% 2.00/2.06 ( ( aVector0(W0)
% 2.00/2.06 & aVector0(W1) )
% 2.00/2.06 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 2.00/2.06 => ( iLess0(aDimensionOf0(W0),aDimensionOf0(xs))
% 2.00/2.06 => sdtlseqdt0(sdtasdt0(sdtasasdt0(W0,W1),sdtasasdt0(W0,W1)),sdtasdt0(sdtasasdt0(W0,W0),sdtasasdt0(W1,W1))) ) ) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1678_01,hypothesis,
% 2.00/2.06 aDimensionOf0(xs) = aDimensionOf0(xt) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1692,hypothesis,
% 2.00/2.06 aDimensionOf0(xs) != sz00 ).
% 2.00/2.06
% 2.00/2.06 fof(m__1709,hypothesis,
% 2.00/2.06 ( aVector0(xp)
% 2.00/2.06 & xp = sziznziztdt0(xs) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1726,hypothesis,
% 2.00/2.06 ( aVector0(xq)
% 2.00/2.06 & xq = sziznziztdt0(xt) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1746,hypothesis,
% 2.00/2.06 ( aScalar0(xA)
% 2.00/2.06 & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1766,hypothesis,
% 2.00/2.06 ( aScalar0(xB)
% 2.00/2.06 & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1783,hypothesis,
% 2.00/2.06 ( aScalar0(xC)
% 2.00/2.06 & xC = sdtasasdt0(xp,xp) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1800,hypothesis,
% 2.00/2.06 ( aScalar0(xD)
% 2.00/2.06 & xD = sdtasasdt0(xq,xq) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1820,hypothesis,
% 2.00/2.06 ( aScalar0(xE)
% 2.00/2.06 & xE = sdtasasdt0(xp,xq) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1837,hypothesis,
% 2.00/2.06 ( aScalar0(xF)
% 2.00/2.06 & xF = sdtasdt0(xA,xA) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1854,hypothesis,
% 2.00/2.06 ( aScalar0(xG)
% 2.00/2.06 & xG = sdtasdt0(xB,xB) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1873,hypothesis,
% 2.00/2.06 ( aScalar0(xH)
% 2.00/2.06 & xH = sdtasdt0(xA,xB) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1892,hypothesis,
% 2.00/2.06 ( aScalar0(xR)
% 2.00/2.06 & xR = sdtasdt0(xC,xG) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1911,hypothesis,
% 2.00/2.06 ( aScalar0(xP)
% 2.00/2.06 & xP = sdtasdt0(xE,xH) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1930,hypothesis,
% 2.00/2.06 ( aScalar0(xS)
% 2.00/2.06 & xS = sdtasdt0(xF,xD) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1949,hypothesis,
% 2.00/2.06 ( aScalar0(xN)
% 2.00/2.06 & xN = sdtasdt0(xR,xS) ) ).
% 2.00/2.06
% 2.00/2.06 fof(m__1967,hypothesis,
% 2.00/2.06 sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ).
% 2.00/2.06
% 2.00/2.06 fof(m__2004,hypothesis,
% 2.00/2.06 sdtlseqdt0(sdtasdt0(xP,xP),xN) ).
% 2.00/2.06
% 2.00/2.06 fof(m__2104,hypothesis,
% 2.00/2.06 sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ).
% 2.00/2.06
% 2.00/2.06 fof(m__2405,hypothesis,
% 2.00/2.06 sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ).
% 2.00/2.06
% 2.00/2.06 fof(m__2590,hypothesis,
% 2.00/2.06 ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ).
% 2.00/2.06
% 2.00/2.06 fof(m__,conjecture,
% 2.00/2.06 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ).
% 2.00/2.06
% 2.00/2.06 %------------------------------------------------------------------------------
% 2.00/2.06 %-------------------------------------------
% 2.00/2.06 % Proof found
% 2.00/2.06 % SZS status Theorem for theBenchmark
% 2.00/2.06 % SZS output start Proof
% 2.00/2.06 %ClaNum:115(EqnAxiom:25)
% 2.00/2.06 %VarNum:309(SingletonVarNum:96)
% 2.00/2.06 %MaxLitNum:8
% 2.00/2.06 %MaxfuncDepth:4
% 2.00/2.06 %SharedTerms:87
% 2.00/2.06 %goalClause: 64
% 2.00/2.06 %singleGoalClaCount:1
