%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWC020+1 : TPTP v8.1.2. Released v2.4.0. % 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 20:49:13 EDT 2023 % Result : Theorem 28.89s 4.65s % Output : Proof 185.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWC020+1 : TPTP v8.1.2. Released v2.4.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n022.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Mon Aug 28 18:06:54 EDT 2023 % 0.14/0.35 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.62 % 0.19/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.62 (2023-06-19) % 0.19/0.62 % 0.19/0.62 (c) Philipp Rümmer, 2009-2023 % 0.19/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.62 Amanda Stjerna. % 0.19/0.62 Free software under BSD-3-Clause. % 0.19/0.62 % 0.19/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.62 % 0.19/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.63 Running up to 7 provers in parallel. % 0.54/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.54/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.54/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.54/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.54/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.54/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.54/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 5.36/1.56 Prover 1: Preprocessing ... % 5.36/1.56 Prover 4: Preprocessing ... % 6.08/1.60 Prover 5: Preprocessing ... % 6.08/1.60 Prover 0: Preprocessing ... % 6.08/1.60 Prover 6: Preprocessing ... % 6.08/1.60 Prover 2: Preprocessing ... % 6.08/1.60 Prover 3: Preprocessing ... % 15.61/2.91 Prover 2: Proving ... % 16.90/3.03 Prover 1: Constructing countermodel ... % 16.90/3.03 Prover 5: Constructing countermodel ... % 16.90/3.07 Prover 3: Constructing countermodel ... % 16.90/3.10 Prover 6: Proving ... % 21.84/3.74 Prover 4: Constructing countermodel ... % 24.03/4.04 Prover 0: Proving ... % 28.89/4.65 Prover 3: proved (3996ms) % 28.89/4.65 % 28.89/4.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 28.89/4.65 % 28.89/4.65 Prover 2: stopped % 28.89/4.65 Prover 6: stopped % 29.09/4.66 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 29.09/4.66 Prover 5: stopped % 29.09/4.68 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 29.09/4.68 Prover 0: stopped % 29.09/4.69 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 29.09/4.69 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 29.09/4.69 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 30.71/4.90 Prover 11: Preprocessing ... % 30.71/4.95 Prover 10: Preprocessing ... % 30.71/4.97 Prover 13: Preprocessing ... % 30.71/5.03 Prover 8: Preprocessing ... % 31.43/5.04 Prover 7: Preprocessing ... % 32.60/5.15 Prover 10: Constructing countermodel ... % 32.87/5.21 Prover 7: Constructing countermodel ... % 34.25/5.36 Prover 8: Warning: ignoring some quantifiers % 34.47/5.37 Prover 8: Constructing countermodel ... % 34.47/5.42 Prover 13: Constructing countermodel ... % 40.79/6.28 Prover 11: Constructing countermodel ... % 69.39/9.90 Prover 13: stopped % 69.91/9.92 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 71.19/10.08 Prover 16: Preprocessing ... % 71.79/10.22 Prover 16: Constructing countermodel ... % 112.29/15.48 Prover 16: stopped % 112.29/15.48 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 112.94/15.56 Prover 19: Preprocessing ... % 116.53/15.98 Prover 1: stopped % 117.18/16.06 Prover 19: Warning: ignoring some quantifiers % 117.41/16.11 Prover 19: Constructing countermodel ... % 139.02/19.21 Prover 19: stopped % 184.80/27.58 Prover 8: Found proof (size 323) % 184.80/27.58 Prover 8: proved (22829ms) % 184.80/27.58 Prover 7: stopped % 184.80/27.58 Prover 10: stopped % 184.80/27.58 Prover 4: stopped % 184.80/27.60 Prover 11: stopped % 184.80/27.60 % 184.80/27.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 184.80/27.60 % 184.80/27.62 % SZS output start Proof for theBenchmark % 184.80/27.62 Assumptions after simplification: % 184.80/27.62 --------------------------------- % 184.80/27.62 % 184.80/27.62 (ax15) % 185.15/27.65 ! [v0: $i] : ( ~ (ssList(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ! [v2: any] : % 185.15/27.65 ( ~ (neq(v0, v1) = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & % 185.15/27.65 ssList(v1) = v3) | (( ~ (v2 = 0) | ~ (v1 = v0)) & (v2 = 0 | v1 = v0)))) % 185.15/27.65 % 185.15/27.65 (ax17) % 185.15/27.65 ssList(nil) = 0 & $i(nil) % 185.15/27.65 % 185.15/27.65 (ax19) % 185.15/27.65 ! [v0: $i] : ( ~ (ssList(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ( ~ (ssList(v1) % 185.15/27.65 = 0) | ~ $i(v1) | ! [v2: $i] : ! [v3: $i] : ( ~ (cons(v2, v0) = v3) | % 185.15/27.65 ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) & ssItem(v2) = v4) | ! [v4: $i] % 185.15/27.65 : ( ~ (cons(v4, v1) = v3) | ~ $i(v4) | ? [v5: int] : ( ~ (v5 = 0) & % 185.15/27.65 ssItem(v4) = v5) | (v4 = v2 & v1 = v0))))) % 185.15/27.65 % 185.15/27.65 (ax20) % 185.15/27.66 $i(nil) & ! [v0: $i] : (v0 = nil | ~ (ssList(v0) = 0) | ~ $i(v0) | ? [v1: % 185.15/27.66 $i] : (ssList(v1) = 0 & $i(v1) & ? [v2: $i] : (cons(v2, v1) = v0 & % 185.15/27.66 ssItem(v2) = 0 & $i(v2)))) % 185.15/27.66 % 185.15/27.66 (ax23) % 185.15/27.66 ! [v0: $i] : ( ~ (ssList(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ! [v2: $i] : ( % 185.15/27.66 ~ (cons(v1, v0) = v2) | ~ $i(v1) | ? [v3: any] : ? [v4: $i] : (hd(v2) = % 185.15/27.66 v4 & ssItem(v1) = v3 & $i(v4) & ( ~ (v3 = 0) | v4 = v1)))) % 185.15/27.66 % 185.15/27.66 (ax25) % 185.15/27.66 ! [v0: $i] : ( ~ (ssList(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ! [v2: $i] : ( % 185.15/27.66 ~ (cons(v1, v0) = v2) | ~ $i(v1) | ? [v3: any] : ? [v4: $i] : (tl(v2) = % 185.15/27.66 v4 & ssItem(v1) = v3 & $i(v4) & ( ~ (v3 = 0) | v4 = v0)))) % 185.15/27.66 % 185.15/27.66 (ax41) % 185.15/27.66 ! [v0: $i] : ( ~ (ssList(v0) = 0) | ~ $i(v0) | ! [v1: $i] : (v1 = v0 | ~ % 185.15/27.66 (frontsegP(v0, v1) = 0) | ~ $i(v1) | ? [v2: any] : ? [v3: any] : % 185.15/27.66 (frontsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))) % 185.15/27.66 % 185.15/27.66 (ax42) % 185.15/27.66 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (frontsegP(v0, v0) = v1) | ~ $i(v0) % 185.15/27.66 | ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2)) % 185.15/27.66 % 185.15/27.66 (ax44) % 185.15/27.67 ! [v0: $i] : ( ~ (ssItem(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ( ~ (ssItem(v1) % 185.15/27.67 = 0) | ~ $i(v1) | ! [v2: $i] : ! [v3: $i] : ( ~ (cons(v0, v2) = v3) | % 185.15/27.67 ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) & ssList(v2) = v4) | ! [v4: $i] % 185.15/27.67 : ! [v5: $i] : ! [v6: any] : ( ~ (frontsegP(v3, v5) = v6) | ~ % 185.15/27.67 (cons(v1, v4) = v5) | ~ $i(v4) | ? [v7: any] : ? [v8: any] : % 185.15/27.67 (frontsegP(v2, v4) = v8 & ssList(v4) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = % 185.15/27.67 0) | ~ (v1 = v0) | v6 = 0) & ( ~ (v6 = 0) | (v8 = 0 & v1 = % 185.15/27.67 v0))))))))) % 185.15/27.67 % 185.15/27.67 (ax46) % 185.15/27.67 $i(nil) & ! [v0: $i] : ! [v1: any] : ( ~ (frontsegP(nil, v0) = v1) | ~ % 185.15/27.67 $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2) | (( ~ (v1 = 0) | v0 % 185.15/27.67 = nil) & ( ~ (v0 = nil) | v1 = 0))) % 185.15/27.67 % 185.15/27.67 (ax5) % 185.15/27.67 ! [v0: $i] : ( ~ (ssList(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ! [v2: any] : % 185.15/27.67 ( ~ (frontsegP(v0, v1) = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & % 185.15/27.67 ssList(v1) = v3) | (( ~ (v2 = 0) | ? [v3: $i] : (ssList(v3) = 0 & % 185.15/27.67 app(v1, v3) = v0 & $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (app(v1, % 185.15/27.67 v3) = v0) | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & ssList(v3) % 185.15/27.67 = v4)))))) % 185.15/27.67 % 185.15/27.67 (ax77) % 185.15/27.67 $i(nil) & ! [v0: $i] : ! [v1: $i] : ( ~ (tl(v0) = v1) | ~ $i(v0) | ? [v2: % 185.15/27.67 any] : ? [v3: $i] : (hd(v0) = v3 & ssList(v0) = v2 & $i(v3) & ( ~ (v2 = % 185.15/27.67 0) | ! [v4: $i] : (v4 = v0 | v4 = nil | v0 = nil | ~ (tl(v4) = v1) | % 185.15/27.67 ~ $i(v4) | ? [v5: any] : ? [v6: $i] : (hd(v4) = v6 & ssList(v4) = % 185.15/27.67 v5 & $i(v6) & ( ~ (v6 = v3) | ~ (v5 = 0))))))) % 185.15/27.67 % 185.15/27.67 (co1) % 185.15/27.67 $i(nil) & ? [v0: $i] : (ssList(v0) = 0 & $i(v0) & ? [v1: $i] : (ssList(v1) = % 185.15/27.67 0 & $i(v1) & ? [v2: $i] : ? [v3: any] : (ssList(v2) = 0 & neq(v2, nil) = % 185.15/27.67 v3 & $i(v2) & ? [v4: any] : (v2 = v0 & frontsegP(v1, v0) = v4 & ! [v5: % 185.15/27.67 $i] : ( ~ (neq(v5, nil) = 0) | ~ $i(v5) | ? [v6: any] : ? [v7: % 185.15/27.67 any] : ? [v8: any] : (frontsegP(v1, v5) = v7 & frontsegP(v0, v5) % 185.15/27.67 = v8 & ssList(v5) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = % 185.15/27.67 0)))) & ( ~ (v1 = nil) | ~ (v0 = nil)) & ((v4 = 0 & v3 = 0) | % 185.15/27.67 (v1 = nil & v0 = nil)))))) % 185.15/27.67 % 185.15/27.67 (function-axioms) % 185.32/27.69 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 185.32/27.69 [v3: $i] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0: % 185.32/27.69 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 185.32/27.69 : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0: % 185.32/27.69 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 185.32/27.69 : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0: % 185.32/27.69 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 185.32/27.69 : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0: % 185.32/27.69 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 185.32/27.69 : (v1 = v0 | ~ (segmentP(v3, v2) = v1) | ~ (segmentP(v3, v2) = v0)) & ! % 185.32/27.69 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 185.32/27.69 $i] : (v1 = v0 | ~ (rearsegP(v3, v2) = v1) | ~ (rearsegP(v3, v2) = v0)) & % 185.32/27.69 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 185.32/27.69 $i] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ (frontsegP(v3, v2) = v0)) % 185.32/27.69 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 185.32/27.69 [v3: $i] : (v1 = v0 | ~ (memberP(v3, v2) = v1) | ~ (memberP(v3, v2) = v0)) & % 185.32/27.69 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 185.32/27.69 (cons(v3, v2) = v1) | ~ (cons(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 185.32/27.69 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (app(v3, v2) = v1) | ~ (app(v3, v2) % 185.32/27.69 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 185.32/27.69 $i] : ! [v3: $i] : (v1 = v0 | ~ (neq(v3, v2) = v1) | ~ (neq(v3, v2) = % 185.32/27.69 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (tl(v2) = % 185.32/27.69 v1) | ~ (tl(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 185.32/27.69 v0 | ~ (hd(v2) = v1) | ~ (hd(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 185.32/27.69 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (equalelemsP(v2) = v1) | % 185.32/27.69 ~ (equalelemsP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 185.32/27.69 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (duplicatefreeP(v2) = v1) | % 185.32/27.69 ~ (duplicatefreeP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 185.32/27.69 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (strictorderedP(v2) = v1) | % 185.32/27.69 ~ (strictorderedP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 185.32/27.69 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (totalorderedP(v2) = v1) | % 185.32/27.69 ~ (totalorderedP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 185.32/27.69 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (strictorderP(v2) = v1) | % 185.32/27.69 ~ (strictorderP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 185.32/27.69 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (totalorderP(v2) = v1) | ~ % 185.32/27.69 (totalorderP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 185.32/27.69 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cyclefreeP(v2) = v1) | ~ % 185.32/27.69 (cyclefreeP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 185.32/27.69 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (singletonP(v2) = v1) | ~ % 185.32/27.69 (singletonP(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 185.32/27.69 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ssList(v2) = v1) | ~ % 185.32/27.69 (ssList(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 185.32/27.69 : ! [v2: $i] : (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) & ? % 185.32/27.69 [v0: $i] : ? [v1: $i] : ? [v2: MultipleValueBool] : (gt(v1, v0) = v2) & ? % 185.32/27.69 [v0: $i] : ? [v1: $i] : ? [v2: MultipleValueBool] : (geq(v1, v0) = v2) & ? % 185.32/27.69 [v0: $i] : ? [v1: $i] : ? [v2: MultipleValueBool] : (lt(v1, v0) = v2) & ? % 185.32/27.69 [v0: $i] : ? [v1: $i] : ? [v2: MultipleValueBool] : (leq(v1, v0) = v2) & ? % 185.32/27.69 [v0: $i] : ? [v1: $i] : ? [v2: MultipleValueBool] : (segmentP(v1, v0) = v2) % 185.32/27.69 & ? [v0: $i] : ? [v1: $i] : ? [v2: MultipleValueBool] : (rearsegP(v1, v0) = % 185.32/27.69 v2) & ? [v0: $i] : ? [v1: $i] : ? [v2: MultipleValueBool] : % 185.32/27.69 (frontsegP(v1, v0) = v2) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 185.32/27.69 MultipleValueBool] : (memberP(v1, v0) = v2) & ? [v0: $i] : ? [v1: $i] : ? % 185.32/27.69 [v2: MultipleValueBool] : (neq(v1, v0) = v2) & ? [v0: $i] : ? [v1: $i] : ? % 185.32/27.69 [v2: $i] : (cons(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 185.32/27.69 $i] : (app(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ? [v1: MultipleValueBool] % 185.32/27.69 : (equalelemsP(v0) = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 185.32/27.69 (duplicatefreeP(v0) = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 185.32/27.69 (strictorderedP(v0) = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 185.32/27.69 (totalorderedP(v0) = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 185.32/27.69 (strictorderP(v0) = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 185.32/27.69 (totalorderP(v0) = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 185.32/27.69 (cyclefreeP(v0) = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 185.32/27.69 (singletonP(v0) = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : (ssList(v0) % 185.32/27.69 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : (ssItem(v0) = v1) & ? % 185.32/27.69 [v0: $i] : ? [v1: $i] : (tl(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] : % 185.32/27.69 (hd(v0) = v1 & $i(v1)) % 185.32/27.69 % 185.32/27.69 Further assumptions not needed in the proof: % 185.32/27.69 -------------------------------------------- % 185.32/27.69 ax1, ax10, ax11, ax12, ax13, ax14, ax16, ax18, ax2, ax21, ax22, ax24, ax26, % 185.32/27.69 ax27, ax28, ax29, ax3, ax30, ax31, ax32, ax33, ax34, ax35, ax36, ax37, ax38, % 185.32/27.69 ax39, ax4, ax40, ax43, ax45, ax47, ax48, ax49, ax50, ax51, ax52, ax53, ax54, % 185.32/27.69 ax55, ax56, ax57, ax58, ax59, ax6, ax60, ax61, ax62, ax63, ax64, ax65, ax66, % 185.32/27.69 ax67, ax68, ax69, ax7, ax70, ax71, ax72, ax73, ax74, ax75, ax76, ax78, ax79, % 185.32/27.69 ax8, ax80, ax81, ax82, ax83, ax84, ax85, ax86, ax87, ax88, ax89, ax9, ax90, % 185.32/27.69 ax91, ax92, ax93, ax94, ax95 % 185.32/27.69 % 185.32/27.69 Those formulas are unsatisfiable: % 185.32/27.69 --------------------------------- % 185.32/27.69 % 185.32/27.69 Begin of proof % 185.32/27.69 | % 185.32/27.69 | ALPHA: (ax17) implies: % 185.32/27.69 | (1) ssList(nil) = 0 % 185.32/27.69 | % 185.32/27.69 | ALPHA: (ax20) implies: % 185.32/27.69 | (2) ! [v0: $i] : (v0 = nil | ~ (ssList(v0) = 0) | ~ $i(v0) | ? [v1: $i] % 185.32/27.69 | : (ssList(v1) = 0 & $i(v1) & ? [v2: $i] : (cons(v2, v1) = v0 & % 185.32/27.69 | ssItem(v2) = 0 & $i(v2)))) % 185.32/27.69 | % 185.32/27.69 | ALPHA: (ax46) implies: % 185.32/27.69 | (3) ! [v0: $i] : ! [v1: any] : ( ~ (frontsegP(nil, v0) = v1) | ~ $i(v0) % 185.32/27.69 | | ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2) | (( ~ (v1 = 0) | v0 % 185.32/27.69 | = nil) & ( ~ (v0 = nil) | v1 = 0))) % 185.32/27.69 | % 185.32/27.69 | ALPHA: (ax77) implies: % 185.32/27.69 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (tl(v0) = v1) | ~ $i(v0) | ? [v2: % 185.32/27.69 | any] : ? [v3: $i] : (hd(v0) = v3 & ssList(v0) = v2 & $i(v3) & ( ~ % 185.32/27.69 | (v2 = 0) | ! [v4: $i] : (v4 = v0 | v4 = nil | v0 = nil | ~ % 185.32/27.69 | (tl(v4) = v1) | ~ $i(v4) | ? [v5: any] : ? [v6: $i] : % 185.32/27.69 | (hd(v4) = v6 & ssList(v4) = v5 & $i(v6) & ( ~ (v6 = v3) | ~ % 185.32/27.69 | (v5 = 0))))))) % 185.32/27.69 | % 185.32/27.69 | ALPHA: (co1) implies: % 185.32/27.70 | (5) $i(nil) % 185.32/27.70 | (6) ? [v0: $i] : (ssList(v0) = 0 & $i(v0) & ? [v1: $i] : (ssList(v1) = 0 % 185.32/27.70 | & $i(v1) & ? [v2: $i] : ? [v3: any] : (ssList(v2) = 0 & neq(v2, % 185.32/27.70 | nil) = v3 & $i(v2) & ? [v4: any] : (v2 = v0 & frontsegP(v1, % 185.32/27.70 | v0) = v4 & ! [v5: $i] : ( ~ (neq(v5, nil) = 0) | ~ $i(v5) | % 185.32/27.70 | ? [v6: any] : ? [v7: any] : ? [v8: any] : (frontsegP(v1, % 185.32/27.70 | v5) = v7 & frontsegP(v0, v5) = v8 & ssList(v5) = v6 & ( ~ % 185.32/27.70 | (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ( ~ (v1 = nil) % 185.32/27.70 | | ~ (v0 = nil)) & ((v4 = 0 & v3 = 0) | (v1 = nil & v0 = % 185.32/27.70 | nil)))))) % 185.32/27.70 | % 185.32/27.70 | ALPHA: (function-axioms) implies: % 185.32/27.70 | (7) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 185.32/27.70 | (v1 = v0 | ~ (ssItem(v2) = v1) | ~ (ssItem(v2) = v0)) % 185.32/27.70 | (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 185.32/27.70 | (v1 = v0 | ~ (ssList(v2) = v1) | ~ (ssList(v2) = v0)) % 185.32/27.70 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 185.32/27.70 | ! [v3: $i] : (v1 = v0 | ~ (frontsegP(v3, v2) = v1) | ~ % 185.32/27.70 | (frontsegP(v3, v2) = v0)) % 185.32/27.70 | % 185.32/27.70 | DELTA: instantiating (6) with fresh symbol all_139_0 gives: % 185.32/27.70 | (10) ssList(all_139_0) = 0 & $i(all_139_0) & ? [v0: $i] : (ssList(v0) = 0 % 185.32/27.70 | & $i(v0) & ? [v1: $i] : ? [v2: any] : (ssList(v1) = 0 & neq(v1, % 185.32/27.70 | nil) = v2 & $i(v1) & ? [v3: any] : (v1 = all_139_0 & % 185.32/27.70 | frontsegP(v0, all_139_0) = v3 & ! [v4: $i] : ( ~ (neq(v4, nil) % 185.32/27.70 | = 0) | ~ $i(v4) | ? [v5: any] : ? [v6: any] : ? [v7: % 185.32/27.70 | any] : (frontsegP(v0, v4) = v6 & frontsegP(all_139_0, v4) = % 185.32/27.70 | v7 & ssList(v4) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = % 185.32/27.70 | 0)))) & ( ~ (v0 = nil) | ~ (all_139_0 = nil)) & ((v3 = % 185.32/27.70 | 0 & v2 = 0) | (v0 = nil & all_139_0 = nil))))) % 185.32/27.70 | % 185.32/27.70 | ALPHA: (10) implies: % 185.32/27.71 | (11) ? [v0: $i] : (ssList(v0) = 0 & $i(v0) & ? [v1: $i] : ? [v2: any] : % 185.32/27.71 | (ssList(v1) = 0 & neq(v1, nil) = v2 & $i(v1) & ? [v3: any] : (v1 = % 185.32/27.71 | all_139_0 & frontsegP(v0, all_139_0) = v3 & ! [v4: $i] : ( ~ % 185.32/27.71 | (neq(v4, nil) = 0) | ~ $i(v4) | ? [v5: any] : ? [v6: any] : % 185.32/27.71 | ? [v7: any] : (frontsegP(v0, v4) = v6 & frontsegP(all_139_0, % 185.32/27.71 | v4) = v7 & ssList(v4) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | % 185.32/27.71 | ~ (v5 = 0)))) & ( ~ (v0 = nil) | ~ (all_139_0 = nil)) & % 185.32/27.71 | ((v3 = 0 & v2 = 0) | (v0 = nil & all_139_0 = nil))))) % 185.32/27.71 | % 185.32/27.71 | DELTA: instantiating (11) with fresh symbol all_143_0 gives: % 185.32/27.71 | (12) ssList(all_143_0) = 0 & $i(all_143_0) & ? [v0: $i] : ? [v1: any] : % 185.32/27.71 | (ssList(v0) = 0 & neq(v0, nil) = v1 & $i(v0) & ? [v2: any] : (v0 = % 185.32/27.71 | all_139_0 & frontsegP(all_143_0, all_139_0) = v2 & ! [v3: $i] : ( % 185.32/27.71 | ~ (neq(v3, nil) = 0) | ~ $i(v3) | ? [v4: any] : ? [v5: any] : % 185.32/27.71 | ? [v6: any] : (frontsegP(all_143_0, v3) = v5 & % 185.32/27.71 | frontsegP(all_139_0, v3) = v6 & ssList(v3) = v4 & ( ~ (v6 = 0) % 185.32/27.71 | | ~ (v5 = 0) | ~ (v4 = 0)))) & ( ~ (all_143_0 = nil) | ~ % 185.32/27.71 | (all_139_0 = nil)) & ((v2 = 0 & v1 = 0) | (all_143_0 = nil & % 185.32/27.71 | all_139_0 = nil)))) % 185.32/27.71 | % 185.32/27.71 | ALPHA: (12) implies: % 185.32/27.71 | (13) $i(all_143_0) % 185.32/27.71 | (14) ssList(all_143_0) = 0 % 185.32/27.71 | (15) ? [v0: $i] : ? [v1: any] : (ssList(v0) = 0 & neq(v0, nil) = v1 & % 185.32/27.71 | $i(v0) & ? [v2: any] : (v0 = all_139_0 & frontsegP(all_143_0, % 185.32/27.71 | all_139_0) = v2 & ! [v3: $i] : ( ~ (neq(v3, nil) = 0) | ~ % 185.32/27.71 | $i(v3) | ? [v4: any] : ? [v5: any] : ? [v6: any] : % 185.32/27.71 | (frontsegP(all_143_0, v3) = v5 & frontsegP(all_139_0, v3) = v6 & % 185.32/27.71 | ssList(v3) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) % 185.32/27.71 | & ( ~ (all_143_0 = nil) | ~ (all_139_0 = nil)) & ((v2 = 0 & v1 = % 185.32/27.71 | 0) | (all_143_0 = nil & all_139_0 = nil)))) % 185.32/27.71 | % 185.32/27.71 | DELTA: instantiating (15) with fresh symbols all_145_0, all_145_1 gives: % 185.32/27.72 | (16) ssList(all_145_1) = 0 & neq(all_145_1, nil) = all_145_0 & % 185.32/27.72 | $i(all_145_1) & ? [v0: any] : (all_145_1 = all_139_0 & % 185.32/27.72 | frontsegP(all_143_0, all_139_0) = v0 & ! [v1: $i] : ( ~ (neq(v1, % 185.32/27.72 | nil) = 0) | ~ $i(v1) | ? [v2: any] : ? [v3: any] : ? [v4: % 185.32/27.72 | any] : (frontsegP(all_143_0, v1) = v3 & frontsegP(all_139_0, v1) % 185.32/27.72 | = v4 & ssList(v1) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = % 185.32/27.72 | 0)))) & ( ~ (all_143_0 = nil) | ~ (all_139_0 = nil)) & ((v0 % 185.32/27.72 | = 0 & all_145_0 = 0) | (all_143_0 = nil & all_139_0 = nil))) % 185.32/27.72 | % 185.32/27.72 | ALPHA: (16) implies: % 185.32/27.72 | (17) $i(all_145_1) % 185.32/27.72 | (18) neq(all_145_1, nil) = all_145_0 % 185.32/27.72 | (19) ssList(all_145_1) = 0 % 185.32/27.72 | (20) ? [v0: any] : (all_145_1 = all_139_0 & frontsegP(all_143_0, % 185.32/27.72 | all_139_0) = v0 & ! [v1: $i] : ( ~ (neq(v1, nil) = 0) | ~ $i(v1) % 185.32/27.72 | | ? [v2: any] : ? [v3: any] : ? [v4: any] : % 185.32/27.72 | (frontsegP(all_143_0, v1) = v3 & frontsegP(all_139_0, v1) = v4 & % 185.32/27.72 | ssList(v1) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) & % 185.32/27.72 | ( ~ (all_143_0 = nil) | ~ (all_139_0 = nil)) & ((v0 = 0 & all_145_0 % 185.32/27.72 | = 0) | (all_143_0 = nil & all_139_0 = nil))) % 185.32/27.72 | % 185.32/27.72 | DELTA: instantiating (20) with fresh symbol all_147_0 gives: % 185.32/27.72 | (21) all_145_1 = all_139_0 & frontsegP(all_143_0, all_139_0) = all_147_0 & % 185.32/27.72 | ! [v0: $i] : ( ~ (neq(v0, nil) = 0) | ~ $i(v0) | ? [v1: any] : ? % 185.32/27.72 | [v2: any] : ? [v3: any] : (frontsegP(all_143_0, v0) = v2 & % 185.32/27.72 | frontsegP(all_139_0, v0) = v3 & ssList(v0) = v1 & ( ~ (v3 = 0) | % 185.32/27.72 | ~ (v2 = 0) | ~ (v1 = 0)))) & ( ~ (all_143_0 = nil) | ~ % 185.32/27.72 | (all_139_0 = nil)) & ((all_147_0 = 0 & all_145_0 = 0) | (all_143_0 = % 185.32/27.72 | nil & all_139_0 = nil)) % 185.32/27.72 | % 185.32/27.72 | ALPHA: (21) implies: % 185.32/27.72 | (22) all_145_1 = all_139_0 % 185.32/27.72 | (23) frontsegP(all_143_0, all_139_0) = all_147_0 % 185.32/27.72 | (24) (all_147_0 = 0 & all_145_0 = 0) | (all_143_0 = nil & all_139_0 = nil) % 185.32/27.72 | (25) ~ (all_143_0 = nil) | ~ (all_139_0 = nil) % 185.32/27.73 | (26) ! [v0: $i] : ( ~ (neq(v0, nil) = 0) | ~ $i(v0) | ? [v1: any] : ? % 185.32/27.73 | [v2: any] : ? [v3: any] : (frontsegP(all_143_0, v0) = v2 & % 185.32/27.73 | frontsegP(all_139_0, v0) = v3 & ssList(v0) = v1 & ( ~ (v3 = 0) | % 185.32/27.73 | ~ (v2 = 0) | ~ (v1 = 0)))) % 185.32/27.73 | % 185.32/27.73 | REDUCE: (19), (22) imply: % 185.32/27.73 | (27) ssList(all_139_0) = 0 % 185.32/27.73 | % 185.32/27.73 | REDUCE: (18), (22) imply: % 185.32/27.73 | (28) neq(all_139_0, nil) = all_145_0 % 185.32/27.73 | % 185.32/27.73 | REDUCE: (17), (22) imply: % 185.32/27.73 | (29) $i(all_139_0) % 185.32/27.73 | % 185.32/27.73 | GROUND_INST: instantiating (ax41) with nil, simplifying with (1), (5) gives: % 185.32/27.73 | (30) ! [v0: $i] : (v0 = nil | ~ (frontsegP(nil, v0) = 0) | ~ $i(v0) | ? % 185.32/27.73 | [v1: any] : ? [v2: any] : (frontsegP(v0, nil) = v2 & ssList(v0) = % 185.32/27.73 | v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) % 185.32/27.73 | % 185.32/27.73 | GROUND_INST: instantiating (2) with all_139_0, simplifying with (27), (29) % 185.32/27.73 | gives: % 185.32/27.73 | (31) all_139_0 = nil | ? [v0: $i] : (ssList(v0) = 0 & $i(v0) & ? [v1: $i] % 185.32/27.73 | : (cons(v1, v0) = all_139_0 & ssItem(v1) = 0 & $i(v1))) % 185.32/27.73 | % 185.32/27.73 | GROUND_INST: instantiating (ax15) with all_139_0, simplifying with (27), (29) % 185.32/27.73 | gives: % 185.32/27.73 | (32) ! [v0: $i] : ! [v1: any] : ( ~ (neq(all_139_0, v0) = v1) | ~ $i(v0) % 185.32/27.73 | | ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2) | (( ~ (v1 = 0) | % 185.32/27.73 | ~ (v0 = all_139_0)) & (v1 = 0 | v0 = all_139_0))) % 185.32/27.73 | % 185.32/27.73 | GROUND_INST: instantiating (2) with all_143_0, simplifying with (13), (14) % 185.32/27.73 | gives: % 185.32/27.73 | (33) all_143_0 = nil | ? [v0: $i] : (ssList(v0) = 0 & $i(v0) & ? [v1: $i] % 185.32/27.73 | : (cons(v1, v0) = all_143_0 & ssItem(v1) = 0 & $i(v1))) % 185.32/27.73 | % 185.32/27.73 | GROUND_INST: instantiating (ax5) with all_143_0, simplifying with (13), (14) % 185.32/27.73 | gives: % 185.58/27.73 | (34) ! [v0: $i] : ! [v1: any] : ( ~ (frontsegP(all_143_0, v0) = v1) | ~ % 185.58/27.73 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2) | (( ~ (v1 = % 185.58/27.73 | 0) | ? [v2: $i] : (ssList(v2) = 0 & app(v0, v2) = all_143_0 & % 185.58/27.73 | $i(v2))) & (v1 = 0 | ! [v2: $i] : ( ~ (app(v0, v2) = % 185.58/27.73 | all_143_0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) & % 185.58/27.73 | ssList(v2) = v3))))) % 185.58/27.73 | % 185.58/27.73 | GROUND_INST: instantiating (32) with nil, all_145_0, simplifying with (5), % 185.58/27.73 | (28) gives: % 185.58/27.74 | (35) ? [v0: int] : ( ~ (v0 = 0) & ssList(nil) = v0) | (( ~ (all_145_0 = 0) % 185.58/27.74 | | ~ (all_139_0 = nil)) & (all_145_0 = 0 | all_139_0 = nil)) % 185.58/27.74 | % 185.58/27.74 | GROUND_INST: instantiating (34) with all_139_0, all_147_0, simplifying with % 185.58/27.74 | (23), (29) gives: % 185.58/27.74 | (36) ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) = v0) | (( ~ % 185.58/27.74 | (all_147_0 = 0) | ? [v0: $i] : (ssList(v0) = 0 & app(all_139_0, % 185.58/27.74 | v0) = all_143_0 & $i(v0))) & (all_147_0 = 0 | ! [v0: $i] : ( % 185.58/27.74 | ~ (app(all_139_0, v0) = all_143_0) | ~ $i(v0) | ? [v1: int] : % 185.58/27.74 | ( ~ (v1 = 0) & ssList(v0) = v1)))) % 185.58/27.74 | % 185.58/27.74 | BETA: splitting (25) gives: % 185.58/27.74 | % 185.58/27.74 | Case 1: % 185.58/27.74 | | % 185.58/27.74 | | (37) ~ (all_143_0 = nil) % 185.58/27.74 | | % 185.58/27.74 | | BETA: splitting (24) gives: % 185.58/27.74 | | % 185.58/27.74 | | Case 1: % 185.58/27.74 | | | % 185.58/27.74 | | | (38) all_147_0 = 0 & all_145_0 = 0 % 185.58/27.74 | | | % 185.58/27.74 | | | ALPHA: (38) implies: % 185.58/27.74 | | | (39) all_145_0 = 0 % 185.58/27.74 | | | (40) all_147_0 = 0 % 185.58/27.74 | | | % 185.58/27.74 | | | REDUCE: (23), (40) imply: % 185.58/27.74 | | | (41) frontsegP(all_143_0, all_139_0) = 0 % 185.58/27.74 | | | % 185.58/27.74 | | | REDUCE: (28), (39) imply: % 185.58/27.74 | | | (42) neq(all_139_0, nil) = 0 % 185.58/27.74 | | | % 185.58/27.74 | | | BETA: splitting (35) gives: % 185.58/27.74 | | | % 185.58/27.74 | | | Case 1: % 185.58/27.74 | | | | % 185.58/27.74 | | | | (43) ? [v0: int] : ( ~ (v0 = 0) & ssList(nil) = v0) % 185.58/27.74 | | | | % 185.58/27.74 | | | | DELTA: instantiating (43) with fresh symbol all_305_0 gives: % 185.58/27.74 | | | | (44) ~ (all_305_0 = 0) & ssList(nil) = all_305_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | ALPHA: (44) implies: % 185.58/27.74 | | | | (45) ~ (all_305_0 = 0) % 185.58/27.74 | | | | (46) ssList(nil) = all_305_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | DELTA: instantiating (43) with fresh symbol all_307_0 gives: % 185.58/27.74 | | | | (47) ~ (all_307_0 = 0) & ssList(nil) = all_307_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | ALPHA: (47) implies: % 185.58/27.74 | | | | (48) ssList(nil) = all_307_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | DELTA: instantiating (43) with fresh symbol all_309_0 gives: % 185.58/27.74 | | | | (49) ~ (all_309_0 = 0) & ssList(nil) = all_309_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | ALPHA: (49) implies: % 185.58/27.74 | | | | (50) ssList(nil) = all_309_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | DELTA: instantiating (43) with fresh symbol all_311_0 gives: % 185.58/27.74 | | | | (51) ~ (all_311_0 = 0) & ssList(nil) = all_311_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | ALPHA: (51) implies: % 185.58/27.74 | | | | (52) ssList(nil) = all_311_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | DELTA: instantiating (43) with fresh symbol all_313_0 gives: % 185.58/27.74 | | | | (53) ~ (all_313_0 = 0) & ssList(nil) = all_313_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | ALPHA: (53) implies: % 185.58/27.74 | | | | (54) ssList(nil) = all_313_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | DELTA: instantiating (43) with fresh symbol all_315_0 gives: % 185.58/27.74 | | | | (55) ~ (all_315_0 = 0) & ssList(nil) = all_315_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | ALPHA: (55) implies: % 185.58/27.74 | | | | (56) ssList(nil) = all_315_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | DELTA: instantiating (43) with fresh symbol all_317_0 gives: % 185.58/27.74 | | | | (57) ~ (all_317_0 = 0) & ssList(nil) = all_317_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | ALPHA: (57) implies: % 185.58/27.74 | | | | (58) ssList(nil) = all_317_0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | GROUND_INST: instantiating (8) with 0, all_313_0, nil, simplifying with % 185.58/27.74 | | | | (1), (54) gives: % 185.58/27.74 | | | | (59) all_313_0 = 0 % 185.58/27.74 | | | | % 185.58/27.74 | | | | GROUND_INST: instantiating (8) with all_309_0, all_313_0, nil, % 185.58/27.74 | | | | simplifying with (50), (54) gives: % 185.58/27.74 | | | | (60) all_313_0 = all_309_0 % 185.58/27.74 | | | | % 185.58/27.75 | | | | GROUND_INST: instantiating (8) with all_311_0, all_315_0, nil, % 185.58/27.75 | | | | simplifying with (52), (56) gives: % 185.58/27.75 | | | | (61) all_315_0 = all_311_0 % 185.58/27.75 | | | | % 185.58/27.75 | | | | GROUND_INST: instantiating (8) with all_309_0, all_315_0, nil, % 185.58/27.75 | | | | simplifying with (50), (56) gives: % 185.58/27.75 | | | | (62) all_315_0 = all_309_0 % 185.58/27.75 | | | | % 185.58/27.75 | | | | GROUND_INST: instantiating (8) with all_307_0, all_315_0, nil, % 185.58/27.75 | | | | simplifying with (48), (56) gives: % 185.58/27.75 | | | | (63) all_315_0 = all_307_0 % 185.58/27.75 | | | | % 185.58/27.75 | | | | GROUND_INST: instantiating (8) with all_311_0, all_317_0, nil, % 185.58/27.75 | | | | simplifying with (52), (58) gives: % 185.58/27.75 | | | | (64) all_317_0 = all_311_0 % 185.58/27.75 | | | | % 185.58/27.75 | | | | GROUND_INST: instantiating (8) with all_305_0, all_317_0, nil, % 185.58/27.75 | | | | simplifying with (46), (58) gives: % 185.58/27.75 | | | | (65) all_317_0 = all_305_0 % 185.58/27.75 | | | | % 185.58/27.75 | | | | COMBINE_EQS: (64), (65) imply: % 185.58/27.75 | | | | (66) all_311_0 = all_305_0 % 185.58/27.75 | | | | % 185.58/27.75 | | | | SIMP: (66) implies: % 185.58/27.75 | | | | (67) all_311_0 = all_305_0 % 185.58/27.75 | | | | % 185.58/27.75 | | | | COMBINE_EQS: (62), (63) imply: % 185.58/27.75 | | | | (68) all_309_0 = all_307_0 % 185.58/27.75 | | | | % 185.58/27.75 | | | | SIMP: (68) implies: % 185.58/27.75 | | | | (69) all_309_0 = all_307_0 % 185.58/27.75 | | | | % 185.58/27.75 | | | | COMBINE_EQS: (61), (63) imply: % 185.58/27.75 | | | | (70) all_311_0 = all_307_0 % 185.58/27.75 | | | | % 185.58/27.75 | | | | SIMP: (70) implies: % 185.58/27.75 | | | | (71) all_311_0 = all_307_0 % 185.58/27.75 | | | | % 185.58/27.75 | | | | COMBINE_EQS: (59), (60) imply: % 185.58/27.75 | | | | (72) all_309_0 = 0 % 185.58/27.75 | | | | % 185.58/27.75 | | | | SIMP: (72) implies: % 185.58/27.75 | | | | (73) all_309_0 = 0 % 185.58/27.75 | | | | % 185.67/27.75 | | | | COMBINE_EQS: (67), (71) imply: % 185.67/27.75 | | | | (74) all_307_0 = all_305_0 % 185.67/27.75 | | | | % 185.67/27.75 | | | | SIMP: (74) implies: % 185.67/27.75 | | | | (75) all_307_0 = all_305_0 % 185.67/27.75 | | | | % 185.67/27.75 | | | | COMBINE_EQS: (69), (73) imply: % 185.67/27.75 | | | | (76) all_307_0 = 0 % 185.67/27.75 | | | | % 185.67/27.75 | | | | SIMP: (76) implies: % 185.67/27.75 | | | | (77) all_307_0 = 0 % 185.67/27.75 | | | | % 185.67/27.75 | | | | COMBINE_EQS: (75), (77) imply: % 185.67/27.75 | | | | (78) all_305_0 = 0 % 185.67/27.75 | | | | % 185.67/27.75 | | | | SIMP: (78) implies: % 185.67/27.75 | | | | (79) all_305_0 = 0 % 185.67/27.75 | | | | % 185.67/27.75 | | | | REDUCE: (45), (79) imply: % 185.67/27.75 | | | | (80) $false % 185.67/27.75 | | | | % 185.67/27.75 | | | | CLOSE: (80) is inconsistent. % 185.67/27.75 | | | | % 185.67/27.75 | | | Case 2: % 185.67/27.75 | | | | % 185.67/27.75 | | | | (81) ( ~ (all_145_0 = 0) | ~ (all_139_0 = nil)) & (all_145_0 = 0 | % 185.67/27.75 | | | | all_139_0 = nil) % 185.67/27.75 | | | | % 185.67/27.75 | | | | ALPHA: (81) implies: % 185.67/27.75 | | | | (82) ~ (all_145_0 = 0) | ~ (all_139_0 = nil) % 185.67/27.75 | | | | % 185.67/27.75 | | | | BETA: splitting (33) gives: % 185.67/27.75 | | | | % 185.67/27.75 | | | | Case 1: % 185.67/27.75 | | | | | % 185.67/27.75 | | | | | (83) all_143_0 = nil % 185.67/27.75 | | | | | % 185.67/27.75 | | | | | REDUCE: (37), (83) imply: % 185.67/27.75 | | | | | (84) $false % 185.67/27.75 | | | | | % 185.67/27.75 | | | | | CLOSE: (84) is inconsistent. % 185.67/27.75 | | | | | % 185.67/27.75 | | | | Case 2: % 185.67/27.75 | | | | | % 185.67/27.75 | | | | | (85) ? [v0: $i] : (ssList(v0) = 0 & $i(v0) & ? [v1: $i] : % 185.67/27.75 | | | | | (cons(v1, v0) = all_143_0 & ssItem(v1) = 0 & $i(v1))) % 185.67/27.75 | | | | | % 185.67/27.75 | | | | | DELTA: instantiating (85) with fresh symbol all_359_0 gives: % 185.67/27.75 | | | | | (86) ssList(all_359_0) = 0 & $i(all_359_0) & ? [v0: $i] : % 185.67/27.75 | | | | | (cons(v0, all_359_0) = all_143_0 & ssItem(v0) = 0 & $i(v0)) % 185.67/27.75 | | | | | % 185.67/27.75 | | | | | ALPHA: (86) implies: % 185.67/27.75 | | | | | (87) $i(all_359_0) % 185.67/27.75 | | | | | (88) ssList(all_359_0) = 0 % 185.67/27.75 | | | | | (89) ? [v0: $i] : (cons(v0, all_359_0) = all_143_0 & ssItem(v0) = % 185.67/27.75 | | | | | 0 & $i(v0)) % 185.67/27.75 | | | | | % 185.67/27.75 | | | | | DELTA: instantiating (89) with fresh symbol all_361_0 gives: % 185.67/27.75 | | | | | (90) cons(all_361_0, all_359_0) = all_143_0 & ssItem(all_361_0) = 0 % 185.67/27.75 | | | | | & $i(all_361_0) % 185.67/27.75 | | | | | % 185.67/27.75 | | | | | ALPHA: (90) implies: % 185.67/27.75 | | | | | (91) $i(all_361_0) % 185.67/27.75 | | | | | (92) ssItem(all_361_0) = 0 % 185.67/27.76 | | | | | (93) cons(all_361_0, all_359_0) = all_143_0 % 185.67/27.76 | | | | | % 185.67/27.76 | | | | | BETA: splitting (82) gives: % 185.67/27.76 | | | | | % 185.67/27.76 | | | | | Case 1: % 185.67/27.76 | | | | | | % 185.67/27.76 | | | | | | (94) ~ (all_139_0 = nil) % 185.67/27.76 | | | | | | % 185.67/27.76 | | | | | | BETA: splitting (36) gives: % 185.67/27.76 | | | | | | % 185.67/27.76 | | | | | | Case 1: % 185.67/27.76 | | | | | | | % 185.67/27.76 | | | | | | | (95) ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) = v0) % 185.67/27.76 | | | | | | | % 185.67/27.76 | | | | | | | DELTA: instantiating (95) with fresh symbol all_369_0 gives: % 185.67/27.76 | | | | | | | (96) ~ (all_369_0 = 0) & ssList(all_139_0) = all_369_0 % 185.67/27.76 | | | | | | | % 185.67/27.76 | | | | | | | ALPHA: (96) implies: % 185.67/27.76 | | | | | | | (97) ~ (all_369_0 = 0) % 185.67/27.76 | | | | | | | (98) ssList(all_139_0) = all_369_0 % 185.67/27.76 | | | | | | | % 185.67/27.76 | | | | | | | GROUND_INST: instantiating (8) with 0, all_369_0, all_139_0, % 185.67/27.76 | | | | | | | simplifying with (27), (98) gives: % 185.67/27.76 | | | | | | | (99) all_369_0 = 0 % 185.67/27.76 | | | | | | | % 185.67/27.76 | | | | | | | REDUCE: (97), (99) imply: % 185.67/27.76 | | | | | | | (100) $false % 185.67/27.76 | | | | | | | % 185.67/27.76 | | | | | | | CLOSE: (100) is inconsistent. % 185.67/27.76 | | | | | | | % 185.67/27.76 | | | | | | Case 2: % 185.67/27.76 | | | | | | | % 