TSTP Solution File: RNG069+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG069+2 : 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 : n007.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 13:48:00 EDT 2023
% Result : Theorem 1.10s 1.11s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG069+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 02:40:42 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.54/1.09 %-------------------------------------------
% 0.54/1.09 % File :CSE---1.6
% 0.54/1.09 % Problem :theBenchmark
% 0.54/1.09 % Transform :cnf
% 0.54/1.09 % Format :tptp:raw
% 0.54/1.09 % Command :java -jar mcs_scs.jar %d %s
% 0.54/1.09
% 0.54/1.09 % Result :Theorem 0.460000s
% 0.54/1.09 % Output :CNFRefutation 0.460000s
% 0.54/1.09 %-------------------------------------------
% 0.54/1.09 %------------------------------------------------------------------------------
% 0.54/1.09 % File : RNG069+2 : TPTP v8.1.2. Released v4.0.0.
% 0.54/1.09 % Domain : Ring Theory
% 0.54/1.09 % Problem : Cauchy-Bouniakowsky-Schwarz inequality 05_16_03_04, 01 expansion
% 0.54/1.09 % Version : Especial.
% 0.54/1.09 % English :
% 0.54/1.09
% 0.54/1.09 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.54/1.09 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.54/1.09 % Source : [Pas08]
% 0.54/1.09 % Names : cauchy_05_16_03_04.01 [Pas08]
% 0.54/1.09
% 0.54/1.09 % Status : Theorem
% 0.54/1.09 % Rating : 0.36 v7.5.0, 0.41 v7.4.0, 0.30 v7.3.0, 0.24 v7.1.0, 0.30 v7.0.0, 0.37 v6.4.0, 0.35 v6.3.0, 0.29 v6.2.0, 0.36 v6.1.0, 0.53 v6.0.0, 0.48 v5.5.0, 0.56 v5.4.0, 0.61 v5.3.0, 0.67 v5.2.0, 0.60 v5.1.0, 0.67 v5.0.0, 0.75 v4.1.0, 0.78 v4.0.1, 0.91 v4.0.0
% 0.54/1.09 % Syntax : Number of formulae : 62 ( 11 unt; 1 def)
% 0.54/1.09 % Number of atoms : 199 ( 62 equ)
% 0.54/1.09 % Maximal formula atoms : 9 ( 3 avg)
% 0.54/1.09 % Number of connectives : 143 ( 6 ~; 1 |; 80 &)
% 0.54/1.09 % ( 1 <=>; 55 =>; 0 <=; 0 <~>)
% 0.54/1.09 % Maximal formula depth : 10 ( 4 avg)
% 0.54/1.09 % Maximal term depth : 5 ( 1 avg)
% 0.54/1.09 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 0.54/1.09 % Number of functors : 26 ( 26 usr; 18 con; 0-2 aty)
% 0.54/1.09 % Number of variables : 73 ( 72 !; 1 ?)
% 0.54/1.09 % SPC : FOF_THM_RFO_SEQ
% 0.54/1.09
% 0.54/1.09 % Comments : Problem generated by the SAD system [VLP07]
% 0.54/1.09 %------------------------------------------------------------------------------
% 0.54/1.09 fof(mNatSort,axiom,
% 0.54/1.09 ! [W0] :
% 0.54/1.09 ( aNaturalNumber0(W0)
% 0.54/1.09 => $true ) ).
% 0.54/1.09
% 0.54/1.09 fof(mZeroNat,axiom,
% 0.54/1.09 aNaturalNumber0(sz00) ).
% 0.54/1.09
% 0.54/1.09 fof(mSuccNat,axiom,
% 0.54/1.09 ! [W0] :
% 0.54/1.09 ( aNaturalNumber0(W0)
% 0.54/1.09 => ( aNaturalNumber0(szszuzczcdt0(W0))
% 0.54/1.09 & szszuzczcdt0(W0) != sz00 ) ) ).
% 0.54/1.09
% 0.54/1.09 fof(mNatExtr,axiom,
% 0.54/1.09 ! [W0] :
% 0.54/1.09 ( ( aNaturalNumber0(W0)
% 0.54/1.09 & W0 != sz00 )
% 0.54/1.09 => ? [W1] :
% 0.54/1.09 ( aNaturalNumber0(W1)
% 0.54/1.09 & W0 = szszuzczcdt0(W1) ) ) ).
% 0.54/1.09
% 0.54/1.09 fof(mSuccEqu,axiom,
% 0.54/1.09 ! [W0,W1] :
% 0.54/1.09 ( ( aNaturalNumber0(W0)
% 0.54/1.09 & aNaturalNumber0(W1) )
% 0.54/1.09 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 0.54/1.09 => W0 = W1 ) ) ).
% 0.54/1.09
% 0.54/1.09 fof(mIHOrd,axiom,
% 0.54/1.09 ! [W0,W1] :
% 0.54/1.09 ( ( aNaturalNumber0(W0)
% 0.54/1.09 & aNaturalNumber0(W1) )
% 0.54/1.09 => ( iLess0(W0,W1)
% 0.54/1.09 => $true ) ) ).
% 0.54/1.09
% 0.54/1.09 fof(mIH,axiom,
% 0.54/1.09 ! [W0] :
% 0.54/1.09 ( aNaturalNumber0(W0)
% 0.54/1.09 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 0.54/1.09
% 0.54/1.09 fof(mScSort,axiom,
% 0.54/1.09 ! [W0] :
% 0.54/1.09 ( aScalar0(W0)
% 0.54/1.09 => $true ) ).
% 0.54/1.09
% 0.54/1.09 fof(mSZeroSc,axiom,
% 0.54/1.09 aScalar0(sz0z00) ).
