TSTP Solution File: RNG072+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG072+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 13:48:02 EDT 2023
% Result : Theorem 1.97s 2.11s
% Output : CNFRefutation 1.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG072+2 : 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
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 01:50:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 1.97/2.09 %-------------------------------------------
% 1.97/2.09 % File :CSE---1.6
% 1.97/2.09 % Problem :theBenchmark
% 1.97/2.09 % Transform :cnf
% 1.97/2.09 % Format :tptp:raw
% 1.97/2.09 % Command :java -jar mcs_scs.jar %d %s
% 1.97/2.09
% 1.97/2.09 % Result :Theorem 1.460000s
% 1.97/2.09 % Output :CNFRefutation 1.460000s
% 1.97/2.09 %-------------------------------------------
% 1.97/2.09 %------------------------------------------------------------------------------
% 1.97/2.09 % File : RNG072+2 : TPTP v8.1.2. Released v4.0.0.
% 1.97/2.09 % Domain : Ring Theory
% 1.97/2.09 % Problem : Cauchy-Bouniakowsky-Schwarz inequality 05_16_06, 01 expansion
% 1.97/2.09 % Version : Especial.
% 1.97/2.09 % English :
% 1.97/2.09
% 1.97/2.09 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 1.97/2.09 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 1.97/2.09 % Source : [Pas08]
% 1.97/2.09 % Names : cauchy_05_16_06.01 [Pas08]
% 1.97/2.09
% 1.97/2.09 % Status : Theorem
% 1.97/2.09 % 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, 0.26 v5.5.0, 0.30 v5.4.0, 0.36 v5.3.0, 0.41 v5.2.0, 0.40 v5.1.0, 0.48 v5.0.0, 0.54 v4.1.0, 0.61 v4.0.1, 0.87 v4.0.0
% 1.97/2.09 % Syntax : Number of formulae : 63 ( 11 unt; 1 def)
% 1.97/2.09 % Number of atoms : 201 ( 61 equ)
% 1.97/2.09 % Maximal formula atoms : 9 ( 3 avg)
% 1.97/2.09 % Number of connectives : 145 ( 7 ~; 1 |; 81 &)
% 1.97/2.09 % ( 1 <=>; 55 =>; 0 <=; 0 <~>)
% 1.97/2.09 % Maximal formula depth : 10 ( 4 avg)
% 1.97/2.09 % Maximal term depth : 5 ( 1 avg)
% 1.97/2.09 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 1.97/2.09 % Number of functors : 26 ( 26 usr; 18 con; 0-2 aty)
% 1.97/2.09 % Number of variables : 73 ( 72 !; 1 ?)
% 1.97/2.09 % SPC : FOF_THM_RFO_SEQ
% 1.97/2.09
% 1.97/2.09 % Comments : Problem generated by the SAD system [VLP07]
% 1.97/2.09 %------------------------------------------------------------------------------
% 1.97/2.09 fof(mNatSort,axiom,
% 1.97/2.09 ! [W0] :
% 1.97/2.09 ( aNaturalNumber0(W0)
% 1.97/2.09 => $true ) ).
% 1.97/2.09
% 1.97/2.09 fof(mZeroNat,axiom,
% 1.97/2.09 aNaturalNumber0(sz00) ).
% 1.97/2.09
% 1.97/2.09 fof(mSuccNat,axiom,
% 1.97/2.09 ! [W0] :
% 1.97/2.09 ( aNaturalNumber0(W0)
% 1.97/2.09 => ( aNaturalNumber0(szszuzczcdt0(W0))
% 1.97/2.09 & szszuzczcdt0(W0) != sz00 ) ) ).
% 1.97/2.09
% 1.97/2.09 fof(mNatExtr,axiom,
% 1.97/2.09 ! [W0] :
% 1.97/2.09 ( ( aNaturalNumber0(W0)
% 1.97/2.09 & W0 != sz00 )
% 1.97/2.09 => ? [W1] :
% 1.97/2.09 ( aNaturalNumber0(W1)
% 1.97/2.09 & W0 = szszuzczcdt0(W1) ) ) ).
% 1.97/2.09
% 1.97/2.09 fof(mSuccEqu,axiom,
% 1.97/2.09 ! [W0,W1] :
% 1.97/2.09 ( ( aNaturalNumber0(W0)
% 1.97/2.09 & aNaturalNumber0(W1) )
% 1.97/2.09 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 1.97/2.09 => W0 = W1 ) ) ).
% 1.97/2.09
% 1.97/2.09 fof(mIHOrd,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aNaturalNumber0(W0)
% 1.97/2.10 & aNaturalNumber0(W1) )
% 1.97/2.10 => ( iLess0(W0,W1)
% 1.97/2.10 => $true ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mIH,axiom,
% 1.97/2.10 ! [W0] :
% 1.97/2.10 ( aNaturalNumber0(W0)
% 1.97/2.10 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mScSort,axiom,
% 1.97/2.10 ! [W0] :
% 1.97/2.10 ( aScalar0(W0)
% 1.97/2.10 => $true ) ).
% 1.97/2.10
% 1.97/2.10 fof(mSZeroSc,axiom,
% 1.97/2.10 aScalar0(sz0z00) ).
% 1.97/2.10
% 1.97/2.10 fof(mSumSc,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1) )
% 1.97/2.10 => aScalar0(sdtpldt0(W0,W1)) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mMulSc,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1) )
% 1.97/2.10 => aScalar0(sdtasdt0(W0,W1)) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mNegSc,axiom,
% 1.97/2.10 ! [W0] :
% 1.97/2.10 ( aScalar0(W0)
% 1.97/2.10 => aScalar0(smndt0(W0)) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mScZero,axiom,
% 1.97/2.10 ! [W0] :
% 1.97/2.10 ( aScalar0(W0)
% 1.97/2.10 => ( sdtpldt0(W0,sz0z00) = W0
% 1.97/2.10 & sdtpldt0(sz0z00,W0) = W0
% 1.97/2.10 & sdtasdt0(W0,sz0z00) = sz0z00
% 1.97/2.10 & sdtasdt0(sz0z00,W0) = sz0z00
% 1.97/2.10 & sdtpldt0(W0,smndt0(W0)) = sz0z00
% 1.97/2.10 & sdtpldt0(smndt0(W0),W0) = sz0z00
% 1.97/2.10 & smndt0(smndt0(W0)) = W0
% 1.97/2.10 & smndt0(sz0z00) = sz0z00 ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mArith,axiom,
% 1.97/2.10 ! [W0,W1,W2] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1)
% 1.97/2.10 & aScalar0(W2) )
% 1.97/2.10 => ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
% 1.97/2.10 & sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
% 1.97/2.10 & sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
% 1.97/2.10 & sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mDistr,axiom,
% 1.97/2.10 ! [W0,W1,W2] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1)
% 1.97/2.10 & aScalar0(W2) )
% 1.97/2.10 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 1.97/2.10 & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mDistr2,axiom,
% 1.97/2.10 ! [W0,W1,W2,W3] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1)
% 1.97/2.10 & aScalar0(W2)
% 1.97/2.10 & aScalar0(W3) )
% 1.97/2.10 => sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mMNeg,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1) )
% 1.97/2.10 => ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
% 1.97/2.10 & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mMDNeg,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1) )
% 1.97/2.10 => sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mLess,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1) )
% 1.97/2.10 => ( sdtlseqdt0(W0,W1)
% 1.97/2.10 => $true ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mLERef,axiom,
% 1.97/2.10 ! [W0] :
% 1.97/2.10 ( aScalar0(W0)
% 1.97/2.10 => sdtlseqdt0(W0,W0) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mLEASm,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1) )
% 1.97/2.10 => ( ( sdtlseqdt0(W0,W1)
% 1.97/2.10 & sdtlseqdt0(W1,W0) )
% 1.97/2.10 => W0 = W1 ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mLETrn,axiom,
% 1.97/2.10 ! [W0,W1,W2] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1)
% 1.97/2.10 & aScalar0(W2) )
% 1.97/2.10 => ( ( sdtlseqdt0(W0,W1)
% 1.97/2.10 & sdtlseqdt0(W1,W2) )
% 1.97/2.10 => sdtlseqdt0(W0,W2) ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mLEMon,axiom,
