%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MED002+1 : TPTP v8.1.2. Released v3.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n002.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 09:06:25 EDT 2023 % Result : Theorem 19.96s 3.39s % Output : Proof 20.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.14 % Problem : MED002+1 : TPTP v8.1.2. Released v3.2.0. % 0.09/0.15 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.15/0.36 % Computer : n002.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Fri Aug 25 07:51:02 EDT 2023 % 0.15/0.36 % CPUTime : % 0.21/0.61 ________ _____ % 0.21/0.61 ___ __ \_________(_)________________________________ % 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.61 % 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.61 (2023-06-19) % 0.21/0.61 % 0.21/0.61 (c) Philipp Rümmer, 2009-2023 % 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.61 Amanda Stjerna. % 0.21/0.61 Free software under BSD-3-Clause. % 0.21/0.61 % 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.61 % 0.21/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.63 Running up to 7 provers in parallel. % 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.06/1.10 Prover 1: Preprocessing ... % 3.25/1.11 Prover 4: Preprocessing ... % 3.36/1.12 Prover 0: Preprocessing ... % 3.36/1.12 Prover 5: Preprocessing ... % 3.36/1.13 Prover 3: Preprocessing ... % 3.36/1.13 Prover 2: Preprocessing ... % 3.36/1.14 Prover 6: Preprocessing ... % 5.02/1.42 Prover 5: Proving ... % 5.02/1.44 Prover 2: Proving ... % 5.88/1.50 Prover 1: Warning: ignoring some quantifiers % 6.27/1.54 Prover 3: Warning: ignoring some quantifiers % 6.27/1.55 Prover 1: Constructing countermodel ... % 6.43/1.57 Prover 3: Constructing countermodel ... % 6.43/1.58 Prover 6: Proving ... % 7.28/1.66 Prover 4: Warning: ignoring some quantifiers % 7.28/1.70 Prover 4: Constructing countermodel ... % 7.28/1.70 Prover 0: Proving ... % 8.50/1.87 Prover 3: gave up % 8.50/1.88 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.82/1.95 Prover 7: Preprocessing ... % 9.90/2.03 Prover 7: Warning: ignoring some quantifiers % 10.06/2.06 Prover 7: Constructing countermodel ... % 10.06/2.06 Prover 1: gave up % 10.06/2.07 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.06/2.10 Prover 8: Preprocessing ... % 11.61/2.25 Prover 7: gave up % 11.61/2.25 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 11.61/2.26 Prover 8: Warning: ignoring some quantifiers % 11.61/2.28 Prover 8: Constructing countermodel ... % 11.83/2.30 Prover 9: Preprocessing ... % 12.88/2.43 Prover 8: gave up % 12.88/2.44 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.88/2.51 Prover 9: Warning: ignoring some quantifiers % 12.88/2.51 Prover 10: Preprocessing ... % 12.88/2.51 Prover 9: Constructing countermodel ... % 13.42/2.54 Prover 10: Warning: ignoring some quantifiers % 13.42/2.56 Prover 10: Constructing countermodel ... % 13.42/2.60 Prover 10: gave up % 13.42/2.60 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 14.36/2.62 Prover 11: Preprocessing ... % 14.59/2.66 Prover 9: gave up % 14.59/2.68 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 14.59/2.71 Prover 12: Preprocessing ... % 15.60/2.81 Prover 11: Warning: ignoring some quantifiers % 15.60/2.82 Prover 12: Proving ... % 15.60/2.83 Prover 11: Constructing countermodel ... % 19.96/3.39 Prover 4: Found proof (size 252) % 19.96/3.39 Prover 4: proved (2750ms) % 19.96/3.39 Prover 5: stopped % 19.96/3.39 Prover 6: stopped % 19.96/3.39 Prover 11: stopped % 19.96/3.39 Prover 12: stopped % 19.96/3.39 Prover 0: stopped % 19.96/3.39 Prover 2: stopped % 19.96/3.39 % 19.96/3.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 19.96/3.39 % 19.96/3.40 % SZS output start Proof for theBenchmark % 19.96/3.40 Assumptions after simplification: % 19.96/3.40 --------------------------------- % 19.96/3.40 % 19.96/3.40 (biguanide_effect) % 19.96/3.43 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (gt(v0, v1) = v2) | ~ % 19.96/3.43 $i(v1) | ~ $i(v0) | ? [v3: int] : ? [v4: $i] : ? [v5: int] : ? [v6: % 19.96/3.43 int] : ($i(v4) & (( ~ (v6 = 0) & ~ (v5 = 0) & drugbg(v4) = v6 & gt(v0, % 19.96/3.43 v4) = v5) | ( ~ (v3 = 0) & releaselg(v1) = v3)))) & ? [v0: $i] : ! % 19.96/3.43 [v1: $i] : ( ~ (releaselg(v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ? % 19.96/3.43 [v3: $i] : ? [v4: int] : ? [v5: int] : ($i(v3) & ((v2 = 0 & gt(v0, v1) = % 19.96/3.43 0) | ( ~ (v5 = 0) & ~ (v4 = 0) & drugbg(v3) = v5 & gt(v0, v3) = % 19.96/3.43 v4)))) % 19.96/3.43 % 19.96/3.43 (ne_cure) % 19.96/3.44 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (conditionnormo(v1) = % 19.96/3.44 v2) | ~ (bcapacityne(v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ? % 19.96/3.44 [v4: $i] : ? [v5: int] : ? [v6: int] : ? [v7: $i] : ? [v8: int] : ? % 19.96/3.44 [v9: int] : ? [v10: $i] : ? [v11: int] : ? [v12: int] : ($i(v10) & $i(v7) % 19.96/3.44 & $i(v4) & ((v12 = 0 & ~ (v11 = 0) & releaselg(v10) = 0 & gt(v0, v10) = % 19.96/3.44 v11) | (v5 = 0 & ~ (v6 = 0) & conditionhyper(v4) = v6 & gt(v0, v4) = % 19.96/3.44 0) | (v3 = 0 & gt(v0, v1) = 0) | ( ~ (v9 = 0) & ~ (v8 = 0) & % 19.96/3.44 bsecretioni(v7) = v9 & gt(v0, v7) = v8)))) & ! [v0: $i] : ! [v1: $i] % 19.96/3.44 : ! [v2: int] : (v2 = 0 | ~ (conditionnormo(v1) = v2) | ~ (bcapacityne(v0) % 19.96/3.44 = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ? [v4: $i] : ? [v5: int] : % 19.96/3.44 ? [v6: int] : ? [v7: $i] : ? [v8: int] : ? [v9: int] : ? [v10: $i] : ? % 19.96/3.44 [v11: int] : ? [v12: int] : ($i(v10) & $i(v7) & $i(v4) & ((v5 = 0 & ~ (v6 % 19.96/3.44 = 0) & conditionhyper(v4) = v6 & gt(v0, v4) = 0) | (v3 = 0 & gt(v0, % 19.96/3.44 v1) = 0) | ( ~ (v12 = 0) & ~ (v11 = 0) & uptakepg(v10) = v12 & % 19.96/3.44 gt(v0, v10) = v11) | ( ~ (v9 = 0) & ~ (v8 = 0) & bsecretioni(v7) = v9 % 19.96/3.44 & gt(v0, v7) = v8)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 % 19.96/3.44 = 0 | ~ (bcapacityne(v0) = 0) | ~ (gt(v0, v1) = v2) | ~ $i(v1) | ~ % 19.96/3.44 $i(v0) | ? [v3: int] : ? [v4: $i] : ? [v5: int] : ? [v6: int] : ? [v7: % 19.96/3.44 $i] : ? [v8: int] : ? [v9: int] : ? [v10: $i] : ? [v11: int] : ? % 19.96/3.44 [v12: int] : ($i(v10) & $i(v7) & $i(v4) & ((v12 = 0 & ~ (v11 = 0) & % 19.96/3.44 releaselg(v10) = 0 & gt(v0, v10) = v11) | (v5 = 0 & ~ (v6 = 0) & % 19.96/3.44 conditionhyper(v4) = v6 & gt(v0, v4) = 0) | (v3 = 0 & % 19.96/3.44 conditionnormo(v1) = 0) | ( ~ (v9 = 0) & ~ (v8 = 0) & bsecretioni(v7) % 19.96/3.44 = v9 & gt(v0, v7) = v8)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] % 19.96/3.44 : (v2 = 0 | ~ (bcapacityne(v0) = 0) | ~ (gt(v0, v1) = v2) | ~ $i(v1) | ~ % 19.96/3.44 $i(v0) | ? [v3: int] : ? [v4: $i] : ? [v5: int] : ? [v6: int] : ? [v7: % 19.96/3.44 $i] : ? [v8: int] : ? [v9: int] : ? [v10: $i] : ? [v11: int] : ? % 19.96/3.44 [v12: int] : ($i(v10) & $i(v7) & $i(v4) & ((v5 = 0 & ~ (v6 = 0) & % 19.96/3.44 conditionhyper(v4) = v6 & gt(v0, v4) = 0) | (v3 = 0 & % 19.96/3.44 conditionnormo(v1) = 0) | ( ~ (v12 = 0) & ~ (v11 = 0) & uptakepg(v10) % 19.96/3.44 = v12 & gt(v0, v10) = v11) | ( ~ (v9 = 0) & ~ (v8 = 0) & % 19.96/3.44 bsecretioni(v7) = v9 & gt(v0, v7) = v8)))) % 19.96/3.44 % 19.96/3.44 (sulfonylurea_effect) % 20.53/3.45 ! [v0: $i] : ! [v1: int] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | v1 = 0 | % 20.53/3.45 ~ (bsecretioni(v2) = v3) | ~ (bcapacityex(v0) = v1) | ~ $i(v2) | ~ $i(v0) % 20.53/3.45 | ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ($i(v5) & ((v4 % 20.53/3.45 = 0 & gt(v0, v2) = 0) | ( ~ (v7 = 0) & ~ (v6 = 0) & drugsu(v5) = v7 & % 20.53/3.45 gt(v0, v5) = v6)))) & ! [v0: $i] : ! [v1: int] : ! [v2: $i] : ! % 20.53/3.45 [v3: int] : (v3 = 0 | v1 = 0 | ~ (bcapacityex(v0) = v1) | ~ (gt(v0, v2) = % 20.53/3.45 v3) | ~ $i(v2) | ~ $i(v0) | ? [v4: int] : ? [v5: $i] : ? [v6: int] : % 20.53/3.45 ? [v7: int] : ($i(v5) & ((v4 = 0 & bsecretioni(v2) = 0) | ( ~ (v7 = 0) & ~ % 20.53/3.45 (v6 = 0) & drugsu(v5) = v7 & gt(v0, v5) = v6)))) % 20.53/3.45 % 20.53/3.45 (treatmentne) % 20.53/3.45 $i(n0) & ? [v0: $i] : ? [v1: int] : ? [v2: int] : ( ~ (v2 = 0) & ~ (v1 = % 20.53/3.45 0) & conditionnormo(v0) = v2 & bcapacityne(n0) = 0 & gt(n0, v0) = v1 & % 20.53/3.45 $i(v0) & ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (conditionhyper(v3) = v4) % 20.53/3.45 | ~ $i(v3) | ? [v5: int] : ( ~ (v5 = 0) & gt(n0, v3) = v5)) & ! [v3: % 20.53/3.45 $i] : ! [v4: int] : (v4 = 0 | ~ (gt(n0, v3) = v4) | ~ $i(v3) | % 20.53/3.45 (drugbg(v3) = 0 & drugsu(v3) = 0)) & ! [v3: $i] : ! [v4: any] : ( ~ % 20.53/3.45 (drugbg(v3) = v4) | ~ $i(v3) | ? [v5: any] : ? [v6: any] : (drugsu(v3) % 20.53/3.45 = v6 & gt(n0, v3) = v5 & (v5 = 0 | (v6 = 0 & v4 = 0)))) & ! [v3: $i] : % 20.53/3.45 ! [v4: any] : ( ~ (drugsu(v3) = v4) | ~ $i(v3) | ? [v5: any] : ? [v6: % 20.53/3.45 any] : (drugbg(v3) = v6 & gt(n0, v3) = v5 & (v5 = 0 | (v6 = 0 & v4 = % 20.53/3.45 0)))) & ! [v3: $i] : ( ~ (gt(n0, v3) = 0) | ~ $i(v3) | % 20.53/3.45 conditionhyper(v3) = 0)) % 20.53/3.45 % 20.53/3.45 (xorcapacity2) % 20.53/3.45 ! [v0: $i] : ( ~ (bcapacityne(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = % 20.53/3.45 0) & bcapacityex(v0) = v1)) & ! [v0: $i] : ( ~ (bcapacityex(v0) = 0) | % 20.53/3.45 ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & bcapacityne(v0) = v1)) % 20.53/3.45 % 20.53/3.45 (function-axioms) % 20.53/3.45 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 20.53/3.45 [v3: $i] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0: % 20.53/3.45 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 20.53/3.45 ~ (qilt27(v2) = v1) | ~ (qilt27(v2) = v0)) & ! [v0: MultipleValueBool] : % 20.53/3.45 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (drugbg(v2) = v1) | ~ % 20.53/3.45 (drugbg(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 20.53/3.45 : ! [v2: $i] : (v1 = v0 | ~ (bsecretioni(v2) = v1) | ~ (bsecretioni(v2) = % 20.53/3.45 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 20.53/3.45 $i] : (v1 = v0 | ~ (drugsu(v2) = v1) | ~ (drugsu(v2) = v0)) & ! [v0: % 20.53/3.45 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 20.53/3.45 ~ (releaselg(v2) = v1) | ~ (releaselg(v2) = v0)) & ! [v0: % 20.53/3.45 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 20.53/3.45 ~ (uptakelg(v2) = v1) | ~ (uptakelg(v2) = v0)) & ! [v0: MultipleValueBool] % 20.53/3.45 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (uptakepg(v2) = v1) % 20.53/3.45 | ~ (uptakepg(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.53/3.45 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (drugi(v2) = v1) | ~ % 20.53/3.45 (drugi(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 20.53/3.45 : ! [v2: $i] : (v1 = v0 | ~ (conditionnormo(v2) = v1) | ~ % 20.53/3.45 (conditionnormo(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.53/3.45 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (conditionhyper(v2) = v1) | % 20.53/3.45 ~ (conditionhyper(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.53/3.45 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (conditionhypo(v2) = v1) | % 20.53/3.45 ~ (conditionhypo(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.53/3.45 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (bcapacitysn(v2) = v1) | ~ % 20.53/3.45 (bcapacitysn(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.53/3.45 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (bcapacityne(v2) = v1) | ~ % 20.53/3.45 (bcapacityne(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.53/3.45 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (bcapacityex(v2) = v1) | ~ % 20.53/3.45 (bcapacityex(v2) = v0)) % 20.53/3.45 % 20.53/3.45 Further assumptions not needed in the proof: % 20.53/3.45 -------------------------------------------- % 20.53/3.45 ex_cure, insulin_effect, irreflexivity_gt, liver_glucose, sn_cure_1, sn_cure_2, % 20.53/3.45 transitivity_gt, xorcapacity1, xorcapacity3, xorcapacity4, xorcondition1, % 20.53/3.45 xorcondition2, xorcondition3, xorcondition4 % 20.53/3.45 % 20.53/3.45 Those formulas are unsatisfiable: % 20.53/3.45 --------------------------------- % 20.53/3.45 % 20.53/3.45 Begin of proof % 20.53/3.46 | % 20.53/3.46 | ALPHA: (xorcapacity2) implies: % 20.53/3.46 | (1) ! [v0: $i] : ( ~ (bcapacityne(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( % 20.53/3.46 | ~ (v1 = 0) & bcapacityex(v0) = v1)) % 20.53/3.46 | % 20.53/3.46 | ALPHA: (sulfonylurea_effect) implies: % 20.53/3.46 | (2) ! [v0: $i] : ! [v1: int] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | v1 % 20.53/3.46 | = 0 | ~ (bcapacityex(v0) = v1) | ~ (gt(v0, v2) = v3) | ~ $i(v2) | % 20.53/3.46 | ~ $i(v0) | ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : % 20.53/3.46 | ($i(v5) & ((v4 = 0 & bsecretioni(v2) = 0) | ( ~ (v7 = 0) & ~ (v6 = % 20.53/3.46 | 0) & drugsu(v5) = v7 & gt(v0, v5) = v6)))) % 20.53/3.46 | (3) ! [v0: $i] : ! [v1: int] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | v1 % 20.53/3.46 | = 0 | ~ (bsecretioni(v2) = v3) | ~ (bcapacityex(v0) = v1) | ~ % 20.53/3.46 | $i(v2) | ~ $i(v0) | ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? % 20.53/3.46 | [v7: int] : ($i(v5) & ((v4 = 0 & gt(v0, v2) = 0) | ( ~ (v7 = 0) & ~ % 20.53/3.46 | (v6 = 0) & drugsu(v5) = v7 & gt(v0, v5) = v6)))) % 20.53/3.46 | % 20.53/3.46 | ALPHA: (biguanide_effect) implies: % 20.53/3.46 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (gt(v0, v1) = % 20.53/3.46 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ? [v4: $i] : ? [v5: % 20.53/3.46 | int] : ? [v6: int] : ($i(v4) & (( ~ (v6 = 0) & ~ (v5 = 0) & % 20.53/3.46 | drugbg(v4) = v6 & gt(v0, v4) = v5) | ( ~ (v3 = 0) & % 20.53/3.46 | releaselg(v1) = v3)))) % 20.53/3.46 | % 20.53/3.46 | ALPHA: (ne_cure) implies: % 20.53/3.46 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 20.53/3.46 | (conditionnormo(v1) = v2) | ~ (bcapacityne(v0) = 0) | ~ $i(v1) | ~ % 20.53/3.46 | $i(v0) | ? [v3: int] : ? [v4: $i] : ? [v5: int] : ? [v6: int] : % 20.53/3.46 | ? [v7: $i] : ? [v8: int] : ? [v9: int] : ? [v10: $i] : ? [v11: % 20.53/3.46 | int] : ? [v12: int] : ($i(v10) & $i(v7) & $i(v4) & ((v5 = 0 & ~ % 20.53/3.46 | (v6 = 0) & conditionhyper(v4) = v6 & gt(v0, v4) = 0) | (v3 = 0 % 20.53/3.46 | & gt(v0, v1) = 0) | ( ~ (v12 = 0) & ~ (v11 = 0) & % 20.53/3.46 | uptakepg(v10) = v12 & gt(v0, v10) = v11) | ( ~ (v9 = 0) & ~ % 20.53/3.46 | (v8 = 0) & bsecretioni(v7) = v9 & gt(v0, v7) = v8)))) % 20.53/3.46 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 20.53/3.46 | (conditionnormo(v1) = v2) | ~ (bcapacityne(v0) = 0) | ~ $i(v1) | ~ % 20.53/3.46 | $i(v0) | ? [v3: int] : ? [v4: $i] : ? [v5: int] : ? [v6: int] : % 20.53/3.46 | ? [v7: $i] : ? [v8: int] : ? [v9: int] : ? [v10: $i] : ? [v11: % 20.53/3.46 | int] : ? [v12: int] : ($i(v10) & $i(v7) & $i(v4) & ((v12 = 0 & ~ % 20.53/3.46 | (v11 = 0) & releaselg(v10) = 0 & gt(v0, v10) = v11) | (v5 = 0 & % 20.53/3.46 | ~ (v6 = 0) & conditionhyper(v4) = v6 & gt(v0, v4) = 0) | (v3 = % 20.53/3.46 | 0 & gt(v0, v1) = 0) | ( ~ (v9 = 0) & ~ (v8 = 0) & % 20.53/3.46 | bsecretioni(v7) = v9 & gt(v0, v7) = v8)))) % 20.53/3.46 | % 20.53/3.46 | ALPHA: (treatmentne) implies: % 20.53/3.46 | (7) $i(n0) % 20.53/3.47 | (8) ? [v0: $i] : ? [v1: int] : ? [v2: int] : ( ~ (v2 = 0) & ~ (v1 = 0) % 20.53/3.47 | & conditionnormo(v0) = v2 & bcapacityne(n0) = 0 & gt(n0, v0) = v1 & % 20.53/3.47 | $i(v0) & ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ % 20.53/3.47 | (conditionhyper(v3) = v4) | ~ $i(v3) | ? [v5: int] : ( ~ (v5 = 0) % 20.53/3.47 | & gt(n0, v3) = v5)) & ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ % 20.53/3.47 | (gt(n0, v3) = v4) | ~ $i(v3) | (drugbg(v3) = 0 & drugsu(v3) = 0)) % 20.53/3.47 | & ! [v3: $i] : ! [v4: any] : ( ~ (drugbg(v3) = v4) | ~ $i(v3) | ? % 20.53/3.47 | [v5: any] : ? [v6: any] : (drugsu(v3) = v6 & gt(n0, v3) = v5 & (v5 % 20.53/3.47 | = 0 | (v6 = 0 & v4 = 0)))) & ! [v3: $i] : ! [v4: any] : ( ~ % 20.53/3.47 | (drugsu(v3) = v4) | ~ $i(v3) | ? [v5: any] : ? [v6: any] : % 20.53/3.47 | (drugbg(v3) = v6 & gt(n0, v3) = v5 & (v5 = 0 | (v6 = 0 & v4 = 0)))) % 20.53/3.47 | & ! [v3: $i] : ( ~ (gt(n0, v3) = 0) | ~ $i(v3) | conditionhyper(v3) % 20.53/3.47 | = 0)) % 20.53/3.47 | % 20.53/3.47 | ALPHA: (function-axioms) implies: % 20.53/3.47 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 20.53/3.47 | (v1 = v0 | ~ (conditionhyper(v2) = v1) | ~ (conditionhyper(v2) = v0)) % 20.53/3.47 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 20.53/3.47 | : (v1 = v0 | ~ (releaselg(v2) = v1) | ~ (releaselg(v2) = v0)) % 20.53/3.47 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 20.53/3.47 | : (v1 = v0 | ~ (bsecretioni(v2) = v1) | ~ (bsecretioni(v2) = v0)) % 20.53/3.47 