TSTP Solution File: GEG025_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GEG025_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% 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 : Wed Aug 30 22:40:40 EDT 2023
% Result : Theorem 12.24s 2.36s
% Output : Proof 22.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEG025_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 00:58:53 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.60 ________ _____
% 0.18/0.60 ___ __ \_________(_)________________________________
% 0.18/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.18/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.18/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.18/0.60
% 0.18/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.60 (2023-06-19)
% 0.18/0.60
% 0.18/0.60 (c) Philipp Rümmer, 2009-2023
% 0.18/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.60 Amanda Stjerna.
% 0.18/0.60 Free software under BSD-3-Clause.
% 0.18/0.60
% 0.18/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.60
% 0.18/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.18/0.61 Running up to 7 provers in parallel.
% 0.18/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.02/1.03 Prover 1: Preprocessing ...
% 2.02/1.03 Prover 4: Preprocessing ...
% 2.61/1.08 Prover 3: Preprocessing ...
% 2.61/1.08 Prover 0: Preprocessing ...
% 2.61/1.08 Prover 5: Preprocessing ...
% 2.61/1.08 Prover 6: Preprocessing ...
% 2.61/1.08 Prover 2: Preprocessing ...
% 3.88/1.24 Prover 1: Constructing countermodel ...
% 3.88/1.24 Prover 6: Proving ...
% 3.88/1.24 Prover 3: Constructing countermodel ...
% 4.17/1.25 Prover 4: Constructing countermodel ...
% 4.17/1.27 Prover 0: Proving ...
% 4.17/1.30 Prover 5: Proving ...
% 4.17/1.31 Prover 2: Proving ...
% 12.24/2.36 Prover 3: proved (1738ms)
% 12.24/2.36
% 12.24/2.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.24/2.36
% 12.24/2.36 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 12.24/2.36 Prover 2: stopped
% 12.24/2.36 Prover 5: stopped
% 12.24/2.36 Prover 0: stopped
% 12.45/2.40 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.45/2.40 Prover 6: stopped
% 12.45/2.40 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.45/2.40 Prover 8: Preprocessing ...
% 12.45/2.40 Prover 7: Preprocessing ...
% 12.45/2.40 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.45/2.40 Prover 10: Preprocessing ...
% 12.45/2.40 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 12.45/2.41 Prover 8: Warning: ignoring some quantifiers
% 12.45/2.41 Prover 8: Constructing countermodel ...
% 12.88/2.42 Prover 13: Preprocessing ...
% 12.88/2.43 Prover 7: Constructing countermodel ...
% 12.88/2.43 Prover 11: Preprocessing ...
% 12.88/2.43 Prover 10: Constructing countermodel ...
% 13.13/2.48 Prover 11: Constructing countermodel ...
% 13.13/2.48 Prover 13: Warning: ignoring some quantifiers
% 13.13/2.49 Prover 13: Constructing countermodel ...
% 21.65/3.61 Prover 1: Found proof (size 209)
% 21.65/3.61 Prover 1: proved (2988ms)
% 21.65/3.61 Prover 10: stopped
% 21.65/3.61 Prover 8: stopped
% 21.65/3.61 Prover 13: stopped
% 21.65/3.61 Prover 11: stopped
% 21.65/3.61 Prover 7: stopped
% 21.65/3.61 Prover 4: stopped
% 21.65/3.61
% 21.65/3.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.65/3.61
% 22.20/3.67 % SZS output start Proof for theBenchmark
% 22.20/3.67 Assumptions after simplification:
% 22.20/3.67 ---------------------------------
% 22.20/3.67
% 22.20/3.67 (exists_big_city_distance_2)
% 22.33/3.69 inh(munich) = 1330440 & inh(saarbruecken) = 175810 & inh(frankfurt) = 671927 &
% 22.33/3.69 inh(cologne) = 998105 & inh(berlin) = 3442675 & inh(hamburg) = 1774224 &
% 22.33/3.69 inh(kiel) = 238281 & d(munich, saarbruecken) = 360 & d(munich, frankfurt) =
% 22.33/3.69 300 & d(saarbruecken, frankfurt) = 160 & d(saarbruecken, cologne) = 190 &
% 22.33/3.69 d(cologne, frankfurt) = 150 & d(berlin, munich) = 510 & d(berlin, frankfurt) =
% 22.33/3.69 420 & d(berlin, cologne) = 480 & d(hamburg, frankfurt) = 390 & d(hamburg,
% 22.33/3.69 cologne) = 360 & d(hamburg, berlin) = 250 & d(hamburg, kiel) = 90 &
% 22.33/3.69 city(munich) & city(saarbruecken) & city(frankfurt) & city(cologne) &
% 22.33/3.69 city(berlin) & city(hamburg) & city(kiel) & ! [v0: city] : ! [v1: city] : !
% 22.33/3.69 [v2: city] : ! [v3: int] : ! [v4: int] : ( ~ (d(v0, v2) = v4) | ~ (d(v0,
% 22.33/3.69 v1) = v3) | ~ city(v2) | ~ city(v1) | ~ city(v0) | ? [v5: int] :
% 22.33/3.69 ($lesseq(0, $sum($difference(v5, v4), v3)) & d(v1, v2) = v5)) & ! [v0:
% 22.33/3.69 city] : ! [v1: city] : ! [v2: int] : ( ~ (d(v0, v1) = v2) | ~ city(v1) |
% 22.33/3.69 ~ city(v0) | d(v1, v0) = v2) & ! [v0: city] : ! [v1: int] : (v1 = 0 | ~
% 22.33/3.69 (d(v0, v0) = v1) | ~ city(v0)) & ! [v0: city] : ! [v1: int] : ( ~
% 22.33/3.69 ($lesseq(v1, 600)) | ~ (d(saarbruecken, v0) = v1) | ~ city(v0) | ? [v2:
% 22.33/3.69 int] : ($lesseq(v2, 2999999) & inh(v0) = v2))
% 22.33/3.69
% 22.33/3.69 (function-axioms)
% 22.33/3.69 ! [v0: int] : ! [v1: int] : ! [v2: city] : ! [v3: city] : (v1 = v0 | ~
% 22.33/3.69 (d(v3, v2) = v1) | ~ (d(v3, v2) = v0)) & ! [v0: int] : ! [v1: int] : !
