TSTP Solution File: RNG050+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG050+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n025.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 13:47:55 EDT 2023
% Result : Theorem 0.88s 0.99s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG050+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n025.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 02:43:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.88/0.97 %-------------------------------------------
% 0.88/0.97 % File :CSE---1.6
% 0.88/0.97 % Problem :theBenchmark
% 0.88/0.97 % Transform :cnf
% 0.88/0.97 % Format :tptp:raw
% 0.88/0.97 % Command :java -jar mcs_scs.jar %d %s
% 0.88/0.97
% 0.88/0.97 % Result :Theorem 0.330000s
% 0.88/0.97 % Output :CNFRefutation 0.330000s
% 0.88/0.97 %-------------------------------------------
% 0.88/0.98 %------------------------------------------------------------------------------
% 0.88/0.98 % File : RNG050+1 : TPTP v8.1.2. Released v4.0.0.
% 0.88/0.98 % Domain : Ring Theory
% 0.88/0.98 % Problem : Cauchy-Bouniakowsky-Schwarz inequality 04_04, 00 expansion
% 0.88/0.98 % Version : Especial.
% 0.88/0.98 % English :
% 0.88/0.98
% 0.88/0.98 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.88/0.98 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.88/0.98 % Source : [Pas08]
% 0.88/0.98 % Names : cauchy_04_04.00 [Pas08]
% 0.88/0.98
% 0.88/0.98 % Status : Theorem
% 0.88/0.98 % Rating : 0.14 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.04 v5.5.0, 0.11 v5.4.0, 0.18 v5.3.0, 0.19 v5.2.0, 0.05 v5.1.0, 0.19 v5.0.0, 0.29 v4.1.0, 0.35 v4.0.1, 0.78 v4.0.0
% 0.88/0.98 % Syntax : Number of formulae : 39 ( 3 unt; 1 def)
% 0.88/0.98 % Number of atoms : 154 ( 41 equ)
% 0.88/0.98 % Maximal formula atoms : 9 ( 3 avg)
% 0.88/0.98 % Number of connectives : 121 ( 6 ~; 1 |; 60 &)
% 0.88/0.98 % ( 1 <=>; 53 =>; 0 <=; 0 <~>)
% 0.88/0.98 % Maximal formula depth : 10 ( 5 avg)
% 0.88/0.98 % Maximal term depth : 5 ( 1 avg)
% 0.88/0.98 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 0.88/0.98 % Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% 0.88/0.98 % Number of variables : 69 ( 68 !; 1 ?)
% 0.88/0.98 % SPC : FOF_THM_RFO_SEQ
% 0.88/0.98
% 0.88/0.98 % Comments : Problem generated by the SAD system [VLP07]
% 0.88/0.98 %------------------------------------------------------------------------------
% 0.88/0.98 fof(mNatSort,axiom,
% 0.88/0.98 ! [W0] :
% 0.88/0.98 ( aNaturalNumber0(W0)
% 0.88/0.98 => $true ) ).
% 0.88/0.98
% 0.88/0.98 fof(mZeroNat,axiom,
% 0.88/0.98 aNaturalNumber0(sz00) ).
% 0.88/0.98
% 0.88/0.98 fof(mSuccNat,axiom,
% 0.88/0.98 ! [W0] :
% 0.88/0.98 ( aNaturalNumber0(W0)
% 0.88/0.98 => ( aNaturalNumber0(szszuzczcdt0(W0))
% 0.88/0.98 & szszuzczcdt0(W0) != sz00 ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mNatExtr,axiom,
% 0.88/0.98 ! [W0] :
% 0.88/0.98 ( ( aNaturalNumber0(W0)
% 0.88/0.98 & W0 != sz00 )
% 0.88/0.98 => ? [W1] :
% 0.88/0.98 ( aNaturalNumber0(W1)
% 0.88/0.98 & W0 = szszuzczcdt0(W1) ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mSuccEqu,axiom,
% 0.88/0.98 ! [W0,W1] :
% 0.88/0.98 ( ( aNaturalNumber0(W0)
% 0.88/0.98 & aNaturalNumber0(W1) )
% 0.88/0.98 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 0.88/0.98 => W0 = W1 ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mIHOrd,axiom,
% 0.88/0.98 ! [W0,W1] :
% 0.88/0.98 ( ( aNaturalNumber0(W0)
% 0.88/0.98 & aNaturalNumber0(W1) )
% 0.88/0.98 => ( iLess0(W0,W1)
% 0.88/0.98 => $true ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mIH,axiom,
% 0.88/0.98 ! [W0] :
% 0.88/0.98 ( aNaturalNumber0(W0)
% 0.88/0.98 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mScSort,axiom,
% 0.88/0.98 ! [W0] :
% 0.88/0.98 ( aScalar0(W0)
% 0.88/0.98 => $true ) ).
% 0.88/0.98
% 0.88/0.98 fof(mSZeroSc,axiom,
% 0.88/0.98 aScalar0(sz0z00) ).
