TSTP Solution File: DAT066_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : DAT066_1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n032.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 22:19:05 EDT 2023
% Result : Theorem 6.10s 1.57s
% Output : Proof 8.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : DAT066_1 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.10 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Thu Aug 24 14:37:27 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.13/0.51 ________ _____
% 0.13/0.51 ___ __ \_________(_)________________________________
% 0.13/0.51 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.13/0.51 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.13/0.51 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.13/0.51
% 0.13/0.51 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.13/0.51 (2023-06-19)
% 0.13/0.51
% 0.13/0.51 (c) Philipp Rümmer, 2009-2023
% 0.13/0.51 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.13/0.51 Amanda Stjerna.
% 0.13/0.51 Free software under BSD-3-Clause.
% 0.13/0.51
% 0.13/0.51 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.13/0.51
% 0.13/0.51 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.13/0.52 Running up to 7 provers in parallel.
% 0.13/0.54 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.13/0.54 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.13/0.54 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.13/0.54 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.13/0.54 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.13/0.54 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.13/0.54 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.45/1.00 Prover 4: Preprocessing ...
% 2.45/1.01 Prover 1: Preprocessing ...
% 2.45/1.04 Prover 6: Preprocessing ...
% 2.45/1.04 Prover 0: Preprocessing ...
% 2.45/1.04 Prover 5: Preprocessing ...
% 2.45/1.04 Prover 2: Preprocessing ...
% 2.94/1.05 Prover 3: Preprocessing ...
% 5.01/1.36 Prover 6: Constructing countermodel ...
% 5.01/1.37 Prover 3: Constructing countermodel ...
% 5.01/1.37 Prover 1: Constructing countermodel ...
% 5.01/1.42 Prover 4: Constructing countermodel ...
% 5.01/1.42 Prover 5: Proving ...
% 5.01/1.48 Prover 0: Proving ...
% 5.01/1.50 Prover 2: Proving ...
% 6.10/1.57 Prover 3: proved (1030ms)
% 6.10/1.57
% 6.10/1.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.10/1.57
% 6.10/1.57 Prover 6: stopped
% 6.10/1.57 Prover 2: stopped
% 6.10/1.57 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.10/1.57 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.10/1.58 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.10/1.58 Prover 5: stopped
% 6.50/1.58 Prover 0: stopped
% 6.50/1.59 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.50/1.59 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 6.78/1.63 Prover 8: Preprocessing ...
% 6.78/1.66 Prover 10: Preprocessing ...
% 6.78/1.67 Prover 11: Preprocessing ...
% 6.78/1.67 Prover 7: Preprocessing ...
% 6.78/1.68 Prover 13: Preprocessing ...
% 6.78/1.68 Prover 4: Found proof (size 24)
% 6.78/1.68 Prover 4: proved (1139ms)
% 6.78/1.68 Prover 1: Found proof (size 24)
% 6.78/1.68 Prover 1: proved (1154ms)
% 6.78/1.69 Prover 10: stopped
% 6.78/1.71 Prover 7: stopped
% 7.38/1.72 Prover 11: stopped
% 7.38/1.73 Prover 13: stopped
% 7.38/1.75 Prover 8: Warning: ignoring some quantifiers
% 7.38/1.76 Prover 8: Constructing countermodel ...
% 7.38/1.77 Prover 8: stopped
% 7.38/1.77
% 7.38/1.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.38/1.77
% 7.38/1.77 % SZS output start Proof for theBenchmark
% 7.38/1.78 Assumptions after simplification:
% 7.38/1.78 ---------------------------------
% 7.38/1.78
% 7.38/1.78 (ax_2)
% 7.76/1.82 ! [v0: heap] : ! [v1: int] : ! [v2: int] : ! [v3: heap] : ! [v4: int] :
% 7.76/1.82 (v4 = v2 | ~ (app(v0, v2) = v3) | ~ (sel(v3, v1) = v4) | ~ heap(v0) | ?
% 7.76/1.82 [v5: int] : ( ~ ($difference(v5, v1) = -1) & length(v0) = v5))
% 7.76/1.82
% 7.76/1.82 (ax_26)
% 7.76/1.83 ! [v0: int] : ! [v1: heap] : ! [v2: heap] : ( ~ (app(v1, v0) = v2) | ~
% 7.76/1.83 heap(v1) | ? [v3: int] : (length(v2) = v3 & length(v1) = $sum(v3, -1)))
% 7.76/1.83
% 7.76/1.83 (ax_3)
% 7.76/1.83 ! [v0: int] : ! [v1: heap] : ! [v2: int] : ! [v3: heap] : ! [v4: int] : (
% 7.76/1.83 ~ (app(v1, v0) = v3) | ~ (sel(v3, v2) = v4) | ~ heap(v1) | ? [v5: int] :
% 7.76/1.83 ? [v6: int] : (length(v1) = v5 & sel(v1, v2) = v6 & (v6 = v4 |
% 7.76/1.83 $difference(v5, v2) = -1)))
% 7.76/1.83
% 7.76/1.83 (th_1)
% 7.76/1.83 ? [v0: int] : ? [v1: int] : ? [v2: heap] : ? [v3: heap] : ? [v4: int] : (
% 7.76/1.83 ~ (v4 = v0) & app(v2, v0) = v3 & length(v2) = $sum(v1, -1) & sel(v3, v1) =
% 7.76/1.83 v4 & heap(v3) & heap(v2))
% 7.76/1.83
% 7.76/1.83 (function-axioms)
% 7.76/1.84 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: heap] : !
