TSTP Solution File: RNG074+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : RNG074+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 : n019.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 13:57:42 EDT 2023
% Result : Theorem 8.18s 1.90s
% Output : Proof 15.60s
% 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 : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.17/0.34 % Computer : n019.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sun Aug 27 01:33:58 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.78/1.25 Prover 4: Preprocessing ...
% 3.78/1.26 Prover 1: Preprocessing ...
% 4.24/1.31 Prover 6: Preprocessing ...
% 4.24/1.31 Prover 2: Preprocessing ...
% 4.24/1.31 Prover 5: Preprocessing ...
% 4.24/1.31 Prover 0: Preprocessing ...
% 4.24/1.31 Prover 3: Preprocessing ...
% 7.91/1.85 Prover 3: Constructing countermodel ...
% 7.91/1.85 Prover 6: Constructing countermodel ...
% 8.18/1.89 Prover 6: proved (1252ms)
% 8.18/1.90
% 8.18/1.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.18/1.90
% 8.18/1.90 Prover 3: proved (1262ms)
% 8.18/1.90
% 8.18/1.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.18/1.90
% 8.18/1.91 Prover 0: stopped
% 8.18/1.91 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.18/1.91 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.18/1.92 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 9.02/1.99 Prover 7: Preprocessing ...
% 9.02/2.00 Prover 8: Preprocessing ...
% 9.02/2.02 Prover 10: Preprocessing ...
% 9.63/2.06 Prover 2: Constructing countermodel ...
% 9.63/2.06 Prover 2: stopped
% 9.63/2.07 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 9.63/2.16 Prover 11: Preprocessing ...
% 9.63/2.18 Prover 1: Constructing countermodel ...
% 11.22/2.32 Prover 8: Warning: ignoring some quantifiers
% 11.22/2.34 Prover 8: Constructing countermodel ...
% 12.03/2.39 Prover 10: Constructing countermodel ...
% 12.03/2.39 Prover 5: Constructing countermodel ...
% 12.03/2.42 Prover 5: stopped
% 12.03/2.42 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 12.50/2.47 Prover 7: Constructing countermodel ...
% 12.50/2.50 Prover 13: Preprocessing ...
% 13.07/2.56 Prover 4: Constructing countermodel ...
% 14.56/2.73 Prover 10: Found proof (size 49)
% 14.56/2.73 Prover 10: proved (828ms)
% 14.56/2.74 Prover 4: stopped
% 14.56/2.74 Prover 1: stopped
% 14.56/2.74 Prover 7: stopped
% 14.56/2.74 Prover 8: stopped
% 14.56/2.78 Prover 13: Constructing countermodel ...
% 14.56/2.79 Prover 13: stopped
% 14.56/2.83 Prover 11: Constructing countermodel ...
% 14.56/2.85 Prover 11: stopped
% 15.18/2.85
% 15.18/2.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.18/2.85
% 15.18/2.86 % SZS output start Proof for theBenchmark
% 15.18/2.87 Assumptions after simplification:
% 15.18/2.87 ---------------------------------
% 15.18/2.87
% 15.18/2.87 (m__2405)
% 15.18/2.90 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 15.18/2.90 $i] : (sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = v1 & sdtpldt0(xP, xP) = v0
% 15.18/2.90 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & sdtlseqdt0(v1,
% 15.18/2.90 v3))
% 15.18/2.90
% 15.18/2.90 (m__2590)
% 15.18/2.91 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : (sdtpldt0(xP, xP) = v0
% 15.18/2.91 & sdtpldt0(xR, xS) = v1 & $i(v1) & $i(v0) & ~ sdtlseqdt0(v0, v1))
% 15.18/2.91
% 15.18/2.91 (m__2610)
% 15.18/2.91 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : (sdtpldt0(xP, xP) = v1
% 15.18/2.91 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0) & sdtlseqdt0(v0, v1))
% 15.18/2.91
% 15.18/2.91 (m__2628)
% 15.18/2.91 $i(xS) & $i(xP) & $i(xR) & $i(sz0z00) & ? [v0: $i] : ? [v1: $i] :
% 15.18/2.91 (sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0) &
% 15.18/2.91 sdtlseqdt0(sz0z00, v1) & sdtlseqdt0(sz0z00, v0))
% 15.18/2.91
% 15.18/2.91 (m__2654)
% 15.18/2.91 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 15.18/2.91 $i] : (sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = v1 & sdtpldt0(xP, xP) = v2
% 15.18/2.91 & sdtpldt0(xR, xS) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & sdtlseqdt0(v1,
% 15.18/2.91 v3))
% 15.18/2.91
% 15.18/2.91 (m__2679)
% 15.18/2.91 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : (sdtpldt0(xP, xP) = v0 & sdtpldt0(xR,
% 15.18/2.91 xS) = v0 & $i(v0))
% 15.18/2.91
% 15.18/2.91 (function-axioms)
% 15.18/2.92 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 15.18/2.92 (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 15.18/2.92 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1)
% 15.18/2.92 | ~ (sdtlbdtrb0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 15.18/2.92 ! [v3: $i] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) =
% 15.18/2.92 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 15.18/2.92 ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: $i] : !