% 22.33/3.69 [v2: city] : (v1 = v0 | ~ (inh(v2) = v1) | ~ (inh(v2) = v0))
% 22.33/3.69
% 22.33/3.69 Those formulas are unsatisfiable:
% 22.33/3.69 ---------------------------------
% 22.33/3.69
% 22.33/3.69 Begin of proof
% 22.33/3.69 |
% 22.33/3.69 | ALPHA: (exists_big_city_distance_2) implies:
% 22.33/3.69 | (1) city(kiel)
% 22.33/3.69 | (2) city(hamburg)
% 22.33/3.69 | (3) city(berlin)
% 22.33/3.69 | (4) city(cologne)
% 22.33/3.69 | (5) city(frankfurt)
% 22.33/3.70 | (6) city(saarbruecken)
% 22.33/3.70 | (7) city(munich)
% 22.33/3.70 | (8) d(hamburg, kiel) = 90
% 22.33/3.70 | (9) d(hamburg, berlin) = 250
% 22.33/3.70 | (10) d(hamburg, cologne) = 360
% 22.33/3.70 | (11) d(hamburg, frankfurt) = 390
% 22.33/3.70 | (12) d(berlin, cologne) = 480
% 22.33/3.70 | (13) d(berlin, frankfurt) = 420
% 22.33/3.70 | (14) d(berlin, munich) = 510
% 22.33/3.70 | (15) d(cologne, frankfurt) = 150
% 22.33/3.70 | (16) d(saarbruecken, cologne) = 190
% 22.33/3.70 | (17) d(saarbruecken, frankfurt) = 160
% 22.33/3.70 | (18) d(munich, frankfurt) = 300
% 22.33/3.70 | (19) d(munich, saarbruecken) = 360
% 22.33/3.70 | (20) inh(berlin) = 3442675
% 22.33/3.70 | (21) ! [v0: city] : ! [v1: int] : ( ~ ($lesseq(v1, 600)) | ~
% 22.33/3.70 | (d(saarbruecken, v0) = v1) | ~ city(v0) | ? [v2: int] :
% 22.33/3.70 | ($lesseq(v2, 2999999) & inh(v0) = v2))
% 22.33/3.70 | (22) ! [v0: city] : ! [v1: city] : ! [v2: int] : ( ~ (d(v0, v1) = v2) |
% 22.33/3.70 | ~ city(v1) | ~ city(v0) | d(v1, v0) = v2)
% 22.33/3.70 | (23) ! [v0: city] : ! [v1: city] : ! [v2: city] : ! [v3: int] : ! [v4:
% 22.33/3.70 | int] : ( ~ (d(v0, v2) = v4) | ~ (d(v0, v1) = v3) | ~ city(v2) | ~
% 22.33/3.70 | city(v1) | ~ city(v0) | ? [v5: int] : ($lesseq(0,
% 22.33/3.70 | $sum($difference(v5, v4), v3)) & d(v1, v2) = v5))
% 22.33/3.70 |
% 22.33/3.70 | ALPHA: (function-axioms) implies:
% 22.33/3.70 | (24) ! [v0: int] : ! [v1: int] : ! [v2: city] : (v1 = v0 | ~ (inh(v2) =
% 22.33/3.70 | v1) | ~ (inh(v2) = v0))
% 22.33/3.70 | (25) ! [v0: int] : ! [v1: int] : ! [v2: city] : ! [v3: city] : (v1 = v0
% 22.33/3.70 | | ~ (d(v3, v2) = v1) | ~ (d(v3, v2) = v0))
% 22.33/3.70 |
% 22.33/3.70 | GROUND_INST: instantiating (22) with hamburg, kiel, 90, simplifying with (1),
% 22.33/3.70 | (2), (8) gives:
% 22.33/3.70 | (26) d(kiel, hamburg) = 90
% 22.33/3.70 |
% 22.33/3.70 | GROUND_INST: instantiating (23) with hamburg, berlin, berlin, 250, 250,
% 22.33/3.71 | simplifying with (2), (3), (9) gives:
% 22.33/3.71 | (27) ? [v0: int] : ($lesseq(0, v0) & d(berlin, berlin) = v0)
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (23) with hamburg, kiel, berlin, 90, 250,
% 22.33/3.71 | simplifying with (1), (2), (3), (8), (9) gives:
% 22.33/3.71 | (28) ? [v0: int] : ($lesseq(160, v0) & d(kiel, berlin) = v0)
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (23) with hamburg, berlin, kiel, 250, 90,
% 22.33/3.71 | simplifying with (1), (2), (3), (8), (9) gives:
% 22.33/3.71 | (29) ? [v0: int] : ($lesseq(-160, v0) & d(berlin, kiel) = v0)
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (22) with hamburg, berlin, 250, simplifying with
% 22.33/3.71 | (2), (3), (9) gives:
% 22.33/3.71 | (30) d(berlin, hamburg) = 250
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (23) with hamburg, cologne, berlin, 360, 250,
% 22.33/3.71 | simplifying with (2), (3), (4), (9), (10) gives:
% 22.33/3.71 | (31) ? [v0: int] : ($lesseq(-110, v0) & d(cologne, berlin) = v0)
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (23) with hamburg, cologne, kiel, 360, 90,
% 22.33/3.71 | simplifying with (1), (2), (4), (8), (10) gives:
% 22.33/3.71 | (32) ? [v0: int] : ($lesseq(-270, v0) & d(cologne, kiel) = v0)
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (22) with hamburg, cologne, 360, simplifying with
% 22.33/3.71 | (2), (4), (10) gives:
% 22.33/3.71 | (33) d(cologne, hamburg) = 360
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (23) with hamburg, frankfurt, berlin, 390, 250,
% 22.33/3.71 | simplifying with (2), (3), (5), (9), (11) gives:
% 22.33/3.71 | (34) ? [v0: int] : ($lesseq(-140, v0) & d(frankfurt, berlin) = v0)
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (23) with hamburg, kiel, frankfurt, 90, 390,
% 22.33/3.71 | simplifying with (1), (2), (5), (8), (11) gives:
% 22.33/3.71 | (35) ? [v0: int] : ($lesseq(300, v0) & d(kiel, frankfurt) = v0)
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (23) with hamburg, frankfurt, kiel, 390, 90,
% 22.33/3.71 | simplifying with (1), (2), (5), (8), (11) gives:
% 22.33/3.71 | (36) ? [v0: int] : ($lesseq(-300, v0) & d(frankfurt, kiel) = v0)
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (22) with hamburg, frankfurt, 390, simplifying with
% 22.33/3.71 | (2), (5), (11) gives:
% 22.33/3.71 | (37) d(frankfurt, hamburg) = 390
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (22) with berlin, cologne, 480, simplifying with
% 22.33/3.71 | (3), (4), (12) gives:
% 22.33/3.71 | (38) d(cologne, berlin) = 480
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (22) with berlin, frankfurt, 420, simplifying with
% 22.33/3.71 | (3), (5), (13) gives:
% 22.33/3.71 | (39) d(frankfurt, berlin) = 420
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (22) with berlin, munich, 510, simplifying with
% 22.33/3.71 | (3), (7), (14) gives:
% 22.33/3.71 | (40) d(munich, berlin) = 510
% 22.33/3.71 |
% 22.33/3.71 | GROUND_INST: instantiating (22) with saarbruecken, cologne, 190, simplifying
% 22.33/3.71 | with (4), (6), (16) gives:
% 22.33/3.71 | (41) d(cologne, saarbruecken) = 190
% 22.33/3.71 |
% 22.33/3.72 | GROUND_INST: instantiating (22) with saarbruecken, frankfurt, 160, simplifying
% 22.33/3.72 | with (5), (6), (17) gives:
% 22.33/3.72 | (42) d(frankfurt, saarbruecken) = 160
% 22.33/3.72 |
% 22.33/3.72 | GROUND_INST: instantiating (23) with munich, frankfurt, frankfurt, 300, 300,
% 22.33/3.72 | simplifying with (5), (7), (18) gives:
% 22.33/3.72 | (43) ? [v0: int] : ($lesseq(0, v0) & d(frankfurt, frankfurt) = v0)
% 22.33/3.72 |
% 22.33/3.72 | GROUND_INST: instantiating (23) with munich, saarbruecken, saarbruecken, 360,
% 22.33/3.72 | 360, simplifying with (6), (7), (19) gives:
% 22.33/3.72 | (44) ? [v0: int] : ($lesseq(0, v0) & d(saarbruecken, saarbruecken) = v0)
% 22.33/3.72 |
% 22.33/3.72 | GROUND_INST: instantiating (23) with munich, frankfurt, saarbruecken, 300,
% 22.33/3.72 | 360, simplifying with (5), (6), (7), (18), (19) gives:
% 22.33/3.72 | (45) ? [v0: int] : ($lesseq(60, v0) & d(frankfurt, saarbruecken) = v0)
% 22.33/3.72 |
% 22.33/3.72 | DELTA: instantiating (32) with fresh symbol all_13_0 gives:
% 22.33/3.72 | (46) $lesseq(-270, all_13_0) & d(cologne, kiel) = all_13_0
% 22.33/3.72 |
% 22.33/3.72 | ALPHA: (46) implies:
% 22.33/3.72 | (47) d(cologne, kiel) = all_13_0
% 22.33/3.72 |
% 22.33/3.72 | DELTA: instantiating (29) with fresh symbol all_19_0 gives:
% 22.33/3.72 | (48) $lesseq(-160, all_19_0) & d(berlin, kiel) = all_19_0
% 22.33/3.72 |
% 22.33/3.72 | ALPHA: (48) implies:
% 22.33/3.72 | (49) d(berlin, kiel) = all_19_0
% 22.33/3.72 |
% 22.33/3.72 | DELTA: instantiating (31) with fresh symbol all_22_0 gives:
% 22.33/3.72 | (50) $lesseq(-110, all_22_0) & d(cologne, berlin) = all_22_0
% 22.33/3.72 |
% 22.33/3.72 | ALPHA: (50) implies:
% 22.33/3.72 | (51) d(cologne, berlin) = all_22_0
% 22.33/3.72 |
% 22.33/3.72 | DELTA: instantiating (45) with fresh symbol all_31_0 gives:
% 22.33/3.72 | (52) $lesseq(60, all_31_0) & d(frankfurt, saarbruecken) = all_31_0
% 22.33/3.72 |
% 22.33/3.72 | ALPHA: (52) implies:
% 22.33/3.72 | (53) d(frankfurt, saarbruecken) = all_31_0
% 22.33/3.72 |
% 22.33/3.72 | DELTA: instantiating (36) with fresh symbol all_34_0 gives:
% 22.33/3.72 | (54) $lesseq(-300, all_34_0) & d(frankfurt, kiel) = all_34_0
% 22.33/3.72 |
% 22.33/3.72 | ALPHA: (54) implies:
% 22.33/3.72 | (55) d(frankfurt, kiel) = all_34_0
% 22.33/3.72 |
% 22.33/3.72 | DELTA: instantiating (35) with fresh symbol all_37_0 gives:
% 22.33/3.72 | (56) $lesseq(300, all_37_0) & d(kiel, frankfurt) = all_37_0
% 22.33/3.72 |
% 22.33/3.72 | ALPHA: (56) implies:
% 22.33/3.72 | (57) d(kiel, frankfurt) = all_37_0
% 22.33/3.72 |
% 22.33/3.72 | DELTA: instantiating (43) with fresh symbol all_40_0 gives:
% 22.33/3.72 | (58) $lesseq(0, all_40_0) & d(frankfurt, frankfurt) = all_40_0
% 22.33/3.72 |
% 22.33/3.72 | ALPHA: (58) implies:
% 22.33/3.72 | (59) d(frankfurt, frankfurt) = all_40_0
% 22.33/3.72 |
% 22.33/3.72 | DELTA: instantiating (34) with fresh symbol all_43_0 gives:
% 22.33/3.72 | (60) $lesseq(-140, all_43_0) & d(frankfurt, berlin) = all_43_0
% 22.33/3.72 |
% 22.33/3.72 | ALPHA: (60) implies:
% 22.33/3.72 | (61) d(frankfurt, berlin) = all_43_0
% 22.33/3.72 |
% 22.33/3.72 | DELTA: instantiating (44) with fresh symbol all_49_0 gives:
% 22.33/3.72 | (62) $lesseq(0, all_49_0) & d(saarbruecken, saarbruecken) = all_49_0
% 22.33/3.72 |
% 22.33/3.72 | ALPHA: (62) implies:
% 22.33/3.72 | (63) d(saarbruecken, saarbruecken) = all_49_0
% 22.33/3.72 |
% 22.33/3.72 | DELTA: instantiating (28) with fresh symbol all_55_0 gives:
% 22.33/3.72 | (64) $lesseq(160, all_55_0) & d(kiel, berlin) = all_55_0
% 22.33/3.72 |
% 22.33/3.72 | ALPHA: (64) implies:
% 22.33/3.72 | (65) d(kiel, berlin) = all_55_0
% 22.33/3.72 |
% 22.33/3.72 | DELTA: instantiating (27) with fresh symbol all_58_0 gives:
% 22.33/3.72 | (66) $lesseq(0, all_58_0) & d(berlin, berlin) = all_58_0
% 22.33/3.72 |
% 22.33/3.72 | ALPHA: (66) implies:
% 22.33/3.72 | (67) d(berlin, berlin) = all_58_0
% 22.33/3.72 |
% 22.33/3.72 | GROUND_INST: instantiating (25) with 480, all_22_0, berlin, cologne,
% 22.33/3.72 | simplifying with (38), (51) gives:
% 22.33/3.72 | (68) all_22_0 = 480
% 22.33/3.72 |
% 22.33/3.72 | GROUND_INST: instantiating (25) with 420, all_43_0, berlin, frankfurt,
% 22.33/3.72 | simplifying with (39), (61) gives:
% 22.33/3.72 | (69) all_43_0 = 420
% 22.33/3.72 |
% 22.33/3.72 | GROUND_INST: instantiating (25) with 160, all_31_0, saarbruecken, frankfurt,
% 22.33/3.72 | simplifying with (42), (53) gives:
% 22.33/3.72 | (70) all_31_0 = 160
% 22.33/3.72 |
% 22.33/3.72 | GROUND_INST: instantiating (23) with kiel, hamburg, berlin, 90, all_55_0,
% 22.33/3.72 | simplifying with (1), (2), (3), (26), (65) gives:
% 22.33/3.72 | (71) ? [v0: int] : ($lesseq(-90, $difference(v0, all_55_0)) & d(hamburg,
% 22.33/3.72 | berlin) = v0)
% 22.33/3.72 |
% 22.33/3.73 | GROUND_INST: instantiating (23) with kiel, berlin, frankfurt, all_55_0,
% 22.33/3.73 | all_37_0, simplifying with (1), (3), (5), (57), (65) gives:
% 22.33/3.73 | (72) ? [v0: int] : ($lesseq(all_37_0, $sum(v0, all_55_0)) & d(berlin,