% 1.97/2.10 ! [W0,W1,W2,W3] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1)
% 1.97/2.10 & aScalar0(W2)
% 1.97/2.10 & aScalar0(W3) )
% 1.97/2.10 => ( ( sdtlseqdt0(W0,W1)
% 1.97/2.10 & sdtlseqdt0(W2,W3) )
% 1.97/2.10 => sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mLEMonM,axiom,
% 1.97/2.10 ! [W0,W1,W2,W3] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1)
% 1.97/2.10 & aScalar0(W2)
% 1.97/2.10 & aScalar0(W3) )
% 1.97/2.10 => ( ( sdtlseqdt0(W0,W1)
% 1.97/2.10 & sdtlseqdt0(sz0z00,W2)
% 1.97/2.10 & sdtlseqdt0(W2,W3) )
% 1.97/2.10 => sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mLETot,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1) )
% 1.97/2.10 => ( sdtlseqdt0(W0,W1)
% 1.97/2.10 | sdtlseqdt0(W1,W0) ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mPosMon,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1) )
% 1.97/2.10 => ( ( sdtlseqdt0(sz0z00,W0)
% 1.97/2.10 & sdtlseqdt0(sz0z00,W1) )
% 1.97/2.10 => ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))
% 1.97/2.10 & sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mSqPos,axiom,
% 1.97/2.10 ! [W0] :
% 1.97/2.10 ( aScalar0(W0)
% 1.97/2.10 => sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mSqrt,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aScalar0(W0)
% 1.97/2.10 & aScalar0(W1) )
% 1.97/2.10 => ( ( sdtlseqdt0(sz0z00,W0)
% 1.97/2.10 & sdtlseqdt0(sz0z00,W1)
% 1.97/2.10 & sdtasdt0(W0,W0) = sdtasdt0(W1,W1) )
% 1.97/2.10 => W0 = W1 ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mVcSort,axiom,
% 1.97/2.10 ! [W0] :
% 1.97/2.10 ( aVector0(W0)
% 1.97/2.10 => $true ) ).
% 1.97/2.10
% 1.97/2.10 fof(mDimNat,axiom,
% 1.97/2.10 ! [W0] :
% 1.97/2.10 ( aVector0(W0)
% 1.97/2.10 => aNaturalNumber0(aDimensionOf0(W0)) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mElmSc,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aVector0(W0)
% 1.97/2.10 & aNaturalNumber0(W1) )
% 1.97/2.10 => aScalar0(sdtlbdtrb0(W0,W1)) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mDefInit,definition,
% 1.97/2.10 ! [W0] :
% 1.97/2.10 ( aVector0(W0)
% 1.97/2.10 => ( aDimensionOf0(W0) != sz00
% 1.97/2.10 => ! [W1] :
% 1.97/2.10 ( W1 = sziznziztdt0(W0)
% 1.97/2.10 <=> ( aVector0(W1)
% 1.97/2.10 & szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)
% 1.97/2.10 & ! [W2] :
% 1.97/2.10 ( aNaturalNumber0(W2)
% 1.97/2.10 => sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mEqInit,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aVector0(W0)
% 1.97/2.10 & aVector0(W1) )
% 1.97/2.10 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 1.97/2.10 & aDimensionOf0(W1) != sz00 )
% 1.97/2.10 => aDimensionOf0(sziznziztdt0(W0)) = aDimensionOf0(sziznziztdt0(W1)) ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mScPr,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aVector0(W0)
% 1.97/2.10 & aVector0(W1) )
% 1.97/2.10 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 1.97/2.10 => aScalar0(sdtasasdt0(W0,W1)) ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mDefSPZ,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aVector0(W0)
% 1.97/2.10 & aVector0(W1) )
% 1.97/2.10 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 1.97/2.10 & aDimensionOf0(W1) = sz00 )
% 1.97/2.10 => sdtasasdt0(W0,W1) = sz0z00 ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mDefSPN,axiom,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aVector0(W0)
% 1.97/2.10 & aVector0(W1) )
% 1.97/2.10 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 1.97/2.10 & aDimensionOf0(W1) != sz00 )
% 1.97/2.10 => sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))) ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(mScSqPos,axiom,
% 1.97/2.10 ! [W0] :
% 1.97/2.10 ( aVector0(W0)
% 1.97/2.10 => sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ) ).
% 1.97/2.10
% 1.97/2.10 fof(m__1678,hypothesis,
% 1.97/2.10 ( aVector0(xs)
% 1.97/2.10 & aVector0(xt) ) ).
% 1.97/2.10
% 1.97/2.10 fof(m__1652,hypothesis,
% 1.97/2.10 ! [W0,W1] :
% 1.97/2.10 ( ( aVector0(W0)
% 1.97/2.10 & aVector0(W1) )
% 1.97/2.10 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 1.97/2.10 => ( iLess0(aDimensionOf0(W0),aDimensionOf0(xs))
% 1.97/2.10 => sdtlseqdt0(sdtasdt0(sdtasasdt0(W0,W1),sdtasasdt0(W0,W1)),sdtasdt0(sdtasasdt0(W0,W0),sdtasasdt0(W1,W1))) ) ) ) ).
% 1.97/2.10
% 1.97/2.10 fof(m__1678_01,hypothesis,
% 1.97/2.10 aDimensionOf0(xs) = aDimensionOf0(xt) ).
% 1.97/2.10
% 1.97/2.10 fof(m__1692,hypothesis,
% 1.97/2.10 aDimensionOf0(xs) != sz00 ).
% 1.97/2.10
% 1.97/2.10 fof(m__1709,hypothesis,
% 1.97/2.10 ( aVector0(xp)
% 1.97/2.10 & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
% 1.97/2.10 & ! [W0] :
% 1.97/2.10 ( aNaturalNumber0(W0)
% 1.97/2.10 => sdtlbdtrb0(xp,W0) = sdtlbdtrb0(xs,W0) )
% 1.97/2.11 & xp = sziznziztdt0(xs) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1726,hypothesis,
% 1.97/2.11 ( aVector0(xq)
% 1.97/2.11 & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
% 1.97/2.11 & ! [W0] :
% 1.97/2.11 ( aNaturalNumber0(W0)
% 1.97/2.11 => sdtlbdtrb0(xq,W0) = sdtlbdtrb0(xt,W0) )
% 1.97/2.11 & xq = sziznziztdt0(xt) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1746,hypothesis,
% 1.97/2.11 ( aScalar0(xA)
% 1.97/2.11 & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1766,hypothesis,
% 1.97/2.11 ( aScalar0(xB)
% 1.97/2.11 & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1783,hypothesis,
% 1.97/2.11 ( aScalar0(xC)
% 1.97/2.11 & xC = sdtasasdt0(xp,xp) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1800,hypothesis,
% 1.97/2.11 ( aScalar0(xD)
% 1.97/2.11 & xD = sdtasasdt0(xq,xq) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1820,hypothesis,
% 1.97/2.11 ( aScalar0(xE)
% 1.97/2.11 & xE = sdtasasdt0(xp,xq) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1837,hypothesis,
% 1.97/2.11 ( aScalar0(xF)
% 1.97/2.11 & xF = sdtasdt0(xA,xA) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1854,hypothesis,
% 1.97/2.11 ( aScalar0(xG)
% 1.97/2.11 & xG = sdtasdt0(xB,xB) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1873,hypothesis,
% 1.97/2.11 ( aScalar0(xH)
% 1.97/2.11 & xH = sdtasdt0(xA,xB) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1892,hypothesis,
% 1.97/2.11 ( aScalar0(xR)
% 1.97/2.11 & xR = sdtasdt0(xC,xG) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1911,hypothesis,
% 1.97/2.11 ( aScalar0(xP)
% 1.97/2.11 & xP = sdtasdt0(xE,xH) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1930,hypothesis,
% 1.97/2.11 ( aScalar0(xS)
% 1.97/2.11 & xS = sdtasdt0(xF,xD) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1949,hypothesis,
% 1.97/2.11 ( aScalar0(xN)
% 1.97/2.11 & xN = sdtasdt0(xR,xS) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__1967,hypothesis,
% 1.97/2.11 sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ).
