TSTP Solution File: NUM514+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n024.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 11:48:17 EDT 2023
% Result : Theorem 14.80s 2.78s
% Output : Proof 24.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n024.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 : Fri Aug 25 16:05:09 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.61 ________ _____
% 0.21/0.61 ___ __ \_________(_)________________________________
% 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.61
% 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.61 (2023-06-19)
% 0.21/0.61
% 0.21/0.61 (c) Philipp Rümmer, 2009-2023
% 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.61 Amanda Stjerna.
% 0.21/0.61 Free software under BSD-3-Clause.
% 0.21/0.61
% 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.61
% 0.21/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.62 Running up to 7 provers in parallel.
% 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.91/1.34 Prover 4: Preprocessing ...
% 3.91/1.35 Prover 1: Preprocessing ...
% 3.91/1.38 Prover 3: Preprocessing ...
% 3.91/1.39 Prover 0: Preprocessing ...
% 3.91/1.39 Prover 6: Preprocessing ...
% 3.91/1.39 Prover 2: Preprocessing ...
% 3.91/1.39 Prover 5: Preprocessing ...
% 11.02/2.27 Prover 1: Constructing countermodel ...
% 11.02/2.30 Prover 3: Constructing countermodel ...
% 11.02/2.31 Prover 6: Proving ...
% 11.71/2.37 Prover 5: Constructing countermodel ...
% 13.32/2.60 Prover 4: Constructing countermodel ...
% 13.32/2.62 Prover 2: Proving ...
% 14.80/2.76 Prover 0: Proving ...
% 14.80/2.77 Prover 3: proved (2140ms)
% 14.80/2.78
% 14.80/2.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.80/2.78
% 14.80/2.78 Prover 5: stopped
% 14.80/2.78 Prover 6: stopped
% 14.80/2.78 Prover 0: stopped
% 14.80/2.78 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 14.80/2.78 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 14.80/2.78 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 14.80/2.78 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 15.24/2.84 Prover 2: stopped
% 15.24/2.85 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 16.65/3.01 Prover 8: Preprocessing ...
% 16.65/3.04 Prover 7: Preprocessing ...
% 17.13/3.09 Prover 11: Preprocessing ...
% 17.13/3.10 Prover 13: Preprocessing ...
% 17.55/3.10 Prover 10: Preprocessing ...
% 19.05/3.39 Prover 10: Constructing countermodel ...
% 19.05/3.39 Prover 8: Warning: ignoring some quantifiers
% 19.05/3.39 Prover 7: Constructing countermodel ...
% 19.05/3.39 Prover 8: Constructing countermodel ...
% 20.62/3.56 Prover 13: Constructing countermodel ...
% 22.97/3.88 Prover 11: Constructing countermodel ...
% 23.68/3.99 Prover 10: Found proof (size 32)
% 23.68/3.99 Prover 10: proved (1209ms)
% 23.68/3.99 Prover 13: stopped
% 23.68/3.99 Prover 1: stopped
% 23.68/3.99 Prover 4: stopped
% 23.68/3.99 Prover 7: stopped
% 23.68/3.99 Prover 8: stopped
% 23.68/4.00 Prover 11: stopped
% 23.68/4.00
% 23.68/4.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.68/4.00
% 23.68/4.00 % SZS output start Proof for theBenchmark
% 23.68/4.01 Assumptions after simplification:
% 23.68/4.01 ---------------------------------
% 23.68/4.01
% 23.68/4.01 (m__)
% 23.68/4.03 $i(xr) & $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : (sdtsldt0(xn,
% 23.68/4.03 xr) = v0 & sdtasdt0(v0, xm) = v1 & sdtasdt0(xr, v0) = xn & $i(v1) & $i(v0)
% 23.68/4.03 & aNaturalNumber0(v0) & ~ doDivides0(xp, v1) & ! [v2: $i] : ( ~
% 23.68/4.03 (sdtasdt0(xp, v2) = v1) | ~ $i(v2) | ~ aNaturalNumber0(v2)))
% 23.68/4.03
% 23.68/4.03 (m__2504)
% 23.68/4.03 $i(xr) & $i(xn) & ? [v0: $i] : ? [v1: $i] : ( ~ (v0 = xn) & sdtsldt0(xn, xr)
% 23.68/4.03 = v0 & sdtasdt0(xr, v0) = xn & sdtpldt0(v0, v1) = xn & $i(v1) & $i(v0) &
% 23.68/4.03 sdtlseqdt0(v0, xn) & aNaturalNumber0(v1) & aNaturalNumber0(v0))
% 23.68/4.03
% 23.68/4.03 (m__2576)
% 23.68/4.04 $i(xr) & $i(xk) & $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : ?
