TSTP Solution File: RNG074+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG074+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 : n003.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 0.78s 0.79s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG074+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n003.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 01:36:09 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.60 start to proof:theBenchmark
% 0.78/0.78 %-------------------------------------------
% 0.78/0.78 % File :CSE---1.6
% 0.78/0.78 % Problem :theBenchmark
% 0.78/0.78 % Transform :cnf
% 0.78/0.78 % Format :tptp:raw
% 0.78/0.78 % Command :java -jar mcs_scs.jar %d %s
% 0.78/0.78
% 0.78/0.78 % Result :Theorem 0.110000s
% 0.78/0.78 % Output :CNFRefutation 0.110000s
% 0.78/0.78 %-------------------------------------------
% 0.78/0.78 %------------------------------------------------------------------------------
% 0.78/0.78 % File : RNG074+2 : TPTP v8.1.2. Released v4.0.0.
% 0.78/0.78 % Domain : Ring Theory
% 0.78/0.78 % Problem : Cauchy-Bouniakowsky-Schwarz inequality 05_16_08, 01 expansion
% 0.78/0.78 % Version : Especial.
% 0.78/0.78 % English :
% 0.78/0.78
% 0.78/0.78 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.78/0.78 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.78/0.78 % Source : [Pas08]
% 0.78/0.78 % Names : cauchy_05_16_08.01 [Pas08]
% 0.78/0.78
% 0.78/0.78 % Status : ContradictoryAxioms
% 0.78/0.78 % Rating : 0.14 v7.5.0, 0.09 v7.4.0, 0.29 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 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, 0.24 v5.0.0, 0.25 v4.1.0, 0.39 v4.0.1, 0.61 v4.0.0
% 0.78/0.78 % Syntax : Number of formulae : 65 ( 13 unt; 1 def)
% 0.78/0.78 % Number of atoms : 203 ( 62 equ)
% 0.78/0.78 % Maximal formula atoms : 9 ( 3 avg)
% 0.78/0.78 % Number of connectives : 145 ( 7 ~; 1 |; 81 &)
% 0.78/0.78 % ( 1 <=>; 55 =>; 0 <=; 0 <~>)
% 0.78/0.78 % Maximal formula depth : 10 ( 4 avg)
% 0.78/0.78 % Maximal term depth : 5 ( 1 avg)
% 0.78/0.78 % Number of predicates : 8 ( 5 usr; 2 prp; 0-2 aty)
% 0.78/0.78 % Number of functors : 26 ( 26 usr; 18 con; 0-2 aty)
% 0.78/0.78 % Number of variables : 73 ( 72 !; 1 ?)
% 0.78/0.78 % SPC : FOF_CAX_RFO_SEQ
% 0.78/0.78
% 0.78/0.78 % Comments : Problem generated by the SAD system [VLP07]
% 0.78/0.78 %------------------------------------------------------------------------------
% 0.78/0.78 fof(mNatSort,axiom,
% 0.78/0.78 ! [W0] :
% 0.78/0.78 ( aNaturalNumber0(W0)
% 0.78/0.78 => $true ) ).
% 0.78/0.78
% 0.78/0.78 fof(mZeroNat,axiom,
% 0.78/0.78 aNaturalNumber0(sz00) ).
% 0.78/0.78
% 0.78/0.78 fof(mSuccNat,axiom,
% 0.78/0.78 ! [W0] :
% 0.78/0.78 ( aNaturalNumber0(W0)
% 0.78/0.78 => ( aNaturalNumber0(szszuzczcdt0(W0))
% 0.78/0.78 & szszuzczcdt0(W0) != sz00 ) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mNatExtr,axiom,
% 0.78/0.78 ! [W0] :
% 0.78/0.78 ( ( aNaturalNumber0(W0)
% 0.78/0.78 & W0 != sz00 )
% 0.78/0.78 => ? [W1] :
% 0.78/0.78 ( aNaturalNumber0(W1)
% 0.78/0.78 & W0 = szszuzczcdt0(W1) ) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mSuccEqu,axiom,
% 0.78/0.78 ! [W0,W1] :
% 0.78/0.78 ( ( aNaturalNumber0(W0)
% 0.78/0.78 & aNaturalNumber0(W1) )
% 0.78/0.78 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 0.78/0.78 => W0 = W1 ) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mIHOrd,axiom,
% 0.78/0.78 ! [W0,W1] :
% 0.78/0.78 ( ( aNaturalNumber0(W0)
% 0.78/0.78 & aNaturalNumber0(W1) )
% 0.78/0.78 => ( iLess0(W0,W1)
% 0.78/0.78 => $true ) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mIH,axiom,
% 0.78/0.78 ! [W0] :
% 0.78/0.78 ( aNaturalNumber0(W0)
% 0.78/0.78 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mScSort,axiom,
% 0.78/0.78 ! [W0] :
% 0.78/0.78 ( aScalar0(W0)
% 0.78/0.78 => $true ) ).
