TSTP Solution File: RNG074+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG074+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 : n014.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 0.69s 0.85s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG074+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
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 02:01:46 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.61 start to proof:theBenchmark
% 0.69/0.83 %-------------------------------------------
% 0.69/0.83 % File :CSE---1.6
% 0.69/0.83 % Problem :theBenchmark
% 0.69/0.83 % Transform :cnf
% 0.69/0.83 % Format :tptp:raw
% 0.69/0.83 % Command :java -jar mcs_scs.jar %d %s
% 0.69/0.83
% 0.69/0.83 % Result :Theorem 0.150000s
% 0.69/0.83 % Output :CNFRefutation 0.150000s
% 0.69/0.83 %-------------------------------------------
% 0.69/0.84 %------------------------------------------------------------------------------
% 0.69/0.84 % File : RNG074+1 : TPTP v8.1.2. Released v4.0.0.
% 0.69/0.84 % Domain : Ring Theory
% 0.69/0.84 % Problem : Cauchy-Bouniakowsky-Schwarz inequality 05_16_08, 00 expansion
% 0.69/0.84 % Version : Especial.
% 0.69/0.84 % English :
% 0.69/0.84
% 0.69/0.84 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.69/0.84 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.69/0.84 % Source : [Pas08]
% 0.69/0.84 % Names : cauchy_05_16_08.00 [Pas08]
% 0.69/0.84
% 0.69/0.84 % Status : ContradictoryAxioms
% 0.69/0.84 % Rating : 0.14 v7.5.0, 0.09 v7.4.0, 0.29 v7.3.0, 0.00 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.11 v5.4.0, 0.21 v5.3.0, 0.22 v5.2.0, 0.20 v5.1.0, 0.33 v4.1.0, 0.48 v4.0.1, 0.70 v4.0.0
% 0.69/0.84 % Syntax : Number of formulae : 65 ( 13 unt; 1 def)
% 0.69/0.84 % Number of atoms : 197 ( 58 equ)
% 0.69/0.84 % Maximal formula atoms : 9 ( 3 avg)
% 0.69/0.84 % Number of connectives : 139 ( 7 ~; 1 |; 77 &)
% 0.69/0.84 % ( 1 <=>; 53 =>; 0 <=; 0 <~>)
% 0.69/0.84 % Maximal formula depth : 10 ( 4 avg)
% 0.69/0.84 % Maximal term depth : 5 ( 1 avg)
% 0.69/0.84 % Number of predicates : 8 ( 5 usr; 2 prp; 0-2 aty)
% 0.69/0.84 % Number of functors : 26 ( 26 usr; 18 con; 0-2 aty)
% 0.69/0.84 % Number of variables : 71 ( 70 !; 1 ?)
% 0.69/0.84 % SPC : FOF_CAX_RFO_SEQ
% 0.69/0.84
% 0.69/0.84 % Comments : Problem generated by the SAD system [VLP07]
% 0.69/0.84 %------------------------------------------------------------------------------
% 0.69/0.84 fof(mNatSort,axiom,
% 0.69/0.84 ! [W0] :
% 0.69/0.84 ( aNaturalNumber0(W0)
% 0.69/0.84 => $true ) ).
% 0.69/0.84
% 0.69/0.84 fof(mZeroNat,axiom,
% 0.69/0.84 aNaturalNumber0(sz00) ).
% 0.69/0.84
% 0.69/0.84 fof(mSuccNat,axiom,
% 0.69/0.84 ! [W0] :
% 0.69/0.84 ( aNaturalNumber0(W0)
% 0.69/0.84 => ( aNaturalNumber0(szszuzczcdt0(W0))
% 0.69/0.84 & szszuzczcdt0(W0) != sz00 ) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mNatExtr,axiom,
% 0.69/0.84 ! [W0] :
% 0.69/0.84 ( ( aNaturalNumber0(W0)
% 0.69/0.84 & W0 != sz00 )
% 0.69/0.84 => ? [W1] :
% 0.69/0.84 ( aNaturalNumber0(W1)
% 0.69/0.84 & W0 = szszuzczcdt0(W1) ) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mSuccEqu,axiom,
% 0.69/0.84 ! [W0,W1] :
% 0.69/0.84 ( ( aNaturalNumber0(W0)
% 0.69/0.84 & aNaturalNumber0(W1) )
% 0.69/0.84 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 0.69/0.84 => W0 = W1 ) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mIHOrd,axiom,
% 0.69/0.84 ! [W0,W1] :
% 0.69/0.84 ( ( aNaturalNumber0(W0)
% 0.69/0.84 & aNaturalNumber0(W1) )
% 0.69/0.84 => ( iLess0(W0,W1)
% 0.69/0.84 => $true ) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mIH,axiom,
% 0.69/0.84 ! [W0] :
% 0.69/0.84 ( aNaturalNumber0(W0)
% 0.69/0.84 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mScSort,axiom,
% 0.69/0.84 ! [W0] :
% 0.69/0.84 ( aScalar0(W0)
% 0.69/0.84 => $true ) ).