185.67/27.76 | | | | | | | (101) ( ~ (all_147_0 = 0) | ? [v0: $i] : (ssList(v0) = 0 & % 185.67/27.76 | | | | | | | app(all_139_0, v0) = all_143_0 & $i(v0))) & % 185.67/27.76 | | | | | | | (all_147_0 = 0 | ! [v0: $i] : ( ~ (app(all_139_0, v0) = % 185.67/27.76 | | | | | | | all_143_0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = % 185.67/27.76 | | | | | | | 0) & ssList(v0) = v1))) % 185.67/27.76 | | | | | | | % 185.67/27.76 | | | | | | | ALPHA: (101) implies: % 185.67/27.76 | | | | | | | (102) ~ (all_147_0 = 0) | ? [v0: $i] : (ssList(v0) = 0 & % 185.67/27.76 | | | | | | | app(all_139_0, v0) = all_143_0 & $i(v0)) % 185.67/27.76 | | | | | | | % 185.67/27.76 | | | | | | | BETA: splitting (31) gives: % 185.67/27.76 | | | | | | | % 185.67/27.76 | | | | | | | Case 1: % 185.67/27.76 | | | | | | | | % 185.67/27.76 | | | | | | | | (103) all_139_0 = nil % 185.67/27.76 | | | | | | | | % 185.67/27.76 | | | | | | | | REDUCE: (94), (103) imply: % 185.67/27.76 | | | | | | | | (104) $false % 185.67/27.76 | | | | | | | | % 185.67/27.76 | | | | | | | | CLOSE: (104) is inconsistent. % 185.67/27.76 | | | | | | | | % 185.67/27.76 | | | | | | | Case 2: % 185.67/27.76 | | | | | | | | % 185.67/27.76 | | | | | | | | (105) ? [v0: $i] : (ssList(v0) = 0 & $i(v0) & ? [v1: $i] : % 185.67/27.76 | | | | | | | | (cons(v1, v0) = all_139_0 & ssItem(v1) = 0 & $i(v1))) % 185.67/27.76 | | | | | | | | % 185.67/27.76 | | | | | | | | DELTA: instantiating (105) with fresh symbol all_372_0 gives: % 185.67/27.76 | | | | | | | | (106) ssList(all_372_0) = 0 & $i(all_372_0) & ? [v0: $i] : % 185.67/27.76 | | | | | | | | (cons(v0, all_372_0) = all_139_0 & ssItem(v0) = 0 & % 185.67/27.76 | | | | | | | | $i(v0)) % 185.67/27.76 | | | | | | | | % 185.67/27.76 | | | | | | | | ALPHA: (106) implies: % 185.67/27.76 | | | | | | | | (107) $i(all_372_0) % 185.67/27.76 | | | | | | | | (108) ssList(all_372_0) = 0 % 185.67/27.76 | | | | | | | | (109) ? [v0: $i] : (cons(v0, all_372_0) = all_139_0 & % 185.67/27.76 | | | | | | | | ssItem(v0) = 0 & $i(v0)) % 185.67/27.76 | | | | | | | | % 185.67/27.76 | | | | | | | | DELTA: instantiating (109) with fresh symbol all_374_0 gives: % 185.67/27.76 | | | | | | | | (110) cons(all_374_0, all_372_0) = all_139_0 & % 185.67/27.76 | | | | | | | | ssItem(all_374_0) = 0 & $i(all_374_0) % 185.67/27.76 | | | | | | | | % 185.67/27.76 | | | | | | | | ALPHA: (110) implies: % 185.67/27.76 | | | | | | | | (111) $i(all_374_0) % 185.67/27.76 | | | | | | | | (112) ssItem(all_374_0) = 0 % 185.67/27.76 | | | | | | | | (113) cons(all_374_0, all_372_0) = all_139_0 % 185.67/27.76 | | | | | | | | % 185.67/27.76 | | | | | | | | BETA: splitting (102) gives: % 185.67/27.76 | | | | | | | | % 185.67/27.76 | | | | | | | | Case 1: % 185.67/27.76 | | | | | | | | | % 185.67/27.76 | | | | | | | | | (114) ~ (all_147_0 = 0) % 185.67/27.76 | | | | | | | | | % 185.67/27.76 | | | | | | | | | REDUCE: (40), (114) imply: % 185.67/27.76 | | | | | | | | | (115) $false % 185.67/27.76 | | | | | | | | | % 185.67/27.76 | | | | | | | | | CLOSE: (115) is inconsistent. % 185.67/27.76 | | | | | | | | | % 185.67/27.76 | | | | | | | | Case 2: % 185.67/27.76 | | | | | | | | | % 185.67/27.76 | | | | | | | | | % 185.67/27.76 | | | | | | | | | GROUND_INST: instantiating (ax44) with all_361_0, simplifying % 185.67/27.76 | | | | | | | | | with (91), (92) gives: % 185.67/27.76 | | | | | | | | | (116) ! [v0: $i] : ( ~ (ssItem(v0) = 0) | ~ $i(v0) | ! % 185.67/27.76 | | | | | | | | | [v1: $i] : ! [v2: $i] : ( ~ (cons(all_361_0, v1) = % 185.67/27.76 | | | | | | | | | v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & % 185.67/27.76 | | | | | | | | | ssList(v1) = v3) | ! [v3: $i] : ! [v4: $i] : % 185.67/27.76 | | | | | | | | | ! [v5: any] : ( ~ (frontsegP(v2, v4) = v5) | ~ % 185.67/27.76 | | | | | | | | | (cons(v0, v3) = v4) | ~ $i(v3) | ? [v6: any] % 185.67/27.76 | | | | | | | | | : ? [v7: any] : (frontsegP(v1, v3) = v7 & % 185.67/27.76 | | | | | | | | | ssList(v3) = v6 & ( ~ (v6 = 0) | (( ~ (v7 = % 185.67/27.76 | | | | | | | | | 0) | ~ (v0 = all_361_0) | v5 = 0) & % 185.67/27.76 | | | | | | | | | ( ~ (v5 = 0) | (v7 = 0 & v0 = % 185.67/27.76 | | | | | | | | | all_361_0)))))))) % 185.67/27.76 | | | | | | | | | % 185.67/27.76 | | | | | | | | | GROUND_INST: instantiating (26) with all_139_0, simplifying % 185.67/27.76 | | | | | | | | | with (29), (42) gives: % 185.67/27.76 | | | | | | | | | (117) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 185.67/27.76 | | | | | | | | | (frontsegP(all_143_0, all_139_0) = v1 & % 185.67/27.76 | | | | | | | | | frontsegP(all_139_0, all_139_0) = v2 & % 185.67/27.77 | | | | | | | | | ssList(all_139_0) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) % 185.67/27.77 | | | | | | | | | | ~ (v0 = 0))) % 185.67/27.77 | | | | | | | | | % 185.67/27.77 | | | | | | | | | GROUND_INST: instantiating (2) with all_359_0, simplifying with % 185.67/27.77 | | | | | | | | | (87), (88) gives: % 185.67/27.77 | | | | | | | | | (118) all_359_0 = nil | ? [v0: $i] : (ssList(v0) = 0 & % 185.67/27.77 | | | | | | | | | $i(v0) & ? [v1: $i] : (cons(v1, v0) = all_359_0 & % 185.67/27.77 | | | | | | | | | ssItem(v1) = 0 & $i(v1))) % 185.67/27.77 | | | | | | | | | % 185.67/27.77 | | | | | | | | | GROUND_INST: instantiating (ax25) with all_359_0, simplifying % 185.67/27.77 | | | | | | | | | with (87), (88) gives: % 185.67/27.77 | | | | | | | | | (119) ! [v0: $i] : ! [v1: $i] : ( ~ (cons(v0, all_359_0) % 185.67/27.77 | | | | | | | | | = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : % 185.67/27.77 | | | | | | | | | (tl(v1) = v3 & ssItem(v0) = v2 & $i(v3) & ( ~ (v2 = % 185.67/27.77 | | | | | | | | | 0) | v3 = all_359_0))) % 185.67/27.77 | | | | | | | | | % 185.67/27.77 | | | | | | | | | GROUND_INST: instantiating (ax23) with all_359_0, simplifying % 185.67/27.77 | | | | | | | | | with (87), (88) gives: % 185.67/27.77 | | | | | | | | | (120) ! [v0: $i] : ! [v1: $i] : ( ~ (cons(v0, all_359_0) % 185.67/27.77 | | | | | | | | | = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : % 185.67/27.77 | | | | | | | | | (hd(v1) = v3 & ssItem(v0) = v2 & $i(v3) & ( ~ (v2 = % 185.67/27.77 | | | | | | | | | 0) | v3 = v0))) % 185.67/27.77 | | | | | | | | | % 185.67/27.77 | | | | | | | | | GROUND_INST: instantiating (ax19) with all_359_0, simplifying % 185.67/27.77 | | | | | | | | | with (87), (88) gives: % 185.67/27.77 | | | | | | | | | (121) ! [v0: $i] : ( ~ (ssList(v0) = 0) | ~ $i(v0) | ! % 185.67/27.77 | | | | | | | | | [v1: $i] : ! [v2: $i] : ( ~ (cons(v1, all_359_0) = % 185.67/27.77 | | | | | | | | | v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & % 185.67/27.77 | | | | | | | | | ssItem(v1) = v3) | ! [v3: $i] : ( ~ (cons(v3, % 185.67/27.77 | | | | | | | | | v0) = v2) | ~ $i(v3) | ? [v4: int] : ( ~ % 185.67/27.77 | | | | | | | | | (v4 = 0) & ssItem(v3) = v4) | (v3 = v1 & v0 = % 185.67/27.77 | | | | | | | | | all_359_0)))) % 185.67/27.77 | | | | | | | | | % 185.67/27.77 | | | | | | | | | GROUND_INST: instantiating (2) with all_372_0, simplifying with % 185.67/27.77 | | | | | | | | | (107), (108) gives: % 185.67/27.77 | | | | | | | | | (122) all_372_0 = nil | ? [v0: $i] : (ssList(v0) = 0 & % 185.67/27.77 | | | | | | | | | $i(v0) & ? [v1: $i] : (cons(v1, v0) = all_372_0 & % 185.67/27.77 | | | | | | | | | ssItem(v1) = 0 & $i(v1))) % 185.67/27.77 | | | | | | | | | % 185.67/27.77 | | | | | | | | | GROUND_INST: instantiating (ax25) with all_372_0, simplifying % 185.67/27.77 | | | | | | | | | with (107), (108) gives: % 185.67/27.77 | | | | | | | | | (123) ! [v0: $i] : ! [v1: $i] : ( ~ (cons(v0, all_372_0) % 185.67/27.77 | | | | | | | | | = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : % 185.67/27.77 | | | | | | | | | (tl(v1) = v3 & ssItem(v0) = v2 & $i(v3) & ( ~ (v2 = % 185.67/27.77 | | | | | | | | | 0) | v3 = all_372_0))) % 185.67/27.77 | | | | | | | | | % 185.67/27.77 | | | | | | | | | GROUND_INST: instantiating (ax23) with all_372_0, simplifying % 185.67/27.77 | | | | | | | | | with (107), (108) gives: % 185.67/27.77 | | | | | | | | | (124) ! [v0: $i] : ! [v1: $i] : ( ~ (cons(v0, all_372_0) % 185.67/27.77 | | | | | | | | | = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : % 185.67/27.77 | | | | | | | | | (hd(v1) = v3 & ssItem(v0) = v2 & $i(v3) & ( ~ (v2 = % 185.67/27.77 | | | | | | | | | 0) | v3 = v0))) % 185.67/27.77 | | | | | | | | | % 185.67/27.77 | | | | | | | | | GROUND_INST: instantiating (ax19) with all_372_0, simplifying % 185.67/27.77 | | | | | | | | | with (107), (108) gives: % 185.67/27.77 | | | | | | | | | (125) ! [v0: $i] : ( ~ (ssList(v0) = 0) | ~ $i(v0) | ! % 185.67/27.77 | | | | | | | | | [v1: $i] : ! [v2: $i] : ( ~ (cons(v1, all_372_0) = % 185.67/27.77 | | | | | | | | | v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & % 185.67/27.77 | | | | | | | | | ssItem(v1) = v3) | ! [v3: $i] : ( ~ (cons(v3, % 185.67/27.77 | | | | | | | | | v0) = v2) | ~ $i(v3) | ? [v4: int] : ( ~ % 185.67/27.77 | | | | | | | | | (v4 = 0) & ssItem(v3) = v4) | (v3 = v1 & v0 = % 185.67/27.77 | | | | | | | | | all_372_0)))) % 185.67/27.77 | | | | | | | | | % 185.67/27.77 | | | | | | | | | GROUND_INST: instantiating (119) with all_361_0, all_143_0, % 185.67/27.77 | | | | | | | | | simplifying with (91), (93) gives: % 185.67/27.77 | | | | | | | | | (126) ? [v0: any] : ? [v1: $i] : (tl(all_143_0) = v1 & % 185.67/27.77 | | | | | | | | | ssItem(all_361_0) = v0 & $i(v1) & ( ~ (v0 = 0) | v1 % 185.67/27.77 | | | | | | | | | = all_359_0)) % 185.67/27.77 | | | | | | | | | % 185.67/27.77 | | | | | | | | | GROUND_INST: instantiating (120) with all_361_0, all_143_0, % 185.67/27.77 | | | | | | | | | simplifying with (91), (93) gives: % 185.67/27.77 | | | | | | | | | (127) ? [v0: any] : ? [v1: $i] : (hd(all_143_0) = v1 & % 185.67/27.77 | | | | | | | | | ssItem(all_361_0) = v0 & $i(v1) & ( ~ (v0 = 0) | v1 % 185.67/27.77 | | | | | | | | | = all_361_0)) % 185.67/27.77 | | | | | | | | | % 185.67/27.77 | | | | | | | | | GROUND_INST: instantiating (124) with all_374_0, all_139_0, % 185.67/27.77 | | | | | | | | | simplifying with (111), (113) gives: % 185.67/27.77 | | | | | | | | | (128) ? [v0: any] : ? [v1: $i] : (hd(all_139_0) = v1 & % 185.67/27.77 | | | | | | | | | ssItem(all_374_0) = v0 & $i(v1) & ( ~ (v0 = 0) | v1 % 185.67/27.77 | | | | | | | | | = all_374_0)) % 185.67/27.77 | | | | | | | | | % 185.67/27.77 | | | | | | | | | GROUND_INST: instantiating (123) with all_374_0, all_139_0, % 185.67/27.77 | | | | | | | | | simplifying with (111), (113) gives: % 185.67/27.78 | | | | | | | | | (129) ? [v0: any] : ? [v1: $i] : (tl(all_139_0) = v1 & % 185.67/27.78 | | | | | | | | | ssItem(all_374_0) = v0 & $i(v1) & ( ~ (v0 = 0) | v1 % 185.67/27.78 | | | | | | | | | = all_372_0)) % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | GROUND_INST: instantiating (125) with nil, simplifying with % 185.67/27.78 | | | | | | | | | (1), (5) gives: % 185.67/27.78 | | | | | | | | | (130) ! [v0: $i] : ! [v1: $i] : ( ~ (cons(v0, all_372_0) % 185.67/27.78 | | | | | | | | | = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 185.67/27.78 | | | | | | | | | ssItem(v0) = v2) | ! [v2: $i] : ( ~ (cons(v2, % 185.67/27.78 | | | | | | | | | nil) = v1) | ~ $i(v2) | ? [v3: int] : ( ~ % 185.67/27.78 | | | | | | | | | (v3 = 0) & ssItem(v2) = v3) | (v2 = v0 & % 185.67/27.78 | | | | | | | | | all_372_0 = nil))) % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | GROUND_INST: instantiating (116) with all_374_0, simplifying % 185.67/27.78 | | | | | | | | | with (111), (112) gives: % 185.67/27.78 | | | | | | | | | (131) ! [v0: $i] : ! [v1: $i] : ( ~ (cons(all_361_0, v0) % 185.67/27.78 | | | | | | | | | = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 185.67/27.78 | | | | | | | | | ssList(v0) = v2) | ! [v2: $i] : ! [v3: $i] : ! % 185.67/27.78 | | | | | | | | | [v4: any] : ( ~ (frontsegP(v1, v3) = v4) | ~ % 185.67/27.78 | | | | | | | | | (cons(all_374_0, v2) = v3) | ~ $i(v2) | ? [v5: % 185.67/27.78 | | | | | | | | | any] : ? [v6: any] : (frontsegP(v0, v2) = v6 & % 185.67/27.78 | | | | | | | | | ssList(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v6 = 0) % 185.67/27.78 | | | | | | | | | | ~ (all_374_0 = all_361_0) | v4 = 0) & % 185.67/27.78 | | | | | | | | | ( ~ (v4 = 0) | (v6 = 0 & all_374_0 = % 185.67/27.78 | | | | | | | | | all_361_0))))))) % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | GROUND_INST: instantiating (130) with all_374_0, all_139_0, % 185.67/27.78 | | | | | | | | | simplifying with (111), (113) gives: % 185.67/27.78 | | | | | | | | | (132) ? [v0: int] : ( ~ (v0 = 0) & ssItem(all_374_0) = v0) % 185.67/27.78 | | | | | | | | | | ! [v0: $i] : ( ~ (cons(v0, nil) = all_139_0) | ~ % 185.67/27.78 | | | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & ssItem(v0) = % 185.67/27.78 | | | | | | | | | v1) | (v0 = all_374_0 & all_372_0 = nil)) % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | GROUND_INST: instantiating (131) with all_359_0, all_143_0, % 185.67/27.78 | | | | | | | | | simplifying with (87), (93) gives: % 185.67/27.78 | | | | | | | | | (133) ? [v0: int] : ( ~ (v0 = 0) & ssList(all_359_0) = v0) % 185.67/27.78 | | | | | | | | | | ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ % 185.67/27.78 | | | | | | | | | (frontsegP(all_143_0, v1) = v2) | ~ % 185.67/27.78 | | | | | | | | | (cons(all_374_0, v0) = v1) | ~ $i(v0) | ? [v3: % 185.67/27.78 | | | | | | | | | any] : ? [v4: any] : (frontsegP(all_359_0, v0) = % 185.67/27.78 | | | | | | | | | v4 & ssList(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = % 185.67/27.78 | | | | | | | | | 0) | ~ (all_374_0 = all_361_0) | v2 = 0) % 185.67/27.78 | | | | | | | | | & ( ~ (v2 = 0) | (v4 = 0 & all_374_0 = % 185.67/27.78 | | | | | | | | | all_361_0)))))) % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | DELTA: instantiating (117) with fresh symbols all_748_0, % 185.67/27.78 | | | | | | | | | all_748_1, all_748_2 gives: % 185.67/27.78 | | | | | | | | | (134) frontsegP(all_143_0, all_139_0) = all_748_1 & % 185.67/27.78 | | | | | | | | | frontsegP(all_139_0, all_139_0) = all_748_0 & % 185.67/27.78 | | | | | | | | | ssList(all_139_0) = all_748_2 & ( ~ (all_748_0 = 0) | % 185.67/27.78 | | | | | | | | | ~ (all_748_1 = 0) | ~ (all_748_2 = 0)) % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | ALPHA: (134) implies: % 185.67/27.78 | | | | | | | | | (135) ssList(all_139_0) = all_748_2 % 185.67/27.78 | | | | | | | | | (136) frontsegP(all_139_0, all_139_0) = all_748_0 % 185.67/27.78 | | | | | | | | | (137) frontsegP(all_143_0, all_139_0) = all_748_1 % 185.67/27.78 | | | | | | | | | (138) ~ (all_748_0 = 0) | ~ (all_748_1 = 0) | ~ % 185.67/27.78 | | | | | | | | | (all_748_2 = 0) % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | DELTA: instantiating (126) with fresh symbols all_750_0, % 185.67/27.78 | | | | | | | | | all_750_1 gives: % 185.67/27.78 | | | | | | | | | (139) tl(all_143_0) = all_750_0 & ssItem(all_361_0) = % 185.67/27.78 | | | | | | | | | all_750_1 & $i(all_750_0) & ( ~ (all_750_1 = 0) | % 185.67/27.78 | | | | | | | | | all_750_0 = all_359_0) % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | ALPHA: (139) implies: % 185.67/27.78 | | | | | | | | | (140) ssItem(all_361_0) = all_750_1 % 185.67/27.78 | | | | | | | | | (141) ~ (all_750_1 = 0) | all_750_0 = all_359_0 % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | DELTA: instantiating (127) with fresh symbols all_752_0, % 185.67/27.78 | | | | | | | | | all_752_1 gives: % 185.67/27.78 | | | | | | | | | (142) hd(all_143_0) = all_752_0 & ssItem(all_361_0) = % 185.67/27.78 | | | | | | | | | all_752_1 & $i(all_752_0) & ( ~ (all_752_1 = 0) | % 185.67/27.78 | | | | | | | | | all_752_0 = all_361_0) % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | ALPHA: (142) implies: % 185.67/27.78 | | | | | | | | | (143) ssItem(all_361_0) = all_752_1 % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | DELTA: instantiating (128) with fresh symbols all_754_0, % 185.67/27.78 | | | | | | | | | all_754_1 gives: % 185.67/27.78 | | | | | | | | | (144) hd(all_139_0) = all_754_0 & ssItem(all_374_0) = % 185.67/27.78 | | | | | | | | | all_754_1 & $i(all_754_0) & ( ~ (all_754_1 = 0) | % 185.67/27.78 | | | | | | | | | all_754_0 = all_374_0) % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | ALPHA: (144) implies: % 185.67/27.78 | | | | | | | | | (145) ssItem(all_374_0) = all_754_1 % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | DELTA: instantiating (129) with fresh symbols all_756_0, % 185.67/27.78 | | | | | | | | | all_756_1 gives: % 185.67/27.78 | | | | | | | | | (146) tl(all_139_0) = all_756_0 & ssItem(all_374_0) = % 185.67/27.78 | | | | | | | | | all_756_1 & $i(all_756_0) & ( ~ (all_756_1 = 0) | % 185.67/27.78 | | | | | | | | | all_756_0 = all_372_0) % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | ALPHA: (146) implies: % 185.67/27.78 | | | | | | | | | (147) $i(all_756_0) % 185.67/27.78 | | | | | | | | | (148) ssItem(all_374_0) = all_756_1 % 185.67/27.78 | | | | | | | | | (149) tl(all_139_0) = all_756_0 % 185.67/27.78 | | | | | | | | | (150) ~ (all_756_1 = 0) | all_756_0 = all_372_0 % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | BETA: splitting (133) gives: % 185.67/27.78 | | | | | | | | | % 185.67/27.78 | | | | | | | | | Case 1: % 185.67/27.78 | | | | | | | | | | % 185.67/27.78 | | | | | | | | | | (151) ? [v0: int] : ( ~ (v0 = 0) & ssList(all_359_0) = % 185.67/27.78 | | | | | | | | | | v0) % 185.67/27.78 | | | | | | | | | | % 185.67/27.78 | | | | | | | | | | DELTA: instantiating (151) with fresh symbol all_778_0 % 185.67/27.78 | | | | | | | | | | gives: % 185.67/27.79 | | | | | | | | | | (152) ~ (all_778_0 = 0) & ssList(all_359_0) = all_778_0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | ALPHA: (152) implies: % 185.67/27.79 | | | | | | | | | | (153) ~ (all_778_0 = 0) % 185.67/27.79 | | | | | | | | | | (154) ssList(all_359_0) = all_778_0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | DELTA: instantiating (151) with fresh symbol all_780_0 % 185.67/27.79 | | | | | | | | | | gives: % 185.67/27.79 | | | | | | | | | | (155) ~ (all_780_0 = 0) & ssList(all_359_0) = all_780_0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | ALPHA: (155) implies: % 185.67/27.79 | | | | | | | | | | (156) ssList(all_359_0) = all_780_0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_780_0, all_359_0, % 185.67/27.79 | | | | | | | | | | simplifying with (88), (156) gives: % 185.67/27.79 | | | | | | | | | | (157) all_780_0 = 0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | GROUND_INST: instantiating (8) with all_778_0, all_780_0, % 185.67/27.79 | | | | | | | | | | all_359_0, simplifying with (154), (156) gives: % 185.67/27.79 | | | | | | | | | | (158) all_780_0 = all_778_0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | COMBINE_EQS: (157), (158) imply: % 185.67/27.79 | | | | | | | | | | (159) all_778_0 = 0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | REDUCE: (153), (159) imply: % 185.67/27.79 | | | | | | | | | | (160) $false % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | CLOSE: (160) is inconsistent. % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | Case 2: % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | (161) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ % 185.67/27.79 | | | | | | | | | | (frontsegP(all_143_0, v1) = v2) | ~ % 185.67/27.79 | | | | | | | | | | (cons(all_374_0, v0) = v1) | ~ $i(v0) | ? [v3: % 185.67/27.79 | | | | | | | | | | any] : ? [v4: any] : (frontsegP(all_359_0, v0) % 185.67/27.79 | | | | | | | | | | = v4 & ssList(v0) = v3 & ( ~ (v3 = 0) | (( ~ % 185.67/27.79 | | | | | | | | | | (v4 = 0) | ~ (all_374_0 = all_361_0) | % 185.67/27.79 | | | | | | | | | | v2 = 0) & ( ~ (v2 = 0) | (v4 = 0 & % 185.67/27.79 | | | | | | | | | | all_374_0 = all_361_0)))))) % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | GROUND_INST: instantiating (161) with all_372_0, all_139_0, 0, % 185.67/27.79 | | | | | | | | | | simplifying with (41), (107), (113) gives: % 185.67/27.79 | | | | | | | | | | (162) ? [v0: any] : ? [v1: any] : (frontsegP(all_359_0, % 185.67/27.79 | | | | | | | | | | all_372_0) = v1 & ssList(all_372_0) = v0 & ( ~ % 185.67/27.79 | | | | | | | | | | (v0 = 0) | (v1 = 0 & all_374_0 = all_361_0))) % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | DELTA: instantiating (162) with fresh symbols all_780_0, % 185.67/27.79 | | | | | | | | | | all_780_1 gives: % 185.67/27.79 | | | | | | | | | | (163) frontsegP(all_359_0, all_372_0) = all_780_0 & % 185.67/27.79 | | | | | | | | | | ssList(all_372_0) = all_780_1 & ( ~ (all_780_1 = 0) % 185.67/27.79 | | | | | | | | | | | (all_780_0 = 0 & all_374_0 = all_361_0)) % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | ALPHA: (163) implies: % 185.67/27.79 | | | | | | | | | | (164) ssList(all_372_0) = all_780_1 % 185.67/27.79 | | | | | | | | | | (165) frontsegP(all_359_0, all_372_0) = all_780_0 % 185.67/27.79 | | | | | | | | | | (166) ~ (all_780_1 = 0) | (all_780_0 = 0 & all_374_0 = % 185.67/27.79 | | | | | | | | | | all_361_0) % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | GROUND_INST: instantiating (7) with 0, all_752_1, all_361_0, % 185.67/27.79 | | | | | | | | | | simplifying with (92), (143) gives: % 185.67/27.79 | | | | | | | | | | (167) all_752_1 = 0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | GROUND_INST: instantiating (7) with all_750_1, all_752_1, % 185.67/27.79 | | | | | | | | | | all_361_0, simplifying with (140), (143) gives: % 185.67/27.79 | | | | | | | | | | (168) all_752_1 = all_750_1 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | GROUND_INST: instantiating (7) with 0, all_756_1, all_374_0, % 185.67/27.79 | | | | | | | | | | simplifying with (112), (148) gives: % 185.67/27.79 | | | | | | | | | | (169) all_756_1 = 0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | GROUND_INST: instantiating (7) with all_754_1, all_756_1, % 185.67/27.79 | | | | | | | | | | all_374_0, simplifying with (145), (148) gives: % 185.67/27.79 | | | | | | | | | | (170) all_756_1 = all_754_1 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_748_2, all_139_0, % 185.67/27.79 | | | | | | | | | | simplifying with (27), (135) gives: % 185.67/27.79 | | | | | | | | | | (171) all_748_2 = 0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_780_1, all_372_0, % 185.67/27.79 | | | | | | | | | | simplifying with (108), (164) gives: % 185.67/27.79 | | | | | | | | | | (172) all_780_1 = 0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_748_1, all_139_0, % 185.67/27.79 | | | | | | | | | | all_143_0, simplifying with (41), (137) gives: % 185.67/27.79 | | | | | | | | | | (173) all_748_1 = 0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | COMBINE_EQS: (169), (170) imply: % 185.67/27.79 | | | | | | | | | | (174) all_754_1 = 0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | COMBINE_EQS: (167), (168) imply: % 185.67/27.79 | | | | | | | | | | (175) all_750_1 = 0 % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | BETA: splitting (150) gives: % 185.67/27.79 | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | Case 1: % 185.67/27.79 | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | (176) ~ (all_756_1 = 0) % 185.67/27.79 | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | REDUCE: (169), (176) imply: % 185.67/27.79 | | | | | | | | | | | (177) $false % 185.67/27.79 | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | CLOSE: (177) is inconsistent. % 185.67/27.79 | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | Case 2: % 185.67/27.79 | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | (178) all_756_0 = all_372_0 % 185.67/27.79 | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | REDUCE: (149), (178) imply: % 185.67/27.79 | | | | | | | | | | | (179) tl(all_139_0) = all_372_0 % 185.67/27.79 | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | BETA: splitting (166) gives: % 185.67/27.79 | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | Case 1: % 185.67/27.79 | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | (180) ~ (all_780_1 = 0) % 185.67/27.79 | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | REDUCE: (172), (180) imply: % 185.67/27.79 | | | | | | | | | | | | (181) $false % 185.67/27.79 | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | CLOSE: (181) is inconsistent. % 185.67/27.79 | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | Case 2: % 185.67/27.79 | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | (182) all_780_0 = 0 & all_374_0 = all_361_0 % 185.67/27.79 | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | ALPHA: (182) implies: % 185.67/27.79 | | | | | | | | | | | | (183) all_374_0 = all_361_0 % 185.67/27.79 | | | | | | | | | | | | (184) all_780_0 = 0 % 185.67/27.79 | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | REDUCE: (165), (184) imply: % 185.67/27.79 | | | | | | | | | | | | (185) frontsegP(all_359_0, all_372_0) = 0 % 185.67/27.79 | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | BETA: splitting (138) gives: % 185.67/27.79 | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | Case 1: % 185.67/27.79 | | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | | (186) ~ (all_748_0 = 0) % 185.67/27.79 | | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | | BETA: splitting (122) gives: % 185.67/27.79 | | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | | Case 1: % 185.67/27.79 | | | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | | | (187) all_372_0 = nil % 185.67/27.79 | | | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | | | REDUCE: (179), (187) imply: % 185.67/27.79 | | | | | | | | | | | | | | (188) tl(all_139_0) = nil % 185.67/27.79 | | | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (ax42) with all_139_0, all_748_0, % 185.67/27.79 | | | | | | | | | | | | | | simplifying with (29), (136) gives: % 185.67/27.79 | | | | | | | | | | | | | | (189) all_748_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 185.67/27.79 | | | | | | | | | | | | | | ssList(all_139_0) = v0) % 185.67/27.79 | | | | | | | | | | | | | | % 185.67/27.