TSTP Solution File: RNG081+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : RNG081+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n021.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 13:57:45 EDT 2023
% Result : Theorem 11.48s 2.34s
% Output : Proof 17.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG081+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n021.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 03:02:12 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.58 ________ _____
% 0.20/0.58 ___ __ \_________(_)________________________________
% 0.20/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.58
% 0.20/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.58 (2023-06-19)
% 0.20/0.58
% 0.20/0.58 (c) Philipp Rümmer, 2009-2023
% 0.20/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.58 Amanda Stjerna.
% 0.20/0.58 Free software under BSD-3-Clause.
% 0.20/0.58
% 0.20/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.58
% 0.20/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.60 Running up to 7 provers in parallel.
% 0.20/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.51/1.23 Prover 4: Preprocessing ...
% 3.51/1.23 Prover 1: Preprocessing ...
% 3.51/1.27 Prover 6: Preprocessing ...
% 3.51/1.27 Prover 2: Preprocessing ...
% 3.51/1.27 Prover 5: Preprocessing ...
% 3.51/1.27 Prover 0: Preprocessing ...
% 3.51/1.28 Prover 3: Preprocessing ...
% 9.24/2.02 Prover 1: Constructing countermodel ...
% 9.65/2.06 Prover 3: Constructing countermodel ...
% 9.65/2.07 Prover 6: Proving ...
% 10.80/2.32 Prover 3: proved (1711ms)
% 10.80/2.32
% 11.48/2.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.48/2.34
% 11.48/2.34 Prover 6: stopped
% 11.48/2.34 Prover 5: Constructing countermodel ...
% 11.48/2.34 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 11.48/2.34 Prover 5: stopped
% 11.48/2.35 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 11.48/2.35 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 11.48/2.35 Prover 4: Constructing countermodel ...
% 12.30/2.44 Prover 10: Preprocessing ...
% 12.30/2.44 Prover 7: Preprocessing ...
% 12.30/2.45 Prover 2: Proving ...
% 12.48/2.48 Prover 8: Preprocessing ...
% 12.48/2.48 Prover 2: stopped
% 12.48/2.48 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.48/2.49 Prover 0: Proving ...
% 12.48/2.49 Prover 0: stopped
% 12.48/2.50 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 13.15/2.57 Prover 11: Preprocessing ...
% 13.15/2.61 Prover 13: Preprocessing ...
% 13.74/2.64 Prover 8: Warning: ignoring some quantifiers
% 13.74/2.65 Prover 8: Constructing countermodel ...
% 14.08/2.70 Prover 10: Constructing countermodel ...
% 14.78/2.77 Prover 7: Constructing countermodel ...
% 14.78/2.91 Prover 13: Constructing countermodel ...
% 17.02/3.10 Prover 11: Constructing countermodel ...
% 17.02/3.11 Prover 10: Found proof (size 90)
% 17.02/3.11 Prover 10: proved (762ms)
% 17.02/3.11 Prover 13: stopped
% 17.02/3.11 Prover 7: stopped
% 17.02/3.11 Prover 8: stopped
% 17.02/3.11 Prover 4: stopped
% 17.27/3.11 Prover 1: stopped
% 17.27/3.11 Prover 11: stopped
% 17.27/3.11
% 17.27/3.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.27/3.11
% 17.27/3.13 % SZS output start Proof for theBenchmark
% 17.27/3.13 Assumptions after simplification:
% 17.27/3.13 ---------------------------------
% 17.27/3.13
% 17.27/3.13 (mDefSPZ)
% 17.37/3.15 $i(sz0z00) & $i(sz00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = sz0z00
% 17.37/3.15 | ~ (sdtasasdt0(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ aVector0(v1) |
% 17.37/3.15 ~ aVector0(v0) | ? [v3: $i] : ? [v4: $i] : (aDimensionOf0(v1) = v4 &
% 17.37/3.15 $i(v4) & ( ~ (v4 = sz00) | ( ~ (v3 = sz00) & aDimensionOf0(v0) = v3 &
% 17.37/3.15 $i(v3)))))
% 17.37/3.15
% 17.37/3.16 (mLEMonM)
% 17.37/3.16 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 17.37/3.16 $i] : ! [v5: $i] : ( ~ (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4)
% 17.37/3.16 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ sdtlseqdt0(v2, v3) | ~
% 17.37/3.16 sdtlseqdt0(v0, v1) | ~ sdtlseqdt0(sz0z00, v2) | ~ aScalar0(v3) | ~
% 17.37/3.16 aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v4, v5))
% 17.37/3.16
% 17.37/3.16 (mScPr)
% 17.37/3.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~
% 17.37/3.16 $i(v1) | ~ $i(v0) | ~ aVector0(v1) | ~ aVector0(v0) | aScalar0(v2) | ?