% 0.88/0.98
% 0.88/0.98 fof(mSumSc,axiom,
% 0.88/0.98 ! [W0,W1] :
% 0.88/0.98 ( ( aScalar0(W0)
% 0.88/0.98 & aScalar0(W1) )
% 0.88/0.98 => aScalar0(sdtpldt0(W0,W1)) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mMulSc,axiom,
% 0.88/0.98 ! [W0,W1] :
% 0.88/0.98 ( ( aScalar0(W0)
% 0.88/0.98 & aScalar0(W1) )
% 0.88/0.98 => aScalar0(sdtasdt0(W0,W1)) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mNegSc,axiom,
% 0.88/0.98 ! [W0] :
% 0.88/0.98 ( aScalar0(W0)
% 0.88/0.98 => aScalar0(smndt0(W0)) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mScZero,axiom,
% 0.88/0.98 ! [W0] :
% 0.88/0.98 ( aScalar0(W0)
% 0.88/0.98 => ( sdtpldt0(W0,sz0z00) = W0
% 0.88/0.98 & sdtpldt0(sz0z00,W0) = W0
% 0.88/0.98 & sdtasdt0(W0,sz0z00) = sz0z00
% 0.88/0.98 & sdtasdt0(sz0z00,W0) = sz0z00
% 0.88/0.98 & sdtpldt0(W0,smndt0(W0)) = sz0z00
% 0.88/0.98 & sdtpldt0(smndt0(W0),W0) = sz0z00
% 0.88/0.98 & smndt0(smndt0(W0)) = W0
% 0.88/0.98 & smndt0(sz0z00) = sz0z00 ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mArith,axiom,
% 0.88/0.98 ! [W0,W1,W2] :
% 0.88/0.98 ( ( aScalar0(W0)
% 0.88/0.98 & aScalar0(W1)
% 0.88/0.98 & aScalar0(W2) )
% 0.88/0.98 => ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
% 0.88/0.98 & sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
% 0.88/0.98 & sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
% 0.88/0.98 & sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mDistr,axiom,
% 0.88/0.98 ! [W0,W1,W2] :
% 0.88/0.98 ( ( aScalar0(W0)
% 0.88/0.98 & aScalar0(W1)
% 0.88/0.98 & aScalar0(W2) )
% 0.88/0.98 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.88/0.98 & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mDistr2,axiom,
% 0.88/0.98 ! [W0,W1,W2,W3] :
% 0.88/0.98 ( ( aScalar0(W0)
% 0.88/0.98 & aScalar0(W1)
% 0.88/0.98 & aScalar0(W2)
% 0.88/0.98 & aScalar0(W3) )
% 0.88/0.98 => sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mMNeg,axiom,
% 0.88/0.98 ! [W0,W1] :
% 0.88/0.98 ( ( aScalar0(W0)
% 0.88/0.98 & aScalar0(W1) )
% 0.88/0.98 => ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
% 0.88/0.98 & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mMDNeg,axiom,
% 0.88/0.98 ! [W0,W1] :
% 0.88/0.98 ( ( aScalar0(W0)
% 0.88/0.98 & aScalar0(W1) )
% 0.88/0.98 => sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mLess,axiom,
% 0.88/0.98 ! [W0,W1] :
% 0.88/0.98 ( ( aScalar0(W0)
% 0.88/0.98 & aScalar0(W1) )
% 0.88/0.98 => ( sdtlseqdt0(W0,W1)
% 0.88/0.98 => $true ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mLERef,axiom,
% 0.88/0.98 ! [W0] :
% 0.88/0.98 ( aScalar0(W0)
% 0.88/0.98 => sdtlseqdt0(W0,W0) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mLEASm,axiom,
% 0.88/0.98 ! [W0,W1] :
% 0.88/0.98 ( ( aScalar0(W0)
% 0.88/0.98 & aScalar0(W1) )
% 0.88/0.98 => ( ( sdtlseqdt0(W0,W1)
% 0.88/0.98 & sdtlseqdt0(W1,W0) )
% 0.88/0.98 => W0 = W1 ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mLETrn,axiom,
% 0.88/0.98 ! [W0,W1,W2] :
% 0.88/0.98 ( ( aScalar0(W0)
% 0.88/0.98 & aScalar0(W1)
% 0.88/0.98 & aScalar0(W2) )
% 0.88/0.98 => ( ( sdtlseqdt0(W0,W1)
% 0.88/0.98 & sdtlseqdt0(W1,W2) )
% 0.88/0.98 => sdtlseqdt0(W0,W2) ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mLEMon,axiom,
% 0.88/0.98 ! [W0,W1,W2,W3] :
% 0.88/0.98 ( ( aScalar0(W0)
% 0.88/0.98 & aScalar0(W1)
% 0.88/0.98 & aScalar0(W2)
% 0.88/0.98 & aScalar0(W3) )
% 0.88/0.98 => ( ( sdtlseqdt0(W0,W1)
% 0.88/0.98 & sdtlseqdt0(W2,W3) )
% 0.88/0.98 => sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(mLEMonM,axiom,
% 0.88/0.98 ! [W0,W1,W2,W3] :
% 0.88/0.98 ( ( aScalar0(W0)
% 0.88/0.98 & aScalar0(W1)
% 0.88/0.98 & aScalar0(W2)
% 0.88/0.98 & aScalar0(W3) )
% 0.88/0.98 => ( ( sdtlseqdt0(W0,W1)
% 0.88/0.98 & sdtlseqdt0(sz0z00,W2)
% 0.88/0.98 & sdtlseqdt0(W2,W3) )
% 0.88/0.99 => sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ) ).
% 0.88/0.99
% 0.88/0.99 fof(mLETot,axiom,
% 0.88/0.99 ! [W0,W1] :
% 0.88/0.99 ( ( aScalar0(W0)
% 0.88/0.99 & aScalar0(W1) )
% 0.88/0.99 => ( sdtlseqdt0(W0,W1)
% 0.88/0.99 | sdtlseqdt0(W1,W0) ) ) ).
% 0.88/0.99
% 0.88/0.99 fof(mPosMon,axiom,
% 0.88/0.99 ! [W0,W1] :
% 0.88/0.99 ( ( aScalar0(W0)
% 0.88/0.99 & aScalar0(W1) )
% 0.88/0.99 => ( ( sdtlseqdt0(sz0z00,W0)
% 0.88/0.99 & sdtlseqdt0(sz0z00,W1) )
% 0.88/0.99 => ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))
% 0.88/0.99 & sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ) ).
% 0.88/0.99
% 0.88/0.99 fof(mSqPos,axiom,
% 0.88/0.99 ! [W0] :
% 0.88/0.99 ( aScalar0(W0)
% 0.88/0.99 => sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ) ).
% 0.88/0.99
% 0.88/0.99 fof(mSqrt,axiom,
% 0.88/0.99 ! [W0,W1] :
% 0.88/0.99 ( ( aScalar0(W0)
% 0.88/0.99 & aScalar0(W1) )
% 0.88/0.99 => ( ( sdtlseqdt0(sz0z00,W0)
% 0.88/0.99 & sdtlseqdt0(sz0z00,W1)
% 0.88/0.99 & sdtasdt0(W0,W0) = sdtasdt0(W1,W1) )
% 0.88/0.99 => W0 = W1 ) ) ).
% 0.88/0.99
% 0.88/0.99 fof(mVcSort,axiom,
% 0.88/0.99 ! [W0] :
% 0.88/0.99 ( aVector0(W0)
% 0.88/0.99 => $true ) ).
% 0.88/0.99
% 0.88/0.99 fof(mDimNat,axiom,
% 0.88/0.99 ! [W0] :
% 0.88/0.99 ( aVector0(W0)
% 0.88/0.99 => aNaturalNumber0(aDimensionOf0(W0)) ) ).