% 0.54/1.09
% 0.54/1.09 fof(mSumSc,axiom,
% 0.54/1.09 ! [W0,W1] :
% 0.54/1.09 ( ( aScalar0(W0)
% 0.54/1.09 & aScalar0(W1) )
% 0.54/1.09 => aScalar0(sdtpldt0(W0,W1)) ) ).
% 0.54/1.09
% 0.54/1.09 fof(mMulSc,axiom,
% 0.54/1.09 ! [W0,W1] :
% 0.54/1.09 ( ( aScalar0(W0)
% 0.54/1.09 & aScalar0(W1) )
% 0.54/1.09 => aScalar0(sdtasdt0(W0,W1)) ) ).
% 0.54/1.09
% 0.54/1.09 fof(mNegSc,axiom,
% 0.54/1.09 ! [W0] :
% 0.54/1.09 ( aScalar0(W0)
% 0.54/1.09 => aScalar0(smndt0(W0)) ) ).
% 0.54/1.09
% 0.54/1.09 fof(mScZero,axiom,
% 0.54/1.09 ! [W0] :
% 0.54/1.09 ( aScalar0(W0)
% 0.54/1.09 => ( sdtpldt0(W0,sz0z00) = W0
% 0.54/1.09 & sdtpldt0(sz0z00,W0) = W0
% 0.54/1.10 & sdtasdt0(W0,sz0z00) = sz0z00
% 0.54/1.10 & sdtasdt0(sz0z00,W0) = sz0z00
% 0.54/1.10 & sdtpldt0(W0,smndt0(W0)) = sz0z00
% 0.54/1.10 & sdtpldt0(smndt0(W0),W0) = sz0z00
% 0.54/1.10 & smndt0(smndt0(W0)) = W0
% 0.54/1.10 & smndt0(sz0z00) = sz0z00 ) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mArith,axiom,
% 0.54/1.10 ! [W0,W1,W2] :
% 0.54/1.10 ( ( aScalar0(W0)
% 0.54/1.10 & aScalar0(W1)
% 0.54/1.10 & aScalar0(W2) )
% 0.54/1.10 => ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
% 0.54/1.10 & sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
% 0.54/1.10 & sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
% 0.54/1.10 & sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mDistr,axiom,
% 0.54/1.10 ! [W0,W1,W2] :
% 0.54/1.10 ( ( aScalar0(W0)
% 0.54/1.10 & aScalar0(W1)
% 0.54/1.10 & aScalar0(W2) )
% 0.54/1.10 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.54/1.10 & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mDistr2,axiom,
% 0.54/1.10 ! [W0,W1,W2,W3] :
% 0.54/1.10 ( ( aScalar0(W0)
% 0.54/1.10 & aScalar0(W1)
% 0.54/1.10 & aScalar0(W2)
% 0.54/1.10 & aScalar0(W3) )
% 0.54/1.10 => sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mMNeg,axiom,
% 0.54/1.10 ! [W0,W1] :
% 0.54/1.10 ( ( aScalar0(W0)
% 0.54/1.10 & aScalar0(W1) )
% 0.54/1.10 => ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
% 0.54/1.10 & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mMDNeg,axiom,
% 0.54/1.10 ! [W0,W1] :
% 0.54/1.10 ( ( aScalar0(W0)
% 0.54/1.10 & aScalar0(W1) )
% 0.54/1.10 => sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mLess,axiom,
% 0.54/1.10 ! [W0,W1] :
% 0.54/1.10 ( ( aScalar0(W0)
% 0.54/1.10 & aScalar0(W1) )
% 0.54/1.10 => ( sdtlseqdt0(W0,W1)
% 0.54/1.10 => $true ) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mLERef,axiom,
% 0.54/1.10 ! [W0] :
% 0.54/1.10 ( aScalar0(W0)
% 0.54/1.10 => sdtlseqdt0(W0,W0) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mLEASm,axiom,
% 0.54/1.10 ! [W0,W1] :
% 0.54/1.10 ( ( aScalar0(W0)
% 0.54/1.10 & aScalar0(W1) )
% 0.54/1.10 => ( ( sdtlseqdt0(W0,W1)
% 0.54/1.10 & sdtlseqdt0(W1,W0) )
% 0.54/1.10 => W0 = W1 ) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mLETrn,axiom,
% 0.54/1.10 ! [W0,W1,W2] :
% 0.54/1.10 ( ( aScalar0(W0)
% 0.54/1.10 & aScalar0(W1)
% 0.54/1.10 & aScalar0(W2) )
% 0.54/1.10 => ( ( sdtlseqdt0(W0,W1)
% 0.54/1.10 & sdtlseqdt0(W1,W2) )
% 0.54/1.10 => sdtlseqdt0(W0,W2) ) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mLEMon,axiom,
% 0.54/1.10 ! [W0,W1,W2,W3] :
% 0.54/1.10 ( ( aScalar0(W0)
% 0.54/1.10 & aScalar0(W1)
% 0.54/1.10 & aScalar0(W2)
% 0.54/1.10 & aScalar0(W3) )
% 0.54/1.10 => ( ( sdtlseqdt0(W0,W1)
% 0.54/1.10 & sdtlseqdt0(W2,W3) )
% 0.54/1.10 => sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mLEMonM,axiom,
% 0.54/1.10 ! [W0,W1,W2,W3] :
% 0.54/1.10 ( ( aScalar0(W0)
% 0.54/1.10 & aScalar0(W1)
% 0.54/1.10 & aScalar0(W2)
% 0.54/1.10 & aScalar0(W3) )
% 0.54/1.10 => ( ( sdtlseqdt0(W0,W1)
% 0.54/1.10 & sdtlseqdt0(sz0z00,W2)
% 0.54/1.10 & sdtlseqdt0(W2,W3) )
% 0.54/1.10 => sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mLETot,axiom,
% 0.54/1.10 ! [W0,W1] :
% 0.54/1.10 ( ( aScalar0(W0)
% 0.54/1.10 & aScalar0(W1) )
% 0.54/1.10 => ( sdtlseqdt0(W0,W1)
% 0.54/1.10 | sdtlseqdt0(W1,W0) ) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mPosMon,axiom,
% 0.54/1.10 ! [W0,W1] :
% 0.54/1.10 ( ( aScalar0(W0)
% 0.54/1.10 & aScalar0(W1) )
% 0.54/1.10 => ( ( sdtlseqdt0(sz0z00,W0)
% 0.54/1.10 & sdtlseqdt0(sz0z00,W1) )
% 0.54/1.10 => ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))
% 0.54/1.10 & sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mSqPos,axiom,
% 0.54/1.10 ! [W0] :
% 0.54/1.10 ( aScalar0(W0)
% 0.54/1.10 => sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mSqrt,axiom,
% 0.54/1.10 ! [W0,W1] :
% 0.54/1.10 ( ( aScalar0(W0)
% 0.54/1.10 & aScalar0(W1) )
% 0.54/1.10 => ( ( sdtlseqdt0(sz0z00,W0)
% 0.54/1.10 & sdtlseqdt0(sz0z00,W1)
% 0.54/1.10 & sdtasdt0(W0,W0) = sdtasdt0(W1,W1) )
% 0.54/1.10 => W0 = W1 ) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mVcSort,axiom,
% 0.54/1.10 ! [W0] :
% 0.54/1.10 ( aVector0(W0)
% 0.54/1.10 => $true ) ).