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 20.53/3.47 | : ! [v3: $i] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = % 20.53/3.47 | v0)) % 20.53/3.47 | % 20.53/3.47 | DELTA: instantiating (8) with fresh symbols all_28_0, all_28_1, all_28_2 % 20.53/3.47 | gives: % 20.53/3.47 | (13) ~ (all_28_0 = 0) & ~ (all_28_1 = 0) & conditionnormo(all_28_2) = % 20.53/3.47 | all_28_0 & bcapacityne(n0) = 0 & gt(n0, all_28_2) = all_28_1 & % 20.53/3.47 | $i(all_28_2) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 20.53/3.47 | (conditionhyper(v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) % 20.53/3.47 | & gt(n0, v0) = v2)) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 20.53/3.47 | (gt(n0, v0) = v1) | ~ $i(v0) | (drugbg(v0) = 0 & drugsu(v0) = 0)) & % 20.53/3.47 | ! [v0: $i] : ! [v1: any] : ( ~ (drugbg(v0) = v1) | ~ $i(v0) | ? % 20.53/3.47 | [v2: any] : ? [v3: any] : (drugsu(v0) = v3 & gt(n0, v0) = v2 & (v2 % 20.53/3.47 | = 0 | (v3 = 0 & v1 = 0)))) & ! [v0: $i] : ! [v1: any] : ( ~ % 20.53/3.47 | (drugsu(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : % 20.53/3.47 | (drugbg(v0) = v3 & gt(n0, v0) = v2 & (v2 = 0 | (v3 = 0 & v1 = 0)))) % 20.53/3.47 | & ! [v0: $i] : ( ~ (gt(n0, v0) = 0) | ~ $i(v0) | conditionhyper(v0) % 20.53/3.47 | = 0) % 20.53/3.47 | % 20.53/3.47 | ALPHA: (13) implies: % 20.53/3.47 | (14) ~ (all_28_1 = 0) % 20.53/3.47 | (15) ~ (all_28_0 = 0) % 20.53/3.47 | (16) $i(all_28_2) % 20.53/3.47 | (17) gt(n0, all_28_2) = all_28_1 % 20.53/3.47 | (18) bcapacityne(n0) = 0 % 20.53/3.47 | (19) conditionnormo(all_28_2) = all_28_0 % 20.53/3.47 | (20) ! [v0: $i] : ( ~ (gt(n0, v0) = 0) | ~ $i(v0) | conditionhyper(v0) = % 20.53/3.47 | 0) % 20.53/3.47 | (21) ! [v0: $i] : ! [v1: any] : ( ~ (drugsu(v0) = v1) | ~ $i(v0) | ? % 20.53/3.47 | [v2: any] : ? [v3: any] : (drugbg(v0) = v3 & gt(n0, v0) = v2 & (v2 % 20.53/3.47 | = 0 | (v3 = 0 & v1 = 0)))) % 20.53/3.47 | (22) ! [v0: $i] : ! [v1: any] : ( ~ (drugbg(v0) = v1) | ~ $i(v0) | ? % 20.53/3.47 | [v2: any] : ? [v3: any] : (drugsu(v0) = v3 & gt(n0, v0) = v2 & (v2 % 20.53/3.47 | = 0 | (v3 = 0 & v1 = 0)))) % 20.53/3.47 | % 20.53/3.47 | GROUND_INST: instantiating (1) with n0, simplifying with (7), (18) gives: % 20.53/3.47 | (23) ? [v0: int] : ( ~ (v0 = 0) & bcapacityex(n0) = v0) % 20.53/3.47 | % 20.53/3.47 | GROUND_INST: instantiating (6) with n0, all_28_2, all_28_0, simplifying with % 20.53/3.47 | (7), (16), (18), (19) gives: % 20.53/3.48 | (24) all_28_0 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: % 20.53/3.48 | int] : ? [v4: $i] : ? [v5: int] : ? [v6: int] : ? [v7: $i] : ? % 20.53/3.48 | [v8: int] : ? [v9: int] : ($i(v7) & $i(v4) & $i(v1) & ((v9 = 0 & ~ % 20.53/3.48 | (v8 = 0) & releaselg(v7) = 0 & gt(n0, v7) = v8) | (v2 = 0 & ~ % 20.53/3.48 | (v3 = 0) & conditionhyper(v1) = v3 & gt(n0, v1) = 0) | (v0 = 0 & % 20.53/3.48 | gt(n0, all_28_2) = 0) | ( ~ (v6 = 0) & ~ (v5 = 0) & % 20.53/3.48 | bsecretioni(v4) = v6 & gt(n0, v4) = v5))) % 20.53/3.48 | % 20.53/3.48 | GROUND_INST: instantiating (5) with n0, all_28_2, all_28_0, simplifying with % 20.53/3.48 | (7), (16), (18), (19) gives: % 20.53/3.48 | (25) all_28_0 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: % 20.53/3.48 | int] : ? [v4: $i] : ? [v5: int] : ? [v6: int] : ? [v7: $i] : ? % 20.53/3.48 | [v8: int] : ? [v9: int] : ($i(v7) & $i(v4) & $i(v1) & ((v2 = 0 & ~ % 20.53/3.48 | (v3 = 0) & conditionhyper(v1) = v3 & gt(n0, v1) = 0) | (v0 = 0 & % 20.53/3.48 | gt(n0, all_28_2) = 0) | ( ~ (v9 = 0) & ~ (v8 = 0) & % 20.53/3.48 | uptakepg(v7) = v9 & gt(n0, v7) = v8) | ( ~ (v6 = 0) & ~ (v5 = % 20.53/3.48 | 0) & bsecretioni(v4) = v6 & gt(n0, v4) = v5))) % 20.53/3.48 | % 20.53/3.48 | DELTA: instantiating (23) with fresh symbol all_36_0 gives: % 20.53/3.48 | (26) ~ (all_36_0 = 0) & bcapacityex(n0) = all_36_0 % 20.53/3.48 | % 20.53/3.48 | ALPHA: (26) implies: % 20.53/3.48 | (27) ~ (all_36_0 = 0) % 20.53/3.48 | (28) bcapacityex(n0) = all_36_0 % 20.53/3.48 | % 20.53/3.48 | BETA: splitting (25) gives: % 20.53/3.48 | % 20.53/3.48 | Case 1: % 20.53/3.48 | | % 20.53/3.48 | | (29) all_28_0 = 0 % 20.53/3.48 | | % 20.53/3.48 | | REDUCE: (15), (29) imply: % 20.53/3.48 | | (30) $false % 20.53/3.48 | | % 20.53/3.48 | | CLOSE: (30) is inconsistent. % 20.53/3.48 | | % 20.53/3.48 | Case 2: % 20.53/3.48 | | % 20.53/3.48 | | (31) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: int] : ? [v4: % 20.53/3.48 | | $i] : ? [v5: int] : ? [v6: int] : ? [v7: $i] : ? [v8: int] : % 20.53/3.48 | | ? [v9: int] : ($i(v7) & $i(v4) & $i(v1) & ((v2 = 0 & ~ (v3 = 0) & % 20.53/3.48 | | conditionhyper(v1) = v3 & gt(n0, v1) = 0) | (v0 = 0 & gt(n0, % 20.53/3.48 | | all_28_2) = 0) | ( ~ (v9 = 0) & ~ (v8 = 0) & uptakepg(v7) = % 20.53/3.48 | | v9 & gt(n0, v7) = v8) | ( ~ (v6 = 0) & ~ (v5 = 0) & % 20.53/3.48 | | bsecretioni(v4) = v6 & gt(n0, v4) = v5))) % 20.53/3.48 | | % 20.53/3.48 | | DELTA: instantiating (31) with fresh symbols all_62_0, all_62_1, all_62_2, % 20.53/3.48 | | all_62_3, all_62_4, all_62_5, all_62_6, all_62_7, all_62_8, all_62_9 % 20.53/3.48 | | gives: % 20.53/3.48 | | (32) $i(all_62_2) & $i(all_62_5) & $i(all_62_8) & ((all_62_7 = 0 & ~ % 20.53/3.48 | | (all_62_6 = 0) & conditionhyper(all_62_8) = all_62_6 & gt(n0, % 20.53/3.48 | | all_62_8) = 0) | (all_62_9 = 0 & gt(n0, all_28_2) = 0) | ( ~ % 20.53/3.48 | | (all_62_0 = 0) & ~ (all_62_1 = 0) & uptakepg(all_62_2) = % 20.53/3.48 | | all_62_0 & gt(n0, all_62_2) = all_62_1) | ( ~ (all_62_3 = 0) & % 20.53/3.48 | | ~ (all_62_4 = 0) & bsecretioni(all_62_5) = all_62_3 & gt(n0, % 20.53/3.48 | | all_62_5) = all_62_4)) % 20.53/3.48 | | % 20.53/3.48 | | ALPHA: (32) implies: % 20.53/3.48 | | (33) $i(all_62_8) % 20.53/3.48 | | (34) $i(all_62_5) % 20.53/3.48 | | (35) $i(all_62_2) % 20.53/3.48 | | (36) (all_62_7 = 0 & ~ (all_62_6 = 0) & conditionhyper(all_62_8) = % 20.53/3.48 | | all_62_6 & gt(n0, all_62_8) = 0) | (all_62_9 = 0 & gt(n0, % 20.53/3.48 | | all_28_2) = 0) | ( ~ (all_62_0 = 0) & ~ (all_62_1 = 0) & % 20.53/3.48 | | uptakepg(all_62_2) = all_62_0 & gt(n0, all_62_2) = all_62_1) | ( ~ % 20.53/3.48 | | (all_62_3 = 0) & ~ (all_62_4 = 0) & bsecretioni(all_62_5) = % 20.53/3.48 | | all_62_3 & gt(n0, all_62_5) = all_62_4) % 20.53/3.48 | | % 20.53/3.48 | | BETA: splitting (24) gives: % 20.53/3.48 | | % 20.53/3.48 | | Case 1: % 20.53/3.48 | | | % 20.53/3.48 | | | (37) all_28_0 = 0 % 20.53/3.48 | | | % 20.53/3.48 | | | REDUCE: (15), (37) imply: % 20.53/3.48 | | | (38) $false % 20.53/3.48 | | | % 20.53/3.48 | | | CLOSE: (38) is inconsistent. % 20.53/3.48 | | | % 20.53/3.48 | | Case 2: % 20.53/3.48 | | | % 20.53/3.49 | | | (39) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: int] : ? [v4: % 20.53/3.49 | | | $i] : ? [v5: int] : ? [v6: int] : ? [v7: $i] : ? [v8: int] : % 20.53/3.49 | | | ? [v9: int] : ($i(v7) & $i(v4) & $i(v1) & ((v9 = 0 & ~ (v8 = 0) % 20.53/3.49 | | | & releaselg(v7) = 0 & gt(n0, v7) = v8) | (v2 = 0 & ~ (v3 = % 20.53/3.49 | | | 0) & conditionhyper(v1) = v3 & gt(n0, v1) = 0) | (v0 = 0 & % 20.53/3.49 | | | gt(n0, all_28_2) = 0) | ( ~ (v6 = 0) & ~ (v5 = 0) & % 20.53/3.49 | | | bsecretioni(v4) = v6 & gt(n0, v4) = v5))) % 20.53/3.49 | | | % 20.53/3.49 | | | DELTA: instantiating (39) with fresh symbols all_67_0, all_67_1, all_67_2, % 20.53/3.49 | | | all_67_3, all_67_4, all_67_5, all_67_6, all_67_7, all_67_8, % 20.53/3.49 | | | all_67_9 gives: % 20.53/3.49 | | | (40) $i(all_67_2) & $i(all_67_5) & $i(all_67_8) & ((all_67_0 = 0 & ~ % 20.53/3.49 | | | (all_67_1 = 0) & releaselg(all_67_2) = 0 & gt(n0, all_67_2) = % 20.53/3.49 | | | all_67_1) | (all_67_7 = 0 & ~ (all_67_6 = 0) & % 20.53/3.49 | | | conditionhyper(all_67_8) = all_67_6 & gt(n0, all_67_8) = 0) | % 20.53/3.49 | | | (all_67_9 = 0 & gt(n0, all_28_2) = 0) | ( ~ (all_67_3 = 0) & ~ % 20.53/3.49 | | | (all_67_4 = 0) & bsecretioni(all_67_5) = all_67_3 & gt(n0, % 20.53/3.49 | | | all_67_5) = all_67_4)) % 20.53/3.49 | | | % 20.53/3.49 | | | ALPHA: (40) implies: % 20.53/3.49 | | | (41) $i(all_67_8) % 20.53/3.49 | | | (42) $i(all_67_5) % 20.53/3.49 | | | (43) $i(all_67_2) % 20.53/3.49 | | | (44) (all_67_0 = 0 & ~ (all_67_1 = 0) & releaselg(all_67_2) = 0 & % 20.53/3.49 | | | gt(n0, all_67_2) = all_67_1) | (all_67_7 = 0 & ~ (all_67_6 = 0) % 20.53/3.49 | | | & conditionhyper(all_67_8) = all_67_6 & gt(n0, all_67_8) = 0) | % 20.53/3.49 | | | (all_67_9 = 0 & gt(n0, all_28_2) = 