% 0.88/0.99
% 0.88/0.99 fof(mElmSc,axiom,
% 0.88/0.99 ! [W0,W1] :
% 0.88/0.99 ( ( aVector0(W0)
% 0.88/0.99 & aNaturalNumber0(W1) )
% 0.88/0.99 => aScalar0(sdtlbdtrb0(W0,W1)) ) ).
% 0.88/0.99
% 0.88/0.99 fof(mDefInit,definition,
% 0.88/0.99 ! [W0] :
% 0.88/0.99 ( aVector0(W0)
% 0.88/0.99 => ( aDimensionOf0(W0) != sz00
% 0.88/0.99 => ! [W1] :
% 0.88/0.99 ( W1 = sziznziztdt0(W0)
% 0.88/0.99 <=> ( aVector0(W1)
% 0.88/0.99 & szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)
% 0.88/0.99 & ! [W2] :
% 0.88/0.99 ( aNaturalNumber0(W2)
% 0.88/0.99 => sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ) ).
% 0.88/0.99
% 0.88/0.99 fof(mEqInit,axiom,
% 0.88/0.99 ! [W0,W1] :
% 0.88/0.99 ( ( aVector0(W0)
% 0.88/0.99 & aVector0(W1) )
% 0.88/0.99 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.88/0.99 & aDimensionOf0(W1) != sz00 )
% 0.88/0.99 => aDimensionOf0(sziznziztdt0(W0)) = aDimensionOf0(sziznziztdt0(W1)) ) ) ).
% 0.88/0.99
% 0.88/0.99 fof(mScPr,axiom,
% 0.88/0.99 ! [W0,W1] :
% 0.88/0.99 ( ( aVector0(W0)
% 0.88/0.99 & aVector0(W1) )
% 0.88/0.99 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.88/0.99 => aScalar0(sdtasasdt0(W0,W1)) ) ) ).
% 0.88/0.99
% 0.88/0.99 fof(mDefSPZ,axiom,
% 0.88/0.99 ! [W0,W1] :
% 0.88/0.99 ( ( aVector0(W0)
% 0.88/0.99 & aVector0(W1) )
% 0.88/0.99 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.88/0.99 & aDimensionOf0(W1) = sz00 )
% 0.88/0.99 => sdtasasdt0(W0,W1) = sz0z00 ) ) ).
% 0.88/0.99
% 0.88/0.99 fof(mDefSPN,axiom,
% 0.88/0.99 ! [W0,W1] :
% 0.88/0.99 ( ( aVector0(W0)
% 0.88/0.99 & aVector0(W1) )
% 0.88/0.99 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.88/0.99 & aDimensionOf0(W1) != sz00 )
% 0.88/0.99 => sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))) ) ) ).
% 0.88/0.99
% 0.88/0.99 fof(m__1542,hypothesis,
% 0.88/0.99 aVector0(xs) ).
% 0.88/0.99
% 0.88/0.99 fof(m__1516,hypothesis,
% 0.88/0.99 ! [W0] :
% 0.88/0.99 ( aVector0(W0)
% 0.88/0.99 => ( iLess0(aDimensionOf0(W0),aDimensionOf0(xs))
% 0.88/0.99 => sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ) ) ).
% 0.88/0.99
% 0.88/0.99 fof(m__,conjecture,
% 0.88/0.99 ( ( aDimensionOf0(xs) != sz00
% 0.88/0.99 => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
% 0.88/0.99 => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ) ).
% 0.88/0.99
% 0.88/0.99 %------------------------------------------------------------------------------
% 0.88/0.99 %-------------------------------------------
% 0.88/0.99 % Proof found
% 0.88/0.99 % SZS status Theorem for theBenchmark
% 0.88/0.99 % SZS output start Proof
% 0.88/0.99 %ClaNum:79(EqnAxiom:25)
% 0.88/0.99 %VarNum:297(SingletonVarNum:94)
% 0.88/0.99 %MaxLitNum:8
% 0.88/0.99 %MaxfuncDepth:4
% 0.88/0.99 %SharedTerms:13
% 0.88/0.99 %goalClause: 29 49
% 0.88/0.99 %singleGoalClaCount:1
% 0.88/0.99 [26]P1(a1)
% 0.88/0.99 [27]P2(a10)
% 0.88/0.99 [28]P3(a11)
% 0.88/0.99 [29]~P4(a10,f2(a11,a11))
% 0.88/0.99 [49]P4(a10,f2(a11,a11))+E(f3(a11),a1)
% 0.88/0.99 [42]~P2(x421)+P4(x421,x421)
% 0.88/0.99 [30]~P2(x301)+E(f6(a10),a10)
% 0.88/0.99 [31]~P1(x311)+~E(f12(x311),a1)
% 0.88/0.99 [32]~P1(x321)+P1(f12(x321))
% 0.88/0.99 [33]~P3(x331)+P1(f3(x331))
% 0.88/0.99 [34]~P2(x341)+P2(f6(x341))
% 0.88/0.99 [37]~P2(x371)+E(f7(x371,a10),a10)
% 0.88/0.99 [38]~P2(x381)+E(f7(a10,x381),a10)
% 0.88/0.99 [40]~P2(x401)+E(f8(x401,a10),x401)
% 0.88/0.99 [41]~P2(x411)+E(f8(a10,x411),x411)
% 0.88/0.99 [46]~P1(x461)+P5(x461,f12(x461))
% 0.88/0.99 [54]~P2(x541)+P4(a10,f7(x541,x541))
% 0.88/0.99 [35]~P2(x351)+E(f6(f6(x351)),x351)
% 0.88/0.99 [44]~P2(x441)+E(f8(x441,f6(x441)),a10)
% 0.88/0.99 [45]~P2(x451)+E(f8(f6(x451),x451),a10)
% 0.88/0.99 [36]~P1(x361)+E(x361,a1)+P1(f4(x361))
% 0.88/0.99 [67]~P3(x671)+~P5(f3(x671),f3(a11))+P4(a10,f2(x671,x671))
% 0.88/0.99 [39]~P1(x391)+E(x391,a1)+E(f12(f4(x391)),x391)
% 0.88/0.99 [51]~P2(x512)+~P2(x511)+P2(f8(x511,x512))
% 0.88/0.99 [52]~P2(x522)+~P2(x521)+P2(f7(x521,x522))
% 0.88/0.99 [53]~P1(x532)+~P3(x531)+P2(f9(x531,x532))
% 0.88/0.99 [59]~P2(x592)+~P2(x591)+E(f7(f6(x591),f6(x592)),f7(x591,x592))
% 0.88/0.99 [63]~P2(x632)+~P2(x631)+E(f6(f7(x631,x632)),f7(x631,f6(x632)))