% 0.78/0.78
% 0.78/0.78 fof(mSZeroSc,axiom,
% 0.78/0.78 aScalar0(sz0z00) ).
% 0.78/0.78
% 0.78/0.78 fof(mSumSc,axiom,
% 0.78/0.78 ! [W0,W1] :
% 0.78/0.78 ( ( aScalar0(W0)
% 0.78/0.78 & aScalar0(W1) )
% 0.78/0.78 => aScalar0(sdtpldt0(W0,W1)) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mMulSc,axiom,
% 0.78/0.78 ! [W0,W1] :
% 0.78/0.78 ( ( aScalar0(W0)
% 0.78/0.78 & aScalar0(W1) )
% 0.78/0.78 => aScalar0(sdtasdt0(W0,W1)) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mNegSc,axiom,
% 0.78/0.78 ! [W0] :
% 0.78/0.78 ( aScalar0(W0)
% 0.78/0.78 => aScalar0(smndt0(W0)) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mScZero,axiom,
% 0.78/0.78 ! [W0] :
% 0.78/0.78 ( aScalar0(W0)
% 0.78/0.78 => ( sdtpldt0(W0,sz0z00) = W0
% 0.78/0.78 & sdtpldt0(sz0z00,W0) = W0
% 0.78/0.78 & sdtasdt0(W0,sz0z00) = sz0z00
% 0.78/0.78 & sdtasdt0(sz0z00,W0) = sz0z00
% 0.78/0.78 & sdtpldt0(W0,smndt0(W0)) = sz0z00
% 0.78/0.78 & sdtpldt0(smndt0(W0),W0) = sz0z00
% 0.78/0.78 & smndt0(smndt0(W0)) = W0
% 0.78/0.78 & smndt0(sz0z00) = sz0z00 ) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mArith,axiom,
% 0.78/0.78 ! [W0,W1,W2] :
% 0.78/0.78 ( ( aScalar0(W0)
% 0.78/0.78 & aScalar0(W1)
% 0.78/0.78 & aScalar0(W2) )
% 0.78/0.78 => ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
% 0.78/0.78 & sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
% 0.78/0.78 & sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
% 0.78/0.78 & sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mDistr,axiom,
% 0.78/0.78 ! [W0,W1,W2] :
% 0.78/0.78 ( ( aScalar0(W0)
% 0.78/0.78 & aScalar0(W1)
% 0.78/0.78 & aScalar0(W2) )
% 0.78/0.78 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.78/0.78 & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mDistr2,axiom,
% 0.78/0.78 ! [W0,W1,W2,W3] :
% 0.78/0.78 ( ( aScalar0(W0)
% 0.78/0.78 & aScalar0(W1)
% 0.78/0.78 & aScalar0(W2)
% 0.78/0.78 & aScalar0(W3) )
% 0.78/0.78 => sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mMNeg,axiom,
% 0.78/0.78 ! [W0,W1] :
% 0.78/0.78 ( ( aScalar0(W0)
% 0.78/0.78 & aScalar0(W1) )
% 0.78/0.78 => ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
% 0.78/0.78 & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mMDNeg,axiom,
% 0.78/0.78 ! [W0,W1] :
% 0.78/0.78 ( ( aScalar0(W0)
% 0.78/0.78 & aScalar0(W1) )
% 0.78/0.78 => sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mLess,axiom,
% 0.78/0.78 ! [W0,W1] :
% 0.78/0.78 ( ( aScalar0(W0)
% 0.78/0.78 & aScalar0(W1) )
% 0.78/0.78 => ( sdtlseqdt0(W0,W1)
% 0.78/0.78 => $true ) ) ).