% 0.69/0.84
% 0.69/0.84 fof(mSZeroSc,axiom,
% 0.69/0.84 aScalar0(sz0z00) ).
% 0.69/0.84
% 0.69/0.84 fof(mSumSc,axiom,
% 0.69/0.84 ! [W0,W1] :
% 0.69/0.84 ( ( aScalar0(W0)
% 0.69/0.84 & aScalar0(W1) )
% 0.69/0.84 => aScalar0(sdtpldt0(W0,W1)) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mMulSc,axiom,
% 0.69/0.84 ! [W0,W1] :
% 0.69/0.84 ( ( aScalar0(W0)
% 0.69/0.84 & aScalar0(W1) )
% 0.69/0.84 => aScalar0(sdtasdt0(W0,W1)) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mNegSc,axiom,
% 0.69/0.84 ! [W0] :
% 0.69/0.84 ( aScalar0(W0)
% 0.69/0.84 => aScalar0(smndt0(W0)) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mScZero,axiom,
% 0.69/0.84 ! [W0] :
% 0.69/0.84 ( aScalar0(W0)
% 0.69/0.84 => ( sdtpldt0(W0,sz0z00) = W0
% 0.69/0.84 & sdtpldt0(sz0z00,W0) = W0
% 0.69/0.84 & sdtasdt0(W0,sz0z00) = sz0z00
% 0.69/0.84 & sdtasdt0(sz0z00,W0) = sz0z00
% 0.69/0.84 & sdtpldt0(W0,smndt0(W0)) = sz0z00
% 0.69/0.84 & sdtpldt0(smndt0(W0),W0) = sz0z00
% 0.69/0.84 & smndt0(smndt0(W0)) = W0
% 0.69/0.84 & smndt0(sz0z00) = sz0z00 ) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mArith,axiom,
% 0.69/0.84 ! [W0,W1,W2] :
% 0.69/0.84 ( ( aScalar0(W0)
% 0.69/0.84 & aScalar0(W1)
% 0.69/0.84 & aScalar0(W2) )
% 0.69/0.84 => ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
% 0.69/0.84 & sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
% 0.69/0.84 & sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
% 0.69/0.84 & sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mDistr,axiom,
% 0.69/0.84 ! [W0,W1,W2] :
% 0.69/0.84 ( ( aScalar0(W0)
% 0.69/0.84 & aScalar0(W1)
% 0.69/0.84 & aScalar0(W2) )
% 0.69/0.84 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.69/0.84 & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mDistr2,axiom,
% 0.69/0.84 ! [W0,W1,W2,W3] :
% 0.69/0.84 ( ( aScalar0(W0)
% 0.69/0.84 & aScalar0(W1)
% 0.69/0.84 & aScalar0(W2)
% 0.69/0.84 & aScalar0(W3) )
% 0.69/0.84 => sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mMNeg,axiom,
% 0.69/0.84 ! [W0,W1] :
% 0.69/0.84 ( ( aScalar0(W0)
% 0.69/0.84 & aScalar0(W1) )
% 0.69/0.84 => ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
% 0.69/0.84 & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mMDNeg,axiom,
% 0.69/0.84 ! [W0,W1] :
% 0.69/0.84 ( ( aScalar0(W0)
% 0.69/0.84 & aScalar0(W1) )
% 0.69/0.84 => sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mLess,axiom,
% 0.69/0.84 ! [W0,W1] :
% 0.69/0.84 ( ( aScalar0(W0)
% 0.69/0.84 & aScalar0(W1) )
% 0.69/0.84 => ( sdtlseqdt0(W0,W1)
% 0.69/0.84 => $true ) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mLERef,axiom,
% 0.69/0.84 ! [W0] :
% 0.69/0.84 ( aScalar0(W0)
% 0.69/0.84 => sdtlseqdt0(W0,W0) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mLEASm,axiom,
% 0.69/0.84 ! [W0,W1] :
% 0.69/0.84 ( ( aScalar0(W0)
% 0.69/0.84 & aScalar0(W1) )
% 0.69/0.84 => ( ( sdtlseqdt0(W0,W1)
% 0.69/0.84 & sdtlseqdt0(W1,W0) )
% 0.69/0.84 => W0 = W1 ) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mLETrn,axiom,
% 0.69/0.84 ! [W0,W1,W2] :
% 0.69/0.84 ( ( aScalar0(W0)
% 0.69/0.84 & aScalar0(W1)
% 0.69/0.84 & aScalar0(W2) )
% 0.69/0.84 => ( ( sdtlseqdt0(W0,W1)
% 0.69/0.84 & sdtlseqdt0(W1,W2) )
% 0.69/0.84 => sdtlseqdt0(W0,W2) ) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mLEMon,axiom,
% 0.69/0.84 ! [W0,W1,W2,W3] :
% 0.69/0.84 ( ( aScalar0(W0)
% 0.69/0.84 & aScalar0(W1)
% 0.69/0.84 & aScalar0(W2)
% 0.69/0.84 & aScalar0(W3) )
% 0.69/0.84 => ( ( sdtlseqdt0(W0,W1)
% 0.69/0.84 & sdtlseqdt0(W2,W3) )
% 0.69/0.84 => sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ) ).