% 0.88/0.99 [64]~P2(x642)+~P2(x641)+E(f6(f7(x641,x642)),f7(f6(x641),x642))
% 0.88/0.99 [50]P4(x502,x501)+~P2(x501)+~P2(x502)+P4(x501,x502)
% 0.88/0.99 [43]~P3(x431)+P3(x432)+~E(x432,f13(x431))+E(f3(x431),a1)
% 0.88/0.99 [47]~P1(x472)+~P1(x471)+E(x471,x472)+~E(f12(x471),f12(x472))
% 0.88/0.99 [61]~P3(x612)+~P3(x611)+~E(f3(x611),f3(x612))+P2(f2(x611,x612))
% 0.88/0.99 [48]~P3(x481)+~E(x482,f13(x481))+E(f3(x481),a1)+E(f12(f3(x482)),f3(x481))
% 0.88/0.99 [56]~P2(x562)+~P2(x561)+~P2(x563)+E(f8(x561,x562),f8(x562,x561))
% 0.88/0.99 [57]~P2(x572)+~P2(x571)+~P2(x573)+E(f7(x571,x572),f7(x572,x571))
% 0.88/0.99 [70]~P2(x703)+~P2(x702)+~P2(x701)+E(f8(f8(x701,x702),x703),f8(x701,f8(x702,x703)))
% 0.88/0.99 [71]~P2(x713)+~P2(x712)+~P2(x711)+E(f7(f7(x711,x712),x713),f7(x711,f7(x712,x713)))
% 0.88/0.99 [73]~P2(x733)+~P2(x732)+~P2(x731)+E(f8(f7(x731,x732),f7(x731,x733)),f7(x731,f8(x732,x733)))
% 0.88/0.99 [74]~P2(x742)+~P2(x743)+~P2(x741)+E(f8(f7(x741,x742),f7(x743,x742)),f7(f8(x741,x743),x742))
% 0.88/0.99 [62]~P2(x622)+~P2(x621)+~P4(x622,x621)+~P4(x621,x622)+E(x621,x622)
% 0.88/0.99 [55]~P3(x552)+~P3(x551)+~E(f3(x551),f3(x552))+~E(f3(x552),a1)+E(f2(x551,x552),a10)
% 0.88/0.99 [68]~P2(x682)+~P2(x681)+~P4(a10,x682)+~P4(a10,x681)+P4(a10,f8(x681,x682))
% 0.88/0.99 [69]~P2(x692)+~P2(x691)+~P4(a10,x692)+~P4(a10,x691)+P4(a10,f7(x691,x692))
% 0.88/0.99 [58]~P3(x581)+~P3(x582)+~E(f3(x582),f3(x581))+E(f3(x581),a1)+E(f3(f13(x582)),f3(f13(x581)))
% 0.88/0.99 [78]~P3(x781)+~P3(x782)+~E(f3(x782),f3(x781))+E(f3(x781),a1)+E(f8(f2(f13(x782),f13(x781)),f7(f9(x782,f3(x782)),f9(x781,f3(x781)))),f2(x782,x781))
% 0.88/0.99 [60]~P1(x603)+~P3(x601)+~E(x602,f13(x601))+E(f9(x602,x603),f9(x601,x603))+E(f3(x601),a1)
% 0.88/0.99 [79]~P2(x793)+~P2(x792)+~P2(x794)+~P2(x791)+E(f8(f8(f7(x791,x792),f7(x791,x793)),f8(f7(x794,x792),f7(x794,x793))),f7(f8(x791,x794),f8(x792,x793)))
% 0.88/0.99 [72]~P2(x722)+~P2(x721)+E(x721,x722)+~E(f7(x721,x721),f7(x722,x722))+~P4(a10,x722)+~P4(a10,x721)
% 0.88/0.99 [65]~P3(x651)+~P3(x652)+E(x651,f13(x652))+E(f3(x652),a1)+P1(f5(x652,x651))+~E(f12(f3(x651)),f3(x652))
% 0.88/0.99 [77]~P3(x772)+~P3(x771)+E(x771,f13(x772))+E(f3(x772),a1)+~E(f12(f3(x771)),f3(x772))+~E(f9(x771,f5(x772,x771)),f9(x772,f5(x772,x771)))
% 0.88/0.99 [66]~P2(x662)+~P2(x661)+~P4(x663,x662)+~P4(x661,x663)+P4(x661,x662)+~P2(x663)
% 0.88/0.99 [75]~P2(x754)+~P2(x752)+~P2(x753)+~P2(x751)+~P4(x752,x754)+~P4(x751,x753)+P4(f8(x751,x752),f8(x753,x754))
% 0.88/0.99 [76]~P2(x764)+~P2(x762)+~P2(x763)+~P2(x761)+~P4(x762,x764)+~P4(x761,x763)+~P4(a10,x762)+P4(f7(x761,x762),f7(x763,x764))
% 0.88/0.99 %EqnAxiom
% 0.88/0.99 [1]E(x11,x11)
% 0.88/0.99 [2]E(x22,x21)+~E(x21,x22)
% 0.88/0.99 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.88/0.99 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.88/0.99 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.88/0.99 [6]~E(x61,x62)+E(f6(x61),f6(x62))
% 0.88/0.99 [7]~E(x71,x72)+E(f12(x71),f12(x72))
% 0.88/0.99 [8]~E(x81,x82)+E(f9(x81,x83),f9(x82,x83))
% 0.88/0.99 [9]~E(x91,x92)+E(f9(x93,x91),f9(x93,x92))
% 0.88/0.99 [10]~E(x101,x102)+E(f3(x101),f3(x102))
% 0.88/0.99 [11]~E(x111,x112)+E(f7(x111,x113),f7(x112,x113))
% 0.88/0.99 [12]~E(x121,x122)+E(f7(x123,x121),f7(x123,x122))
% 0.88/0.99 [13]~E(x131,x132)+E(f8(x131,x133),f8(x132,x133))
% 0.88/0.99 [14]~E(x141,x142)+E(f8(x143,x141),f8(x143,x142))
% 0.88/0.99 [15]~E(x151,x152)+E(f13(x151),f13(x152))
% 0.88/0.99 [16]~E(x161,x162)+E(f4(x161),f4(x162))
% 0.88/0.99 [17]~E(x171,x172)+E(f5(x171,x173),f5(x172,x173))
% 0.88/0.99 [18]~E(x181,x182)+E(f5(x183,x181),f5(x183,x182))
% 0.88/0.99 [19]~P1(x191)+P1(x192)+~E(x191,x192)
% 0.88/0.99 [20]~P2(x201)+P2(x202)+~E(x201,x202)
% 0.88/0.99 [21]~P3(x211)+P3(x212)+~E(x211,x212)
% 0.88/0.99 [22]P4(x222,x223)+~E(x221,x222)+~P4(x221,x223)
% 0.88/0.99 [23]P4(x233,x232)+~E(x231,x232)+~P4(x233,x231)
% 0.88/0.99 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243)
% 0.88/0.99 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251)
% 0.88/0.99
% 0.88/0.99 %-------------------------------------------
% 0.88/0.99 cnf(81,plain,
% 0.88/0.99 (P4(a10,a10)),
% 0.88/0.99 inference(scs_inference,[],[29,27,28,67,50])).