% 1.97/2.11
% 1.97/2.11 fof(m__2004,hypothesis,
% 1.97/2.11 sdtlseqdt0(sdtasdt0(xP,xP),xN) ).
% 1.97/2.11
% 1.97/2.11 fof(m__2104,hypothesis,
% 1.97/2.11 sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ).
% 1.97/2.11
% 1.97/2.11 fof(m__2405,hypothesis,
% 1.97/2.11 sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ).
% 1.97/2.11
% 1.97/2.11 fof(m__2590,hypothesis,
% 1.97/2.11 ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ).
% 1.97/2.11
% 1.97/2.11 fof(m__2610,hypothesis,
% 1.97/2.11 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ).
% 1.97/2.11
% 1.97/2.11 fof(m__2628,hypothesis,
% 1.97/2.11 ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
% 1.97/2.11 & sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ) ).
% 1.97/2.11
% 1.97/2.11 fof(m__,conjecture,
% 1.97/2.11 sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ).
% 1.97/2.11
% 1.97/2.11 %------------------------------------------------------------------------------
% 1.97/2.11 %-------------------------------------------
% 1.97/2.11 % Proof found
% 1.97/2.11 % SZS status Theorem for theBenchmark
% 1.97/2.11 % SZS output start Proof
% 1.97/2.11 %ClaNum:122(EqnAxiom:25)
% 1.97/2.11 %VarNum:315(SingletonVarNum:98)
% 1.97/2.11 %MaxLitNum:8
% 1.97/2.11 %MaxfuncDepth:4
% 1.97/2.11 %SharedTerms:96
% 1.97/2.11 %goalClause: 70
% 1.97/2.11 %singleGoalClaCount:1
% 1.97/2.11 [28]P1(a3)
% 1.97/2.11 [29]P2(a12)
% 1.97/2.11 [30]P2(a14)
% 1.97/2.11 [31]P2(a16)
% 1.97/2.11 [32]P2(a17)
% 1.97/2.11 [33]P2(a18)
% 1.97/2.11 [34]P2(a19)
% 1.97/2.11 [35]P2(a20)
% 1.97/2.11 [36]P2(a21)
% 1.97/2.11 [37]P2(a22)
% 1.97/2.11 [38]P2(a23)
% 1.97/2.11 [39]P2(a24)
% 1.97/2.11 [40]P2(a26)
% 1.97/2.11 [41]P2(a25)
% 1.97/2.11 [42]P3(a1)
% 1.97/2.11 [43]P3(a28)
% 1.97/2.11 [44]P3(a13)
% 1.97/2.11 [45]P3(a27)
% 1.97/2.11 [26]E(f2(a1),a13)
% 1.97/2.11 [27]E(f2(a28),a27)
% 1.97/2.11 [46]E(f4(a28),f4(a1))
% 1.97/2.11 [49]E(f5(a13,a13),a17)
% 1.97/2.11 [50]E(f5(a27,a27),a18)
% 1.97/2.11 [51]E(f5(a13,a27),a19)
% 1.97/2.11 [52]E(f8(a14,a14),a20)
% 1.97/2.11 [53]E(f8(a16,a16),a21)
% 1.97/2.11 [54]E(f8(a14,a16),a22)
% 1.97/2.11 [55]E(f8(a17,a21),a23)
% 1.97/2.11 [56]E(f8(a19,a22),a24)
% 1.97/2.11 [57]E(f8(a20,a18),a26)
% 1.97/2.11 [58]E(f8(a23,a26),a25)
% 1.97/2.11 [61]P4(a12,f10(a23,a26))
% 1.97/2.11 [62]P4(a12,f10(a24,a24))
% 1.97/2.11 [63]P4(f8(a24,a24),a25)
% 1.97/2.11 [64]P4(f10(a23,a26),f10(a24,a24))
% 1.97/2.11 [65]P4(f8(a19,a19),f8(a17,a18))
% 1.97/2.11 [68]~E(f4(a1),a3)
% 1.97/2.11 [69]~P4(f10(a24,a24),f10(a23,a26))
% 1.97/2.11 [47]E(f15(f4(a13)),f4(a1))
% 1.97/2.11 [48]E(f15(f4(a27)),f4(a28))
% 1.97/2.11 [59]E(f9(a1,f4(a1)),a14)
% 1.97/2.11 [60]E(f9(a28,f4(a28)),a16)
% 1.97/2.11 [66]P4(f10(f8(a24,a24),f8(a24,a24)),f10(f8(a23,a23),f8(a26,a26)))
% 1.97/2.11 [67]P4(f8(f10(a24,a24),f10(a24,a24)),f8(f10(a23,a26),f10(a23,a26)))
% 1.97/2.11 [70]~P4(f8(f10(a23,a26),f10(a23,a26)),f8(f10(a24,a24),f10(a24,a24)))
% 1.97/2.11 [83]~P2(x831)+P4(x831,x831)
% 1.97/2.11 [71]~P2(x711)+E(f11(a12),a12)
% 1.97/2.11 [72]~P1(x721)+~E(f15(x721),a3)
% 1.97/2.11 [73]~P1(x731)+P1(f15(x731))
% 1.97/2.11 [74]~P3(x741)+P1(f4(x741))
% 1.97/2.11 [75]~P2(x751)+P2(f11(x751))
% 1.97/2.11 [78]~P2(x781)+E(f8(x781,a12),a12)
% 1.97/2.11 [79]~P2(x791)+E(f8(a12,x791),a12)
% 1.97/2.11 [81]~P2(x811)+E(f10(x811,a12),x811)
% 1.97/2.11 [82]~P2(x821)+E(f10(a12,x821),x821)
% 1.97/2.11 [87]~P1(x871)+P5(x871,f15(x871))
% 1.97/2.11 [89]~P1(x891)+E(f9(a13,x891),f9(a1,x891))
% 1.97/2.11 [90]~P1(x901)+E(f9(a28,x901),f9(a27,x901))
% 1.97/2.11 [96]~P2(x961)+P4(a12,f8(x961,x961))
% 1.97/2.11 [97]~P3(x971)+P4(a12,f5(x971,x971))
% 1.97/2.11 [76]~P2(x761)+E(f11(f11(x761)),x761)
% 1.97/2.11 [85]~P2(x851)+E(f10(x851,f11(x851)),a12)
% 1.97/2.11 [86]~P2(x861)+E(f10(f11(x861),x861),a12)
% 1.97/2.11 [77]~P1(x771)+E(x771,a3)+P1(f6(x771))
% 1.97/2.11 [80]~P1(x801)+E(x801,a3)+E(f15(f6(x801)),x801)
% 1.97/2.11 [93]~P2(x932)+~P2(x931)+P2(f10(x931,x932))
% 1.97/2.11 [94]~P2(x942)+~P2(x941)+P2(f8(x941,x942))
% 1.97/2.11 [95]~P1(x952)+~P3(x951)+P2(f9(x951,x952))
% 1.97/2.11 [102]~P2(x1022)+~P2(x1021)+E(f8(f11(x1021),f11(x1022)),f8(x1021,x1022))
% 1.97/2.11 [106]~P2(x1062)+~P2(x1061)+E(f11(f8(x1061,x1062)),f8(x1061,f11(x1062)))
% 1.97/2.11 [107]~P2(x1072)+~P2(x1071)+E(f11(f8(x1071,x1072)),f8(f11(x1071),x1072))
% 1.97/2.11 [92]P4(x922,x921)+~P2(x921)+~P2(x922)+P4(x921,x922)
% 1.97/2.11 [84]~P3(x841)+P3(x842)+~E(x842,f2(x841))+E(f4(x841),a3)
