%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR307_1 : TPTP v9.0.0. Released v9.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n015.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 : Tue Apr 1 01:53:41 AM UTC 2025 % Result : Theorem 11.50s 2.30s % Output : Proof 14.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : CSR307_1 : TPTP v9.0.0. Released v9.1.0. % 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n015.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Mon Mar 31 16:19:35 EDT 2025 % 0.13/0.34 % CPUTime : % 0.66/0.64 ________ _____ % 0.66/0.64 ___ __ \_________(_)________________________________ % 0.66/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.66/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.66/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.66/0.64 % 0.66/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.66/0.64 (2023-06-19) % 0.66/0.64 % 0.66/0.64 (c) Philipp Rümmer, 2009-2023 % 0.66/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.66/0.64 Amanda Stjerna. % 0.66/0.64 Free software under BSD-3-Clause. % 0.66/0.64 % 0.66/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.66/0.64 % 0.66/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.66/0.65 Running up to 7 provers in parallel. % 0.66/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.66/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.66/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.66/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.66/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.66/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.66/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.96/1.26 Prover 4: Preprocessing ... % 3.96/1.26 Prover 1: Preprocessing ... % 3.96/1.30 Prover 6: Preprocessing ... % 3.96/1.30 Prover 2: Preprocessing ... % 3.96/1.30 Prover 0: Preprocessing ... % 3.96/1.30 Prover 5: Preprocessing ... % 3.96/1.31 Prover 3: Preprocessing ... % 9.12/1.93 Prover 1: Constructing countermodel ... % 9.12/1.94 Prover 6: Proving ... % 9.12/1.95 Prover 3: Constructing countermodel ... % 9.12/1.98 Prover 5: Proving ... % 9.74/2.04 Prover 4: Constructing countermodel ... % 10.45/2.09 Prover 2: Proving ... % 10.69/2.12 Prover 0: Proving ... % 11.50/2.29 Prover 3: proved (1630ms) % 11.50/2.30 % 11.50/2.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 11.50/2.30 % 11.50/2.30 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.13/2.30 Prover 2: stopped % 12.13/2.30 Prover 5: stopped % 12.13/2.30 Prover 0: stopped % 12.13/2.30 Prover 6: stopped % 12.13/2.31 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.13/2.31 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.13/2.31 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.13/2.31 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.82/2.39 Prover 10: Preprocessing ... % 12.82/2.40 Prover 13: Preprocessing ... % 12.82/2.41 Prover 7: Preprocessing ... % 12.82/2.41 Prover 8: Preprocessing ... % 12.82/2.41 Prover 11: Preprocessing ... % 13.74/2.55 Prover 10: Warning: ignoring some quantifiers % 13.74/2.56 Prover 10: Constructing countermodel ... % 13.74/2.58 Prover 1: Found proof (size 28) % 13.74/2.58 Prover 1: proved (1922ms) % 13.74/2.58 Prover 4: stopped % 13.74/2.59 Prover 10: stopped % 13.74/2.59 Prover 7: Warning: ignoring some quantifiers % 13.74/2.59 Prover 13: Warning: ignoring some quantifiers % 14.44/2.60 Prover 13: Constructing countermodel ... % 14.44/2.60 Prover 8: Warning: ignoring some quantifiers % 14.44/2.61 Prover 7: Constructing countermodel ... % 14.44/2.61 Prover 8: Constructing countermodel ... % 14.44/2.61 Prover 13: stopped % 14.44/2.62 Prover 7: stopped % 14.44/2.62 Prover 8: stopped % 14.44/2.67 Prover 11: Constructing countermodel ... % 14.44/2.69 Prover 11: stopped % 14.44/2.69 % 14.44/2.