% 0.54/1.10
% 0.54/1.10 fof(mDimNat,axiom,
% 0.54/1.10 ! [W0] :
% 0.54/1.10 ( aVector0(W0)
% 0.54/1.10 => aNaturalNumber0(aDimensionOf0(W0)) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mElmSc,axiom,
% 0.54/1.10 ! [W0,W1] :
% 0.54/1.10 ( ( aVector0(W0)
% 0.54/1.10 & aNaturalNumber0(W1) )
% 0.54/1.10 => aScalar0(sdtlbdtrb0(W0,W1)) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mDefInit,definition,
% 0.54/1.10 ! [W0] :
% 0.54/1.10 ( aVector0(W0)
% 0.54/1.10 => ( aDimensionOf0(W0) != sz00
% 0.54/1.10 => ! [W1] :
% 0.54/1.10 ( W1 = sziznziztdt0(W0)
% 0.54/1.10 <=> ( aVector0(W1)
% 0.54/1.10 & szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)
% 0.54/1.10 & ! [W2] :
% 0.54/1.10 ( aNaturalNumber0(W2)
% 0.54/1.10 => sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ) ).
% 0.54/1.10
% 0.54/1.10 fof(mEqInit,axiom,
% 0.54/1.10 ! [W0,W1] :
% 1.10/1.10 ( ( aVector0(W0)
% 1.10/1.10 & aVector0(W1) )
% 1.10/1.10 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 1.10/1.10 & aDimensionOf0(W1) != sz00 )
% 1.10/1.10 => aDimensionOf0(sziznziztdt0(W0)) = aDimensionOf0(sziznziztdt0(W1)) ) ) ).
% 1.10/1.10
% 1.10/1.10 fof(mScPr,axiom,
% 1.10/1.10 ! [W0,W1] :
% 1.10/1.10 ( ( aVector0(W0)
% 1.10/1.10 & aVector0(W1) )
% 1.10/1.10 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 1.10/1.10 => aScalar0(sdtasasdt0(W0,W1)) ) ) ).
% 1.10/1.10
% 1.10/1.10 fof(mDefSPZ,axiom,
% 1.10/1.10 ! [W0,W1] :
% 1.10/1.10 ( ( aVector0(W0)
% 1.10/1.10 & aVector0(W1) )
% 1.10/1.10 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 1.10/1.10 & aDimensionOf0(W1) = sz00 )
% 1.10/1.10 => sdtasasdt0(W0,W1) = sz0z00 ) ) ).
% 1.10/1.10
% 1.10/1.10 fof(mDefSPN,axiom,
% 1.10/1.10 ! [W0,W1] :
% 1.10/1.10 ( ( aVector0(W0)
% 1.10/1.10 & aVector0(W1) )
% 1.10/1.10 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 1.10/1.10 & aDimensionOf0(W1) != sz00 )
% 1.10/1.10 => sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))) ) ) ).
% 1.10/1.10
% 1.10/1.10 fof(mScSqPos,axiom,
% 1.10/1.10 ! [W0] :
% 1.10/1.10 ( aVector0(W0)
% 1.10/1.10 => sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1678,hypothesis,
% 1.10/1.10 ( aVector0(xs)
% 1.10/1.10 & aVector0(xt) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1652,hypothesis,
% 1.10/1.10 ! [W0,W1] :
% 1.10/1.10 ( ( aVector0(W0)
% 1.10/1.10 & aVector0(W1) )
% 1.10/1.10 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 1.10/1.10 => ( iLess0(aDimensionOf0(W0),aDimensionOf0(xs))
% 1.10/1.10 => sdtlseqdt0(sdtasdt0(sdtasasdt0(W0,W1),sdtasasdt0(W0,W1)),sdtasdt0(sdtasasdt0(W0,W0),sdtasasdt0(W1,W1))) ) ) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1678_01,hypothesis,
% 1.10/1.10 aDimensionOf0(xs) = aDimensionOf0(xt) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1692,hypothesis,
% 1.10/1.10 aDimensionOf0(xs) != sz00 ).