% 0.69/0.84
% 0.69/0.84 fof(mLEMonM,axiom,
% 0.69/0.84 ! [W0,W1,W2,W3] :
% 0.69/0.84 ( ( aScalar0(W0)
% 0.69/0.84 & aScalar0(W1)
% 0.69/0.85 & aScalar0(W2)
% 0.69/0.85 & aScalar0(W3) )
% 0.69/0.85 => ( ( sdtlseqdt0(W0,W1)
% 0.69/0.85 & sdtlseqdt0(sz0z00,W2)
% 0.69/0.85 & sdtlseqdt0(W2,W3) )
% 0.69/0.85 => sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ) ).
% 0.69/0.85
% 0.69/0.85 fof(mLETot,axiom,
% 0.69/0.85 ! [W0,W1] :
% 0.69/0.85 ( ( aScalar0(W0)
% 0.69/0.85 & aScalar0(W1) )
% 0.69/0.85 => ( sdtlseqdt0(W0,W1)
% 0.69/0.85 | sdtlseqdt0(W1,W0) ) ) ).
% 0.69/0.85
% 0.69/0.85 fof(mPosMon,axiom,
% 0.69/0.85 ! [W0,W1] :
% 0.69/0.85 ( ( aScalar0(W0)
% 0.69/0.85 & aScalar0(W1) )
% 0.69/0.85 => ( ( sdtlseqdt0(sz0z00,W0)
% 0.69/0.85 & sdtlseqdt0(sz0z00,W1) )
% 0.69/0.85 => ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))
% 0.69/0.85 & sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ) ).
% 0.69/0.85
% 0.69/0.85 fof(mSqPos,axiom,
% 0.69/0.85 ! [W0] :
% 0.69/0.85 ( aScalar0(W0)
% 0.69/0.85 => sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ) ).
% 0.69/0.85
% 0.69/0.85 fof(mSqrt,axiom,
% 0.69/0.85 ! [W0,W1] :
% 0.69/0.85 ( ( aScalar0(W0)
% 0.69/0.85 & aScalar0(W1) )
% 0.69/0.85 => ( ( sdtlseqdt0(sz0z00,W0)
% 0.69/0.85 & sdtlseqdt0(sz0z00,W1)
% 0.69/0.85 & sdtasdt0(W0,W0) = sdtasdt0(W1,W1) )
% 0.69/0.85 => W0 = W1 ) ) ).
% 0.69/0.85
% 0.69/0.85 fof(mVcSort,axiom,
% 0.69/0.85 ! [W0] :
% 0.69/0.85 ( aVector0(W0)
% 0.69/0.85 => $true ) ).
% 0.69/0.85
% 0.69/0.85 fof(mDimNat,axiom,
% 0.69/0.85 ! [W0] :
% 0.69/0.85 ( aVector0(W0)
% 0.69/0.85 => aNaturalNumber0(aDimensionOf0(W0)) ) ).
% 0.69/0.85
% 0.69/0.85 fof(mElmSc,axiom,
% 0.69/0.85 ! [W0,W1] :
% 0.69/0.85 ( ( aVector0(W0)
% 0.69/0.85 & aNaturalNumber0(W1) )
% 0.69/0.85 => aScalar0(sdtlbdtrb0(W0,W1)) ) ).
% 0.69/0.85
% 0.69/0.85 fof(mDefInit,definition,
% 0.69/0.85 ! [W0] :
% 0.69/0.85 ( aVector0(W0)
% 0.69/0.85 => ( aDimensionOf0(W0) != sz00
% 0.69/0.85 => ! [W1] :
% 0.69/0.85 ( W1 = sziznziztdt0(W0)
% 0.69/0.85 <=> ( aVector0(W1)
% 0.69/0.85 & szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)
% 0.69/0.85 & ! [W2] :
% 0.69/0.85 ( aNaturalNumber0(W2)
% 0.69/0.85 => sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ) ).