% 0.78/0.78
% 0.78/0.78 fof(mLERef,axiom,
% 0.78/0.78 ! [W0] :
% 0.78/0.79 ( aScalar0(W0)
% 0.78/0.79 => sdtlseqdt0(W0,W0) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mLEASm,axiom,
% 0.78/0.79 ! [W0,W1] :
% 0.78/0.79 ( ( aScalar0(W0)
% 0.78/0.79 & aScalar0(W1) )
% 0.78/0.79 => ( ( sdtlseqdt0(W0,W1)
% 0.78/0.79 & sdtlseqdt0(W1,W0) )
% 0.78/0.79 => W0 = W1 ) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mLETrn,axiom,
% 0.78/0.79 ! [W0,W1,W2] :
% 0.78/0.79 ( ( aScalar0(W0)
% 0.78/0.79 & aScalar0(W1)
% 0.78/0.79 & aScalar0(W2) )
% 0.78/0.79 => ( ( sdtlseqdt0(W0,W1)
% 0.78/0.79 & sdtlseqdt0(W1,W2) )
% 0.78/0.79 => sdtlseqdt0(W0,W2) ) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mLEMon,axiom,
% 0.78/0.79 ! [W0,W1,W2,W3] :
% 0.78/0.79 ( ( aScalar0(W0)
% 0.78/0.79 & aScalar0(W1)
% 0.78/0.79 & aScalar0(W2)
% 0.78/0.79 & aScalar0(W3) )
% 0.78/0.79 => ( ( sdtlseqdt0(W0,W1)
% 0.78/0.79 & sdtlseqdt0(W2,W3) )
% 0.78/0.79 => sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mLEMonM,axiom,
% 0.78/0.79 ! [W0,W1,W2,W3] :
% 0.78/0.79 ( ( aScalar0(W0)
% 0.78/0.79 & aScalar0(W1)
% 0.78/0.79 & aScalar0(W2)
% 0.78/0.79 & aScalar0(W3) )
% 0.78/0.79 => ( ( sdtlseqdt0(W0,W1)
% 0.78/0.79 & sdtlseqdt0(sz0z00,W2)
% 0.78/0.79 & sdtlseqdt0(W2,W3) )
% 0.78/0.79 => sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mLETot,axiom,
% 0.78/0.79 ! [W0,W1] :
% 0.78/0.79 ( ( aScalar0(W0)
% 0.78/0.79 & aScalar0(W1) )
% 0.78/0.79 => ( sdtlseqdt0(W0,W1)
% 0.78/0.79 | sdtlseqdt0(W1,W0) ) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mPosMon,axiom,
% 0.78/0.79 ! [W0,W1] :
% 0.78/0.79 ( ( aScalar0(W0)
% 0.78/0.79 & aScalar0(W1) )
% 0.78/0.79 => ( ( sdtlseqdt0(sz0z00,W0)
% 0.78/0.79 & sdtlseqdt0(sz0z00,W1) )
% 0.78/0.79 => ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))
% 0.78/0.79 & sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mSqPos,axiom,
% 0.78/0.79 ! [W0] :
% 0.78/0.79 ( aScalar0(W0)
% 0.78/0.79 => sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mSqrt,axiom,
% 0.78/0.79 ! [W0,W1] :
% 0.78/0.79 ( ( aScalar0(W0)
% 0.78/0.79 & aScalar0(W1) )
% 0.78/0.79 => ( ( sdtlseqdt0(sz0z00,W0)
% 0.78/0.79 & sdtlseqdt0(sz0z00,W1)
% 0.78/0.79 & sdtasdt0(W0,W0) = sdtasdt0(W1,W1) )
% 0.78/0.79 => W0 = W1 ) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mVcSort,axiom,
% 0.78/0.79 ! [W0] :
% 0.78/0.79 ( aVector0(W0)
% 0.78/0.79 => $true ) ).
% 0.78/0.79
% 0.78/0.79 fof(mDimNat,axiom,
% 0.78/0.79 ! [W0] :
% 0.78/0.79 ( aVector0(W0)
% 0.78/0.79 => aNaturalNumber0(aDimensionOf0(W0)) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mElmSc,axiom,
% 0.78/0.79 ! [W0,W1] :
% 0.78/0.79 ( ( aVector0(W0)
% 0.78/0.79 & aNaturalNumber0(W1) )
% 0.78/0.79 => aScalar0(sdtlbdtrb0(W0,W1)) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mDefInit,definition,
% 0.78/0.79 ! [W0] :
% 0.78/0.79 ( aVector0(W0)
% 0.78/0.79 => ( aDimensionOf0(W0) != sz00
% 0.78/0.79 => ! [W1] :
% 0.78/0.79 ( W1 = sziznziztdt0(W0)
% 0.78/0.79 <=> ( aVector0(W1)
% 0.78/0.79 & szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0)
% 0.78/0.79 & ! [W2] :
% 0.78/0.79 ( aNaturalNumber0(W2)
% 0.78/0.79 => sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mEqInit,axiom,
% 0.78/0.79 ! [W0,W1] :
% 0.78/0.79 ( ( aVector0(W0)
% 0.78/0.79 & aVector0(W1) )
% 0.78/0.79 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.78/0.79 & aDimensionOf0(W1) != sz00 )
% 0.78/0.79 => aDimensionOf0(sziznziztdt0(W0)) = aDimensionOf0(sziznziztdt0(W1)) ) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mScPr,axiom,
% 0.78/0.79 ! [W0,W1] :
% 0.78/0.79 ( ( aVector0(W0)
% 0.78/0.79 & aVector0(W1) )
% 0.78/0.79 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.78/0.79 => aScalar0(sdtasasdt0(W0,W1)) ) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mDefSPZ,axiom,
% 0.78/0.79 ! [W0,W1] :
% 0.78/0.79 ( ( aVector0(W0)
% 0.78/0.79 & aVector0(W1) )
% 0.78/0.79 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.78/0.79 & aDimensionOf0(W1) = sz00 )
% 0.78/0.79 => sdtasasdt0(W0,W1) = sz0z00 ) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mDefSPN,axiom,
% 0.78/0.79 ! [W0,W1] :
% 0.78/0.79 ( ( aVector0(W0)
% 0.78/0.79 & aVector0(W1) )
% 0.78/0.79 => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.78/0.79 & aDimensionOf0(W1) != sz00 )
% 0.78/0.79 => sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))) ) ) ).