% 1.97/2.11 [88]~P1(x882)+~P1(x881)+E(x881,x882)+~E(f15(x881),f15(x882))
% 1.97/2.11 [104]~P3(x1042)+~P3(x1041)+~E(f4(x1041),f4(x1042))+P2(f5(x1041,x1042))
% 1.97/2.11 [91]~P3(x911)+~E(x912,f2(x911))+E(f4(x911),a3)+E(f15(f4(x912)),f4(x911))
% 1.97/2.11 [99]~P2(x992)+~P2(x991)+~P2(x993)+E(f10(x991,x992),f10(x992,x991))
% 1.97/2.11 [100]~P2(x1002)+~P2(x1001)+~P2(x1003)+E(f8(x1001,x1002),f8(x1002,x1001))
% 1.97/2.11 [112]~P2(x1123)+~P2(x1122)+~P2(x1121)+E(f10(f10(x1121,x1122),x1123),f10(x1121,f10(x1122,x1123)))
% 1.97/2.11 [113]~P2(x1133)+~P2(x1132)+~P2(x1131)+E(f8(f8(x1131,x1132),x1133),f8(x1131,f8(x1132,x1133)))
% 1.97/2.11 [115]~P2(x1153)+~P2(x1152)+~P2(x1151)+E(f10(f8(x1151,x1152),f8(x1151,x1153)),f8(x1151,f10(x1152,x1153)))
% 1.97/2.11 [116]~P2(x1162)+~P2(x1163)+~P2(x1161)+E(f10(f8(x1161,x1162),f8(x1163,x1162)),f8(f10(x1161,x1163),x1162))
% 1.97/2.11 [105]~P2(x1052)+~P2(x1051)+~P4(x1052,x1051)+~P4(x1051,x1052)+E(x1051,x1052)
% 1.97/2.11 [98]~P3(x982)+~P3(x981)+~E(f4(x981),f4(x982))+~E(f4(x982),a3)+E(f5(x981,x982),a12)
% 1.97/2.11 [110]~P2(x1102)+~P2(x1101)+~P4(a12,x1102)+~P4(a12,x1101)+P4(a12,f10(x1101,x1102))
% 1.97/2.11 [111]~P2(x1112)+~P2(x1111)+~P4(a12,x1112)+~P4(a12,x1111)+P4(a12,f8(x1111,x1112))
% 1.97/2.11 [101]~P3(x1011)+~P3(x1012)+~E(f4(x1012),f4(x1011))+E(f4(x1011),a3)+E(f4(f2(x1012)),f4(f2(x1011)))
% 1.97/2.11 [121]~P3(x1212)+~P3(x1211)+~E(f4(x1211),f4(x1212))+~P5(f4(x1211),f4(a1))+P4(f8(f5(x1211,x1212),f5(x1211,x1212)),f8(f5(x1211,x1211),f5(x1212,x1212)))
% 1.97/2.11 [120]~P3(x1201)+~P3(x1202)+~E(f4(x1202),f4(x1201))+E(f4(x1201),a3)+E(f10(f5(f2(x1202),f2(x1201)),f8(f9(x1202,f4(x1202)),f9(x1201,f4(x1201)))),f5(x1202,x1201))
% 1.97/2.11 [103]~P1(x1033)+~P3(x1031)+~E(x1032,f2(x1031))+E(f9(x1032,x1033),f9(x1031,x1033))+E(f4(x1031),a3)
% 1.97/2.11 [122]~P2(x1223)+~P2(x1222)+~P2(x1224)+~P2(x1221)+E(f10(f10(f8(x1221,x1222),f8(x1221,x1223)),f10(f8(x1224,x1222),f8(x1224,x1223))),f8(f10(x1221,x1224),f10(x1222,x1223)))
% 1.97/2.11 [114]~P2(x1142)+~P2(x1141)+E(x1141,x1142)+~E(f8(x1141,x1141),f8(x1142,x1142))+~P4(a12,x1142)+~P4(a12,x1141)
% 1.97/2.11 [108]~P3(x1081)+~P3(x1082)+E(x1081,f2(x1082))+E(f4(x1082),a3)+P1(f7(x1082,x1081))+~E(f15(f4(x1081)),f4(x1082))
% 1.97/2.11 [119]~P3(x1192)+~P3(x1191)+E(x1191,f2(x1192))+E(f4(x1192),a3)+~E(f15(f4(x1191)),f4(x1192))+~E(f9(x1191,f7(x1192,x1191)),f9(x1192,f7(x1192,x1191)))
% 1.97/2.11 [109]~P2(x1092)+~P2(x1091)+~P4(x1093,x1092)+~P4(x1091,x1093)+P4(x1091,x1092)+~P2(x1093)
% 1.97/2.11 [117]~P2(x1174)+~P2(x1172)+~P2(x1173)+~P2(x1171)+~P4(x1172,x1174)+~P4(x1171,x1173)+P4(f10(x1171,x1172),f10(x1173,x1174))
% 1.97/2.11 [118]~P2(x1184)+~P2(x1182)+~P2(x1183)+~P2(x1181)+~P4(x1182,x1184)+~P4(x1181,x1183)+~P4(a12,x1182)+P4(f8(x1181,x1182),f8(x1183,x1184))
% 1.97/2.11 %EqnAxiom
% 1.97/2.11 [1]E(x11,x11)
% 1.97/2.11 [2]E(x22,x21)+~E(x21,x22)
% 1.97/2.11 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.97/2.11 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 1.97/2.11 [5]~E(x51,x52)+E(f8(x51,x53),f8(x52,x53))
% 1.97/2.11 [6]~E(x61,x62)+E(f8(x63,x61),f8(x63,x62))
% 1.97/2.11 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 1.97/2.11 [8]~E(x81,x82)+E(f10(x81,x83),f10(x82,x83))
% 1.97/2.11 [9]~E(x91,x92)+E(f10(x93,x91),f10(x93,x92))
% 1.97/2.11 [10]~E(x101,x102)+E(f15(x101),f15(x102))
% 1.97/2.11 [11]~E(x111,x112)+E(f11(x111),f11(x112))
% 1.97/2.11 [12]~E(x121,x122)+E(f7(x121,x123),f7(x122,x123))
% 1.97/2.11 [13]~E(x131,x132)+E(f7(x133,x131),f7(x133,x132))
% 1.97/2.11 [14]~E(x141,x142)+E(f5(x141,x143),f5(x142,x143))
% 1.97/2.11 [15]~E(x151,x152)+E(f5(x153,x151),f5(x153,x152))
% 1.97/2.11 [16]~E(x161,x162)+E(f9(x161,x163),f9(x162,x163))
% 1.97/2.11 [17]~E(x171,x172)+E(f9(x173,x171),f9(x173,x172))
% 1.97/2.11 [18]~E(x181,x182)+E(f6(x181),f6(x182))
% 1.97/2.11 [19]~P1(x191)+P1(x192)+~E(x191,x192)
% 1.97/2.11 [20]~P2(x201)+P2(x202)+~E(x201,x202)
% 1.97/2.11 [21]P4(x212,x213)+~E(x211,x212)+~P4(x211,x213)
% 1.97/2.11 [22]P4(x223,x222)+~E(x221,x222)+~P4(x223,x221)
% 1.97/2.11 [23]~P3(x231)+P3(x232)+~E(x231,x232)
% 1.97/2.11 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243)
% 1.97/2.11 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251)
% 1.97/2.11
% 1.97/2.11 %-------------------------------------------
% 1.97/2.11 cnf(123,plain,
% 1.97/2.11 (E(a13,f2(a1))),
% 1.97/2.11 inference(scs_inference,[],[26,2])).