% 0.88/0.99 cnf(82,plain,
% 0.88/0.99 (P4(f7(a10,a10),f7(a10,a10))),
% 0.88/0.99 inference(scs_inference,[],[29,27,28,67,50,76])).
% 0.88/0.99 cnf(83,plain,
% 0.88/0.99 (E(f6(a10),a10)),
% 0.88/0.99 inference(scs_inference,[],[29,27,28,67,50,76,30])).
% 0.88/0.99 cnf(85,plain,
% 0.88/0.99 (E(f3(a11),a1)),
% 0.88/0.99 inference(scs_inference,[],[29,27,28,67,50,76,30,49])).
% 0.88/0.99 cnf(88,plain,
% 0.88/0.99 (E(f8(a10,a10),a10)),
% 0.88/0.99 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41])).
% 0.88/0.99 cnf(90,plain,
% 0.88/0.99 (E(f7(a10,a10),a10)),
% 0.88/0.99 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38])).
% 0.88/0.99 cnf(92,plain,
% 0.88/0.99 (E(f6(f6(a10)),a10)),
% 0.88/0.99 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38,35])).
% 0.88/0.99 cnf(94,plain,
% 0.88/0.99 (P2(f6(a10))),
% 0.88/0.99 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38,35,34])).
% 0.88/0.99 cnf(96,plain,
% 0.88/0.99 (P1(f3(a11))),
% 0.88/0.99 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38,35,34,33])).
% 0.88/0.99 cnf(98,plain,
% 0.88/0.99 (P1(f12(a1))),
% 0.88/0.99 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38,35,34,33,32])).
% 0.88/0.99 cnf(100,plain,
% 0.88/0.99 (~E(f12(a1),a1)),
% 0.88/0.99 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38,35,34,33,32,31])).
% 0.88/0.99 cnf(102,plain,
% 0.88/0.99 (E(f5(x1021,f6(a10)),f5(x1021,a10))),
% 0.88/0.99 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38,35,34,33,32,31,18])).
% 0.88/0.99 cnf(103,plain,
% 0.88/0.99 (E(f5(f6(a10),x1031),f5(a10,x1031))),
% 0.88/0.99 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38,35,34,33,32,31,18,17])).
% 0.88/0.99 cnf(105,plain,
% 0.88/0.99 (E(f13(f6(a10)),f13(a10))),
% 0.88/1.00 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38,35,34,33,32,31,18,17,16,15])).
% 0.88/1.00 cnf(108,plain,
% 0.88/1.00 (E(f7(x1081,f6(a10)),f7(x1081,a10))),
% 0.88/1.00 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38,35,34,33,32,31,18,17,16,15,14,13,12])).
% 0.88/1.00 cnf(109,plain,
% 0.88/1.00 (E(f7(f6(a10),x1091),f7(a10,x1091))),
% 0.88/1.00 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38,35,34,33,32,31,18,17,16,15,14,13,12,11])).
% 0.88/1.00 cnf(112,plain,
% 0.88/1.00 (E(f9(f6(a10),x1121),f9(a10,x1121))),
% 0.88/1.00 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38,35,34,33,32,31,18,17,16,15,14,13,12,11,10,9,8])).
% 0.88/1.00 cnf(117,plain,
% 0.88/1.00 (P4(a10,f7(a10,a10))),
% 0.88/1.00 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38,35,34,33,32,31,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,54])).
% 0.88/1.00 cnf(127,plain,
% 0.88/1.00 (~E(f12(a1),f3(a11))),
% 0.88/1.00 inference(scs_inference,[],[29,26,27,28,67,50,76,30,49,46,41,38,35,34,33,32,31,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,54,45,44,25,24,23,22,3])).
% 0.88/1.00 cnf(133,plain,
% 0.88/1.00 (E(f7(f7(a10,a10),a10),f7(a10,f7(a10,a10)))),
% 0.88/1.00 inference(scs_inference,[],[27,127,96,98,47,71])).
% 0.88/1.00 cnf(137,plain,
% 0.88/1.00 (E(f8(f7(a10,a10),f7(a10,a10)),f7(f8(a10,a10),a10))),
% 0.88/1.00 inference(scs_inference,[],[27,127,96,98,47,71,70,74])).
% 0.88/1.00 cnf(139,plain,
% 0.88/1.00 (E(f8(f7(a10,a10),f7(a10,a10)),f7(a10,f8(a10,a10)))),
% 0.88/1.00 inference(scs_inference,[],[27,127,96,98,47,71,70,74,73])).
% 0.88/1.00 cnf(141,plain,
% 0.88/1.00 (P4(a10,f8(a10,a10))),
% 0.88/1.00 inference(scs_inference,[],[27,127,81,96,98,47,71,70,74,73,68])).
% 0.88/1.00 cnf(143,plain,
% 0.88/1.00 (E(f8(f8(f7(a10,a10),f7(a10,a10)),f8(f7(a10,a10),f7(a10,a10))),f7(f8(a10,a10),f8(a10,a10)))),
% 0.88/1.00 inference(scs_inference,[],[27,127,81,96,98,47,71,70,74,73,68,79])).
% 0.88/1.00 cnf(145,plain,
% 0.88/1.00 (P4(f8(a10,a10),f8(a10,a10))),
% 0.88/1.00 inference(scs_inference,[],[27,127,81,96,98,47,71,70,74,73,68,79,75])).