% 0.78/0.79
% 0.78/0.79 fof(mScSqPos,axiom,
% 0.78/0.79 ! [W0] :
% 0.78/0.79 ( aVector0(W0)
% 0.78/0.79 => sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1678,hypothesis,
% 0.78/0.79 ( aVector0(xs)
% 0.78/0.79 & aVector0(xt) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1652,hypothesis,
% 0.78/0.79 ! [W0,W1] :
% 0.78/0.79 ( ( aVector0(W0)
% 0.78/0.79 & aVector0(W1) )
% 0.78/0.79 => ( aDimensionOf0(W0) = aDimensionOf0(W1)
% 0.78/0.79 => ( iLess0(aDimensionOf0(W0),aDimensionOf0(xs))
% 0.78/0.79 => sdtlseqdt0(sdtasdt0(sdtasasdt0(W0,W1),sdtasasdt0(W0,W1)),sdtasdt0(sdtasasdt0(W0,W0),sdtasasdt0(W1,W1))) ) ) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1678_01,hypothesis,
% 0.78/0.79 aDimensionOf0(xs) = aDimensionOf0(xt) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1692,hypothesis,
% 0.78/0.79 aDimensionOf0(xs) != sz00 ).
% 0.78/0.79
% 0.78/0.79 fof(m__1709,hypothesis,
% 0.78/0.79 ( aVector0(xp)
% 0.78/0.79 & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
% 0.78/0.79 & ! [W0] :
% 0.78/0.79 ( aNaturalNumber0(W0)
% 0.78/0.79 => sdtlbdtrb0(xp,W0) = sdtlbdtrb0(xs,W0) )
% 0.78/0.79 & xp = sziznziztdt0(xs) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1726,hypothesis,
% 0.78/0.79 ( aVector0(xq)
% 0.78/0.79 & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
% 0.78/0.79 & ! [W0] :
% 0.78/0.79 ( aNaturalNumber0(W0)
% 0.78/0.79 => sdtlbdtrb0(xq,W0) = sdtlbdtrb0(xt,W0) )
% 0.78/0.79 & xq = sziznziztdt0(xt) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1746,hypothesis,
% 0.78/0.79 ( aScalar0(xA)
% 0.78/0.79 & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1766,hypothesis,
% 0.78/0.79 ( aScalar0(xB)
% 0.78/0.79 & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1783,hypothesis,
% 0.78/0.79 ( aScalar0(xC)
% 0.78/0.79 & xC = sdtasasdt0(xp,xp) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1800,hypothesis,
% 0.78/0.79 ( aScalar0(xD)
% 0.78/0.79 & xD = sdtasasdt0(xq,xq) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1820,hypothesis,
% 0.78/0.79 ( aScalar0(xE)
% 0.78/0.79 & xE = sdtasasdt0(xp,xq) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1837,hypothesis,
% 0.78/0.79 ( aScalar0(xF)
% 0.78/0.79 & xF = sdtasdt0(xA,xA) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1854,hypothesis,
% 0.78/0.79 ( aScalar0(xG)
% 0.78/0.79 & xG = sdtasdt0(xB,xB) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1873,hypothesis,
% 0.78/0.79 ( aScalar0(xH)
% 0.78/0.79 & xH = sdtasdt0(xA,xB) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1892,hypothesis,
% 0.78/0.79 ( aScalar0(xR)
% 0.78/0.79 & xR = sdtasdt0(xC,xG) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1911,hypothesis,
% 0.78/0.79 ( aScalar0(xP)
% 0.78/0.79 & xP = sdtasdt0(xE,xH) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1930,hypothesis,
% 0.78/0.79 ( aScalar0(xS)
% 0.78/0.79 & xS = sdtasdt0(xF,xD) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1949,hypothesis,
% 0.78/0.79 ( aScalar0(xN)
% 0.78/0.79 & xN = sdtasdt0(xR,xS) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__1967,hypothesis,
% 0.78/0.79 sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ).