% 17.37/3.16 [v3: $i] : ? [v4: $i] : ( ~ (v4 = v3) & aDimensionOf0(v1) = v4 &
% 17.37/3.16 aDimensionOf0(v0) = v3 & $i(v4) & $i(v3)))
% 17.37/3.16
% 17.37/3.16 (mScSqPos)
% 17.37/3.16 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasasdt0(v0, v0) = v1) | ~
% 17.37/3.16 $i(v0) | ~ aVector0(v0) | sdtlseqdt0(sz0z00, v1))
% 17.37/3.16
% 17.37/3.16 (m__)
% 17.37/3.16 $i(xt) & $i(xs) & $i(sz00) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 17.37/3.16 $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 17.37/3.16 ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ?
% 17.37/3.16 [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] :
% 17.37/3.16 (sdtasasdt0(xt, xt) = v3 & sdtasasdt0(xs, xt) = v0 & sdtasasdt0(xs, xs) = v2 &
% 17.37/3.16 aDimensionOf0(xs) = sz00 & sdtasdt0(v2, v3) = v4 & sdtasdt0(v0, v0) = v1 &
% 17.37/3.16 $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 17.37/3.16 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 17.37/3.16 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~ sdtlseqdt0(v1, v4))
% 17.37/3.16
% 17.37/3.16 (m__1652)
% 17.37/3.16 $i(xs) & ? [v0: $i] : (aDimensionOf0(xs) = v0 & $i(v0) & ! [v1: $i] : !
% 17.37/3.16 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (sdtasasdt0(v2, v2)
% 17.37/3.16 = v4) | ~ (sdtasasdt0(v1, v1) = v3) | ~ (sdtasdt0(v3, v4) = v5) | ~
% 17.37/3.16 $i(v2) | ~ $i(v1) | ~ aVector0(v2) | ~ aVector0(v1) | ? [v6: $i] : ?
% 17.37/3.16 [v7: $i] : ? [v8: $i] : ? [v9: $i] : ((sdtasasdt0(v1, v2) = v8 &
% 17.37/3.16 sdtasdt0(v8, v8) = v9 & $i(v9) & $i(v8) & sdtlseqdt0(v9, v5)) |
% 17.37/3.16 (aDimensionOf0(v1) = v6 & $i(v6) & ( ~ iLess0(v6, v0) | ( ~ (v7 = v6) &
% 17.37/3.16 aDimensionOf0(v2) = v7 & $i(v7)))))))
% 17.37/3.16
% 17.37/3.16 (m__1678)
% 17.37/3.16 $i(xt) & $i(xs) & aVector0(xt) & aVector0(xs)
% 17.37/3.16
% 17.37/3.16 (m__1678_01)
% 17.37/3.17 $i(xt) & $i(xs) & ? [v0: $i] : (aDimensionOf0(xt) = v0 & aDimensionOf0(xs) =
% 17.37/3.17 v0 & $i(v0))
% 17.37/3.17
% 17.37/3.17 (function-axioms)
% 17.37/3.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 17.37/3.17 (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 17.37/3.17 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1)
% 17.37/3.17 | ~ (sdtlbdtrb0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 17.37/3.17 ! [v3: $i] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) =
% 17.37/3.17 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 17.37/3.17 ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: $i] : !