% 0.69/0.85
% 0.69/0.85 fof(mEqInit,axiom,
% 0.69/0.85 ! [W0,W1] :
% 0.69/0.85 ( ( aVector0(W0)
% 0.69/0.85 & aVector0(W1) )
% 0.69/0.85 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.69/0.85 & aDimensionOf0(W1) != sz00 )
% 0.69/0.85 => aDimensionOf0(sziznziztdt0(W0)) = aDimensionOf0(sziznziztdt0(W1)) ) ) ).
% 0.69/0.85
% 0.69/0.85 fof(mScPr,axiom,
% 0.69/0.85 ! [W0,W1] :
% 0.69/0.85 ( ( aVector0(W0)
% 0.69/0.85 & aVector0(W1) )
% 0.69/0.85 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.69/0.85 => aScalar0(sdtasasdt0(W0,W1)) ) ) ).
% 0.69/0.85
% 0.69/0.85 fof(mDefSPZ,axiom,
% 0.69/0.85 ! [W0,W1] :
% 0.69/0.85 ( ( aVector0(W0)
% 0.69/0.85 & aVector0(W1) )
% 0.69/0.85 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.69/0.85 & aDimensionOf0(W1) = sz00 )
% 0.69/0.85 => sdtasasdt0(W0,W1) = sz0z00 ) ) ).
% 0.69/0.85
% 0.69/0.85 fof(mDefSPN,axiom,
% 0.69/0.85 ! [W0,W1] :
% 0.69/0.85 ( ( aVector0(W0)
% 0.69/0.85 & aVector0(W1) )
% 0.69/0.85 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.69/0.85 & aDimensionOf0(W1) != sz00 )
% 0.69/0.85 => sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))) ) ) ).
% 0.69/0.85
% 0.69/0.85 fof(mScSqPos,axiom,
% 0.69/0.85 ! [W0] :
% 0.69/0.85 ( aVector0(W0)
% 0.69/0.85 => sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1678,hypothesis,
% 0.69/0.85 ( aVector0(xs)
% 0.69/0.85 & aVector0(xt) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1652,hypothesis,
% 0.69/0.85 ! [W0,W1] :
% 0.69/0.85 ( ( aVector0(W0)
% 0.69/0.85 & aVector0(W1) )
% 0.69/0.85 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.69/0.85 => ( iLess0(aDimensionOf0(W0),aDimensionOf0(xs))
% 0.69/0.85 => sdtlseqdt0(sdtasdt0(sdtasasdt0(W0,W1),sdtasasdt0(W0,W1)),sdtasdt0(sdtasasdt0(W0,W0),sdtasasdt0(W1,W1))) ) ) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1678_01,hypothesis,
% 0.69/0.85 aDimensionOf0(xs) = aDimensionOf0(xt) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1692,hypothesis,
% 0.69/0.85 aDimensionOf0(xs) != sz00 ).
% 0.69/0.85
% 0.69/0.85 fof(m__1709,hypothesis,
% 0.69/0.85 ( aVector0(xp)
% 0.69/0.85 & xp = sziznziztdt0(xs) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1726,hypothesis,
% 0.69/0.85 ( aVector0(xq)
% 0.69/0.85 & xq = sziznziztdt0(xt) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1746,hypothesis,
% 0.69/0.85 ( aScalar0(xA)
% 0.69/0.85 & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1766,hypothesis,
% 0.69/0.85 ( aScalar0(xB)
% 0.69/0.85 & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1783,hypothesis,
% 0.69/0.85 ( aScalar0(xC)
% 0.69/0.85 & xC = sdtasasdt0(xp,xp) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1800,hypothesis,
% 0.69/0.85 ( aScalar0(xD)
% 0.69/0.85 & xD = sdtasasdt0(xq,xq) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1820,hypothesis,
% 0.69/0.85 ( aScalar0(xE)
% 0.69/0.85 & xE = sdtasasdt0(xp,xq) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1837,hypothesis,
% 0.69/0.85 ( aScalar0(xF)
% 0.69/0.85 & xF = sdtasdt0(xA,xA) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1854,hypothesis,
% 0.69/0.85 ( aScalar0(xG)
% 0.69/0.85 & xG = sdtasdt0(xB,xB) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1873,hypothesis,
% 0.69/0.85 ( aScalar0(xH)
% 0.69/0.85 & xH = sdtasdt0(xA,xB) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1892,hypothesis,
% 0.69/0.85 ( aScalar0(xR)
% 0.69/0.85 & xR = sdtasdt0(xC,xG) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1911,hypothesis,
% 0.69/0.85 ( aScalar0(xP)
% 0.69/0.85 & xP = sdtasdt0(xE,xH) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1930,hypothesis,
% 0.69/0.85 ( aScalar0(xS)
% 0.69/0.85 & xS = sdtasdt0(xF,xD) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1949,hypothesis,
% 0.69/0.85 ( aScalar0(xN)
% 0.69/0.85 & xN = sdtasdt0(xR,xS) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__1967,hypothesis,
% 0.69/0.85 sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ).