% 0.78/0.79
% 0.78/0.79 fof(m__2004,hypothesis,
% 0.78/0.79 sdtlseqdt0(sdtasdt0(xP,xP),xN) ).
% 0.78/0.79
% 0.78/0.79 fof(m__2104,hypothesis,
% 0.78/0.79 sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ).
% 0.78/0.79
% 0.78/0.79 fof(m__2405,hypothesis,
% 0.78/0.79 sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ).
% 0.78/0.79
% 0.78/0.79 fof(m__2590,hypothesis,
% 0.78/0.79 ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ).
% 0.78/0.79
% 0.78/0.79 fof(m__2610,hypothesis,
% 0.78/0.79 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ).
% 0.78/0.79
% 0.78/0.79 fof(m__2628,hypothesis,
% 0.78/0.79 ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
% 0.78/0.79 & sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ) ).
% 0.78/0.79
% 0.78/0.79 fof(m__2654,hypothesis,
% 0.78/0.79 sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ).
% 0.78/0.79
% 0.78/0.79 fof(m__2679,hypothesis,
% 0.78/0.79 sdtpldt0(xR,xS) = sdtpldt0(xP,xP) ).
% 0.78/0.79
% 0.78/0.79 fof(m__,conjecture,
% 0.78/0.79 $false ).
% 0.78/0.79
% 0.78/0.79 %------------------------------------------------------------------------------
% 0.78/0.79 %-------------------------------------------
% 0.78/0.79 % Proof found
% 0.78/0.79 % SZS status Theorem for theBenchmark
% 0.78/0.79 % SZS output start Proof
% 0.78/0.79 %ClaNum:123(EqnAxiom:25)
% 0.78/0.79 %VarNum:315(SingletonVarNum:98)
% 0.78/0.79 %MaxLitNum:8
% 0.78/0.79 %MaxfuncDepth:4
% 0.78/0.79 %SharedTerms:97
% 0.78/0.79 [28]P1(a3)
% 0.78/0.79 [29]P2(a12)
% 0.78/0.79 [30]P2(a14)
% 0.78/0.79 [31]P2(a16)
% 0.78/0.79 [32]P2(a17)
% 0.78/0.79 [33]P2(a18)
% 0.78/0.79 [34]P2(a19)
% 0.78/0.79 [35]P2(a20)
% 0.78/0.79 [36]P2(a21)
% 0.78/0.79 [37]P2(a22)
% 0.78/0.79 [38]P2(a23)
% 0.78/0.79 [39]P2(a24)
% 0.78/0.79 [40]P2(a26)
% 0.78/0.79 [41]P2(a25)
% 0.78/0.79 [42]P3(a1)
% 0.78/0.79 [43]P3(a28)
% 0.78/0.79 [44]P3(a13)
% 0.78/0.79 [45]P3(a27)
% 0.78/0.79 [26]E(f2(a1),a13)
% 0.78/0.79 [27]E(f2(a28),a27)
% 0.78/0.79 [46]E(f4(a28),f4(a1))
% 0.78/0.79 [49]E(f5(a13,a13),a17)
% 0.78/0.79 [50]E(f5(a27,a27),a18)
% 0.78/0.79 [51]E(f5(a13,a27),a19)
% 0.78/0.79 [52]E(f8(a14,a14),a20)
% 0.78/0.79 [53]E(f8(a16,a16),a21)
% 0.78/0.79 [54]E(f8(a14,a16),a22)
% 0.78/0.79 [55]E(f8(a17,a21),a23)
% 0.78/0.79 [56]E(f8(a19,a22),a24)
% 0.78/0.79 [57]E(f8(a20,a18),a26)
% 0.78/0.79 [58]E(f8(a23,a26),a25)
% 0.78/0.79 [61]E(f10(a24,a24),f10(a23,a26))
% 0.78/0.79 [62]P4(a12,f10(a23,a26))
% 0.78/0.79 [63]P4(a12,f10(a24,a24))
% 0.78/0.79 [64]P4(f8(a24,a24),a25)
% 0.78/0.79 [65]P4(f10(a23,a26),f10(a24,a24))
% 0.78/0.79 [66]P4(f8(a19,a19),f8(a17,a18))
% 0.78/0.79 [70]~E(f4(a1),a3)
% 0.78/0.79 [71]~P4(f10(a24,a24),f10(a23,a26))
