%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SET773+4 : TPTP v8.1.2. Released v2.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n014.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 15:26:23 EDT 2023 % Result : Theorem 18.58s 6.28s % Output : Proof 37.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.18 % Problem : SET773+4 : TPTP v8.1.2. Released v2.2.0. % 0.11/0.19 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.41 % Computer : n014.cluster.edu % 0.13/0.41 % Model : x86_64 x86_64 % 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.41 % Memory : 8042.1875MB % 0.13/0.41 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.41 % CPULimit : 300 % 0.13/0.41 % WCLimit : 300 % 0.13/0.41 % DateTime : Sat Aug 26 12:58:02 EDT 2023 % 0.13/0.41 % CPUTime : % 0.20/0.80 ________ _____ % 0.20/0.80 ___ __ \_________(_)________________________________ % 0.20/0.80 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.80 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.80 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.80 % 0.20/0.80 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.80 (2023-06-19) % 0.20/0.80 % 0.20/0.80 (c) Philipp Rümmer, 2009-2023 % 0.20/0.80 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.80 Amanda Stjerna. % 0.20/0.80 Free software under BSD-3-Clause. % 0.20/0.80 % 0.20/0.80 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.80 % 0.20/0.80 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.82 Running up to 7 provers in parallel. % 0.56/0.88 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.56/0.88 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.56/0.88 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.56/0.88 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.56/0.88 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.56/0.88 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.56/0.88 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.75/1.89 Prover 1: Preprocessing ... % 1.75/1.89 Prover 4: Preprocessing ... % 3.53/2.05 Prover 5: Preprocessing ... % 3.53/2.05 Prover 6: Preprocessing ... % 3.53/2.05 Prover 3: Preprocessing ... % 3.53/2.05 Prover 2: Preprocessing ... % 3.53/2.05 Prover 0: Preprocessing ... % 8.38/3.56 Prover 6: Proving ... % 8.38/3.56 Prover 5: Proving ... % 8.38/3.62 Prover 2: Proving ... % 8.38/3.68 Prover 1: Constructing countermodel ... % 8.38/3.69 Prover 3: Constructing countermodel ... % 10.92/4.11 Prover 0: Proving ... % 10.92/4.11 Prover 4: Constructing countermodel ... % 10.92/4.14 Prover 3: gave up % 10.92/4.16 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 10.92/4.16 Prover 1: gave up % 11.27/4.17 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 11.55/4.30 Prover 7: Preprocessing ... % 11.55/4.30 Prover 8: Preprocessing ... % 11.78/4.61 Prover 7: Warning: ignoring some quantifiers % 12.22/4.71 Prover 7: Constructing countermodel ... % 13.80/4.92 Prover 8: Warning: ignoring some quantifiers % 13.80/4.96 Prover 8: Constructing countermodel ... % 14.55/5.18 Prover 7: gave up % 14.55/5.20 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 14.55/5.33 Prover 9: Preprocessing ... % 14.55/5.39 Prover 8: gave up % 14.55/5.40 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 15.26/5.54 Prover 10: Preprocessing ... % 17.05/5.69 Prover 10: Warning: ignoring some quantifiers % 17.14/5.74 Prover 10: Constructing countermodel ... % 17.97/5.96 Prover 10: gave up % 17.97/5.97 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 18.43/6.12 Prover 11: Preprocessing ... % 18.43/6.20 Prover 9: Constructing countermodel ... % 18.58/6.28 Prover 0: proved (5422ms) % 18.58/6.28 % 18.58/6.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 18.58/6.28 % 18.58/6.28 Prover 2: stopped % 18.58/6.29 Prover 6: stopped % 19.54/6.31 Prover 9: stopped % 19.54/6.31 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 19.54/6.31 Prover 5: stopped % 19.54/6.31 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 19.54/6.31 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 19.54/6.32 Prover 13: Preprocessing ... % 19.54/6.38 Prover 16: Preprocessing ... % 19.95/6.39 Prover 19: Preprocessing ... % 20.48/6.52 Prover 13: Warning: ignoring some quantifiers % 20.48/6.54 Prover 16: Warning: ignoring some quantifiers % 20.48/6.57 Prover 16: Constructing countermodel ... % 20.48/6.58 Prover 13: Constructing countermodel ... % 21.22/6.74 Prover 11: Constructing countermodel ... % 21.22/6.89 Prover 19: Warning: ignoring some quantifiers % 21.22/6.97 Prover 19: Constructing countermodel ... % 25.79/7.99 Prover 19: gave up % 33.04/9.93 Prover 4: Found proof (size 684) % 33.04/9.93 Prover 4: proved (9058ms) % 33.12/9.94 Prover 11: stopped % 33.12/9.94 Prover 16: stopped % 33.12/9.97 Prover 13: stopped % 33.12/9.97 % 33.12/9.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 33.12/9.97 % 35.17/10.64 % SZS output start Proof for theBenchmark % 35.17/10.66 Assumptions after simplification: % 35.17/10.66 --------------------------------- % 35.17/10.66 % 35.17/10.66 (equivalence) % 35.62/10.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 35.62/10.80 int] : (v5 = 0 | ~ (equivalence(v1, v0) = 0) | ~ (apply(v1, v3, v4) = 0) | % 35.62/10.80 ~ (apply(v1, v2, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) % 35.62/10.80 | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : % 35.62/10.80 (apply(v1, v2, v3) = v9 & member(v4, v0) = v8 & member(v3, v0) = v7 & % 35.62/10.80 member(v2, v0) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = % 35.62/10.80 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 35.62/10.80 [v4: $i] : ! [v5: int] : (v5 = 0 | ~ (equivalence(v1, v0) = 0) | ~ % 35.62/10.80 (apply(v1, v2, v4) = v5) | ~ (apply(v1, v2, v3) = 0) | ~ $i(v4) | ~ % 35.62/10.80 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 35.62/10.80 ? [v8: any] : ? [v9: any] : (apply(v1, v3, v4) = v9 & member(v4, v0) = v8 & % 35.62/10.80 member(v3, v0) = v7 & member(v2, v0) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | % 35.62/10.80 ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 35.62/10.80 ! [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~ (equivalence(v1, v0) = % 35.62/10.80 0) | ~ (apply(v1, v2, v4) = v5) | ~ (member(v3, v0) = 0) | ~ $i(v4) | % 35.62/10.80 ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 35.62/10.80 ? [v8: any] : ? [v9: any] : (apply(v1, v3, v4) = v9 & apply(v1, v2, v3) = % 35.62/10.80 v8 & member(v4, v0) = v7 & member(v2, v0) = v6 & ( ~ (v9 = 0) | ~ (v8 = % 35.73/10.80 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! % 35.73/10.80 [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (equivalence(v1, v0) = 0) % 35.73/10.80 | ~ (apply(v1, v3, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 35.73/10.81 $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : (apply(v1, v2, v3) = % 35.73/10.81 v7 & member(v3, v0) = v6 & member(v2, v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = % 35.73/10.81 0) | ~ (v5 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 35.73/10.81 [v3: $i] : ! [v4: $i] : ( ~ (equivalence(v1, v0) = 0) | ~ (apply(v1, v3, v4) % 35.73/10.81 = 0) | ~ (apply(v1, v2, v3) = 0) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 35.73/10.81 $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: % 35.73/10.81 any] : (apply(v1, v2, v4) = v8 & member(v4, v0) = v7 & member(v3, v0) = v6 % 35.73/10.81 & member(v2, v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v8 = % 35.73/10.81 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 35.73/10.81 $i] : ( ~ (equivalence(v1, v0) = 0) | ~ (apply(v1, v3, v4) = 0) | ~ % 35.73/10.81 (member(v2, v0) = 0) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 35.73/10.81 $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : % 35.73/10.81 (apply(v1, v2, v4) = v8 & apply(v1, v2, v3) = v7 & member(v4, v0) = v6 & % 35.73/10.81 member(v3, v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0))) % 35.73/10.81 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 35.73/10.81 (equivalence(v1, v0) = 0) | ~ (apply(v1, v2, v3) = 0) | ~ (member(v4, v0) % 35.73/10.81 = 0) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: % 35.73/10.81 any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : (apply(v1, v3, v4) = % 35.73/10.81 v7 & apply(v1, v2, v4) = v8 & member(v3, v0) = v6 & member(v2, v0) = v5 & % 35.73/10.82 ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0))) & ! [v0: $i] : ! % 35.73/10.82 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (equivalence(v1, v0) % 35.73/10.82 = 0) | ~ (member(v4, v0) = 0) | ~ (member(v3, v0) = 0) | ~ (member(v2, % 35.73/10.82 v0) = 0) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 35.73/10.82 ? [v5: any] : ? [v6: any] : ? [v7: any] : (apply(v1, v3, v4) = v6 & % 35.73/10.82 apply(v1, v2, v4) = v7 & apply(v1, v2, v3) = v5 & ( ~ (v6 = 0) | ~ (v5 = % 35.73/10.82 0) | v7 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 35.73/10.82 int] : (v3 = 0 | ~ (equivalence(v1, v0) = 0) | ~ (apply(v1, v2, v2) = v3) % 35.73/10.82 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & % 35.73/10.82 member(v2, v0) = v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 35.73/10.82 $i] : ( ~ (equivalence(v1, v0) = 0) | ~ (apply(v1, v2, v3) = 0) | ~ $i(v3) % 35.73/10.82 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: % 35.73/10.82 any] : (apply(v1, v3, v2) = v6 & member(v3, v0) = v5 & member(v2, v0) = v4 % 35.73/10.82 & ( ~ (v5 = 0) | ~ (v4 = 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! % 35.73/10.82 [v2: int] : (v2 = 0 | ~ (equivalence(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | % 35.73/10.82 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ? % 35.73/10.82 [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12: $i] : ? % 35.73/10.82 [v13: $i] : ? [v14: int] : ? [v15: int] : ? [v16: int] : ? [v17: int] : % 35.73/10.82 ? [v18: $i] : ? [v19: int] : ? [v20: int] : ($i(v18) & $i(v13) & $i(v12) & % 35.73/10.82 $i(v5) & $i(v4) & $i(v3) & ((v19 = 0 & ~ (v20 = 0) & apply(v1, v18, v18) % 35.73/10.82 = v20 & member(v18, v0) = 0) | (v16 = 0 & v15 = 0 & v14 = 0 & ~ (v17 % 35.73/10.82 = 0) & apply(v1, v13, v12) = v17 & apply(v1, v12, v13) = 0 & % 35.73/10.82 member(v13, v0) = 0 & member(v12, v0) = 0) | (v10 = 0 & v9 = 0 & v8 = % 35.73/10.82 0 & v7 = 0 & v6 = 0 & ~ (v11 = 0) & apply(v1, v4, v5) = 0 & apply(v1, % 35.73/10.82 v3, v5) = v11 & apply(v1, v3, v4) = 0 & member(v5, v0) = 0 & % 35.73/10.82 member(v4, v0) = 0 & member(v3, v0) = 0)))) & ! [v0: $i] : ! [v1: % 35.73/10.82 $i] : ! [v2: $i] : ( ~ (equivalence(v1, v0) = 0) | ~ (member(v2, v0) = 0) % 35.73/10.82 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | apply(v1, v2, v2) = 0) % 35.73/10.82 % 35.73/10.82 (thIII09) % 35.79/10.83 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ( ~ (v4 % 35.79/10.84 = 0) & equivalence(v3, v0) = v4 & equivalence(v2, v0) = 0 & % 35.79/10.84 equivalence(v1, v0) = 0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : % 35.79/10.84 ! [v6: $i] : ! [v7: any] : ( ~ (apply(v3, v5, v6) = v7) | ~ $i(v6) | ~ % 35.79/10.84 $i(v5) | ? [v8: any] : ? [v9: any] : ? [v10: any] : ? [v11: any] : % 35.79/10.84 (apply(v2, v5, v6) = v11 & apply(v1, v5, v6) = v10 & member(v6, v0) = v9 & % 35.79/10.84 member(v5, v0) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | (( ~ (v11 = 0) | ~ % 35.79/10.84 (v10 = 0) | v7 = 0) & ( ~ (v7 = 0) | (v11 = 0 & v10 = 0)))))) & ! % 35.79/10.84 [v5: $i] : ! [v6: $i] : ! [v7: any] : ( ~ (apply(v2, v5, v6) = v7) | ~ % 35.79/10.84 $i(v6) | ~ $i(v5) | ? [v8: any] : ? [v9: any] : ? [v10: any] : ? % 35.79/10.84 [v11: any] : (apply(v3, v5, v6) = v10 & apply(v1, v5, v6) = v11 & % 35.79/10.84 member(v6, v0) = v9 & member(v5, v0) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | % 35.79/10.84 (( ~ (v11 = 0) | ~ (v7 = 0) | v10 = 0) & ( ~ (v10 = 0) | (v11 = 0 & % 35.79/10.84 v7 = 0)))))) & ! [v5: $i] : ! [v6: $i] : ! [v7: any] : ( ~ % 35.79/10.84 (apply(v1, v5, v6) = v7) | ~ $i(v6) | ~ $i(v5) | ? [v8: any] : ? [v9: % 35.79/10.84 any] : ? [v10: any] : ? [v11: any] : (apply(v3, v5, v6) = v10 & % 35.79/10.84 apply(v2, v5, v6) = v11 & member(v6, v0) = v9 & member(v5, v0) = v8 & ( % 35.79/10.84 ~ (v9 = 0) | ~ (v8 = 0) | (( ~ (v11 = 0) | ~ (v7 = 0) | v10 = 0) & ( % 35.79/10.84 ~ (v10 = 0) | (v11 = 0 & v7 = 0))))))) % 35.79/10.84 % 35.79/10.84 (function-axioms) % 35.79/10.85 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 % 35.79/10.85 | ~ (equivalence_class(v4, v3, v2) = v1) | ~ (equivalence_class(v4, v3, % 35.79/10.85 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 35.79/10.85 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = % 35.79/10.85 v1) | ~ (apply(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 35.79/10.85 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 35.79/10.85 (pre_order(v3, v2) = v1) | ~ (pre_order(v3, v2) = v0)) & ! [v0: % 35.79/10.85 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 35.79/10.85 : (v1 = v0 | ~ (equivalence(v3, v2) = v1) | ~ (equivalence(v3, v2) = v0)) & % 35.79/10.85 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 35.79/10.85 $i] : (v1 = v0 | ~ (partition(v3, v2) = v1) | ~ (partition(v3, v2) = v0)) % 35.79/10.85 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 35.79/10.85 [v3: $i] : (v1 = v0 | ~ (disjoint(v3, v2) = v1) | ~ (disjoint(v3, v2) = v0)) % 35.79/10.85 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 35.79/10.85 (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0: % 35.79/10.85 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 35.79/10.85 (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0: $i] : ! % 35.79/10.85 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ % 35.79/10.86 (union(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 35.79/10.86 $i] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = % 35.79/10.86 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 35.79/10.86 $i] : ! [v3: $i] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ % 35.79/10.86 (equal_set(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 35.79/10.86 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subset(v3, % 35.79/10.86 v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 35.79/10.86 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 35.79/10.86 (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0: $i] : ! [v1: % 35.79/10.86 $i] : ! [v2: $i] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = % 35.79/10.86 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sum(v2) = % 35.79/10.86 v1) | ~ (sum(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 35.79/10.86 v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0: $i] : ! % 35.79/10.86 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ % 35.79/10.86 (power_set(v2) = v0)) % 35.79/10.86 % 35.79/10.86 Further assumptions not needed in the proof: % 35.79/10.86 -------------------------------------------- % 35.79/10.86 difference, disjoint, empty_set, equal_set, equivalence_class, intersection, % 35.79/10.86 partition, power_set, pre_order, product, singleton, subset, sum, union, % 35.79/10.86 unordered_pair % 35.79/10.86 % 35.79/10.87 Those formulas are unsatisfiable: % 35.79/10.87 --------------------------------- % 35.79/10.87 % 35.79/10.87 Begin of proof % 35.79/10.87 | % 35.79/10.87 | ALPHA: (equivalence) implies: % 35.79/10.87 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (equivalence(v1, v0) = 0) % 35.79/10.87 | | ~ (member(v2, v0) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 35.79/10.87 | apply(v1, v2, v2) = 0) % 35.79/10.87 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 35.79/10.87 | (equivalence(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? % 35.79/10.87 | [v4: $i] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ? [v8: int] : % 35.79/10.87 | ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12: $i] : ? % 35.79/10.87 | [v13: $i] : ? [v14: int] : ? [v15: int] : ? [v16: int] : ? [v17: % 35.79/10.87 | int] : ? [v18: $i] : ? [v19: int] : ? [v20: int] : ($i(v18) & % 35.79/10.87 | $i(v13) & $i(v12) & $i(v5) & $i(v4) & $i(v3) & ((v19 = 0 & ~ (v20 % 35.79/10.87 | = 0) & apply(v1, v18, v18) = v20 & member(v18, v0) = 0) | % 35.79/10.87 | (v16 = 0 & v15 = 0 & v14 = 0 & ~ (v17 = 0) & apply(v1, v13, v12) % 35.79/10.87 | = v17 & apply(v1, v12, v13) = 0 & member(v13, v0) = 0 & % 35.79/10.87 | member(v12, v0) = 0) | (v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0 & v6 % 35.79/10.87 | = 0 & ~ (v11 = 0) & apply(v1, v4, v5) = 0 & apply(v1, v3, v5) % 35.79/10.87 | = v11 & apply(v1, v3, v4) = 0 & member(v5, v0) = 0 & member(v4, % 35.79/10.87 | v0) = 0 & member(v3, v0) = 0)))) % 35.79/10.88 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 35.79/10.88 | (equivalence(v1, v0) = 0) | ~ (apply(v1, v2, v3) = 0) | ~ $i(v3) | % 35.79/10.88 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? % 35.79/10.88 | [v6: any] : (apply(v1, v3, v2) = v6 & member(v3, v0) = v5 & % 35.79/10.88 | member(v2, v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | v6 = 0))) % 35.79/10.88 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 35.79/10.89 | ~ (equivalence(v1, v0) = 0) | ~ (member(v4, v0) = 0) | ~ % 35.79/10.89 | (member(v3, v0) = 0) | ~ (member(v2, v0) = 0) | ~ $i(v4) | ~ % 35.79/10.89 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: % 35.79/10.89 | any] : ? [v7: any] : (apply(v1, v3, v4) = v6 & apply(v1, v2, v4) = % 35.79/10.89 | v7 & apply(v1, v2, v3) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = % 35.79/10.89 | 0))) % 35.79/10.89 | % 35.79/10.89 | ALPHA: (function-axioms) implies: % 35.79/10.89 | (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 35.79/10.89 | ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) % 35.79/10.89 | = v0)) % 35.79/10.89 | (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 35.79/10.89 | ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ % 35.79/10.89 | (apply(v4, v3, v2) = v0)) % 35.79/10.89 | % 35.79/10.89 | DELTA: instantiating (thIII09) with fresh symbols all_20_0, all_20_1, % 35.79/10.89 | all_20_2, all_20_3, all_20_4 gives: % 35.79/10.90 | (7) ~ (all_20_0 = 0) & equivalence(all_20_1, all_20_4) = all_20_0 & % 35.79/10.90 | equivalence(all_20_2, all_20_4) = 0 & equivalence(all_20_3, all_20_4) = % 35.79/10.90 | 0 & $i(all_20_1) & $i(all_20_2) & $i(all_20_3) & $i(all_20_4) & ! [v0: % 35.79/10.90 | $i] : ! [v1: $i] : ! [v2: any] : ( ~ (apply(all_20_1, v0, v1) = v2) % 35.79/10.90 | | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] % 35.79/10.90 | : ? [v6: any] : (apply(all_20_2, v0, v1) = v6 & apply(all_20_3, v0, % 35.79/10.90 | v1) = v5 & member(v1, all_20_4) = v4 & member(v0, all_20_4) = v3 % 35.79/10.90 | & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v6 = 0) | ~ (v5 = 0) | v2 = % 35.79/10.90 | 0) & ( ~ (v2 = 0) | (v6 = 0 & v5 = 0)))))) & ! [v0: $i] : ! % 35.79/10.90 | [v1: $i] : ! [v2: any] : ( ~ (apply(all_20_2, v0, v1) = v2) | ~ % 35.79/10.90 | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? % 35.79/10.90 | [v6: any] : (apply(all_20_1, v0, v1) = v5 & apply(all_20_3, v0, v1) = % 35.79/10.90 | v6 & member(v1, all_20_4) = v4 & member(v0, all_20_4) = v3 & ( ~ % 35.79/10.90 | (v4 = 0) | ~ (v3 = 0) | (( ~ (v6 = 0) | ~ (v2 = 0) | v5 = 0) & % 35.79/10.90 | ( ~ (v5 = 0) | (v6 = 0 & v2 = 0)))))) & ! [v0: $i] : ! [v1: % 35.79/10.90 | $i] : ! [v2: any] : ( ~ (apply(all_20_3, v0, v1) = v2) | ~ $i(v1) | % 35.79/10.90 | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] % 35.79/10.90 | : (apply(all_20_1, v0, v1) = v5 & apply(all_20_2, v0, v1) = v6 & % 35.79/10.90 | member(v1, all_20_4) = v4 & member(v0, all_20_4) = v3 & ( ~ (v4 = % 35.79/10.90 | 0) | ~ (v3 = 0) | (( ~ (v6 = 0) | ~ (v2 = 0) | v5 = 0) & ( ~ % 35.79/10.90 | (v5 = 0) | (v6 = 0 & v2 = 0)))))) % 35.79/10.90 | % 35.79/10.90 | ALPHA: (7) implies: % 35.79/10.90 | (8) ~ (all_20_0 = 0) % 35.79/10.90 | (9) $i(all_20_4) % 35.79/10.90 | (10) $i(all_20_3) % 35.79/10.90 | (11) $i(all_20_2) % 35.79/10.90 | (12) $i(all_20_1) % 35.79/10.90 | (13) equivalence(all_20_3, all_20_4) = 0 % 35.79/10.90 | (14) equivalence(all_20_2, all_20_4) = 0 % 35.79/10.90 | (15) equivalence(all_20_1, all_20_4) = all_20_0 % 35.79/10.90 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (apply(all_20_3, v0, % 35.79/10.92 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] % 35.79/10.92 | : ? [v5: any] : ? [v6: any] : (apply(all_20_1, v0, v1) = v5 & % 35.79/10.92 | apply(all_20_2, v0, v1) = v6 & member(v1, all_20_4) = v4 & % 35.79/10.92 | member(v0, all_20_4) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v6 % 35.79/10.92 | = 0) | ~ (v2 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v6 = 0 & v2 % 35.79/10.92 | = 0)))))) % 35.79/10.92 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (apply(all_20_2, v0, % 36.05/10.92 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] % 36.05/10.92 | : ? [v5: any] : ? [v6: any] : (apply(all_20_1, v0, v1) = v5 & % 36.05/10.92 | apply(all_20_3, v0, v1) = v6 & member(v1, all_20_4) = v4 & % 36.05/10.92 | member(v0, all_20_4) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v6 % 36.05/10.92 | = 0) | ~ (v2 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v6 = 0 & v2 % 36.05/10.92 | = 0)))))) % 36.05/10.92 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (apply(all_20_1, v0, % 36.05/10.92 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] % 36.05/10.92 | : ? [v5: any] : ? [v6: any] : (apply(all_20_2, v0, v1) = v6 & % 36.05/10.92 | apply(all_20_3, v0, v1) = v5 & member(v1, all_20_4) = v4 & % 36.05/10.92 | member(v0, all_20_4) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v6 % 36.05/10.92 | = 0) | ~ (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | (v6 = 0 & v5 % 36.05/10.92 | = 0)))))) % 36.05/10.92 | % 36.05/10.92 | GROUND_INST: instantiating (2) with all_20_4, all_20_1, all_20_0, simplifying % 36.05/10.92 | with (9), (12), (15) gives: % 36.05/10.93 | (19) all_20_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] % 36.05/10.93 | : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: % 