% 1.10/1.10
% 1.10/1.10 fof(m__1709,hypothesis,
% 1.10/1.10 ( aVector0(xp)
% 1.10/1.10 & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
% 1.10/1.10 & ! [W0] :
% 1.10/1.10 ( aNaturalNumber0(W0)
% 1.10/1.10 => sdtlbdtrb0(xp,W0) = sdtlbdtrb0(xs,W0) )
% 1.10/1.10 & xp = sziznziztdt0(xs) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1726,hypothesis,
% 1.10/1.10 ( aVector0(xq)
% 1.10/1.10 & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
% 1.10/1.10 & ! [W0] :
% 1.10/1.10 ( aNaturalNumber0(W0)
% 1.10/1.10 => sdtlbdtrb0(xq,W0) = sdtlbdtrb0(xt,W0) )
% 1.10/1.10 & xq = sziznziztdt0(xt) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1746,hypothesis,
% 1.10/1.10 ( aScalar0(xA)
% 1.10/1.10 & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1766,hypothesis,
% 1.10/1.10 ( aScalar0(xB)
% 1.10/1.10 & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1783,hypothesis,
% 1.10/1.10 ( aScalar0(xC)
% 1.10/1.10 & xC = sdtasasdt0(xp,xp) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1800,hypothesis,
% 1.10/1.10 ( aScalar0(xD)
% 1.10/1.10 & xD = sdtasasdt0(xq,xq) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1820,hypothesis,
% 1.10/1.10 ( aScalar0(xE)
% 1.10/1.10 & xE = sdtasasdt0(xp,xq) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1837,hypothesis,
% 1.10/1.10 ( aScalar0(xF)
% 1.10/1.10 & xF = sdtasdt0(xA,xA) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1854,hypothesis,
% 1.10/1.10 ( aScalar0(xG)
% 1.10/1.10 & xG = sdtasdt0(xB,xB) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1873,hypothesis,
% 1.10/1.10 ( aScalar0(xH)
% 1.10/1.10 & xH = sdtasdt0(xA,xB) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1892,hypothesis,
% 1.10/1.10 ( aScalar0(xR)
% 1.10/1.10 & xR = sdtasdt0(xC,xG) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1911,hypothesis,
% 1.10/1.10 ( aScalar0(xP)
% 1.10/1.10 & xP = sdtasdt0(xE,xH) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1930,hypothesis,
% 1.10/1.10 ( aScalar0(xS)
% 1.10/1.10 & xS = sdtasdt0(xF,xD) ) ).
% 1.10/1.10
% 1.10/1.10 fof(m__1949,hypothesis,
% 1.10/1.11 ( aScalar0(xN)
% 1.10/1.11 & xN = sdtasdt0(xR,xS) ) ).
% 1.10/1.11
% 1.10/1.11 fof(m__1967,hypothesis,
% 1.10/1.11 sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ).
% 1.10/1.11
% 1.10/1.11 fof(m__2004,hypothesis,
% 1.10/1.11 sdtlseqdt0(sdtasdt0(xP,xP),xN) ).
% 1.10/1.11
% 1.10/1.11 fof(m__2104,hypothesis,
% 1.10/1.11 sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ).
% 1.10/1.11
% 1.10/1.11 fof(m__2463,hypothesis,
% 1.10/1.11 sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)) ).
% 1.10/1.11
% 1.10/1.11 fof(m__2510,hypothesis,
% 1.10/1.11 sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtasdt0(xS,xS)),xN) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xS),xN)) ).
% 1.10/1.11
% 1.10/1.11 fof(m__2580,hypothesis,
% 1.10/1.11 sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))) ).
% 1.10/1.11
% 1.10/1.11 fof(m__,conjecture,
% 1.10/1.11 sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ).
% 1.10/1.11
% 1.10/1.11 %------------------------------------------------------------------------------
% 1.10/1.11 %-------------------------------------------
% 1.10/1.11 % Proof found
% 1.10/1.11 % SZS status Theorem for theBenchmark
% 1.10/1.11 % SZS output start Proof
% 1.10/1.11 %ClaNum:120(EqnAxiom:25)
% 1.10/1.11 %VarNum:315(SingletonVarNum:98)
% 1.10/1.11 %MaxLitNum:8
% 1.10/1.11 %MaxfuncDepth:4
% 1.10/1.11 %SharedTerms:108
% 1.10/1.11 %goalClause: 68
% 1.10/1.11 %singleGoalClaCount:1
% 1.10/1.11 [28]P1(a3)
% 1.10/1.11 [29]P2(a12)
% 1.10/1.11 [30]P2(a14)
% 1.10/1.11 [31]P2(a16)
% 1.10/1.11 [32]P2(a17)
% 1.10/1.11 [33]P2(a18)
% 1.10/1.11 [34]P2(a19)