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_139_0, nil, simplifying % 185.67/27.79 | | | | | | | | | | | | | | with (29), (188) gives: % 185.67/27.80 | | | | | | | | | | | | | | (190) ? [v0: any] : ? [v1: $i] : (hd(all_139_0) = v1 & % 185.67/27.80 | | | | | | | | | | | | | | ssList(all_139_0) = v0 & $i(v1) & ( ~ (v0 = 0) | % 185.67/27.80 | | | | | | | | | | | | | | ! [v2: any] : (v2 = all_139_0 | v2 = nil | % 185.67/27.80 | | | | | | | | | | | | | | all_139_0 = nil | ~ (tl(v2) = nil) | ~ % 185.67/27.80 | | | | | | | | | | | | | | $i(v2) | ? [v3: any] : ? [v4: $i] : % 185.67/27.80 | | | | | | | | | | | | | | (hd(v2) = v4 & ssList(v2) = v3 & $i(v4) & ( % 185.67/27.80 | | | | | | | | | | | | | | ~ (v4 = v1) | ~ (v3 = 0)))))) % 185.67/27.80 | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | DELTA: instantiating (190) with fresh symbols all_1185_0, % 185.67/27.80 | | | | | | | | | | | | | | all_1185_1 gives: % 185.67/27.80 | | | | | | | | | | | | | | (191) hd(all_139_0) = all_1185_0 & ssList(all_139_0) = % 185.67/27.80 | | | | | | | | | | | | | | all_1185_1 & $i(all_1185_0) & ( ~ (all_1185_1 = 0) % 185.67/27.80 | | | | | | | | | | | | | | | ! [v0: any] : (v0 = all_139_0 | v0 = nil | % 185.67/27.80 | | | | | | | | | | | | | | all_139_0 = nil | ~ (tl(v0) = nil) | ~ % 185.67/27.80 | | | | | | | | | | | | | | $i(v0) | ? [v1: any] : ? [v2: $i] : (hd(v0) % 185.67/27.80 | | | | | | | | | | | | | | = v2 & ssList(v0) = v1 & $i(v2) & ( ~ (v2 = % 185.67/27.80 | | | | | | | | | | | | | | all_1185_0) | ~ (v1 = 0))))) % 185.67/27.80 | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | ALPHA: (191) implies: % 185.67/27.80 | | | | | | | | | | | | | | (192) ssList(all_139_0) = all_1185_1 % 185.67/27.80 | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | BETA: splitting (189) gives: % 185.67/27.80 | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | Case 1: % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | (193) all_748_0 = 0 % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | REDUCE: (186), (193) imply: % 185.67/27.80 | | | | | | | | | | | | | | | (194) $false % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | CLOSE: (194) is inconsistent. % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | Case 2: % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | (195) ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) = % 185.67/27.80 | | | | | | | | | | | | | | | v0) % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | DELTA: instantiating (195) with fresh symbol all_1203_0 % 185.67/27.80 | | | | | | | | | | | | | | | gives: % 185.67/27.80 | | | | | | | | | | | | | | | (196) ~ (all_1203_0 = 0) & ssList(all_139_0) = % 185.67/27.80 | | | | | | | | | | | | | | | all_1203_0 % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | ALPHA: (196) implies: % 185.67/27.80 | | | | | | | | | | | | | | | (197) ~ (all_1203_0 = 0) % 185.67/27.80 | | | | | | | | | | | | | | | (198) ssList(all_139_0) = all_1203_0 % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_1203_0, all_139_0, % 185.67/27.80 | | | | | | | | | | | | | | | simplifying with (27), (198) gives: % 185.67/27.80 | | | | | | | | | | | | | | | (199) all_1203_0 = 0 % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_1185_1, all_1203_0, % 185.67/27.80 | | | | | | | | | | | | | | | all_139_0, simplifying with (192), (198) gives: % 185.67/27.80 | | | | | | | | | | | | | | | (200) all_1203_0 = all_1185_1 % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | COMBINE_EQS: (199), (200) imply: % 185.67/27.80 | | | | | | | | | | | | | | | (201) all_1185_1 = 0 % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | REDUCE: (197), (199) imply: % 185.67/27.80 | | | | | | | | | | | | | | | (202) $false % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | CLOSE: (202) is inconsistent. % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | End of split % 185.67/27.80 | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | Case 2: % 185.67/27.80 | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | (203) ~ (all_372_0 = nil) % 185.67/27.80 | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | BETA: splitting (118) gives: % 185.67/27.80 | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | Case 1: % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | (204) all_359_0 = nil % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | REDUCE: (185), (204) imply: % 185.67/27.80 | | | | | | | | | | | | | | | (205) frontsegP(nil, all_372_0) = 0 % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_372_0, 0, simplifying % 185.67/27.80 | | | | | | | | | | | | | | | with (107), (205) gives: % 185.67/27.80 | | | | | | | | | | | | | | | (206) all_372_0 = nil | ? [v0: int] : ( ~ (v0 = 0) & % 185.67/27.80 | | | | | | | | | | | | | | | ssList(all_372_0) = v0) % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | BETA: splitting (206) gives: % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | Case 1: % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | (207) all_372_0 = nil % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | REDUCE: (203), (207) imply: % 185.67/27.80 | | | | | | | | | | | | | | | | (208) $false % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | CLOSE: (208) is inconsistent. % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | Case 2: % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | (209) ? [v0: int] : ( ~ (v0 = 0) & ssList(all_372_0) = % 185.67/27.80 | | | | | | | | | | | | | | | | v0) % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | DELTA: instantiating (209) with fresh symbol all_776_0 % 185.67/27.80 | | | | | | | | | | | | | | | | gives: % 185.67/27.80 | | | | | | | | | | | | | | | | (210) ~ (all_776_0 = 0) & ssList(all_372_0) = all_776_0 % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | ALPHA: (210) implies: % 185.67/27.80 | | | | | | | | | | | | | | | | (211) ~ (all_776_0 = 0) % 185.67/27.80 | | | | | | | | | | | | | | | | (212) ssList(all_372_0) = all_776_0 % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | DELTA: instantiating (209) with fresh symbol all_778_0 % 185.67/27.80 | | | | | | | | | | | | | | | | gives: % 185.67/27.80 | | | | | | | | | | | | | | | | (213) ~ (all_778_0 = 0) & ssList(all_372_0) = all_778_0 % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | ALPHA: (213) implies: % 185.67/27.80 | | | | | | | | | | | | | | | | (214) ssList(all_372_0) = all_778_0 % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | DELTA: instantiating (162) with fresh symbols all_784_0, % 185.67/27.80 | | | | | | | | | | | | | | | | all_784_1 gives: % 185.67/27.80 | | | | | | | | | | | | | | | | (215) frontsegP(all_359_0, all_372_0) = all_784_0 & % 185.67/27.80 | | | | | | | | | | | | | | | | ssList(all_372_0) = all_784_1 & ( ~ (all_784_1 = % 185.67/27.80 | | | | | | | | | | | | | | | | 0) | (all_784_0 = 0 & all_374_0 = all_361_0)) % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | ALPHA: (215) implies: % 185.67/27.80 | | | | | | | | | | | | | | | | (216) ssList(all_372_0) = all_784_1 % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_778_0, all_372_0, % 185.67/27.80 | | | | | | | | | | | | | | | | simplifying with (108), (214) gives: % 185.67/27.80 | | | | | | | | | | | | | | | | (217) all_778_0 = 0 % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_778_0, all_784_1, % 185.67/27.80 | | | | | | | | | | | | | | | | all_372_0, simplifying with (214), (216) gives: % 185.67/27.80 | | | | | | | | | | | | | | | | (218) all_784_1 = all_778_0 % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_776_0, all_784_1, % 185.67/27.80 | | | | | | | | | | | | | | | | all_372_0, simplifying with (212), (216) gives: % 185.67/27.80 | | | | | | | | | | | | | | | | (219) all_784_1 = all_776_0 % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | COMBINE_EQS: (218), (219) imply: % 185.67/27.80 | | | | | | | | | | | | | | | | (220) all_778_0 = all_776_0 % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | SIMP: (220) implies: % 185.67/27.80 | | | | | | | | | | | | | | | | (221) all_778_0 = all_776_0 % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | COMBINE_EQS: (217), (221) imply: % 185.67/27.80 | | | | | | | | | | | | | | | | (222) all_776_0 = 0 % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | REDUCE: (211), (222) imply: % 185.67/27.80 | | | | | | | | | | | | | | | | (223) $false % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | | CLOSE: (223) is inconsistent. % 185.67/27.80 | | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | End of split % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | Case 2: % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | (224) ? [v0: $i] : (ssList(v0) = 0 & $i(v0) & ? [v1: % 185.67/27.80 | | | | | | | | | | | | | | | $i] : (cons(v1, v0) = all_359_0 & ssItem(v1) = % 185.67/27.80 | | | | | | | | | | | | | | | 0 & $i(v1))) % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | DELTA: instantiating (224) with fresh symbol all_863_0 % 185.67/27.80 | | | | | | | | | | | | | | | gives: % 185.67/27.80 | | | | | | | | | | | | | | | (225) ssList(all_863_0) = 0 & $i(all_863_0) & ? [v0: % 185.67/27.80 | | | | | | | | | | | | | | | $i] : (cons(v0, all_863_0) = all_359_0 & % 185.67/27.80 | | | | | | | | | | | | | | | ssItem(v0) = 0 & $i(v0)) % 185.67/27.80 | | | | | | | | | | | | | | | % 185.67/27.80 | | | | | | | | | | | | | | | ALPHA: (225) implies: % 185.67/27.80 | | | | | | | | | | | | | | | (226) $i(all_863_0) % 185.67/27.81 | | | | | | | | | | | | | | | (227) ssList(all_863_0) = 0 % 185.67/27.81 | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (121) with all_863_0, simplifying % 185.67/27.81 | | | | | | | | | | | | | | | with (226), (227) gives: % 185.67/27.81 | | | | | | | | | | | | | | | (228) ! [v0: $i] : ! [v1: $i] : ( ~ (cons(v0, % 185.67/27.81 | | | | | | | | | | | | | | | all_359_0) = v1) | ~ $i(v0) | ? [v2: int] % 185.67/27.81 | | | | | | | | | | | | | | | : ( ~ (v2 = 0) & ssItem(v0) = v2) | ! [v2: $i] % 185.67/27.81 | | | | | | | | | | | | | | | : ( ~ (cons(v2, all_863_0) = v1) | ~ $i(v2) | % 185.67/27.81 | | | | | | | | | | | | | | | ? [v3: int] : ( ~ (v3 = 0) & ssItem(v2) = v3) % 185.67/27.81 | | | | | | | | | | | | | | | | (v2 = v0 & all_863_0 = all_359_0))) % 185.67/27.81 | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (ax42) with all_139_0, all_748_0, % 185.67/27.81 | | | | | | | | | | | | | | | simplifying with (29), (136) gives: % 185.67/27.81 | | | | | | | | | | | | | | | (229) all_748_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 