% 0.88/1.00 cnf(147,plain,
% 0.88/1.00 (P4(f6(a10),f6(a10))),
% 0.88/1.00 inference(scs_inference,[],[27,127,81,94,96,98,47,71,70,74,73,68,79,75,42])).
% 0.88/1.00 cnf(151,plain,
% 0.88/1.00 (E(f7(f6(a10),a10),a10)),
% 0.88/1.00 inference(scs_inference,[],[27,127,81,94,96,98,47,71,70,74,73,68,79,75,42,40,37])).
% 0.88/1.00 cnf(153,plain,
% 0.88/1.00 (P4(f6(a10),a10)),
% 0.88/1.00 inference(scs_inference,[],[27,127,81,94,96,98,83,47,71,70,74,73,68,79,75,42,40,37,23])).
% 0.88/1.00 cnf(157,plain,
% 0.88/1.00 (~E(f3(a11),f12(a1))),
% 0.88/1.00 inference(scs_inference,[],[27,127,102,103,81,94,96,98,83,47,71,70,74,73,68,79,75,42,40,37,23,3,2])).
% 0.88/1.00 cnf(160,plain,
% 0.88/1.00 (P2(f9(a11,a1))),
% 0.88/1.00 inference(scs_inference,[],[29,28,26,27,127,102,103,81,94,96,98,92,83,47,71,70,74,73,68,79,75,42,40,37,23,3,2,22,21,53])).
% 0.88/1.00 cnf(162,plain,
% 0.88/1.00 (P2(f7(a10,a10))),
% 0.88/1.00 inference(scs_inference,[],[29,28,26,27,127,102,103,81,94,96,98,92,83,47,71,70,74,73,68,79,75,42,40,37,23,3,2,22,21,53,52])).
% 0.88/1.00 cnf(164,plain,
% 0.88/1.00 (P2(f8(a10,a10))),
% 0.88/1.00 inference(scs_inference,[],[29,28,26,27,127,102,103,81,94,96,98,92,83,47,71,70,74,73,68,79,75,42,40,37,23,3,2,22,21,53,52,51])).
% 0.88/1.00 cnf(166,plain,
% 0.88/1.00 (E(f12(f4(f12(a1))),f12(a1))),
% 0.88/1.00 inference(scs_inference,[],[29,28,26,27,127,102,103,81,94,96,98,92,100,83,47,71,70,74,73,68,79,75,42,40,37,23,3,2,22,21,53,52,51,39])).
% 0.88/1.00 cnf(168,plain,
% 0.88/1.00 (P1(f4(f12(a1)))),
% 0.88/1.00 inference(scs_inference,[],[29,28,26,27,127,102,103,81,94,96,98,92,100,83,47,71,70,74,73,68,79,75,42,40,37,23,3,2,22,21,53,52,51,39,36])).
% 0.88/1.00 cnf(170,plain,
% 0.88/1.00 (E(f6(f7(a10,a10)),f7(f6(a10),a10))),
% 0.88/1.00 inference(scs_inference,[],[29,28,26,27,127,102,103,81,94,96,98,92,100,83,47,71,70,74,73,68,79,75,42,40,37,23,3,2,22,21,53,52,51,39,36,64])).
% 0.88/1.00 cnf(178,plain,
% 0.88/1.00 (P4(f7(a10,a10),f7(f7(a10,a10),f7(a10,a10)))),
% 0.88/1.00 inference(scs_inference,[],[29,28,26,27,127,117,102,103,81,94,96,98,92,100,83,47,71,70,74,73,68,79,75,42,40,37,23,3,2,22,21,53,52,51,39,36,64,63,59,69,76])).
% 0.88/1.00 cnf(193,plain,
% 0.88/1.00 (E(f7(f6(f7(a10,a10)),f6(f7(a10,a10))),f7(f7(a10,a10),f7(a10,a10)))),
% 0.88/1.00 inference(scs_inference,[],[162,59])).
% 0.88/1.00 cnf(197,plain,
% 0.88/1.00 (P2(f7(f7(a10,a10),f7(a10,a10)))),
% 0.88/1.00 inference(scs_inference,[],[27,162,141,164,81,59,75,52])).
% 0.88/1.00 cnf(199,plain,
% 0.88/1.00 (P2(f8(f7(a10,a10),f7(a10,a10)))),
% 0.88/1.00 inference(scs_inference,[],[27,162,141,164,81,59,75,52,51])).
% 0.88/1.00 cnf(207,plain,
% 0.88/1.00 (E(f4(f12(a1)),a1)),
% 0.88/1.00 inference(scs_inference,[],[26,27,162,141,166,164,168,81,59,75,52,51,64,63,68,47])).
% 0.88/1.00 cnf(213,plain,
% 0.88/1.00 (P4(f8(a10,a10),a10)),
% 0.88/1.00 inference(scs_inference,[],[26,27,178,145,162,141,133,166,164,88,108,168,81,59,75,52,51,64,63,68,47,76,3,23])).
% 0.88/1.00 cnf(214,plain,
% 0.88/1.00 (E(f7(f8(a10,a10),f8(a10,a10)),f8(f8(f7(a10,a10),f7(a10,a10)),f8(f7(a10,a10),f7(a10,a10))))),
% 0.88/1.00 inference(scs_inference,[],[26,27,178,145,143,162,141,133,166,164,88,108,168,81,59,75,52,51,64,63,68,47,76,3,23,2])).
% 0.88/1.00 cnf(215,plain,
% 0.88/1.00 (P4(a10,f7(f7(a10,a10),f7(a10,a10)))),
% 0.88/1.00 inference(scs_inference,[],[26,27,178,145,143,162,141,133,166,164,88,108,168,90,81,59,75,52,51,64,63,68,47,76,3,23,2,22])).
% 0.88/1.00 cnf(217,plain,
% 0.88/1.00 (E(f8(f8(f7(a10,a10),f7(a10,a10)),f7(a10,a10)),f8(f7(a10,a10),f8(f7(a10,a10),f7(a10,a10))))),
% 0.88/1.00 inference(scs_inference,[],[26,27,178,145,143,162,141,133,166,164,88,108,168,90,81,59,75,52,51,64,63,68,47,76,3,23,2,22,20,70])).