% 2.00/2.06 [28]P1(a3)
% 2.00/2.06 [29]P2(a12)
% 2.00/2.06 [30]P2(a14)
% 2.00/2.06 [31]P2(a16)
% 2.00/2.06 [32]P2(a17)
% 2.00/2.06 [33]P2(a18)
% 2.00/2.06 [34]P2(a19)
% 2.00/2.06 [35]P2(a20)
% 2.00/2.06 [36]P2(a21)
% 2.00/2.06 [37]P2(a22)
% 2.00/2.06 [38]P2(a23)
% 2.00/2.06 [39]P2(a24)
% 2.00/2.06 [40]P2(a26)
% 2.00/2.06 [41]P2(a25)
% 2.00/2.06 [42]P3(a1)
% 2.00/2.06 [43]P3(a28)
% 2.00/2.06 [44]P3(a13)
% 2.00/2.06 [45]P3(a27)
% 2.00/2.06 [26]E(f2(a1),a13)
% 2.00/2.06 [27]E(f2(a28),a27)
% 2.00/2.06 [46]E(f4(a28),f4(a1))
% 2.00/2.06 [47]E(f5(a13,a13),a17)
% 2.00/2.06 [48]E(f5(a27,a27),a18)
% 2.00/2.06 [49]E(f5(a13,a27),a19)
% 2.00/2.06 [50]E(f8(a14,a14),a20)
% 2.00/2.06 [51]E(f8(a16,a16),a21)
% 2.00/2.06 [52]E(f8(a14,a16),a22)
% 2.00/2.06 [53]E(f8(a17,a21),a23)
% 2.00/2.06 [54]E(f8(a19,a22),a24)
% 2.00/2.06 [55]E(f8(a20,a18),a26)
% 2.00/2.06 [56]E(f8(a23,a26),a25)
% 2.00/2.06 [59]P4(f8(a24,a24),a25)
% 2.00/2.06 [60]P4(f8(a19,a19),f8(a17,a18))
% 2.00/2.06 [63]~E(f4(a1),a3)
% 2.00/2.06 [64]~P4(f10(a23,a26),f10(a24,a24))
% 2.00/2.06 [65]~P4(f10(a24,a24),f10(a23,a26))
% 2.00/2.06 [57]E(f9(a1,f4(a1)),a14)
% 2.00/2.06 [58]E(f9(a28,f4(a28)),a16)
% 2.00/2.06 [61]P4(f10(f8(a24,a24),f8(a24,a24)),f10(f8(a23,a23),f8(a26,a26)))
% 2.00/2.06 [62]P4(f8(f10(a24,a24),f10(a24,a24)),f8(f10(a23,a26),f10(a23,a26)))
% 2.00/2.06 [78]~P2(x781)+P4(x781,x781)
% 2.00/2.06 [66]~P2(x661)+E(f11(a12),a12)
% 2.00/2.06 [67]~P1(x671)+~E(f15(x671),a3)
% 2.00/2.06 [68]~P1(x681)+P1(f15(x681))
% 2.00/2.06 [69]~P3(x691)+P1(f4(x691))
% 2.00/2.06 [70]~P2(x701)+P2(f11(x701))
% 2.00/2.06 [73]~P2(x731)+E(f8(x731,a12),a12)
% 2.00/2.06 [74]~P2(x741)+E(f8(a12,x741),a12)
% 2.00/2.06 [76]~P2(x761)+E(f10(x761,a12),x761)
% 2.00/2.06 [77]~P2(x771)+E(f10(a12,x771),x771)
% 2.00/2.06 [82]~P1(x821)+P5(x821,f15(x821))
% 2.00/2.06 [89]~P2(x891)+P4(a12,f8(x891,x891))
% 2.00/2.06 [90]~P3(x901)+P4(a12,f5(x901,x901))
% 2.00/2.06 [71]~P2(x711)+E(f11(f11(x711)),x711)
% 2.00/2.06 [80]~P2(x801)+E(f10(x801,f11(x801)),a12)
% 2.00/2.06 [81]~P2(x811)+E(f10(f11(x811),x811),a12)
% 2.00/2.06 [72]~P1(x721)+E(x721,a3)+P1(f6(x721))
% 2.00/2.06 [75]~P1(x751)+E(x751,a3)+E(f15(f6(x751)),x751)
% 2.00/2.06 [86]~P2(x862)+~P2(x861)+P2(f10(x861,x862))
% 2.00/2.06 [87]~P2(x872)+~P2(x871)+P2(f8(x871,x872))
% 2.00/2.06 [88]~P1(x882)+~P3(x881)+P2(f9(x881,x882))
% 2.00/2.06 [95]~P2(x952)+~P2(x951)+E(f8(f11(x951),f11(x952)),f8(x951,x952))
% 2.00/2.06 [99]~P2(x992)+~P2(x991)+E(f11(f8(x991,x992)),f8(x991,f11(x992)))
% 2.00/2.06 [100]~P2(x1002)+~P2(x1001)+E(f11(f8(x1001,x1002)),f8(f11(x1001),x1002))
% 2.00/2.06 [85]P4(x852,x851)+~P2(x851)+~P2(x852)+P4(x851,x852)
% 2.00/2.06 [79]~P3(x791)+P3(x792)+~E(x792,f2(x791))+E(f4(x791),a3)
% 2.00/2.06 [83]~P1(x832)+~P1(x831)+E(x831,x832)+~E(f15(x831),f15(x832))
% 2.00/2.06 [97]~P3(x972)+~P3(x971)+~E(f4(x971),f4(x972))+P2(f5(x971,x972))
% 2.00/2.06 [84]~P3(x841)+~E(x842,f2(x841))+E(f4(x841),a3)+E(f15(f4(x842)),f4(x841))
% 2.00/2.06 [92]~P2(x922)+~P2(x921)+~P2(x923)+E(f10(x921,x922),f10(x922,x921))
% 2.00/2.06 [93]~P2(x932)+~P2(x931)+~P2(x933)+E(f8(x931,x932),f8(x932,x931))
% 2.00/2.06 [105]~P2(x1053)+~P2(x1052)+~P2(x1051)+E(f10(f10(x1051,x1052),x1053),f10(x1051,f10(x1052,x1053)))
% 2.00/2.06 [106]~P2(x1063)+~P2(x1062)+~P2(x1061)+E(f8(f8(x1061,x1062),x1063),f8(x1061,f8(x1062,x1063)))
% 2.00/2.06 [108]~P2(x1083)+~P2(x1082)+~P2(x1081)+E(f10(f8(x1081,x1082),f8(x1081,x1083)),f8(x1081,f10(x1082,x1083)))
% 2.00/2.06 [109]~P2(x1092)+~P2(x1093)+~P2(x1091)+E(f10(f8(x1091,x1092),f8(x1093,x1092)),f8(f10(x1091,x1093),x1092))