% 1.97/2.11 cnf(124,plain,
% 1.97/2.11 (P3(f2(a1))),
% 1.97/2.11 inference(scs_inference,[],[44,26,2,23])).
% 1.97/2.11 cnf(125,plain,
% 1.97/2.11 (~E(a12,f10(a24,a24))),
% 1.97/2.11 inference(scs_inference,[],[44,26,61,69,2,23,21])).
% 1.97/2.11 cnf(126,plain,
% 1.97/2.11 (E(f15(f4(a27)),f4(a1))),
% 1.97/2.11 inference(scs_inference,[],[44,26,61,69,46,48,2,23,21,3])).
% 1.97/2.11 cnf(127,plain,
% 1.97/2.11 (P4(a12,a12)),
% 1.97/2.11 inference(scs_inference,[],[29,44,26,61,69,46,48,2,23,21,3,92])).
% 1.97/2.11 cnf(129,plain,
% 1.97/2.11 (E(f9(a13,a3),f9(a1,a3))),
% 1.97/2.11 inference(scs_inference,[],[28,29,42,44,26,61,68,69,46,48,2,23,21,3,92,103])).
% 1.97/2.11 cnf(131,plain,
% 1.97/2.11 (E(f4(f2(a28)),f4(f2(a1)))),
% 1.97/2.11 inference(scs_inference,[],[28,29,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101])).
% 1.97/2.11 cnf(133,plain,
% 1.97/2.11 (P4(f8(a12,a12),f8(a12,a12))),
% 1.97/2.11 inference(scs_inference,[],[28,29,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118])).
% 1.97/2.11 cnf(135,plain,
% 1.97/2.11 (P4(a14,a14)),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83])).
% 1.97/2.11 cnf(141,plain,
% 1.97/2.11 (E(f10(a12,a12),a12)),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82])).
% 1.97/2.11 cnf(145,plain,
% 1.97/2.11 (E(f8(a12,a12),a12)),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79])).
% 1.97/2.11 cnf(149,plain,
% 1.97/2.11 (E(f11(f11(a12)),a12)),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76])).
% 1.97/2.11 cnf(153,plain,
% 1.97/2.11 (P1(f4(a1))),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74])).
% 1.97/2.11 cnf(155,plain,
% 1.97/2.11 (P1(f15(a3))),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73])).
% 1.97/2.11 cnf(157,plain,
% 1.97/2.11 (~E(f15(a3),a3)),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72])).
% 1.97/2.11 cnf(160,plain,
% 1.97/2.11 (E(f9(x1601,f2(a1)),f9(x1601,a13))),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17])).
% 1.97/2.11 cnf(161,plain,
% 1.97/2.11 (E(f9(f2(a1),x1611),f9(a13,x1611))),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16])).
% 1.97/2.11 cnf(162,plain,
% 1.97/2.11 (E(f5(x1621,f2(a1)),f5(x1621,a13))),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15])).
% 1.97/2.11 cnf(170,plain,
% 1.97/2.11 (E(f4(f2(a1)),f4(a13))),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7])).
% 1.97/2.11 cnf(173,plain,
% 1.97/2.11 (E(f2(f2(a1)),f2(a13))),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 1.97/2.11 cnf(176,plain,
% 1.97/2.11 (P4(a12,f8(a12,a12))),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,97,96])).
% 1.97/2.11 cnf(180,plain,
% 1.97/2.11 (E(f9(a13,f4(a1)),f9(a1,f4(a1)))),
% 1.97/2.11 inference(scs_inference,[],[28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,97,96,90,89])).
% 1.97/2.11 cnf(187,plain,
% 1.97/2.11 (P2(f9(a1,a3))),
% 1.97/2.11 inference(scs_inference,[],[70,28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,97,96,90,89,86,85,22,95])).
% 1.97/2.11 cnf(189,plain,
% 1.97/2.11 (P2(f8(a12,a12))),
% 1.97/2.11 inference(scs_inference,[],[70,28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,97,96,90,89,86,85,22,95,94])).
% 1.97/2.11 cnf(191,plain,
% 1.97/2.11 (P2(f10(a12,a12))),
% 1.97/2.11 inference(scs_inference,[],[70,28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,97,96,90,89,86,85,22,95,94,93])).
% 1.97/2.11 cnf(195,plain,
% 1.97/2.11 (P1(f6(f4(a1)))),
% 1.97/2.11 inference(scs_inference,[],[70,28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,97,96,90,89,86,85,22,95,94,93,80,77])).
% 1.97/2.11 cnf(201,plain,
% 1.97/2.11 (E(f8(f11(a12),f11(a12)),f8(a12,a12))),
% 1.97/2.11 inference(scs_inference,[],[70,28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,97,96,90,89,86,85,22,95,94,93,80,77,107,106,102])).
% 1.97/2.11 cnf(203,plain,
% 1.97/2.11 (~E(f15(f4(a1)),f15(a3))),
% 1.97/2.11 inference(scs_inference,[],[70,28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,97,96,90,89,86,85,22,95,94,93,80,77,107,106,102,88])).
% 1.97/2.11 cnf(205,plain,
% 1.97/2.11 (E(f8(f8(a12,a12),a12),f8(a12,f8(a12,a12)))),
% 1.97/2.11 inference(scs_inference,[],[70,28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,97,96,90,89,86,85,22,95,94,93,80,77,107,106,102,88,113])).
% 1.97/2.11 cnf(207,plain,
% 1.97/2.11 (E(f10(f10(a12,a12),a12),f10(a12,f10(a12,a12)))),
% 1.97/2.11 inference(scs_inference,[],[70,28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,97,96,90,89,86,85,22,95,94,93,80,77,107,106,102,88,113,112])).
% 1.97/2.11 cnf(215,plain,
% 1.97/2.11 (P4(a12,f8(f8(a12,a12),f8(a12,a12)))),
% 1.97/2.11 inference(scs_inference,[],[70,28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,97,96,90,89,86,85,22,95,94,93,80,77,107,106,102,88,113,112,116,115,104,111])).
% 1.97/2.11 cnf(217,plain,
% 1.97/2.11 (P4(a12,f10(a12,a12))),
% 1.97/2.11 inference(scs_inference,[],[70,28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,97,96,90,89,86,85,22,95,94,93,80,77,107,106,102,88,113,112,116,115,104,111,110])).