185.67/27.81 | | | | | | | | | | | | | | | ssList(all_139_0) = v0) % 185.67/27.81 | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_139_0, all_372_0, % 185.67/27.81 | | | | | | | | | | | | | | | simplifying with (29), (179) gives: % 185.67/27.81 | | | | | | | | | | | | | | | (230) ? [v0: any] : ? [v1: $i] : (hd(all_139_0) = v1 & % 185.67/27.81 | | | | | | | | | | | | | | | ssList(all_139_0) = v0 & $i(v1) & ( ~ (v0 = 0) | % 185.67/27.81 | | | | | | | | | | | | | | | ! [v2: any] : (v2 = all_139_0 | v2 = nil | % 185.67/27.81 | | | | | | | | | | | | | | | all_139_0 = nil | ~ (tl(v2) = all_372_0) | % 185.67/27.81 | | | | | | | | | | | | | | | ~ $i(v2) | ? [v3: any] : ? [v4: $i] : % 185.67/27.81 | | | | | | | | | | | | | | | (hd(v2) = v4 & ssList(v2) = v3 & $i(v4) & ( % 185.67/27.81 | | | | | | | | | | | | | | | ~ (v4 = v1) | ~ (v3 = 0)))))) % 185.67/27.81 | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (228) with all_361_0, all_143_0, % 185.67/27.81 | | | | | | | | | | | | | | | simplifying with (91), (93) gives: % 185.67/27.81 | | | | | | | | | | | | | | | (231) ? [v0: int] : ( ~ (v0 = 0) & ssItem(all_361_0) = % 185.67/27.81 | | | | | | | | | | | | | | | v0) | ! [v0: $i] : ( ~ (cons(v0, all_863_0) = % 185.67/27.81 | | | | | | | | | | | | | | | all_143_0) | ~ $i(v0) | ? [v1: int] : ( ~ % 185.67/27.81 | | | | | | | | | | | | | | | (v1 = 0) & ssItem(v0) = v1) | (v0 = all_361_0 % 185.67/27.81 | | | | | | | | | | | | | | | & all_863_0 = all_359_0)) % 185.67/27.81 | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | DELTA: instantiating (230) with fresh symbols all_1937_0, % 185.67/27.81 | | | | | | | | | | | | | | | all_1937_1 gives: % 185.67/27.81 | | | | | | | | | | | | | | | (232) hd(all_139_0) = all_1937_0 & ssList(all_139_0) = % 185.67/27.81 | | | | | | | | | | | | | | | all_1937_1 & $i(all_1937_0) & ( ~ (all_1937_1 = 0) % 185.67/27.81 | | | | | | | | | | | | | | | | ! [v0: any] : (v0 = all_139_0 | v0 = nil | % 185.67/27.81 | | | | | | | | | | | | | | | all_139_0 = nil | ~ (tl(v0) = all_372_0) | ~ % 185.67/27.81 | | | | | | | | | | | | | | | $i(v0) | ? [v1: any] : ? [v2: $i] : (hd(v0) % 185.67/27.81 | | | | | | | | | | | | | | | = v2 & ssList(v0) = v1 & $i(v2) & ( ~ (v2 = % 185.67/27.81 | | | | | | | | | | | | | | | all_1937_0) | ~ (v1 = 0))))) % 185.67/27.81 | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | ALPHA: (232) implies: % 185.67/27.81 | | | | | | | | | | | | | | | (233) ssList(all_139_0) = all_1937_1 % 185.67/27.81 | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | BETA: splitting (229) gives: % 185.67/27.81 | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | Case 1: % 185.67/27.81 | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | (234) all_748_0 = 0 % 185.67/27.81 | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | REDUCE: (186), (234) imply: % 185.67/27.81 | | | | | | | | | | | | | | | | (235) $false % 185.67/27.81 | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent. % 185.67/27.81 | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | Case 2: % 185.67/27.81 | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | (236) ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) = % 185.67/27.81 | | | | | | | | | | | | | | | | v0) % 185.67/27.81 | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | BETA: splitting (231) gives: % 185.67/27.81 | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | Case 1: % 185.67/27.81 | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | (237) ? [v0: int] : ( ~ (v0 = 0) & ssItem(all_361_0) = % 185.67/27.81 | | | | | | | | | | | | | | | | | v0) % 185.67/27.81 | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | DELTA: instantiating (237) with fresh symbol all_820_0 % 185.67/27.81 | | | | | | | | | | | | | | | | | gives: % 185.67/27.81 | | | | | | | | | | | | | | | | | (238) ~ (all_820_0 = 0) & ssItem(all_361_0) = all_820_0 % 185.67/27.81 | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | ALPHA: (238) implies: % 185.67/27.81 | | | | | | | | | | | | | | | | | (239) ~ (all_820_0 = 0) % 185.67/27.81 | | | | | | | | | | | | | | | | | (240) ssItem(all_361_0) = all_820_0 % 185.67/27.81 | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | BETA: splitting (141) gives: % 185.67/27.81 | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | Case 1: % 185.67/27.81 | | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | | (241) ~ (all_750_1 = 0) % 185.67/27.81 | | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | | REDUCE: (175), (241) imply: % 185.67/27.81 | | | | | | | | | | | | | | | | | | (242) $false % 185.67/27.81 | | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | | CLOSE: (242) is inconsistent. % 185.67/27.81 | | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | Case 2: % 185.67/27.81 | | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | | DELTA: instantiating (237) with fresh symbol all_829_0 % 185.67/27.81 | | | | | | | | | | | | | | | | | | gives: % 185.67/27.81 | | | | | | | | | | | | | | | | | | (243) ~ (all_829_0 = 0) & ssItem(all_361_0) = all_829_0 % 185.67/27.81 | | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | | ALPHA: (243) implies: % 185.67/27.81 | | | | | | | | | | | | | | | | | | (244) ssItem(all_361_0) = all_829_0 % 185.67/27.81 | | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | | DELTA: instantiating (237) with fresh symbol all_831_0 % 185.67/27.81 | | | | | | | | | | | | | | | | | | gives: % 185.67/27.81 | | | | | | | | | | | | | | | | | | (245) ~ (all_831_0 = 0) & ssItem(all_361_0) = all_831_0 % 185.67/27.81 | | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | | ALPHA: (245) implies: % 185.67/27.81 | | | | | | | | | | | | | | | | | | (246) ssItem(all_361_0) = all_831_0 % 185.67/27.81 | | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives: % 185.67/27.81 | | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | | Case 1: % 185.67/27.81 | | | | | | | | | | | | | | | | | | | % 185.67/27.81 | | | | | | | | | | | | | | | | | | | (247) ? [v0: int] : ( ~ (v0 = 0) & ssItem(all_374_0) = % 185.67/27.81 | | | | | | | | | | | | | | | | | | | v0) % 185.96/27.81 | | | | | | | | | | | | | | | | | | | % 185.96/27.81 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (237) with fresh symbol all_848_0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | gives: % 185.96/27.81 | | | | | | | | | | | | | | | | | | | (248) ~ (all_848_0 = 0) & ssItem(all_361_0) = all_848_0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | % 185.96/27.81 | | | | | | | | | | | | | | | | | | | ALPHA: (248) implies: % 185.96/27.81 | | | | | | | | | | | | | | | | | | | (249) ssItem(all_361_0) = all_848_0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | % 185.96/27.81 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (247) with fresh symbol all_850_0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | gives: % 185.96/27.81 | | | | | | | | | | | | | | | | | | | (250) ~ (all_850_0 = 0) & ssItem(all_374_0) = all_850_0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | % 185.96/27.81 | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies: % 185.96/27.81 | | | | | | | | | | | | | | | | | | | (251) ssItem(all_374_0) = all_850_0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | % 185.96/27.81 | | | | | | | | | | | | | | | | | | | REDUCE: (183), (251) imply: % 185.96/27.81 | | | | | | | | | | | | | | | | | | | (252) ssItem(all_361_0) = all_850_0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | % 185.96/27.81 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with 0, all_829_0, all_361_0, % 185.96/27.81 | | | | | | | | | | | | | | | | | | | simplifying with (92), (244) gives: % 185.96/27.81 | | | | | | | | | | | | | | | | | | | (253) all_829_0 = 0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | % 185.96/27.81 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_831_0, all_848_0, % 185.96/27.81 | | | | | | | | | | | | | | | | | | | all_361_0, simplifying with (246), (249) gives: % 185.96/27.81 | | | | | | | | | | | | | | | | | | | (254) all_848_0 = all_831_0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | % 185.96/27.81 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_829_0, all_848_0, % 185.96/27.81 | | | | | | | | | | | | | | | | | | | all_361_0, simplifying with (244), (249) gives: % 185.96/27.81 | | | | | | | | | | | | | | | | | | | (255) all_848_0 = all_829_0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | % 185.96/27.81 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_848_0, all_850_0, % 185.96/27.81 | | | | | | | | | | | | | | | | | | | all_361_0, simplifying with (249), (252) gives: % 185.96/27.81 | | | | | | | | | | | | | | | | | | | (256) all_850_0 = all_848_0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | % 185.96/27.81 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_820_0, all_850_0, % 185.96/27.81 | | | | | | | | | | | | | | | | | | | all_361_0, simplifying with (240), (252) gives: % 185.96/27.81 | | | | | | | | | | | | | | | | | | | (257) all_850_0 = all_820_0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | % 185.96/27.81 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (257) imply: % 185.96/27.81 | | | | | | | | | | | | | | | | | | | (258) all_848_0 = all_820_0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | % 185.96/27.81 | | | | | | | | | | | | | | | | | | | SIMP: (258) implies: % 185.96/27.81 | | | | | | | | | | | | | | | | | | | (259) all_848_0 = all_820_0 % 185.96/27.81 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (255) imply: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (260) all_831_0 = all_829_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (259) imply: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (261) all_831_0 = all_820_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (261) imply: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (262) all_829_0 = all_820_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | SIMP: (262) implies: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (263) all_829_0 = all_820_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (263) imply: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (264) all_820_0 = 0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | REDUCE: (239), (264) imply: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (265) $false % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | CLOSE: (265) is inconsistent. % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | Case 2: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (237) with fresh symbol all_849_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | gives: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (266) ~ (all_849_0 = 0) & ssItem(all_361_0) = all_849_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | ALPHA: (266) implies: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (267) ssItem(all_361_0) = all_849_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with 0, all_831_0, all_361_0, % 185.96/27.82 | | | | | | | | | | | | | | | | | | | simplifying with (92), (246) gives: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (268) all_831_0 = 0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_829_0, all_831_0, % 185.96/27.82 | | | | | | | | | | | | | | | | | | | all_361_0, simplifying with (244), (246) gives: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (269) all_831_0 = all_829_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_829_0, all_849_0, % 185.96/27.82 | | | | | | | | | | | | | | | | | | | all_361_0, simplifying with (244), (267) gives: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (270) all_849_0 = all_829_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_820_0, all_849_0, % 185.96/27.82 | | | | | | | | | | | | | | | | | | | all_361_0, simplifying with (240), (267) gives: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (271) all_849_0 = all_820_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (271) imply: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (272) all_829_0 = all_820_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | SIMP: (272) implies: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (273) all_829_0 = all_820_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (269) imply: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (274) all_829_0 = 0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | SIMP: (274) implies: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (275) all_829_0 = 0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (275) imply: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (276) all_820_0 = 0 % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | REDUCE: (239), (276) imply: % 185.96/27.82 | | | | | | | | | | | | | | | | | | | (277) $false % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | | CLOSE: (277) is inconsistent. % 185.96/27.82 | | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | | End of split % 185.96/27.82 | | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | End of split % 185.96/27.82 | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | Case 2: % 185.96/27.82 | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | DELTA: instantiating (236) with fresh symbol all_1962_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | gives: % 185.96/27.82 | | | | | | | | | | | | | | | | | (278) ~ (all_1962_0 = 0) & ssList(all_139_0) = % 185.96/27.82 | | | | | | | | | | | | | | | | | all_1962_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | ALPHA: (278) implies: % 185.96/27.82 | | | | | | | | | | | | | | | | | (279) ~ (all_1962_0 = 0) % 185.96/27.82 | | | | | | | | | | | | | | | | | (280) ssList(all_139_0) = all_1962_0 % 185.96/27.82 | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_1962_0, all_139_0, % 185.96/27.82 | | | | | | | | | | | | | | | | | simplifying with (27), (280) gives: % 185.96/27.82 | | | | | | | | | | | | | | | | | (281) all_1962_0 = 0 % 185.96/27.82 | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_1937_1, all_1962_0, % 185.96/27.82 | | | | | | | | | | | | | | | | | all_139_0, simplifying with (233), (280) gives: % 185.96/27.82 | | | | | | | | | | | | | | | | | (282) all_1962_0 = all_1937_1 % 185.96/27.82 | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (282) imply: % 185.96/27.82 | | | | | | | | | | | | | | | | | (283) all_1937_1 = 0 % 185.96/27.82 | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | REDUCE: (279), (281) imply: % 185.96/27.82 | | | | | | | | | | | | | | | | | (284) $false % 185.96/27.82 | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | | CLOSE: (284) is inconsistent. % 185.96/27.82 | | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | | End of split % 185.96/27.82 | | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | | End of split % 185.96/27.82 | | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | End of split % 185.96/27.82 | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | End of split % 185.96/27.82 | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | Case 2: % 185.96/27.82 | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | (285) ~ (all_748_1 = 0) | ~ (all_748_2 = 0) % 185.96/27.82 | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | BETA: splitting (285) gives: % 185.96/27.82 | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | Case 1: % 185.96/27.82 | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | (286) ~ (all_748_1 = 0) % 185.96/27.82 | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | REDUCE: (173), (286) imply: % 185.96/27.82 | | | | | | | | | | | | | | (287) $false % 185.96/27.82 | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | CLOSE: (287) is inconsistent. % 185.96/27.82 | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | Case 2: % 185.96/27.82 | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | (288) ~ (all_748_2 = 0) % 185.96/27.82 | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | REDUCE: (171), (288) imply: % 185.96/27.82 | | | | | | | | | | | | | | (289) $false % 185.96/27.82 | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | | CLOSE: (289) is inconsistent. % 185.96/27.82 | | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | | End of split % 185.96/27.82 | | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | | End of split % 185.96/27.82 | | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | | End of split % 185.96/27.82 | | | | | | | | | | | % 185.96/27.82 | | | | | | | | | | End of split % 185.96/27.82 | | | | | | | | | | % 185.96/27.82 | | | | | | | | | End of split % 185.96/27.82 | | | | | | | | | % 185.96/27.82 | | | | | | | | End of split % 185.96/27.82 | | | | | | | | % 185.96/27.82 | | | | | | | End of split % 185.96/27.82 | | | | | | | % 185.96/27.82 | | | | | | End of split % 185.96/27.82 | | | | | | % 185.96/27.82 | | | | | Case 2: % 185.96/27.82 | | | | | | % 185.96/27.82 | | | | | | (290) ~ (all_145_0 = 0) % 185.96/27.82 | | | | | | % 185.96/27.82 | | | | | | REDUCE: (39), (290) imply: % 185.96/27.82 | | | | | | (291) $false % 185.96/27.82 | | | | | | % 185.96/27.82 | | | | | | CLOSE: (291) is inconsistent. % 185.96/27.82 | | | | | | % 185.96/27.82 | | | | | End of split % 185.96/27.82 | | | | | % 185.96/27.82 | | | | End of split % 185.96/27.82 | | | | % 185.96/27.82 | | | End of split % 185.96/27.82 | | | % 185.96/27.82 | | Case 2: % 185.96/27.82 | | | % 185.96/27.82 | | | (292) all_143_0 = nil & all_139_0 = nil % 185.96/27.82 | | | % 185.96/27.82 | | | ALPHA: (292) implies: % 185.96/27.82 | | | (293) all_143_0 = nil % 185.96/27.82 | | | % 185.96/27.82 | | | REDUCE: (37), (293) imply: % 185.96/27.82 | | | (294) $false % 185.96/27.82 | | | % 185.96/27.82 | | | CLOSE: (294) is inconsistent. % 185.96/27.82 | | | % 185.96/27.82 | | End of split % 185.96/27.82 | | % 185.96/27.82 | Case 2: % 185.96/27.82 | | % 185.96/27.82 | | (295) all_143_0 = nil % 185.96/27.82 | | (296) ~ (all_139_0 = nil) % 185.96/27.82 | | % 185.96/27.82 | | REDUCE: (23), (295) imply: % 185.96/27.82 | | (297) frontsegP(nil, all_139_0) = all_147_0 % 185.96/27.82 | | % 185.96/27.82 | | BETA: splitting (24) gives: % 185.96/27.82 | | % 185.96/27.82 | | Case 1: % 185.96/27.82 | | | % 185.96/27.82 | | | (298) all_147_0 = 0 & all_145_0 = 0 % 185.96/27.82 | | | % 185.96/27.82 | | | ALPHA: (298) implies: % 185.96/27.82 | | | (299) all_145_0 = 0 % 185.96/27.82 | | | (300) all_147_0 = 0 % 185.96/27.82 | | | % 185.96/27.82 | | | REDUCE: (297), (300) imply: % 185.96/27.82 | | | (301) frontsegP(nil, all_139_0) = 0 % 185.96/27.82 | | | % 185.96/27.82 | | | REDUCE: (28), (299) imply: % 185.96/27.82 | | | (302) neq(all_139_0, nil) = 0 % 185.96/27.82 | | | % 185.96/27.82 | | | GROUND_INST: instantiating (26) with all_139_0, simplifying with (29), % 185.96/27.82 | | | (302) gives: % 185.96/27.82 | | | (303) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 185.96/27.82 | | | (frontsegP(all_143_0, all_139_0) = v1 & frontsegP(all_139_0, % 185.96/27.82 | | | all_139_0) = v2 & ssList(all_139_0) = v0 & ( ~ (v2 = 0) | ~ % 185.96/27.82 | | | (v1 = 0) | ~ (v0 = 0))) % 185.96/27.82 | | | % 185.96/27.82 | | | GROUND_INST: instantiating (30) with all_139_0, simplifying with (29), % 185.96/27.82 | | | (301) gives: % 185.96/27.82 | | | (304) all_139_0 = nil | ? [v0: any] : ? [v1: any] : % 185.96/27.82 | | | (frontsegP(all_139_0, nil) = v1 & ssList(all_139_0) = v0 & ( ~ % 185.96/27.82 | | | (v1 = 0) | ~ (v0 = 0))) % 185.96/27.82 | | | % 185.96/27.82 | | | GROUND_INST: instantiating (3) with all_139_0, 0, simplifying with (29), % 185.96/27.82 | | | (301) gives: % 185.96/27.82 | | | (305) all_139_0 = nil | ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) % 185.96/27.82 | | | = v0) % 185.96/27.82 | | | % 185.96/27.82 | | | DELTA: instantiating (303) with fresh symbols all_563_0, all_563_1, % 185.96/27.82 | | | all_563_2 gives: % 185.96/27.83 | | | (306) frontsegP(all_143_0, all_139_0) = all_563_1 & % 185.96/27.83 | | | frontsegP(all_139_0, all_139_0) = all_563_0 & ssList(all_139_0) = % 185.96/27.83 | | | all_563_2 & ( ~ (all_563_0 = 0) | ~ (all_563_1 = 0) | ~ % 185.96/27.83 | | | (all_563_2 = 0)) % 185.96/27.83 | | | % 185.96/27.83 | | | ALPHA: (306) implies: % 185.96/27.83 | | | (307) ssList(all_139_0) = all_563_2 % 185.96/27.83 | | | % 185.96/27.83 | | | BETA: splitting (305) gives: % 185.96/27.83 | | | % 185.96/27.83 | | | Case 1: % 185.96/27.83 | | | | % 185.96/27.83 | | | | (308) all_139_0 = nil % 185.96/27.83 | | | | % 185.96/27.83 | | | | REDUCE: (296), (308) imply: % 185.96/27.83 | | | | (309) $false % 185.96/27.83 | | | | % 185.96/27.83 | | | | CLOSE: (309) is inconsistent. % 185.96/27.83 | | | | % 185.96/27.83 | | | Case 2: % 185.96/27.83 | | | | % 185.96/27.83 | | | | (310) ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) = v0) % 185.96/27.83 | | | | % 185.96/27.83 | | | | DELTA: instantiating (310) with fresh symbol all_573_0 gives: % 185.96/27.83 | | | | (311) ~ (all_573_0 = 0) & ssList(all_139_0) = all_573_0 % 185.96/27.83 | | | | % 185.96/27.83 | | | | ALPHA: (311) implies: % 185.96/27.83 | | | | (312) ~ (all_573_0 = 0) % 185.96/27.83 | | | | (313) ssList(all_139_0) = all_573_0 % 185.96/27.83 | | | | % 185.96/27.83 | | | | BETA: splitting (304) gives: % 185.96/27.83 | | | | % 185.96/27.83 | | | | Case 1: % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | (314) all_139_0 = nil % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | REDUCE: (296), (314) imply: % 185.96/27.83 | | | | | (315) $false % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | CLOSE: (315) is inconsistent. % 185.96/27.83 | | | | | % 185.96/27.83 | | | | Case 2: % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | (316) ? [v0: any] : ? [v1: any] : (frontsegP(all_139_0, nil) = v1 % 185.96/27.83 | | | | | & ssList(all_139_0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | DELTA: instantiating (316) with fresh symbols all_594_0, all_594_1 % 185.96/27.83 | | | | | gives: % 185.96/27.83 | | | | | (317) frontsegP(all_139_0, nil) = all_594_0 & ssList(all_139_0) = % 185.96/27.83 | | | | | all_594_1 & ( ~ (all_594_0 = 0) | ~ (all_594_1 = 0)) % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | ALPHA: (317) implies: % 185.96/27.83 | | | | | (318) ssList(all_139_0) = all_594_1 % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | GROUND_INST: instantiating (8) with 0, all_573_0, all_139_0, % 185.96/27.83 | | | | | simplifying with (27), (313) gives: % 185.96/27.83 | | | | | (319) all_573_0 = 0 % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | GROUND_INST: instantiating (8) with all_573_0, all_594_1, all_139_0, % 185.96/27.83 | | | | | simplifying with (313), (318) gives: % 185.96/27.83 | | | | | (320) all_594_1 = all_573_0 % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | GROUND_INST: instantiating (8) with all_563_2, all_594_1, all_139_0, % 185.96/27.83 | | | | | simplifying with (307), (318) gives: % 185.96/27.83 | | | | | (321) all_594_1 = all_563_2 % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | COMBINE_EQS: (320), (321) imply: % 185.96/27.83 | | | | | (322) all_573_0 = all_563_2 % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | SIMP: (322) implies: % 185.96/27.83 | | | | | (323) all_573_0 = all_563_2 % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | COMBINE_EQS: (319), (323) imply: % 185.96/27.83 | | | | | (324) all_563_2 = 0 % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | REDUCE: (312), (319) imply: % 185.96/27.83 | | | | | (325) $false % 185.96/27.83 | | | | | % 185.96/27.83 | | | | | CLOSE: (325) is inconsistent. % 185.96/27.83 | | | | | % 185.96/27.83 | | | | End of split % 185.96/27.83 | | | | % 185.96/27.83 | | | End of split % 185.96/27.83 | | | % 185.96/27.83 | | Case 2: % 185.96/27.83 | | | % 185.96/27.83 | | | (326) all_143_0 = nil & all_139_0 = nil % 185.96/27.83 | | | % 185.96/27.83 | | | ALPHA: (326) implies: % 185.96/27.83 | | | (327) all_139_0 = nil % 185.96/27.83 | | | % 185.96/27.83 | | | REDUCE: (296), (327) imply: % 185.96/27.83 | | | (328) $false % 185.96/27.83 | | | % 185.96/27.83 | | | CLOSE: (328) is inconsistent. % 185.96/27.83 | | | % 185.96/27.83 | | End of split % 185.96/27.83 | | % 185.96/27.83 | End of split % 185.96/27.83 | % 185.96/27.83 End of proof % 185.96/27.83 % SZS output end Proof for theBenchmark % 185.96/27.83 % 185.96/27.83 27213ms %------------------------------------------------------------------------------