36.05/10.93 | int] : ? [v9: $i] : ? [v10: $i] : ? [v11: int] : ? [v12: int] : % 36.05/10.93 | ? [v13: int] : ? [v14: int] : ? [v15: $i] : ? [v16: int] : ? [v17: % 36.05/10.93 | int] : ($i(v15) & $i(v10) & $i(v9) & $i(v2) & $i(v1) & $i(v0) & % 36.05/10.93 | ((v16 = 0 & ~ (v17 = 0) & apply(all_20_1, v15, v15) = v17 & % 36.05/10.93 | member(v15, all_20_4) = 0) | (v13 = 0 & v12 = 0 & v11 = 0 & ~ % 36.05/10.93 | (v14 = 0) & apply(all_20_1, v10, v9) = v14 & apply(all_20_1, v9, % 36.05/10.93 | v10) = 0 & member(v10, all_20_4) = 0 & member(v9, all_20_4) = % 36.05/10.93 | 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0 & ~ (v8 = 0) & % 36.05/10.93 | apply(all_20_1, v1, v2) = 0 & apply(all_20_1, v0, v2) = v8 & % 36.05/10.93 | apply(all_20_1, v0, v1) = 0 & member(v2, all_20_4) = 0 & % 36.05/10.93 | member(v1, all_20_4) = 0 & member(v0, all_20_4) = 0))) % 36.05/10.93 | % 36.05/10.93 | BETA: splitting (19) gives: % 36.05/10.93 | % 36.05/10.93 | Case 1: % 36.05/10.93 | | % 36.05/10.93 | | (20) all_20_0 = 0 % 36.05/10.93 | | % 36.05/10.93 | | REDUCE: (8), (20) imply: % 36.05/10.94 | | (21) $false % 36.05/10.94 | | % 36.05/10.94 | | CLOSE: (21) is inconsistent. % 36.05/10.94 | | % 36.05/10.94 | Case 2: % 36.05/10.94 | | % 36.05/10.95 | | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: % 36.05/10.95 | | int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int] : % 36.05/10.95 | | ? [v9: $i] : ? [v10: $i] : ? [v11: int] : ? [v12: int] : ? % 36.05/10.95 | | [v13: int] : ? [v14: int] : ? [v15: $i] : ? [v16: int] : ? [v17: % 36.05/10.95 | | int] : ($i(v15) & $i(v10) & $i(v9) & $i(v2) & $i(v1) & $i(v0) & % 36.05/10.95 | | ((v16 = 0 & ~ (v17 = 0) & apply(all_20_1, v15, v15) = v17 & % 36.05/10.95 | | member(v15, all_20_4) = 0) | (v13 = 0 & v12 = 0 & v11 = 0 & ~ % 36.05/10.95 | | (v14 = 0) & apply(all_20_1, v10, v9) = v14 & apply(all_20_1, % 36.05/10.95 | | v9, v10) = 0 & member(v10, all_20_4) = 0 & member(v9, % 36.05/10.95 | | all_20_4) = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0 % 36.05/10.95 | | & ~ (v8 = 0) & apply(all_20_1, v1, v2) = 0 & apply(all_20_1, % 36.05/10.95 | | v0, v2) = v8 & apply(all_20_1, v0, v1) = 0 & member(v2, % 36.05/10.95 | | all_20_4) = 0 & member(v1, all_20_4) = 0 & member(v0, % 36.05/10.95 | | all_20_4) = 0))) % 36.05/10.95 | | % 36.05/10.95 | | DELTA: instantiating (22) with fresh symbols all_30_0, all_30_1, all_30_2, % 36.05/10.95 | | all_30_3, all_30_4, all_30_5, all_30_6, all_30_7, all_30_8, all_30_9, % 36.05/10.95 | | all_30_10, all_30_11, all_30_12, all_30_13, all_30_14, all_30_15, % 36.05/10.95 | | all_30_16, all_30_17 gives: % 36.05/10.95 | | (23) $i(all_30_2) & $i(all_30_7) & $i(all_30_8) & $i(all_30_15) & % 36.05/10.95 | | $i(all_30_16) & $i(all_30_17) & ((all_30_1 = 0 & ~ (all_30_0 = 0) & % 36.05/10.95 | | apply(all_20_1, all_30_2, all_30_2) = all_30_0 & % 36.05/10.95 | | member(all_30_2, all_20_4) = 0) | (all_30_4 = 0 & all_30_5 = 0 & % 36.05/10.95 | | all_30_6 = 0 & ~ (all_30_3 = 0) & apply(all_20_1, all_30_7, % 36.05/10.95 | | all_30_8) = all_30_3 & apply(all_20_1, all_30_8, all_30_7) = 0 % 36.05/10.95 | | & member(all_30_7, all_20_4) = 0 & member(all_30_8, all_20_4) = % 36.05/10.95 | | 0) | (all_30_10 = 0 & all_30_11 = 0 & all_30_12 = 0 & all_30_13 % 36.05/10.95 | | = 0 & all_30_14 = 0 & ~ (all_30_9 = 0) & apply(all_20_1, % 36.05/10.95 | | all_30_16, all_30_15) = 0 & apply(all_20_1, all_30_17, % 36.05/10.95 | | all_30_15) = all_30_9 & apply(all_20_1, all_30_17, all_30_16) % 36.05/10.95 | | = 0 & member(all_30_15, all_20_4) = 0 & member(all_30_16, % 36.05/10.95 | | all_20_4) = 0 & member(all_30_17, all_20_4) = 0)) % 36.05/10.95 | | % 36.05/10.95 | | ALPHA: (23) implies: % 36.05/10.95 | | (24) $i(all_30_17) % 36.05/10.95 | | (25) $i(all_30_16) % 36.05/10.95 | | (26) $i(all_30_15) % 36.05/10.95 | | (27) $i(all_30_8) % 36.05/10.95 | | (28) $i(all_30_7) % 36.05/10.95 | | (29) $i(all_30_2) % 36.05/10.96 | | (30) (all_30_1 = 0 & ~ (all_30_0 = 0) & apply(all_20_1, all_30_2, % 36.05/10.97 | | all_30_2) = all_30_0 & member(all_30_2, all_20_4) = 0) | % 36.05/10.97 | | (all_30_4 = 0 & all_30_5 = 0 & all_30_6 = 0 & ~ (all_30_3 = 0) & % 36.05/10.97 | | apply(all_20_1, all_30_7, all_30_8) = all_30_3 & apply(all_20_1, % 36.05/10.97 | | all_30_8, all_30_7) = 0 & member(all_30_7, all_20_4) = 0 & % 36.05/10.97 | | member(all_30_8, all_20_4) = 0) | (all_30_10 = 0 & all_30_11 = 0 & % 36.05/10.97 | | all_30_12 = 0 & all_30_13 = 0 & all_30_14 = 0 & ~ (all_30_9 = 0) % 36.05/10.97 | | & apply(all_20_1, all_30_16, all_30_15) = 0 & apply(all_20_1, % 36.05/10.97 | | all_30_17, all_30_15) = all_30_9 & apply(all_20_1, all_30_17, % 36.05/10.97 | | all_30_16) = 0 & member(all_30_15, all_20_4) = 0 & % 36.05/10.97 | | member(all_30_16, all_20_4) = 0 & member(all_30_17, all_20_4) = 0) % 36.05/10.97 | | % 36.05/10.97 | | BETA: splitting (30) gives: % 36.05/10.97 | | % 36.05/10.97 | | Case 1: % 36.05/10.97 | | | % 36.05/10.97 | | | (31) all_30_1 = 0 & ~ (all_30_0 = 0) & apply(all_20_1, all_30_2, % 36.05/10.97 | | | all_30_2) = all_30_0 & member(all_30_2, all_20_4) = 0 % 36.05/10.97 | | | % 36.05/10.97 | | | ALPHA: (31) implies: % 36.05/10.98 | | | (32) ~ (all_30_0 = 0) % 36.05/10.98 | | | (33) member(all_30_2, all_20_4) = 0 % 36.05/10.98 | | | (34) apply(all_20_1, all_30_2, all_30_2) = all_30_0 % 36.05/10.98 | | | % 36.05/10.98 | | | GROUND_INST: instantiating (1) with all_20_4, all_20_2, all_30_2, % 36.05/10.98 | | | simplifying with (9), (11), (14), (29), (33) gives: % 36.05/10.98 | | | (35) apply(all_20_2, all_30_2, all_30_2) = 0 % 36.05/10.98 | | | % 36.05/10.98 | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_2, % 36.05/10.98 | | | all_30_2, all_30_2, simplifying with (9), (10), (13), (29), % 36.05/10.98 | | | (33) gives: % 36.05/10.98 | | | (36) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 36.05/10.98 | | | all_30_2, all_30_2) = v2 & apply(all_20_3, all_30_2, all_30_2) % 36.05/10.98 | | | = v1 & apply(all_20_3, all_30_2, all_30_2) = v0 & ( ~ (v1 = 0) | % 36.05/10.98 | | | ~ (v0 = 0) | v2 = 0)) % 36.05/10.98 | | | % 36.05/10.98 | | | GROUND_INST: instantiating (1) with all_20_4, all_20_3, all_30_2, % 36.05/10.98 | | | simplifying with (9), (10), (13), (29), (33) gives: % 36.05/10.98 | | | (37) apply(all_20_3, all_30_2, all_30_2) = 0 % 36.05/10.98 | | | % 36.05/10.98 | | | GROUND_INST: instantiating (18) with all_30_2, all_30_2, all_30_0, % 36.05/10.98 | | | simplifying with (29), (34) gives: % 36.05/10.98 | | | (38) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 36.05/10.98 | | | (apply(all_20_2, all_30_2, all_30_2) = v3 & apply(all_20_3, % 36.05/10.98 | | | all_30_2, all_30_2) = v2 & member(all_30_2, all_20_4) = v1 & % 36.05/10.98 | | | member(all_30_2, all_20_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | % 36.05/10.98 | | | (( ~ (v3 = 0) | ~ (v2 = 0) | all_30_0 = 0) & ( ~ (all_30_0 = % 36.05/10.98 | | | 0) | (v3 = 0 & v2 = 0))))) % 36.05/10.98 | | | % 36.05/10.98 | | | DELTA: instantiating (36) with fresh symbols all_45_0, all_45_1, all_45_2 % 36.05/10.98 | | | gives: % 36.05/10.98 | | | (39) apply(all_20_3, all_30_2, all_30_2) = all_45_0 & apply(all_20_3, % 36.05/10.98 | | | all_30_2, all_30_2) = all_45_1 & apply(all_20_3, all_30_2, % 36.05/10.98 | | | all_30_2) = all_45_2 & ( ~ (all_45_1 = 0) | ~ (all_45_2 = 0) | % 36.05/10.98 | | | all_45_0 = 0) % 36.05/10.98 | | | % 36.05/10.98 | | | ALPHA: (39) implies: % 36.05/10.98 | | | (40) apply(all_20_3, all_30_2, all_30_2) = all_45_1 % 36.05/10.98 | | | (41) apply(all_20_3, all_30_2, all_30_2) = all_45_0 % 36.05/10.98 | | | % 36.05/10.98 | | | DELTA: instantiating (38) with fresh symbols all_49_0, all_49_1, all_49_2, % 36.05/10.98 | | | all_49_3 gives: % 36.05/10.98 | | | (42) apply(all_20_2, all_30_2, all_30_2) = all_49_0 & apply(all_20_3, % 36.25/10.99 | | | all_30_2, all_30_2) = all_49_1 & member(all_30_2, all_20_4) = % 36.25/10.99 | | | all_49_2 & member(all_30_2, all_20_4) = all_49_3 & ( ~ (all_49_2 = % 36.25/10.99 | | | 0) | ~ (all_49_3 = 0) | (( ~ (all_49_0 = 0) | ~ (all_49_1 = % 36.25/10.99 | | | 0) | all_30_0 = 0) & ( ~ (all_30_0 = 0) | (all_49_0 = 0 & % 36.25/10.99 | | | all_49_1 = 0)))) % 36.25/10.99 | | | % 36.25/10.99 | | | ALPHA: (42) implies: % 36.25/10.99 | | | (43) member(all_30_2, all_20_4) = all_49_3 % 36.25/10.99 | | | (44) member(all_30_2, all_20_4) = all_49_2 % 36.25/10.99 | | | (45) apply(all_20_3, all_30_2, all_30_2) = all_49_1 % 36.25/10.99 | | | (46) apply(all_20_2, all_30_2, all_30_2) = all_49_0 % 36.25/10.99 | | | (47) ~ (all_49_2 = 0) | ~ (all_49_3 = 0) | (( ~ (all_49_0 = 0) | ~ % 36.25/10.99 | | | (all_49_1 = 0) | all_30_0 = 0) & ( ~ (all_30_0 = 0) | % 36.25/10.99 | | | (all_49_0 = 0 & all_49_1 = 0))) % 36.25/10.99 | | | % 36.25/10.99 | | | GROUND_INST: instantiating (5) with 0, all_49_2, all_20_4, all_30_2, % 36.25/10.99 | | | simplifying with (33), (44) gives: % 36.25/10.99 | | | (48) all_49_2 = 0 % 36.25/10.99 | | | % 36.25/10.99 | | | GROUND_INST: instantiating (5) with all_49_3, all_49_2, all_20_4, % 36.25/11.00 | | | all_30_2, simplifying with (43), (44) gives: % 36.25/11.00 | | | (49) all_49_2 = all_49_3 % 36.25/11.00 | | | % 36.25/11.00 | | | GROUND_INST: instantiating (6) with 0, all_45_0, all_30_2, all_30_2, % 36.25/11.00 | | | all_20_3, simplifying with (37), (41) gives: % 36.25/11.00 | | | (50) all_45_0 = 0 % 36.25/11.00 | | | % 36.25/11.00 | | | GROUND_INST: instantiating (6) with all_45_0, all_49_1, all_30_2, % 36.25/11.00 | | | all_30_2, all_20_3, simplifying with (41), (45) gives: % 36.25/11.00 | | | (51) all_49_1 = all_45_0 % 36.25/11.00 | | | % 36.25/11.00 | | | GROUND_INST: instantiating (6) with all_45_1, all_49_1, all_30_2, % 36.25/11.00 | | | all_30_2, all_20_3, simplifying with (40), (45) gives: % 36.25/11.00 | | | (52) all_49_1 = all_45_1 % 36.25/11.00 | | | % 36.25/11.00 | | | GROUND_INST: instantiating (6) with 0, all_49_0, all_30_2, all_30_2, % 36.25/11.00 | | | all_20_2, simplifying with (35), (46) gives: % 36.25/11.00 | | | (53) all_49_0 = 0 % 36.25/11.00 | | | % 36.25/11.00 | | | COMBINE_EQS: (51), (52) imply: % 36.25/11.00 | | | (54) all_45_0 = all_45_1 % 36.25/11.00 | | | % 36.25/11.00 | | | SIMP: (54) implies: % 36.25/11.00 | | | (55) all_45_0 = all_45_1 % 36.25/11.00 | | | % 36.25/11.00 | | | COMBINE_EQS: (48), (49) imply: % 36.25/11.00 | | | (56) all_49_3 = 0 % 36.25/11.00 | | | % 36.25/11.00 | | | SIMP: (56) implies: % 36.25/11.00 | | | (57) all_49_3 = 0 % 36.25/11.00 | | | % 36.25/11.00 | | | COMBINE_EQS: (50), (55) imply: % 36.25/11.00 | | | (58) all_45_1 = 0 % 36.25/11.00 | | | % 36.25/11.00 | | | COMBINE_EQS: (52), (58) imply: % 36.25/11.00 | | | (59) all_49_1 = 0 % 36.25/11.00 | | | % 36.25/11.00 | | | BETA: splitting (47) gives: % 36.25/11.00 | | | % 36.25/11.00 | | | Case 1: % 36.25/11.00 | | | | % 36.25/11.00 | | | | (60) ~ (all_49_2 = 0) % 36.25/11.00 | | | | % 36.25/11.00 | | | | REDUCE: (48), (60) imply: % 36.25/11.00 | | | | (61) $false % 36.25/11.00 | | | | % 36.25/11.00 | | | | CLOSE: (61) is inconsistent. % 36.25/11.00 | | | | % 