% 0.78/0.79 [47]E(f15(f4(a13)),f4(a1))
% 0.78/0.79 [48]E(f15(f4(a27)),f4(a28))
% 0.78/0.79 [59]E(f9(a1,f4(a1)),a14)
% 0.78/0.79 [60]E(f9(a28,f4(a28)),a16)
% 0.78/0.79 [67]P4(f10(f8(a24,a24),f8(a24,a24)),f10(f8(a23,a23),f8(a26,a26)))
% 0.78/0.79 [68]P4(f8(f10(a23,a26),f10(a23,a26)),f8(f10(a24,a24),f10(a24,a24)))
% 0.78/0.79 [69]P4(f8(f10(a24,a24),f10(a24,a24)),f8(f10(a23,a26),f10(a23,a26)))
% 0.78/0.79 [84]~P2(x841)+P4(x841,x841)
% 0.78/0.79 [72]~P2(x721)+E(f11(a12),a12)
% 0.78/0.79 [73]~P1(x731)+~E(f15(x731),a3)
% 0.78/0.79 [74]~P1(x741)+P1(f15(x741))
% 0.78/0.79 [75]~P3(x751)+P1(f4(x751))
% 0.78/0.79 [76]~P2(x761)+P2(f11(x761))
% 0.78/0.79 [79]~P2(x791)+E(f8(x791,a12),a12)
% 0.78/0.79 [80]~P2(x801)+E(f8(a12,x801),a12)
% 0.78/0.79 [82]~P2(x821)+E(f10(x821,a12),x821)
% 0.78/0.79 [83]~P2(x831)+E(f10(a12,x831),x831)
% 0.78/0.79 [88]~P1(x881)+P5(x881,f15(x881))
% 0.78/0.79 [90]~P1(x901)+E(f9(a13,x901),f9(a1,x901))
% 0.78/0.79 [91]~P1(x911)+E(f9(a28,x911),f9(a27,x911))
% 0.78/0.79 [97]~P2(x971)+P4(a12,f8(x971,x971))
% 0.78/0.79 [98]~P3(x981)+P4(a12,f5(x981,x981))
% 0.78/0.79 [77]~P2(x771)+E(f11(f11(x771)),x771)
% 0.78/0.79 [86]~P2(x861)+E(f10(x861,f11(x861)),a12)
% 0.78/0.79 [87]~P2(x871)+E(f10(f11(x871),x871),a12)
% 0.78/0.79 [78]~P1(x781)+E(x781,a3)+P1(f6(x781))
% 0.78/0.79 [81]~P1(x811)+E(x811,a3)+E(f15(f6(x811)),x811)
% 0.78/0.79 [94]~P2(x942)+~P2(x941)+P2(f10(x941,x942))
% 0.78/0.79 [95]~P2(x952)+~P2(x951)+P2(f8(x951,x952))
% 0.78/0.79 [96]~P1(x962)+~P3(x961)+P2(f9(x961,x962))
% 0.78/0.79 [103]~P2(x1032)+~P2(x1031)+E(f8(f11(x1031),f11(x1032)),f8(x1031,x1032))
% 0.78/0.79 [107]~P2(x1072)+~P2(x1071)+E(f11(f8(x1071,x1072)),f8(x1071,f11(x1072)))
% 0.78/0.79 [108]~P2(x1082)+~P2(x1081)+E(f11(f8(x1081,x1082)),f8(f11(x1081),x1082))
% 0.78/0.79 [93]P4(x932,x931)+~P2(x931)+~P2(x932)+P4(x931,x932)
% 0.78/0.79 [85]~P3(x851)+P3(x852)+~E(x852,f2(x851))+E(f4(x851),a3)
% 0.78/0.79 [89]~P1(x892)+~P1(x891)+E(x891,x892)+~E(f15(x891),f15(x892))
% 0.78/0.79 [105]~P3(x1052)+~P3(x1051)+~E(f4(x1051),f4(x1052))+P2(f5(x1051,x1052))
% 0.78/0.79 [92]~P3(x921)+~E(x922,f2(x921))+E(f4(x921),a3)+E(f15(f4(x922)),f4(x921))
% 0.78/0.79 [100]~P2(x1002)+~P2(x1001)+~P2(x1003)+E(f10(x1001,x1002),f10(x1002,x1001))
% 0.78/0.79 [101]~P2(x1012)+~P2(x1011)+~P2(x1013)+E(f8(x1011,x1012),f8(x1012,x1011))
% 0.78/0.79 [113]~P2(x1133)+~P2(x1132)+~P2(x1131)+E(f10(f10(x1131,x1132),x1133),f10(x1131,f10(x1132,x1133)))
% 0.78/0.79 [114]~P2(x1143)+~P2(x1142)+~P2(x1141)+E(f8(f8(x1141,x1142),x1143),f8(x1141,f8(x1142,x1143)))
% 0.78/0.79 [116]~P2(x1163)+~P2(x1162)+~P2(x1161)+E(f10(f8(x1161,x1162),f8(x1161,x1163)),f8(x1161,f10(x1162,x1163)))