% 15.18/2.92 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~
% 15.18/2.92 (sziznziztdt0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 15.18/2.92 v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) & ! [v0:
% 15.18/2.92 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~
% 15.18/2.92 (smndt0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 15.18/2.92 (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0))
% 15.18/2.92
% 15.18/2.92 Further assumptions not needed in the proof:
% 15.18/2.92 --------------------------------------------
% 15.18/2.92 mArith, mDefInit, mDefSPN, mDefSPZ, mDimNat, mDistr, mDistr2, mElmSc, mEqInit,
% 15.18/2.92 mIH, mIHOrd, mLEASm, mLEMon, mLEMonM, mLERef, mLETot, mLETrn, mLess, mMDNeg,
% 15.18/2.92 mMNeg, mMulSc, mNatExtr, mNatSort, mNegSc, mPosMon, mSZeroSc, mScPr, mScSort,
% 15.18/2.92 mScSqPos, mScZero, mSqPos, mSqrt, mSuccEqu, mSuccNat, mSumSc, mVcSort, mZeroNat,
% 15.18/2.92 m__, m__1652, m__1678, m__1678_01, m__1692, m__1709, m__1726, m__1746, m__1766,
% 15.18/2.92 m__1783, m__1800, m__1820, m__1837, m__1854, m__1873, m__1892, m__1911, m__1930,
% 15.18/2.92 m__1949, m__1967, m__2004, m__2104
% 15.18/2.92
% 15.18/2.92 Those formulas are unsatisfiable:
% 15.18/2.92 ---------------------------------
% 15.18/2.92
% 15.18/2.92 Begin of proof
% 15.18/2.92 |
% 15.18/2.92 | ALPHA: (m__2405) implies:
% 15.60/2.92 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtasdt0(v2,
% 15.60/2.92 | v2) = v3 & sdtasdt0(v0, v0) = v1 & sdtpldt0(xP, xP) = v0 &
% 15.60/2.92 | sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 15.60/2.92 | sdtlseqdt0(v1, v3))
% 15.60/2.92 |
% 15.60/2.92 | ALPHA: (m__2590) implies:
% 15.60/2.92 | (2) ? [v0: $i] : ? [v1: $i] : (sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) =
% 15.60/2.92 | v1 & $i(v1) & $i(v0) & ~ sdtlseqdt0(v0, v1))
% 15.60/2.92 |
% 15.60/2.92 | ALPHA: (m__2610) implies:
% 15.60/2.92 | (3) ? [v0: $i] : ? [v1: $i] : (sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) =
% 15.60/2.92 | v0 & $i(v1) & $i(v0) & sdtlseqdt0(v0, v1))
% 15.60/2.92 |
% 15.60/2.92 | ALPHA: (m__2628) implies:
% 15.60/2.92 | (4) ? [v0: $i] : ? [v1: $i] : (sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) =
% 15.60/2.92 | v0 & $i(v1) & $i(v0) & sdtlseqdt0(sz0z00, v1) & sdtlseqdt0(sz0z00,
% 15.60/2.93 | v0))
% 15.60/2.93 |
% 15.60/2.93 | ALPHA: (m__2654) implies:
% 15.60/2.93 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtasdt0(v2,