% 2.00/2.06 [98]~P2(x982)+~P2(x981)+~P4(x982,x981)+~P4(x981,x982)+E(x981,x982)
% 2.00/2.06 [91]~P3(x912)+~P3(x911)+~E(f4(x911),f4(x912))+~E(f4(x912),a3)+E(f5(x911,x912),a12)
% 2.00/2.06 [103]~P2(x1032)+~P2(x1031)+~P4(a12,x1032)+~P4(a12,x1031)+P4(a12,f10(x1031,x1032))
% 2.00/2.06 [104]~P2(x1042)+~P2(x1041)+~P4(a12,x1042)+~P4(a12,x1041)+P4(a12,f8(x1041,x1042))
% 2.00/2.06 [94]~P3(x941)+~P3(x942)+~E(f4(x942),f4(x941))+E(f4(x941),a3)+E(f4(f2(x942)),f4(f2(x941)))
% 2.00/2.06 [114]~P3(x1142)+~P3(x1141)+~E(f4(x1141),f4(x1142))+~P5(f4(x1141),f4(a1))+P4(f8(f5(x1141,x1142),f5(x1141,x1142)),f8(f5(x1141,x1141),f5(x1142,x1142)))
% 2.00/2.06 [113]~P3(x1131)+~P3(x1132)+~E(f4(x1132),f4(x1131))+E(f4(x1131),a3)+E(f10(f5(f2(x1132),f2(x1131)),f8(f9(x1132,f4(x1132)),f9(x1131,f4(x1131)))),f5(x1132,x1131))
% 2.00/2.06 [96]~P1(x963)+~P3(x961)+~E(x962,f2(x961))+E(f9(x962,x963),f9(x961,x963))+E(f4(x961),a3)
% 2.00/2.06 [115]~P2(x1153)+~P2(x1152)+~P2(x1154)+~P2(x1151)+E(f10(f10(f8(x1151,x1152),f8(x1151,x1153)),f10(f8(x1154,x1152),f8(x1154,x1153))),f8(f10(x1151,x1154),f10(x1152,x1153)))
% 2.00/2.06 [107]~P2(x1072)+~P2(x1071)+E(x1071,x1072)+~E(f8(x1071,x1071),f8(x1072,x1072))+~P4(a12,x1072)+~P4(a12,x1071)
% 2.00/2.06 [101]~P3(x1011)+~P3(x1012)+E(x1011,f2(x1012))+E(f4(x1012),a3)+P1(f7(x1012,x1011))+~E(f15(f4(x1011)),f4(x1012))
% 2.00/2.06 [112]~P3(x1122)+~P3(x1121)+E(x1121,f2(x1122))+E(f4(x1122),a3)+~E(f15(f4(x1121)),f4(x1122))+~E(f9(x1121,f7(x1122,x1121)),f9(x1122,f7(x1122,x1121)))
% 2.00/2.06 [102]~P2(x1022)+~P2(x1021)+~P4(x1023,x1022)+~P4(x1021,x1023)+P4(x1021,x1022)+~P2(x1023)
% 2.00/2.06 [110]~P2(x1104)+~P2(x1102)+~P2(x1103)+~P2(x1101)+~P4(x1102,x1104)+~P4(x1101,x1103)+P4(f10(x1101,x1102),f10(x1103,x1104))
% 2.00/2.06 [111]~P2(x1114)+~P2(x1112)+~P2(x1113)+~P2(x1111)+~P4(x1112,x1114)+~P4(x1111,x1113)+~P4(a12,x1112)+P4(f8(x1111,x1112),f8(x1113,x1114))
% 2.00/2.06 %EqnAxiom
% 2.00/2.06 [1]E(x11,x11)
% 2.00/2.06 [2]E(x22,x21)+~E(x21,x22)
% 2.00/2.06 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.00/2.06 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 2.00/2.06 [5]~E(x51,x52)+E(f8(x51,x53),f8(x52,x53))
% 2.00/2.06 [6]~E(x61,x62)+E(f8(x63,x61),f8(x63,x62))
% 2.00/2.06 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 2.00/2.06 [8]~E(x81,x82)+E(f10(x81,x83),f10(x82,x83))
% 2.00/2.06 [9]~E(x91,x92)+E(f10(x93,x91),f10(x93,x92))
% 2.00/2.06 [10]~E(x101,x102)+E(f5(x101,x103),f5(x102,x103))
% 2.00/2.06 [11]~E(x111,x112)+E(f5(x113,x111),f5(x113,x112))
% 2.00/2.06 [12]~E(x121,x122)+E(f11(x121),f11(x122))
% 2.00/2.06 [13]~E(x131,x132)+E(f15(x131),f15(x132))
% 2.00/2.06 [14]~E(x141,x142)+E(f9(x141,x143),f9(x142,x143))
% 2.00/2.06 [15]~E(x151,x152)+E(f9(x153,x151),f9(x153,x152))
% 2.00/2.06 [16]~E(x161,x162)+E(f7(x161,x163),f7(x162,x163))
% 2.00/2.06 [17]~E(x171,x172)+E(f7(x173,x171),f7(x173,x172))
% 2.00/2.06 [18]~E(x181,x182)+E(f6(x181),f6(x182))
% 2.00/2.06 [19]~P1(x191)+P1(x192)+~E(x191,x192)
% 2.00/2.06 [20]~P2(x201)+P2(x202)+~E(x201,x202)
% 2.00/2.06 [21]P4(x212,x213)+~E(x211,x212)+~P4(x211,x213)
% 2.00/2.06 [22]P4(x223,x222)+~E(x221,x222)+~P4(x223,x221)
% 2.00/2.06 [23]~P3(x231)+P3(x232)+~E(x231,x232)
% 2.00/2.06 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243)
% 2.00/2.06 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251)
% 2.00/2.06
% 2.00/2.06 %-------------------------------------------
% 2.00/2.07 cnf(116,plain,
% 2.00/2.07 (E(a13,f2(a1))),
% 2.00/2.07 inference(scs_inference,[],[26,2])).