% 1.97/2.11 cnf(223,plain,
% 1.97/2.11 (P4(f10(a12,a12),f10(a12,a12))),
% 1.97/2.11 inference(scs_inference,[],[70,28,29,30,42,43,44,26,61,68,69,46,48,2,23,21,3,92,103,101,118,83,71,87,82,81,79,78,76,75,74,73,72,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,97,96,90,89,86,85,22,95,94,93,80,77,107,106,102,88,113,112,116,115,104,111,110,122,120,117])).
% 1.97/2.11 cnf(239,plain,
% 1.97/2.11 (~P2(x2391)+~P2(x2392)+E(f10(x2392,x2391),f10(x2391,x2392))),
% 1.97/2.11 inference(scs_inference,[],[31,99])).
% 1.97/2.11 cnf(240,plain,
% 1.97/2.11 (~P2(x2401)+~P2(x2402)+E(f8(x2402,x2401),f8(x2401,x2402))),
% 1.97/2.11 inference(scs_inference,[],[31,100])).
% 1.97/2.11 cnf(243,plain,
% 1.97/2.11 (P1(f6(f15(a3)))),
% 1.97/2.11 inference(scs_inference,[],[45,28,155,157,95,77])).
% 1.97/2.11 cnf(255,plain,
% 1.97/2.11 (P4(f10(a12,a12),a12)),
% 1.97/2.11 inference(scs_inference,[],[31,45,28,223,141,155,157,95,77,107,106,102,113,116,22])).
% 1.97/2.11 cnf(260,plain,
% 1.97/2.11 (E(f15(f6(f15(a3))),f15(a3))),
% 1.97/2.11 inference(scs_inference,[],[31,45,28,223,141,155,157,95,77,107,106,102,113,116,22,94,93,80])).
% 1.97/2.11 cnf(268,plain,
% 1.97/2.11 (~E(f15(f4(a1)),f15(f6(f15(a3))))),
% 1.97/2.11 inference(scs_inference,[],[31,45,28,223,141,203,155,157,95,77,107,106,102,113,116,22,94,93,80,112,115,122,3])).
% 1.97/2.11 cnf(269,plain,
% 1.97/2.11 (~E(a3,f4(a1))),
% 1.97/2.11 inference(scs_inference,[],[31,45,28,68,223,141,203,155,157,95,77,107,106,102,113,116,22,94,93,80,112,115,122,3,2])).
% 1.97/2.11 cnf(296,plain,
% 1.97/2.11 (~E(a16,f10(a24,a24))+E(f9(x2961,a3),f9(a27,a3))+~E(x2961,f2(a27))+E(f4(a27),a3)),
% 1.97/2.11 inference(scs_inference,[],[31,45,62,30,28,68,29,223,189,191,127,176,141,203,155,217,125,157,135,95,77,107,106,102,113,116,22,94,93,80,112,115,122,3,2,20,240,239,114,88,105,111,110,117,118,10,108,119,109,103])).
% 1.97/2.11 cnf(307,plain,
% 1.97/2.11 (E(a12,f10(a12,a12))),
% 1.97/2.11 inference(scs_inference,[],[32,28,29,243,260,255,217,191,88,113,116,105])).
% 1.97/2.11 cnf(318,plain,
% 1.97/2.11 (P4(f8(a12,a12),a12)),
% 1.97/2.11 inference(scs_inference,[],[32,27,30,28,29,133,243,260,255,145,217,135,191,88,113,116,105,112,115,122,117,10,22])).
% 1.97/2.11 cnf(320,plain,
% 1.97/2.11 (E(a27,f2(a28))),
% 1.97/2.11 inference(scs_inference,[],[32,27,30,28,29,131,133,243,260,170,255,145,217,135,191,88,113,116,105,112,115,122,117,10,22,3,2])).
% 1.97/2.11 cnf(325,plain,
% 1.97/2.11 (P4(a17,a17)),
% 1.97/2.11 inference(scs_inference,[],[32,27,61,30,28,29,131,133,243,260,170,255,145,176,217,135,189,191,88,113,116,105,112,115,122,117,10,22,3,2,19,21,118,92])).
% 1.97/2.11 cnf(342,plain,
% 1.97/2.11 (P3(f2(a28))),
% 1.97/2.11 inference(scs_inference,[],[45,320,176,217,189,191,111,110,23])).
% 1.97/2.11 cnf(347,plain,
% 1.97/2.11 (P4(f8(f8(a12,a12),f8(a12,a12)),f8(f8(a12,a12),a12))),
% 1.97/2.11 inference(scs_inference,[],[33,45,28,29,153,318,269,320,176,133,217,189,191,111,110,23,88,122,118])).
% 1.97/2.11 cnf(349,plain,
% 1.97/2.11 (E(a12,f8(a12,a12))),
% 1.97/2.11 inference(scs_inference,[],[33,45,28,29,153,318,269,320,176,133,217,189,191,111,110,23,88,122,118,105])).
% 1.97/2.11 cnf(354,plain,
% 1.97/2.11 (~E(f15(f6(f15(a3))),f15(f4(a1)))),
% 1.97/2.11 inference(scs_inference,[],[33,49,45,28,29,162,268,153,318,269,320,176,133,217,189,191,111,110,23,88,122,118,105,10,3,2])).
% 1.97/2.11 cnf(368,plain,
% 1.97/2.11 (~E(f15(f15(a3)),f15(a3))),
% 1.97/2.11 inference(scs_inference,[],[28,155,157,88])).
% 1.97/2.11 cnf(373,plain,
% 1.97/2.11 (E(a18,f5(a27,a27))),
% 1.97/2.11 inference(scs_inference,[],[50,47,28,347,205,269,155,157,88,22,10,3,2])).
% 1.97/2.11 cnf(376,plain,
% 1.97/2.11 (P4(a12,f5(f2(a1),f2(a1)))),
% 1.97/2.11 inference(scs_inference,[],[50,47,124,28,347,195,205,269,155,157,88,22,10,3,2,73,97])).
% 1.97/2.11 cnf(388,plain,
% 1.97/2.11 (P5(f6(f4(a1)),f15(f6(f4(a1))))),
% 1.97/2.11 inference(scs_inference,[],[34,50,47,124,32,68,42,28,347,195,205,325,342,131,269,155,157,88,22,10,3,2,73,97,90,86,120,104,117,87])).
% 1.97/2.11 cnf(396,plain,
% 1.97/2.11 (P1(f4(f2(a1)))),
% 1.97/2.11 inference(scs_inference,[],[34,50,47,124,32,68,42,28,347,195,205,325,342,131,269,155,157,88,22,10,3,2,73,97,90,86,120,104,117,87,82,79,76,74])).
% 1.97/2.11 cnf(402,plain,
% 1.97/2.11 (E(f5(x4021,f2(a28)),f5(x4021,a27))),
% 1.97/2.11 inference(scs_inference,[],[27,34,50,47,124,32,68,42,28,347,195,205,325,342,131,269,155,157,88,22,10,3,2,73,97,90,86,120,104,117,87,82,79,76,74,72,18,16,15])).
% 1.97/2.11 cnf(406,plain,
% 1.97/2.11 (E(f4(f2(a28)),f4(a27))),
% 1.97/2.11 inference(scs_inference,[],[27,34,50,47,124,32,68,42,28,347,195,205,325,342,131,269,155,157,88,22,10,3,2,73,97,90,86,120,104,117,87,82,79,76,74,72,18,16,15,13,12,9,7])).