% 23.68/4.04 [v2: $i] : ? [v3: $i] : ? [v4: $i] : (sdtsldt0(v3, xr) = v4 & sdtsldt0(xn,
% 23.68/4.04 xr) = v0 & sdtasdt0(v4, xr) = v2 & sdtasdt0(v1, xr) = v2 & sdtasdt0(v0,
% 23.68/4.04 xm) = v1 & sdtasdt0(xr, v4) = v3 & sdtasdt0(xr, v0) = xn & sdtasdt0(xp,
% 23.68/4.04 xk) = v3 & sdtasdt0(xn, xm) = v2 & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 23.68/4.04 $i(v0) & aNaturalNumber0(v4) & aNaturalNumber0(v0))
% 23.68/4.04
% 23.68/4.04 (m__2613)
% 23.68/4.04 $i(xr) & $i(xk) & $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : ?
% 23.68/4.04 [v2: $i] : (sdtsldt0(xk, xr) = v0 & sdtsldt0(xn, xr) = v1 & sdtasdt0(v1, xm) =
% 23.68/4.04 v2 & sdtasdt0(xr, v1) = xn & sdtasdt0(xr, v0) = xk & sdtasdt0(xp, v0) = v2 &
% 23.68/4.04 $i(v2) & $i(v1) & $i(v0) & aNaturalNumber0(v1) & aNaturalNumber0(v0))
% 23.68/4.04
% 23.68/4.04 (function-axioms)
% 23.68/4.04 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 23.68/4.04 (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0: $i] : !
% 23.68/4.04 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) |
% 23.68/4.04 ~ (sdtmndt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 23.68/4.04 [v3: $i] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 23.68/4.04 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 23.68/4.04 (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 23.68/4.04
% 23.68/4.04 Further assumptions not needed in the proof:
% 23.68/4.04 --------------------------------------------
% 23.68/4.04 mAMDistr, mAddAsso, mAddCanc, mAddComm, mDefDiff, mDefDiv, mDefLE, mDefPrime,
% 23.68/4.04 mDefQuot, mDivAsso, mDivLE, mDivMin, mDivSum, mDivTrans, mIH, mIH_03, mLEAsym,
% 23.68/4.04 mLENTr, mLERefl, mLETotal, mLETran, mMonAdd, mMonMul, mMonMul2, mMulAsso,
% 23.68/4.04 mMulCanc, mMulComm, mNatSort, mPrimDiv, mSortsB, mSortsB_02, mSortsC,
% 23.68/4.04 mSortsC_01, mZeroAdd, mZeroMul, m_AddZero, m_MulUnit, m_MulZero, m__1799,
% 23.68/4.04 m__1837, m__1860, m__1870, m__2075, m__2287, m__2306, m__2315, m__2327, m__2342,
% 23.68/4.04 m__2362, m__2377, m__2449, m__2487
% 23.68/4.04
% 23.68/4.04 Those formulas are unsatisfiable:
% 23.68/4.04 ---------------------------------
% 23.68/4.04
% 23.68/4.04 Begin of proof
% 23.68/4.04 |
% 23.68/4.04 | ALPHA: (m__2504) implies:
% 24.44/4.04 | (1) ? [v0: $i] : ? [v1: $i] : ( ~ (v0 = xn) & sdtsldt0(xn, xr) = v0 &
% 24.44/4.04 | sdtasdt0(xr, v0) = xn & sdtpldt0(v0, v1) = xn & $i(v1) & $i(v0) &
% 24.44/4.04 | sdtlseqdt0(v0, xn) & aNaturalNumber0(v1) & aNaturalNumber0(v0))
% 24.44/4.04 |
% 24.44/4.04 | ALPHA: (m__2576) implies:
% 24.44/4.05 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 24.44/4.05 | (sdtsldt0(v3, xr) = v4 & sdtsldt0(xn, xr) = v0 & sdtasdt0(v4, xr) = v2
% 24.44/4.05 | & sdtasdt0(v1, xr) = v2 & sdtasdt0(v0, xm) = v1 & sdtasdt0(xr, v4) =
% 24.44/4.05 | v3 & sdtasdt0(xr, v0) = xn & sdtasdt0(xp, xk) = v3 & sdtasdt0(xn, xm)
% 24.44/4.05 | = v2 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 24.44/4.05 | aNaturalNumber0(v4) & aNaturalNumber0(v0))
% 24.44/4.05 |
% 24.44/4.05 | ALPHA: (m__2613) implies:
% 24.67/4.05 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (sdtsldt0(xk, xr) = v0 &
% 24.67/4.05 | sdtsldt0(xn, xr) = v1 & sdtasdt0(v1, xm) = v2 & sdtasdt0(xr, v1) = xn
% 24.67/4.05 | & sdtasdt0(xr, v0) = xk & sdtasdt0(xp, v0) = v2 & $i(v2) & $i(v1) &
% 24.67/4.05 | $i(v0) & aNaturalNumber0(v1) & aNaturalNumber0(v0))
% 24.67/4.05 |
% 24.67/4.05 | ALPHA: (m__) implies:
% 24.67/4.05 | (4) ? [v0: $i] : ? [v1: $i] : (sdtsldt0(xn, xr) = v0 & sdtasdt0(v0, xm) =
% 24.67/4.05 | v1 & sdtasdt0(xr, v0) = xn & $i(v1) & $i(v0) & aNaturalNumber0(v0) &
% 24.67/4.05 | ~ doDivides0(xp, v1) & ! [v2: $i] : ( ~ (sdtasdt0(xp, v2) = v1) | ~
% 24.67/4.05 | $i(v2) | ~ aNaturalNumber0(v2)))
% 24.67/4.05 |
% 24.67/4.05 | ALPHA: (function-axioms) implies:
% 24.67/4.05 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 24.67/4.05 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 24.67/4.05 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 24.67/4.05 | (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0))
% 24.67/4.05 |
% 24.67/4.05 | DELTA: instantiating (1) with fresh symbols all_46_0, all_46_1 gives:
% 24.67/4.05 | (7) ~ (all_46_1 = xn) & sdtsldt0(xn, xr) = all_46_1 & sdtasdt0(xr,
% 24.67/4.05 | all_46_1) = xn & sdtpldt0(all_46_1, all_46_0) = xn & $i(all_46_0) &
% 24.67/4.05 | $i(all_46_1) & sdtlseqdt0(all_46_1, xn) & aNaturalNumber0(all_46_0) &
% 24.67/4.05 | aNaturalNumber0(all_46_1)
% 24.67/4.05 |
% 24.67/4.05 | ALPHA: (7) implies:
% 24.67/4.05 | (8) sdtsldt0(xn, xr) = all_46_1
% 24.67/4.05 |
% 24.67/4.05 | DELTA: instantiating (4) with fresh symbols all_52_0, all_52_1 gives:
% 24.67/4.05 | (9) sdtsldt0(xn, xr) = all_52_1 & sdtasdt0(all_52_1, xm) = all_52_0 &
% 24.67/4.05 | sdtasdt0(xr, all_52_1) = xn & $i(all_52_0) & $i(all_52_1) &
% 24.67/4.05 | aNaturalNumber0(all_52_1) & ~ doDivides0(xp, all_52_0) & ! [v0: $i] :
% 24.67/4.05 | ( ~ (sdtasdt0(xp, v0) = all_52_0) | ~ $i(v0) | ~ aNaturalNumber0(v0))
% 24.67/4.05 |
% 24.67/4.05 | ALPHA: (9) implies:
% 24.67/4.05 | (10) sdtasdt0(all_52_1, xm) = all_52_0
% 24.67/4.05 | (11) sdtsldt0(xn, xr) = all_52_1
% 24.67/4.05 | (12) ! [v0: $i] : ( ~ (sdtasdt0(xp, v0) = all_52_0) | ~ $i(v0) | ~
% 24.67/4.05 | aNaturalNumber0(v0))
% 24.67/4.05 |
% 24.67/4.05 | DELTA: instantiating (3) with fresh symbols all_57_0, all_57_1, all_57_2
% 24.67/4.05 | gives:
% 24.67/4.05 | (13) sdtsldt0(xk, xr) = all_57_2 & sdtsldt0(xn, xr) = all_57_1 &
% 24.67/4.05 | sdtasdt0(all_57_1, xm) = all_57_0 & sdtasdt0(xr, all_57_1) = xn &
% 24.67/4.05 | sdtasdt0(xr, all_57_2) = xk & sdtasdt0(xp, all_57_2) = all_57_0 &
% 24.67/4.05 | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & aNaturalNumber0(all_57_1)
% 24.67/4.05 | & aNaturalNumber0(all_57_2)
% 24.67/4.05 |
% 24.67/4.05 | ALPHA: (13) implies:
% 24.67/4.05 | (14) aNaturalNumber0(all_57_2)
% 24.67/4.05 | (15) $i(all_57_2)
% 24.67/4.05 | (16) sdtasdt0(xp, all_57_2) = all_57_0
% 24.67/4.05 | (17) sdtasdt0(all_57_1, xm) = all_57_0
% 24.67/4.05 | (18) sdtsldt0(xn, xr) = all_57_1
% 24.67/4.05 |
% 24.67/4.05 | DELTA: instantiating (2) with fresh symbols all_59_0, all_59_1, all_59_2,