% 2.00/2.07 cnf(117,plain,
% 2.00/2.07 (P3(f2(a1))),
% 2.00/2.07 inference(scs_inference,[],[44,26,2,23])).
% 2.00/2.07 cnf(118,plain,
% 2.00/2.07 (P4(a12,a12)),
% 2.00/2.07 inference(scs_inference,[],[29,44,26,2,23,85])).
% 2.00/2.07 cnf(119,plain,
% 2.00/2.07 (E(f15(f4(a13)),f4(a1))),
% 2.00/2.07 inference(scs_inference,[],[29,42,44,26,63,2,23,85,84])).
% 2.00/2.07 cnf(121,plain,
% 2.00/2.07 (E(f9(a13,a3),f9(a1,a3))),
% 2.00/2.07 inference(scs_inference,[],[28,29,42,44,26,63,2,23,85,84,96])).
% 2.00/2.07 cnf(123,plain,
% 2.00/2.07 (E(f4(f2(a28)),f4(f2(a1)))),
% 2.00/2.07 inference(scs_inference,[],[28,29,42,43,44,26,63,46,2,23,85,84,96,94])).
% 2.00/2.07 cnf(125,plain,
% 2.00/2.07 (P4(f8(a12,a12),f8(a12,a12))),
% 2.00/2.07 inference(scs_inference,[],[28,29,42,43,44,26,63,46,2,23,85,84,96,94,111])).
% 2.00/2.07 cnf(126,plain,
% 2.00/2.07 (P4(a14,a14)),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78])).
% 2.00/2.07 cnf(132,plain,
% 2.00/2.07 (E(f10(a12,a12),a12)),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77])).
% 2.00/2.07 cnf(136,plain,
% 2.00/2.07 (E(f8(a12,a12),a12)),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74])).
% 2.00/2.07 cnf(138,plain,
% 2.00/2.07 (E(f8(a14,a12),a12)),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74,73])).
% 2.00/2.07 cnf(144,plain,
% 2.00/2.07 (P1(f4(a1))),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74,73,71,70,69])).
% 2.00/2.07 cnf(146,plain,
% 2.00/2.07 (P1(f15(a3))),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74,73,71,70,69,68])).
% 2.00/2.07 cnf(148,plain,
% 2.00/2.07 (~E(f15(a3),a3)),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74,73,71,70,69,68,67])).
% 2.00/2.07 cnf(151,plain,
% 2.00/2.07 (E(f7(x1511,f2(a1)),f7(x1511,a13))),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74,73,71,70,69,68,67,18,17])).
% 2.00/2.07 cnf(152,plain,
% 2.00/2.07 (E(f7(f2(a1),x1521),f7(a13,x1521))),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74,73,71,70,69,68,67,18,17,16])).
% 2.00/2.07 cnf(154,plain,
% 2.00/2.07 (E(f9(f2(a1),x1541),f9(a13,x1541))),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74,73,71,70,69,68,67,18,17,16,15,14])).
% 2.00/2.07 cnf(157,plain,
% 2.00/2.07 (E(f5(x1571,f2(a1)),f5(x1571,a13))),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74,73,71,70,69,68,67,18,17,16,15,14,13,12,11])).
% 2.00/2.07 cnf(158,plain,
% 2.00/2.07 (E(f5(f2(a1),x1581),f5(a13,x1581))),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74,73,71,70,69,68,67,18,17,16,15,14,13,12,11,10])).
% 2.00/2.07 cnf(161,plain,
% 2.00/2.07 (E(f4(f2(a1)),f4(a13))),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74,73,71,70,69,68,67,18,17,16,15,14,13,12,11,10,9,8,7])).
% 2.00/2.07 cnf(164,plain,
% 2.00/2.07 (E(f2(f2(a1)),f2(a13))),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74,73,71,70,69,68,67,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 2.00/2.07 cnf(167,plain,
% 2.00/2.07 (P4(a12,f8(a12,a12))),
% 2.00/2.07 inference(scs_inference,[],[28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74,73,71,70,69,68,67,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,90,89])).
% 2.00/2.07 cnf(173,plain,
% 2.00/2.07 (~P4(f10(a23,a26),x1731)+~E(x1731,f10(a24,a24))),
% 2.00/2.07 inference(scs_inference,[],[64,28,29,30,42,43,44,26,63,46,2,23,85,84,96,94,111,78,66,82,77,76,74,73,71,70,69,68,67,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,90,89,81,80,22])).
% 2.00/2.07 cnf(230,plain,
% 2.00/2.07 (P1(f6(f4(a1)))),
% 2.00/2.07 inference(scs_inference,[],[45,28,63,144,88,75,72])).
% 2.00/2.07 cnf(244,plain,
% 2.00/2.07 (E(f8(f11(a16),f11(a16)),f8(a16,a16))),
% 2.00/2.07 inference(scs_inference,[],[31,45,46,43,28,63,42,144,88,75,72,100,108,113,87,86,99,95])).