% 1.97/2.11 cnf(424,plain,
% 1.97/2.12 (P4(a20,a20)),
% 1.97/2.12 inference(scs_inference,[],[35,83])).
% 1.97/2.12 cnf(435,plain,
% 1.97/2.12 (E(f5(f2(a28),x4351),f5(a27,x4351))),
% 1.97/2.12 inference(scs_inference,[],[27,35,396,83,81,78,75,89,17,14])).
% 1.97/2.12 cnf(439,plain,
% 1.97/2.12 (E(f2(f2(a28)),f2(a27))),
% 1.97/2.12 inference(scs_inference,[],[27,35,396,83,81,78,75,89,17,14,11,8,5,4])).
% 1.97/2.12 cnf(441,plain,
% 1.97/2.12 (~E(f15(a3),f15(f15(a3)))),
% 1.97/2.12 inference(scs_inference,[],[27,35,354,396,368,83,81,78,75,89,17,14,11,8,5,4,10,2])).
% 1.97/2.12 cnf(449,plain,
% 1.97/2.12 (P4(f8(a12,f8(a12,a12)),f8(f8(a12,a12),a12))),
% 1.97/2.12 inference(scs_inference,[],[27,35,44,29,201,354,396,368,173,145,318,176,189,83,81,78,75,89,17,14,11,8,5,4,10,2,3,91,107,102,118])).
% 1.97/2.12 cnf(521,plain,
% 1.97/2.12 (P2(f5(a27,a27))),
% 1.97/2.12 inference(scs_inference,[],[37,33,373,116,94,113,93,112,20])).
% 1.97/2.12 cnf(524,plain,
% 1.97/2.12 (P4(a22,a22)),
% 1.97/2.12 inference(scs_inference,[],[37,33,373,116,94,113,93,112,20,115,92])).
% 1.97/2.12 cnf(528,plain,
% 1.97/2.12 (~E(f10(a24,a24),a12)),
% 1.97/2.12 inference(scs_inference,[],[37,125,33,62,441,373,307,116,94,113,93,112,20,115,92,21,10,2])).
% 1.97/2.12 cnf(530,plain,
% 1.97/2.12 (~E(f10(a12,a12),f10(a24,a24))),
% 1.97/2.12 inference(scs_inference,[],[37,125,33,62,449,441,373,307,205,116,94,113,93,112,20,115,92,21,10,2,22,3])).
% 1.97/2.12 cnf(535,plain,
% 1.97/2.12 (P1(f4(a13))),
% 1.97/2.12 inference(scs_inference,[],[37,125,33,62,124,45,44,449,406,441,373,307,205,396,170,342,116,94,113,93,112,20,115,92,21,10,2,22,3,98,104,19])).
% 1.97/2.12 cnf(563,plain,
% 1.97/2.12 (E(a23,f8(a17,a21))),
% 1.97/2.12 inference(scs_inference,[],[38,55,116,113,112,115,122,10,2])).
% 1.97/2.12 cnf(569,plain,
% 1.97/2.12 (P1(f15(f4(a13)))),
% 1.97/2.12 inference(scs_inference,[],[38,55,43,160,161,535,116,113,112,115,122,10,2,3,97,73])).
% 1.97/2.12 cnf(577,plain,
% 1.97/2.12 (P5(f4(a13),f15(f4(a13)))),
% 1.97/2.12 inference(scs_inference,[],[38,55,43,160,161,535,116,113,112,115,122,10,2,3,97,73,96,86,90,87])).
% 1.97/2.12 cnf(585,plain,
% 1.97/2.12 (P1(f4(a28))),
% 1.97/2.12 inference(scs_inference,[],[38,55,43,160,161,535,116,113,112,115,122,10,2,3,97,73,96,86,90,87,82,79,76,74])).
% 1.97/2.12 cnf(587,plain,
% 1.97/2.12 (~E(f15(f4(a13)),a3)),
% 1.97/2.12 inference(scs_inference,[],[38,55,43,160,161,535,116,113,112,115,122,10,2,3,97,73,96,86,90,87,82,79,76,74,72])).
% 1.97/2.12 cnf(606,plain,
% 1.97/2.12 (~P2(f10(a24,a24))+~E(f8(f10(a24,a24),f10(a24,a24)),f8(a12,a12))),
% 1.97/2.12 inference(scs_inference,[],[29,38,55,123,62,43,68,42,160,161,535,528,388,439,127,116,113,112,115,122,10,2,3,97,73,96,86,90,87,82,79,76,74,72,18,15,12,9,6,85,80,16,13,7,103,296,24,114])).
% 1.97/2.12 cnf(613,plain,
% 1.97/2.12 (P4(a12,f10(f10(a12,a12),a12))),
% 1.97/2.12 inference(scs_inference,[],[29,127,217,191,110])).
% 1.97/2.12 cnf(619,plain,
% 1.97/2.12 (P4(f8(a12,a12),f10(a24,a24))),
% 1.97/2.12 inference(scs_inference,[],[29,39,62,349,127,217,176,191,189,110,122,111,21])).
% 1.97/2.12 cnf(621,plain,
% 1.97/2.12 (~E(f10(a24,a24),f10(a12,a12))),
% 1.97/2.12 inference(scs_inference,[],[29,39,62,530,349,127,70,217,176,191,189,110,122,111,21,22,2])).
% 1.97/2.12 cnf(635,plain,
% 1.97/2.12 (E(f10(f8(a19,a22),x6351),f10(a24,x6351))),
% 1.97/2.12 inference(scs_inference,[],[29,39,56,59,62,530,569,180,349,127,70,217,176,191,189,110,122,111,21,22,2,3,81,75,89,83,78,17,14,8])).
% 1.97/2.12 cnf(637,plain,
% 1.97/2.12 (E(f15(f6(f15(f4(a13)))),f15(f4(a13)))),
% 1.97/2.12 inference(scs_inference,[],[29,39,56,59,62,530,569,180,587,349,127,70,217,176,191,189,110,122,111,21,22,2,3,81,75,89,83,78,17,14,8,4,80])).
% 1.97/2.12 cnf(645,plain,
% 1.97/2.12 (P2(f5(f2(a1),f2(a1)))),
% 1.97/2.12 inference(scs_inference,[],[29,39,56,59,125,62,124,42,68,530,569,180,587,349,127,70,217,176,191,189,110,122,111,21,22,2,3,81,75,89,83,78,17,14,8,4,80,11,5,114,101,104])).
% 1.97/2.12 cnf(656,plain,
% 1.97/2.12 (P1(f6(f15(f4(a13))))),
% 1.97/2.12 inference(scs_inference,[],[587,569,77])).
% 1.97/2.12 cnf(670,plain,
% 1.97/2.12 (~P4(f10(f8(a19,a22),a24),f10(a23,a26))),
% 1.97/2.12 inference(scs_inference,[],[30,69,127,124,44,645,637,635,376,587,569,135,170,535,29,77,104,88,118,110,122,111,21])).
% 1.97/2.12 cnf(673,plain,
% 1.97/2.12 (E(a26,f8(a20,a18))),
% 1.97/2.12 inference(scs_inference,[],[30,57,69,127,124,44,645,207,637,635,613,376,587,569,135,170,535,29,77,104,88,118,110,122,111,21,22,2])).
% 1.97/2.12 cnf(674,plain,
% 1.97/2.12 (~E(f8(a12,a12),f10(a24,a24))),
% 1.97/2.12 inference(scs_inference,[],[30,57,69,125,127,124,44,645,207,637,635,613,376,587,349,569,135,170,535,29,77,104,88,118,110,122,111,21,22,2,3])).