% 24.67/4.05 | all_59_3, all_59_4 gives:
% 24.67/4.06 | (19) sdtsldt0(all_59_1, xr) = all_59_0 & sdtsldt0(xn, xr) = all_59_4 &
% 24.67/4.06 | sdtasdt0(all_59_0, xr) = all_59_2 & sdtasdt0(all_59_3, xr) = all_59_2
% 24.67/4.06 | & sdtasdt0(all_59_4, xm) = all_59_3 & sdtasdt0(xr, all_59_0) =
% 24.67/4.06 | all_59_1 & sdtasdt0(xr, all_59_4) = xn & sdtasdt0(xp, xk) = all_59_1 &
% 24.67/4.06 | sdtasdt0(xn, xm) = all_59_2 & $i(all_59_0) & $i(all_59_1) &
% 24.67/4.06 | $i(all_59_2) & $i(all_59_3) & $i(all_59_4) & aNaturalNumber0(all_59_0)
% 24.67/4.06 | & aNaturalNumber0(all_59_4)
% 24.67/4.06 |
% 24.67/4.06 | ALPHA: (19) implies:
% 24.72/4.06 | (20) sdtasdt0(all_59_4, xm) = all_59_3
% 24.72/4.06 | (21) sdtsldt0(xn, xr) = all_59_4
% 24.72/4.06 |
% 24.72/4.06 | GROUND_INST: instantiating (6) with all_46_1, all_57_1, xr, xn, simplifying
% 24.72/4.06 | with (8), (18) gives:
% 24.72/4.06 | (22) all_57_1 = all_46_1
% 24.72/4.06 |
% 24.72/4.06 | GROUND_INST: instantiating (6) with all_57_1, all_59_4, xr, xn, simplifying
% 24.72/4.06 | with (18), (21) gives:
% 24.72/4.06 | (23) all_59_4 = all_57_1
% 24.72/4.06 |
% 24.72/4.06 | GROUND_INST: instantiating (6) with all_52_1, all_59_4, xr, xn, simplifying
% 24.72/4.06 | with (11), (21) gives:
% 24.72/4.06 | (24) all_59_4 = all_52_1
% 24.72/4.06 |
% 24.72/4.06 | COMBINE_EQS: (23), (24) imply:
% 24.72/4.06 | (25) all_57_1 = all_52_1
% 24.72/4.06 |
% 24.72/4.06 | SIMP: (25) implies:
% 24.72/4.06 | (26) all_57_1 = all_52_1
% 24.72/4.06 |
% 24.72/4.06 | COMBINE_EQS: (22), (26) imply:
% 24.72/4.06 | (27) all_52_1 = all_46_1
% 24.72/4.06 |
% 24.72/4.06 | COMBINE_EQS: (24), (27) imply:
% 24.72/4.06 | (28) all_59_4 = all_46_1
% 24.72/4.06 |
% 24.72/4.06 | REDUCE: (20), (28) imply:
% 24.72/4.06 | (29) sdtasdt0(all_46_1, xm) = all_59_3
% 24.72/4.06 |
% 24.72/4.06 | REDUCE: (17), (22) imply:
% 24.72/4.06 | (30) sdtasdt0(all_46_1, xm) = all_57_0
% 24.72/4.06 |
% 24.72/4.06 | REDUCE: (10), (27) imply:
% 24.72/4.06 | (31) sdtasdt0(all_46_1, xm) = all_52_0
% 24.72/4.06 |
% 24.72/4.06 | GROUND_INST: instantiating (5) with all_57_0, all_59_3, xm, all_46_1,
% 24.72/4.06 | simplifying with (29), (30) gives:
% 24.72/4.06 | (32) all_59_3 = all_57_0
% 24.72/4.06 |
% 24.72/4.06 | GROUND_INST: instantiating (5) with all_52_0, all_59_3, xm, all_46_1,
% 24.72/4.06 | simplifying with (29), (31) gives:
% 24.72/4.06 | (33) all_59_3 = all_52_0
% 24.72/4.06 |
% 24.72/4.06 | COMBINE_EQS: (32), (33) imply:
% 24.72/4.06 | (34) all_57_0 = all_52_0
% 24.72/4.06 |
% 24.72/4.06 | SIMP: (34) implies:
% 24.72/4.06 | (35) all_57_0 = all_52_0
% 24.72/4.06 |
% 24.72/4.06 | REDUCE: (16), (35) imply:
% 24.72/4.06 | (36) sdtasdt0(xp, all_57_2) = all_52_0
% 24.72/4.06 |
% 24.72/4.06 | GROUND_INST: instantiating (12) with all_57_2, simplifying with (14), (15),
% 24.72/4.06 | (36) gives:
% 24.72/4.06 | (37) $false
% 24.72/4.06 |
% 24.72/4.06 | CLOSE: (37) is inconsistent.
% 24.72/4.06 |
% 24.72/4.06 End of proof
% 24.72/4.06 % SZS output end Proof for theBenchmark
% 24.72/4.06
% 24.72/4.06 3450ms
%------------------------------------------------------------------------------