% 1.10/1.11 [35]P2(a20)
% 1.10/1.11 [36]P2(a21)
% 1.10/1.11 [37]P2(a22)
% 1.10/1.11 [38]P2(a23)
% 1.10/1.11 [39]P2(a24)
% 1.10/1.11 [40]P2(a26)
% 1.10/1.11 [41]P2(a25)
% 1.10/1.11 [42]P3(a1)
% 1.10/1.11 [43]P3(a28)
% 1.10/1.11 [44]P3(a13)
% 1.10/1.11 [45]P3(a27)
% 1.10/1.11 [26]E(f2(a1),a13)
% 1.10/1.11 [27]E(f2(a28),a27)
% 1.10/1.11 [46]E(f4(a28),f4(a1))
% 1.10/1.11 [49]E(f5(a13,a13),a17)
% 1.10/1.11 [50]E(f5(a27,a27),a18)
% 1.10/1.11 [51]E(f5(a13,a27),a19)
% 1.10/1.11 [52]E(f8(a14,a14),a20)
% 1.10/1.11 [53]E(f8(a16,a16),a21)
% 1.10/1.11 [54]E(f8(a14,a16),a22)
% 1.10/1.11 [55]E(f8(a17,a21),a23)
% 1.10/1.11 [56]E(f8(a19,a22),a24)
% 1.10/1.11 [57]E(f8(a20,a18),a26)
% 1.10/1.11 [58]E(f8(a23,a26),a25)
% 1.10/1.11 [61]P4(f8(a24,a24),a25)
% 1.10/1.11 [62]P4(f8(a19,a19),f8(a17,a18))
% 1.10/1.11 [67]~E(f4(a1),a3)
% 1.10/1.11 [47]E(f15(f4(a13)),f4(a1))
% 1.10/1.11 [48]E(f15(f4(a27)),f4(a28))
% 1.10/1.11 [59]E(f9(a1,f4(a1)),a14)
% 1.10/1.11 [60]E(f9(a28,f4(a28)),a16)
% 1.10/1.11 [63]P4(f10(f8(a24,a24),f8(a24,a24)),f10(f8(a23,a23),f8(a26,a26)))
% 1.10/1.11 [68]~P4(f8(f10(a24,a24),f10(a24,a24)),f8(f10(a23,a26),f10(a23,a26)))
% 1.10/1.11 [64]E(f10(f10(f10(f8(a23,a23),a25),f8(a26,a26)),a25),f10(f10(f8(a23,a23),a25),f10(f8(a26,a26),a25)))
% 1.10/1.11 [65]P4(f10(f10(f8(a24,a24),f8(a24,a24)),f10(f8(a24,a24),f8(a24,a24))),f10(f10(f8(a23,a23),f8(a23,a26)),f10(f8(a26,a23),f8(a26,a26))))
% 1.10/1.11 [66]P4(f10(f10(f10(f8(a24,a24),f8(a24,a24)),f8(a24,a24)),f8(a24,a24)),f10(f10(f10(f8(a23,a23),f8(a26,a26)),a25),a25))
% 1.10/1.11 [81]~P2(x811)+P4(x811,x811)
% 1.10/1.11 [69]~P2(x691)+E(f11(a12),a12)
% 1.10/1.11 [70]~P1(x701)+~E(f15(x701),a3)
% 1.10/1.11 [71]~P1(x711)+P1(f15(x711))
% 1.10/1.11 [72]~P3(x721)+P1(f4(x721))
% 1.10/1.11 [73]~P2(x731)+P2(f11(x731))
% 1.10/1.11 [76]~P2(x761)+E(f8(x761,a12),a12)
% 1.10/1.11 [77]~P2(x771)+E(f8(a12,x771),a12)
% 1.10/1.11 [79]~P2(x791)+E(f10(x791,a12),x791)
% 1.10/1.11 [80]~P2(x801)+E(f10(a12,x801),x801)
% 1.10/1.11 [85]~P1(x851)+P5(x851,f15(x851))
% 1.10/1.11 [87]~P1(x871)+E(f9(a13,x871),f9(a1,x871))
% 1.10/1.11 [88]~P1(x881)+E(f9(a28,x881),f9(a27,x881))
% 1.10/1.11 [94]~P2(x941)+P4(a12,f8(x941,x941))
% 1.10/1.11 [95]~P3(x951)+P4(a12,f5(x951,x951))
% 1.10/1.11 [74]~P2(x741)+E(f11(f11(x741)),x741)
% 1.10/1.11 [83]~P2(x831)+E(f10(x831,f11(x831)),a12)
% 1.10/1.11 [84]~P2(x841)+E(f10(f11(x841),x841),a12)
% 1.10/1.11 [75]~P1(x751)+E(x751,a3)+P1(f6(x751))
% 1.10/1.11 [78]~P1(x781)+E(x781,a3)+E(f15(f6(x781)),x781)
% 1.10/1.11 [91]~P2(x912)+~P2(x911)+P2(f10(x911,x912))
% 1.10/1.11 [92]~P2(x922)+~P2(x921)+P2(f8(x921,x922))
% 1.10/1.11 [93]~P1(x932)+~P3(x931)+P2(f9(x931,x932))
% 1.10/1.11 [100]~P2(x1002)+~P2(x1001)+E(f8(f11(x1001),f11(x1002)),f8(x1001,x1002))
% 1.10/1.11 [104]~P2(x1042)+~P2(x1041)+E(f11(f8(x1041,x1042)),f8(x1041,f11(x1042)))
% 1.10/1.11 [105]~P2(x1052)+~P2(x1051)+E(f11(f8(x1051,x1052)),f8(f11(x1051),x1052))
% 1.10/1.11 [90]P4(x902,x901)+~P2(x901)+~P2(x902)+P4(x901,x902)
% 1.10/1.11 [82]~P3(x821)+P3(x822)+~E(x822,f2(x821))+E(f4(x821),a3)
% 1.10/1.11 [86]~P1(x862)+~P1(x861)+E(x861,x862)+~E(f15(x861),f15(x862))
% 1.10/1.11 [102]~P3(x1022)+~P3(x1021)+~E(f4(x1021),f4(x1022))+P2(f5(x1021,x1022))
% 1.10/1.11 [89]~P3(x891)+~E(x892,f2(x891))+E(f4(x891),a3)+E(f15(f4(x892)),f4(x891))
% 1.10/1.11 [97]~P2(x972)+~P2(x971)+~P2(x973)+E(f10(x971,x972),f10(x972,x971))
% 1.10/1.11 [98]~P2(x982)+~P2(x981)+~P2(x983)+E(f8(x981,x982),f8(x982,x981))
% 1.10/1.11 [110]~P2(x1103)+~P2(x1102)+~P2(x1101)+E(f10(f10(x1101,x1102),x1103),f10(x1101,f10(x1102,x1103)))
% 1.10/1.11 [111]~P2(x1113)+~P2(x1112)+~P2(x1111)+E(f8(f8(x1111,x1112),x1113),f8(x1111,f8(x1112,x1113)))