% 15.60/2.93 | v2) = v3 & sdtasdt0(v0, v0) = v1 & sdtpldt0(xP, xP) = v2 &
% 15.60/2.93 | sdtpldt0(xR, xS) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 15.60/2.93 | sdtlseqdt0(v1, v3))
% 15.60/2.93 |
% 15.60/2.93 | ALPHA: (m__2679) implies:
% 15.60/2.93 | (6) ? [v0: $i] : (sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v0 & $i(v0))
% 15.60/2.93 |
% 15.60/2.93 | ALPHA: (function-axioms) implies:
% 15.60/2.93 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 15.60/2.93 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 15.60/2.93 |
% 15.60/2.93 | DELTA: instantiating (6) with fresh symbol all_33_0 gives:
% 15.60/2.93 | (8) sdtpldt0(xP, xP) = all_33_0 & sdtpldt0(xR, xS) = all_33_0 &
% 15.60/2.93 | $i(all_33_0)
% 15.60/2.93 |
% 15.60/2.93 | ALPHA: (8) implies:
% 15.60/2.93 | (9) sdtpldt0(xR, xS) = all_33_0
% 15.60/2.93 | (10) sdtpldt0(xP, xP) = all_33_0
% 15.60/2.93 |
% 15.60/2.93 | DELTA: instantiating (3) with fresh symbols all_45_0, all_45_1 gives:
% 15.60/2.93 | (11) sdtpldt0(xP, xP) = all_45_0 & sdtpldt0(xR, xS) = all_45_1 &
% 15.60/2.93 | $i(all_45_0) & $i(all_45_1) & sdtlseqdt0(all_45_1, all_45_0)
% 15.60/2.93 |
% 15.60/2.93 | ALPHA: (11) implies:
% 15.60/2.93 | (12) sdtlseqdt0(all_45_1, all_45_0)
% 15.60/2.93 | (13) sdtpldt0(xR, xS) = all_45_1
% 15.60/2.93 | (14) sdtpldt0(xP, xP) = all_45_0
% 15.60/2.93 |
% 15.60/2.93 | DELTA: instantiating (2) with fresh symbols all_47_0, all_47_1 gives:
% 15.60/2.93 | (15) sdtpldt0(xP, xP) = all_47_1 & sdtpldt0(xR, xS) = all_47_0 &
% 15.60/2.93 | $i(all_47_0) & $i(all_47_1) & ~ sdtlseqdt0(all_47_1, all_47_0)
% 15.60/2.93 |
% 15.60/2.93 | ALPHA: (15) implies:
% 15.60/2.93 | (16) ~ sdtlseqdt0(all_47_1, all_47_0)
% 15.60/2.93 | (17) sdtpldt0(xR, xS) = all_47_0
% 15.60/2.93 | (18) sdtpldt0(xP, xP) = all_47_1
% 15.60/2.93 |
% 15.60/2.93 | DELTA: instantiating (4) with fresh symbols all_51_0, all_51_1 gives:
% 15.60/2.93 | (19) sdtpldt0(xP, xP) = all_51_0 & sdtpldt0(xR, xS) = all_51_1 &
% 15.60/2.93 | $i(all_51_0) & $i(all_51_1) & sdtlseqdt0(sz0z00, all_51_0) &
% 15.60/2.93 | sdtlseqdt0(sz0z00, all_51_1)
% 15.60/2.93 |
% 15.60/2.93 | ALPHA: (19) implies:
% 15.60/2.93 | (20) sdtpldt0(xR, xS) = all_51_1
% 15.60/2.93 | (21) sdtpldt0(xP, xP) = all_51_0
% 15.60/2.93 |
% 15.60/2.93 | DELTA: instantiating (5) with fresh symbols all_53_0, all_53_1, all_53_2,
% 15.60/2.93 | all_53_3 gives:
% 15.60/2.94 | (22) sdtasdt0(all_53_1, all_53_1) = all_53_0 & sdtasdt0(all_53_3, all_53_3)