% 2.00/2.07 cnf(255,plain,
% 2.00/2.07 (E(f5(a13,f2(a1)),a17)),
% 2.00/2.07 inference(scs_inference,[],[31,45,47,46,43,28,63,42,136,125,157,144,88,75,72,100,108,113,87,86,99,95,106,105,109,115,22,3])).
% 2.00/2.07 cnf(257,plain,
% 2.00/2.07 (~E(a3,f4(a1))),
% 2.00/2.07 inference(scs_inference,[],[31,45,47,46,43,28,63,42,136,125,157,144,88,75,72,100,108,113,87,86,99,95,106,105,109,115,22,3,2])).
% 2.00/2.07 cnf(292,plain,
% 2.00/2.07 (~E(a3,f4(a28))),
% 2.00/2.07 inference(scs_inference,[],[32,46,257,108,105,109,106,115,3])).
% 2.00/2.07 cnf(293,plain,
% 2.00/2.07 (E(a18,f5(a27,a27))),
% 2.00/2.07 inference(scs_inference,[],[32,48,46,257,108,105,109,106,115,3,2])).
% 2.00/2.07 cnf(316,plain,
% 2.00/2.07 (E(f4(f2(a28)),f4(a13))),
% 2.00/2.07 inference(scs_inference,[],[34,29,123,161,118,103,115,3])).
% 2.00/2.07 cnf(317,plain,
% 2.00/2.07 (~E(a3,f15(a3))),
% 2.00/2.07 inference(scs_inference,[],[34,29,123,161,148,118,103,115,3,2])).
% 2.00/2.07 cnf(334,plain,
% 2.00/2.07 (P2(f5(f2(a1),a13))),
% 2.00/2.07 inference(scs_inference,[],[117,44,161,97])).
% 2.00/2.07 cnf(339,plain,
% 2.00/2.07 (E(f5(f2(a1),x3391),f5(a13,x3391))),
% 2.00/2.07 inference(rename_variables,[],[158])).
% 2.00/2.07 cnf(342,plain,
% 2.00/2.07 (E(a27,f2(a28))),
% 2.00/2.07 inference(scs_inference,[],[27,35,49,117,44,158,339,161,97,87,20,3,2])).
% 2.00/2.07 cnf(381,plain,
% 2.00/2.07 (P1(f4(f2(a1)))),
% 2.00/2.07 inference(scs_inference,[],[36,117,146,82,77,69])).
% 2.00/2.07 cnf(388,plain,
% 2.00/2.07 (E(f5(x3881,f2(a28)),f5(x3881,a27))),
% 2.00/2.07 inference(scs_inference,[],[27,36,117,146,82,77,69,18,17,16,15,12,11])).
% 2.00/2.07 cnf(391,plain,
% 2.00/2.07 (P3(f2(a28))),
% 2.00/2.07 inference(scs_inference,[],[27,36,117,45,146,342,82,77,69,18,17,16,15,12,11,8,5,23])).
% 2.00/2.07 cnf(396,plain,
% 2.00/2.07 (~E(f4(a28),a3)),
% 2.00/2.07 inference(scs_inference,[],[27,36,116,117,45,42,63,146,292,342,82,77,69,18,17,16,15,12,11,8,5,23,96,87,2])).
% 2.00/2.07 cnf(397,plain,
% 2.00/2.07 (P4(a21,a21)),
% 2.00/2.07 inference(scs_inference,[],[27,36,116,117,45,42,63,146,292,342,82,77,69,18,17,16,15,12,11,8,5,23,96,87,2,78])).
% 2.00/2.07 cnf(425,plain,
% 2.00/2.07 (E(f15(f6(f15(a3))),f15(a3))),
% 2.00/2.07 inference(scs_inference,[],[148,146,75])).
% 2.00/2.07 cnf(427,plain,
% 2.00/2.07 (P1(f6(f15(a3)))),
% 2.00/2.07 inference(scs_inference,[],[148,146,75,72])).
% 2.00/2.07 cnf(429,plain,
% 2.00/2.07 (E(f15(f4(a27)),f4(a28))),
% 2.00/2.07 inference(scs_inference,[],[43,396,342,148,146,75,72,84])).
% 2.00/2.07 cnf(431,plain,
% 2.00/2.07 (~E(a3,f15(f6(f15(a3))))),
% 2.00/2.07 inference(scs_inference,[],[43,317,396,342,148,146,75,72,84,3])).
% 2.00/2.07 cnf(432,plain,
% 2.00/2.07 (E(a20,f8(a14,a14))),
% 2.00/2.07 inference(scs_inference,[],[50,43,317,396,342,148,146,75,72,84,3,2])).
% 2.00/2.07 cnf(444,plain,
% 2.00/2.07 (P2(f9(a13,a3))),
% 2.00/2.07 inference(scs_inference,[],[28,37,50,117,118,43,29,317,396,132,154,342,148,146,75,72,84,3,2,88,100,113,96,110,22,20])).
% 2.00/2.07 cnf(446,plain,
% 2.00/2.07 (E(f6(f15(a3)),a3)),
% 2.00/2.07 inference(scs_inference,[],[28,37,50,117,118,43,29,317,396,132,154,342,148,146,75,72,84,3,2,88,100,113,96,110,22,20,83])).
% 2.00/2.07 cnf(500,plain,
% 2.00/2.07 (~P4(x5001,f10(a23,a26))+~P5(f8(a14,a16),f8(a14,a16))+~E(x5001,f10(a24,a24))),
% 2.00/2.07 inference(scs_inference,[],[28,38,39,40,52,65,117,36,45,43,42,63,151,152,431,397,257,144,100,86,88,99,95,3,2,83,111,105,109,108,106,112,24,113,25,110,21])).