% 1.10/1.11 [113]~P2(x1133)+~P2(x1132)+~P2(x1131)+E(f10(f8(x1131,x1132),f8(x1131,x1133)),f8(x1131,f10(x1132,x1133)))
% 1.10/1.11 [114]~P2(x1142)+~P2(x1143)+~P2(x1141)+E(f10(f8(x1141,x1142),f8(x1143,x1142)),f8(f10(x1141,x1143),x1142))
% 1.10/1.11 [103]~P2(x1032)+~P2(x1031)+~P4(x1032,x1031)+~P4(x1031,x1032)+E(x1031,x1032)
% 1.10/1.11 [96]~P3(x962)+~P3(x961)+~E(f4(x961),f4(x962))+~E(f4(x962),a3)+E(f5(x961,x962),a12)
% 1.10/1.11 [108]~P2(x1082)+~P2(x1081)+~P4(a12,x1082)+~P4(a12,x1081)+P4(a12,f10(x1081,x1082))
% 1.10/1.11 [109]~P2(x1092)+~P2(x1091)+~P4(a12,x1092)+~P4(a12,x1091)+P4(a12,f8(x1091,x1092))
% 1.10/1.11 [99]~P3(x991)+~P3(x992)+~E(f4(x992),f4(x991))+E(f4(x991),a3)+E(f4(f2(x992)),f4(f2(x991)))
% 1.10/1.11 [119]~P3(x1192)+~P3(x1191)+~E(f4(x1191),f4(x1192))+~P5(f4(x1191),f4(a1))+P4(f8(f5(x1191,x1192),f5(x1191,x1192)),f8(f5(x1191,x1191),f5(x1192,x1192)))
% 1.10/1.11 [118]~P3(x1181)+~P3(x1182)+~E(f4(x1182),f4(x1181))+E(f4(x1181),a3)+E(f10(f5(f2(x1182),f2(x1181)),f8(f9(x1182,f4(x1182)),f9(x1181,f4(x1181)))),f5(x1182,x1181))
% 1.10/1.11 [101]~P1(x1013)+~P3(x1011)+~E(x1012,f2(x1011))+E(f9(x1012,x1013),f9(x1011,x1013))+E(f4(x1011),a3)
% 1.10/1.11 [120]~P2(x1203)+~P2(x1202)+~P2(x1204)+~P2(x1201)+E(f10(f10(f8(x1201,x1202),f8(x1201,x1203)),f10(f8(x1204,x1202),f8(x1204,x1203))),f8(f10(x1201,x1204),f10(x1202,x1203)))
% 1.10/1.11 [112]~P2(x1122)+~P2(x1121)+E(x1121,x1122)+~E(f8(x1121,x1121),f8(x1122,x1122))+~P4(a12,x1122)+~P4(a12,x1121)
% 1.10/1.11 [106]~P3(x1061)+~P3(x1062)+E(x1061,f2(x1062))+E(f4(x1062),a3)+P1(f7(x1062,x1061))+~E(f15(f4(x1061)),f4(x1062))
% 1.10/1.11 [117]~P3(x1172)+~P3(x1171)+E(x1171,f2(x1172))+E(f4(x1172),a3)+~E(f15(f4(x1171)),f4(x1172))+~E(f9(x1171,f7(x1172,x1171)),f9(x1172,f7(x1172,x1171)))
% 1.10/1.11 [107]~P2(x1072)+~P2(x1071)+~P4(x1073,x1072)+~P4(x1071,x1073)+P4(x1071,x1072)+~P2(x1073)
% 1.10/1.11 [115]~P2(x1154)+~P2(x1152)+~P2(x1153)+~P2(x1151)+~P4(x1152,x1154)+~P4(x1151,x1153)+P4(f10(x1151,x1152),f10(x1153,x1154))
% 1.10/1.11 [116]~P2(x1164)+~P2(x1162)+~P2(x1163)+~P2(x1161)+~P4(x1162,x1164)+~P4(x1161,x1163)+~P4(a12,x1162)+P4(f8(x1161,x1162),f8(x1163,x1164))
% 1.10/1.11 %EqnAxiom
% 1.10/1.11 [1]E(x11,x11)
% 1.10/1.11 [2]E(x22,x21)+~E(x21,x22)
% 1.10/1.11 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.10/1.11 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 1.10/1.11 [5]~E(x51,x52)+E(f8(x51,x53),f8(x52,x53))
% 1.10/1.11 [6]~E(x61,x62)+E(f8(x63,x61),f8(x63,x62))
% 1.10/1.11 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 1.10/1.11 [8]~E(x81,x82)+E(f11(x81),f11(x82))
% 1.10/1.11 [9]~E(x91,x92)+E(f15(x91),f15(x92))
% 1.10/1.11 [10]~E(x101,x102)+E(f10(x101,x103),f10(x102,x103))
% 1.10/1.11 [11]~E(x111,x112)+E(f10(x113,x111),f10(x113,x112))
% 1.10/1.11 [12]~E(x121,x122)+E(f9(x121,x123),f9(x122,x123))
% 1.10/1.11 [13]~E(x131,x132)+E(f9(x133,x131),f9(x133,x132))
% 1.10/1.11 [14]~E(x141,x142)+E(f5(x141,x143),f5(x142,x143))
% 1.10/1.11 [15]~E(x151,x152)+E(f5(x153,x151),f5(x153,x152))
% 1.10/1.11 [16]~E(x161,x162)+E(f6(x161),f6(x162))
% 1.10/1.11 [17]~E(x171,x172)+E(f7(x171,x173),f7(x172,x173))
% 1.10/1.11 [18]~E(x181,x182)+E(f7(x183,x181),f7(x183,x182))
% 1.10/1.11 [19]~P1(x191)+P1(x192)+~E(x191,x192)
% 1.10/1.11 [20]~P2(x201)+P2(x202)+~E(x201,x202)
% 1.10/1.11 [21]P4(x212,x213)+~E(x211,x212)+~P4(x211,x213)
% 1.10/1.11 [22]P4(x223,x222)+~E(x221,x222)+~P4(x223,x221)
% 1.10/1.11 [23]~P3(x231)+P3(x232)+~E(x231,x232)
% 1.10/1.11 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243)
% 1.10/1.11 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251)
% 1.10/1.11
% 1.10/1.11 %-------------------------------------------
% 1.10/1.11 cnf(121,plain,
% 1.10/1.11 (E(a13,f2(a1))),
% 1.10/1.11 inference(scs_inference,[],[26,2])).