% 17.37/3.17 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~
% 17.37/3.17 (sziznziztdt0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 17.37/3.17 v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) & ! [v0:
% 17.37/3.17 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~
% 17.37/3.17 (smndt0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 17.37/3.17 (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0))
% 17.37/3.17
% 17.37/3.17 Further assumptions not needed in the proof:
% 17.37/3.17 --------------------------------------------
% 17.37/3.17 mArith, mDefInit, mDefSPN, mDimNat, mDistr, mDistr2, mElmSc, mEqInit, mIH,
% 17.37/3.17 mIHOrd, mLEASm, mLEMon, mLERef, mLETot, mLETrn, mLess, mMDNeg, mMNeg, mMulSc,
% 17.37/3.17 mNatExtr, mNatSort, mNegSc, mPosMon, mSZeroSc, mScSort, mScZero, mSqPos, mSqrt,
% 17.37/3.17 mSuccEqu, mSuccNat, mSumSc, mVcSort, mZeroNat
% 17.37/3.17
% 17.37/3.17 Those formulas are unsatisfiable:
% 17.37/3.17 ---------------------------------
% 17.37/3.17
% 17.37/3.17 Begin of proof
% 17.37/3.17 |
% 17.37/3.17 | ALPHA: (mLEMonM) implies:
% 17.37/3.17 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 17.37/3.17 | ! [v5: $i] : ( ~ (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) |
% 17.37/3.17 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ sdtlseqdt0(v2, v3)
% 17.37/3.17 | | ~ sdtlseqdt0(v0, v1) | ~ sdtlseqdt0(sz0z00, v2) | ~ aScalar0(v3)
% 17.37/3.17 | | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) |
% 17.37/3.17 | sdtlseqdt0(v4, v5))
% 17.37/3.17 |
% 17.37/3.17 | ALPHA: (mDefSPZ) implies:
% 17.37/3.17 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = sz0z00 | ~
% 17.37/3.17 | (sdtasasdt0(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ aVector0(v1) |
% 17.37/3.17 | ~ aVector0(v0) | ? [v3: $i] : ? [v4: $i] : (aDimensionOf0(v1) = v4
% 17.37/3.17 | & $i(v4) & ( ~ (v4 = sz00) | ( ~ (v3 = sz00) & aDimensionOf0(v0) =
% 17.37/3.17 | v3 & $i(v3)))))
% 17.37/3.17 |
% 17.37/3.17 | ALPHA: (mScSqPos) implies:
% 17.37/3.17 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasasdt0(v0, v0) = v1) | ~ $i(v0) |
% 17.37/3.17 | ~ aVector0(v0) | sdtlseqdt0(sz0z00, v1))
% 17.37/3.17 |
% 17.37/3.17 | ALPHA: (m__1678) implies:
% 17.37/3.17 | (4) aVector0(xs)
% 17.37/3.17 | (5) aVector0(xt)
% 17.37/3.17 |
% 17.37/3.17 | ALPHA: (m__1652) implies:
% 17.37/3.18 | (6) ? [v0: $i] : (aDimensionOf0(xs) = v0 & $i(v0) & ! [v1: $i] : ! [v2:
% 17.37/3.18 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (sdtasasdt0(v2,
% 17.37/3.18 | v2) = v4) | ~ (sdtasasdt0(v1, v1) = v3) | ~ (sdtasdt0(v3, v4)
% 17.37/3.18 | = v5) | ~ $i(v2) | ~ $i(v1) | ~ aVector0(v2) | ~ aVector0(v1)
% 17.37/3.18 | | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 17.37/3.18 | ((sdtasasdt0(v1, v2) = v8 & sdtasdt0(v8, v8) = v9 & $i(v9) & $i(v8)
% 17.37/3.18 | & sdtlseqdt0(v9, v5)) | (aDimensionOf0(v1) = v6 & $i(v6) & ( ~
% 17.37/3.18 | iLess0(v6, v0) | ( ~ (v7 = v6) & aDimensionOf0(v2) = v7 &
% 17.37/3.18 | $i(v7)))))))
% 17.37/3.18 |
% 17.37/3.18 | ALPHA: (m__1678_01) implies:
% 17.37/3.18 | (7) ? [v0: $i] : (aDimensionOf0(xt) = v0 & aDimensionOf0(xs) = v0 &
% 17.37/3.18 | $i(v0))
% 17.37/3.18 |
% 17.37/3.18 | ALPHA: (m__) implies:
% 17.37/3.18 | (8) $i(xs)
% 17.37/3.18 | (9) $i(xt)
% 17.37/3.18 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 17.37/3.18 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 17.37/3.18 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 17.37/3.18 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] :
% 17.37/3.18 | (sdtasasdt0(xt, xt) = v3 & sdtasasdt0(xs, xt) = v0 & sdtasasdt0(xs,
% 17.37/3.18 | xs) = v2 & aDimensionOf0(xs) = sz00 & sdtasdt0(v2, v3) = v4 &