% 0.69/0.85
% 0.69/0.85 fof(m__2004,hypothesis,
% 0.69/0.85 sdtlseqdt0(sdtasdt0(xP,xP),xN) ).
% 0.69/0.85
% 0.69/0.85 fof(m__2104,hypothesis,
% 0.69/0.85 sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ).
% 0.69/0.85
% 0.69/0.85 fof(m__2405,hypothesis,
% 0.69/0.85 sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ).
% 0.69/0.85
% 0.69/0.85 fof(m__2590,hypothesis,
% 0.69/0.85 ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ).
% 0.69/0.85
% 0.69/0.85 fof(m__2610,hypothesis,
% 0.69/0.85 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ).
% 0.69/0.85
% 0.69/0.85 fof(m__2628,hypothesis,
% 0.69/0.85 ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
% 0.69/0.85 & sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ) ).
% 0.69/0.85
% 0.69/0.85 fof(m__2654,hypothesis,
% 0.69/0.85 sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ).
% 0.69/0.85
% 0.69/0.85 fof(m__2679,hypothesis,
% 0.69/0.85 sdtpldt0(xR,xS) = sdtpldt0(xP,xP) ).
% 0.69/0.85
% 0.69/0.85 fof(m__,conjecture,
% 0.69/0.85 $false ).
% 0.69/0.85
% 0.69/0.85 %------------------------------------------------------------------------------
% 0.69/0.85 %-------------------------------------------
% 0.69/0.85 % Proof found
% 0.69/0.85 % SZS status Theorem for theBenchmark
% 0.69/0.85 % SZS output start Proof
% 0.69/0.85 %ClaNum:119(EqnAxiom:25)
% 0.69/0.85 %VarNum:309(SingletonVarNum:96)
% 0.69/0.85 %MaxLitNum:8
% 0.69/0.85 %MaxfuncDepth:4
% 0.69/0.85 %SharedTerms:91
% 0.69/0.85 [28]P1(a3)
% 0.69/0.85 [29]P2(a12)
% 0.69/0.85 [30]P2(a14)
% 0.69/0.85 [31]P2(a16)
% 0.69/0.85 [32]P2(a17)
% 0.69/0.85 [33]P2(a18)
% 0.69/0.85 [34]P2(a19)
% 0.69/0.85 [35]P2(a20)
% 0.69/0.85 [36]P2(a21)
% 0.69/0.85 [37]P2(a22)
% 0.69/0.85 [38]P2(a23)
% 0.69/0.85 [39]P2(a24)
% 0.69/0.85 [40]P2(a26)
% 0.69/0.85 [41]P2(a25)
% 0.69/0.85 [42]P3(a1)
% 0.69/0.85 [43]P3(a28)
% 0.69/0.85 [44]P3(a13)
% 0.69/0.85 [45]P3(a27)
% 0.69/0.85 [26]E(f2(a1),a13)
% 0.69/0.85 [27]E(f2(a28),a27)
% 0.69/0.85 [46]E(f4(a28),f4(a1))
% 0.69/0.85 [47]E(f5(a13,a13),a17)
% 0.69/0.85 [48]E(f5(a27,a27),a18)
% 0.69/0.85 [49]E(f5(a13,a27),a19)
% 0.69/0.85 [50]E(f8(a14,a14),a20)
% 0.69/0.85 [51]E(f8(a16,a16),a21)
% 0.69/0.85 [52]E(f8(a14,a16),a22)
% 0.69/0.85 [53]E(f8(a17,a21),a23)
% 0.69/0.85 [54]E(f8(a19,a22),a24)
% 0.69/0.85 [55]E(f8(a20,a18),a26)
% 0.69/0.85 [56]E(f8(a23,a26),a25)
% 0.69/0.85 [59]E(f10(a24,a24),f10(a23,a26))
% 0.69/0.85 [60]P4(a12,f10(a23,a26))
% 0.69/0.85 [61]P4(a12,f10(a24,a24))
% 0.69/0.85 [62]P4(f8(a24,a24),a25)
% 0.69/0.85 [63]P4(f10(a23,a26),f10(a24,a24))
% 0.69/0.85 [64]P4(f8(a19,a19),f8(a17,a18))
% 0.69/0.85 [68]~E(f4(a1),a3)
