%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MED001+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 : n022.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 11.15s 2.25s % Output : Proof 18.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : MED001+1 : TPTP v8.1.2. Released v3.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n022.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 : Fri Aug 25 07:33:55 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.62 ________ _____ % 0.20/0.62 ___ __ \_________(_)________________________________ % 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.62 % 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.62 (2023-06-19) % 0.20/0.62 % 0.20/0.62 (c) Philipp Rümmer, 2009-2023 % 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.62 Amanda Stjerna. % 0.20/0.62 Free software under BSD-3-Clause. % 0.20/0.62 % 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.62 % 0.20/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.63 Running up to 7 provers in parallel. % 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.87/1.11 Prover 1: Preprocessing ... % 3.22/1.12 Prover 4: Preprocessing ... % 3.40/1.16 Prover 3: Preprocessing ... % 3.40/1.16 Prover 6: Preprocessing ... % 3.40/1.16 Prover 2: Preprocessing ... % 3.40/1.16 Prover 5: Preprocessing ... % 3.40/1.16 Prover 0: Preprocessing ... % 4.96/1.46 Prover 2: Proving ... % 4.96/1.46 Prover 5: Proving ... % 5.67/1.56 Prover 1: Warning: ignoring some quantifiers % 6.29/1.59 Prover 3: Warning: ignoring some quantifiers % 6.29/1.59 Prover 1: Constructing countermodel ... % 6.29/1.60 Prover 3: Constructing countermodel ... % 6.29/1.60 Prover 6: Proving ... % 7.06/1.70 Prover 4: Warning: ignoring some quantifiers % 7.54/1.74 Prover 0: Proving ... % 7.54/1.74 Prover 4: Constructing countermodel ... % 8.14/1.83 Prover 3: gave up % 8.14/1.85 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.61/1.88 Prover 7: Preprocessing ... % 8.61/1.90 Prover 1: gave up % 8.61/1.90 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.61/1.92 Prover 7: Warning: ignoring some quantifiers % 8.61/1.92 Prover 7: Constructing countermodel ... % 8.61/1.95 Prover 8: Preprocessing ... % 9.60/2.08 Prover 7: gave up % 9.60/2.10 Prover 8: Warning: ignoring some quantifiers % 9.60/2.10 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 9.60/2.11 Prover 8: Constructing countermodel ... % 9.60/2.13 Prover 9: Preprocessing ... % 10.11/2.23 Prover 8: gave up % 11.15/2.23 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 11.15/2.25 Prover 0: proved (1614ms) % 11.15/2.25 % 11.15/2.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 11.15/2.25 % 11.15/2.25 Prover 6: stopped % 11.15/2.26 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 11.15/2.26 Prover 5: stopped % 11.15/2.27 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 11.15/2.27 Prover 2: stopped % 11.15/2.28 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 11.15/2.28 Prover 10: Preprocessing ... % 11.15/2.28 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 11.15/2.29 Prover 13: Preprocessing ... % 11.59/2.30 Prover 11: Preprocessing ... % 11.59/2.31 Prover 16: Preprocessing ... % 11.59/2.32 Prover 9: Warning: ignoring some quantifiers % 11.59/2.32 Prover 9: Constructing countermodel ... % 11.59/2.33 Prover 19: Preprocessing ... % 11.59/2.33 Prover 9: stopped % 11.59/2.33 Prover 10: Warning: ignoring some quantifiers % 11.59/2.34 Prover 13: Warning: ignoring some quantifiers % 11.59/2.34 Prover 10: Constructing countermodel ... % 11.59/2.34 Prover 13: Constructing countermodel ... % 11.59/2.35 Prover 16: Warning: ignoring some quantifiers % 11.59/2.35 Prover 16: Constructing countermodel ... % 12.15/2.40 Prover 10: gave up % 12.70/2.45 Prover 13: gave up % 12.70/2.46 Prover 11: Warning: ignoring some quantifiers % 12.70/2.47 Prover 19: Warning: ignoring some quantifiers % 12.70/2.48 Prover 11: Constructing countermodel ... % 12.70/2.48 Prover 16: gave up % 12.70/2.48 Prover 19: Constructing countermodel ... % 14.30/2.77 Prover 19: gave up % 18.02/3.35 Prover 4: Found proof (size 90) % 18.02/3.35 Prover 4: proved (2716ms) % 18.02/3.36 Prover 11: stopped % 18.02/3.36 % 18.02/3.