% 17.37/3.18 | sdtasdt0(v0, v0) = v1 & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 17.37/3.18 | $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 17.37/3.18 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 17.37/3.18 | $i(v0) & ~ sdtlseqdt0(v1, v4))
% 17.37/3.18 |
% 17.37/3.18 | ALPHA: (function-axioms) implies:
% 17.37/3.18 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 17.37/3.18 | (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0))
% 17.37/3.18 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 17.37/3.18 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 17.37/3.18 |
% 17.37/3.18 | DELTA: instantiating (7) with fresh symbol all_33_0 gives:
% 17.37/3.18 | (13) aDimensionOf0(xt) = all_33_0 & aDimensionOf0(xs) = all_33_0 &
% 17.37/3.18 | $i(all_33_0)
% 17.37/3.18 |
% 17.37/3.18 | ALPHA: (13) implies:
% 17.37/3.18 | (14) aDimensionOf0(xs) = all_33_0
% 17.37/3.18 | (15) aDimensionOf0(xt) = all_33_0
% 17.37/3.18 |
% 17.37/3.18 | DELTA: instantiating (6) with fresh symbol all_35_0 gives:
% 17.37/3.18 | (16) aDimensionOf0(xs) = all_35_0 & $i(all_35_0) & ! [v0: $i] : ! [v1:
% 17.37/3.18 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (sdtasasdt0(v1,
% 17.37/3.18 | v1) = v3) | ~ (sdtasasdt0(v0, v0) = v2) | ~ (sdtasdt0(v2, v3)
% 17.37/3.18 | = v4) | ~ $i(v1) | ~ $i(v0) | ~ aVector0(v1) | ~ aVector0(v0)
% 17.37/3.18 | | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 17.37/3.18 | ((sdtasasdt0(v0, v1) = v7 & sdtasdt0(v7, v7) = v8 & $i(v8) & $i(v7)
% 17.37/3.18 | & sdtlseqdt0(v8, v4)) | (aDimensionOf0(v0) = v5 & $i(v5) & ( ~
% 17.37/3.18 | iLess0(v5, all_35_0) | ( ~ (v6 = v5) & aDimensionOf0(v1) = v6
% 17.37/3.18 | & $i(v6))))))
% 17.37/3.18 |
% 17.37/3.18 | ALPHA: (16) implies:
% 17.37/3.18 | (17) aDimensionOf0(xs) = all_35_0
% 17.37/3.18 |
% 17.37/3.18 | DELTA: instantiating (10) with fresh symbols all_41_0, all_41_1, all_41_2,
% 17.37/3.18 | all_41_3, all_41_4, all_41_5, all_41_6, all_41_7, all_41_8, all_41_9,
% 17.37/3.18 | all_41_10, all_41_11, all_41_12, all_41_13, all_41_14, all_41_15,
% 17.37/3.18 | all_41_16, all_41_17, all_41_18 gives:
% 17.37/3.18 | (18) sdtasasdt0(xt, xt) = all_41_15 & sdtasasdt0(xs, xt) = all_41_18 &
% 17.37/3.18 | sdtasasdt0(xs, xs) = all_41_16 & aDimensionOf0(xs) = sz00 &
% 17.37/3.18 | sdtasdt0(all_41_16, all_41_15) = all_41_14 & sdtasdt0(all_41_18,
% 17.37/3.18 | all_41_18) = all_41_17 & $i(all_41_0) & $i(all_41_1) & $i(all_41_2)
% 17.37/3.18 | & $i(all_41_3) & $i(all_41_4) & $i(all_41_5) & $i(all_41_6) &
% 17.37/3.18 | $i(all_41_7) & $i(all_41_8) & $i(all_41_9) & $i(all_41_10) &
% 17.37/3.18 | $i(all_41_11) & $i(all_41_12) & $i(all_41_13) & $i(all_41_14) &
% 17.37/3.18 | $i(all_41_15) & $i(all_41_16) & $i(all_41_17) & $i(all_41_18) & ~
% 17.37/3.18 | sdtlseqdt0(all_41_17, all_41_14)
% 17.37/3.18 |
% 17.37/3.18 | ALPHA: (18) implies:
% 17.37/3.18 | (19) ~ sdtlseqdt0(all_41_17, all_41_14)
% 17.37/3.18 | (20) $i(all_41_16)
% 17.37/3.19 | (21) sdtasdt0(all_41_18, all_41_18) = all_41_17
% 17.37/3.19 | (22) sdtasdt0(all_41_16, all_41_15) = all_41_14
% 17.37/3.19 | (23) aDimensionOf0(xs) = sz00
% 17.37/3.19 | (24) sdtasasdt0(xs, xs) = all_41_16
% 17.37/3.19 | (25) sdtasasdt0(xs, xt) = all_41_18
% 17.37/3.19 | (26) sdtasasdt0(xt, xt) = all_41_15
% 17.37/3.19 |
% 17.37/3.19 | GROUND_INST: instantiating (11) with all_33_0, all_35_0, xs, simplifying with
% 17.37/3.19 | (14), (17) gives:
% 17.37/3.19 | (27) all_35_0 = all_33_0
% 17.37/3.19 |
% 17.37/3.19 | GROUND_INST: instantiating (11) with sz00, all_35_0, xs, simplifying with
% 17.37/3.19 | (17), (23) gives:
% 17.37/3.19 | (28) all_35_0 = sz00
% 17.37/3.19 |
% 17.37/3.19 | COMBINE_EQS: (27), (28) imply:
% 17.37/3.19 | (29) all_33_0 = sz00
% 17.37/3.19 |
% 17.37/3.19 | SIMP: (29) implies:
% 17.37/3.19 | (30) all_33_0 = sz00
% 17.37/3.19 |
% 17.37/3.19 | REDUCE: (15), (30) imply:
% 17.37/3.19 | (31) aDimensionOf0(xt) = sz00
% 17.37/3.19 |
% 17.37/3.19 | GROUND_INST: instantiating (2) with xs, xs, all_41_16, simplifying with (4),
% 17.37/3.19 | (8), (24) gives:
% 17.37/3.19 | (32) all_41_16 = sz0z00 | ? [v0: $i] : ? [v1: $i] : (aDimensionOf0(xs) =
% 17.37/3.19 | v1 & $i(v1) & ( ~ (v1 = sz00) | ( ~ (v0 = sz00) & aDimensionOf0(xs)
% 17.37/3.19 | = v0 & $i(v0))))
% 17.37/3.19 |
% 17.37/3.19 | GROUND_INST: instantiating (mScPr) with xs, xs, all_41_16, simplifying with
% 17.37/3.19 | (4), (8), (24) gives:
% 17.37/3.19 | (33) aScalar0(all_41_16) | ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 17.37/3.19 | aDimensionOf0(xs) = v1 & aDimensionOf0(xs) = v0 & $i(v1) & $i(v0))
% 17.37/3.19 |
% 17.37/3.19 | GROUND_INST: instantiating (3) with xs, all_41_16, simplifying with (4), (8),
% 17.37/3.19 | (24) gives:
% 17.37/3.19 | (34) sdtlseqdt0(sz0z00, all_41_16)
% 17.37/3.19 |
% 17.37/3.19 | GROUND_INST: instantiating (2) with xs, xt, all_41_18, simplifying with (4),
% 17.37/3.19 | (5), (8), (9), (25) gives:
% 17.37/3.19 | (35) all_41_18 = sz0z00 | ? [v0: $i] : ? [v1: $i] : (aDimensionOf0(xt) =
% 17.37/3.19 | v1 & $i(v1) & ( ~ (v1 = sz00) | ( ~ (v0 = sz00) & aDimensionOf0(xs)
% 17.37/3.19 | = v0 & $i(v0))))
% 17.37/3.19 |
% 17.37/3.19 | GROUND_INST: instantiating (2) with xt, xt, all_41_15, simplifying with (5),
% 17.37/3.19 | (9), (26) gives:
% 17.37/3.19 | (36) all_41_15 = sz0z00 | ? [v0: $i] : ? [v1: $i] : (aDimensionOf0(xt) =
% 17.37/3.19 | v1 & $i(v1) & ( ~ (v1 = sz00) | ( ~ (v0 = sz00) & aDimensionOf0(xt)
% 17.37/3.19 | = v0 & $i(v0))))
% 17.37/3.19 |
% 17.37/3.19 | BETA: splitting (33) gives:
% 17.37/3.19 |
% 17.37/3.19 | Case 1:
% 17.37/3.19 | |
% 17.37/3.19 | | (37) aScalar0(all_41_16)
% 17.37/3.19 | |
% 17.37/3.19 | | BETA: splitting (36) gives:
% 17.37/3.19 | |
% 17.37/3.19 | | Case 1:
% 17.37/3.19 | | |
% 17.37/3.19 | | | (38) all_41_15 = sz0z00
% 17.37/3.19 | | |
% 17.37/3.19 | | | REDUCE: (22), (38) imply:
% 17.37/3.19 | | | (39) sdtasdt0(all_41_16, sz0z00) = all_41_14
% 17.37/3.19 | | |
% 17.37/3.19 | | | BETA: splitting (35) gives:
% 17.37/3.19 | | |
% 17.37/3.19 | | | Case 1:
% 17.37/3.19 | | | |
% 17.37/3.19 | | | | (40) all_41_18 = sz0z00
% 17.37/3.19 | | | |
% 17.37/3.19 | | | | REDUCE: (21), (40) imply:
% 17.37/3.19 | | | | (41) sdtasdt0(sz0z00, sz0z00) = all_41_17
% 17.37/3.19 | | | |
% 17.37/3.19 | | | | BETA: splitting (32) gives:
% 17.37/3.19 | | | |
% 17.37/3.19 | | | | Case 1:
% 17.37/3.19 | | | | |
% 17.37/3.19 | | | | | (42) all_41_16 = sz0z00
% 17.37/3.19 | | | | |
% 17.37/3.19 | | | | | REDUCE: (39), (42) imply:
% 17.37/3.19 | | | | | (43) sdtasdt0(sz0z00, sz0z00) = all_41_14
% 17.37/3.19 | | | | |
% 17.37/3.19 | | | | | REDUCE: (20), (42) imply:
% 17.37/3.19 | | | | | (44) $i(sz0z00)
% 17.37/3.19 | | | | |
% 17.37/3.19 | | | | | REDUCE: (34), (42) imply:
% 17.37/3.19 | | | | | (45) sdtlseqdt0(sz0z00, sz0z00)
% 17.37/3.19 | | | | |
% 17.37/3.19 | | | | | REDUCE: (37), (42) imply:
% 17.37/3.20 | | | | | (46) aScalar0(sz0z00)
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | | GROUND_INST: instantiating (12) with all_41_17, all_41_14, sz0z00,
% 17.37/3.20 | | | | | sz0z00, simplifying with (41), (43) gives:
% 17.37/3.20 | | | | | (47) all_41_14 = all_41_17
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | | REDUCE: (19), (47) imply:
% 17.37/3.20 | | | | | (48) ~ sdtlseqdt0(all_41_17, all_41_17)
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | | GROUND_INST: instantiating (1) with sz0z00, sz0z00, sz0z00, sz0z00,
% 17.37/3.20 | | | | | all_41_17, all_41_17, simplifying with (41), (44), (45),
% 17.37/3.20 | | | | | (46), (48) gives:
% 17.37/3.20 | | | | | (49) $false
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | | CLOSE: (49) is inconsistent.