% 0.88/1.00 cnf(221,plain,
% 0.88/1.00 (E(a10,f8(a10,a10))),
% 0.88/1.00 inference(scs_inference,[],[26,27,178,145,143,162,141,133,166,164,88,108,168,90,81,59,75,52,51,64,63,68,47,76,3,23,2,22,20,70,73,62])).
% 0.88/1.00 cnf(238,plain,
% 0.88/1.00 (E(f8(f7(f9(a11,a1),f9(a11,a1)),f7(f9(a11,a1),f9(a11,a1))),f7(f9(a11,a1),f8(f9(a11,a1),f9(a11,a1))))),
% 0.88/1.00 inference(scs_inference,[],[160,73])).
% 0.88/1.00 cnf(248,plain,
% 0.88/1.00 (E(f8(f7(f9(a11,a1),f9(a11,a1)),f7(f9(a11,a1),f9(a11,a1))),f7(f8(f9(a11,a1),f9(a11,a1)),f9(a11,a1)))),
% 0.88/1.00 inference(scs_inference,[],[27,197,157,160,215,96,98,81,73,70,47,69,71,74])).
% 0.88/1.00 cnf(250,plain,
% 0.88/1.00 (P4(f7(f8(a10,a10),f8(a10,a10)),f7(f8(a10,a10),f8(a10,a10)))),
% 0.88/1.00 inference(scs_inference,[],[27,197,157,160,215,145,96,98,164,141,81,73,70,47,69,71,74,76])).
% 0.88/1.00 cnf(253,plain,
% 0.88/1.00 (~P4(f7(f6(a10),a10),f2(a11,a11))),
% 0.88/1.00 inference(scs_inference,[],[27,197,85,157,160,215,151,145,96,98,164,141,29,81,73,70,47,69,71,74,76,3,22])).
% 0.88/1.00 cnf(255,plain,
% 0.88/1.00 (~E(f2(a11,a11),f7(f7(a10,a10),f7(a10,a10)))),
% 0.88/1.00 inference(scs_inference,[],[27,197,85,157,160,215,151,145,96,98,164,141,29,81,73,70,47,69,71,74,76,3,22,23,2])).
% 0.88/1.00 cnf(256,plain,
% 0.88/1.00 (E(f2(a11,a11),a10)),
% 0.88/1.00 inference(scs_inference,[],[28,27,197,85,157,160,215,151,145,96,98,164,141,29,81,73,70,47,69,71,74,76,3,22,23,2,55])).
% 0.88/1.00 cnf(258,plain,
% 0.88/1.00 (P4(f8(a10,a10),f7(f7(a10,a10),f7(a10,a10)))),
% 0.88/1.00 inference(scs_inference,[],[28,27,197,85,157,160,213,215,151,145,96,98,164,141,29,81,73,70,47,69,71,74,76,3,22,23,2,55,66])).
% 0.96/1.00 cnf(260,plain,
% 0.96/1.00 (P2(f7(a10,f8(a10,a10)))),
% 0.96/1.00 inference(scs_inference,[],[28,27,197,199,85,139,157,160,213,215,151,145,96,98,164,141,29,81,73,70,47,69,71,74,76,3,22,23,2,55,66,20])).
% 0.96/1.00 cnf(273,plain,
% 0.96/1.00 (P2(f9(a11,f4(f12(a1))))),
% 0.96/1.00 inference(scs_inference,[],[28,168,53])).
% 0.96/1.00 cnf(281,plain,
% 0.96/1.00 (P2(f8(f7(a10,f8(a10,a10)),f7(a10,f8(a10,a10))))),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,258,260,168,197,117,215,164,162,53,75,69,68,51])).
% 0.96/1.00 cnf(283,plain,
% 0.96/1.00 (P4(f7(f8(a10,a10),f8(a10,a10)),f7(f8(a10,a10),f7(f7(a10,a10),f7(a10,a10))))),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,258,260,168,145,197,117,215,141,164,162,53,75,69,68,51,76])).
% 0.96/1.00 cnf(287,plain,
% 0.96/1.00 (P4(f7(f8(a10,a10),f8(a10,a10)),f8(f8(f7(a10,a10),f7(a10,a10)),f8(f7(a10,a10),f7(a10,a10))))),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,258,250,214,260,170,109,168,145,197,117,215,141,164,162,53,75,69,68,51,76,3,23])).
% 0.96/1.00 cnf(288,plain,
% 0.96/1.00 (P4(f8(f8(f7(a10,a10),f7(a10,a10)),f8(f7(a10,a10),f7(a10,a10))),f7(f8(a10,a10),f8(a10,a10)))),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,258,250,214,260,170,109,168,145,197,117,215,141,164,162,53,75,69,68,51,76,3,23,22])).
% 0.96/1.00 cnf(297,plain,
% 0.96/1.00 (~E(f12(f4(f12(a1))),a1)),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,258,217,250,214,260,170,109,168,145,197,117,215,98,141,164,162,53,75,69,68,51,76,3,23,22,2,19,38,45,44,31])).
% 0.96/1.00 cnf(301,plain,
% 0.96/1.00 (P2(f6(f7(a10,f8(a10,a10))))),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,258,217,250,214,260,170,109,168,145,197,117,215,98,141,164,162,53,75,69,68,51,76,3,23,22,2,19,38,45,44,31,54,34])).
% 0.96/1.00 cnf(303,plain,
% 0.96/1.00 (P5(f4(f12(a1)),f12(f4(f12(a1))))),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,258,217,250,214,260,170,109,168,145,197,117,215,98,141,164,162,53,75,69,68,51,76,3,23,22,2,19,38,45,44,31,54,34,46])).
% 0.96/1.00 cnf(310,plain,
% 0.96/1.00 (E(f7(f8(f7(a10,a10),f7(a10,a10)),x3101),f7(f7(f8(a10,a10),a10),x3101))),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,258,217,250,214,137,260,170,109,168,145,197,117,215,98,141,164,162,53,75,69,68,51,76,3,23,22,2,19,38,45,44,31,54,34,46,41,35,16,11])).
% 0.96/1.00 cnf(320,plain,
% 0.96/1.00 (P1(f12(f4(f12(a1))))),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,258,217,250,214,137,260,170,109,112,105,168,145,197,117,215,98,141,164,162,53,75,69,68,51,76,3,23,22,2,19,38,45,44,31,54,34,46,41,35,16,11,5,4,8,15,48,77,32])).