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 14.44/2.69 % 14.93/2.69 % SZS output start Proof for theBenchmark % 14.93/2.69 Assumptions after simplification: % 14.93/2.69 --------------------------------- % 14.93/2.69 % 14.93/2.69 (keep_not_released) % 14.93/2.71 ! [v0: fluent] : ! [v1: int] : ! [v2: time] : ( ~ (releasedAt(v0, v2) = 0) % 14.93/2.71 | ~ (at_time($sum(v1, 1)) = v2) | ~ fluent(v0) | ? [v3: time] : ? [v4: % 14.93/2.71 any] : (releasedAt(v0, v3) = v4 & at_time(v1) = v3 & time(v3) & (v4 = 0 | % 14.93/2.71 ? [v5: event] : (releases(v5, v0, v3) = 0 & happens(v5, v3) = 0 & % 14.93/2.71 event(v5))))) % 14.93/2.71 % 14.93/2.71 (release_from_before) % 14.93/2.71 fluent(spilling) & ? [v0: int] : ? [v1: time] : ? [v2: time] : ? [v3: int] % 14.93/2.71 : ( ~ (v3 = 0) & releasedAt(spilling, v2) = v3 & releasedAt(spilling, v1) = 0 % 14.93/2.71 & at_time($sum(v0, 1)) = v1 & at_time(v0) = v2 & time(v2) & time(v1)) % 14.93/2.71 % 14.93/2.71 (releases_all_defn) % 14.93/2.71 event(tapOn) & ! [v0: event] : ! [v1: fluent] : ! [v2: int] : ! [v3: time] % 14.93/2.71 : ! [v4: int] : (v4 = 0 | ~ (releases(v0, v1, v3) = v4) | ~ (at_time(v2) = % 14.93/2.71 v3) | ~ event(v0) | ~ fluent(v1) | ! [v5: int] : ( ~ (v0 = tapOn) | ~ % 14.93/2.71 (waterLevel(v5) = v1))) & ! [v0: event] : ! [v1: fluent] : ! [v2: int] % 14.93/2.71 : ! [v3: time] : ( ~ (releases(v0, v1, v3) = 0) | ~ (at_time(v2) = v3) | ~ % 14.93/2.71 event(v0) | ~ fluent(v1) | ? [v4: int] : (v0 = tapOn & waterLevel(v4) = % 14.93/2.71 v1)) % 14.93/2.71 % 14.93/2.71 (spilling_not_waterLevel) % 14.93/2.71 fluent(spilling) & ! [v0: int] : ~ (waterLevel(v0) = spilling) % 14.93/2.71 % 14.93/2.71 (function-axioms) % 14.93/2.72 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: int] : ! % 14.93/2.72 [v3: fluent] : ! [v4: time] : ! [v5: fluent] : (v1 = v0 | ~ % 14.93/2.72 (antitrajectory(v5, v4, v3, v2) = v1) | ~ (antitrajectory(v5, v4, v3, v2) = % 14.93/2.72 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 14.93/2.72 int] : ! [v3: fluent] : ! [v4: time] : ! [v5: fluent] : (v1 = v0 | ~ % 14.93/2.72 (trajectory(v5, v4, v3, v2) = v1) | ~ (trajectory(v5, v4, v3, v2) = v0)) & % 14.93/2.72 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: time] : ! % 14.93/2.72 [v3: fluent] : ! [v4: event] : (v1 = v0 | ~ (releases(v4, v3, v2) = v1) | ~ % 14.93/2.72 (releases(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 14.93/2.72 MultipleValueBool] : ! [v2: time] : ! [v3: fluent] : ! [v4: time] : (v1 = % 14.93/2.72 v0 | ~ (startedIn(v4, v3, v2) = v1) | ~ (startedIn(v4, v3, v2) = v0)) & ! % 14.93/2.72 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: time] : ! [v3: % 14.93/2.72 fluent] : ! [v4: event] : (v1 = v0 | ~ (initiates(v4, v3, v2) = v1) | ~ % 14.93/2.72 (initiates(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 14.93/2.72 MultipleValueBool] : ! [v2: time] : ! [v3: fluent] : ! [v4: time] : (v1 = % 14.93/2.72 v0 | ~ (stoppedIn(v4, v3, v2) = v1) | ~ (stoppedIn(v4, v3, v2) = v0)) & ! % 14.93/2.72 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: time] : ! [v3: % 14.93/2.72 fluent] : ! [v4: event] : (v1 = v0 | ~ (terminates(v4, v3, v2) = v1) | ~ % 14.93/2.72 (terminates(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 14.93/2.72 MultipleValueBool] : ! [v2: time] : ! [v3: fluent] : (v1 = v0 | ~ % 14.93/2.72 (releasedAt(v3, v2) = v1) | ~ (releasedAt(v3, v2) = v0)) & ! [v0: % 14.93/2.72 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: time] : ! [v3: % 14.93/2.72 fluent] : (v1 = v0 | ~ (holdsAt(v3, v2) = v1) | ~ (holdsAt(v3, v2) = v0)) % 14.93/2.72 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: time] : ! % 14.93/2.72 [v3: event] : (v1 = v0 | ~ (happens(v3, v2) = v1) | ~ (happens(v3, v2) = % 14.93/2.72 v0)) & ! [v0: fluent] : ! [v1: fluent] : ! [v2: int] : (v1 = v0 | ~ % 14.93/2.72 (waterLevel(v2) = v1) | ~ (waterLevel(v2) = v0)) & ! [v0: time] : ! [v1: % 14.93/2.72 time] : ! [v2: int] : (v1 = v0 | ~ (at_time(v2) = v1) | ~ (at_time(v2) = % 14.93/2.72 v0)) % 14.93/2.72 % 14.93/2.72 Further assumptions not needed in the proof: % 14.93/2.72 -------------------------------------------- % 14.93/2.72 antitrajectory, change_holding, change_of_waterLevel, distinct_waterLevels, % 14.93/2.72 filling_not_spilling, filling_not_waterLevel, happens_all_defn, happens_holds, % 14.93/2.72 happens_not_released, happens_releases, happens_terminates_not_holds, % 14.93/2.72 initiates_all_defn, keep_holding, keep_not_holding, keep_released, % 14.93/2.72 not_filling_0, not_released_filling_0, not_released_spilling_0, % 14.93/2.72 not_released_waterLevel_0, not_spilling_0, same_waterLevel, startedin_defn, % 14.93/2.72 stoppedin_defn, tapOff_overflow, tapOn_overflow, tapOn_tapOff, % 14.93/2.72 terminates_all_defn, waterLevel_0 % 14.93/2.72 % 14.93/2.72 Those formulas are unsatisfiable: % 14.93/2.72 --------------------------------- % 14.93/2.72 % 14.93/2.72 Begin of proof % 14.93/2.72 | % 14.93/2.72 | ALPHA: (spilling_not_waterLevel) implies: % 14.93/2.73 | (1) ! [v0: int] : ~ (waterLevel(v0) = spilling) % 14.93/2.73 | % 14.93/2.73 | ALPHA: (releases_all_defn) implies: % 14.93/2.73 | (2) ! [v0: event] : ! [v1: fluent] : ! [v2: int] : ! [v3: time] : ( ~ % 14.93/2.73 | (releases(v0, v1, v3) = 0) | ~ (at_time(v2) = v3) | ~ event(v0) | % 14.93/2.73 | ~ fluent(v1) | ? [v4: int] : (v0 = tapOn & waterLevel(v4) = v1)) % 14.93/2.73 | % 14.93/2.73 | ALPHA: (release_from_before) implies: % 14.93/2.73 | (3) fluent(spilling) % 14.93/2.73 | (4) ? [v0: int] : ? [v1: time] : ? [v2: time] : ? [v3: int] : ( ~ (v3 = % 14.93/2.73 | 0) & releasedAt(spilling, v2) = v3 & releasedAt(spilling, v1) = 0 & % 14.93/2.73 | at_time($sum(v0, 1)) = v1 & at_time(v0) = v2 & time(v2) & time(v1)) % 14.93/2.73 | % 14.93/2.73 | ALPHA: (function-axioms) implies: % 14.93/2.73 | (5) ! [v0: time] : ! [v1: time] : ! [v2: int] : (v1 = v0 | ~ % 14.93/2.73 | (at_time(v2) = v1) | ~ (at_time(v2) = v0)) % 14.93/2.73 | (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: time] % 14.93/2.73 | : ! [v3: fluent] : (v1 = v0 | ~ (releasedAt(v3, v2) = v1) | ~ % 14.93/2.73 | (releasedAt(v3, v2) = v0)) % 14.93/2.73 | % 14.93/2.73 | DELTA: instantiating (4) with fresh symbols all_43_0, all_43_1, all_43_2, % 14.93/2.73 | all_43_3 gives: % 14.93/2.73 | (7) ~ (all_43_0 = 0) & releasedAt(spilling, all_43_1) = all_43_0 & % 14.93/2.73 | releasedAt(spilling, all_43_2) = 0 & at_time($sum(all_43_3, 1)) = % 14.93/2.73 | all_43_2 & at_time(all_43_3) = all_43_1 & time(all_43_1) & % 14.93/2.73 | time(all_43_2) % 14.93/2.73 | % 14.93/2.73 | ALPHA: (7) implies: % 14.93/2.73 | (8) ~ (all_43_0 = 0) % 14.93/2.73 | (9) at_time(all_43_3) = all_43_1 % 14.93/2.73 | (10) at_time($sum(all_43_3, 1)) = all_43_2 % 14.93/2.73 | (11) releasedAt(spilling, all_43_2) = 0 % 14.93/2.73 | (12) releasedAt(spilling, all_43_1) = all_43_0 % 14.93/2.73 | % 14.93/2.73 | GROUND_INST: instantiating (keep_not_released) with spilling, all_43_3, % 14.93/2.73 | all_43_2, simplifying with (3), (10), (11) gives: % 14.93/2.73 | (13) ? [v0: time] : ? [v1: any] : (releasedAt(spilling, v0) = v1 & % 14.93/2.73 | at_time(all_43_3) = v0 & time(v0) & (v1 = 0 | ? [v2: event] : % 14.93/2.73 | (releases(v2, spilling, v0) = 0 & happens(v2, v0) = 0 & % 14.93/2.73 | event(v2)))) % 14.93/2.73 | % 14.93/2.73 | DELTA: instantiating (13) with fresh symbols all_61_0, all_61_1 gives: % 14.93/2.74 | (14) releasedAt(spilling, all_61_1) = all_61_0 & at_time(all_43_3) = % 14.93/2.74 | all_61_1 & time(all_61_1) & (all_61_0 = 0 | ? [v0: event] : % 14.93/2.74 | (releases(v0, spilling, all_61_1) = 0 & happens(v0, all_61_1) = 0 & % 14.93/2.74 | event(v0))) % 14.93/2.74 | % 14.93/2.74 | ALPHA: (14) implies: % 14.93/2.74 | (15) at_time(all_43_3) = all_61_1 % 14.93/2.74 | (16) releasedAt(spilling, all_61_1) = all_61_0 % 14.93/2.74 | (17) all_61_0 = 0 | ? [v0: event] : (releases(v0, spilling, all_61_1) = 0 % 14.93/2.74 | & happens(v0, all_61_1) = 0 & event(v0)) % 14.93/2.74 | % 14.93/2.74 | GROUND_INST: instantiating (5) with all_43_1, all_61_1, all_43_3, simplifying % 14.93/2.74 | with (9), (15) gives: % 14.93/2.74 | (18) all_61_1 = all_43_1 % 14.93/2.74 | % 14.93/2.74 | REDUCE: (16), (18) imply: % 14.93/2.74 | (19) releasedAt(spilling, all_43_1) = all_61_0 % 14.93/2.74 | % 14.93/2.74 | GROUND_INST: instantiating (6) with all_43_0, all_61_0, all_43_1, spilling, % 14.93/2.74 | simplifying with (12), (19) gives: % 14.93/2.74 | (20) all_61_0 = all_43_0 % 14.93/2.74 | % 14.93/2.74 | BETA: splitting (17) gives: % 14.93/2.74 | % 14.93/2.74 | Case 1: % 14.93/2.74 | | % 14.93/2.74 | | (21) all_61_0 = 0 % 14.93/2.74 | | % 14.93/2.74 | | COMBINE_EQS: (20), (21) imply: % 14.93/2.74 | | (22) all_43_0 = 0 % 14.93/2.74 | | % 14.93/2.74 | | SIMP: (22) implies: % 14.93/2.74 | | (23) all_43_0 = 0 % 14.93/2.74 | | % 14.93/2.74 | | REDUCE: (8), (23) imply: % 14.93/2.74 | | (24) $false % 14.93/2.74 | | % 14.93/2.74 | | CLOSE: (24) is inconsistent. % 14.93/2.74 | | % 14.93/2.74 | Case 2: % 14.93/2.74 | | % 14.93/2.74 | | (25) ? [v0: event] : (releases(v0, spilling, all_61_1) = 0 & happens(v0, % 14.93/2.74 | | all_61_1) = 0 & event(v0)) % 14.93/2.74 | | % 14.93/2.74 | | DELTA: instantiating (25) with fresh symbol all_121_0 gives: % 14.93/2.74 | | (26) releases(all_121_0, spilling, all_61_1) = 0 & happens(all_121_0, % 14.93/2.74 | | all_61_1) = 0 & event(all_121_0) % 14.93/2.74 | | % 14.93/2.74 | | ALPHA: (26) implies: % 14.93/2.74 | | (27) event(all_121_0) % 14.93/2.74 | | (28) releases(all_121_0, spilling, all_61_1) = 0 % 14.93/2.74 | | % 14.93/2.74 | | REDUCE: (18), (28) imply: % 14.93/2.74 | | (29) releases(all_121_0, spilling, all_43_1) = 0 % 14.93/2.74 | | % 14.93/2.74 | | GROUND_INST: instantiating (2) with all_121_0, spilling, all_43_3, all_43_1, % 14.93/2.74 | | simplifying with (3), (9), (27), (29) gives: % 14.93/2.74 | | (30) ? [v0: int] : (all_121_0 = tapOn & waterLevel(v0) = spilling) % 14.93/2.74 | | % 14.93/2.74 | | DELTA: instantiating (30) with fresh symbol all_128_0 gives: % 14.93/2.74 | | (31) all_121_0 = tapOn & waterLevel(all_128_0) = spilling % 14.93/2.74 | | % 14.93/2.74 | | ALPHA: (31) implies: % 14.93/2.74 | | (32) waterLevel(all_128_0) = spilling % 14.93/2.74 | | % 14.93/2.74 | | GROUND_INST: instantiating (1) with all_128_0, simplifying with (32) gives: % 14.93/2.74 | | (33) $false % 14.93/2.74 | | % 14.93/2.74 | | CLOSE: (33) is inconsistent. % 14.93/2.74 | | % 14.93/2.74 | End of split % 14.93/2.74 | % 14.93/2.74 End of proof % 14.93/2.74 % SZS output end Proof for theBenchmark % 14.93/2.74 % 14.93/2.74 2102ms %------------------------------------------------------------------------------