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | Case 2:
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | | (50) ? [v0: $i] : ? [v1: $i] : (aDimensionOf0(xs) = v1 & $i(v1) &
% 17.37/3.20 | | | | | ( ~ (v1 = sz00) | ( ~ (v0 = sz00) & aDimensionOf0(xs) = v0 &
% 17.37/3.20 | | | | | $i(v0))))
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | | DELTA: instantiating (50) with fresh symbols all_78_0, all_78_1 gives:
% 17.37/3.20 | | | | | (51) aDimensionOf0(xs) = all_78_0 & $i(all_78_0) & ( ~ (all_78_0 =
% 17.37/3.20 | | | | | sz00) | ( ~ (all_78_1 = sz00) & aDimensionOf0(xs) =
% 17.37/3.20 | | | | | all_78_1 & $i(all_78_1)))
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | | ALPHA: (51) implies:
% 17.37/3.20 | | | | | (52) aDimensionOf0(xs) = all_78_0
% 17.37/3.20 | | | | | (53) ~ (all_78_0 = sz00) | ( ~ (all_78_1 = sz00) &
% 17.37/3.20 | | | | | aDimensionOf0(xs) = all_78_1 & $i(all_78_1))
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | | BETA: splitting (53) gives:
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | | Case 1:
% 17.37/3.20 | | | | | |
% 17.37/3.20 | | | | | | (54) ~ (all_78_0 = sz00)
% 17.37/3.20 | | | | | |
% 17.37/3.20 | | | | | | GROUND_INST: instantiating (11) with sz00, all_78_0, xs, simplifying
% 17.37/3.20 | | | | | | with (23), (52) gives:
% 17.37/3.20 | | | | | | (55) all_78_0 = sz00
% 17.37/3.20 | | | | | |
% 17.37/3.20 | | | | | | REDUCE: (54), (55) imply:
% 17.37/3.20 | | | | | | (56) $false
% 17.37/3.20 | | | | | |
% 17.37/3.20 | | | | | | CLOSE: (56) is inconsistent.
% 17.37/3.20 | | | | | |
% 17.37/3.20 | | | | | Case 2:
% 17.37/3.20 | | | | | |
% 17.37/3.20 | | | | | | (57) all_78_0 = sz00
% 17.37/3.20 | | | | | | (58) ~ (all_78_1 = sz00) & aDimensionOf0(xs) = all_78_1 &
% 17.37/3.20 | | | | | | $i(all_78_1)
% 17.37/3.20 | | | | | |
% 17.37/3.20 | | | | | | ALPHA: (58) implies:
% 17.37/3.20 | | | | | | (59) ~ (all_78_1 = sz00)
% 17.37/3.20 | | | | | | (60) aDimensionOf0(xs) = all_78_1
% 17.37/3.20 | | | | | |
% 17.37/3.20 | | | | | | GROUND_INST: instantiating (11) with sz00, all_78_1, xs, simplifying
% 17.37/3.20 | | | | | | with (23), (60) gives:
% 17.37/3.20 | | | | | | (61) all_78_1 = sz00
% 17.37/3.20 | | | | | |
% 17.37/3.20 | | | | | | REDUCE: (59), (61) imply:
% 17.37/3.20 | | | | | | (62) $false
% 17.37/3.20 | | | | | |
% 17.37/3.20 | | | | | | CLOSE: (62) is inconsistent.