0) | ( ~ (all_67_3 = 0) & ~ % 20.53/3.49 | | | (all_67_4 = 0) & bsecretioni(all_67_5) = all_67_3 & gt(n0, % 20.53/3.49 | | | all_67_5) = all_67_4) % 20.53/3.49 | | | % 20.53/3.49 | | | BETA: splitting (36) gives: % 20.53/3.49 | | | % 20.53/3.49 | | | Case 1: % 20.53/3.49 | | | | % 20.53/3.49 | | | | (45) (all_62_7 = 0 & ~ (all_62_6 = 0) & conditionhyper(all_62_8) = % 20.53/3.49 | | | | all_62_6 & gt(n0, all_62_8) = 0) | (all_62_9 = 0 & gt(n0, % 20.53/3.49 | | | | all_28_2) = 0) % 20.53/3.49 | | | | % 20.53/3.49 | | | | BETA: splitting (45) gives: % 20.53/3.49 | | | | % 20.53/3.49 | | | | Case 1: % 20.53/3.49 | | | | | % 20.53/3.49 | | | | | (46) all_62_7 = 0 & ~ (all_62_6 = 0) & conditionhyper(all_62_8) = % 20.53/3.49 | | | | | all_62_6 & gt(n0, all_62_8) = 0 % 20.53/3.49 | | | | | % 20.53/3.49 | | | | | ALPHA: (46) implies: % 20.53/3.49 | | | | | (47) ~ (all_62_6 = 0) % 20.53/3.49 | | | | | (48) gt(n0, all_62_8) = 0 % 20.53/3.49 | | | | | (49) conditionhyper(all_62_8) = all_62_6 % 20.53/3.49 | | | | | % 20.53/3.49 | | | | | GROUND_INST: instantiating (20) with all_62_8, simplifying with (33), % 20.53/3.49 | | | | | (48) gives: % 20.53/3.49 | | | | | (50) conditionhyper(all_62_8) = 0 % 20.53/3.49 | | | | | % 20.53/3.49 | | | | | GROUND_INST: instantiating (9) with all_62_6, 0, all_62_8, simplifying % 20.53/3.49 | | | | | with (49), (50) gives: % 20.53/3.49 | | | | | (51) all_62_6 = 0 % 20.53/3.49 | | | | | % 20.53/3.49 | | | | | REDUCE: (47), (51) imply: % 20.53/3.49 | | | | | (52) $false % 20.53/3.49 | | | | | % 20.53/3.49 | | | | | CLOSE: (52) is inconsistent. % 20.53/3.49 | | | | | % 20.53/3.49 | | | | Case 2: % 20.53/3.49 | | | | | % 20.53/3.49 | | | | | (53) all_62_9 = 0 & gt(n0, all_28_2) = 0 % 20.53/3.49 | | | | | % 20.53/3.49 | | | | | ALPHA: (53) implies: % 20.53/3.49 | | | | | (54) gt(n0, all_28_2) = 0 % 20.53/3.49 | | | | | % 20.53/3.49 | | | | | REF_CLOSE: (12), (14), (17), (54) are inconsistent by sub-proof #4. % 20.53/3.49 | | | | | % 20.53/3.49 | | | | End of split % 20.53/3.49 | | | | % 20.53/3.49 | | | Case 2: % 20.53/3.49 | | | | % 20.53/3.49 | | | | (55) ( ~ (all_62_0 = 0) & ~ (all_62_1 = 0) & uptakepg(all_62_2) = % 20.53/3.49 | | | | all_62_0 & gt(n0, all_62_2) = all_62_1) | ( ~ (all_62_3 = 0) & % 20.53/3.49 | | | | ~ (all_62_4 = 0) & bsecretioni(all_62_5) = all_62_3 & gt(n0, % 20.53/3.49 | | | | all_62_5) = all_62_4) % 20.53/3.49 | | | | % 20.53/3.49 | | | | BETA: splitting (55) gives: % 20.53/3.49 | | | | % 20.53/3.49 | | | | Case 1: % 20.53/3.49 | | | | | % 20.53/3.49 | | | | | (56) ~ (all_62_0 = 0) & ~ (all_62_1 = 0) & uptakepg(all_62_2) = % 20.53/3.49 | | | | | all_62_0 & gt(n0, all_62_2) = all_62_1 % 20.78/3.49 | | | | | % 20.78/3.49 | | | | | ALPHA: (56) implies: % 20.78/3.49 | | | | | (57) ~ (all_62_1 = 0) % 20.78/3.49 | | | | | (58) gt(n0, all_62_2) = all_62_1 % 20.78/3.49 | | | | | % 20.78/3.49 | | | | | GROUND_INST: instantiating (2) with n0, all_36_0, all_62_2, all_62_1, % 20.78/3.49 | | | | | simplifying with (7), (28), (35), (58) gives: % 20.78/3.49 | | | | | (59) all_62_1 = 0 | all_36_0 = 0 | ? [v0: int] : ? [v1: $i] : ? % 20.78/3.49 | | | | | [v2: int] : ? [v3: int] : ($i(v1) & ((v0 = 0 & % 20.78/3.49 | | | | | bsecretioni(all_62_2) = 0) | ( ~ (v3 = 0) & ~ (v2 = 0) % 20.78/3.49 | | | | | & drugsu(v1) = v3 & gt(n0, v1) = v2))) % 20.78/3.49 | | | | | % 20.78/3.49 | | | | | GROUND_INST: instantiating (4) with n0, all_62_2, all_62_1, % 20.78/3.49 | | | | | simplifying with (7), (35), (58) gives: % 20.78/3.50 | | | | | (60) all_62_1 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? % 20.78/3.50 | | | | | [v3: int] : ($i(v1) & (( ~ (v3 = 0) & ~ (v2 = 0) & drugbg(v1) % 20.78/3.50 | | | | | = v3 & gt(n0, v1) = v2) | ( ~ (v0 = 0) & % 20.78/3.50 | | | | | releaselg(all_62_2) = v0))) % 20.78/3.50 | | | | | % 20.78/3.50 | | | | | BETA: splitting (44) gives: % 20.78/3.50 | | | | | % 20.78/3.50 | | | | | Case 1: % 20.78/3.50 | | | | | | % 20.78/3.50 | | | | | | (61) (all_67_0 = 0 & ~ (all_67_1 = 0) & releaselg(all_67_2) = 0 % 20.78/3.50 | | | | | | & gt(n0, all_67_2) = all_67_1) | (all_67_7 = 0 & ~ % 20.78/3.50 | | | | | | (all_67_6 = 0) & conditionhyper(all_67_8) = all_67_6 & % 20.78/3.50 | | | | | | gt(n0, all_67_8) = 0) % 20.78/3.50 | | | | | | % 20.78/3.50 | | | | | | BETA: splitting (61) gives: % 20.78/3.50 | | | | | | % 20.78/3.50 | | | | | | Case 1: % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | (62) all_67_0 = 0 & ~ (all_67_1 = 0) & releaselg(all_67_2) = 0 % 20.78/3.50 | | | | | | | & gt(n0, all_67_2) = all_67_1 % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | ALPHA: (62) implies: % 20.78/3.50 | | | | | | | (63) ~ (all_67_1 = 0) % 20.78/3.50 | | | | | | | (64) gt(n0, all_67_2) = all_67_1 % 20.78/3.50 | | | | | | | (65) releaselg(all_67_2) = 0 % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | BETA: splitting (60) gives: % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | Case 1: % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | (66) all_62_1 = 0 % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | REDUCE: (57), (66) imply: % 20.78/3.50 | | | | | | | | (67) $false % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | CLOSE: (67) is inconsistent. % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | Case 2: % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | GROUND_INST: instantiating (4) with n0, all_67_2, all_67_1, % 20.78/3.50 | | | | | | | | simplifying with (7), (43), (64) gives: % 20.78/3.50 | | | | | | | | (68) all_67_1 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: int] % 20.78/3.50 | | | | | | | | : ? [v3: int] : ($i(v1) & (( ~ (v3 = 0) & ~ (v2 = 0) & % 20.78/3.50 | | | | | | | | drugbg(v1) = v3 & gt(n0, v1) = v2) | ( ~ (v0 = 0) % 20.78/3.50 | | | | | | | | & releaselg(all_67_2) = v0))) % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | REF_CLOSE: (10), (12), (22), (63), (65), (68) are inconsistent % 20.78/3.50 | | | | | | | | by sub-proof #3. % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | End of split % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | Case 2: % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | (69) all_67_7 = 0 & ~ (all_67_6 = 0) & % 20.78/3.50 | | | | | | | conditionhyper(all_67_8) = all_67_6 & gt(n0, all_67_8) = 0 % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | ALPHA: (69) implies: % 20.78/3.50 | | | | | | | (70) ~ (all_67_6 = 0) % 20.78/3.50 | | | | | | | (71) gt(n0, all_67_8) = 0 % 20.78/3.50 | | | | | | | (72) conditionhyper(all_67_8) = all_67_6 % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | BETA: splitting (59) gives: % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | Case 1: % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | (73) all_62_1 = 0 % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | REDUCE: (57), (73) imply: % 20.78/3.50 | | | | | | | | (74) $false % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | CLOSE: (74) is inconsistent. % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | Case 2: % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | (75) all_36_0 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: int] % 20.78/3.50 | | | | | | | | : ? [v3: int] : ($i(v1) & ((v0 = 0 & % 20.78/3.50 | | | | | | | | bsecretioni(all_62_2) = 0) | ( ~ (v3 = 0) & ~ (v2 % 20.78/3.50 | | | | | | | | = 0) & drugsu(v1) = v3 & gt(n0, v1) = v2))) % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | BETA: splitting (75) gives: % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | Case 1: % 20.78/3.50 | | | | | | | | | % 20.78/3.50 | | | | | | | | | (76) all_36_0 = 0 % 20.78/3.50 | | | | | | | | | % 20.78/3.50 | | | | | | | | | REDUCE: (27), (76) imply: % 20.78/3.50 | | | | | | | | | (77) $false % 20.78/3.50 | | | | | | | | | % 20.78/3.50 | | | | | | | | | CLOSE: (77) is inconsistent. % 20.78/3.50 | | | | | | | | | % 20.78/3.50 | | | | | | | | Case 2: % 20.78/3.50 | | | | | | | | | % 20.78/3.50 | | | | | | | | | % 20.78/3.50 | | | | | | | | | GROUND_INST: instantiating (20) with all_67_8, simplifying with % 20.78/3.50 | | | | | | | | | (41), (71) gives: % 20.78/3.50 | | | | | | | | | (78) conditionhyper(all_67_8) = 0 % 20.78/3.50 | | | | | | | | | % 20.78/3.50 | | | | | | | | | REF_CLOSE: (9), (70), (72), (78) are inconsistent by sub-proof % 20.78/3.50 | | | | | | | | | #2. % 