% 0.69/0.85 [69]~P4(f10(a24,a24),f10(a23,a26))
% 0.69/0.85 [57]E(f9(a1,f4(a1)),a14)
% 0.69/0.85 [58]E(f9(a28,f4(a28)),a16)
% 0.69/0.85 [65]P4(f10(f8(a24,a24),f8(a24,a24)),f10(f8(a23,a23),f8(a26,a26)))
% 0.69/0.85 [66]P4(f8(f10(a23,a26),f10(a23,a26)),f8(f10(a24,a24),f10(a24,a24)))
% 0.69/0.85 [67]P4(f8(f10(a24,a24),f10(a24,a24)),f8(f10(a23,a26),f10(a23,a26)))
% 0.69/0.85 [82]~P2(x821)+P4(x821,x821)
% 0.69/0.85 [70]~P2(x701)+E(f11(a12),a12)
% 0.69/0.85 [71]~P1(x711)+~E(f15(x711),a3)
% 0.69/0.85 [72]~P1(x721)+P1(f15(x721))
% 0.69/0.85 [73]~P3(x731)+P1(f4(x731))
% 0.69/0.85 [74]~P2(x741)+P2(f11(x741))
% 0.69/0.85 [77]~P2(x771)+E(f8(x771,a12),a12)
% 0.69/0.85 [78]~P2(x781)+E(f8(a12,x781),a12)
% 0.69/0.85 [80]~P2(x801)+E(f10(x801,a12),x801)
% 0.69/0.85 [81]~P2(x811)+E(f10(a12,x811),x811)
% 0.69/0.85 [86]~P1(x861)+P5(x861,f15(x861))
% 0.69/0.85 [93]~P2(x931)+P4(a12,f8(x931,x931))
% 0.69/0.85 [94]~P3(x941)+P4(a12,f5(x941,x941))
% 0.69/0.85 [75]~P2(x751)+E(f11(f11(x751)),x751)
% 0.69/0.85 [84]~P2(x841)+E(f10(x841,f11(x841)),a12)
% 0.69/0.85 [85]~P2(x851)+E(f10(f11(x851),x851),a12)
% 0.69/0.85 [76]~P1(x761)+E(x761,a3)+P1(f6(x761))
% 0.69/0.85 [79]~P1(x791)+E(x791,a3)+E(f15(f6(x791)),x791)
% 0.69/0.85 [90]~P2(x902)+~P2(x901)+P2(f10(x901,x902))
% 0.69/0.85 [91]~P2(x912)+~P2(x911)+P2(f8(x911,x912))
% 0.69/0.85 [92]~P1(x922)+~P3(x921)+P2(f9(x921,x922))
% 0.69/0.85 [99]~P2(x992)+~P2(x991)+E(f8(f11(x991),f11(x992)),f8(x991,x992))
% 0.69/0.85 [103]~P2(x1032)+~P2(x1031)+E(f11(f8(x1031,x1032)),f8(x1031,f11(x1032)))
% 0.69/0.85 [104]~P2(x1042)+~P2(x1041)+E(f11(f8(x1041,x1042)),f8(f11(x1041),x1042))
% 0.69/0.85 [89]P4(x892,x891)+~P2(x891)+~P2(x892)+P4(x891,x892)
% 0.69/0.85 [83]~P3(x831)+P3(x832)+~E(x832,f2(x831))+E(f4(x831),a3)
% 0.69/0.85 [87]~P1(x872)+~P1(x871)+E(x871,x872)+~E(f15(x871),f15(x872))
% 0.69/0.85 [101]~P3(x1012)+~P3(x1011)+~E(f4(x1011),f4(x1012))+P2(f5(x1011,x1012))
% 0.69/0.85 [88]~P3(x881)+~E(x882,f2(x881))+E(f4(x881),a3)+E(f15(f4(x882)),f4(x881))
% 0.69/0.85 [96]~P2(x962)+~P2(x961)+~P2(x963)+E(f10(x961,x962),f10(x962,x961))
% 0.69/0.85 [97]~P2(x972)+~P2(x971)+~P2(x973)+E(f8(x971,x972),f8(x972,x971))
% 0.69/0.85 [109]~P2(x1093)+~P2(x1092)+~P2(x1091)+E(f10(f10(x1091,x1092),x1093),f10(x1091,f10(x1092,x1093)))
% 0.69/0.85 [110]~P2(x1103)+~P2(x1102)+~P2(x1101)+E(f8(f8(x1101,x1102),x1103),f8(x1101,f8(x1102,x1103)))
% 0.69/0.85 [112]~P2(x1123)+~P2(x1122)+~P2(x1121)+E(f10(f8(x1121,x1122),f8(x1121,x1123)),f8(x1121,f10(x1122,x1123)))
% 0.69/0.85 [113]~P2(x1132)+~P2(x1133)+~P2(x1131)+E(f10(f8(x1131,x1132),f8(x1133,x1132)),f8(f10(x1131,x1133),x1132))