% 17.37/3.20 | | | | | |
% 17.37/3.20 | | | | | End of split
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | End of split
% 17.37/3.20 | | | |
% 17.37/3.20 | | | Case 2:
% 17.37/3.20 | | | |
% 17.37/3.20 | | | | (63) ? [v0: $i] : ? [v1: $i] : (aDimensionOf0(xt) = v1 & $i(v1) & (
% 17.37/3.20 | | | | ~ (v1 = sz00) | ( ~ (v0 = sz00) & aDimensionOf0(xs) = v0 &
% 17.37/3.20 | | | | $i(v0))))
% 17.37/3.20 | | | |
% 17.37/3.20 | | | | DELTA: instantiating (63) with fresh symbols all_74_0, all_74_1 gives:
% 17.37/3.20 | | | | (64) aDimensionOf0(xt) = all_74_0 & $i(all_74_0) & ( ~ (all_74_0 =
% 17.37/3.20 | | | | sz00) | ( ~ (all_74_1 = sz00) & aDimensionOf0(xs) = all_74_1
% 17.37/3.20 | | | | & $i(all_74_1)))
% 17.37/3.20 | | | |
% 17.37/3.20 | | | | ALPHA: (64) implies:
% 17.37/3.20 | | | | (65) aDimensionOf0(xt) = all_74_0
% 17.37/3.20 | | | | (66) ~ (all_74_0 = sz00) | ( ~ (all_74_1 = sz00) & aDimensionOf0(xs)
% 17.37/3.20 | | | | = all_74_1 & $i(all_74_1))
% 17.37/3.20 | | | |
% 17.37/3.20 | | | | BETA: splitting (66) gives:
% 17.37/3.20 | | | |
% 17.37/3.20 | | | | Case 1:
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | | (67) ~ (all_74_0 = sz00)
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | | GROUND_INST: instantiating (11) with sz00, all_74_0, xt, simplifying
% 17.37/3.20 | | | | | with (31), (65) gives:
% 17.37/3.20 | | | | | (68) all_74_0 = sz00
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | | REDUCE: (67), (68) imply:
% 17.37/3.20 | | | | | (69) $false
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | | CLOSE: (69) is inconsistent.
% 17.37/3.20 | | | | |
% 17.37/3.20 | | | | Case 2:
% 17.37/3.20 | | | | |
% 17.37/3.21 | | | | | (70) ~ (all_74_1 = sz00) & aDimensionOf0(xs) = all_74_1 &
% 17.37/3.21 | | | | | $i(all_74_1)
% 17.37/3.21 | | | | |
% 17.37/3.21 | | | | | ALPHA: (70) implies:
% 17.37/3.21 | | | | | (71) ~ (all_74_1 = sz00)
% 17.37/3.21 | | | | | (72) aDimensionOf0(xs) = all_74_1
% 17.37/3.21 | | | | |
% 17.37/3.21 | | | | | GROUND_INST: instantiating (11) with sz00, all_74_1, xs, simplifying
% 17.37/3.21 | | | | | with (23), (72) gives:
% 17.37/3.21 | | | | | (73) all_74_1 = sz00
% 17.37/3.21 | | | | |
% 17.37/3.21 | | | | | REDUCE: (71), (73) imply:
% 17.37/3.21 | | | | | (74) $false
% 17.37/3.21 | | | | |
% 17.37/3.21 | | | | | CLOSE: (74) is inconsistent.
% 17.37/3.21 | | | | |
% 17.37/3.21 | | | | End of split
% 17.37/3.21 | | | |
% 17.37/3.21 | | | End of split
% 17.37/3.21 | | |
% 17.37/3.21 | | Case 2:
% 17.37/3.21 | | |
% 17.37/3.21 | | | (75) ? [v0: $i] : ? [v1: $i] : (aDimensionOf0(xt) = v1 & $i(v1) & ( ~
% 17.37/3.21 | | | (v1 = sz00) | ( ~ (v0 = sz00) & aDimensionOf0(xt) = v0 &
% 17.37/3.21 | | | $i(v0))))
% 17.37/3.21 | | |
% 17.37/3.21 | | | DELTA: instantiating (75) with fresh symbols all_70_0, all_70_1 gives:
% 17.37/3.21 | | | (76) aDimensionOf0(xt) = all_70_0 & $i(all_70_0) & ( ~ (all_70_0 =
% 17.37/3.21 | | | sz00) | ( ~ (all_70_1 = sz00) & aDimensionOf0(xt) = all_70_1 &
% 17.37/3.21 | | | $i(all_70_1)))
% 17.37/3.21 | | |
% 17.37/3.21 | | | ALPHA: (76) implies:
% 17.37/3.21 | | | (77) aDimensionOf0(xt) = all_70_0
% 17.37/3.21 | | | (78) ~ (all_70_0 = sz00) | ( ~ (all_70_1 = sz00) & aDimensionOf0(xt) =
% 17.37/3.21 | | | all_70_1 & $i(all_70_1))
% 17.37/3.21 | | |
% 17.37/3.21 | | | BETA: splitting (78) gives:
% 17.37/3.21 | | |
% 17.37/3.21 | | | Case 1:
% 17.37/3.21 | | | |
% 17.37/3.21 | | | | (79) ~ (all_70_0 = sz00)
% 17.37/3.21 | | | |
% 17.37/3.21 | | | | GROUND_INST: instantiating (11) with sz00, all_70_0, xt, simplifying
% 17.37/3.21 | | | | with (31), (77) gives:
% 17.37/3.21 | | | | (80) all_70_0 = sz00
% 17.37/3.21 | | | |
% 17.37/3.21 | | | | REDUCE: (79), (80) imply:
% 17.37/3.21 | | | | (81) $false
% 17.37/3.21 | | | |
% 17.37/3.21 | | | | CLOSE: (81) is inconsistent.