% 0.78/0.79 [117]~P2(x1172)+~P2(x1173)+~P2(x1171)+E(f10(f8(x1171,x1172),f8(x1173,x1172)),f8(f10(x1171,x1173),x1172))
% 0.78/0.79 [106]~P2(x1062)+~P2(x1061)+~P4(x1062,x1061)+~P4(x1061,x1062)+E(x1061,x1062)
% 0.78/0.79 [99]~P3(x992)+~P3(x991)+~E(f4(x991),f4(x992))+~E(f4(x992),a3)+E(f5(x991,x992),a12)
% 0.78/0.79 [111]~P2(x1112)+~P2(x1111)+~P4(a12,x1112)+~P4(a12,x1111)+P4(a12,f10(x1111,x1112))
% 0.78/0.79 [112]~P2(x1122)+~P2(x1121)+~P4(a12,x1122)+~P4(a12,x1121)+P4(a12,f8(x1121,x1122))
% 0.78/0.79 [102]~P3(x1021)+~P3(x1022)+~E(f4(x1022),f4(x1021))+E(f4(x1021),a3)+E(f4(f2(x1022)),f4(f2(x1021)))
% 0.78/0.79 [122]~P3(x1222)+~P3(x1221)+~E(f4(x1221),f4(x1222))+~P5(f4(x1221),f4(a1))+P4(f8(f5(x1221,x1222),f5(x1221,x1222)),f8(f5(x1221,x1221),f5(x1222,x1222)))
% 0.78/0.79 [121]~P3(x1211)+~P3(x1212)+~E(f4(x1212),f4(x1211))+E(f4(x1211),a3)+E(f10(f5(f2(x1212),f2(x1211)),f8(f9(x1212,f4(x1212)),f9(x1211,f4(x1211)))),f5(x1212,x1211))
% 0.78/0.79 [104]~P1(x1043)+~P3(x1041)+~E(x1042,f2(x1041))+E(f9(x1042,x1043),f9(x1041,x1043))+E(f4(x1041),a3)
% 0.78/0.79 [123]~P2(x1233)+~P2(x1232)+~P2(x1234)+~P2(x1231)+E(f10(f10(f8(x1231,x1232),f8(x1231,x1233)),f10(f8(x1234,x1232),f8(x1234,x1233))),f8(f10(x1231,x1234),f10(x1232,x1233)))
% 0.78/0.79 [115]~P2(x1152)+~P2(x1151)+E(x1151,x1152)+~E(f8(x1151,x1151),f8(x1152,x1152))+~P4(a12,x1152)+~P4(a12,x1151)
% 0.78/0.79 [109]~P3(x1091)+~P3(x1092)+E(x1091,f2(x1092))+E(f4(x1092),a3)+P1(f7(x1092,x1091))+~E(f15(f4(x1091)),f4(x1092))
% 0.78/0.79 [120]~P3(x1202)+~P3(x1201)+E(x1201,f2(x1202))+E(f4(x1202),a3)+~E(f15(f4(x1201)),f4(x1202))+~E(f9(x1201,f7(x1202,x1201)),f9(x1202,f7(x1202,x1201)))
% 0.78/0.79 [110]~P2(x1102)+~P2(x1101)+~P4(x1103,x1102)+~P4(x1101,x1103)+P4(x1101,x1102)+~P2(x1103)
% 0.78/0.79 [118]~P2(x1184)+~P2(x1182)+~P2(x1183)+~P2(x1181)+~P4(x1182,x1184)+~P4(x1181,x1183)+P4(f10(x1181,x1182),f10(x1183,x1184))
% 0.78/0.79 [119]~P2(x1194)+~P2(x1192)+~P2(x1193)+~P2(x1191)+~P4(x1192,x1194)+~P4(x1191,x1193)+~P4(a12,x1192)+P4(f8(x1191,x1192),f8(x1193,x1194))
% 0.78/0.79 %EqnAxiom
% 0.78/0.79 [1]E(x11,x11)
% 0.78/0.79 [2]E(x22,x21)+~E(x21,x22)
% 0.78/0.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.78/0.79 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.78/0.79 [5]~E(x51,x52)+E(f8(x51,x53),f8(x52,x53))
% 0.78/0.79 [6]~E(x61,x62)+E(f8(x63,x61),f8(x63,x62))
% 0.78/0.79 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 0.78/0.79 [8]~E(x81,x82)+E(f10(x81,x83),f10(x82,x83))
% 0.78/0.79 [9]~E(x91,x92)+E(f10(x93,x91),f10(x93,x92))
% 0.78/0.79 [10]~E(x101,x102)+E(f15(x101),f15(x102))
% 0.78/0.79 [11]~E(x111,x112)+E(f11(x111),f11(x112))
% 0.78/0.79 [12]~E(x121,x122)+E(f9(x121,x123),f9(x122,x123))