% 0.96/1.00 cnf(324,plain,
% 0.96/1.00 (E(f8(x3241,f8(f7(a10,a10),f7(a10,a10))),f8(x3241,f7(f8(a10,a10),a10)))),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,258,217,250,214,137,260,170,109,112,105,168,145,197,117,215,98,141,164,162,53,75,69,68,51,76,3,23,22,2,19,38,45,44,31,54,34,46,41,35,16,11,5,4,8,15,48,77,32,18,17,14])).
% 0.96/1.00 cnf(325,plain,
% 0.96/1.00 (E(f8(f8(f7(a10,a10),f7(a10,a10)),x3251),f8(f7(f8(a10,a10),a10),x3251))),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,258,217,250,214,137,260,170,109,112,105,168,145,197,117,215,98,141,164,162,53,75,69,68,51,76,3,23,22,2,19,38,45,44,31,54,34,46,41,35,16,11,5,4,8,15,48,77,32,18,17,14,13])).
% 0.96/1.00 cnf(326,plain,
% 0.96/1.00 (E(f7(x3261,f8(f7(a10,a10),f7(a10,a10))),f7(x3261,f7(f8(a10,a10),a10)))),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,258,217,250,214,137,260,170,109,112,105,168,145,197,117,215,98,141,164,162,53,75,69,68,51,76,3,23,22,2,19,38,45,44,31,54,34,46,41,35,16,11,5,4,8,15,48,77,32,18,17,14,13,12])).
% 0.96/1.00 cnf(343,plain,
% 0.96/1.00 (P4(f7(f6(a10),a10),f7(f6(a10),a10))),
% 0.96/1.00 inference(scs_inference,[],[27,81,301,147,320,297,94,26,75,47,51,76])).
% 0.96/1.00 cnf(347,plain,
% 0.96/1.00 (~E(a10,f2(a11,a11))),
% 0.96/1.00 inference(scs_inference,[],[27,81,193,301,255,207,147,320,303,297,94,26,29,75,47,51,76,24,3,23])).
% 0.96/1.00 cnf(348,plain,
% 0.96/1.00 (P4(f8(f8(f7(a10,a10),f7(a10,a10)),f8(f7(a10,a10),f7(a10,a10))),f7(f8(a10,a10),f7(f7(a10,a10),f7(a10,a10))))),
% 0.96/1.00 inference(scs_inference,[],[27,81,283,193,301,255,207,147,320,303,297,214,94,26,29,75,47,51,76,24,3,23,22])).
% 0.96/1.00 cnf(350,plain,
% 0.96/1.00 (P2(f2(a11,a11))),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,283,193,301,255,207,147,320,303,297,214,94,26,29,75,47,51,76,24,3,23,22,2,61])).
% 0.96/1.00 cnf(360,plain,
% 0.96/1.00 (~P4(f7(f7(a10,a10),f7(a10,a10)),f2(a11,a11))),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,283,193,281,301,255,207,147,320,303,297,214,94,215,26,197,29,75,47,51,76,24,3,23,22,2,61,40,36,42,37,66])).
% 0.96/1.00 cnf(363,plain,
% 0.96/1.00 (P4(f2(a11,a11),a10)),
% 0.96/1.00 inference(scs_inference,[],[27,28,81,283,193,281,301,255,207,147,320,303,297,214,166,94,215,26,197,29,75,47,51,76,24,3,23,22,2,61,40,36,42,37,66,25,50])).
% 0.96/1.00 cnf(376,plain,
% 0.96/1.00 (~E(f8(a10,a10),f2(a11,a11))),
% 0.96/1.00 inference(scs_inference,[],[81,347,360,363,350,221,147,94,197,27,75,50,76,3])).
% 0.96/1.00 cnf(379,plain,
% 0.96/1.00 (E(f7(f8(f9(a11,a1),f9(a11,a1)),f9(a11,a1)),f8(f7(f9(a11,a1),f9(a11,a1)),f7(f9(a11,a1),f9(a11,a1))))),
% 0.96/1.00 inference(scs_inference,[],[81,347,360,248,343,253,363,350,221,193,147,94,197,27,75,50,76,3,23,22,2])).
% 0.96/1.00 cnf(380,plain,
% 0.96/1.00 (P2(f7(f2(a11,a11),f2(a11,a11)))),
% 0.96/1.00 inference(scs_inference,[],[81,347,360,248,343,253,363,350,221,193,147,94,197,27,75,50,76,3,23,22,2,52])).
% 0.96/1.00 cnf(398,plain,
% 0.96/1.00 (P2(f7(f7(f2(a11,a11),f2(a11,a11)),f7(f2(a11,a11),f2(a11,a11))))),
% 0.96/1.00 inference(scs_inference,[],[380,52])).
% 0.96/1.00 cnf(418,plain,
% 0.96/1.00 (E(f8(x4181,f8(f7(a10,a10),f7(a10,a10))),f8(x4181,f7(f8(a10,a10),a10)))),
% 0.96/1.00 inference(rename_variables,[],[324])).
% 0.96/1.00 cnf(421,plain,
% 0.96/1.00 (~E(f2(a11,a11),f8(a10,a10))),
% 0.96/1.00 inference(scs_inference,[],[348,287,376,380,379,238,324,418,153,147,160,350,94,27,52,59,73,64,71,70,63,74,75,3,23,22,2])).
% 0.96/1.00 cnf(457,plain,
% 0.96/1.00 (P1(f12(f3(a11)))),
% 0.96/1.00 inference(scs_inference,[],[83,82,81,398,288,310,325,326,273,199,90,96,117,215,141,197,164,162,27,69,68,76,3,23,22,2,45,54,34,38,44,32])).
% 0.96/1.00 cnf(459,plain,
% 0.96/1.00 (~E(f12(f3(a11)),a1)),
% 0.96/1.00 inference(scs_inference,[],[83,82,81,398,288,310,325,326,273,199,90,96,117,215,141,197,164,162,27,69,68,76,3,23,22,2,45,54,34,38,44,32,31])).
% 0.96/1.00 cnf(520,plain,
% 0.96/1.00 ($false),
% 0.96/1.00 inference(scs_inference,[],[82,81,421,256,457,459,221,380,117,215,197,164,162,27,36,73,71,74,70,68,51,76,3]),
% 0.96/1.00 ['proof']).
% 0.96/1.00 % SZS output end Proof
% 0.96/1.00 % Total time :0.330000s
%------------------------------------------------------------------------------