% 2.00/2.07 cnf(514,plain,
% 2.00/2.07 (E(f8(f8(a12,a12),a12),f8(a12,f8(a12,a12)))),
% 2.00/2.07 inference(scs_inference,[],[29,46,43,42,108,97,105,109,115,106])).
% 2.00/2.07 cnf(517,plain,
% 2.00/2.07 (E(a23,f8(a17,a21))),
% 2.00/2.07 inference(scs_inference,[],[29,53,119,46,43,42,257,108,97,105,109,115,106,3,2])).
% 2.00/2.07 cnf(518,plain,
% 2.00/2.07 (P4(a12,f5(f2(a1),f2(a1)))),
% 2.00/2.07 inference(scs_inference,[],[29,53,119,117,46,43,42,257,108,97,105,109,115,106,3,2,90])).
% 2.00/2.07 cnf(524,plain,
% 2.00/2.07 (P2(f11(a18))),
% 2.00/2.07 inference(scs_inference,[],[29,53,119,33,117,46,43,42,257,108,97,105,109,115,106,3,2,90,81,76,70])).
% 2.00/2.07 cnf(530,plain,
% 2.00/2.07 (P1(f15(f4(f2(a1))))),
% 2.00/2.07 inference(scs_inference,[],[29,53,119,33,117,46,43,42,381,257,108,97,105,109,115,106,3,2,90,81,76,70,74,71,68])).
% 2.00/2.07 cnf(532,plain,
% 2.00/2.07 (~E(f15(f4(f2(a1))),a3)),
% 2.00/2.07 inference(scs_inference,[],[29,53,119,33,117,46,43,42,381,257,108,97,105,109,115,106,3,2,90,81,76,70,74,71,68,67])).
% 2.00/2.07 cnf(538,plain,
% 2.00/2.07 (P1(f4(a13))),
% 2.00/2.07 inference(scs_inference,[],[29,53,119,33,117,46,43,42,381,257,161,108,97,105,109,115,106,3,2,90,81,76,70,74,71,68,67,80,104,19])).
% 2.00/2.07 cnf(539,plain,
% 2.00/2.07 (P2(f8(a12,a12))),
% 2.00/2.07 inference(scs_inference,[],[29,53,119,33,117,46,43,42,381,257,161,108,97,105,109,115,106,3,2,90,81,76,70,74,71,68,67,80,104,19,87])).
% 2.00/2.07 cnf(541,plain,
% 2.00/2.07 (P4(a12,f5(f2(a1),a13))),
% 2.00/2.07 inference(scs_inference,[],[29,53,119,33,117,46,43,42,381,157,257,161,108,97,105,109,115,106,3,2,90,81,76,70,74,71,68,67,80,104,19,87,22])).
% 2.00/2.07 cnf(547,plain,
% 2.00/2.07 (P4(a18,a18)),
% 2.00/2.07 inference(scs_inference,[],[29,53,119,33,117,46,43,42,63,381,157,257,161,108,97,105,109,115,106,3,2,90,81,76,70,74,71,68,67,80,104,19,87,22,89,98,85])).
% 2.00/2.07 cnf(563,plain,
% 2.00/2.07 (E(f10(f8(a24,a24),f8(a24,a24)),f8(a24,f10(a24,a24)))),
% 2.00/2.07 inference(scs_inference,[],[29,39,118,539,541,334,167,125,111,103,105,108])).
% 2.00/2.07 cnf(567,plain,
% 2.00/2.07 (E(f10(f8(a24,a24),f8(a24,a24)),f8(f10(a24,a24),a24))),
% 2.00/2.07 inference(scs_inference,[],[29,39,118,539,541,334,167,125,111,103,105,108,115,109])).
% 2.00/2.07 cnf(569,plain,
% 2.00/2.07 (P2(f8(a24,a24))),
% 2.00/2.07 inference(scs_inference,[],[29,39,118,539,541,334,167,125,111,103,105,108,115,109,87])).
% 2.00/2.07 cnf(574,plain,
% 2.00/2.07 (P4(a12,f5(a13,f2(a1)))),
% 2.00/2.07 inference(scs_inference,[],[29,39,118,539,514,518,541,334,158,167,125,111,103,105,108,115,109,87,106,21,22])).
% 2.00/2.07 cnf(576,plain,
% 2.00/2.07 (~E(f4(a1),f6(f15(a3)))),
% 2.00/2.07 inference(scs_inference,[],[29,39,118,63,446,539,514,518,541,334,158,167,125,111,103,105,108,115,109,87,106,21,22,3])).
% 2.00/2.07 cnf(580,plain,
% 2.00/2.07 (P1(f4(a27))),
% 2.00/2.07 inference(scs_inference,[],[29,39,118,45,63,446,539,514,518,532,541,334,158,167,125,111,103,105,108,115,109,87,106,21,22,3,2,77,69])).
% 2.00/2.07 cnf(590,plain,
% 2.00/2.07 (~E(f15(f4(a1)),f15(a3))),
% 2.00/2.07 inference(scs_inference,[],[29,54,39,118,45,63,446,539,514,530,518,532,541,334,158,167,125,144,28,111,103,105,108,115,109,87,106,21,22,3,2,77,69,78,17,15,82,73,83])).