% 1.10/1.11 cnf(122,plain,
% 1.10/1.11 (P3(f2(a1))),
% 1.10/1.11 inference(scs_inference,[],[44,26,2,23])).
% 1.10/1.11 cnf(124,plain,
% 1.10/1.11 (P4(a12,a12)),
% 1.10/1.11 inference(scs_inference,[],[29,44,26,46,48,2,23,3,90])).
% 1.10/1.11 cnf(128,plain,
% 1.10/1.11 (E(f4(f2(a28)),f4(f2(a1)))),
% 1.10/1.11 inference(scs_inference,[],[28,29,42,43,44,26,67,46,48,2,23,3,90,101,99])).
% 1.10/1.11 cnf(130,plain,
% 1.10/1.11 (P4(f8(a12,a12),f8(a12,a12))),
% 1.10/1.11 inference(scs_inference,[],[28,29,42,43,44,26,67,46,48,2,23,3,90,101,99,116])).
% 1.10/1.11 cnf(131,plain,
% 1.10/1.11 (P4(a14,a14)),
% 1.10/1.11 inference(scs_inference,[],[28,29,30,42,43,44,26,67,46,48,2,23,3,90,101,99,116,81])).
% 1.10/1.11 cnf(135,plain,
% 1.10/1.11 (P5(a3,f15(a3))),
% 1.10/1.11 inference(scs_inference,[],[28,29,30,42,43,44,26,67,46,48,2,23,3,90,101,99,116,81,69,85])).
% 1.10/1.11 cnf(141,plain,
% 1.10/1.11 (E(f8(a12,a12),a12)),
% 1.10/1.11 inference(scs_inference,[],[28,29,30,42,43,44,26,67,46,48,2,23,3,90,101,99,116,81,69,85,80,79,77])).
% 1.10/1.11 cnf(149,plain,
% 1.10/1.11 (P1(f4(a1))),
% 1.10/1.11 inference(scs_inference,[],[28,29,30,42,43,44,26,67,46,48,2,23,3,90,101,99,116,81,69,85,80,79,77,76,74,73,72])).
% 1.10/1.11 cnf(151,plain,
% 1.10/1.11 (P1(f15(a3))),
% 1.10/1.11 inference(scs_inference,[],[28,29,30,42,43,44,26,67,46,48,2,23,3,90,101,99,116,81,69,85,80,79,77,76,74,73,72,71])).
% 1.10/1.11 cnf(153,plain,
% 1.10/1.11 (~E(f15(a3),a3)),
% 1.10/1.11 inference(scs_inference,[],[28,29,30,42,43,44,26,67,46,48,2,23,3,90,101,99,116,81,69,85,80,79,77,76,74,73,72,71,70])).
% 1.10/1.11 cnf(158,plain,
% 1.10/1.11 (E(f5(x1581,f2(a1)),f5(x1581,a13))),
% 1.10/1.11 inference(scs_inference,[],[28,29,30,42,43,44,26,67,46,48,2,23,3,90,101,99,116,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15])).
% 1.10/1.11 cnf(159,plain,
% 1.10/1.11 (E(f5(f2(a1),x1591),f5(a13,x1591))),
% 1.10/1.11 inference(scs_inference,[],[28,29,30,42,43,44,26,67,46,48,2,23,3,90,101,99,116,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14])).
% 1.10/1.11 cnf(166,plain,
% 1.10/1.11 (E(f4(f2(a1)),f4(a13))),
% 1.10/1.11 inference(scs_inference,[],[28,29,30,42,43,44,26,67,46,48,2,23,3,90,101,99,116,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7])).
% 1.10/1.11 cnf(170,plain,
% 1.10/1.11 (P4(a12,f5(a1,a1))),
% 1.10/1.11 inference(scs_inference,[],[28,29,30,42,43,44,26,67,46,48,2,23,3,90,101,99,116,81,69,85,80,79,77,76,74,73,72,71,70,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,95])).
% 1.10/1.11 cnf(240,plain,
% 1.10/1.11 (E(f15(f6(f4(a1))),f4(a1))),
% 1.10/1.11 inference(scs_inference,[],[45,28,67,149,93,78])).
% 1.10/1.11 cnf(258,plain,
% 1.10/1.11 (P1(f6(f4(a1)))),
% 1.10/1.11 inference(scs_inference,[],[31,45,28,67,149,93,78,105,100,111,110,113,120,92,91,75])).
% 1.10/1.11 cnf(266,plain,
% 1.10/1.11 (~E(a3,f4(a1))),
% 1.10/1.11 inference(scs_inference,[],[31,45,43,46,28,67,42,149,93,78,105,100,111,110,113,120,92,91,75,104,114,118,2])).