% 15.60/2.94 | = all_53_2 & sdtpldt0(xP, xP) = all_53_1 & sdtpldt0(xR, xS) = all_53_3
% 15.60/2.94 | & $i(all_53_0) & $i(all_53_1) & $i(all_53_2) & $i(all_53_3) &
% 15.60/2.94 | sdtlseqdt0(all_53_2, all_53_0)
% 15.60/2.94 |
% 15.60/2.94 | ALPHA: (22) implies:
% 15.60/2.94 | (23) sdtpldt0(xR, xS) = all_53_3
% 15.60/2.94 | (24) sdtpldt0(xP, xP) = all_53_1
% 15.60/2.94 |
% 15.60/2.94 | DELTA: instantiating (1) with fresh symbols all_55_0, all_55_1, all_55_2,
% 15.60/2.94 | all_55_3 gives:
% 15.60/2.94 | (25) sdtasdt0(all_55_1, all_55_1) = all_55_0 & sdtasdt0(all_55_3, all_55_3)
% 15.60/2.94 | = all_55_2 & sdtpldt0(xP, xP) = all_55_3 & sdtpldt0(xR, xS) = all_55_1
% 15.60/2.94 | & $i(all_55_0) & $i(all_55_1) & $i(all_55_2) & $i(all_55_3) &
% 15.60/2.94 | sdtlseqdt0(all_55_2, all_55_0)
% 15.60/2.94 |
% 15.60/2.94 | ALPHA: (25) implies:
% 15.60/2.94 | (26) sdtpldt0(xR, xS) = all_55_1
% 15.60/2.94 | (27) sdtpldt0(xP, xP) = all_55_3
% 15.60/2.94 |
% 15.60/2.94 | GROUND_INST: instantiating (7) with all_45_1, all_47_0, xS, xR, simplifying
% 15.60/2.94 | with (13), (17) gives:
% 15.60/2.94 | (28) all_47_0 = all_45_1
% 15.60/2.94 |
% 15.60/2.94 | GROUND_INST: instantiating (7) with all_47_0, all_51_1, xS, xR, simplifying
% 15.60/2.94 | with (17), (20) gives:
% 15.60/2.94 | (29) all_51_1 = all_47_0
% 15.60/2.94 |
% 15.60/2.94 | GROUND_INST: instantiating (7) with all_51_1, all_53_3, xS, xR, simplifying
% 15.60/2.94 | with (20), (23) gives:
% 15.60/2.94 | (30) all_53_3 = all_51_1
% 15.60/2.94 |
% 15.60/2.94 | GROUND_INST: instantiating (7) with all_53_3, all_55_1, xS, xR, simplifying
% 15.60/2.94 | with (23), (26) gives:
% 15.60/2.94 | (31) all_55_1 = all_53_3
% 15.60/2.94 |
% 15.60/2.94 | GROUND_INST: instantiating (7) with all_33_0, all_55_1, xS, xR, simplifying
% 15.60/2.94 | with (9), (26) gives:
% 15.60/2.94 | (32) all_55_1 = all_33_0
% 15.60/2.94 |
% 15.60/2.94 | GROUND_INST: instantiating (7) with all_47_1, all_51_0, xP, xP, simplifying
% 15.60/2.94 | with (18), (21) gives:
% 15.60/2.94 | (33) all_51_0 = all_47_1
% 15.60/2.94 |
% 15.60/2.94 | GROUND_INST: instantiating (7) with all_45_0, all_51_0, xP, xP, simplifying
% 15.60/2.94 | with (14), (21) gives:
% 15.60/2.94 | (34) all_51_0 = all_45_0
% 15.60/2.94 |
% 15.60/2.94 | GROUND_INST: instantiating (7) with all_53_1, all_55_3, xP, xP, simplifying
% 15.60/2.94 | with (24), (27) gives:
% 15.60/2.94 | (35) all_55_3 = all_53_1
% 15.60/2.94 |