% 2.00/2.07 cnf(599,plain,
% 2.00/2.07 (E(f10(f8(a19,a22),x5991),f10(a24,x5991))),
% 2.00/2.07 inference(scs_inference,[],[29,54,39,118,45,63,446,539,514,530,518,532,541,334,158,167,125,144,28,111,103,105,108,115,109,87,106,21,22,3,2,77,69,78,17,15,82,73,83,104,18,16,12,11,10,8])).
% 2.00/2.07 cnf(604,plain,
% 2.00/2.07 (E(f10(x6041,f8(a19,a22)),f10(x6041,a24))),
% 2.00/2.07 inference(scs_inference,[],[29,54,39,118,45,63,446,539,514,530,518,532,541,334,158,167,125,144,28,111,103,105,108,115,109,87,106,21,22,3,2,77,69,78,17,15,82,73,83,104,18,16,12,11,10,8,6,5,13,14,9])).
% 2.00/2.07 cnf(610,plain,
% 2.00/2.07 (P4(a26,a26)),
% 2.00/2.07 inference(scs_inference,[],[29,54,39,40,118,45,63,446,539,514,530,518,532,541,334,158,167,125,144,28,111,103,105,108,115,109,87,106,21,22,3,2,77,69,78,17,15,82,73,83,104,18,16,12,11,10,8,6,5,13,14,9,7,4,173,102,85])).
% 2.00/2.07 cnf(612,plain,
% 2.00/2.07 (P2(f5(f2(a1),f2(a1)))),
% 2.00/2.07 inference(scs_inference,[],[29,54,39,40,117,118,45,63,446,539,514,530,518,532,541,334,158,167,125,144,28,111,103,105,108,115,109,87,106,21,22,3,2,77,69,78,17,15,82,73,83,104,18,16,12,11,10,8,6,5,13,14,9,7,4,173,102,85,97])).
% 2.00/2.07 cnf(622,plain,
% 2.00/2.07 (P4(f8(a14,a12),f8(a14,a12))),
% 2.00/2.07 inference(scs_inference,[],[30,117,118,612,391,123,518,126,29,97,103,111])).
% 2.00/2.07 cnf(628,plain,
% 2.00/2.07 (~P4(f10(f8(a19,a22),a24),f10(a23,a26))),
% 2.00/2.07 inference(scs_inference,[],[30,41,59,65,117,118,569,612,599,391,123,518,126,29,97,103,111,115,110,21])).
% 2.00/2.07 cnf(646,plain,
% 2.00/2.07 (P1(f15(f4(a27)))),
% 2.00/2.07 inference(scs_inference,[],[580,68])).
% 2.00/2.07 cnf(654,plain,
% 2.00/2.07 (P1(f4(a28))),
% 2.00/2.07 inference(scs_inference,[],[116,40,118,42,63,610,580,429,530,532,29,68,72,96,111,19])).
% 2.00/2.07 cnf(659,plain,
% 2.00/2.07 (P4(a12,a17)),
% 2.00/2.07 inference(scs_inference,[],[121,61,116,40,118,42,63,567,610,580,574,255,444,429,530,532,29,68,72,96,111,19,115,20,21,22])).
% 2.00/2.07 cnf(661,plain,
% 2.00/2.07 (~E(f6(f15(a3)),f4(a1))),
% 2.00/2.07 inference(scs_inference,[],[51,121,61,116,40,118,42,63,567,610,576,580,574,255,444,429,530,244,532,29,68,72,96,111,19,115,20,21,22,3,2])).
% 2.00/2.07 cnf(670,plain,
% 2.00/2.07 (E(f8(f11(a14),f11(a14)),f8(a14,a14))),
% 2.00/2.07 inference(scs_inference,[],[30,51,121,61,116,40,44,118,42,63,567,610,576,580,574,255,444,429,530,244,532,541,164,334,29,68,72,96,111,19,115,20,21,22,3,2,79,86,104,100,95])).
% 2.00/2.07 cnf(672,plain,
% 2.00/2.07 (E(f15(f6(f4(a28))),f4(a28))),
% 2.00/2.07 inference(scs_inference,[],[30,51,121,61,116,40,44,118,42,63,567,610,576,580,574,255,444,429,530,244,532,541,164,334,396,29,68,72,96,111,19,115,20,21,22,3,2,79,86,104,100,95,75])).
% 2.00/2.07 cnf(699,plain,
% 2.00/2.07 (~E(f15(f4(a1)),f15(f6(f15(a3))))),
% 2.00/2.07 inference(scs_inference,[],[61,34,622,563,138,590,425,86,100,95,99,21,22,3])).
% 2.00/2.07 cnf(705,plain,
% 2.00/2.07 (~E(f15(f15(f4(a27))),a3)),
% 2.00/2.07 inference(scs_inference,[],[31,56,61,34,117,44,622,563,646,138,590,425,161,86,100,95,99,21,22,3,2,114,70,67])).
% 2.00/2.07 cnf(707,plain,
% 2.00/2.07 (P4(a12,f5(a27,a27))),
% 2.00/2.07 inference(scs_inference,[],[31,56,61,34,117,45,44,622,563,646,138,590,425,161,86,100,95,99,21,22,3,2,114,70,67,90])).
% 2.00/2.07 cnf(711,plain,
% 2.00/2.07 (P4(a12,f8(a16,a16))),
% 2.00/2.07 inference(scs_inference,[],[31,56,61,34,117,45,44,622,563,646,138,590,425,161,86,100,95,99,21,22,3,2,114,70,67,90,74,89])).
% 2.00/2.07 cnf(740,plain,
% 2.00/2.07 (P4(a16,a16)),
% 2.00/2.07 inference(scs_inference,[],[31,32,118,659,29,103,85])).