% 22.33/3.73 | frankfurt) = v0)
% 22.33/3.73 |
% 22.33/3.73 | GROUND_INST: instantiating (23) with kiel, hamburg, frankfurt, 90, all_37_0,
% 22.33/3.73 | simplifying with (1), (2), (5), (26), (57) gives:
% 22.53/3.73 | (73) ? [v0: int] : ($lesseq(-90, $difference(v0, all_37_0)) & d(hamburg,
% 22.53/3.73 | frankfurt) = v0)
% 22.53/3.73 |
% 22.53/3.73 | GROUND_INST: instantiating (23) with berlin, kiel, frankfurt, all_19_0, 420,
% 22.53/3.73 | simplifying with (1), (3), (5), (13), (49) gives:
% 22.53/3.73 | (74) ? [v0: int] : ($lesseq(420, $sum(v0, all_19_0)) & d(kiel, frankfurt)
% 22.53/3.73 | = v0)
% 22.53/3.73 |
% 22.53/3.73 | GROUND_INST: instantiating (22) with berlin, kiel, all_19_0, simplifying with
% 22.53/3.73 | (1), (3), (49) gives:
% 22.53/3.73 | (75) d(kiel, berlin) = all_19_0
% 22.53/3.73 |
% 22.53/3.73 | GROUND_INST: instantiating (23) with berlin, hamburg, berlin, 250, all_58_0,
% 22.53/3.73 | simplifying with (2), (3), (30), (67) gives:
% 22.53/3.73 | (76) ? [v0: int] : ($lesseq(-250, $difference(v0, all_58_0)) & d(hamburg,
% 22.53/3.73 | berlin) = v0)
% 22.53/3.73 |
% 22.53/3.73 | GROUND_INST: instantiating (23) with berlin, kiel, berlin, all_19_0, all_58_0,
% 22.53/3.73 | simplifying with (1), (3), (49), (67) gives:
% 22.53/3.73 | (77) ? [v0: int] : ($lesseq(0, $sum($difference(v0, all_58_0), all_19_0))
% 22.53/3.73 | & d(kiel, berlin) = v0)
% 22.53/3.73 |
% 22.53/3.73 | GROUND_INST: instantiating (23) with cologne, kiel, frankfurt, all_13_0, 150,
% 22.53/3.73 | simplifying with (1), (4), (5), (15), (47) gives:
% 22.53/3.73 | (78) ? [v0: int] : ($lesseq(150, $sum(v0, all_13_0)) & d(kiel, frankfurt)
% 22.53/3.73 | = v0)
% 22.53/3.73 |
% 22.53/3.73 | GROUND_INST: instantiating (23) with cologne, kiel, berlin, all_13_0, 480,
% 22.53/3.73 | simplifying with (1), (3), (4), (38), (47) gives:
% 22.53/3.73 | (79) ? [v0: int] : ($lesseq(480, $sum(v0, all_13_0)) & d(kiel, berlin) =
% 22.53/3.73 | v0)
% 22.53/3.73 |
% 22.53/3.73 | GROUND_INST: instantiating (23) with cologne, berlin, saarbruecken, 480, 190,
% 22.53/3.73 | simplifying with (3), (4), (6), (38), (41) gives:
% 22.53/3.73 | (80) ? [v0: int] : ($lesseq(-290, v0) & d(berlin, saarbruecken) = v0)
% 22.53/3.73 |
% 22.53/3.73 | GROUND_INST: instantiating (23) with cologne, saarbruecken, berlin, 190, 480,
% 22.53/3.73 | simplifying with (3), (4), (6), (38), (41) gives:
% 22.53/3.73 | (81) ? [v0: int] : ($lesseq(290, v0) & d(saarbruecken, berlin) = v0)
% 22.53/3.73 |
% 22.53/3.73 | GROUND_INST: instantiating (23) with cologne, hamburg, saarbruecken, 360, 190,
% 22.53/3.73 | simplifying with (2), (4), (6), (33), (41) gives:
% 22.53/3.73 | (82) ? [v0: int] : ($lesseq(-170, v0) & d(hamburg, saarbruecken) = v0)
% 22.53/3.73 |
% 22.53/3.73 | GROUND_INST: instantiating (23) with cologne, kiel, saarbruecken, all_13_0,
% 22.53/3.73 | 190, simplifying with (1), (4), (6), (41), (47) gives:
% 22.53/3.73 | (83) ? [v0: int] : ($lesseq(190, $sum(v0, all_13_0)) & d(kiel,
% 22.53/3.73 | saarbruecken) = v0)
% 22.53/3.73 |
% 22.53/3.74 | GROUND_INST: instantiating (22) with frankfurt, kiel, all_34_0, simplifying
% 22.53/3.74 | with (1), (5), (55) gives:
% 22.53/3.74 | (84) d(kiel, frankfurt) = all_34_0
% 22.53/3.74 |
% 22.53/3.74 | GROUND_INST: instantiating (23) with frankfurt, kiel, berlin, all_34_0, 420,
% 22.53/3.74 | simplifying with (1), (3), (5), (39), (55) gives:
% 22.53/3.74 | (85) ? [v0: int] : ($lesseq(420, $sum(v0, all_34_0)) & d(kiel, berlin) =
% 22.53/3.74 | v0)
% 22.53/3.74 |
% 22.58/3.74 | GROUND_INST: instantiating (23) with frankfurt, berlin, frankfurt, 420,
% 22.58/3.74 | all_40_0, simplifying with (3), (5), (39), (59) gives:
% 22.58/3.74 | (86) ? [v0: int] : ($lesseq(-420, $difference(v0, all_40_0)) & d(berlin,
% 22.58/3.74 | frankfurt) = v0)
% 22.58/3.74 |
% 22.58/3.74 | GROUND_INST: instantiating (23) with frankfurt, hamburg, frankfurt, 390,
% 22.58/3.74 | all_40_0, simplifying with (2), (5), (37), (59) gives:
% 22.58/3.74 | (87) ? [v0: int] : ($lesseq(-390, $difference(v0, all_40_0)) & d(hamburg,
% 22.58/3.74 | frankfurt) = v0)
% 22.58/3.74 |
% 22.58/3.74 | GROUND_INST: instantiating (23) with frankfurt, kiel, frankfurt, all_34_0,
% 22.58/3.74 | all_40_0, simplifying with (1), (5), (55), (59) gives:
% 22.58/3.74 | (88) ? [v0: int] : ($lesseq(0, $sum($difference(v0, all_40_0), all_34_0))
% 22.58/3.74 | & d(kiel, frankfurt) = v0)
% 22.58/3.74 |
% 22.58/3.74 | GROUND_INST: instantiating (23) with frankfurt, berlin, saarbruecken, 420,
% 22.58/3.74 | 160, simplifying with (3), (5), (6), (39), (42) gives:
% 22.58/3.74 | (89) ? [v0: int] : ($lesseq(-260, v0) & d(berlin, saarbruecken) = v0)
% 22.58/3.74 |
% 22.58/3.74 | GROUND_INST: instantiating (23) with frankfurt, saarbruecken, berlin, 160,
% 22.58/3.74 | 420, simplifying with (3), (5), (6), (39), (42) gives:
% 22.58/3.74 | (90) ? [v0: int] : ($lesseq(260, v0) & d(saarbruecken, berlin) = v0)
% 22.58/3.74 |
% 22.58/3.74 | GROUND_INST: instantiating (23) with frankfurt, hamburg, saarbruecken, 390,
% 22.58/3.74 | 160, simplifying with (2), (5), (6), (37), (42) gives:
% 22.58/3.74 | (91) ? [v0: int] : ($lesseq(-230, v0) & d(hamburg, saarbruecken) = v0)
% 22.58/3.74 |
% 22.58/3.74 | GROUND_INST: instantiating (23) with frankfurt, kiel, saarbruecken, all_34_0,