% 0.69/0.85 [102]~P2(x1022)+~P2(x1021)+~P4(x1022,x1021)+~P4(x1021,x1022)+E(x1021,x1022)
% 0.69/0.85 [95]~P3(x952)+~P3(x951)+~E(f4(x951),f4(x952))+~E(f4(x952),a3)+E(f5(x951,x952),a12)
% 0.69/0.85 [107]~P2(x1072)+~P2(x1071)+~P4(a12,x1072)+~P4(a12,x1071)+P4(a12,f10(x1071,x1072))
% 0.69/0.85 [108]~P2(x1082)+~P2(x1081)+~P4(a12,x1082)+~P4(a12,x1081)+P4(a12,f8(x1081,x1082))
% 0.69/0.85 [98]~P3(x981)+~P3(x982)+~E(f4(x982),f4(x981))+E(f4(x981),a3)+E(f4(f2(x982)),f4(f2(x981)))
% 0.69/0.85 [118]~P3(x1182)+~P3(x1181)+~E(f4(x1181),f4(x1182))+~P5(f4(x1181),f4(a1))+P4(f8(f5(x1181,x1182),f5(x1181,x1182)),f8(f5(x1181,x1181),f5(x1182,x1182)))
% 0.69/0.85 [117]~P3(x1171)+~P3(x1172)+~E(f4(x1172),f4(x1171))+E(f4(x1171),a3)+E(f10(f5(f2(x1172),f2(x1171)),f8(f9(x1172,f4(x1172)),f9(x1171,f4(x1171)))),f5(x1172,x1171))
% 0.69/0.85 [100]~P1(x1003)+~P3(x1001)+~E(x1002,f2(x1001))+E(f9(x1002,x1003),f9(x1001,x1003))+E(f4(x1001),a3)
% 0.69/0.85 [119]~P2(x1193)+~P2(x1192)+~P2(x1194)+~P2(x1191)+E(f10(f10(f8(x1191,x1192),f8(x1191,x1193)),f10(f8(x1194,x1192),f8(x1194,x1193))),f8(f10(x1191,x1194),f10(x1192,x1193)))
% 0.69/0.85 [111]~P2(x1112)+~P2(x1111)+E(x1111,x1112)+~E(f8(x1111,x1111),f8(x1112,x1112))+~P4(a12,x1112)+~P4(a12,x1111)
% 0.69/0.85 [105]~P3(x1051)+~P3(x1052)+E(x1051,f2(x1052))+E(f4(x1052),a3)+P1(f7(x1052,x1051))+~E(f15(f4(x1051)),f4(x1052))
% 0.69/0.85 [116]~P3(x1162)+~P3(x1161)+E(x1161,f2(x1162))+E(f4(x1162),a3)+~E(f15(f4(x1161)),f4(x1162))+~E(f9(x1161,f7(x1162,x1161)),f9(x1162,f7(x1162,x1161)))
% 0.69/0.85 [106]~P2(x1062)+~P2(x1061)+~P4(x1063,x1062)+~P4(x1061,x1063)+P4(x1061,x1062)+~P2(x1063)
% 0.69/0.85 [114]~P2(x1144)+~P2(x1142)+~P2(x1143)+~P2(x1141)+~P4(x1142,x1144)+~P4(x1141,x1143)+P4(f10(x1141,x1142),f10(x1143,x1144))
% 0.69/0.85 [115]~P2(x1154)+~P2(x1152)+~P2(x1153)+~P2(x1151)+~P4(x1152,x1154)+~P4(x1151,x1153)+~P4(a12,x1152)+P4(f8(x1151,x1152),f8(x1153,x1154))
% 0.69/0.85 %EqnAxiom
% 0.69/0.85 [1]E(x11,x11)
% 0.69/0.85 [2]E(x22,x21)+~E(x21,x22)
% 0.69/0.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.69/0.85 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.69/0.85 [5]~E(x51,x52)+E(f8(x51,x53),f8(x52,x53))
% 0.69/0.85 [6]~E(x61,x62)+E(f8(x63,x61),f8(x63,x62))
% 0.69/0.85 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 0.69/0.85 [8]~E(x81,x82)+E(f10(x81,x83),f10(x82,x83))
% 0.69/0.85 [9]~E(x91,x92)+E(f10(x93,x91),f10(x93,x92))
% 0.69/0.85 [10]~E(x101,x102)+E(f5(x101,x103),f5(x102,x103))
% 0.69/0.85 [11]~E(x111,x112)+E(f5(x113,x111),f5(x113,x112))
% 0.69/0.85 [12]~E(x121,x122)+E(f15(x121),f15(x122))
% 0.69/0.85 [13]~E(x131,x132)+E(f6(x131),f6(x132))