% 2.00/2.07 cnf(745,plain,
% 2.00/2.07 (E(f10(x7451,f8(a19,a22)),f10(x7451,a24))),
% 2.00/2.07 inference(rename_variables,[],[604])).
% 2.00/2.07 cnf(756,plain,
% 2.00/2.07 (P5(f4(a28),f15(f4(a28)))),
% 2.00/2.07 inference(scs_inference,[],[31,50,40,37,32,44,117,118,670,699,659,654,628,604,745,161,29,103,85,87,21,3,2,173,91,77,78,82])).
% 2.00/2.07 cnf(758,plain,
% 2.00/2.07 (P1(f4(f2(a28)))),
% 2.00/2.07 inference(scs_inference,[],[31,50,40,37,32,44,117,118,670,699,659,654,628,604,745,391,161,29,103,85,87,21,3,2,173,91,77,78,82,69])).
% 2.00/2.07 cnf(773,plain,
% 2.00/2.07 (E(f8(f9(a1,f4(a1)),x7731),f8(a14,x7731))),
% 2.00/2.07 inference(scs_inference,[],[31,57,50,40,37,32,44,117,118,670,699,659,654,628,604,745,391,161,29,103,85,87,21,3,2,173,91,77,78,82,69,73,17,18,16,15,10,8,13,12,11,7,6,5])).
% 2.00/2.07 cnf(778,plain,
% 2.00/2.07 (E(f2(f9(a1,f4(a1))),f2(a14))),
% 2.00/2.07 inference(scs_inference,[],[31,57,50,40,37,32,44,117,118,670,699,659,654,628,604,745,391,161,29,103,85,87,21,3,2,173,91,77,78,82,69,73,17,18,16,15,10,8,13,12,11,7,6,5,105,14,9,4])).
% 2.00/2.07 cnf(807,plain,
% 2.00/2.07 (P4(a12,a18)),
% 2.00/2.07 inference(scs_inference,[],[32,48,41,46,44,756,707,316,391,105,97,108,24,87,22])).
% 2.00/2.07 cnf(811,plain,
% 2.00/2.07 (E(a16,f9(a28,f4(a28)))),
% 2.00/2.07 inference(scs_inference,[],[32,58,49,48,41,46,44,547,388,756,707,293,316,391,105,97,108,24,87,22,21,3,2])).
% 2.00/2.07 cnf(855,plain,
% 2.00/2.07 (~E(f15(f15(f4(a27))),f6(f15(a3)))),
% 2.00/2.07 inference(scs_inference,[],[116,36,38,33,42,63,740,758,811,705,517,807,547,446,29,96,111,105,108,106,109,20,21,3])).
% 2.00/2.07 cnf(859,plain,
% 2.00/2.07 (P1(f6(f4(a28)))),
% 2.00/2.07 inference(scs_inference,[],[116,123,36,38,33,117,42,63,740,758,811,705,517,807,547,446,654,396,391,29,96,111,105,108,106,109,20,21,3,2,94,72])).
% 2.00/2.07 cnf(886,plain,
% 2.00/2.07 (E(a26,f8(a20,a18))),
% 2.00/2.07 inference(scs_inference,[],[33,55,125,46,672,539,547,167,111,110,106,109,3,2])).
% 2.00/2.07 cnf(897,plain,
% 2.00/2.07 (~E(f15(f6(f4(a28))),a3)),
% 2.00/2.07 inference(scs_inference,[],[33,55,125,37,46,44,672,859,539,547,167,111,110,106,109,3,2,90,74,81,76,70,67])).
% 2.00/2.07 cnf(909,plain,
% 2.00/2.07 (E(f8(f11(a18),f11(a18)),f8(a18,a18))),
% 2.00/2.07 inference(scs_inference,[],[33,55,125,37,46,44,672,855,859,539,547,427,167,111,110,106,109,3,2,90,74,81,76,70,67,89,80,71,83,100,95])).
% 2.00/2.07 cnf(969,plain,
% 2.00/2.07 (P2(f5(a28,a28))),
% 2.00/2.07 inference(scs_inference,[],[33,119,126,40,34,35,43,45,42,118,63,661,909,778,524,897,432,538,604,807,547,30,29,95,86,100,103,115,110,87,3,2,77,78,73,82,75,99,111,20,500,101,79,113,107,97])).
% 2.00/2.07 cnf(977,plain,
% 2.00/2.07 (P1(f15(f6(f4(a1))))),
% 2.00/2.07 inference(scs_inference,[],[44,230,88,68])).
% 2.00/2.07 cnf(1078,plain,
% 2.00/2.07 (P4(a12,a21)),
% 2.00/2.07 inference(scs_inference,[],[35,47,51,52,59,40,36,41,43,118,977,773,886,969,397,711,569,29,105,86,111,20,3,2,90,67,74,89,81,76,70,71,80,98,108,103,22])).
% 2.00/2.07 cnf(1099,plain,
% 2.00/2.07 (~P2(f10(a23,a26))),
% 2.00/2.07 inference(scs_inference,[],[65,39,40,37,977,64,68,86,105,108,85])).
% 2.00/2.07 cnf(1143,plain,
% 2.00/2.07 ($false),
% 2.00/2.07 inference(scs_inference,[],[36,38,40,118,1099,1078,29,100,95,104,86]),
% 2.00/2.07 ['proof']).
% 2.00/2.07 % SZS output end Proof
% 2.00/2.07 % Total time :1.420000s
%------------------------------------------------------------------------------