36.25/11.00 | | | Case 2: % 36.25/11.00 | | | | % 36.25/11.00 | | | | (62) ~ (all_49_3 = 0) | (( ~ (all_49_0 = 0) | ~ (all_49_1 = 0) | % 36.25/11.00 | | | | all_30_0 = 0) & ( ~ (all_30_0 = 0) | (all_49_0 = 0 & % 36.25/11.00 | | | | all_49_1 = 0))) % 36.25/11.02 | | | | % 36.25/11.02 | | | | BETA: splitting (62) gives: % 36.25/11.02 | | | | % 36.25/11.02 | | | | Case 1: % 36.25/11.02 | | | | | % 36.25/11.02 | | | | | (63) ~ (all_49_3 = 0) % 36.25/11.02 | | | | | % 36.25/11.02 | | | | | REDUCE: (57), (63) imply: % 36.25/11.02 | | | | | (64) $false % 36.25/11.02 | | | | | % 36.25/11.02 | | | | | CLOSE: (64) is inconsistent. % 36.25/11.02 | | | | | % 36.25/11.02 | | | | Case 2: % 36.25/11.02 | | | | | % 36.25/11.02 | | | | | (65) ( ~ (all_49_0 = 0) | ~ (all_49_1 = 0) | all_30_0 = 0) & ( ~ % 36.25/11.02 | | | | | (all_30_0 = 0) | (all_49_0 = 0 & all_49_1 = 0)) % 36.25/11.02 | | | | | % 36.25/11.02 | | | | | ALPHA: (65) implies: % 36.25/11.02 | | | | | (66) ~ (all_49_0 = 0) | ~ (all_49_1 = 0) | all_30_0 = 0 % 36.25/11.02 | | | | | % 36.25/11.02 | | | | | BETA: splitting (66) gives: % 36.25/11.02 | | | | | % 36.25/11.02 | | | | | Case 1: % 36.25/11.02 | | | | | | % 36.25/11.02 | | | | | | (67) ~ (all_49_0 = 0) % 36.25/11.02 | | | | | | % 36.25/11.02 | | | | | | REDUCE: (53), (67) imply: % 36.25/11.02 | | | | | | (68) $false % 36.25/11.02 | | | | | | % 36.25/11.02 | | | | | | CLOSE: (68) is inconsistent. % 36.25/11.02 | | | | | | % 36.25/11.02 | | | | | Case 2: % 36.25/11.02 | | | | | | % 36.25/11.02 | | | | | | (69) ~ (all_49_1 = 0) | all_30_0 = 0 % 36.25/11.02 | | | | | | % 36.25/11.02 | | | | | | BETA: splitting (69) gives: % 36.25/11.02 | | | | | | % 36.25/11.02 | | | | | | Case 1: % 36.25/11.02 | | | | | | | % 36.25/11.02 | | | | | | | (70) ~ (all_49_1 = 0) % 36.25/11.02 | | | | | | | % 36.25/11.02 | | | | | | | REDUCE: (59), (70) imply: % 36.25/11.02 | | | | | | | (71) $false % 36.25/11.02 | | | | | | | % 36.25/11.02 | | | | | | | CLOSE: (71) is inconsistent. % 36.25/11.02 | | | | | | | % 36.25/11.02 | | | | | | Case 2: % 36.25/11.02 | | | | | | | % 36.25/11.02 | | | | | | | (72) all_30_0 = 0 % 36.25/11.02 | | | | | | | % 36.25/11.02 | | | | | | | REDUCE: (32), (72) imply: % 36.25/11.02 | | | | | | | (73) $false % 36.25/11.02 | | | | | | | % 36.25/11.02 | | | | | | | CLOSE: (73) is inconsistent. % 36.25/11.02 | | | | | | | % 36.25/11.02 | | | | | | End of split % 36.25/11.02 | | | | | | % 36.25/11.02 | | | | | End of split % 36.25/11.02 | | | | | % 36.25/11.02 | | | | End of split % 36.25/11.02 | | | | % 36.25/11.02 | | | End of split % 36.25/11.02 | | | % 36.25/11.03 | | Case 2: % 36.25/11.03 | | | % 36.25/11.03 | | | (74) (all_30_4 = 0 & all_30_5 = 0 & all_30_6 = 0 & ~ (all_30_3 = 0) & % 36.25/11.03 | | | apply(all_20_1, all_30_7, all_30_8) = all_30_3 & apply(all_20_1, % 36.25/11.03 | | | all_30_8, all_30_7) = 0 & member(all_30_7, all_20_4) = 0 & % 36.25/11.03 | | | member(all_30_8, all_20_4) = 0) | (all_30_10 = 0 & all_30_11 = 0 % 36.25/11.03 | | | & all_30_12 = 0 & all_30_13 = 0 & all_30_14 = 0 & ~ (all_30_9 = % 36.25/11.03 | | | 0) & apply(all_20_1, all_30_16, all_30_15) = 0 & % 36.25/11.03 | | | apply(all_20_1, all_30_17, all_30_15) = all_30_9 & % 36.25/11.03 | | | apply(all_20_1, all_30_17, all_30_16) = 0 & member(all_30_15, % 36.25/11.03 | | | all_20_4) = 0 & member(all_30_16, all_20_4) = 0 & % 36.25/11.03 | | | member(all_30_17, all_20_4) = 0) % 36.25/11.03 | | | % 36.25/11.03 | | | BETA: splitting (74) gives: % 36.25/11.03 | | | % 36.25/11.03 | | | Case 1: % 36.25/11.03 | | | | % 36.25/11.03 | | | | (75) all_30_4 = 0 & all_30_5 = 0 & all_30_6 = 0 & ~ (all_30_3 = 0) & % 36.25/11.03 | | | | apply(all_20_1, all_30_7, all_30_8) = all_30_3 & apply(all_20_1, % 36.25/11.03 | | | | all_30_8, all_30_7) = 0 & member(all_30_7, all_20_4) = 0 & % 36.25/11.03 | | | | member(all_30_8, all_20_4) = 0 % 36.25/11.03 | | | | % 36.25/11.03 | | | | ALPHA: (75) implies: % 36.25/11.03 | | | | (76) ~ (all_30_3 = 0) % 36.25/11.03 | | | | (77) member(all_30_8, all_20_4) = 0 % 36.25/11.03 | | | | (78) member(all_30_7, all_20_4) = 0 % 36.25/11.03 | | | | (79) apply(all_20_1, all_30_8, all_30_7) = 0 % 36.25/11.03 | | | | (80) apply(all_20_1, all_30_7, all_30_8) = all_30_3 % 36.25/11.03 | | | | % 36.25/11.03 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_8, % 36.25/11.03 | | | | all_30_8, all_30_8, simplifying with (9), (11), (14), (27), % 36.25/11.03 | | | | (77) gives: % 36.25/11.03 | | | | (81) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 36.25/11.03 | | | | all_30_8, all_30_8) = v2 & apply(all_20_2, all_30_8, % 36.25/11.03 | | | | all_30_8) = v1 & apply(all_20_2, all_30_8, all_30_8) = v0 & % 36.25/11.03 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.03 | | | | % 36.25/11.04 | | | | GROUND_INST: instantiating (1) with all_20_4, all_20_2, all_30_8, % 36.25/11.04 | | | | simplifying with (9), (11), (14), (27), (77) gives: % 36.25/11.04 | | | | (82) apply(all_20_2, all_30_8, all_30_8) = 0 % 36.25/11.04 | | | | % 36.25/11.04 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_8, % 36.25/11.04 | | | | all_30_8, all_30_8, simplifying with (9), (10), (13), (27), % 36.25/11.04 | | | | (77) gives: % 36.25/11.04 | | | | (83) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 36.25/11.04 | | | | all_30_8, all_30_8) = v2 & apply(all_20_3, all_30_8, % 36.25/11.04 | | | | all_30_8) = v1 & apply(all_20_3, all_30_8, all_30_8) = v0 & % 36.25/11.04 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.04 | | | | % 36.25/11.04 | | | | GROUND_INST: instantiating (1) with all_20_4, all_20_3, all_30_8, % 36.25/11.04 | | | | simplifying with (9), (10), (13), (27), (77) gives: % 36.25/11.04 | | | | (84) apply(all_20_3, all_30_8, all_30_8) = 0 % 36.25/11.05 | | | | % 36.25/11.05 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_7, % 36.25/11.05 | | | | all_30_7, all_30_7, simplifying with (9), (11), (14), (28), % 36.25/11.05 | | | | (78) gives: % 36.25/11.05 | | | | (85) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 36.25/11.05 | | | | all_30_7, all_30_7) = v2 & apply(all_20_2, all_30_7, % 36.25/11.05 | | | | all_30_7) = v1 & apply(all_20_2, all_30_7, all_30_7) = v0 & % 36.25/11.05 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.05 | | | | % 36.25/11.05 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_8, % 36.25/11.05 | | | | all_30_7, all_30_7, simplifying with (9), (11), (14), (27), % 36.25/11.05 | | | | (28), (77), (78) gives: % 36.25/11.05 | | | | (86) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 36.25/11.05 | | | | all_30_7, all_30_7) = v1 & apply(all_20_2, all_30_8, % 36.25/11.05 | | | | all_30_7) = v2 & apply(all_20_2, all_30_8, all_30_7) = v0 & % 36.25/11.05 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.05 | | | | % 36.25/11.05 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_7, % 36.25/11.05 | | | | all_30_8, all_30_7, simplifying with (9), (11), (14), (27), % 36.25/11.05 | | | | (28), (77), (78) gives: % 36.25/11.06 | | | | (87) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 36.25/11.06 | | | | all_30_7, all_30_7) = v2 & apply(all_20_2, all_30_7, % 36.25/11.06 | | | | all_30_8) = v0 & apply(all_20_2, all_30_8, all_30_7) = v1 & % 36.25/11.06 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.07 | | | | % 36.25/11.07 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_7, % 36.25/11.09 | | | | all_30_7, all_30_8, simplifying with (9), (11), (14), (27), % 36.25/11.09 | | | | (28), (77), (78) gives: % 36.25/11.09 | | | | (88) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 36.25/11.09 | | | | all_30_7, all_30_7) = v0 & apply(all_20_2, all_30_7, % 36.25/11.09 | | | | all_30_8) = v2 & apply(all_20_2, all_30_7, all_30_8) = v1 & % 36.25/11.09 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.09 | | | | % 36.25/11.09 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_8, % 36.25/11.09 | | | | all_30_8, all_30_7, simplifying with (9), (11), (14), (27), % 36.25/11.09 | | | | (28), (77), (78) gives: % 36.25/11.09 | | | | (89) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 36.25/11.09 | | | | all_30_8, all_30_7) = v2 & apply(all_20_2, all_30_8, % 36.25/11.09 | | | | all_30_7) = v1 & apply(all_20_2, all_30_8, all_30_8) = v0 & % 36.25/11.09 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.09 | | | | % 36.25/11.09 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_8, % 36.25/11.09 | | | | all_30_7, all_30_8, simplifying with (9), (11), (14), (27), % 36.25/11.09 | | | | (28), (77), (78) gives: % 36.25/11.09 | | | | (90) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 36.25/11.09 | | | | all_30_7, all_30_8) = v1 & apply(all_20_2, all_30_8, % 36.25/11.09 | | | | all_30_7) = v0 & apply(all_20_2, all_30_8, all_30_8) = v2 & % 36.25/11.09 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.09 | | | | % 36.25/11.09 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_7, % 36.25/11.09 | | | | all_30_8, all_30_8, simplifying with (9), (11), (14), (27), % 36.25/11.09 | | | | (28), (77), (78) gives: % 36.25/11.09 | | | | (91) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 36.25/11.09 | | | | all_30_7, all_30_8) = v2 & apply(all_20_2, all_30_7, % 36.25/11.09 | | | | all_30_8) = v0 & apply(all_20_2, all_30_8, all_30_8) = v1 & % 36.25/11.10 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.10 | | | | % 36.25/11.10 | | | | GROUND_INST: instantiating (1) with all_20_4, all_20_2, all_30_7, % 36.25/11.10 | | | | simplifying with (9), (11), (14), (28), (78) gives: % 36.25/11.10 | | | | (92) apply(all_20_2, all_30_7, all_30_7) = 0 % 36.25/11.10 | | | | % 36.25/11.10 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_7, % 36.25/11.10 | | | | all_30_7, all_30_7, simplifying with (9), (10), (13), (28), % 36.25/11.10 | | | | (78) gives: % 36.25/11.10 | | | | (93) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 36.25/11.10 | | | | all_30_7, all_30_7) = v2 & apply(all_20_3, all_30_7, % 36.25/11.10 | | | | all_30_7) = v1 & apply(all_20_3, all_30_7, all_30_7) = v0 & % 36.25/11.10 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.10 | | | | % 36.25/11.10 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_8, % 36.25/11.10 | | | | all_30_7, all_30_7, simplifying with (9), (10), (13), (27), % 36.25/11.10 | | | | (28), (77), (78) gives: % 36.25/11.10 | | | | (94) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 36.25/11.10 | | | | all_30_7, all_30_7) = v1 & apply(all_20_3, all_30_8, % 36.25/11.10 | | | | all_30_7) = v2 & apply(all_20_3, all_30_8, all_30_7) = v0 & % 36.25/11.10 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.10 | | | | % 36.25/11.10 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_7, % 36.25/11.12 | | | | all_30_8, all_30_7, simplifying with (9), (10), (13), (27), % 36.25/11.12 | | | | (28), (77), (78) gives: % 36.25/11.12 | | | | (95) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 36.25/11.12 | | | | all_30_7, all_30_7) = v2 & apply(all_20_3, all_30_7, % 36.25/11.12 | | | | all_30_8) = v0 & apply(all_20_3, all_30_8, all_30_7) = v1 & % 36.25/11.12 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.12 | | | | % 36.25/11.13 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_7, % 36.25/11.13 | | | | all_30_7, all_30_8, simplifying with (9), (10), (13), (27), % 36.25/11.13 | | | | (28), (77), (78) gives: % 36.25/11.13 | | | | (96) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 36.25/11.13 | | | | all_30_7, all_30_7) = v0 & apply(all_20_3, all_30_7, % 36.25/11.13 | | | | all_30_8) = v2 & apply(all_20_3, all_30_7, all_30_8) = v1 & % 36.25/11.13 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.13 | | | | % 36.25/11.13 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_8, % 36.25/11.13 | | | | all_30_8, all_30_7, simplifying with (9), (10), (13), (27), % 36.25/11.13 | | | | (28), (77), (78) gives: % 36.25/11.13 | | | | (97) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 36.25/11.13 | | | | all_30_8, all_30_7) = v2 & apply(all_20_3, all_30_8, % 36.25/11.13 | | | | all_30_7) = v1 & apply(all_20_3, all_30_8, all_30_8) = v0 & % 36.25/11.13 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.13 | | | | % 36.25/11.13 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_8, % 36.25/11.13 | | | | all_30_7, all_30_8, simplifying with (9), (10), (13), (27), % 36.25/11.13 | | | | (28), (77), (78) gives: % 36.25/11.13 | | | | (98) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 36.25/11.13 | | | | all_30_7, all_30_8) = v1 & apply(all_20_3, all_30_8, % 36.25/11.13 | | | | all_30_7) = v0 & apply(all_20_3, all_30_8, all_30_8) = v2 & % 36.25/11.13 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.13 | | | | % 36.25/11.13 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_7, % 36.25/11.13 | | | | all_30_8, all_30_8, simplifying with (9), (10), (13), (27), % 36.25/11.13 | | | | (28), (77), (78) gives: % 36.25/11.13 | | | | (99) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 36.25/11.13 | | | | all_30_7, all_30_8) = v2 & apply(all_20_3, all_30_7, % 36.25/11.13 | | | | all_30_8) = v0 & apply(all_20_3, all_30_8, all_30_8) = v1 & % 36.25/11.13 | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.13 | | | | % 36.25/11.13 | | | | GROUND_INST: instantiating (1) with all_20_4, all_20_3, all_30_7, % 36.25/11.13 | | | | simplifying with (9), (10), (13), (28), (78) gives: % 36.25/11.13 | | | | (100) apply(all_20_3, all_30_7, all_30_7) = 0 % 36.25/11.13 | | | | % 36.25/11.13 | | | | GROUND_INST: instantiating (18) with all_30_8, all_30_7, 0, simplifying % 36.25/11.13 | | | | with (27), (28), (79) gives: % 36.25/11.13 | | | | (101) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 36.25/11.13 | | | | (apply(all_20_2, all_30_8, all_30_7) = v3 & apply(all_20_3, % 36.25/11.13 | | | | all_30_8, all_30_7) = v2 & member(all_30_7, all_20_4) = v1 % 36.25/11.13 | | | | & member(all_30_8, all_20_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 36.25/11.13 | | | | 0) | (v3 = 0 & v2 = 0))) % 36.25/11.13 | | | | % 36.25/11.13 | | | | GROUND_INST: instantiating (18) with all_30_7, all_30_8, all_30_3, % 36.25/11.13 | | | | simplifying with (27), (28), (80) gives: % 36.25/11.14 | | | | (102) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 36.25/11.15 | | | | (apply(all_20_2, all_30_7, all_30_8) = v3 & apply(all_20_3, % 36.25/11.15 | | | | all_30_7, all_30_8) = v2 & member(all_30_7, all_20_4) = v0 % 36.25/11.15 | | | | & member(all_30_8, all_20_4) = v1 & ( ~ (v1 = 0) | ~ (v0 = % 36.25/11.15 | | | | 0) | (( ~ (v3 = 0) | ~ (v2 = 0) | all_30_3 = 0) & ( ~ % 36.25/11.15 | | | | (all_30_3 = 0) | (v3 = 0 & v2 = 0))))) % 36.25/11.15 | | | | % 36.25/11.15 | | | | DELTA: instantiating (88) with fresh symbols all_45_0, all_45_1, % 36.25/11.15 | | | | all_45_2 gives: % 36.25/11.15 | | | | (103) apply(all_20_2, all_30_7, all_30_7) = all_45_2 & % 36.25/11.15 | | | | apply(all_20_2, all_30_7, all_30_8) = all_45_0 & % 36.25/11.15 | | | | apply(all_20_2, all_30_7, all_30_8) = all_45_1 & ( ~ (all_45_1 % 36.25/11.15 | | | | = 0) | ~ (all_45_2 = 0) | all_45_0 = 0) % 36.25/11.15 | | | | % 36.25/11.15 | | | | ALPHA: (103) implies: % 36.25/11.15 | | | | (104) apply(all_20_2, all_30_7, all_30_8) = all_45_1 % 36.25/11.15 | | | | (105) apply(all_20_2, all_30_7, all_30_8) = all_45_0 % 36.25/11.15 | | | | (106) apply(all_20_2, all_30_7, all_30_7) = all_45_2 % 36.25/11.15 | | | | % 36.25/11.15 | | | | DELTA: instantiating (87) with fresh symbols all_47_0, all_47_1, % 36.25/11.15 | | | | all_47_2 gives: % 36.25/11.15 | | | | (107) apply(all_20_2, all_30_7, all_30_7) = all_47_0 & % 36.25/11.15 | | | | apply(all_20_2, all_30_7, all_30_8) = all_47_2 & % 36.25/11.15 | | | | apply(all_20_2, all_30_8, all_30_7) = all_47_1 & ( ~ (all_47_1 % 36.25/11.15 | | | | = 0) | ~ (all_47_2 = 0) | all_47_0 = 0) % 36.25/11.15 | | | | % 36.25/11.16 | | | | ALPHA: (107) implies: % 36.25/11.16 | | | | (108) apply(all_20_2, all_30_8, all_30_7) = all_47_1 % 36.25/11.16 | | | | (109) apply(all_20_2, all_30_7, all_30_8) = all_47_2 % 36.25/11.16 | | | | (110) apply(all_20_2, all_30_7, all_30_7) = all_47_0 % 36.25/11.16 | | | | % 36.25/11.16 | | | | DELTA: instantiating (83) with fresh symbols all_49_0, all_49_1, % 36.25/11.16 | | | | all_49_2 gives: % 36.25/11.16 | | | | (111) apply(all_20_3, all_30_8, all_30_8) = all_49_0 & % 36.25/11.16 | | | | apply(all_20_3, all_30_8, all_30_8) = all_49_1 & % 36.25/11.16 | | | | apply(all_20_3, all_30_8, all_30_8) = all_49_2 & ( ~ (all_49_1 % 36.25/11.16 | | | | = 0) | ~ (all_49_2 = 0) | all_49_0 = 0) % 36.25/11.16 | | | | % 36.25/11.16 | | | | ALPHA: (111) implies: % 36.25/11.16 | | | | (112) apply(all_20_3, all_30_8, all_30_8) = all_49_2 % 36.25/11.16 | | | | (113) apply(all_20_3, all_30_8, all_30_8) = all_49_1 % 36.25/11.16 | | | | (114) apply(all_20_3, all_30_8, all_30_8) = all_49_0 % 36.25/11.16 | | | | % 36.25/11.16 | | | | DELTA: instantiating (81) with fresh symbols all_51_0, all_51_1, % 36.25/11.16 | | | | all_51_2 gives: % 36.25/11.16 | | | | (115) apply(all_20_2, all_30_8, all_30_8) = all_51_0 & % 36.25/11.16 | | | | apply(all_20_2, all_30_8, all_30_8) = all_51_1 & % 36.25/11.16 | | | | apply(all_20_2, all_30_8, all_30_8) = all_51_2 & ( ~ (all_51_1 % 36.25/11.16 | | | | = 0) | ~ (all_51_2 = 0) | all_51_0 = 0) % 36.25/11.16 | | | | % 36.25/11.16 | | | | ALPHA: (115) implies: % 36.25/11.16 | | | | (116) apply(all_20_2, all_30_8, all_30_8) = all_51_2 % 36.25/11.16 | | | | (117) apply(all_20_2, all_30_8, all_30_8) = all_51_1 % 36.25/11.16 | | | | (118) apply(all_20_2, all_30_8, all_30_8) = all_51_0 % 36.25/11.16 | | | | % 36.25/11.16 | | | | DELTA: instantiating (86) with fresh symbols all_53_0, all_53_1, % 36.25/11.16 | | | | all_53_2 gives: % 36.25/11.16 | | | | (119) apply(all_20_2, all_30_7, all_30_7) = all_53_1 & % 36.25/11.16 | | | | apply(all_20_2, all_30_8, all_30_7) = all_53_0 & % 36.25/11.16 | | | | apply(all_20_2, all_30_8, all_30_7) = all_53_2 & ( ~ (all_53_1 % 36.25/11.16 | | | | = 0) | ~ (all_53_2 = 0) | all_53_0 = 0) % 36.25/11.16 | | | | % 36.25/11.16 | | | | ALPHA: (119) implies: % 36.25/11.16 | | | | (120) apply(all_20_2, all_30_8, all_30_7) = all_53_2 % 36.25/11.16 | | | | (121) apply(all_20_2, all_30_8, all_30_7) = all_53_0 % 36.25/11.16 | | | | (122) apply(all_20_2, all_30_7, all_30_7) = all_53_1 % 36.25/11.16 | | | | % 36.25/11.16 | | | | DELTA: instantiating (98) with fresh symbols all_55_0, all_55_1, % 36.25/11.16 | | | | all_55_2 gives: % 36.25/11.16 | | | | (123) apply(all_20_3, all_30_7, all_30_8) = all_55_1 & % 36.25/11.16 | | | | apply(all_20_3, all_30_8, all_30_7) = all_55_2 & % 36.25/11.16 | | | | apply(all_20_3, all_30_8, all_30_8) = all_55_0 & ( ~ (all_55_1 % 36.25/11.16 | | | | = 0) | ~ (all_55_2 = 0) | all_55_0 = 0) % 36.25/11.16 | | | | % 36.25/11.16 | | | | ALPHA: (123) implies: % 36.25/11.16 | | | | (124) apply(all_20_3, all_30_8, all_30_8) = all_55_0 % 36.25/11.16 | | | | (125) apply(all_20_3, all_30_8, all_30_7) = all_55_2 % 36.25/11.16 | | | | (126) apply(all_20_3, all_30_7, all_30_8) = all_55_1 % 36.25/11.16 | | | | % 36.25/11.16 | | | | DELTA: instantiating (97) with fresh symbols all_57_0, all_57_1, % 36.25/11.16 | | | | all_57_2 gives: % 36.25/11.16 | | | | (127) apply(all_20_3, all_30_8, all_30_7) = all_57_0 & % 36.25/11.18 | | | | apply(all_20_3, all_30_8, all_30_7) = all_57_1 & % 36.25/11.18 | | | | apply(all_20_3, all_30_8, all_30_8) = all_57_2 & ( ~ (all_57_1 % 36.25/11.18 | | | | = 0) | ~ (all_57_2 = 0) | all_57_0 = 0) % 36.25/11.18 | | | | % 36.25/11.18 | | | | ALPHA: (127) implies: % 36.25/11.18 | | | | (128) apply(all_20_3, all_30_8, all_30_8) = all_57_2 % 36.25/11.18 | | | | (129) apply(all_20_3, all_30_8, all_30_7) = all_57_1 % 36.25/11.18 | | | | (130) apply(all_20_3, all_30_8, all_30_7) = all_57_0 % 36.25/11.18 | | | | % 36.25/11.18 | | | | DELTA: instantiating (96) with fresh symbols all_59_0, all_59_1, % 36.25/11.18 | | | | all_59_2 gives: % 36.25/11.18 | | | | (131) apply(all_20_3, all_30_7, all_30_7) = all_59_2 & % 36.25/11.18 | | | | apply(all_20_3, all_30_7, all_30_8) = all_59_0 & % 36.25/11.18 | | | | apply(all_20_3, all_30_7, all_30_8) = all_59_1 & ( ~ (all_59_1 % 36.25/11.18 | | | | = 0) | ~ (all_59_2 = 0) | all_59_0 = 0) % 36.25/11.18 | | | | % 36.25/11.18 | | | | ALPHA: (131) implies: % 36.25/11.18 | | | | (132) apply(all_20_3, all_30_7, all_30_8) = all_59_1 % 36.25/11.18 | | | | (133) apply(all_20_3, all_30_7, all_30_8) = all_59_0 % 36.25/11.18 | | | | (134) apply(all_20_3, all_30_7, all_30_7) = all_59_2 % 36.25/11.18 | | | | % 36.25/11.18 | | | | DELTA: instantiating (95) with fresh symbols all_61_0, all_61_1, % 36.25/11.18 | | | | all_61_2 gives: % 36.25/11.18 | | | | (135) apply(all_20_3, all_30_7, all_30_7) = all_61_0 & % 36.25/11.18 | | | | apply(all_20_3, all_30_7, all_30_8) = all_61_2 & % 36.25/11.18 | | | | apply(all_20_3, all_30_8, all_30_7) = all_61_1 & ( ~ (all_61_1 % 36.25/11.18 | | | | = 0) | ~ (all_61_2 = 0) | all_61_0 = 0) % 36.25/11.18 | | | | % 36.25/11.18 | | | | ALPHA: (135) implies: % 36.25/11.18 | | | | (136) apply(all_20_3, all_30_8, all_30_7) = all_61_1 % 36.25/11.18 | | | | (137) apply(all_20_3, all_30_7, all_30_8) = all_61_2 % 36.25/11.18 | | | | (138) apply(all_20_3, all_30_7, all_30_7) = all_61_0 % 36.25/11.18 | | | | % 36.25/11.18 | | | | DELTA: instantiating (94) with fresh symbols all_63_0, all_63_1, % 36.25/11.18 | | | | all_63_2 gives: % 36.25/11.18 | | | | (139) apply(all_20_3, all_30_7, all_30_7) = all_63_1 & % 36.25/11.18 | | | | apply(all_20_3, all_30_8, all_30_7) = all_63_0 & % 36.25/11.18 | | | | apply(all_20_3, all_30_8, all_30_7) = all_63_2 & ( ~ (all_63_1 % 36.25/11.18 | | | | = 0) | ~ (all_63_2 = 0) | all_63_0 = 0) % 36.25/11.19 | | | | % 36.25/11.19 | | | | ALPHA: (139) implies: % 36.25/11.19 | | | | (140) apply(all_20_3, all_30_8, all_30_7) = all_63_2 % 36.25/11.19 | | | | (141) apply(all_20_3, all_30_8, all_30_7) = all_63_0 % 36.25/11.19 | | | | (142) apply(all_20_3, all_30_7, all_30_7) = all_63_1 % 36.25/11.19 | | | | % 36.25/11.19 | | | | DELTA: instantiating (85) with fresh symbols all_65_0, all_65_1, % 