% 22.58/3.74 | 160, simplifying with (1), (5), (6), (42), (55) gives:
% 22.58/3.74 | (92) ? [v0: int] : ($lesseq(160, $sum(v0, all_34_0)) & d(kiel,
% 22.58/3.74 | saarbruecken) = v0)
% 22.58/3.74 |
% 22.58/3.74 | GROUND_INST: instantiating (23) with saarbruecken, frankfurt, saarbruecken,
% 22.58/3.74 | 160, all_49_0, simplifying with (5), (6), (17), (63) gives:
% 22.58/3.74 | (93) ? [v0: int] : ($lesseq(-160, $difference(v0, all_49_0)) &
% 22.58/3.74 | d(frankfurt, saarbruecken) = v0)
% 22.58/3.74 |
% 22.58/3.74 | GROUND_INST: instantiating (23) with munich, saarbruecken, berlin, 360, 510,
% 22.58/3.74 | simplifying with (3), (6), (7), (19), (40) gives:
% 22.58/3.74 | (94) ? [v0: int] : ($lesseq(150, v0) & d(saarbruecken, berlin) = v0)
% 22.58/3.74 |
% 22.58/3.74 | GROUND_INST: instantiating (23) with munich, berlin, saarbruecken, 510, 360,
% 22.58/3.74 | simplifying with (3), (6), (7), (19), (40) gives:
% 22.58/3.74 | (95) ? [v0: int] : ($lesseq(-150, v0) & d(berlin, saarbruecken) = v0)
% 22.58/3.74 |
% 22.58/3.74 | DELTA: instantiating (73) with fresh symbol all_106_0 gives:
% 22.58/3.75 | (96) $lesseq(-90, $difference(all_106_0, all_37_0)) & d(hamburg, frankfurt)
% 22.58/3.75 | = all_106_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (96) implies:
% 22.58/3.75 | (97) d(hamburg, frankfurt) = all_106_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (72) with fresh symbol all_109_0 gives:
% 22.58/3.75 | (98) $lesseq(all_37_0, $sum(all_109_0, all_55_0)) & d(berlin, frankfurt) =
% 22.58/3.75 | all_109_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (98) implies:
% 22.58/3.75 | (99) d(berlin, frankfurt) = all_109_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (77) with fresh symbol all_124_0 gives:
% 22.58/3.75 | (100) $lesseq(0, $sum($difference(all_124_0, all_58_0), all_19_0)) &
% 22.58/3.75 | d(kiel, berlin) = all_124_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (100) implies:
% 22.58/3.75 | (101) d(kiel, berlin) = all_124_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (76) with fresh symbol all_127_0 gives:
% 22.58/3.75 | (102) $lesseq(-250, $difference(all_127_0, all_58_0)) & d(hamburg, berlin)
% 22.58/3.75 | = all_127_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (102) implies:
% 22.58/3.75 | (103) d(hamburg, berlin) = all_127_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (78) with fresh symbol all_154_0 gives:
% 22.58/3.75 | (104) $lesseq(150, $sum(all_154_0, all_13_0)) & d(kiel, frankfurt) =
% 22.58/3.75 | all_154_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (104) implies:
% 22.58/3.75 | (105) d(kiel, frankfurt) = all_154_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (94) with fresh symbol all_163_0 gives:
% 22.58/3.75 | (106) $lesseq(150, all_163_0) & d(saarbruecken, berlin) = all_163_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (106) implies:
% 22.58/3.75 | (107) d(saarbruecken, berlin) = all_163_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (90) with fresh symbol all_193_0 gives:
% 22.58/3.75 | (108) $lesseq(260, all_193_0) & d(saarbruecken, berlin) = all_193_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (108) implies:
% 22.58/3.75 | (109) d(saarbruecken, berlin) = all_193_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (89) with fresh symbol all_196_0 gives:
% 22.58/3.75 | (110) $lesseq(-260, all_196_0) & d(berlin, saarbruecken) = all_196_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (110) implies:
% 22.58/3.75 | (111) d(berlin, saarbruecken) = all_196_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (79) with fresh symbol all_199_0 gives:
% 22.58/3.75 | (112) $lesseq(480, $sum(all_199_0, all_13_0)) & d(kiel, berlin) = all_199_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (112) implies:
% 22.58/3.75 | (113) d(kiel, berlin) = all_199_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (91) with fresh symbol all_202_0 gives:
% 22.58/3.75 | (114) $lesseq(-230, all_202_0) & d(hamburg, saarbruecken) = all_202_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (114) implies:
% 22.58/3.75 | (115) d(hamburg, saarbruecken) = all_202_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (74) with fresh symbol all_208_0 gives:
% 22.58/3.75 | (116) $lesseq(420, $sum(all_208_0, all_19_0)) & d(kiel, frankfurt) =
% 22.58/3.75 | all_208_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (116) implies:
% 22.58/3.75 | (117) d(kiel, frankfurt) = all_208_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (95) with fresh symbol all_223_0 gives:
% 22.58/3.75 | (118) $lesseq(-150, all_223_0) & d(berlin, saarbruecken) = all_223_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (118) implies:
% 22.58/3.75 | (119) d(berlin, saarbruecken) = all_223_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (71) with fresh symbol all_232_0 gives:
% 22.58/3.75 | (120) $lesseq(-90, $difference(all_232_0, all_55_0)) & d(hamburg, berlin) =
% 22.58/3.75 | all_232_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (120) implies:
% 22.58/3.75 | (121) d(hamburg, berlin) = all_232_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (88) with fresh symbol all_262_0 gives:
% 22.58/3.75 | (122) $lesseq(0, $sum($difference(all_262_0, all_40_0), all_34_0)) &