% 7.76/1.84 [v3: heap] : (v1 = v0 | ~ (lsls(v3, v2) = v1) | ~ (lsls(v3, v2) = v0)) & !
% 7.76/1.84 [v0: heap] : ! [v1: heap] : ! [v2: int] : ! [v3: heap] : (v1 = v0 | ~
% 7.76/1.84 (app(v3, v2) = v1) | ~ (app(v3, v2) = v0)) & ! [v0: int] : ! [v1: int] :
% 7.76/1.84 ! [v2: int] : ! [v3: heap] : (v1 = v0 | ~ (sel(v3, v2) = v1) | ~ (sel(v3,
% 7.76/1.84 v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: heap] : (v1 = v0 | ~
% 7.76/1.84 (toop(v2) = v1) | ~ (toop(v2) = v0)) & ! [v0: heap] : ! [v1: heap] : !
% 7.76/1.84 [v2: heap] : (v1 = v0 | ~ (get(v2) = v1) | ~ (get(v2) = v0)) & ! [v0: int]
% 7.76/1.84 : ! [v1: int] : ! [v2: heap] : (v1 = v0 | ~ (length(v2) = v1) | ~
% 7.76/1.84 (length(v2) = v0))
% 7.76/1.84
% 7.76/1.84 Further assumptions not needed in the proof:
% 7.76/1.84 --------------------------------------------
% 7.76/1.84 ax_1, ax_20, ax_21, ax_22, ax_23, ax_24, ax_25, ax_27, ax_28, ax_29, ax_30
% 7.76/1.84
% 7.76/1.84 Those formulas are unsatisfiable:
% 7.76/1.84 ---------------------------------
% 7.76/1.84
% 7.76/1.84 Begin of proof
% 7.76/1.84 |
% 7.76/1.84 | ALPHA: (function-axioms) implies:
% 7.76/1.85 | (1) ! [v0: int] : ! [v1: int] : ! [v2: heap] : (v1 = v0 | ~ (length(v2)
% 7.76/1.85 | = v1) | ~ (length(v2) = v0))
% 7.76/1.85 |
% 7.76/1.85 | DELTA: instantiating (th_1) with fresh symbols all_19_0, all_19_1, all_19_2,
% 7.76/1.85 | all_19_3, all_19_4 gives:
% 7.76/1.85 | (2) ~ (all_19_0 = all_19_4) & app(all_19_2, all_19_4) = all_19_1 &
% 7.76/1.85 | length(all_19_2) = $sum(all_19_3, -1) & sel(all_19_1, all_19_3) =
% 7.76/1.85 | all_19_0 & heap(all_19_1) & heap(all_19_2)
% 7.76/1.85 |
% 7.76/1.85 | ALPHA: (2) implies:
% 7.76/1.85 | (3) ~ (all_19_0 = all_19_4)
% 7.76/1.85 | (4) heap(all_19_2)
% 7.76/1.85 | (5) sel(all_19_1, all_19_3) = all_19_0
% 7.76/1.85 | (6) length(all_19_2) = $sum(all_19_3, -1)
% 7.76/1.85 | (7) app(all_19_2, all_19_4) = all_19_1
% 7.76/1.85 |
% 7.76/1.86 | GROUND_INST: instantiating (ax_2) with all_19_2, all_19_3, all_19_4, all_19_1,
% 7.76/1.86 | all_19_0, simplifying with (4), (5), (7) gives:
% 7.76/1.86 | (8) all_19_0 = all_19_4 | ? [v0: int] : ( ~ ($difference(v0, all_19_3) =
% 7.76/1.86 | -1) & length(all_19_2) = v0)
% 7.76/1.86 |
% 7.76/1.86 | GROUND_INST: instantiating (ax_3) with all_19_4, all_19_2, all_19_3, all_19_1,
% 7.76/1.86 | all_19_0, simplifying with (4), (5), (7) gives:
% 7.76/1.86 | (9) ? [v0: int] : ? [v1: int] : (length(all_19_2) = v0 & sel(all_19_2,
% 7.76/1.86 | all_19_3) = v1 & (v1 = all_19_0 | $difference(v0, all_19_3) = -1))
% 7.76/1.86 |
% 7.76/1.86 | GROUND_INST: instantiating (ax_26) with all_19_4, all_19_2, all_19_1,
% 7.76/1.86 | simplifying with (4), (7) gives:
% 7.76/1.86 | (10) ? [v0: int] : (length(all_19_1) = v0 & length(all_19_2) = $sum(v0,
% 7.76/1.86 | -1))
% 7.76/1.86 |
% 7.76/1.86 | DELTA: instantiating (10) with fresh symbol all_27_0 gives:
% 7.76/1.86 | (11) length(all_19_1) = all_27_0 & length(all_19_2) = $sum(all_27_0, -1)
% 7.76/1.86 |
% 7.76/1.86 | ALPHA: (11) implies:
% 7.76/1.86 | (12) length(all_19_2) = $sum(all_27_0, -1)
% 7.76/1.86 |
% 7.76/1.86 | DELTA: instantiating (9) with fresh symbols all_29_0, all_29_1 gives:
% 7.76/1.87 | (13) length(all_19_2) = all_29_1 & sel(all_19_2, all_19_3) = all_29_0 &
% 7.76/1.87 | (all_29_0 = all_19_0 | $difference(all_29_1, all_19_3) = -1)
% 7.76/1.87 |
% 7.76/1.87 | ALPHA: (13) implies:
% 7.76/1.87 | (14) length(all_19_2) = all_29_1
% 7.76/1.87 |
% 7.76/1.87 | BETA: splitting (8) gives:
% 7.76/1.87 |
% 7.76/1.87 | Case 1:
% 7.76/1.87 | |
% 7.76/1.87 | | (15) all_19_0 = all_19_4
% 7.76/1.87 | |
% 7.76/1.87 | | REDUCE: (3), (15) imply:
% 7.76/1.87 | | (16) $false
% 7.76/1.87 | |
% 7.76/1.87 | | CLOSE: (16) is inconsistent.
% 7.76/1.87 | |
% 7.76/1.87 | Case 2:
% 7.76/1.87 | |
% 7.76/1.87 | | (17) ? [v0: int] : ( ~ ($difference(v0, all_19_3) = -1) &
% 7.76/1.87 | | length(all_19_2) = v0)
% 8.16/1.87 | |
% 8.16/1.87 | | DELTA: instantiating (17) with fresh symbol all_35_0 gives:
% 8.16/1.87 | | (18) ~ ($difference(all_35_0, all_19_3) = -1) & length(all_19_2) =
% 8.16/1.87 | | all_35_0
% 8.16/1.87 | |
% 8.16/1.87 | | ALPHA: (18) implies:
% 8.16/1.87 | | (19) ~ ($difference(all_35_0, all_19_3) = -1)
% 8.16/1.87 | | (20) length(all_19_2) = all_35_0
% 8.16/1.87 | |
% 8.16/1.88 | | GROUND_INST: instantiating (1) with $sum(all_19_3, -1), all_29_1, all_19_2,
% 8.16/1.88 | | simplifying with (6), (14) gives:
% 8.16/1.88 | | (21) $difference(all_29_1, all_19_3) = -1
% 8.16/1.88 | |
% 8.16/1.88 | | GROUND_INST: instantiating (1) with all_29_1, all_35_0, all_19_2,
% 8.16/1.88 | | simplifying with (14), (20) gives:
% 8.16/1.88 | | (22) all_35_0 = all_29_1
% 8.16/1.88 | |
% 8.16/1.88 | | GROUND_INST: instantiating (1) with $sum(all_27_0, -1), all_35_0, all_19_2,
% 8.16/1.88 | | simplifying with (12), (20) gives:
% 8.16/1.88 | | (23) $difference(all_35_0, all_27_0) = -1
% 8.16/1.88 | |
% 8.16/1.88 | | COMBINE_EQS: (22), (23) imply:
% 8.20/1.88 | | (24) $difference(all_29_1, all_27_0) = -1
% 8.20/1.88 | |
% 8.20/1.88 | | SIMP: (24) implies:
% 8.20/1.88 | | (25) $difference(all_29_1, all_27_0) = -1
% 8.20/1.88 | |
% 8.20/1.88 | | COMBINE_EQS: (21), (25) imply:
% 8.20/1.88 | | (26) all_27_0 = all_19_3
% 8.20/1.88 | |
% 8.20/1.88 | | COMBINE_EQS: (23), (26) imply:
% 8.20/1.88 | | (27) $difference(all_35_0, all_19_3) = -1
% 8.20/1.88 | |
% 8.20/1.88 | | REDUCE: (19), (27) imply:
% 8.20/1.88 | | (28) $false
% 8.20/1.88 | |
% 8.20/1.88 | | CLOSE: (28) is inconsistent.
% 8.20/1.88 | |
% 8.20/1.88 | End of split
% 8.20/1.88 |
% 8.20/1.88 End of proof
% 8.20/1.88 % SZS output end Proof for theBenchmark
% 8.20/1.88
% 8.20/1.88 1373ms
%------------------------------------------------------------------------------