36.25/11.19 | | | | all_65_2 gives: % 36.25/11.19 | | | | (143) apply(all_20_2, all_30_7, all_30_7) = all_65_0 & % 36.25/11.19 | | | | apply(all_20_2, all_30_7, all_30_7) = all_65_1 & % 36.25/11.19 | | | | apply(all_20_2, all_30_7, all_30_7) = all_65_2 & ( ~ (all_65_1 % 36.25/11.19 | | | | = 0) | ~ (all_65_2 = 0) | all_65_0 = 0) % 36.25/11.19 | | | | % 36.25/11.19 | | | | ALPHA: (143) implies: % 36.25/11.19 | | | | (144) apply(all_20_2, all_30_7, all_30_7) = all_65_2 % 36.25/11.19 | | | | (145) apply(all_20_2, all_30_7, all_30_7) = all_65_1 % 36.25/11.19 | | | | (146) apply(all_20_2, all_30_7, all_30_7) = all_65_0 % 36.25/11.19 | | | | % 36.25/11.19 | | | | DELTA: instantiating (93) with fresh symbols all_67_0, all_67_1, % 36.25/11.19 | | | | all_67_2 gives: % 36.25/11.19 | | | | (147) apply(all_20_3, all_30_7, all_30_7) = all_67_0 & % 36.25/11.19 | | | | apply(all_20_3, all_30_7, all_30_7) = all_67_1 & % 36.25/11.19 | | | | apply(all_20_3, all_30_7, all_30_7) = all_67_2 & ( ~ (all_67_1 % 36.25/11.19 | | | | = 0) | ~ (all_67_2 = 0) | all_67_0 = 0) % 36.25/11.19 | | | | % 36.25/11.19 | | | | ALPHA: (147) implies: % 36.25/11.20 | | | | (148) apply(all_20_3, all_30_7, all_30_7) = all_67_2 % 36.25/11.20 | | | | (149) apply(all_20_3, all_30_7, all_30_7) = all_67_1 % 36.25/11.20 | | | | (150) apply(all_20_3, all_30_7, all_30_7) = all_67_0 % 36.25/11.20 | | | | % 36.25/11.20 | | | | DELTA: instantiating (99) with fresh symbols all_69_0, all_69_1, % 36.25/11.20 | | | | all_69_2 gives: % 36.25/11.20 | | | | (151) apply(all_20_3, all_30_7, all_30_8) = all_69_0 & % 36.25/11.20 | | | | apply(all_20_3, all_30_7, all_30_8) = all_69_2 & % 36.25/11.20 | | | | apply(all_20_3, all_30_8, all_30_8) = all_69_1 & ( ~ (all_69_1 % 36.25/11.20 | | | | = 0) | ~ (all_69_2 = 0) | all_69_0 = 0) % 36.25/11.20 | | | | % 36.25/11.20 | | | | ALPHA: (151) implies: % 36.25/11.20 | | | | (152) apply(all_20_3, all_30_8, all_30_8) = all_69_1 % 36.25/11.20 | | | | (153) apply(all_20_3, all_30_7, all_30_8) = all_69_2 % 36.25/11.20 | | | | (154) apply(all_20_3, all_30_7, all_30_8) = all_69_0 % 36.25/11.20 | | | | % 36.25/11.20 | | | | DELTA: instantiating (90) with fresh symbols all_71_0, all_71_1, % 36.25/11.20 | | | | all_71_2 gives: % 36.25/11.20 | | | | (155) apply(all_20_2, all_30_7, all_30_8) = all_71_1 & % 36.25/11.20 | | | | apply(all_20_2, all_30_8, all_30_7) = all_71_2 & % 36.25/11.20 | | | | apply(all_20_2, all_30_8, all_30_8) = all_71_0 & ( ~ (all_71_1 % 36.25/11.20 | | | | = 0) | ~ (all_71_2 = 0) | all_71_0 = 0) % 36.25/11.20 | | | | % 36.25/11.20 | | | | ALPHA: (155) implies: % 36.25/11.21 | | | | (156) apply(all_20_2, all_30_8, all_30_8) = all_71_0 % 36.25/11.21 | | | | (157) apply(all_20_2, all_30_8, all_30_7) = all_71_2 % 36.25/11.21 | | | | (158) apply(all_20_2, all_30_7, all_30_8) = all_71_1 % 36.25/11.21 | | | | % 36.25/11.21 | | | | DELTA: instantiating (89) with fresh symbols all_73_0, all_73_1, % 36.25/11.21 | | | | all_73_2 gives: % 36.25/11.21 | | | | (159) apply(all_20_2, all_30_8, all_30_7) = all_73_0 & % 36.25/11.21 | | | | apply(all_20_2, all_30_8, all_30_7) = all_73_1 & % 36.25/11.21 | | | | apply(all_20_2, all_30_8, all_30_8) = all_73_2 & ( ~ (all_73_1 % 36.25/11.21 | | | | = 0) | ~ (all_73_2 = 0) | all_73_0 = 0) % 36.25/11.21 | | | | % 36.25/11.21 | | | | ALPHA: (159) implies: % 36.25/11.21 | | | | (160) apply(all_20_2, all_30_8, all_30_8) = all_73_2 % 36.25/11.21 | | | | (161) apply(all_20_2, all_30_8, all_30_7) = all_73_1 % 36.25/11.21 | | | | (162) apply(all_20_2, all_30_8, all_30_7) = all_73_0 % 36.25/11.21 | | | | % 36.25/11.21 | | | | DELTA: instantiating (91) with fresh symbols all_75_0, all_75_1, % 36.25/11.21 | | | | all_75_2 gives: % 36.25/11.21 | | | | (163) apply(all_20_2, all_30_7, all_30_8) = all_75_0 & % 36.25/11.21 | | | | apply(all_20_2, all_30_7, all_30_8) = all_75_2 & % 36.25/11.21 | | | | apply(all_20_2, all_30_8, all_30_8) = all_75_1 & ( ~ (all_75_1 % 36.25/11.21 | | | | = 0) | ~ (all_75_2 = 0) | all_75_0 = 0) % 36.25/11.21 | | | | % 36.25/11.21 | | | | ALPHA: (163) implies: % 36.25/11.21 | | | | (164) apply(all_20_2, all_30_8, all_30_8) = all_75_1 % 36.25/11.21 | | | | (165) apply(all_20_2, all_30_7, all_30_8) = all_75_2 % 36.25/11.21 | | | | (166) apply(all_20_2, all_30_7, all_30_8) = all_75_0 % 36.25/11.21 | | | | % 36.25/11.21 | | | | DELTA: instantiating (101) with fresh symbols all_77_0, all_77_1, % 36.25/11.21 | | | | all_77_2, all_77_3 gives: % 36.25/11.21 | | | | (167) apply(all_20_2, all_30_8, all_30_7) = all_77_0 & % 36.25/11.21 | | | | apply(all_20_3, all_30_8, all_30_7) = all_77_1 & % 36.25/11.21 | | | | member(all_30_7, all_20_4) = all_77_2 & member(all_30_8, % 36.25/11.21 | | | | all_20_4) = all_77_3 & ( ~ (all_77_2 = 0) | ~ (all_77_3 = 0) % 36.25/11.21 | | | | | (all_77_0 = 0 & all_77_1 = 0)) % 36.25/11.21 | | | | % 36.25/11.21 | | | | ALPHA: (167) implies: % 36.25/11.21 | | | | (168) member(all_30_8, all_20_4) = all_77_3 % 36.25/11.21 | | | | (169) member(all_30_7, all_20_4) = all_77_2 % 36.25/11.21 | | | | (170) apply(all_20_3, all_30_8, all_30_7) = all_77_1 % 36.25/11.21 | | | | (171) apply(all_20_2, all_30_8, all_30_7) = all_77_0 % 36.25/11.21 | | | | (172) ~ (all_77_2 = 0) | ~ (all_77_3 = 0) | (all_77_0 = 0 & % 36.25/11.21 | | | | all_77_1 = 0) % 36.25/11.21 | | | | % 36.25/11.21 | | | | DELTA: instantiating (102) with fresh symbols all_79_0, all_79_1, % 36.25/11.21 | | | | all_79_2, all_79_3 gives: % 36.25/11.21 | | | | (173) apply(all_20_2, all_30_7, all_30_8) = all_79_0 & % 36.25/11.21 | | | | apply(all_20_3, all_30_7, all_30_8) = all_79_1 & % 36.25/11.21 | | | | member(all_30_7, all_20_4) = all_79_3 & member(all_30_8, % 36.25/11.21 | | | | all_20_4) = all_79_2 & ( ~ (all_79_2 = 0) | ~ (all_79_3 = 0) % 36.25/11.21 | | | | | (( ~ (all_79_0 = 0) | ~ (all_79_1 = 0) | all_30_3 = 0) & ( % 36.25/11.21 | | | | ~ (all_30_3 = 0) | (all_79_0 = 0 & all_79_1 = 0)))) % 36.25/11.21 | | | | % 36.25/11.21 | | | | ALPHA: (173) implies: % 36.25/11.21 | | | | (174) member(all_30_8, all_20_4) = all_79_2 % 36.25/11.21 | | | | (175) member(all_30_7, all_20_4) = all_79_3 % 36.25/11.21 | | | | (176) apply(all_20_3, all_30_7, all_30_8) = all_79_1 % 36.25/11.21 | | | | (177) apply(all_20_2, all_30_7, all_30_8) = all_79_0 % 36.25/11.21 | | | | % 36.25/11.21 | | | | GROUND_INST: instantiating (5) with 0, all_79_2, all_20_4, all_30_8, % 36.25/11.21 | | | | simplifying with (77), (174) gives: % 36.25/11.21 | | | | (178) all_79_2 = 0 % 36.25/11.21 | | | | % 36.25/11.21 | | | | GROUND_INST: instantiating (5) with all_77_3, all_79_2, all_20_4, % 36.25/11.21 | | | | all_30_8, simplifying with (168), (174) gives: % 36.25/11.21 | | | | (179) all_79_2 = all_77_3 % 36.25/11.21 | | | | % 36.25/11.21 | | | | GROUND_INST: instantiating (5) with 0, all_79_3, all_20_4, all_30_7, % 36.25/11.21 | | | | simplifying with (78), (175) gives: % 36.25/11.21 | | | | (180) all_79_3 = 0 % 36.25/11.21 | | | | % 36.25/11.21 | | | | GROUND_INST: instantiating (5) with all_77_2, all_79_3, all_20_4, % 36.25/11.21 | | | | all_30_7, simplifying with (169), (175) gives: % 36.25/11.21 | | | | (181) all_79_3 = all_77_2 % 36.25/11.21 | | | | % 36.25/11.21 | | | | GROUND_INST: instantiating (6) with all_49_1, all_49_0, all_30_8, % 36.25/11.21 | | | | all_30_8, all_20_3, simplifying with (113), (114) gives: % 36.25/11.21 | | | | (182) all_49_0 = all_49_1 % 36.25/11.21 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_55_0, all_57_2, all_30_8, % 36.25/11.22 | | | | all_30_8, all_20_3, simplifying with (124), (128) gives: % 36.25/11.22 | | | | (183) all_57_2 = all_55_0 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_49_0, all_57_2, all_30_8, % 36.25/11.22 | | | | all_30_8, all_20_3, simplifying with (114), (128) gives: % 36.25/11.22 | | | | (184) all_57_2 = all_49_0 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with 0, all_57_2, all_30_8, all_30_8, % 36.25/11.22 | | | | all_20_3, simplifying with (84), (128) gives: % 36.25/11.22 | | | | (185) all_57_2 = 0 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_49_1, all_69_1, all_30_8, % 36.25/11.22 | | | | all_30_8, all_20_3, simplifying with (113), (152) gives: % 36.25/11.22 | | | | (186) all_69_1 = all_49_1 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_49_2, all_69_1, all_30_8, % 36.25/11.22 | | | | all_30_8, all_20_3, simplifying with (112), (152) gives: % 36.25/11.22 | | | | (187) all_69_1 = all_49_2 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_57_0, all_61_1, all_30_7, % 36.25/11.22 | | | | all_30_8, all_20_3, simplifying with (130), (136) gives: % 36.25/11.22 | | | | (188) all_61_1 = all_57_0 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_61_1, all_63_0, all_30_7, % 36.25/11.22 | | | | all_30_8, all_20_3, simplifying with (136), (141) gives: % 36.25/11.22 | | | | (189) all_63_0 = all_61_1 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_55_2, all_63_0, all_30_7, % 36.25/11.22 | | | | all_30_8, all_20_3, simplifying with (125), (141) gives: % 36.25/11.22 | | | | (190) all_63_0 = all_55_2 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_63_2, all_77_1, all_30_7, % 36.25/11.22 | | | | all_30_8, all_20_3, simplifying with (140), (170) gives: % 36.25/11.22 | | | | (191) all_77_1 = all_63_2 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_61_1, all_77_1, all_30_7, % 36.25/11.22 | | | | all_30_8, all_20_3, simplifying with (136), (170) gives: % 36.25/11.22 | | | | (192) all_77_1 = all_61_1 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_57_1, all_77_1, all_30_7, % 36.25/11.22 | | | | all_30_8, all_20_3, simplifying with (129), (170) gives: % 36.25/11.22 | | | | (193) all_77_1 = all_57_1 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_59_0, all_69_2, all_30_8, % 36.25/11.22 | | | | all_30_7, all_20_3, simplifying with (133), (153) gives: % 36.25/11.22 | | | | (194) all_69_2 = all_59_0 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_59_1, all_69_2, all_30_8, % 36.25/11.22 | | | | all_30_7, all_20_3, simplifying with (132), (153) gives: % 36.25/11.22 | | | | (195) all_69_2 = all_59_1 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_55_1, all_69_2, all_30_8, % 36.25/11.22 | | | | all_30_7, all_20_3, simplifying with (126), (153) gives: % 36.25/11.22 | | | | (196) all_69_2 = all_55_1 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_69_0, all_79_1, all_30_8, % 36.25/11.22 | | | | all_30_7, all_20_3, simplifying with (154), (176) gives: % 36.25/11.22 | | | | (197) all_79_1 = all_69_0 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_69_2, all_79_1, all_30_8, % 36.25/11.22 | | | | all_30_7, all_20_3, simplifying with (153), (176) gives: % 36.25/11.22 | | | | (198) all_79_1 = all_69_2 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_61_2, all_79_1, all_30_8, % 36.25/11.22 | | | | all_30_7, all_20_3, simplifying with (137), (176) gives: % 36.25/11.22 | | | | (199) all_79_1 = all_61_2 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_59_2, all_61_0, all_30_7, % 36.25/11.22 | | | | all_30_7, all_20_3, simplifying