20.78/3.50 | | | | | | | | | % 20.78/3.50 | | | | | | | | End of split % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | End of split % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | End of split % 20.78/3.50 | | | | | | % 20.78/3.50 | | | | | Case 2: % 20.78/3.50 | | | | | | % 20.78/3.50 | | | | | | (79) (all_67_9 = 0 & gt(n0, all_28_2) = 0) | ( ~ (all_67_3 = 0) & % 20.78/3.50 | | | | | | ~ (all_67_4 = 0) & bsecretioni(all_67_5) = all_67_3 & % 20.78/3.50 | | | | | | gt(n0, all_67_5) = all_67_4) % 20.78/3.50 | | | | | | % 20.78/3.50 | | | | | | BETA: splitting (79) gives: % 20.78/3.50 | | | | | | % 20.78/3.50 | | | | | | Case 1: % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | (80) all_67_9 = 0 & gt(n0, all_28_2) = 0 % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | ALPHA: (80) implies: % 20.78/3.50 | | | | | | | (81) gt(n0, all_28_2) = 0 % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | REF_CLOSE: (12), (14), (17), (81) are inconsistent by sub-proof % 20.78/3.50 | | | | | | | #4. % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | Case 2: % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | (82) ~ (all_67_3 = 0) & ~ (all_67_4 = 0) & % 20.78/3.50 | | | | | | | bsecretioni(all_67_5) = all_67_3 & gt(n0, all_67_5) = % 20.78/3.50 | | | | | | | all_67_4 % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | ALPHA: (82) implies: % 20.78/3.50 | | | | | | | (83) ~ (all_67_4 = 0) % 20.78/3.50 | | | | | | | (84) ~ (all_67_3 = 0) % 20.78/3.50 | | | | | | | (85) gt(n0, all_67_5) = all_67_4 % 20.78/3.50 | | | | | | | (86) bsecretioni(all_67_5) = all_67_3 % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | BETA: splitting (59) gives: % 20.78/3.50 | | | | | | | % 20.78/3.50 | | | | | | | Case 1: % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | (87) all_62_1 = 0 % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | REDUCE: (57), (87) imply: % 20.78/3.50 | | | | | | | | (88) $false % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | CLOSE: (88) is inconsistent. % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | Case 2: % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | (89) all_36_0 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: int] % 20.78/3.50 | | | | | | | | : ? [v3: int] : ($i(v1) & ((v0 = 0 & % 20.78/3.50 | | | | | | | | bsecretioni(all_62_2) = 0) | ( ~ (v3 = 0) & ~ (v2 % 20.78/3.50 | | | | | | | | = 0) & drugsu(v1) = v3 & gt(n0, v1) = v2))) % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | BETA: splitting (89) gives: % 20.78/3.50 | | | | | | | | % 20.78/3.50 | | | | | | | | Case 1: % 20.78/3.50 | | | | | | | | | % 20.78/3.50 | | | | | | | | | (90) all_36_0 = 0 % 20.78/3.50 | | | | | | | | | % 20.78/3.50 | | | | | | | | | REDUCE: (27), (90) imply: % 20.78/3.50 | | | | | | | | | (91) $false % 20.78/3.50 | | | | | | | | | % 20.78/3.50 | | | | | | | | | CLOSE: (91) is inconsistent. % 20.78/3.50 | | | | | | | | | % 20.78/3.50 | | | | | | | | Case 2: % 20.78/3.50 | | | | | | | | | % 20.78/3.50 | | | | | | | | | % 20.78/3.51 | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_36_0, all_67_5, % 20.78/3.51 | | | | | | | | | all_67_4, simplifying with (7), (28), (42), (85) % 20.78/3.51 | | | | | | | | | gives: % 20.78/3.51 | | | | | | | | | (92) all_67_4 = 0 | all_36_0 = 0 | ? [v0: int] : ? [v1: % 20.78/3.51 | | | | | | | | | $i] : ? [v2: int] : ? [v3: int] : ($i(v1) & ((v0 = % 20.78/3.51 | | | | | | | | | 0 & bsecretioni(all_67_5) = 0) | ( ~ (v3 = 0) & % 20.78/3.51 | | | | | | | | | ~ (v2 = 0) & drugsu(v1) = v3 & gt(n0, v1) = % 20.78/3.51 | | | | | | | | | v2))) % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | REF_CLOSE: (11), (12), (21), (27), (83), (84), (86), (92) are % 20.78/3.51 | | | | | | | | | inconsistent by sub-proof #1. % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | End of split % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | End of split % 20.78/3.51 | | | | | | | % 20.78/3.51 | | | | | | End of split % 20.78/3.51 | | | | | | % 20.78/3.51 | | | | | End of split % 20.78/3.51 | | | | | % 20.78/3.51 | | | | Case 2: % 20.78/3.51 | | | | | % 20.78/3.51 | | | | | (93) ~ (all_62_3 = 0) & ~ (all_62_4 = 0) & bsecretioni(all_62_5) % 20.78/3.51 | | | | | = all_62_3 & gt(n0, all_62_5) = all_62_4 % 20.78/3.51 | | | | | % 20.78/3.51 | | | | | ALPHA: (93) implies: % 20.78/3.51 | | | | | (94) ~ (all_62_4 = 0) % 20.78/3.51 | | | | | (95) ~ (all_62_3 = 0) % 20.78/3.51 | | | | | (96) gt(n0, all_62_5) = all_62_4 % 20.78/3.51 | | | | | (97) bsecretioni(all_62_5) = all_62_3 % 20.78/3.51 | | | | | % 20.78/3.51 | | | | | GROUND_INST: instantiating (2) with n0, all_36_0, all_62_5, all_62_4, % 20.78/3.51 | | | | | simplifying with (7), (28), (34), (96) gives: % 20.78/3.51 | | | | | (98) all_62_4 = 0 | all_36_0 = 0 | ? [v0: int] : ? [v1: $i] : ? % 20.78/3.51 | | | | | [v2: int] : ? [v3: int] : ($i(v1) & ((v0 = 0 & % 20.78/3.51 | | | | | bsecretioni(all_62_5) = 0) | ( ~ (v3 = 0) & ~ (v2 = 0) % 20.78/3.51 | | | | | & drugsu(v1) = v3 & gt(n0, v1) = v2))) % 20.78/3.51 | | | | | % 20.78/3.51 | | | | | GROUND_INST: instantiating (3) with n0, all_36_0, all_62_5, all_62_3, % 20.78/3.51 | | | | | simplifying with (7), (28), (34), (97) gives: % 20.78/3.51 | | | | | (99) all_62_3 = 0 | all_36_0 = 0 | ? [v0: int] : ? [v1: $i] : ? % 20.78/3.51 | | | | | [v2: int] : ? [v3: int] : ($i(v1) & ((v0 = 0 & gt(n0, % 20.78/3.51 | | | | | all_62_5) = 0) | ( ~ (v3 = 0) & ~ (v2 = 0) & % 20.78/3.51 | | | | | drugsu(v1) = v3 & gt(n0, v1) = v2))) % 20.78/3.51 | | | | | % 20.78/3.51 | | | | | BETA: splitting (44) gives: % 20.78/3.51 | | | | | % 20.78/3.51 | | | | | Case 1: % 20.78/3.51 | | | | | | % 20.78/3.51 | | | | | | (100) (all_67_0 = 0 & ~ (all_67_1 = 0) & releaselg(all_67_2) = 0 % 20.78/3.51 | | | | | | & gt(n0, all_67_2) = all_67_1) | (all_67_7 = 0 & ~ % 20.78/3.51 | | | | | | (all_67_6 = 0) & conditionhyper(all_67_8) = all_67_6 & % 20.78/3.51 | | | | | | gt(n0, all_67_8) = 0) % 20.78/3.51 | | | | | | % 20.78/3.51 | | | | | | BETA: splitting (100) gives: % 20.78/3.51 | | | | | | % 20.78/3.51 | | | | | | Case 1: % 20.78/3.51 | | | | | | | % 20.78/3.51 | | | | | | | (101) all_67_0 = 0 & ~ (all_67_1 = 0) & releaselg(all_67_2) = % 20.78/3.51 | | | | | | | 0 & gt(n0, all_67_2) = all_67_1 % 20.78/3.51 | | | | | | | % 20.78/3.51 | | | | | | | ALPHA: (101) implies: % 20.78/3.51 | | | | | | | (102) ~ (all_67_1 = 0) % 20.78/3.51 | | | | | | | (103) gt(n0, all_67_2) = all_67_1 % 20.78/3.51 | | | | | | | (104) releaselg(all_67_2) = 0 % 20.78/3.51 | | | | | | | % 20.78/3.51 | | | | | | | BETA: splitting (99) gives: % 20.78/3.51 | | | | | | | % 20.78/3.51 | | | | | | | Case 1: % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | | (105) all_62_3 = 0 % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | | REDUCE: (95), (105) imply: % 20.78/3.51 | | | | | | | | (106) $false % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | | CLOSE: (106) is inconsistent. % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | Case 2: % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | | (107) all_36_0 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: % 20.78/3.51 | | | | | | | | int] : ? [v3: int] : ($i(v1) & ((v0 = 0 & gt(n0, % 20.78/3.51 | | | | | | | | all_62_5) = 0) | ( ~ (v3 = 0) & ~ (v2 = 0) & % 20.78/3.51 | | | | | | | | drugsu(v1) = v3 & gt(n0, v1) = v2))) % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | | BETA: splitting (107) gives: % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | | Case 1: % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | (108) all_36_0 = 0 % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | REDUCE: (27), (108) imply: % 20.78/3.51 | | | | | | | | | (109) $false % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | CLOSE: (109) is inconsistent. % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | Case 2: % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_67_2, all_67_1, % 20.78/3.51 | | | | | | | | | simplifying with (7), (43), (103) gives: % 20.78/3.51 | | | | | | | | | (110) all_67_1 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: % 20.78/3.51 | | | | | | | | | int] : ? [v3: int] : ($i(v1) & (( ~ (v3 = 0) & ~ % 20.78/3.51 | | | | | | | | | (v2 = 0) & drugbg(v1) = v3 & gt(n0, v1) = v2) | % 20.78/3.51 | | | | | | | | | ( ~ (v0 = 0) & releaselg(all_67_2) = v0))) % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | REF_CLOSE: (10), (12), (22), (102), (104), (110) are % 20.78/3.51 | | | | | | | | | inconsistent by sub-proof #3. % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | End of split % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | End of split % 20.78/3.51 | | | | | | | % 20.78/3.51 | | | | | | Case 2: % 20.78/3.51 | | | | | | | % 20.78/3.51 | | | | | | | (111) all_67_7 = 0 & ~ (all_67_6 = 0) & % 20.78/3.51 | | | | | | | conditionhyper(all_67_8) = all_67_6 & gt(n0, all_67_8) = % 20.78/3.51 | | | | | | | 0 % 20.78/3.51 | | | | | | | % 20.78/3.51 | | | | | | | ALPHA: (111) implies: % 20.78/3.51 | | | | | | | (112) ~ (all_67_6 = 0) % 20.78/3.51 | | | | | | | (113) gt(n0, all_67_8) = 0 % 20.78/3.51 | | | | | | | (114) conditionhyper(all_67_8) = all_67_6 % 20.78/3.51 | | | | | | | % 20.78/3.51 | | | | | | | BETA: splitting (98) gives: % 20.78/3.51 | | | | | | | % 20.78/3.51 | | | | | | | Case 1: % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | | (115) all_62_4 = 0 % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | | REDUCE: (94), (115) imply: % 20.78/3.51 | | | | | | | | (116) $false % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | | CLOSE: (116) is inconsistent. % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | Case 2: % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | | (117) all_36_0 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: % 20.78/3.51 | | | | | | | | int] : ? [v3: int] : ($i(v1) & ((v0 = 0 & % 20.78/3.51 | | | | | | | | bsecretioni(all_62_5) = 0) | ( ~ (v3 = 0) & ~ % 20.78/3.51 | | | | | | | | (v2 = 0) & drugsu(v1) = v3 & gt(n0, v1) = v2))) % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | | BETA: splitting (117) gives: % 20.78/3.51 | | | | | | | | % 20.78/3.51 | | | | | | | | Case 1: % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | (118) all_36_0 = 0 % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | REDUCE: (27), (118) imply: % 20.78/3.51 | | | | | | | | | (119) $false % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | CLOSE: (119) is inconsistent. % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | Case 2: % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | (120) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: % 20.78/3.51 | | | | | | | | | int] : ($i(v1) & ((v0 = 0 & bsecretioni(all_62_5) = % 20.78/3.51 | | | | | | | | | 0) | ( ~ (v3 = 0) & ~ (v2 = 0) & drugsu(v1) = % 20.78/3.51 | | | | | | | | | v3 & gt(n0, v1) = v2))) % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | DELTA: instantiating (120) with fresh symbols all_184_0, % 20.78/3.51 | | | | | | | | | all_184_1, all_184_2, all_184_3 gives: % 20.78/3.51 | | | | | | | | | (121) $i(all_184_2) & ((all_184_3 = 0 & % 20.78/3.51 | | | | | | | | | bsecretioni(all_62_5) = 0) | ( ~ (all_184_0 = 0) % 20.78/3.51 | | | | | | | | | & ~ (all_184_1 = 0) & drugsu(all_184_2) = % 20.78/3.51 | | | | | | | | | all_184_0 & gt(n0, all_184_2) = all_184_1)) % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | ALPHA: (121) implies: % 20.78/3.51 | | | | | | | | | (122) (all_184_3 = 0 & bsecretioni(all_62_5) = 0) | ( ~ % 20.78/3.51 | | | | | | | | | (all_184_0 = 0) & ~ (all_184_1 = 0) & % 20.78/3.51 | | | | | | | | | drugsu(all_184_2) = all_184_0 & gt(n0, all_184_2) = % 20.78/3.51 | | | | | | | | | all_184_1) % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | BETA: splitting (122) gives: % 20.78/3.51 | | | | | | | | | % 20.78/3.51 | | | | | | | | | Case 1: % 20.78/3.51 | | | | | | | | | | % 20.78/3.51 | | | | | | | | | | (123) all_184_3 = 0 & bsecretioni(all_62_5) = 0 % 20.78/3.51 | | | | | | | | | | % 20.78/3.51 | | | | | | | | | | ALPHA: (123) implies: % 20.78/3.52 | | | | | | | | | | (124) bsecretioni(all_62_5) = 0 % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | GROUND_INST: instantiating (11) with all_62_3, 0, all_62_5, % 20.78/3.52 | | | | | | | | | | simplifying with (97), (124) gives: % 20.78/3.52 | | | | | | | | | | (125) all_62_3 = 0 % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | REDUCE: (95), (125) imply: % 20.78/3.52 | | | | | | | | | | (126) $false % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | CLOSE: (126) is inconsistent. % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | Case 2: % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | GROUND_INST: instantiating (20) with all_67_8, simplifying with % 20.78/3.52 | | | | | | | | | | (41), (113) gives: % 20.78/3.52 | | | | | | | | | | (127) conditionhyper(all_67_8) = 0 % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | REF_CLOSE: (9), (112), (114), (127) are inconsistent by % 20.78/3.52 | | | | | | | | | | sub-proof #2. % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | End of split % 20.78/3.52 | | | | | | | | | % 20.78/3.52 | | | | | | | | End of split % 20.78/3.52 | | | | | | | | % 20.78/3.52 | | | | | | | End of split % 20.78/3.52 | | | | | | | % 20.78/3.52 | | | | | | End of split % 20.78/3.52 | | | | | | % 20.78/3.52 | | | | | Case 2: % 20.78/3.52 | | | | | | % 20.78/3.52 | | | | | | (128) (all_67_9 = 0 & gt(n0, all_28_2) = 0) | ( ~ (all_67_3 = 0) % 20.78/3.52 | | | | | | & ~ (all_67_4 = 0) & bsecretioni(all_67_5) = all_67_3 & % 20.78/3.52 | | | | | | gt(n0, all_67_5) = all_67_4) % 20.78/3.52 | | | | | | % 20.78/3.52 | | | | | | BETA: splitting (128) gives: % 20.78/3.52 | | | | | | % 20.78/3.52 | | | | | | Case 1: % 20.78/3.52 | | | | | | | % 20.78/3.52 | | | | | | | (129) all_67_9 = 0 & gt(n0, all_28_2) = 0 % 20.78/3.52 | | | | | | | % 20.78/3.52 | | | | | | | ALPHA: (129) implies: % 20.78/3.52 | | | | | | | (130) gt(n0, all_28_2) = 0 % 20.78/3.52 | | | | | | | % 20.78/3.52 | | | | | | | REF_CLOSE: (12), (14), (17), (130) are inconsistent by sub-proof % 20.78/3.52 | | | | | | | #4. % 20.78/3.52 | | | | | | | % 20.78/3.52 | | | | | | Case 2: % 20.78/3.52 | | | | | | | % 20.78/3.52 | | | | | | | (131) ~ (all_67_3 = 0) & ~ (all_67_4 = 0) & % 20.78/3.52 | | | | | | | bsecretioni(all_67_5) = all_67_3 & gt(n0, all_67_5) = % 20.78/3.52 | | | | | | | all_67_4 % 20.78/3.52 | | | | | | | % 20.78/3.52 | | | | | | | ALPHA: (131) implies: % 20.78/3.52 | | | | | | | (132) ~ (all_67_4 = 0) % 20.78/3.52 | | | | | | | (133) ~ (all_67_3 = 0) % 20.78/3.52 | | | | | | | (134) gt(n0, all_67_5) = all_67_4 % 20.78/3.52 | | | | | | | (135) bsecretioni(all_67_5) = all_67_3 % 20.78/3.52 | | | | | | | % 20.78/3.52 | | | | | | | BETA: splitting (99) gives: % 20.78/3.52 | | | | | | | % 20.78/3.52 | | | | | | | Case 1: % 20.78/3.52 | | | | | | | | % 20.78/3.52 | | | | | | | | (136) all_62_3 = 0 % 20.78/3.52 | | | | | | | | % 20.78/3.52 | | | | | | | | REDUCE: (95), (136) imply: % 20.78/3.52 | | | | | | | | (137) $false % 20.78/3.52 | | | | | | | | % 20.78/3.52 | | | | | | | | CLOSE: (137) is inconsistent. % 20.78/3.52 | | | | | | | | % 20.78/3.52 | | | | | | | Case 2: % 20.78/3.52 | | | | | | | | % 20.78/3.52 | | | | | | | | (138) all_36_0 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: % 20.78/3.52 | | | | | | | | int] : ? [v3: int] : ($i(v1) & ((v0 = 0 & gt(n0, % 20.78/3.52 | | | | | | | | all_62_5) = 0) | ( ~ (v3 = 0) & ~ (v2 = 0) & % 20.78/3.52 | | | | | | | | drugsu(v1) = v3 & gt(n0, v1) = v2))) % 20.78/3.52 | | | | | | | | % 20.78/3.52 | | | | | | | | BETA: splitting (138) gives: % 20.78/3.52 | | | | | | | | % 20.78/3.52 | | | | | | | | Case 1: % 20.78/3.52 | | | | | | | | | % 20.78/3.52 | | | | | | | | | (139) all_36_0 = 0 % 20.78/3.52 | | | | | | | | | % 20.78/3.52 | | | | | | | | | REDUCE: (27), (139) imply: % 20.78/3.52 | | | | | | | | | (140) $false % 20.78/3.52 | | | | | | | | | % 20.78/3.52 | | | | | | | | | CLOSE: (140) is inconsistent. % 20.78/3.52 | | | | | | | | | % 20.78/3.52 | | | | | | | | Case 2: % 20.78/3.52 | | | | | | | | | % 20.78/3.52 | | | | | | | | | (141) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: % 20.78/3.52 | | | | | | | | | int] : ($i(v1) & ((v0 = 0 & gt(n0, all_62_5) = 0) | % 20.78/3.52 | | | | | | | | | ( ~ (v3 = 0) & ~ (v2 = 0) & drugsu(v1) = v3 & % 20.78/3.52 | | | | | | | | | gt(n0, v1) = v2))) % 20.78/3.52 | | | | | | | | | % 20.78/3.52 | | | | | | | | | DELTA: instantiating (141) with fresh symbols all_193_0, % 20.78/3.52 | | | | | | | | | all_193_1, all_193_2, all_193_3 