% 17.37/3.21 | | | |
% 17.37/3.21 | | | Case 2:
% 17.37/3.21 | | | |
% 17.37/3.21 | | | | (82) all_70_0 = sz00
% 17.37/3.21 | | | | (83) ~ (all_70_1 = sz00) & aDimensionOf0(xt) = all_70_1 &
% 17.37/3.21 | | | | $i(all_70_1)
% 17.37/3.21 | | | |
% 17.37/3.21 | | | | ALPHA: (83) implies:
% 17.37/3.21 | | | | (84) ~ (all_70_1 = sz00)
% 17.37/3.21 | | | | (85) aDimensionOf0(xt) = all_70_1
% 17.37/3.21 | | | |
% 17.37/3.21 | | | | GROUND_INST: instantiating (11) with sz00, all_70_1, xt, simplifying
% 17.37/3.21 | | | | with (31), (85) gives:
% 17.37/3.21 | | | | (86) all_70_1 = sz00
% 17.37/3.21 | | | |
% 17.37/3.21 | | | | REDUCE: (84), (86) imply:
% 17.37/3.21 | | | | (87) $false
% 17.37/3.21 | | | |
% 17.37/3.21 | | | | CLOSE: (87) is inconsistent.
% 17.37/3.21 | | | |
% 17.37/3.21 | | | End of split
% 17.37/3.21 | | |
% 17.37/3.21 | | End of split
% 17.37/3.21 | |
% 17.37/3.21 | Case 2:
% 17.37/3.21 | |
% 17.37/3.21 | | (88) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) & aDimensionOf0(xs) = v1 &
% 17.37/3.21 | | aDimensionOf0(xs) = v0 & $i(v1) & $i(v0))
% 17.37/3.21 | |
% 17.37/3.21 | | DELTA: instantiating (88) with fresh symbols all_62_0, all_62_1 gives:
% 17.37/3.21 | | (89) ~ (all_62_0 = all_62_1) & aDimensionOf0(xs) = all_62_0 &
% 17.37/3.21 | | aDimensionOf0(xs) = all_62_1 & $i(all_62_0) & $i(all_62_1)
% 17.37/3.21 | |
% 17.37/3.21 | | ALPHA: (89) implies:
% 17.37/3.21 | | (90) ~ (all_62_0 = all_62_1)
% 17.37/3.21 | | (91) aDimensionOf0(xs) = all_62_1
% 17.37/3.21 | | (92) aDimensionOf0(xs) = all_62_0
% 17.37/3.21 | |
% 17.37/3.21 | | GROUND_INST: instantiating (11) with sz00, all_62_0, xs, simplifying with
% 17.37/3.21 | | (23), (92) gives:
% 17.37/3.21 | | (93) all_62_0 = sz00
% 17.37/3.21 | |
% 17.37/3.21 | | GROUND_INST: instantiating (11) with all_62_1, all_62_0, xs, simplifying
% 17.37/3.21 | | with (91), (92) gives:
% 17.37/3.21 | | (94) all_62_0 = all_62_1
% 17.37/3.21 | |
% 17.37/3.21 | | COMBINE_EQS: (93), (94) imply:
% 17.37/3.21 | | (95) all_62_1 = sz00
% 17.37/3.21 | |
% 17.37/3.21 | | REDUCE: (90), (93), (95) imply:
% 17.37/3.21 | | (96) $false
% 17.37/3.21 | |
% 17.37/3.21 | | CLOSE: (96) is inconsistent.
% 17.37/3.21 | |
% 17.37/3.21 | End of split
% 17.37/3.21 |
% 17.37/3.21 End of proof
% 17.37/3.21 % SZS output end Proof for theBenchmark
% 17.37/3.21
% 17.37/3.21 2628ms
%------------------------------------------------------------------------------