with (134), (138) gives: % 36.25/11.22 | | | | (200) all_61_0 = all_59_2 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_61_0, all_63_1, all_30_7, % 36.25/11.22 | | | | all_30_7, all_20_3, simplifying with (138), (142) gives: % 36.25/11.22 | | | | (201) all_63_1 = all_61_0 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_67_2, all_67_1, all_30_7, % 36.25/11.22 | | | | all_30_7, all_20_3, simplifying with (148), (149) gives: % 36.25/11.22 | | | | (202) all_67_1 = all_67_2 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_63_1, all_67_1, all_30_7, % 36.25/11.22 | | | | all_30_7, all_20_3, simplifying with (142), (149) gives: % 36.25/11.22 | | | | (203) all_67_1 = all_63_1 % 36.25/11.22 | | | | % 36.25/11.22 | | | | GROUND_INST: instantiating (6) with all_67_1, all_67_0, all_30_7, % 36.25/11.23 | | | | all_30_7, all_20_3, simplifying with (149), (150) gives: % 36.25/11.23 | | | | (204) all_67_0 = all_67_1 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with 0, all_67_0, all_30_7, all_30_7, % 36.25/11.23 | | | | all_20_3, simplifying with (100), (150) gives: % 36.25/11.23 | | | | (205) all_67_0 = 0 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with 0, all_51_1, all_30_8, all_30_8, % 36.25/11.23 | | | | all_20_2, simplifying with (82), (117) gives: % 36.25/11.23 | | | | (206) all_51_1 = 0 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_51_1, all_51_0, all_30_8, % 36.25/11.23 | | | | all_30_8, all_20_2, simplifying with (117), (118) gives: % 36.25/11.23 | | | | (207) all_51_0 = all_51_1 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_51_0, all_71_0, all_30_8, % 36.25/11.23 | | | | all_30_8, all_20_2, simplifying with (118), (156) gives: % 36.25/11.23 | | | | (208) all_71_0 = all_51_0 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_71_0, all_73_2, all_30_8, % 36.25/11.23 | | | | all_30_8, all_20_2, simplifying with (156), (160) gives: % 36.25/11.23 | | | | (209) all_73_2 = all_71_0 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_73_2, all_75_1, all_30_8, % 36.25/11.23 | | | | all_30_8, all_20_2, simplifying with (160), (164) gives: % 36.25/11.23 | | | | (210) all_75_1 = all_73_2 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_51_2, all_75_1, all_30_8, % 36.25/11.23 | | | | all_30_8, all_20_2, simplifying with (116), (164) gives: % 36.25/11.23 | | | | (211) all_75_1 = all_51_2 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_53_2, all_53_0, all_30_7, % 36.25/11.23 | | | | all_30_8, all_20_2, simplifying with (120), (121) gives: % 36.25/11.23 | | | | (212) all_53_0 = all_53_2 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_53_0, all_71_2, all_30_7, % 36.25/11.23 | | | | all_30_8, all_20_2, simplifying with (121), (157) gives: % 36.25/11.23 | | | | (213) all_71_2 = all_53_0 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_73_0, all_77_0, all_30_7, % 36.25/11.23 | | | | all_30_8, all_20_2, simplifying with (162), (171) gives: % 36.25/11.23 | | | | (214) all_77_0 = all_73_0 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_73_1, all_77_0, all_30_7, % 36.25/11.23 | | | | all_30_8, all_20_2, simplifying with (161), (171) gives: % 36.25/11.23 | | | | (215) all_77_0 = all_73_1 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_71_2, all_77_0, all_30_7, % 36.25/11.23 | | | | all_30_8, all_20_2, simplifying with (157), (171) gives: % 36.25/11.23 | | | | (216) all_77_0 = all_71_2 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_47_1, all_77_0, all_30_7, % 36.25/11.23 | | | | all_30_8, all_20_2, simplifying with (108), (171) gives: % 36.25/11.23 | | | | (217) all_77_0 = all_47_1 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_71_1, all_75_2, all_30_8, % 36.25/11.23 | | | | all_30_7, all_20_2, simplifying with (158), (165) gives: % 36.25/11.23 | | | | (218) all_75_2 = all_71_1 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_47_2, all_75_2, all_30_8, % 36.25/11.23 | | | | all_30_7, all_20_2, simplifying with (109), (165) gives: % 36.25/11.23 | | | | (219) all_75_2 = all_47_2 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_45_1, all_75_2, all_30_8, % 36.25/11.23 | | | | all_30_7, all_20_2, simplifying with (104), (165) gives: % 36.25/11.23 | | | | (220) all_75_2 = all_45_1 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_71_1, all_75_0, all_30_8, % 36.25/11.23 | | | | all_30_7, all_20_2, simplifying with (158), (166) gives: % 36.25/11.23 | | | | (221) all_75_0 = all_71_1 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_75_0, all_79_0, all_30_8, % 36.25/11.23 | | | | all_30_7, all_20_2, simplifying with (166), (177) gives: % 36.25/11.23 | | | | (222) all_79_0 = all_75_0 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_45_0, all_79_0, all_30_8, % 36.25/11.23 | | | | all_30_7, all_20_2, simplifying with (105), (177) gives: % 36.25/11.23 | | | | (223) all_79_0 = all_45_0 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with 0, all_47_0, all_30_7, all_30_7, % 36.25/11.23 | | | | all_20_2, simplifying with (92), (110) gives: % 36.25/11.23 | | | | (224) all_47_0 = 0 % 36.25/11.23 | | | | % 36.25/11.23 | | | | GROUND_INST: instantiating (6) with all_65_2, all_65_1, all_30_7, % 36.25/11.23 | | | | all_30_7, all_20_2, simplifying with (144), (145) gives: % 36.25/11.23 | | | | (225) all_65_1 = all_65_2 % 36.25/11.23 | | | | % 36.25/11.24 | | | | GROUND_INST: instantiating (6) with all_45_2, all_65_1, all_30_7, % 36.25/11.24 | | | | all_30_7, all_20_2, simplifying with (106), (145) gives: % 36.25/11.24 | | | | (226) all_65_1 = all_45_2 % 36.25/11.24 | | | | % 36.25/11.24 | | | | GROUND_INST: instantiating (6) with all_65_1, all_65_0, all_30_7, % 36.25/11.24 | | | | all_30_7, all_20_2, simplifying with (145), (146) gives: % 36.25/11.24 | | | | (227) all_65_0 = all_65_1 % 36.25/11.24 | | | | % 36.25/11.24 | | | | GROUND_INST: instantiating (6) with all_53_1, all_65_0, all_30_7, % 36.25/11.24 | | | | all_30_7, all_20_2, simplifying with (122), (146) gives: % 36.25/11.24 | | | | (228) all_65_0 = all_53_1 % 36.25/11.24 | | | | % 36.25/11.24 | | | | GROUND_INST: instantiating (6) with all_47_0, all_65_0, all_30_7, % 36.25/11.24 | | | | all_30_7, all_20_2, simplifying with (110), (146) gives: % 36.25/11.24 | | | | (229) all_65_0 = all_47_0 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (222), (223) imply: % 36.25/11.24 | | | | (230) all_75_0 = all_45_0 % 36.25/11.24 | | | | % 36.25/11.24 | | | | SIMP: (230) implies: % 36.25/11.24 | | | | (231) all_75_0 = all_45_0 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (197), (199) imply: % 36.25/11.24 | | | | (232) all_69_0 = all_61_2 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (197), (198) imply: % 36.25/11.24 | | | | (233) all_69_0 = all_69_2 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (178), (179) imply: % 36.25/11.24 | | | | (234) all_77_3 = 0 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (180), (181) imply: % 36.25/11.24 | | | | (235) all_77_2 = 0 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (214), (215) imply: % 36.25/11.24 | | | | (236) all_73_0 = all_73_1 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (214), (217) imply: % 36.25/11.24 | | | | (237) all_73_0 = all_47_1 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (214), (216) imply: % 36.25/11.24 | | | | (238) all_73_0 = all_71_2 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (191), (193) imply: % 36.25/11.24 | | | | (239) all_63_2 = all_57_1 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (191), (192) imply: % 36.25/11.24 | | | | (240) all_63_2 = all_61_1 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (221), (231) imply: % 36.25/11.24 | | | | (241) all_71_1 = all_45_0 % 36.25/11.24 | | | | % 36.25/11.24 | | | | SIMP: (241) implies: % 36.25/11.24 | | | | (242) all_71_1 = all_45_0 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (210), (211) imply: % 36.25/11.24 | | | | (243) all_73_2 = all_51_2 % 36.25/11.24 | | | | % 36.25/11.24 | | | | SIMP: (243) implies: % 36.25/11.24 | | | | (244) all_73_2 = all_51_2 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (218), (219) imply: % 36.25/11.24 | | | | (245) all_71_1 = all_47_2 % 36.25/11.24 | | | | % 36.25/11.24 | | | | SIMP: (245) implies: % 36.25/11.24 | | | | (246) all_71_1 = all_47_2 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (219), (220) imply: % 36.25/11.24 | | | | (247) all_47_2 = all_45_1 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (236), (238) imply: % 36.25/11.24 | | | | (248) all_73_1 = all_71_2 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (236), (237) imply: % 36.25/11.24 | | | | (249) all_73_1 = all_47_1 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (248), (249) imply: % 36.25/11.24 | | | | (250) all_71_2 = all_47_1 % 36.25/11.24 | | | | % 36.25/11.24 | | | | SIMP: (250) implies: % 36.25/11.24 | | | | (251) all_71_2 = all_47_1 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (209), (244) imply: % 36.25/11.24 | | | | (252) all_71_0 = all_51_2 % 36.25/11.24 | | | | % 36.25/11.24 | | | | SIMP: (252) implies: % 36.25/11.24 | | | | (253) all_71_0 = all_51_2 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (208), (253) imply: % 36.25/11.24 | | | | (254) all_51_0 = all_51_2 % 36.25/11.24 | | | | % 36.25/11.24 | | | | SIMP: (254) implies: % 36.25/11.24 | | | | (255) all_51_0 = all_51_2 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (242), (246) imply: % 36.25/11.24 | | | | (256) all_47_2 = all_45_0 % 36.25/11.24 | | | | % 36.25/11.24 | | | | SIMP: (256) implies: % 36.25/11.24 | | | | (257) all_47_2 = all_45_0 % 36.25/11.24 | | | | % 36.25/11.24 | | | | COMBINE_EQS: (213), (251) imply: % 36.25/11.24 | | | | (258) all_53_0 = all_47_1 % 36.25/11.24 | | | | % 36.25/11.24 | | | | SIMP: (258) implies: % 36.25/11.24 | | | | (259) all_53_0 = all_47_1 % 36.25/11.24 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (232), (233) imply: % 36.25/11.25 | | | | (260) all_69_2 = all_61_2 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (260) implies: % 36.25/11.25 | | | | (261) all_69_2 = all_61_2 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (186), (187) imply: % 36.25/11.25 | | | | (262) all_49_1 = all_49_2 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (262) implies: % 36.25/11.25 | | | | (263) all_49_1 = all_49_2 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (195), (261) imply: % 36.25/11.25 | | | | (264) all_61_2 = all_59_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (194), (261) imply: % 36.25/11.25 | | | | (265) all_61_2 = all_59_0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (196), (261) imply: % 36.25/11.25 | | | | (266) all_61_2 = all_55_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (204), (205) imply: % 36.25/11.25 | | | | (267) all_67_1 = 0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (267) implies: % 36.25/11.25 | | | | (268) all_67_1 = 0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (202), (268) imply: % 36.25/11.25 | | | | (269) all_67_2 = 