% 0.78/0.79 [13]~E(x131,x132)+E(f9(x133,x131),f9(x133,x132))
% 0.78/0.79 [14]~E(x141,x142)+E(f5(x141,x143),f5(x142,x143))
% 0.78/0.79 [15]~E(x151,x152)+E(f5(x153,x151),f5(x153,x152))
% 0.78/0.79 [16]~E(x161,x162)+E(f6(x161),f6(x162))
% 0.78/0.79 [17]~E(x171,x172)+E(f7(x171,x173),f7(x172,x173))
% 0.78/0.79 [18]~E(x181,x182)+E(f7(x183,x181),f7(x183,x182))
% 0.78/0.79 [19]~P1(x191)+P1(x192)+~E(x191,x192)
% 0.78/0.79 [20]~P2(x201)+P2(x202)+~E(x201,x202)
% 0.78/0.79 [21]P4(x212,x213)+~E(x211,x212)+~P4(x211,x213)
% 0.78/0.79 [22]P4(x223,x222)+~E(x221,x222)+~P4(x223,x221)
% 0.78/0.79 [23]~P3(x231)+P3(x232)+~E(x231,x232)
% 0.78/0.79 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243)
% 0.78/0.79 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251)
% 0.78/0.79
% 0.78/0.79 %-------------------------------------------
% 0.78/0.79 cnf(129,plain,
% 0.78/0.79 (P4(a12,a12)),
% 0.78/0.79 inference(scs_inference,[],[26,29,44,62,71,65,46,61,48,2,23,22,21,3,93])).
% 0.78/0.79 cnf(157,plain,
% 0.78/0.79 (P1(f15(a3))),
% 0.78/0.79 inference(scs_inference,[],[26,28,29,30,42,43,44,62,70,71,65,46,61,48,2,23,22,21,3,93,104,102,119,84,72,88,83,82,80,79,77,76,75,74])).
% 0.78/0.79 cnf(159,plain,
% 0.78/0.79 (~E(f15(a3),a3)),
% 0.78/0.79 inference(scs_inference,[],[26,28,29,30,42,43,44,62,70,71,65,46,61,48,2,23,22,21,3,93,104,102,119,84,72,88,83,82,80,79,77,76,75,74,73])).
% 0.78/0.79 cnf(178,plain,
% 0.78/0.79 (P4(a12,f8(a12,a12))),
% 0.78/0.79 inference(scs_inference,[],[26,28,29,30,42,43,44,62,70,71,65,46,61,48,2,23,22,21,3,93,104,102,119,84,72,88,83,82,80,79,77,76,75,74,73,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,98,97])).
% 0.78/0.79 cnf(191,plain,
% 0.78/0.79 (P2(f8(a12,a12))),
% 0.78/0.79 inference(scs_inference,[],[26,28,29,30,42,43,44,62,70,71,65,46,61,48,2,23,22,21,3,93,104,102,119,84,72,88,83,82,80,79,77,76,75,74,73,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,98,97,91,90,87,86,20,96,95])).
% 0.78/0.79 cnf(285,plain,
% 0.78/0.79 (~P2(f10(a24,a24))),
% 0.78/0.79 inference(scs_inference,[],[31,45,71,61,43,46,28,70,42,157,159,81,78,108,103,117,116,123,121,96,95,94,107,114,113,22,2,19,93])).
% 0.78/0.79 cnf(293,plain,
% 0.78/0.79 (~P4(a24,a24)),
% 0.78/0.79 inference(scs_inference,[],[31,39,45,71,61,43,46,28,70,42,29,191,129,157,178,159,81,78,108,103,117,116,123,121,96,95,94,107,114,113,22,2,19,93,112,111,89,118])).
% 0.78/0.79 cnf(313,plain,
% 0.78/0.79 ($false),
% 0.78/0.79 inference(scs_inference,[],[32,56,39,285,293,20,116,123,21,94]),
% 0.78/0.79 ['proof']).
% 0.78/0.79 % SZS output end Proof
% 0.78/0.79 % Total time :0.110000s
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