% 15.60/2.94 | GROUND_INST: instantiating (7) with all_47_1, all_55_3, xP, xP, simplifying
% 15.60/2.94 | with (18), (27) gives:
% 15.60/2.94 | (36) all_55_3 = all_47_1
% 15.60/2.94 |
% 15.60/2.94 | GROUND_INST: instantiating (7) with all_33_0, all_55_3, xP, xP, simplifying
% 15.60/2.94 | with (10), (27) gives:
% 15.60/2.94 | (37) all_55_3 = all_33_0
% 15.60/2.94 |
% 15.60/2.94 | COMBINE_EQS: (31), (32) imply:
% 15.60/2.94 | (38) all_53_3 = all_33_0
% 15.60/2.94 |
% 15.60/2.94 | SIMP: (38) implies:
% 15.60/2.94 | (39) all_53_3 = all_33_0
% 15.60/2.94 |
% 15.60/2.94 | COMBINE_EQS: (35), (36) imply:
% 15.60/2.94 | (40) all_53_1 = all_47_1
% 15.60/2.94 |
% 15.60/2.94 | COMBINE_EQS: (35), (37) imply:
% 15.60/2.94 | (41) all_53_1 = all_33_0
% 15.60/2.94 |
% 15.60/2.94 | COMBINE_EQS: (40), (41) imply:
% 15.60/2.94 | (42) all_47_1 = all_33_0
% 15.60/2.94 |
% 15.60/2.94 | SIMP: (42) implies:
% 15.60/2.94 | (43) all_47_1 = all_33_0
% 15.60/2.94 |
% 15.60/2.94 | COMBINE_EQS: (30), (39) imply:
% 15.60/2.94 | (44) all_51_1 = all_33_0
% 15.60/2.94 |
% 15.60/2.94 | SIMP: (44) implies:
% 15.60/2.94 | (45) all_51_1 = all_33_0
% 15.60/2.94 |
% 15.60/2.95 | COMBINE_EQS: (33), (34) imply:
% 15.60/2.95 | (46) all_47_1 = all_45_0
% 15.60/2.95 |
% 15.60/2.95 | SIMP: (46) implies:
% 15.60/2.95 | (47) all_47_1 = all_45_0
% 15.60/2.95 |
% 15.60/2.95 | COMBINE_EQS: (29), (45) imply:
% 15.60/2.95 | (48) all_47_0 = all_33_0
% 15.60/2.95 |
% 15.60/2.95 | SIMP: (48) implies:
% 15.60/2.95 | (49) all_47_0 = all_33_0
% 15.60/2.95 |
% 15.60/2.95 | COMBINE_EQS: (28), (49) imply:
% 15.60/2.95 | (50) all_45_1 = all_33_0
% 15.60/2.95 |
% 15.60/2.95 | SIMP: (50) implies:
% 15.60/2.95 | (51) all_45_1 = all_33_0
% 15.60/2.95 |
% 15.60/2.95 | COMBINE_EQS: (43), (47) imply:
% 15.60/2.95 | (52) all_45_0 = all_33_0
% 15.60/2.95 |
% 15.60/2.95 | SIMP: (52) implies:
% 15.60/2.95 | (53) all_45_0 = all_33_0
% 15.60/2.95 |
% 15.60/2.95 | REDUCE: (12), (51), (53) imply:
% 15.60/2.95 | (54) sdtlseqdt0(all_33_0, all_33_0)
% 15.60/2.95 |
% 15.60/2.95 | REDUCE: (16), (43), (49) imply:
% 15.60/2.95 | (55) ~ sdtlseqdt0(all_33_0, all_33_0)
% 15.60/2.95 |
% 15.60/2.95 | PRED_UNIFY: (54), (55) imply:
% 15.60/2.95 | (56) $false
% 15.60/2.95 |
% 15.60/2.95 | CLOSE: (56) is inconsistent.
% 15.60/2.95 |
% 15.60/2.95 End of proof
% 15.60/2.95 % SZS output end Proof for theBenchmark
% 15.60/2.95
% 15.60/2.95 2339ms
%------------------------------------------------------------------------------