% 22.58/3.75 | d(kiel, frankfurt) = all_262_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (122) implies:
% 22.58/3.75 | (123) d(kiel, frankfurt) = all_262_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (86) with fresh symbol all_265_0 gives:
% 22.58/3.75 | (124) $lesseq(-420, $difference(all_265_0, all_40_0)) & d(berlin,
% 22.58/3.75 | frankfurt) = all_265_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (124) implies:
% 22.58/3.75 | (125) d(berlin, frankfurt) = all_265_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (87) with fresh symbol all_277_0 gives:
% 22.58/3.75 | (126) $lesseq(-390, $difference(all_277_0, all_40_0)) & d(hamburg,
% 22.58/3.75 | frankfurt) = all_277_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (126) implies:
% 22.58/3.75 | (127) d(hamburg, frankfurt) = all_277_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (85) with fresh symbol all_283_0 gives:
% 22.58/3.75 | (128) $lesseq(420, $sum(all_283_0, all_34_0)) & d(kiel, berlin) = all_283_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (128) implies:
% 22.58/3.75 | (129) d(kiel, berlin) = all_283_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (83) with fresh symbol all_292_0 gives:
% 22.58/3.75 | (130) $lesseq(190, $sum(all_292_0, all_13_0)) & d(kiel, saarbruecken) =
% 22.58/3.75 | all_292_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (130) implies:
% 22.58/3.75 | (131) d(kiel, saarbruecken) = all_292_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (93) with fresh symbol all_325_0 gives:
% 22.58/3.75 | (132) $lesseq(-160, $difference(all_325_0, all_49_0)) & d(frankfurt,
% 22.58/3.75 | saarbruecken) = all_325_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (132) implies:
% 22.58/3.75 | (133) d(frankfurt, saarbruecken) = all_325_0
% 22.58/3.75 |
% 22.58/3.75 | DELTA: instantiating (92) with fresh symbol all_328_0 gives:
% 22.58/3.75 | (134) $lesseq(160, $sum(all_328_0, all_34_0)) & d(kiel, saarbruecken) =
% 22.58/3.75 | all_328_0
% 22.58/3.75 |
% 22.58/3.75 | ALPHA: (134) implies:
% 22.58/3.76 | (135) d(kiel, saarbruecken) = all_328_0
% 22.58/3.76 |
% 22.58/3.76 | DELTA: instantiating (81) with fresh symbol all_343_0 gives:
% 22.58/3.76 | (136) $lesseq(290, all_343_0) & d(saarbruecken, berlin) = all_343_0
% 22.58/3.76 |
% 22.58/3.76 | ALPHA: (136) implies:
% 22.58/3.76 | (137) d(saarbruecken, berlin) = all_343_0
% 22.58/3.76 |
% 22.58/3.76 | DELTA: instantiating (80) with fresh symbol all_355_0 gives:
% 22.58/3.76 | (138) $lesseq(-290, all_355_0) & d(berlin, saarbruecken) = all_355_0
% 22.58/3.76 |
% 22.58/3.76 | ALPHA: (138) implies:
% 22.58/3.76 | (139) d(berlin, saarbruecken) = all_355_0
% 22.58/3.76 |
% 22.58/3.76 | DELTA: instantiating (82) with fresh symbol all_361_0 gives:
% 22.58/3.76 | (140) $lesseq(-170, all_361_0) & d(hamburg, saarbruecken) = all_361_0
% 22.58/3.76 |
% 22.58/3.76 | ALPHA: (140) implies:
% 22.58/3.76 | (141) d(hamburg, saarbruecken) = all_361_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_55_0, all_199_0, berlin, kiel,
% 22.58/3.76 | simplifying with (65), (113) gives:
% 22.58/3.76 | (142) all_199_0 = all_55_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_19_0, all_199_0, berlin, kiel,
% 22.58/3.76 | simplifying with (75), (113) gives:
% 22.58/3.76 | (143) all_199_0 = all_19_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_199_0, all_283_0, berlin, kiel,
% 22.58/3.76 | simplifying with (113), (129) gives:
% 22.58/3.76 | (144) all_283_0 = all_199_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_124_0, all_283_0, berlin, kiel,
% 22.58/3.76 | simplifying with (101), (129) gives:
% 22.58/3.76 | (145) all_283_0 = all_124_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_37_0, all_154_0, frankfurt, kiel,
% 22.58/3.76 | simplifying with (57), (105) gives:
% 22.58/3.76 | (146) all_154_0 = all_37_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_154_0, all_208_0, frankfurt, kiel,
% 22.58/3.76 | simplifying with (105), (117) gives:
% 22.58/3.76 | (147) all_208_0 = all_154_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_208_0, all_262_0, frankfurt, kiel,
% 22.58/3.76 | simplifying with (117), (123) gives:
% 22.58/3.76 | (148) all_262_0 = all_208_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_34_0, all_262_0, frankfurt, kiel,
% 22.58/3.76 | simplifying with (84), (123) gives:
% 22.58/3.76 | (149) all_262_0 = all_34_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_292_0, all_328_0, saarbruecken, kiel,
% 22.58/3.76 | simplifying with (131), (135) gives:
% 22.58/3.76 | (150) all_328_0 = all_292_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with 250, all_232_0, berlin, hamburg,
% 22.58/3.76 | simplifying with (9), (121) gives:
% 22.58/3.76 | (151) all_232_0 = 250
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_127_0, all_232_0, berlin, hamburg,
% 22.58/3.76 | simplifying with (103), (121) gives:
% 22.58/3.76 | (152) all_232_0 = all_127_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with 390, all_277_0, frankfurt, hamburg,
% 22.58/3.76 | simplifying with (11), (127) gives:
% 22.58/3.76 | (153) all_277_0 = 390
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_106_0, all_277_0, frankfurt, hamburg,
% 22.58/3.76 | simplifying with (97), (127) gives:
% 22.58/3.76 | (154) all_277_0 = all_106_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_202_0, all_361_0, saarbruecken,