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 18.02/3.36 % 18.02/3.37 % SZS output start Proof for theBenchmark % 18.02/3.37 Assumptions after simplification: % 18.02/3.37 --------------------------------- % 18.02/3.38 % 18.02/3.38 (sn_cure_1) % 18.02/3.43 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (qilt27(v0) = 0) | ~ % 18.02/3.43 (conditionnormo(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ? [v4: % 18.02/3.43 int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ? [v8: $i] : ? [v9: % 18.02/3.43 int] : ? [v10: int] : ($i(v8) & $i(v5) & ((v6 = 0 & ~ (v7 = 0) & % 18.02/3.44 conditionhyper(v5) = v7 & gt(v0, v5) = 0) | (v4 = 0 & gt(v0, v1) = 0) % 18.02/3.44 | ( ~ (v10 = 0) & ~ (v9 = 0) & bsecretioni(v8) = v10 & gt(v0, v8) = v9) % 18.02/3.44 | ( ~ (v3 = 0) & bcapacitysn(v0) = v3)))) & ! [v0: $i] : ! [v1: $i] : % 18.02/3.44 ! [v2: int] : (v2 = 0 | ~ (qilt27(v0) = 0) | ~ (gt(v0, v1) = v2) | ~ $i(v1) % 18.02/3.44 | ~ $i(v0) | ? [v3: int] : ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? % 18.02/3.44 [v7: int] : ? [v8: $i] : ? [v9: int] : ? [v10: int] : ($i(v8) & $i(v5) & % 18.02/3.44 ((v6 = 0 & ~ (v7 = 0) & conditionhyper(v5) = v7 & gt(v0, v5) = 0) | (v4 = % 18.02/3.44 0 & conditionnormo(v1) = 0) | ( ~ (v10 = 0) & ~ (v9 = 0) & % 18.02/3.44 bsecretioni(v8) = v10 & gt(v0, v8) = v9) | ( ~ (v3 = 0) & % 18.02/3.44 bcapacitysn(v0) = v3)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : % 18.02/3.44 (v2 = 0 | ~ (conditionnormo(v1) = v2) | ~ (bcapacitysn(v0) = 0) | ~ $i(v1) % 18.02/3.44 | ~ $i(v0) | ? [v3: int] : ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? % 18.02/3.44 [v7: int] : ? [v8: $i] : ? [v9: int] : ? [v10: int] : ($i(v8) & $i(v5) & % 18.02/3.44 ((v6 = 0 & ~ (v7 = 0) & conditionhyper(v5) = v7 & gt(v0, v5) = 0) | (v4 = % 18.02/3.44 0 & gt(v0, v1) = 0) | ( ~ (v10 = 0) & ~ (v9 = 0) & bsecretioni(v8) = % 18.02/3.44 v10 & gt(v0, v8) = v9) | ( ~ (v3 = 0) & qilt27(v0) = v3)))) & ! [v0: % 18.02/3.44 $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (bcapacitysn(v0) = 0) | ~ % 18.02/3.44 (gt(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ? [v4: int] : ? % 18.02/3.44 [v5: $i] : ? [v6: int] : ? [v7: int] : ? [v8: $i] : ? [v9: int] : ? % 18.02/3.44 [v10: int] : ($i(v8) & $i(v5) & ((v6 = 0 & ~ (v7 = 0) & conditionhyper(v5) % 18.02/3.44 = v7 & gt(v0, v5) = 0) | (v4 = 0 & conditionnormo(v1) = 0) | ( ~ (v10 % 18.02/3.44 = 0) & ~ (v9 = 0) & bsecretioni(v8) = v10 & gt(v0, v8) = v9) | ( ~ % 18.02/3.44 (v3 = 0) & qilt27(v0) = v3)))) % 18.02/3.44 % 18.02/3.44 (sulfonylurea_effect) % 18.02/3.44 ! [v0: $i] : ! [v1: int] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | v1 = 0 | % 18.02/3.44 ~ (bsecretioni(v2) = v3) | ~ (bcapacityex(v0) = v1) | ~ $i(v2) | ~ $i(v0) % 18.02/3.44 | ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ($i(v5) & ((v4 % 18.02/3.44 = 0 & gt(v0, v2) = 0) | ( ~ (v7 = 0) & ~ (v6 = 0) & drugsu(v5) = v7 & % 18.02/3.44 gt(v0, v5) = v6)))) & ! [v0: $i] : ! [v1: int] : ! [v2: $i] : ! % 18.02/3.44 [v3: int] : (v3 = 0 | v1 = 0 | ~ (bcapacityex(v0) = v1) | ~ (gt(v0, v2) = % 18.02/3.44 v3) | ~ $i(v2) | ~ $i(v0) | ? [v4: int] : ? [v5: $i] : ? [v6: int] : % 18.02/3.44 ? [v7: int] : ($i(v5) & ((v4 = 0 & bsecretioni(v2) = 0) | ( ~ (v7 = 0) & ~ % 18.02/3.44 (v6 = 0) & drugsu(v5) = v7 & gt(v0, v5) = v6)))) % 18.02/3.44 % 18.02/3.44 (treatmentsn2) % 18.02/3.45 $i(n0) & ? [v0: $i] : ? [v1: int] : ? [v2: int] : ( ~ (v2 = 0) & ~ (v1 = % 18.02/3.45 0) & qilt27(n0) = 0 & conditionnormo(v0) = v2 & bcapacitysn(n0) = 0 & % 18.02/3.45 gt(n0, v0) = v1 & $i(v0) & ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ % 18.02/3.45 (drugsu(v3) = v4) | ~ $i(v3) | gt(n0, v3) = 0) & ! [v3: $i] : ! [v4: % 18.02/3.45 int] : (v4 = 0 | ~ (conditionhyper(v3) = v4) | ~ $i(v3) | ? [v5: int] : % 18.02/3.45 ( ~ (v5 = 0) & gt(n0, v3) = v5)) & ! [v3: $i] : ! [v4: int] : (v4 = 0 | % 18.02/3.45 ~ (gt(n0, v3) = v4) | ~ $i(v3) | drugsu(v3) = 0) & ! [v3: $i] : ( ~ % 18.02/3.45 (gt(n0, v3) = 0) | ~ $i(v3) | conditionhyper(v3) = 0)) % 18.02/3.45 % 18.02/3.45 (xorcapacity4) % 18.02/3.45 ! [v0: $i] : ( ~ (bcapacitysn(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = % 18.02/3.45 0) & bcapacityex(v0) = v1)) & ! [v0: $i] : ( ~ (bcapacityex(v0) = 0) | % 18.02/3.45 ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & bcapacitysn(v0) = v1)) % 18.02/3.45 % 18.02/3.45 (function-axioms) % 18.02/3.46 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 18.02/3.46 [v3: $i] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0: % 18.02/3.46 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 18.02/3.46 ~ (qilt27(v2) = v1) | ~ (qilt27(v2) = v0)) & ! [v0: MultipleValueBool] : % 18.02/3.46 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (drugbg(v2) = v1) | ~ % 18.02/3.46 (drugbg(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 18.02/3.46 : ! [v2: $i] : (v1 = v0 | ~ (bsecretioni(v2) = v1) | ~ (bsecretioni(v2) = % 18.02/3.46 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 18.02/3.46 $i] : (v1 = v0 | ~ (drugsu(v2) = v1) | ~ (drugsu(v2) = v0)) & ! [v0: % 18.02/3.46 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 18.02/3.46 ~ (releaselg(v2) = v1) | ~ (releaselg(v2) = v0)) & ! [v0: % 18.02/3.46 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 18.02/3.46 ~ (uptakelg(v2) = v1) | ~ (uptakelg(v2) = v0)) & ! [v0: MultipleValueBool] % 18.02/3.46 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (uptakepg(v2) = v1) % 18.02/3.46 | ~ (uptakepg(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 18.02/3.46 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (drugi(v2) = v1) | ~ % 18.02/3.46 (drugi(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 18.02/3.46 : ! [v2: $i] : (v1 = v0 | ~ (conditionnormo(v2) = v1) | ~ % 18.02/3.46 (conditionnormo(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 18.02/3.46 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (conditionhyper(v2) = v1) | % 18.02/3.46 ~ (conditionhyper(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 18.02/3.46 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (conditionhypo(v2) = v1) | % 18.02/3.46 ~ (conditionhypo(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 18.02/3.46 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (bcapacitysn(v2) = v1) | ~ % 18.02/3.46 (bcapacitysn(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 18.02/3.46 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (bcapacityne(v2) = v1) | ~ % 18.02/3.46 (bcapacityne(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 18.02/3.46 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (bcapacityex(v2) = v1) | ~ % 18.02/3.46 (bcapacityex(v2) = v0)) % 18.02/3.47 % 18.02/3.47 Further assumptions not needed in the proof: % 18.02/3.47 -------------------------------------------- % 18.02/3.47 biguanide_effect, ex_cure, insulin_effect, irreflexivity_gt, liver_glucose, % 18.02/3.47 ne_cure, sn_cure_2, transitivity_gt, xorcapacity1, xorcapacity2, xorcapacity3, % 18.02/3.47 xorcondition1, xorcondition2, xorcondition3, xorcondition4 % 18.02/3.47 % 18.02/3.47 Those formulas are unsatisfiable: % 18.02/3.47 --------------------------------- % 18.02/3.47 % 18.02/3.47 Begin of proof % 18.02/3.47 | % 18.02/3.47 | ALPHA: (xorcapacity4) implies: % 18.02/3.47 | (1) ! [v0: $i] : ( ~ (bcapacitysn(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( % 18.02/3.47 | ~ (v1 = 0) & bcapacityex(v0) = v1)) % 18.02/3.47 | % 18.02/3.47 | ALPHA: (sulfonylurea_effect) implies: % 18.02/3.47 | (2) ! [v0: $i] : ! [v1: int] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | v1 % 18.02/3.47 | = 0 | ~ (bcapacityex(v0) = v1) | ~ (gt(v0, v2) = v3) | ~ $i(v2) | % 18.02/3.47 | ~ $i(v0) | ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : % 18.02/3.47 | ($i(v5) & ((v4 = 0 & bsecretioni(v2) = 0) | ( ~ (v7 = 0) & ~ (v6 = % 18.02/3.47 | 0) & drugsu(v5) = v7 & gt(v0, v5) = v6)))) % 18.02/3.47 | % 18.02/3.47 | ALPHA: (sn_cure_1) implies: % 18.02/3.48 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 18.02/3.48 | (bcapacitysn(v0) = 0) | ~ (gt(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) % 18.02/3.48 | | ? [v3: int] : ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? [v7: % 18.02/3.48 | int] : ? [v8: $i] : ? [v9: int] : ? [v10: int] : ($i(v8) & % 18.02/3.48 | $i(v5) & ((v6 = 0 & ~ (v7 = 0) & conditionhyper(v5) = v7 & gt(v0, % 18.02/3.48 | v5) = 0) | (v4 = 0 & conditionnormo(v1) = 0) | ( ~ (v10 = 0) % 18.02/3.48 | & ~ (v9 = 0) & bsecretioni(v8) = v10 & gt(v0, v8) = v9) | ( ~ % 18.02/3.48 | (v3 = 0) & qilt27(v0) = v3)))) % 18.02/3.48 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (qilt27(v0) = % 18.02/3.48 | 0) | ~ (gt(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : % 18.02/3.48 | ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ? [v8: $i] % 18.02/3.48 | : ? [v9: int] : ? [v10: int] : ($i(v8) & $i(v5) & ((v6 = 0 & ~ (v7 % 18.02/3.48 | = 0) & conditionhyper(v5) = v7 & gt(v0, v5) = 0) | (v4 = 0 & % 18.02/3.48 | conditionnormo(v1) = 0) | ( ~ (v10 = 0) & ~ (v9 = 0) & % 18.02/3.48 | bsecretioni(v8) = v10 & gt(v0, v8) = v9) | ( ~ (v3 = 0) & % 18.02/3.48 | bcapacitysn(v0) = v3)))) % 18.02/3.48 | % 18.02/3.48 | ALPHA: (treatmentsn2) implies: % 18.02/3.48 | (5) $i(n0) % 18.02/3.48 | (6) ? [v0: $i] : ? [v1: int] : ? [v2: int] : ( ~ (v2 = 0) & ~ (v1 = 0) % 18.02/3.48 | & qilt27(n0) = 0 & conditionnormo(v0) = v2 & bcapacitysn(n0) = 0 & % 18.02/3.48 | gt(n0, v0) = v1 & $i(v0) & ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ % 18.02/3.48 | (drugsu(v3) = v4) | ~ $i(v3) | gt(n0, v3) = 0) & ! [v3: $i] : ! % 18.02/3.48 | [v4: int] : (v4 = 0 | ~ (conditionhyper(v3) = v4) | ~ $i(v3) | ? % 18.02/3.48 | [v5: int] : ( ~ (v5 = 0) & gt(n0, v3) = v5)) & ! [v3: $i] : ! % 18.02/3.48 | [v4: int] : (v4 = 0 | ~ (gt(n0, v3) = v4) | ~ $i(v3) | drugsu(v3) = % 18.02/3.48 | 0) & ! [v3: $i] : ( ~ (gt(n0, v3) = 0) | ~ $i(v3) | % 18.02/3.48 | conditionhyper(v3) = 0)) % 18.02/3.48 | % 18.02/3.48 | ALPHA: (function-axioms) implies: % 18.02/3.49 | (7) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 18.02/3.49 | (v1 = v0 | ~ (bcapacitysn(v2) = v1) | ~ (bcapacitysn(v2) = v0)) % 18.59/3.49 | (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 18.59/3.49 | (v1 = v0 | ~ (conditionhyper(v2) = v1) | ~ (conditionhyper(v2) = v0)) % 18.59/3.49 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 18.59/3.49 | (v1 = v0 | ~ (conditionnormo(v2) = v1) | ~ (conditionnormo(v2) = v0)) % 18.59/3.49 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 18.59/3.49 | : (v1 = v0 | ~ (bsecretioni(v2) = v1) | ~ (bsecretioni(v2) = v0)) % 18.59/3.49 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 18.59/3.49 | : (v1 = v0 | ~ (qilt27(v2) = v1) | ~ (qilt27(v2) = v0)) % 18.59/3.49 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 18.59/3.49 | : ! [v3: $i] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = % 18.59/3.49 | v0)) % 18.59/3.49 | % 18.59/3.49 | DELTA: instantiating (6) with fresh symbols all_28_0, all_28_1, all_28_2 % 18.59/3.49 | gives: % 18.59/3.49 | (13) ~ (all_28_0 = 0) & ~ (all_28_1 = 0) & qilt27(n0) = 0 & % 18.59/3.49 | conditionnormo(all_28_2) = all_28_0 & bcapacitysn(n0) = 0 & gt(n0, % 18.59/3.49 | all_28_2) = all_28_1 & $i(all_28_2) & ! [v0: $i] : ! [v1: int] : % 18.59/3.49 | (v1 = 0 | ~ (drugsu(v0) = v1) | ~ $i(v0) | gt(n0, v0) = 0) & ! [v0: % 18.59/3.49 | $i] : ! [v1: int] : (v1 = 0 | ~ (conditionhyper(v0) = v1) | ~ % 18.59/3.49 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & gt(n0, v0) = v2)) & ! [v0: % 18.59/3.49 | $i] : ! [v1: int] : (v1 = 0 | ~ (gt(n0, v0) = v1) | ~ $i(v0) | % 18.59/3.49 | drugsu(v0) = 0) & ! [v0: $i] : ( ~ (gt(n0, v0) = 0) | ~ $i(v0) | % 18.59/3.49 | conditionhyper(v0) = 0) % 18.59/3.49 | % 18.59/3.49 | ALPHA: (13) implies: % 18.59/3.49 | (14) ~ (all_28_1 = 0) % 18.59/3.49 | (15) ~ (all_28_0 = 0) % 18.59/3.49 | (16) $i(all_28_2) % 18.59/3.49 | (17) gt(n0, all_28_2) = all_28_1 % 18.59/3.49 | (18) bcapacitysn(n0) = 0 % 18.59/3.49 | (19) conditionnormo(all_28_2) = all_28_0 % 18.59/3.49 | (20) qilt27(n0) = 0 % 18.59/3.49 | (21) ! [v0: $i] : ( ~ (gt(n0, v0) = 0) | ~ $i(v0) | conditionhyper(v0) = % 18.59/3.49 | 0) % 18.59/3.49 | (22) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (drugsu(v0) = v1) | ~ % 18.59/3.49 | $i(v0) | gt(n0, v0) = 0) % 18.59/3.49 | % 18.59/3.50 | GROUND_INST: instantiating (3) with n0, all_28_2, all_28_1, simplifying with % 18.59/3.50 | (5), (16), (17), (18) gives: % 18.59/3.50 | (23) all_28_1 = 0 | ? [v0: int] : ? [v1: int] : ? [v2: $i] : ? [v3: % 18.59/3.50 | int] : ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : % 18.59/3.50 | ($i(v5) & $i(v2) & ((v3 = 0 & ~ (v4 = 0) & conditionhyper(v2) = v4 & % 18.59/3.50 | gt(n0, v2) = 0) | (v1 = 0 & conditionnormo(all_28_2) = 0) | ( ~ % 18.59/3.50 | (v7 = 0) & ~ (v6 = 0) & bsecretioni(v5) = v7 & gt(n0, v5) = v6) % 18.59/3.50 | | ( ~ (v0 = 0) & qilt27(n0) = v0))) % 18.59/3.50 | % 18.59/3.50 | GROUND_INST: instantiating (1) with n0, simplifying with (5), (18) gives: % 18.59/3.50 | (24) ? [v0: int] : ( ~ (v0 = 0) & bcapacityex(n0) = v0) % 18.59/3.50 | % 18.59/3.50 | GROUND_INST: instantiating (4) with n0, all_28_2, all_28_1, simplifying with % 18.59/3.50 | (5), (16), (17), (20) gives: % 18.59/3.50 | (25) all_28_1 = 0 | ? [v0: int] : ? [v1: int] : ? [v2: $i] : ? [v3: % 18.59/3.50 | int] : ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : % 18.59/3.50 | ($i(v5) & $i(v2) & ((v3 = 0 & ~ (v4 = 0) & conditionhyper(v2) = v4 & % 18.59/3.50 | gt(n0, v2) = 0) | (v1 = 0 & conditionnormo(all_28_2) = 0) | ( ~ % 18.59/3.50 | (v7 = 0) & ~ (v6 = 0) & bsecretioni(v5) = v7 & gt(n0, v5) = v6) % 18.59/3.50 | | ( ~ (v0 = 0) & bcapacitysn(n0) = v0))) % 18.59/3.50 | % 18.59/3.50 | DELTA: instantiating (24) with fresh symbol all_36_0 gives: % 18.59/3.50 | (26) ~ (all_36_0 = 0) & bcapacityex(n0) = all_36_0 % 18.59/3.50 | % 18.59/3.50 | ALPHA: (26) implies: % 18.59/3.50 | (27) ~ (all_36_0 = 0) % 18.59/3.50 | (28) bcapacityex(n0) = all_36_0 % 18.59/3.50 | % 18.59/3.50 | BETA: splitting (25) gives: % 18.59/3.50 | % 18.59/3.50 | Case 1: % 18.59/3.50 | | % 18.59/3.50 | | (29) all_28_1 = 0 % 18.59/3.50 | | % 18.59/3.50 | | REDUCE: (14), (29) imply: % 18.59/3.50 | | (30) $false % 18.59/3.50 | | % 18.59/3.50 | | CLOSE: (30) is inconsistent. % 18.59/3.50 | | % 18.59/3.50 | Case 2: % 18.59/3.50 | | % 18.59/3.50 | | (31) ? [v0: int] : ? [v1: int] : ? [v2: $i] : ? [v3: int] : ? [v4: % 18.59/3.50 | | int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ($i(v5) & % 18.59/3.50 | | $i(v2) & ((v3 = 0 & ~ (v4 = 0) & conditionhyper(v2) = v4 & gt(n0, % 18.59/3.50 | | v2) = 0) | (v1 = 0 & conditionnormo(all_28_2) = 0) | ( ~ (v7 % 18.59/3.50 | | = 0) & ~ (v6 = 0) & bsecretioni(v5) = v7 & gt(n0, v5) = v6) % 18.59/3.50 | | | ( ~ (v0 = 0) & bcapacitysn(n0) = v0))) % 18.59/3.50 | | % 18.59/3.50 | | DELTA: instantiating (31) with fresh symbols all_57_0, all_57_1, all_57_2, % 18.59/3.50 | | all_57_3, all_57_4, all_57_5, all_57_6, all_57_7 gives: % 18.59/3.50 | | (32) $i(all_57_2) & $i(all_57_5) & ((all_57_4 = 0 & ~ (all_57_3 = 0) & % 18.59/3.50 | | conditionhyper(all_57_5) = all_57_3 & gt(n0, all_57_5) = 0) | % 18.59/3.50 | | (all_57_6 = 0 & conditionnormo(all_28_2) = 0) | ( ~ (all_57_0 = 0) % 18.59/3.50 | | & ~ (all_57_1 = 0) & bsecretioni(all_57_2) = all_57_0 & gt(n0, % 18.59/3.50 | | all_57_2) = all_57_1) | ( ~ (all_57_7 = 0) & bcapacitysn(n0) = % 18.59/3.51 | | all_57_7)) % 18.59/3.51 | | % 18.59/3.51 | | ALPHA: (32) implies: % 18.59/3.51 | | (33) $i(all_57_5) % 18.59/3.51 | | (34) $i(all_57_2) % 18.59/3.51 | | (35) (all_57_4 = 0 & ~ (all_57_3 = 0) & conditionhyper(all_57_5) = % 18.59/3.51 | | all_57_3 & gt(n0, all_57_5) = 0) | (all_57_6 = 0 & % 18.59/3.51 | | conditionnormo(all_28_2) = 0) | ( ~ (all_57_0 = 0) & ~ (all_57_1 % 18.59/3.51 | | = 0) & bsecretioni(all_57_2) = all_57_0 & gt(n0, all_57_2) = % 18.59/3.51 | | all_57_1) | ( ~ (all_57_7 = 0) & bcapacitysn(n0) = all_57_7) % 18.59/3.51 | | % 18.59/3.51 | | BETA: splitting (23) gives: % 18.59/3.51 | | % 18.59/3.51 | | Case 1: % 18.59/3.51 | | | % 18.59/3.51 | | | (36) all_28_1 = 0 % 18.59/3.51 | | | % 18.59/3.51 | | | REDUCE: (14), (36) imply: % 18.59/3.51 | | | (37) $false % 18.59/3.51 | | | % 18.59/3.51 | | | CLOSE: (37) is inconsistent. % 18.59/3.51 | | | % 18.59/3.51 | | Case 2: % 18.59/3.51 | | | % 18.59/3.51 | | | (38) ? [v0: int] : ? [v1: int] : ? [v2: $i] : ? [v3: int] : ? [v4: % 18.59/3.51 | | | int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ($i(v5) & % 18.59/3.51 | | | $i(v2) & ((v3 = 0 & ~ (v4 = 0) & conditionhyper(v2) = v4 & % 18.59/3.51 | | | gt(n0, v2) = 0) | (v1 = 0 & conditionnormo(all_28_2) = 0) | % 18.59/3.51 | | | ( ~ (v7 = 0) & ~ (v6 = 0) & bsecretioni(v5) = v7 & gt(n0, v5) % 18.59/3.51 | | | = v6) | ( ~ (v0 = 0) & qilt27(n0) = v0))) % 18.59/3.51 | | | % 18.59/3.51 | | | DELTA: instantiating (38) with fresh symbols all_67_0, all_67_1, all_67_2, % 18.59/3.51 | | | all_67_3, all_67_4, all_67_5, all_67_6, all_67_7 gives: % 18.59/3.51 | | | (39) $i(all_67_2) & $i(all_67_5) & ((all_67_4 = 0 & ~ (all_67_3 = 0) & % 18.59/3.51 | | | conditionhyper(all_67_5) = all_67_3 & gt(n0, all_67_5) = 0) | % 18.59/3.51 | | | (all_67_6 = 0 & conditionnormo(all_28_2) = 0) | ( ~ (all_67_0 = % 18.59/3.51 | | | 0) & ~ (all_67_1 = 0) & bsecretioni(all_67_2) = all_67_0 & % 18.59/3.51 | | | gt(n0, all_67_2) = all_67_1) | ( ~ (all_67_7 = 0) & qilt27(n0) % 18.59/3.51 | | | = all_67_7)) % 18.59/3.51 | | | % 18.59/3.51 | | | ALPHA: (39) implies: % 18.59/3.51 | | | (40) $i(all_67_5) % 18.59/3.51 | | | (41) (all_67_4 = 0 & ~ (all_67_3 = 0) & conditionhyper(all_67_5) = % 18.59/3.51 | | | all_67_3 & gt(n0, all_67_5) = 0) | (all_67_6 = 0 & % 18.59/3.51 | | | conditionnormo(all_28_2) = 0) | ( ~ (all_67_0 = 0) & ~ % 18.59/3.51 | | | (all_67_1 = 0) & bsecretioni(all_67_2) = all_67_0 & gt(n0, % 18.59/3.51 | | | all_67_2) = all_67_1) | ( ~ (all_67_7 = 0) & qilt27(n0) = % 18.59/3.51 | | | all_67_7) % 18.59/3.51 | | | % 18.59/3.51 | | | BETA: splitting (35) gives: % 18.59/3.51 | | | % 18.59/3.51 | | | Case 1: % 18.59/3.51 | | | | % 18.59/3.51 | | | | (42) (all_57_4 = 0 & ~ (all_57_3 = 0) & conditionhyper(all_57_5) = % 18.59/3.51 | | | | all_57_3 & gt(n0, all_57_5) = 0) | (all_57_6 = 0 & % 18.59/3.51 | | | | conditionnormo(all_28_2) = 0) % 18.59/3.51 | | | | % 18.59/3.51 | | | | BETA: splitting (42) gives: % 18.59/3.51 | | | | % 18.59/3.51 | | | | Case 1: % 18.59/3.51 | | | | | % 18.59/3.51 | | | | | (43) all_57_4 = 0 & ~ (all_57_3 = 0) & conditionhyper(all_57_5) = % 18.59/3.51 | | | | | all_57_3 & gt(n0, all_57_5) = 0 % 18.59/3.51 | | | | | % 18.59/3.51 | | | | | ALPHA: (43) implies: % 18.59/3.51 | | | | | (44) ~ (all_57_3 = 0) % 18.59/3.51 | | | | | (45) gt(n0, all_57_5) = 0 % 18.59/3.51 | | | | | (46) conditionhyper(all_57_5) = all_57_3 % 18.59/3.51 | | | | | % 18.59/3.51 | | | | | GROUND_INST: instantiating (21) with all_57_5, simplifying with (33), % 18.59/3.51 | | | | | (45) gives: % 18.59/3.51 | | | | | (47) conditionhyper(all_57_5) = 0 % 18.59/3.51 | | | | | % 18.59/3.51 | | | | | GROUND_INST: instantiating (8) with all_57_3, 0, all_57_5, simplifying % 18.59/3.51 | | | | | with (46), (47) gives: % 18.59/3.51 | | | | | (48) all_57_3 = 0 % 18.59/3.51 | | | | | % 18.59/3.51 | | | | | REDUCE: (44), (48) imply: % 18.59/3.51 | | | | | (49) $false % 18.59/3.51 | | | | | % 18.59/3.51 | | | | | CLOSE: (49) is inconsistent. % 18.59/3.51 | | | | | % 18.59/3.51 | | | | Case 2: % 18.59/3.51 | | | | | % 18.59/3.51 | | | | | (50) all_57_6 = 0 & conditionnormo(all_28_2) = 0 % 18.59/3.51 | | | | | % 18.59/3.51 | | | | | ALPHA: (50) implies: % 18.59/3.51 | | | | | (51) conditionnormo(all_28_2) = 0 % 18.59/3.51 | | | | | % 18.59/3.51 | | | | | GROUND_INST: instantiating (9) with all_28_0, 0, all_28_2, simplifying % 18.59/3.51 | | | | | with (19), (51) gives: % 18.59/3.51 | | | | | (52) all_28_0 = 0 % 18.59/3.51 | | | | | % 18.59/3.51 | | | | | REDUCE: (15), (52) imply: % 18.59/3.51 | | | | | (53) $false % 18.59/3.51 | | | | | % 18.59/3.51 | | | | | CLOSE: (53) is inconsistent. % 18.59/3.51 | | | | | % 18.59/3.51 | | | | End of split % 18.59/3.51 | | | | % 18.59/3.51 | | | Case 2: % 18.59/3.51 | | | | % 18.59/3.51 | | | | (54) ( ~ (all_57_0 = 0) & ~ (all_57_1 = 0) & bsecretioni(all_57_2) = % 18.59/3.51 | | | | all_57_0 & gt(n0, all_57_2) = all_57_1) | ( ~ (all_57_7 = 0) & % 18.59/3.51 | | | | bcapacitysn(n0) = all_57_7) % 18.59/3.51 | | | | % 18.59/3.51 | | | | BETA: splitting (54) gives: % 18.59/3.51 | | | | % 18.59/3.51 | | | | Case 1: % 18.59/3.51 | | | | | % 18.59/3.51 | | | | | (55) ~ (all_57_0 = 0) & ~ (all_57_1 = 0) & bsecretioni(all_57_2) % 18.59/3.51 | | | | | = all_57_0 & gt(n0, all_57_2) = all_57_1 % 18.59/3.51 | | | | | % 18.59/3.51 | | | | | ALPHA: (55) implies: % 18.59/3.51 | | | | | (56) ~ (all_57_1 = 0) % 18.59/3.51 | | | | | (57) ~ (all_57_0 = 0) % 18.59/3.51 | | | | | (58) gt(n0, all_57_2) = all_57_1 % 18.59/3.52 | | | | | (59) bsecretioni(all_57_2) = all_57_0 % 18.59/3.52 | | | | | % 18.59/3.52 | | | | | GROUND_INST: instantiating (2) with n0, all_36_0, all_57_2, all_57_1, % 18.59/3.52 | | | | | simplifying with (5), (28), (34), (58) gives: % 18.59/3.52 | | | | | (60) all_57_1 = 0 | all_36_0 = 0 | ? [v0: int] : ? [v1: $i] : ? % 18.59/3.52 | | | | | [v2: int] : ? [v3: int] : ($i(v1) & ((v0 = 0 & % 18.59/3.52 | | | | | bsecretioni(all_57_2) = 0) | ( ~ (v3 = 0) & ~ (v2 = 0) % 18.59/3.52 | | | | | & drugsu(v1) = v3 & gt(n0, v1) = v2))) % 18.59/3.52 | | | | | % 18.59/3.52 | | | | | BETA: splitting (60) gives: % 18.59/3.52 | | | | | % 18.59/3.52 | | | | | Case 1: % 18.59/3.52 | | | | | | % 18.59/3.52 | | | | | | (61) all_57_1 = 0 % 18.59/3.52 | | | | | | % 18.59/3.52 | | | | | | REDUCE: (56), (61) imply: % 18.59/3.52 | | | | | | (62) $false % 18.59/3.52 | | | | | | % 18.59/3.52 | | | | | | CLOSE: (62) is inconsistent. % 18.59/3.52 | | | | | | % 18.59/3.52 | | | | | Case 2: % 18.59/3.52 | | | | | | % 18.59/3.52 | | | | | | (63) all_36_0 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: int] : % 18.59/3.52 | | | | | | ? [v3: int] : ($i(v1) & ((v0 = 0 & bsecretioni(all_57_2) = % 18.59/3.52 | | | | | | 0) | ( ~ (v3 = 0) & ~ (v2 = 0) & drugsu(v1) = v3 & % 18.59/3.52 | | | | | | gt(n0, v1) = v2))) % 18.59/3.52 | | | | | | % 18.59/3.52 | | | | | | BETA: splitting (63) gives: % 18.59/3.52 | | | | | | % 18.59/3.52 | | | | | | Case 1: % 18.59/3.52 | | | | | | | % 18.59/3.52 | | | | | | | (64) all_36_0 = 0 % 18.59/3.52 | | | | | | | % 18.59/3.52 | | | | | | | REDUCE: (27), (64) imply: % 18.59/3.52 | | | | | | | (65) $false % 18.59/3.52 | | | | | | | % 18.59/3.52 | | | | | | | CLOSE: (65) is inconsistent. % 18.59/3.52 | | | | | | | % 18.59/3.52 | | | | | | Case 2: % 18.59/3.52 | | | | | | | % 18.59/3.52 | | | | | | | (66) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: int] : % 18.59/3.52 | | | | | | | ($i(v1) & ((v0 = 0 & bsecretioni(all_57_2) = 0) | ( ~ (v3 % 18.59/3.52 | | | | | | | = 0) & ~ (v2 = 0) & drugsu(v1) = v3 & gt(n0, v1) % 18.59/3.52 | | | | | | | = v2))) % 18.59/3.52 | | | | | | | % 18.59/3.52 | | | | | | | DELTA: instantiating (66) with fresh symbols all_224_0, all_224_1, % 18.59/3.52 | | | | | | | all_224_2, all_224_3 gives: % 