% 0.69/0.86 [14]~E(x141,x142)+E(f11(x141),f11(x142))
% 0.69/0.86 [15]~E(x151,x152)+E(f9(x151,x153),f9(x152,x153))
% 0.69/0.86 [16]~E(x161,x162)+E(f9(x163,x161),f9(x163,x162))
% 0.69/0.86 [17]~E(x171,x172)+E(f7(x171,x173),f7(x172,x173))
% 0.69/0.86 [18]~E(x181,x182)+E(f7(x183,x181),f7(x183,x182))
% 0.69/0.86 [19]~P1(x191)+P1(x192)+~E(x191,x192)
% 0.69/0.86 [20]~P2(x201)+P2(x202)+~E(x201,x202)
% 0.69/0.86 [21]P4(x212,x213)+~E(x211,x212)+~P4(x211,x213)
% 0.69/0.86 [22]P4(x223,x222)+~E(x221,x222)+~P4(x223,x221)
% 0.69/0.86 [23]~P3(x231)+P3(x232)+~E(x231,x232)
% 0.69/0.86 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243)
% 0.69/0.86 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251)
% 0.69/0.86
% 0.69/0.86 %-------------------------------------------
% 0.69/0.86 cnf(124,plain,
% 0.69/0.86 (P4(a12,a12)),
% 0.69/0.86 inference(scs_inference,[],[26,29,44,60,69,63,59,2,23,22,21,89])).
% 0.69/0.86 cnf(154,plain,
% 0.69/0.86 (P1(f15(a3))),
% 0.69/0.86 inference(scs_inference,[],[26,28,29,30,42,43,44,60,68,69,63,46,59,2,23,22,21,89,88,100,98,115,82,70,86,81,80,78,77,75,74,73,72])).
% 0.69/0.86 cnf(156,plain,
% 0.69/0.86 (~E(f15(a3),a3)),
% 0.69/0.86 inference(scs_inference,[],[26,28,29,30,42,43,44,60,68,69,63,46,59,2,23,22,21,89,88,100,98,115,82,70,86,81,80,78,77,75,74,73,72,71])).
% 0.69/0.86 cnf(165,plain,
% 0.69/0.86 (E(f5(x1651,f2(a1)),f5(x1651,a13))),
% 0.69/0.86 inference(scs_inference,[],[26,28,29,30,42,43,44,60,68,69,63,46,59,2,23,22,21,89,88,100,98,115,82,70,86,81,80,78,77,75,74,73,72,71,18,17,16,15,14,13,12,11])).
% 0.69/0.86 cnf(175,plain,
% 0.69/0.86 (P4(a12,f8(a12,a12))),
% 0.69/0.86 inference(scs_inference,[],[26,28,29,30,42,43,44,60,68,69,63,46,59,2,23,22,21,89,88,100,98,115,82,70,86,81,80,78,77,75,74,73,72,71,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,93])).
% 0.69/0.86 cnf(184,plain,
% 0.69/0.86 (P2(f8(a12,a12))),
% 0.69/0.86 inference(scs_inference,[],[26,28,29,30,42,43,44,60,68,69,63,46,59,2,23,22,21,89,88,100,98,115,82,70,86,81,80,78,77,75,74,73,72,71,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,93,85,84,20,92,91])).
% 0.69/0.86 cnf(288,plain,
% 0.69/0.86 (~P2(f10(a24,a24))),
% 0.69/0.86 inference(scs_inference,[],[31,39,45,47,54,69,59,46,43,28,68,42,29,184,124,165,154,175,156,92,90,99,110,113,112,3,79,76,104,103,109,119,117,22,91,2,19,87,108,107,114,21,89])).
% 0.69/0.86 cnf(305,plain,
% 0.69/0.86 ($false),
% 0.69/0.86 inference(scs_inference,[],[32,39,288,110,112,90]),
% 0.69/0.86 ['proof']).
% 0.69/0.86 % SZS output end Proof
% 0.69/0.86 % Total time :0.150000s
%------------------------------------------------------------------------------