% 1.97/2.12 cnf(691,plain,
% 1.97/2.12 (E(f8(a24,a24),a25)+~P4(a25,f8(a24,a24))+~P2(f8(a24,a24))),
% 1.97/2.12 inference(scs_inference,[],[30,57,41,63,69,125,127,45,43,124,44,68,645,207,637,635,585,613,376,406,587,349,569,135,173,170,342,535,29,77,104,88,118,110,122,111,21,22,2,3,84,107,106,102,95,101,114,23,19,105])).
% 1.97/2.12 cnf(700,plain,
% 1.97/2.12 (P5(f4(a13),f4(a1))),
% 1.97/2.12 inference(scs_inference,[],[47,40,577,107,106,102,25])).
% 1.97/2.12 cnf(734,plain,
% 1.97/2.12 (E(f9(a1,a3),f9(a13,a3))),
% 1.97/2.12 inference(scs_inference,[],[129,41,40,215,673,307,94,93,7,20,21,2])).
% 1.97/2.12 cnf(737,plain,
% 1.97/2.12 (P4(a12,f5(a27,a27))),
% 1.97/2.12 inference(scs_inference,[],[129,41,40,45,215,673,161,307,94,93,7,20,21,2,3,97])).
% 1.97/2.12 cnf(749,plain,
% 1.97/2.12 (P1(f4(a27))),
% 1.97/2.12 inference(scs_inference,[],[31,129,41,40,45,215,656,673,161,585,307,94,93,7,20,21,2,3,97,73,96,90,86,87,74])).
% 1.97/2.12 cnf(763,plain,
% 1.97/2.12 (E(f5(x7631,f9(a13,a3)),f5(x7631,f9(a1,a3)))),
% 1.97/2.12 inference(scs_inference,[],[31,129,41,40,45,215,656,673,161,585,307,94,93,7,20,21,2,3,97,73,96,90,86,87,74,72,76,18,12,82,79,85,15])).
% 1.97/2.12 cnf(807,plain,
% 1.97/2.12 (P4(a18,a18)),
% 1.97/2.12 inference(scs_inference,[],[31,33,127,35,424,29,83,116,113,112,115,117,118,92])).
% 1.97/2.12 cnf(810,plain,
% 1.97/2.12 (~E(a12,f10(f8(a19,a22),a24))),
% 1.97/2.12 inference(scs_inference,[],[31,33,61,127,35,734,424,187,670,29,83,116,113,112,115,117,118,92,20,21])).
% 1.97/2.12 cnf(915,plain,
% 1.97/2.12 (E(a14,f9(a1,f4(a1)))),
% 1.97/2.12 inference(scs_inference,[],[33,59,36,807,106,107,102,122,117,2])).
% 1.97/2.12 cnf(916,plain,
% 1.97/2.12 (~E(f8(a12,a12),f10(f8(a19,a22),a24))),
% 1.97/2.12 inference(scs_inference,[],[33,59,36,807,810,349,106,107,102,122,117,2,3])).
% 1.97/2.12 cnf(917,plain,
% 1.97/2.12 (P4(a12,f5(a13,a13))),
% 1.97/2.12 inference(scs_inference,[],[33,59,36,44,807,810,349,106,107,102,122,117,2,3,97])).
% 1.97/2.12 cnf(919,plain,
% 1.97/2.12 (P1(f15(f4(a27)))),
% 1.97/2.12 inference(scs_inference,[],[33,59,36,44,807,810,749,349,106,107,102,122,117,2,3,97,73])).
% 1.97/2.12 cnf(925,plain,
% 1.97/2.12 (P5(f4(a27),f15(f4(a27)))),
% 1.97/2.12 inference(scs_inference,[],[33,59,36,44,807,810,749,349,106,107,102,122,117,2,3,97,73,90,86,87])).
% 1.97/2.12 cnf(927,plain,
% 1.97/2.12 (P1(f4(f2(a28)))),
% 1.97/2.12 inference(scs_inference,[],[33,59,36,44,807,810,749,349,342,106,107,102,122,117,2,3,97,73,90,86,87,74])).
% 1.97/2.12 cnf(931,plain,
% 1.97/2.12 (~E(f15(f4(a27)),a3)),
% 1.97/2.12 inference(scs_inference,[],[33,59,36,44,807,810,749,349,342,106,107,102,122,117,2,3,97,73,90,86,87,74,96,72])).
% 1.97/2.12 cnf(959,plain,
% 1.97/2.12 (P1(f6(f15(f4(a27))))),
% 1.97/2.12 inference(scs_inference,[],[33,59,36,124,44,807,810,737,749,161,700,521,349,342,106,107,102,122,117,2,3,97,73,90,86,87,74,96,72,82,79,76,18,12,85,15,121,16,13,9,6,94,110,119,80,77])).
% 1.97/2.12 cnf(999,plain,
% 1.97/2.12 (P4(a12,a17)),
% 1.97/2.12 inference(scs_inference,[],[33,60,49,39,41,37,43,763,916,435,919,915,917,524,135,94,122,117,21,2,3,81,78,75,89,17,14,11,104,8,5,4,92,22])).
% 1.97/2.12 cnf(1007,plain,
% 1.97/2.12 (~P4(f10(a24,a24),a12)+~P2(f10(a24,a24))),
% 1.97/2.12 inference(scs_inference,[],[33,60,49,125,39,41,37,62,43,45,763,916,959,435,919,927,915,917,524,135,29,94,122,117,21,2,3,81,78,75,89,17,14,11,104,8,5,4,92,22,691,95,80,108,105])).
% 1.97/2.12 cnf(1019,plain,
% 1.97/2.12 (P2(f10(a24,a24))),
% 1.97/2.12 inference(scs_inference,[],[126,39,925,999,325,32,118,25,93])).
% 1.97/2.12 cnf(1026,plain,
% 1.97/2.12 (~P4(f10(a24,a24),a12)),
% 1.97/2.12 inference(scs_inference,[],[50,52,126,135,39,38,402,925,563,999,915,325,32,118,25,93,20,22,2,3,1007])).
% 1.97/2.12 cnf(1027,plain,
% 1.97/2.12 (~E(f8(f10(a24,a24),f10(a24,a24)),f8(a12,a12))),
% 1.97/2.12 inference(scs_inference,[],[50,52,126,135,39,38,402,925,563,999,915,325,32,118,25,93,20,22,2,3,1007,606])).
% 1.97/2.12 cnf(1030,plain,
% 1.97/2.12 (P4(a19,a19)),
% 1.97/2.12 inference(scs_inference,[],[34,50,52,126,135,39,38,402,925,563,999,915,325,342,32,118,25,93,20,22,2,3,1007,606,104,83])).
% 1.97/2.12 cnf(1073,plain,
% 1.97/2.12 (E(f4(a13),f4(f2(a1)))),
% 1.97/2.12 inference(scs_inference,[],[34,123,131,39,127,40,62,124,1027,1019,619,1026,149,1030,931,674,201,70,342,189,29,116,113,112,115,111,105,118,93,10,21,22,2,3,98,7])).
% 1.97/2.12 cnf(1100,plain,
% 1.97/2.12 ($false),
% 1.97/2.12 inference(scs_inference,[],[35,64,61,40,38,62,621,1073,577,1019,70,217,191,116,114,113,112,115,24,118,93]),
% 1.97/2.12 ['proof']).
% 1.97/2.12 % SZS output end Proof
% 1.97/2.12 % Total time :1.460000s
%------------------------------------------------------------------------------