18.59/3.52 | | | | | | | (67) $i(all_224_2) & ((all_224_3 = 0 & bsecretioni(all_57_2) = % 18.59/3.52 | | | | | | | 0) | ( ~ (all_224_0 = 0) & ~ (all_224_1 = 0) & % 18.59/3.52 | | | | | | | drugsu(all_224_2) = all_224_0 & gt(n0, all_224_2) = % 18.59/3.52 | | | | | | | all_224_1)) % 18.59/3.52 | | | | | | | % 18.59/3.52 | | | | | | | ALPHA: (67) implies: % 18.59/3.52 | | | | | | | (68) $i(all_224_2) % 18.59/3.52 | | | | | | | (69) (all_224_3 = 0 & bsecretioni(all_57_2) = 0) | ( ~ % 18.59/3.52 | | | | | | | (all_224_0 = 0) & ~ (all_224_1 = 0) & drugsu(all_224_2) % 18.59/3.52 | | | | | | | = all_224_0 & gt(n0, all_224_2) = all_224_1) % 18.59/3.52 | | | | | | | % 18.59/3.52 | | | | | | | BETA: splitting (69) gives: % 18.59/3.52 | | | | | | | % 18.59/3.52 | | | | | | | Case 1: % 18.59/3.52 | | | | | | | | % 18.59/3.52 | | | | | | | | (70) all_224_3 = 0 & bsecretioni(all_57_2) = 0 % 18.59/3.52 | | | | | | | | % 18.59/3.52 | | | | | | | | ALPHA: (70) implies: % 18.59/3.52 | | | | | | | | (71) bsecretioni(all_57_2) = 0 % 18.59/3.52 | | | | | | | | % 18.59/3.52 | | | | | | | | GROUND_INST: instantiating (10) with all_57_0, 0, all_57_2, % 18.59/3.52 | | | | | | | | simplifying with (59), (71) gives: % 18.59/3.52 | | | | | | | | (72) all_57_0 = 0 % 18.59/3.52 | | | | | | | | % 18.59/3.52 | | | | | | | | REDUCE: (57), (72) imply: % 18.59/3.52 | | | | | | | | (73) $false % 18.59/3.52 | | | | | | | | % 18.59/3.52 | | | | | | | | CLOSE: (73) is inconsistent. % 18.59/3.52 | | | | | | | | % 18.59/3.52 | | | | | | | Case 2: % 18.59/3.52 | | | | | | | | % 18.59/3.52 | | | | | | | | (74) ~ (all_224_0 = 0) & ~ (all_224_1 = 0) & % 18.59/3.52 | | | | | | | | drugsu(all_224_2) = all_224_0 & gt(n0, all_224_2) = % 18.59/3.52 | | | | | | | | all_224_1 % 18.59/3.52 | | | | | | | | % 18.59/3.52 | | | | | | | | ALPHA: (74) implies: % 18.59/3.52 | | | | | | | | (75) ~ (all_224_1 = 0) % 18.59/3.52 | | | | | | | | (76) ~ (all_224_0 = 0) % 18.59/3.52 | | | | | | | | (77) gt(n0, all_224_2) = all_224_1 % 18.59/3.52 | | | | | | | | (78) drugsu(all_224_2) = all_224_0 % 18.59/3.52 | | | | | | | | % 18.59/3.52 | | | | | | | | BETA: splitting (41) gives: % 18.59/3.52 | | | | | | | | % 18.59/3.52 | | | | | | | | Case 1: % 18.59/3.52 | | | | | | | | | % 18.59/3.52 | | | | | | | | | (79) (all_67_4 = 0 & ~ (all_67_3 = 0) & % 18.59/3.52 | | | | | | | | | conditionhyper(all_67_5) = all_67_3 & gt(n0, % 18.59/3.52 | | | | | | | | | all_67_5) = 0) | (all_67_6 = 0 & % 18.59/3.52 | | | | | | | | | conditionnormo(all_28_2) = 0) % 18.59/3.52 | | | | | | | | | % 18.59/3.52 | | | | | | | | | BETA: splitting (79) gives: % 18.59/3.52 | | | | | | | | | % 18.59/3.52 | | | | | | | | | Case 1: % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | | (80) all_67_4 = 0 & ~ (all_67_3 = 0) & % 18.59/3.52 | | | | | | | | | | conditionhyper(all_67_5) = all_67_3 & gt(n0, % 18.59/3.52 | | | | | | | | | | all_67_5) = 0 % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | | ALPHA: (80) implies: % 18.59/3.52 | | | | | | | | | | (81) ~ (all_67_3 = 0) % 18.59/3.52 | | | | | | | | | | (82) gt(n0, all_67_5) = 0 % 18.59/3.52 | | | | | | | | | | (83) conditionhyper(all_67_5) = all_67_3 % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | | GROUND_INST: instantiating (21) with all_67_5, simplifying with % 18.59/3.52 | | | | | | | | | | (40), (82) gives: % 18.59/3.52 | | | | | | | | | | (84) conditionhyper(all_67_5) = 0 % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | | GROUND_INST: instantiating (8) with all_67_3, 0, all_67_5, % 18.59/3.52 | | | | | | | | | | simplifying with (83), (84) gives: % 18.59/3.52 | | | | | | | | | | (85) all_67_3 = 0 % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | | REDUCE: (81), (85) imply: % 18.59/3.52 | | | | | | | | | | (86) $false % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | | CLOSE: (86) is inconsistent. % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | Case 2: % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | | (87) all_67_6 = 0 & conditionnormo(all_28_2) = 0 % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | | ALPHA: (87) implies: % 18.59/3.52 | | | | | | | | | | (88) conditionnormo(all_28_2) = 0 % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | | GROUND_INST: instantiating (9) with all_28_0, 0, all_28_2, % 18.59/3.52 | | | | | | | | | | simplifying with (19), (88) gives: % 18.59/3.52 | | | | | | | | | | (89) all_28_0 = 0 % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | | REDUCE: (15), (89) imply: % 18.59/3.52 | | | | | | | | | | (90) $false % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | | CLOSE: (90) is inconsistent. % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | End of split % 18.59/3.52 | | | | | | | | | % 18.59/3.52 | | | | | | | | Case 2: % 18.59/3.52 | | | | | | | | | % 18.59/3.52 | | | | | | | | | (91) ( ~ (all_67_0 = 0) & ~ (all_67_1 = 0) & % 18.59/3.52 | | | | | | | | | bsecretioni(all_67_2) = all_67_0 & gt(n0, all_67_2) % 18.59/3.52 | | | | | | | | | = all_67_1) | ( ~ (all_67_7 = 0) & qilt27(n0) = % 18.59/3.52 | | | | | | | | | all_67_7) % 18.59/3.52 | | | | | | | | | % 18.59/3.52 | | | | | | | | | BETA: splitting (91) gives: % 18.59/3.52 | | | | | | | | | % 18.59/3.52 | | | | | | | | | Case 1: % 18.59/3.52 | | | | | | | | | | % 18.59/3.52 | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | GROUND_INST: instantiating (22) with all_224_2, all_224_0, % 18.59/3.53 | | | | | | | | | | simplifying with (68), (78) gives: % 18.59/3.53 | | | | | | | | | | (92) all_224_0 = 0 | gt(n0, all_224_2) = 0 % 18.59/3.53 | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | BETA: splitting (92) gives: % 18.59/3.53 | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | Case 1: % 18.59/3.53 | | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | | (93) gt(n0, all_224_2) = 0 % 18.59/3.53 | | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | | GROUND_INST: instantiating (12) with all_224_1, 0, all_224_2, % 18.59/3.53 | | | | | | | | | | | n0, simplifying with (77), (93) gives: % 18.59/3.53 | | | | | | | | | | | (94) all_224_1 = 0 % 18.59/3.53 | | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | | REDUCE: (75), (94) imply: % 18.59/3.53 | | | | | | | | | | | (95) $false % 18.59/3.53 | | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | | CLOSE: (95) is inconsistent. % 18.59/3.53 | | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | Case 2: % 18.59/3.53 | | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | | (96) all_224_0 = 0 % 18.59/3.53 | | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | | REDUCE: (76), (96) imply: % 18.59/3.53 | | | | | | | | | | | (97) $false % 18.59/3.53 | | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | | CLOSE: (97) is inconsistent. % 18.59/3.53 | | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | End of split % 18.59/3.53 | | | | | | | | | | % 18.59/3.53 | | | | | | | | | Case 2: % 18.59/3.53 | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | (98) ~ (all_67_7 = 0) & qilt27(n0) = all_67_7 % 18.59/3.53 | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | ALPHA: (98) implies: % 18.59/3.53 | | | | | | | | | | (99) ~ (all_67_7 = 0) % 18.59/3.53 | | | | | | | | | | (100) qilt27(n0) = all_67_7 % 18.59/3.53 | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_67_7, n0, % 18.59/3.53 | | | | | | | | | | simplifying with (20), (100) gives: % 18.59/3.53 | | | | | | | | | | (101) all_67_7 = 0 % 18.59/3.53 | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | REDUCE: (99), (101) imply: % 18.59/3.53 | | | | | | | | | | (102) $false % 18.59/3.53 | | | | | | | | | | % 18.59/3.53 | | | | | | | | | | CLOSE: (102) is inconsistent. % 18.59/3.53 | | | | | | | | | | % 18.59/3.53 | | | | | | | | | End of split % 18.59/3.53 | | | | | | | | | % 18.59/3.53 | | | | | | | | End of split % 18.59/3.53 | | | | | | | | % 18.59/3.53 | | | | | | | End of split % 18.59/3.53 | | | | | | | % 18.59/3.53 | | | | | | End of split % 18.59/3.53 | | | | | | % 18.59/3.53 | | | | | End of split % 18.59/3.53 | | | | | % 18.59/3.53 | | | | Case 2: % 18.59/3.53 | | | | | % 18.59/3.53 | | | | | (103) ~ (all_57_7 = 0) & bcapacitysn(n0) = all_57_7 % 18.59/3.53 | | | | | % 18.59/3.53 | | | | | ALPHA: (103) implies: % 18.59/3.53 | | | | | (104) ~ (all_57_7 = 0) % 18.59/3.53 | | | | | (105) bcapacitysn(n0) = all_57_7 % 18.59/3.53 | | | | | % 18.59/3.53 | | | | | GROUND_INST: instantiating (7) with 0, all_57_7, n0, simplifying with % 18.59/3.53 | | | | | (18), (105) gives: % 18.59/3.53 | | | | | (106) all_57_7 = 0 % 18.59/3.53 | | | | | % 18.59/3.53 | | | | | REDUCE: (104), (106) imply: % 18.59/3.53 | | | | | (107) $false % 18.59/3.53 | | | | | % 18.59/3.53 | | | | | CLOSE: (107) is inconsistent. % 18.59/3.53 | | | | | % 18.59/3.53 | | | | End of split % 18.59/3.53 | | | | % 18.59/3.53 | | | End of split % 18.59/3.53 | | | % 18.59/3.53 | | End of split % 18.59/3.53 | | % 18.59/3.53 | End of split % 18.59/3.53 | % 18.59/3.53 End of proof % 18.59/3.53 % SZS output end Proof for theBenchmark % 18.59/3.53 % 18.59/3.53 2913ms %------------------------------------------------------------------------------