% 22.58/3.76 | hamburg, simplifying with (115), (141) gives:
% 22.58/3.76 | (155) all_361_0 = all_202_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with 420, all_265_0, frankfurt, berlin,
% 22.58/3.76 | simplifying with (13), (125) gives:
% 22.58/3.76 | (156) all_265_0 = 420
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_109_0, all_265_0, frankfurt, berlin,
% 22.58/3.76 | simplifying with (99), (125) gives:
% 22.58/3.76 | (157) all_265_0 = all_109_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_223_0, all_355_0, saarbruecken,
% 22.58/3.76 | berlin, simplifying with (119), (139) gives:
% 22.58/3.76 | (158) all_355_0 = all_223_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_196_0, all_355_0, saarbruecken,
% 22.58/3.76 | berlin, simplifying with (111), (139) gives:
% 22.58/3.76 | (159) all_355_0 = all_196_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with 160, all_325_0, saarbruecken, frankfurt,
% 22.58/3.76 | simplifying with (42), (133) gives:
% 22.58/3.76 | (160) all_325_0 = 160
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_193_0, all_343_0, berlin,
% 22.58/3.76 | saarbruecken, simplifying with (109), (137) gives:
% 22.58/3.76 | (161) all_343_0 = all_193_0
% 22.58/3.76 |
% 22.58/3.76 | GROUND_INST: instantiating (25) with all_163_0, all_343_0, berlin,
% 22.58/3.76 | saarbruecken, simplifying with (107), (137) gives:
% 22.58/3.77 | (162) all_343_0 = all_163_0
% 22.58/3.77 |
% 22.58/3.77 | COMBINE_EQS: (158), (159) imply:
% 22.58/3.77 | (163) all_223_0 = all_196_0
% 22.58/3.77 |
% 22.58/3.77 | COMBINE_EQS: (161), (162) imply:
% 22.58/3.77 | (164) all_193_0 = all_163_0
% 22.58/3.77 |
% 22.58/3.77 | SIMP: (164) implies:
% 22.58/3.77 | (165) all_193_0 = all_163_0
% 22.58/3.77 |
% 22.58/3.77 | COMBINE_EQS: (144), (145) imply:
% 22.58/3.77 | (166) all_199_0 = all_124_0
% 22.58/3.77 |
% 22.58/3.77 | SIMP: (166) implies:
% 22.58/3.77 | (167) all_199_0 = all_124_0
% 22.58/3.77 |
% 22.58/3.77 | COMBINE_EQS: (153), (154) imply:
% 22.58/3.77 | (168) all_106_0 = 390
% 22.58/3.77 |
% 22.58/3.77 | COMBINE_EQS: (156), (157) imply:
% 22.58/3.77 | (169) all_109_0 = 420
% 22.58/3.77 |
% 22.58/3.77 | COMBINE_EQS: (148), (149) imply:
% 22.58/3.77 | (170) all_208_0 = all_34_0
% 22.58/3.77 |
% 22.58/3.77 | SIMP: (170) implies:
% 22.58/3.77 | (171) all_208_0 = all_34_0
% 22.58/3.77 |
% 22.58/3.77 | COMBINE_EQS: (151), (152) imply:
% 22.58/3.77 | (172) all_127_0 = 250
% 22.58/3.77 |
% 22.58/3.77 | COMBINE_EQS: (147), (171) imply:
% 22.58/3.77 | (173) all_154_0 = all_34_0
% 22.58/3.77 |
% 22.58/3.77 | SIMP: (173) implies:
% 22.58/3.77 | (174) all_154_0 = all_34_0
% 22.58/3.77 |
% 22.58/3.77 | COMBINE_EQS: (142), (167) imply:
% 22.58/3.77 | (175) all_124_0 = all_55_0
% 22.58/3.77 |
% 22.58/3.77 | COMBINE_EQS: (143), (167) imply:
% 22.58/3.77 | (176) all_124_0 = all_19_0
% 22.58/3.77 |
% 22.58/3.77 | COMBINE_EQS: (146), (174) imply:
% 22.58/3.77 | (177) all_37_0 = all_34_0
% 22.58/3.77 |
% 22.58/3.77 | SIMP: (177) implies:
% 22.58/3.77 | (178) all_37_0 = all_34_0
% 22.58/3.77 |
% 22.58/3.77 | COMBINE_EQS: (175), (176) imply:
% 22.58/3.77 | (179) all_55_0 = all_19_0
% 22.58/3.77 |
% 22.58/3.77 | GROUND_INST: instantiating (23) with kiel, frankfurt, saarbruecken, all_34_0,
% 22.58/3.77 | all_292_0, simplifying with (1), (5), (6), (84), (131) gives:
% 22.58/3.77 | (180) ? [v0: int] : ($lesseq(0, $sum($difference(v0, all_292_0),
% 22.58/3.77 | all_34_0)) & d(frankfurt, saarbruecken) = v0)
% 22.58/3.77 |
% 22.58/3.77 | GROUND_INST: instantiating (23) with kiel, saarbruecken, berlin, all_292_0,
% 22.58/3.77 | all_19_0, simplifying with (1), (3), (6), (75), (131) gives:
% 22.58/3.77 | (181) ? [v0: int] : ($lesseq(all_19_0, $sum(v0, all_292_0)) &
% 22.58/3.77 | d(saarbruecken, berlin) = v0)
% 22.58/3.77 |
% 22.58/3.77 | GROUND_INST: instantiating (23) with hamburg, frankfurt, saarbruecken, 390,
% 22.58/3.77 | all_202_0, simplifying with (2), (5), (6), (11), (115) gives:
% 22.58/3.77 | (182) ? [v0: int] : ($lesseq(-390, $difference(v0, all_202_0)) &
% 22.58/3.77 | d(frankfurt, saarbruecken) = v0)
% 22.58/3.77 |
% 22.58/3.77 | GROUND_INST: instantiating (23) with hamburg, saarbruecken, berlin, all_202_0,
% 22.58/3.77 | 250, simplifying with (2), (3), (6), (9), (115) gives:
% 22.58/3.77 | (183) ? [v0: int] : ($lesseq(250, $sum(v0, all_202_0)) & d(saarbruecken,
% 22.58/3.77 | berlin) = v0)
% 22.58/3.77 |
% 22.58/3.78 | GROUND_INST: instantiating (23) with berlin, frankfurt, saarbruecken, 420,
% 22.58/3.78 | all_196_0, simplifying with (3), (5), (6), (13), (111) gives:
% 22.58/3.78 | (184) ? [v0: int] : ($lesseq(-420, $difference(v0, all_196_0)) &
% 22.58/3.78 | d(frankfurt, saarbruecken) = v0)
% 22.58/3.78 |
% 22.58/3.78 | GROUND_INST: instantiating (22) with berlin, saarbruecken, all_196_0,
% 22.58/3.78 | simplifying with (3), (6), (111) gives:
% 22.58/3.78 | (185) d(saarbruecken, berlin) = all_196_0
% 22.58/3.78 |
% 22.58/3.78 | GROUND_INST: instantiating (21) with berlin, all_163_0, simplifying with (3),
% 22.58/3.78 | (107) gives:
% 22.58/3.78 | (186) ~ ($lesseq(all_163_0, 600)) | ? [v0: int] : ($lesseq(v0, 2999999) &
% 22.58/3.78 | inh(berlin) = v0)
% 22.58/3.78 |
% 22.58/3.78 | DELTA: instantiating (184) with fresh symbol all_403_0 gives:
% 22.58/3.78 | (187) $lesseq(-420, $difference(all_403_0, all_196_0)) & d(frankfurt,
% 22.58/3.78 | saarbruecken) = all_403_0
% 22.58/3.78 |
% 22.58/3.78 | ALPHA: (187) implies:
% 22.58/3.78 | (188) $lesseq(-420, $difference(all_403_0, all_196_0))
% 22.58/3.78 | (189) d(frankfurt, saarbruecken) = all_403_0
% 22.58/3.78 |
% 22.58/3.78 | DELTA: instantiating (182) with fresh symbol all_412_0 gives:
% 22.58/3.78 | (190) $lesseq(-390, $difference(all_412_0, all_202_0)) & d(frankfurt,
% 22.58/3.78 | saarbruecken) = all_412_0
% 22.58/3.78 |
% 22.58/3.78 | ALPHA: (190) implies:
% 22.58/3.78 | (191) d(frankfurt, saarbruecken) = all_412_0
% 22.58/3.78 |
% 22.58/3.78 | DELTA: instantiating (183) with fresh symbol all_421_0 gives:
% 22.58/3.78 | (192) $lesseq(250, $sum(all_421_0, all_202_0)) & d(saarbruecken, berlin) =
% 22.58/3.78 | all_421_0
% 22.58/3.78 |
% 22.58/3.78 | ALPHA: (192) implies:
% 22.58/3.78 | (193) d(saarbruecken, berlin) = all_421_0
% 22.58/3.78 |
% 22.58/3.78 | DELTA: instantiating (181) with fresh symbol all_562_0 gives:
% 22.58/3.78 | (194) $lesseq(all_19_0, $sum(all_562_0, all_292_0)) & d(saarbruecken,
% 22.58/3.78 | berlin) = all_562_0
% 22.58/3.78 |
% 22.58/3.78 | ALPHA: (194) implies:
% 22.58/3.78 | (195) d(saarbruecken, berlin) = all_562_0
% 22.58/3.78 |
% 22.58/3.78 | DELTA: instantiating (180) with fresh symbol all_607_0 gives:
% 22.58/3.78 | (196) $lesseq(0, $sum($difference(all_607_0, all_292_0), all_34_0)) &
% 22.58/3.78 | d(frankfurt, saarbruecken) = all_607_0
% 22.58/3.78 |
% 22.58/3.78 | ALPHA: (196) implies:
% 22.58/3.78 | (197) d(frankfurt, saarbruecken) = all_607_0
% 22.58/3.78 |
% 22.58/3.78 | BETA: splitting (186) gives:
% 22.58/3.78 |
% 22.58/3.78 | Case 1:
% 22.58/3.78 | |
% 22.58/3.78 | | (198) $lesseq(601, all_163_0)
% 22.58/3.78 | |
% 22.58/3.78 | | GROUND_INST: instantiating (25) with 160, all_412_0, saarbruecken,
% 22.58/3.78 | | frankfurt, simplifying with (42), (191) gives:
% 22.58/3.78 | | (199) all_412_0 = 160
% 22.58/3.78 | |
% 22.58/3.78 | | GROUND_INST: instantiating (25) with all_412_0, all_607_0, saarbruecken,
% 22.58/3.78 | | frankfurt, simplifying with (191), (197) gives:
% 22.58/3.78 | | (200) all_607_0 = all_412_0
% 22.58/3.78 | |
% 22.58/3.78 | | GROUND_INST: instantiating (25) with all_403_0, all_607_0, saarbruecken,
% 22.58/3.78 | | frankfurt, simplifying with (189), (197) gives:
% 22.58/3.78 | | (201) all_607_0 = all_403_0
% 22.58/3.78 | |
% 22.58/3.78 | | GROUND_INST: instantiating (25) with all_163_0, all_421_0, berlin,
% 22.58/3.78 | | saarbruecken, simplifying with (107), (193) gives:
% 22.58/3.78 | | (202) all_421_0 = all_163_0
% 22.58/3.78 | |
% 22.58/3.78 | | GROUND_INST: instantiating (25) with all_421_0, all_562_0, berlin,
% 22.58/3.78 | | saarbruecken, simplifying with (193), (195) gives:
% 22.58/3.78 | | (203) all_562_0 = all_421_0
% 22.58/3.78 | |
% 22.58/3.78 | | GROUND_INST: instantiating (25) with all_196_0, all_562_0, berlin,
% 22.58/3.78 | | saarbruecken, simplifying with (185), (195) gives:
% 22.58/3.78 | | (204) all_562_0 = all_196_0
% 22.58/3.78 | |
% 22.58/3.78 | | COMBINE_EQS: (200), (201) imply:
% 22.58/3.78 | | (205) all_412_0 = all_403_0
% 22.58/3.78 | |
% 22.58/3.78 | | SIMP: (205) implies:
% 22.58/3.78 | | (206) all_412_0 = all_403_0
% 22.58/3.78 | |
% 22.58/3.78 | | COMBINE_EQS: (203), (204) imply:
% 22.58/3.78 | | (207) all_421_0 = all_196_0
% 22.58/3.78 | |
% 22.58/3.78 | | SIMP: (207) implies:
% 22.58/3.78 | | (208) all_421_0 = all_196_0
% 22.58/3.78 | |
% 22.58/3.78 | | COMBINE_EQS: (202), (208) imply:
% 22.58/3.78 | | (209) all_196_0 = all_163_0
% 22.58/3.78 | |
% 22.58/3.78 | | SIMP: (209) implies:
% 22.58/3.78 | | (210) all_196_0 = all_163_0
% 22.58/3.78 | |
% 22.58/3.78 | | COMBINE_EQS: (199), (206) imply:
% 22.58/3.78 | | (211) all_403_0 = 160
% 22.58/3.78 | |
% 22.58/3.78 | | SIMP: (211) implies:
% 22.58/3.78 | | (212) all_403_0 = 160
% 22.58/3.78 | |
% 22.58/3.78 | | REDUCE: (188), (210), (212) imply:
% 22.58/3.78 | | (213) $lesseq(all_163_0, 580)
% 22.58/3.78 | |
% 22.58/3.78 | | COMBINE_INEQS: (198), (213) imply:
% 22.58/3.79 | | (214) $false
% 22.58/3.79 | |
% 22.58/3.79 | | CLOSE: (214) is inconsistent.
% 22.58/3.79 | |
% 22.58/3.79 | Case 2:
% 22.58/3.79 | |
% 22.58/3.79 | | (215) ? [v0: int] : ($lesseq(v0, 2999999) & inh(berlin) = v0)
% 22.58/3.79 | |
% 22.58/3.79 | | DELTA: instantiating (215) with fresh symbol all_614_0 gives:
% 22.58/3.79 | | (216) $lesseq(all_614_0, 2999999) & inh(berlin) = all_614_0
% 22.58/3.79 | |
% 22.58/3.79 | | ALPHA: (216) implies:
% 22.58/3.79 | | (217) $lesseq(all_614_0, 2999999)
% 22.58/3.79 | | (218) inh(berlin) = all_614_0
% 22.58/3.79 | |
% 22.58/3.79 | | GROUND_INST: instantiating (24) with 3442675, all_614_0, berlin, simplifying
% 22.58/3.79 | | with (20), (218) gives:
% 22.58/3.79 | | (219) all_614_0 = 3442675
% 22.58/3.79 | |
% 22.58/3.79 | | REDUCE: (217), (219) imply:
% 22.58/3.79 | | (220) $false
% 22.58/3.79 | |
% 22.58/3.79 | | CLOSE: (220) is inconsistent.
% 22.58/3.79 | |
% 22.58/3.79 | End of split
% 22.58/3.79 |
% 22.58/3.79 End of proof
% 22.58/3.79 % SZS output end Proof for theBenchmark
% 22.58/3.79
% 22.58/3.79 3187ms
%------------------------------------------------------------------------------