gives: % 20.78/3.52 | | | | | | | | | (142) $i(all_193_2) & ((all_193_3 = 0 & gt(n0, all_62_5) = % 20.78/3.52 | | | | | | | | | 0) | ( ~ (all_193_0 = 0) & ~ (all_193_1 = 0) & % 20.78/3.52 | | | | | | | | | drugsu(all_193_2) = all_193_0 & gt(n0, all_193_2) % 20.78/3.52 | | | | | | | | | = all_193_1)) % 20.78/3.52 | | | | | | | | | % 20.78/3.52 | | | | | | | | | ALPHA: (142) implies: % 20.78/3.52 | | | | | | | | | (143) (all_193_3 = 0 & gt(n0, all_62_5) = 0) | ( ~ % 20.78/3.52 | | | | | | | | | (all_193_0 = 0) & ~ (all_193_1 = 0) & % 20.78/3.52 | | | | | | | | | drugsu(all_193_2) = all_193_0 & gt(n0, all_193_2) = % 20.78/3.52 | | | | | | | | | all_193_1) % 20.78/3.52 | | | | | | | | | % 20.78/3.52 | | | | | | | | | BETA: splitting (143) gives: % 20.78/3.52 | | | | | | | | | % 20.78/3.52 | | | | | | | | | Case 1: % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | (144) all_193_3 = 0 & gt(n0, all_62_5) = 0 % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | ALPHA: (144) implies: % 20.78/3.52 | | | | | | | | | | (145) gt(n0, all_62_5) = 0 % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | GROUND_INST: instantiating (12) with all_62_4, 0, all_62_5, n0, % 20.78/3.52 | | | | | | | | | | simplifying with (96), (145) gives: % 20.78/3.52 | | | | | | | | | | (146) all_62_4 = 0 % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | REDUCE: (94), (146) imply: % 20.78/3.52 | | | | | | | | | | (147) $false % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | CLOSE: (147) is inconsistent. % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | Case 2: % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | GROUND_INST: instantiating (2) with n0, all_36_0, all_67_5, % 20.78/3.52 | | | | | | | | | | all_67_4, simplifying with (7), (28), (42), (134) % 20.78/3.52 | | | | | | | | | | gives: % 20.78/3.52 | | | | | | | | | | (148) all_67_4 = 0 | all_36_0 = 0 | ? [v0: int] : ? % 20.78/3.52 | | | | | | | | | | [v1: $i] : ? [v2: int] : ? [v3: int] : ($i(v1) & % 20.78/3.52 | | | | | | | | | | ((v0 = 0 & bsecretioni(all_67_5) = 0) | ( ~ (v3 = % 20.78/3.52 | | | | | | | | | | 0) & ~ (v2 = 0) & drugsu(v1) = v3 & gt(n0, % 20.78/3.52 | | | | | | | | | | v1) = v2))) % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | | REF_CLOSE: (11), (12), (21), (27), (132), (133), (135), (148) % 20.78/3.52 | | | | | | | | | | are inconsistent by sub-proof #1. % 20.78/3.52 | | | | | | | | | | % 20.78/3.52 | | | | | | | | | End of split % 20.78/3.52 | | | | | | | | | % 20.78/3.52 | | | | | | | | End of split % 20.78/3.52 | | | | | | | | % 20.78/3.52 | | | | | | | End of split % 20.78/3.52 | | | | | | | % 20.78/3.52 | | | | | | End of split % 20.78/3.52 | | | | | | % 20.78/3.52 | | | | | End of split % 20.78/3.52 | | | | | % 20.78/3.52 | | | | End of split % 20.78/3.52 | | | | % 20.78/3.52 | | | End of split % 20.78/3.52 | | | % 20.78/3.52 | | End of split % 20.78/3.52 | | % 20.78/3.52 | End of split % 20.78/3.52 | % 20.78/3.52 End of proof % 20.78/3.52 % 20.78/3.52 Sub-proof #1 shows that the following formulas are inconsistent: % 20.78/3.52 ---------------------------------------------------------------- % 20.78/3.52 (1) bsecretioni(all_67_5) = all_67_3 % 20.78/3.52 (2) ! [v0: $i] : ! [v1: any] : ( ~ (drugsu(v0) = v1) | ~ $i(v0) | ? [v2: % 20.78/3.52 any] : ? [v3: any] : (drugbg(v0) = v3 & gt(n0, v0) = v2 & (v2 = 0 | % 20.78/3.52 (v3 = 0 & v1 = 0)))) % 20.78/3.52 (3) ~ (all_36_0 = 0) % 20.78/3.52 (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 20.78/3.52 ! [v3: $i] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) % 20.78/3.52 (5) all_67_4 = 0 | all_36_0 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: int] : % 20.78/3.52 ? [v3: int] : ($i(v1) & ((v0 = 0 & bsecretioni(all_67_5) = 0) | ( ~ (v3 % 20.78/3.52 = 0) & ~ (v2 = 0) & drugsu(v1) = v3 & gt(n0, v1) = v2))) % 20.78/3.52 (6) ~ (all_67_4 = 0) % 20.78/3.52 (7) ~ (all_67_3 = 0) % 20.78/3.52 (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 20.78/3.52 (v1 = v0 | ~ (bsecretioni(v2) = v1) | ~ (bsecretioni(v2) = v0)) % 20.78/3.52 % 20.78/3.52 Begin of proof % 20.78/3.52 | % 20.78/3.52 | BETA: splitting (5) gives: % 20.78/3.52 | % 20.78/3.52 | Case 1: % 20.78/3.52 | | % 20.78/3.52 | | (9) all_67_4 = 0 % 20.78/3.52 | | % 20.78/3.52 | | REDUCE: (6), (9) imply: % 20.78/3.52 | | (10) $false % 20.78/3.52 | | % 20.78/3.52 | | CLOSE: (10) is inconsistent. % 20.78/3.52 | | % 20.78/3.52 | Case 2: % 20.78/3.52 | | % 20.78/3.52 | | (11) all_36_0 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: % 20.78/3.52 | | int] : ($i(v1) & ((v0 = 0 & bsecretioni(all_67_5) = 0) | ( ~ (v3 = % 20.78/3.52 | | 0) & ~ (v2 = 0) & drugsu(v1) = v3 & gt(n0, v1) = v2))) % 20.78/3.52 | | % 20.78/3.52 | | BETA: splitting (11) gives: % 20.78/3.52 | | % 20.78/3.52 | | Case 1: % 20.78/3.52 | | | % 20.78/3.52 | | | (12) all_36_0 = 0 % 20.78/3.53 | | | % 20.78/3.53 | | | REDUCE: (3), (12) imply: % 20.78/3.53 | | | (13) $false % 20.78/3.53 | | | % 20.78/3.53 | | | CLOSE: (13) is inconsistent. % 20.78/3.53 | | | % 20.78/3.53 | | Case 2: % 20.78/3.53 | | | % 20.78/3.53 | | | (14) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: int] : ($i(v1) % 20.78/3.53 | | | & ((v0 = 0 & bsecretioni(all_67_5) = 0) | ( ~ (v3 = 0) & ~ (v2 % 20.78/3.53 | | | = 0) & drugsu(v1) = v3 & gt(n0, v1) = v2))) % 20.78/3.53 | | | % 20.78/3.53 | | | DELTA: instantiating (14) with fresh symbols all_265_0, all_265_1, % 20.78/3.53 | | | all_265_2, all_265_3 gives: % 20.78/3.53 | | | (15) $i(all_265_2) & ((all_265_3 = 0 & bsecretioni(all_67_5) = 0) | ( ~ % 20.78/3.53 | | | (all_265_0 = 0) & ~ (all_265_1 = 0) & drugsu(all_265_2) = % 20.78/3.53 | | | all_265_0 & gt(n0, all_265_2) = all_265_1)) % 20.78/3.53 | | | % 20.78/3.53 | | | ALPHA: (15) implies: % 20.78/3.53 | | | (16) $i(all_265_2) % 20.78/3.53 | | | (17) (all_265_3 = 0 & bsecretioni(all_67_5) = 0) | ( ~ (all_265_0 = 0) % 20.78/3.53 | | | & ~ (all_265_1 = 0) & drugsu(all_265_2) = all_265_0 & gt(n0, % 20.78/3.53 | | | all_265_2) = all_265_1) % 20.78/3.53 | | | % 20.78/3.53 | | | BETA: splitting (17) gives: % 20.78/3.53 | | | % 20.78/3.53 | | | Case 1: % 20.78/3.53 | | | | % 20.78/3.53 | | | | (18) all_265_3 = 0 & bsecretioni(all_67_5) = 0 % 20.78/3.53 | | | | % 20.78/3.53 | | | | ALPHA: (18) implies: % 20.78/3.53 | | | | (19) bsecretioni(all_67_5) = 0 % 20.78/3.53 | | | | % 20.78/3.53 | | | | GROUND_INST: instantiating (8) with all_67_3, 0, all_67_5, simplifying % 20.78/3.53 | | | | with (1), (19) gives: % 20.78/3.53 | | | | (20) all_67_3 = 0 % 20.78/3.53 | | | | % 20.78/3.53 | | | | REDUCE: (7), (20) imply: % 20.78/3.53 | | | | (21) $false % 20.78/3.53 | | | | % 20.78/3.53 | | | | CLOSE: (21) is inconsistent. % 20.78/3.53 | | | | % 20.78/3.53 | | | Case 2: % 20.78/3.53 | | | | % 20.78/3.53 | | | | (22) ~ (all_265_0 = 0) & ~ (all_265_1 = 0) & drugsu(all_265_2) = % 20.78/3.53 | | | | all_265_0 & gt(n0, all_265_2) = all_265_1 % 20.78/3.53 | | | | % 20.78/3.53 | | | | ALPHA: (22) implies: % 20.78/3.53 | | | | (23) ~ (all_265_1 = 0) % 20.78/3.53 | | | | (24) ~ (all_265_0 = 0) % 20.78/3.53 | | | | (25) gt(n0, all_265_2) = all_265_1 % 20.78/3.53 | | | | (26) drugsu(all_265_2) = all_265_0 % 20.78/3.53 | | | | % 20.78/3.53 | | | | GROUND_INST: instantiating (2) with all_265_2, all_265_0, simplifying % 20.78/3.53 | | | | with (16), (26) gives: % 20.78/3.53 | | | | (27) ? [v0: any] : ? [v1: any] : (drugbg(all_265_2) = v1 & gt(n0, % 20.78/3.53 | | | | all_265_2) = v0 & (v0 = 0 | (v1 = 0 & all_265_0 = 0))) % 20.78/3.53 | | | | % 20.78/3.53 | | | | DELTA: instantiating (27) with fresh symbols all_304_0, all_304_1 gives: % 20.78/3.53 | | | | (28) drugbg(all_265_2) = all_304_0 & gt(n0, all_265_2) = all_304_1 & % 20.78/3.53 | | | | (all_304_1 = 0 | (all_304_0 = 0 & all_265_0 = 0)) % 20.78/3.53 | | | | % 20.78/3.53 | | | | ALPHA: (28) implies: % 20.78/3.53 | | | | (29) gt(n0, all_265_2) = all_304_1 % 20.78/3.53 | | | | (30) all_304_1 = 0 | (all_304_0 = 0 & all_265_0 = 0) % 20.78/3.53 | | | | % 20.78/3.53 | | | | BETA: splitting (30) gives: % 20.78/3.53 | | | | % 20.78/3.53 | | | | Case 1: % 20.78/3.53 | | | | | % 20.78/3.53 | | | | | (31) all_304_1 = 0 % 20.78/3.53 | | | | | % 20.78/3.53 | | | | | REDUCE: (29), (31) imply: % 20.78/3.53 | | | | | (32) gt(n0, all_265_2) = 0 % 20.78/3.53 | | | | | % 20.78/3.53 | | | | | GROUND_INST: instantiating (4) with all_265_1, 0, all_265_2, n0, % 20.78/3.53 | | | | | simplifying with (25), (32) gives: % 20.78/3.53 | | | | | (33) all_265_1 = 0 % 20.78/3.53 | | | | | % 20.78/3.53 | | | | | REDUCE: (23), (33) imply: % 20.78/3.53 | | | | | (34) $false % 20.78/3.53 | | | | | % 20.78/3.53 | | | | | CLOSE: (34) is inconsistent. % 20.78/3.53 | | | | | % 20.78/3.53 | | | | Case 2: % 20.78/3.53 | | | | | % 20.78/3.53 | | | | | (35) all_304_0 = 0 & all_265_0 = 0 % 20.78/3.53 | | | | | % 20.78/3.53 | | | | | ALPHA: (35) implies: % 20.78/3.53 | | | | | (36) all_265_0 = 0 % 20.78/3.53 | | | | | % 20.78/3.53 | | | | | REDUCE: (24), (36) imply: % 20.78/3.53 | | | | | (37) $false % 20.78/3.53 | | | | | % 20.78/3.53 | | | | | CLOSE: (37) is inconsistent. % 20.78/3.53 | | | | | % 20.78/3.53 | | | | End of split % 20.78/3.53 | | | | % 20.78/3.53 | | | End of split % 20.78/3.53 | | | % 20.78/3.53 | | End of split % 20.78/3.53 | | % 20.78/3.53 | End of split % 20.78/3.53 | % 20.78/3.53 End of proof % 20.78/3.53 % 20.78/3.53 Sub-proof #2 shows that the following formulas are inconsistent: % 20.78/3.53 ---------------------------------------------------------------- % 20.78/3.53 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 20.78/3.53 (v1 = v0 | ~ (conditionhyper(v2) = v1) | ~ (conditionhyper(v2) = v0)) % 20.78/3.53 (2) conditionhyper(all_67_8) = all_67_6 % 20.78/3.53 (3) conditionhyper(all_67_8) = 0 % 20.78/3.53 (4) ~ (all_67_6 = 0) % 20.78/3.53 % 20.78/3.53 Begin of proof % 20.78/3.53 | % 20.78/3.53 | GROUND_INST: instantiating (1) with all_67_6, 0, all_67_8, simplifying with % 20.78/3.53 | (2), (3) gives: % 20.78/3.53 | (5) all_67_6 = 0 % 20.78/3.53 | % 20.78/3.53 | REDUCE: (4), (5) imply: % 20.78/3.53 | (6) $false % 20.78/3.53 | % 20.78/3.53 | CLOSE: (6) is inconsistent. % 20.78/3.53 | % 20.78/3.53 End of proof % 20.78/3.53 % 20.78/3.53 Sub-proof #3 shows that the following formulas are inconsistent: % 20.78/3.53 ---------------------------------------------------------------- % 20.78/3.53 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 20.78/3.53 (v1 = v0 | ~ (releaselg(v2) = v1) | ~ (releaselg(v2) = v0)) % 20.78/3.53 (2) ! [v0: $i] : ! [v1: any] : ( ~ (drugbg(v0) = v1) | ~ $i(v0) | ? [v2: % 20.78/3.53 any] : ? [v3: any] : (drugsu(v0) = v3 & gt(n0, v0) = v2 & (v2 = 0 | % 20.78/3.53 (v3 = 0 & v1 = 0)))) % 20.78/3.53 (3) all_67_1 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: int] : % 20.78/3.53 ($i(v1) & (( ~ (v3 = 0) & ~ (v2 = 0) & drugbg(v1) = v3 & gt(n0, v1) = % 20.78/3.53 v2) | ( ~ (v0 = 0) & releaselg(all_67_2) = v0))) % 20.78/3.53 (4) releaselg(all_67_2) = 0 % 20.78/3.53 (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 20.78/3.53 ! [v3: $i] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) % 20.78/3.53 (6) ~ (all_67_1 = 0) % 20.78/3.53 % 20.78/3.53 Begin of proof % 20.78/3.53 | % 20.78/3.53 | BETA: splitting (3) gives: % 20.78/3.53 | % 20.78/3.53 | Case 1: % 20.78/3.53 | | % 20.78/3.53 | | (7) all_67_1 = 0 % 20.78/3.53 | | % 20.78/3.53 | | REDUCE: (6), (7) imply: % 20.78/3.53 | | (8) $false % 20.78/3.53 | | % 20.78/3.53 | | CLOSE: (8) is inconsistent. % 20.78/3.53 | | % 20.78/3.53 | Case 2: % 20.78/3.53 | | % 20.78/3.53 | | (9) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: int] : ($i(v1) & % 20.78/3.53 | | (( ~ (v3 = 0) & ~ (v2 = 0) & drugbg(v1) = v3 & gt(n0, v1) = v2) | % 20.78/3.53 | | ( ~ (v0 = 0) & releaselg(all_67_2) = v0))) % 20.78/3.53 | | % 20.78/3.53 | | DELTA: instantiating (9) with fresh symbols all_201_0, all_201_1, all_201_2, % 20.78/3.53 | | all_201_3 gives: % 20.78/3.53 | | (10) $i(all_201_2) & (( ~ (all_201_0 = 0) & ~ (all_201_1 = 0) & % 20.78/3.53 | | drugbg(all_201_2) = all_201_0 & gt(n0, all_201_2) = all_201_1) | % 20.78/3.53 | | ( ~ (all_201_3 = 0) & releaselg(all_67_2) = all_201_3)) % 20.78/3.53 | | % 20.78/3.53 | | ALPHA: (10) implies: % 20.78/3.53 | | (11) $i(all_201_2) % 20.78/3.53 | | (12) ( ~ (all_201_0 = 0) & ~ (all_201_1 = 0) & drugbg(all_201_2) = % 20.78/3.53 | | all_201_0 & gt(n0, all_201_2) = all_201_1) | ( ~ (all_201_3 = 0) & % 20.78/3.53 | | releaselg(all_67_2) = all_201_3) % 20.78/3.53 | | % 20.78/3.53 | | BETA: splitting (12) gives: % 20.78/3.53 | | % 20.78/3.53 | | Case 1: % 20.78/3.53 | | | % 20.78/3.53 | | | (13) ~ (all_201_0 = 0) & ~ (all_201_1 = 0) & drugbg(all_201_2) = % 20.78/3.53 | | | all_201_0 & gt(n0, all_201_2) = all_201_1 % 20.78/3.53 | | | % 20.78/3.53 | | | ALPHA: (13) implies: % 20.78/3.53 | | | (14) ~ (all_201_1 = 0) % 20.78/3.53 | | | (15) ~ (all_201_0 = 0) % 20.78/3.53 | | | (16) gt(n0, all_201_2) = all_201_1 % 20.78/3.53 | | | (17) drugbg(all_201_2) = all_201_0 % 20.78/3.53 | | | % 20.78/3.53 | | | GROUND_INST: instantiating (2) with all_201_2, all_201_0, simplifying with % 20.78/3.53 | | | (11), (17) gives: % 20.78/3.53 | | | (18) ? [v0: any] : ? [v1: any] : (drugsu(all_201_2) = v1 & gt(n0, % 20.78/3.53 | | | all_201_2) = v0 & (v0 = 0 | (v1 = 0 & all_201_0 = 0))) % 20.78/3.53 | | | % 20.78/3.53 | | | DELTA: instantiating (18) with fresh symbols all_302_0, all_302_1 gives: % 20.78/3.53 | | | (19) drugsu(all_201_2) = all_302_0 & gt(n0, all_201_2) = all_302_1 & % 20.78/3.53 | | | (all_302_1 = 0 | (all_302_0 = 0 & all_201_0 = 0)) % 20.78/3.53 | | | % 20.78/3.53 | | | ALPHA: (19) implies: % 20.78/3.53 | | | (20) gt(n0, all_201_2) = all_302_1 % 20.78/3.53 | | | (21) all_302_1 = 0 | (all_302_0 = 0 & all_201_0 = 0) % 20.78/3.53 | | | % 20.78/3.53 | | | BETA: splitting (21) gives: % 20.78/3.53 | | | % 20.78/3.53 | | | Case 1: % 20.78/3.53 | | | | % 20.78/3.53 | | | | (22) all_302_1 = 0 % 20.78/3.53 | | | | % 20.78/3.53 | | | | REDUCE: (20), (22) imply: % 20.78/3.53 | | | | (23) gt(n0, all_201_2) = 0 % 20.78/3.53 | | | | % 20.78/3.54 | | | | GROUND_INST: instantiating (5) with all_201_1, 0, all_201_2, n0, % 20.78/3.54 | | | | simplifying with (16), (23) gives: % 20.78/3.54 | | | | (24) all_201_1 = 0 % 20.78/3.54 | | | | % 20.78/3.54 | | | | REDUCE: (14), (24) imply: % 20.78/3.54 | | | | (25) $false % 20.78/3.54 | | | | % 20.78/3.54 | | | | CLOSE: (25) is inconsistent. % 20.78/3.54 | | | | % 20.78/3.54 | | | Case 2: % 20.78/3.54 | | | | % 20.78/3.54 | | | | (26) all_302_0 = 0 & all_201_0 = 0 % 20.78/3.54 | | | | % 20.78/3.54 | | | | ALPHA: (26) implies: % 20.78/3.54 | | | | (27) all_201_0 = 0 % 20.78/3.54 | | | | % 20.78/3.54 | | | | REDUCE: (15), (27) imply: % 20.78/3.54 | | | | (28) $false % 20.78/3.54 | | | | % 20.78/3.54 | | | | CLOSE: (28) is inconsistent. % 20.78/3.54 | | | | % 20.78/3.54 | | | End of split % 20.78/3.54 | | | % 20.78/3.54 | | Case 2: % 20.78/3.54 | | | % 20.78/3.54 | | | (29) ~ (all_201_3 = 0) & releaselg(all_67_2) = all_201_3 % 20.78/3.54 | | | % 20.78/3.54 | | | ALPHA: (29) implies: % 20.78/3.54 | | | (30) ~ (all_201_3 = 0) % 20.78/3.54 | | | (31) releaselg(all_67_2) = all_201_3 % 20.78/3.54 | | | % 20.78/3.54 | | | GROUND_INST: instantiating (1) with 0, all_201_3, all_67_2, simplifying % 20.78/3.54 | | | with (4), (31) gives: % 20.78/3.54 | | | (32) all_201_3 = 0 % 20.78/3.54 | | | % 20.78/3.54 | | | REDUCE: (30), (32) imply: % 20.78/3.54 | | | (33) $false % 20.78/3.54 | | | % 20.78/3.54 | | | CLOSE: (33) is inconsistent. % 20.78/3.54 | | | % 20.78/3.54 | | End of split % 20.78/3.54 | | % 20.78/3.54 | End of split % 20.78/3.54 | % 20.78/3.54 End of proof % 20.78/3.54 % 20.78/3.54 Sub-proof #4 shows that the following formulas are inconsistent: % 20.78/3.54 ---------------------------------------------------------------- % 20.78/3.54 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 20.78/3.54 ! [v3: $i] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) % 20.78/3.54 (2) gt(n0, all_28_2) = all_28_1 % 20.78/3.54 (3) gt(n0, all_28_2) = 0 % 20.78/3.54 (4) ~ (all_28_1 = 0) % 20.78/3.54 % 20.78/3.54 Begin of proof % 20.78/3.54 | % 20.78/3.54 | GROUND_INST: instantiating (1) with all_28_1, 0, all_28_2, n0, simplifying % 20.78/3.54 | with (2), (3) gives: % 20.78/3.54 | (5) all_28_1 = 0 % 20.78/3.54 | % 20.78/3.54 | REDUCE: (4), (5) imply: % 20.78/3.54 | (6) $false % 20.78/3.54 | % 20.78/3.54 | CLOSE: (6) is inconsistent. % 20.78/3.54 | % 20.78/3.54 End of proof % 20.78/3.54 % SZS output end Proof for theBenchmark % 20.78/3.54 % 20.78/3.54 2922ms %------------------------------------------------------------------------------