% 1.10/1.11 cnf(307,plain,
% 1.10/1.11 (E(a27,f2(a28))),
% 1.10/1.11 inference(scs_inference,[],[32,27,47,30,266,131,113,120,111,110,115,114,3,2])).
% 1.10/1.11 cnf(312,plain,
% 1.10/1.11 (P4(a17,a17)),
% 1.10/1.11 inference(scs_inference,[],[32,27,47,30,28,170,266,131,141,130,113,120,111,110,115,114,3,2,22,19,112,90])).
% 1.10/1.11 cnf(328,plain,
% 1.10/1.11 (E(f5(a13,f2(a1)),a17)),
% 1.10/1.11 inference(scs_inference,[],[33,49,45,29,158,307,124,108,23,120,3])).
% 1.10/1.11 cnf(349,plain,
% 1.10/1.11 (P2(f8(a19,a19))),
% 1.10/1.11 inference(scs_inference,[],[34,92])).
% 1.10/1.11 cnf(357,plain,
% 1.10/1.11 (P1(f4(f2(a1)))),
% 1.10/1.11 inference(scs_inference,[],[34,50,122,33,32,312,128,135,166,92,3,2,24,20,115,72])).
% 1.10/1.11 cnf(359,plain,
% 1.10/1.11 (P4(a12,f5(f2(a1),f2(a1)))),
% 1.10/1.11 inference(scs_inference,[],[34,50,122,33,32,312,128,135,166,92,3,2,24,20,115,72,95])).
% 1.10/1.11 cnf(363,plain,
% 1.10/1.11 (P4(a19,a19)),
% 1.10/1.11 inference(scs_inference,[],[34,50,122,33,32,258,312,128,135,166,92,3,2,24,20,115,72,95,88,81])).
% 1.10/1.11 cnf(371,plain,
% 1.10/1.11 (P5(f6(f4(a1)),f15(f6(f4(a1))))),
% 1.10/1.11 inference(scs_inference,[],[34,50,122,33,32,258,312,128,135,166,92,3,2,24,20,115,72,95,88,81,76,73,87,85])).
% 1.10/1.11 cnf(379,plain,
% 1.10/1.11 (P1(f15(f6(f4(a1))))),
% 1.10/1.11 inference(scs_inference,[],[34,50,122,33,32,258,312,128,135,166,92,3,2,24,20,115,72,95,88,81,76,73,87,85,80,77,74,71])).
% 1.10/1.11 cnf(381,plain,
% 1.10/1.11 (~E(f15(f6(f4(a1))),a3)),
% 1.10/1.11 inference(scs_inference,[],[34,50,122,33,32,258,312,128,135,166,92,3,2,24,20,115,72,95,88,81,76,73,87,85,80,77,74,71,70])).
% 1.10/1.11 cnf(391,plain,
% 1.10/1.11 (P4(a12,f8(a19,a19))),
% 1.10/1.11 inference(scs_inference,[],[27,34,50,122,33,32,258,312,128,135,166,92,3,2,24,20,115,72,95,88,81,76,73,87,85,80,77,74,71,70,16,15,14,10,9,8,7,6,94])).
% 1.10/1.11 cnf(411,plain,
% 1.10/1.11 (E(f9(x4111,f2(a28)),f9(x4111,a27))),
% 1.10/1.11 inference(scs_inference,[],[27,35,79,18,17,13])).
% 1.10/1.11 cnf(423,plain,
% 1.10/1.11 (P4(a12,f5(a13,f2(a1)))),
% 1.10/1.11 inference(scs_inference,[],[27,35,121,42,67,349,357,359,391,159,166,79,18,17,13,12,11,5,4,19,109,101,92,22])).
% 1.10/1.11 cnf(425,plain,
% 1.10/1.11 (~E(a3,f15(a3))),
% 1.10/1.11 inference(scs_inference,[],[27,35,121,42,67,349,357,153,359,391,159,166,79,18,17,13,12,11,5,4,19,109,101,92,22,2])).
% 1.10/1.11 cnf(464,plain,
% 1.10/1.11 (E(a19,f5(a13,a27))),
% 1.10/1.11 inference(scs_inference,[],[28,36,51,43,425,151,153,105,100,93,78,90,3,2])).
% 1.10/1.11 cnf(474,plain,
% 1.10/1.11 (P4(a12,a17)),
% 1.10/1.11 inference(scs_inference,[],[28,36,51,43,379,423,328,425,381,151,153,105,100,93,78,90,3,2,113,91,75,104,25,22])).
% 1.10/1.11 cnf(504,plain,
% 1.10/1.11 (E(f9(f8(a14,a14),x5041),f9(a20,x5041))),
% 1.10/1.11 inference(scs_inference,[],[37,52,30,46,32,43,42,474,312,151,153,131,111,110,113,102,91,104,75,116,12])).
% 1.10/1.11 cnf(540,plain,
% 1.10/1.11 (P1(f4(a27))),
% 1.10/1.11 inference(scs_inference,[],[29,54,45,363,504,371,411,240,464,111,113,110,120,25,114,21,3,2,72])).
% 1.10/1.11 cnf(605,plain,
% 1.10/1.11 (~E(f10(f10(f8(a23,a23),f8(a23,a26)),f10(f8(a26,a23),f8(a26,a26))),f8(f10(a23,a26),f10(a23,a26)))),
% 1.10/1.11 inference(scs_inference,[],[29,39,65,124,32,474,68,111,110,108,120,114,21,22])).
% 1.10/1.11 cnf(677,plain,
% 1.10/1.11 ($false),
% 1.10/1.11 inference(scs_inference,[],[40,38,122,605,540,71,105,93,100,120]),
% 1.10/1.11 ['proof']).
% 1.10/1.11 % SZS output end Proof
% 1.10/1.11 % Total time :0.460000s
%------------------------------------------------------------------------------