0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (202), (203) imply: % 36.25/11.25 | | | | (270) all_67_2 = all_63_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (269), (270) imply: % 36.25/11.25 | | | | (271) all_63_1 = 0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (271) implies: % 36.25/11.25 | | | | (272) all_63_1 = 0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (227), (228) imply: % 36.25/11.25 | | | | (273) all_65_1 = all_53_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (273) implies: % 36.25/11.25 | | | | (274) all_65_1 = all_53_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (228), (229) imply: % 36.25/11.25 | | | | (275) all_53_1 = all_47_0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (225), (226) imply: % 36.25/11.25 | | | | (276) all_65_2 = all_45_2 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (225), (274) imply: % 36.25/11.25 | | | | (277) all_65_2 = all_53_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (276), (277) imply: % 36.25/11.25 | | | | (278) all_53_1 = all_45_2 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (278) implies: % 36.25/11.25 | | | | (279) all_53_1 = all_45_2 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (189), (190) imply: % 36.25/11.25 | | | | (280) all_61_1 = all_55_2 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (280) implies: % 36.25/11.25 | | | | (281) all_61_1 = all_55_2 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (201), (272) imply: % 36.25/11.25 | | | | (282) all_61_0 = 0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (282) implies: % 36.25/11.25 | | | | (283) all_61_0 = 0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (239), (240) imply: % 36.25/11.25 | | | | (284) all_61_1 = all_57_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (284) implies: % 36.25/11.25 | | | | (285) all_61_1 = all_57_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (200), (283) imply: % 36.25/11.25 | | | | (286) all_59_2 = 0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (286) implies: % 36.25/11.25 | | | | (287) all_59_2 = 0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (188), (281) imply: % 36.25/11.25 | | | | (288) all_57_0 = all_55_2 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (188), (285) imply: % 36.25/11.25 | | | | (289) all_57_0 = all_57_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (265), (266) imply: % 36.25/11.25 | | | | (290) all_59_0 = all_55_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (264), (265) imply: % 36.25/11.25 | | | | (291) all_59_0 = all_59_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (290), (291) imply: % 36.25/11.25 | | | | (292) all_59_1 = all_55_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (292) implies: % 36.25/11.25 | | | | (293) all_59_1 = all_55_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (288), (289) imply: % 36.25/11.25 | | | | (294) all_57_1 = all_55_2 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (294) implies: % 36.25/11.25 | | | | (295) all_57_1 = all_55_2 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (183), (184) imply: % 36.25/11.25 | | | | (296) all_55_0 = all_49_0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (183), (185) imply: % 36.25/11.25 | | | | (297) all_55_0 = 0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (296), (297) imply: % 36.25/11.25 | | | | (298) all_49_0 = 0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (298) implies: % 36.25/11.25 | | | | (299) all_49_0 = 0 % 36.25/11.25 | | | | % 36.25/11.25 | | | | COMBINE_EQS: (212), (259) imply: % 36.25/11.25 | | | | (300) all_53_2 = all_47_1 % 36.25/11.25 | | | | % 36.25/11.25 | | | | SIMP: (300) implies: % 36.25/11.26 | | | | (301) all_53_2 = all_47_1 % 36.25/11.26 | | | | % 36.25/11.26 | | | | COMBINE_EQS: (275), (279) imply: % 36.25/11.26 | | | | (302) all_47_0 = all_45_2 % 36.25/11.26 | | | | % 36.25/11.26 | | | | SIMP: (302) implies: % 36.25/11.26 | | | | (303) all_47_0 = all_45_2 % 36.25/11.26 | | | | % 36.25/11.26 | | | | COMBINE_EQS: (207), (255) imply: % 36.25/11.26 | | | | (304) all_51_1 = all_51_2 % 36.25/11.26 | | | | % 36.25/11.26 | | | | SIMP: (304) implies: % 36.25/11.26 | | | | (305) all_51_1 = all_51_2 % 36.25/11.26 | | | | % 36.25/11.26 | | | | COMBINE_EQS: (206), (305) imply: % 36.25/11.26 | | | | (306) all_51_2 = 0 % 36.25/11.26 | | | | % 36.25/11.26 | | | | COMBINE_EQS: (182), (299) imply: % 36.25/11.26 | | | | (307) all_49_1 = 0 % 36.25/11.27 | | | | % 36.25/11.27 | | | | SIMP: (307) implies: % 36.25/11.27 | | | | (308) all_49_1 = 0 % 36.25/11.27 | | | | % 36.25/11.27 | | | | COMBINE_EQS: (263), (308) imply: % 36.25/11.27 | | | | (309) all_49_2 = 0 % 36.25/11.27 | | | | % 36.25/11.27 | | | | COMBINE_EQS: (224), (303) imply: % 36.25/11.27 | | | | (310) all_45_2 = 0 % 36.25/11.27 | | | | % 36.25/11.27 | | | | COMBINE_EQS: (247), (257) imply: % 36.25/11.27 | | | | (311) all_45_0 = all_45_1 % 36.25/11.27 | | | | % 36.25/11.27 | | | | COMBINE_EQS: (239), (295) imply: % 36.25/11.27 | | | | (312) all_63_2 = all_55_2 % 36.25/11.27 | | | | % 36.25/11.27 | | | | COMBINE_EQS: (191), (312) imply: % 36.25/11.27 | | | | (313) all_77_1 = all_55_2 % 36.25/11.27 | | | | % 36.25/11.27 | | | | BETA: splitting (172) gives: % 36.25/11.27 | | | | % 36.25/11.27 | | | | Case 1: % 36.25/11.27 | | | | | % 36.25/11.27 | | | | | (314) ~ (all_77_2 = 0) % 36.25/11.27 | | | | | % 36.25/11.27 | | | | | REDUCE: (235), (314) imply: % 36.25/11.27 | | | | | (315) $false % 36.25/11.27 | | | | | % 36.25/11.27 | | | | | CLOSE: (315) is inconsistent. % 36.25/11.27 | | | | | % 36.25/11.27 | | | | Case 2: % 36.25/11.27 | | | | | % 36.25/11.27 | | | | | (316) ~ (all_77_3 = 0) | (all_77_0 = 0 & all_77_1 = 0) % 36.25/11.27 | | | | | % 36.25/11.27 | | | | | BETA: splitting (316) gives: % 36.25/11.27 | | | | | % 36.25/11.27 | | | | | Case 1: % 36.25/11.27 | | | | | | % 36.25/11.27 | | | | | | (317) ~ (all_77_3 = 0) % 36.25/11.27 | | | | | | % 36.25/11.27 | | | | | | REDUCE: (234), (317) imply: % 36.25/11.27 | | | | | | (318) $false % 36.25/11.27 | | | | | | % 36.25/11.27 | | | | | | CLOSE: (318) is inconsistent. % 36.25/11.27 | | | | | | % 36.25/11.27 | | | | | Case 2: % 36.25/11.27 | | | | | | % 36.25/11.27 | | | | | | (319) all_77_0 = 0 & all_77_1 = 0 % 36.25/11.27 | | | | | | % 36.25/11.27 | | | | | | ALPHA: (319) implies: % 36.25/11.27 | | | | | | (320) all_77_1 = 0 % 36.25/11.27 | | | | | | (321) all_77_0 = 0 % 36.25/11.27 | | | | | | % 36.25/11.27 | | | | | | COMBINE_EQS: (217), (321) imply: % 36.25/11.27 | | | | | | (322) all_47_1 = 0 % 36.25/11.27 | | | | | | % 36.25/11.27 | | | | | | COMBINE_EQS: (313), (320) imply: % 36.25/11.28 | | | | | | (323) all_55_2 = 0 % 36.25/11.28 | | | | | | % 36.25/11.28 | | | | | | REDUCE: (108), (322) imply: % 36.25/11.28 | | | | | | (324) apply(all_20_2, all_30_8, all_30_7) = 0 % 36.25/11.28 | | | | | | % 36.25/11.28 | | | | | | REDUCE: (125), (323) imply: % 36.25/11.28 | | | | | | (325) apply(all_20_3, all_30_8, all_30_7) = 0 % 36.25/11.28 | | | | | | % 36.25/11.28 | | | | | | GROUND_INST: instantiating (16) with all_30_8, all_30_8, 0, % 36.25/11.28 | | | | | | simplifying with (27), (84) gives: % 36.25/11.28 | | | | | | (326) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 36.25/11.28 | | | | | | (apply(all_20_1, all_30_8, all_30_8) = v2 & apply(all_20_2, % 36.25/11.28 | | | | | | all_30_8, all_30_8) = v3 & member(all_30_8, all_20_4) = % 36.25/11.28 | | | | | | v1 & member(all_30_8, all_20_4) = v0 & ( ~ (v1 = 0) | ~ % 36.25/11.28 | | | | | | (v0 = 0) | (( ~ (v3 = 0) | v2 = 0) & ( ~ (v2 = 0) | v3 % 36.25/11.28 | | | | | | = 0)))) % 36.25/11.28 | | | | | | % 36.25/11.28 | | | | | | GROUND_INST: instantiating (3) with all_20_4, all_20_3, all_30_8, % 36.25/11.28 | | | | | | all_30_7, simplifying with (9), (10), (13), (27), (28), % 36.25/11.28 | | | | | | (325) gives: % 36.25/11.28 | | | | | | (327) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 36.25/11.28 | | | | | | (apply(all_20_3, all_30_7, all_30_8) = v2 & % 36.25/11.28 | | | | | | member(all_30_7, all_20_4) = v1 & member(all_30_8, % 36.25/11.28 | | | | | | all_20_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.28 | | | | | | % 36.25/11.28 | | | | | | GROUND_INST: instantiating (16) with all_30_7, all_30_8, all_55_1, % 36.25/11.28 | | | | | | simplifying with (27), (28), (126) gives: % 36.25/11.28 | | | | | | (328) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 36.25/11.28 | | | | | | (apply(all_20_1, all_30_7, all_30_8) = v2 & apply(all_20_2, % 36.25/11.28 | | | | | | all_30_7, all_30_8) = v3 & member(all_30_7, all_20_4) = % 36.25/11.28 | | | | | | v0 & member(all_30_8, all_20_4) = v1 & ( ~ (v1 = 0) | ~ % 36.25/11.28 | | | | | | (v0 = 0) | (( ~ (v3 = 0) | ~ (all_55_1 = 0) | v2 = 0) % 36.25/11.28 | | | | | | & ( ~ (v2 = 0) | (v3 = 0 & all_55_1 = 0))))) % 36.25/11.28 | | | | | | % 36.25/11.28 | | | | | | GROUND_INST: instantiating (16) with all_30_7, all_30_7, 0, % 36.25/11.28 | | | | | | simplifying with (28), (100) gives: % 36.25/11.28 | | | | | | (329) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 36.25/11.28 | | | | | | (apply(all_20_1, all_30_7, all_30_7) = v2 & apply(all_20_2, % 36.25/11.28 | | | | | | all_30_7, all_30_7) = v3 & member(all_30_7, all_20_4) = % 36.25/11.28 | | | | | | v1 & member(all_30_7, all_20_4) = v0 & ( ~ (v1 = 0) | ~ % 36.25/11.28 | | | | | | (v0 = 0) | (( ~ (v3 = 0) | v2 = 0) & ( ~ (v2 = 0) | v3 % 36.25/11.28 | | | | | | = 0)))) % 36.25/11.28 | | | | | | % 36.25/11.28 | | | | | | GROUND_INST: instantiating (17) with all_30_8, all_30_8, 0, % 36.25/11.28 | | | | | | simplifying with (27), (82) gives: % 36.25/11.28 | | | | | | (330) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 36.25/11.28 | | | | | | (apply(all_20_1, all_30_8, all_30_8) = v2 & apply(all_20_3, % 36.25/11.28 | | | | | | all_30_8, all_30_8) = v3 & member(all_30_8, all_20_4) = % 36.25/11.28 | | | | | | v1 & member(all_30_8, all_20_4) = v0 & ( ~ (v1 = 0) | ~ % 36.25/11.28 | | | | | | (v0 = 0) | (( ~ (v3 = 0) | v2 = 0) & ( ~ (v2 = 0) | v3 % 36.25/11.28 | | | | | | = 0)))) % 36.25/11.28 | | | | | | % 36.25/11.28 | | | | | | GROUND_INST: instantiating (3) with all_20_4, all_20_2, all_30_8, % 36.25/11.28 | | | | | | all_30_7, simplifying with (9), (11), (14), (27), (28), % 36.25/11.28 | | | | | | (324) gives: % 36.25/11.28 | | | | | | (331) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 36.25/11.28 | | | | | | (apply(all_20_2, all_30_7, all_30_8) = v2 & % 36.25/11.28 | | | | | | member(all_30_7, all_20_4) = v1 & member(all_30_8, % 36.25/11.28 | | | | | | all_20_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 36.25/11.28 | | | | | | % 36.25/11.28 | | | | | | GROUND_INST: instantiating (17) with all_30_7, all_30_8, all_45_1, % 36.25/11.28 | | | | | | simplifying with (27), (28), (104) gives: % 36.25/11.28 | | | | | | (332) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 36.25/11.28 | | | | | | (apply(all_20_1, all_30_7, all_30_8) = v2 & apply(all_20_3, % 36.25/11.28 | | | | | | all_30_7, all_30_8) = v3 & member(all_30_7, all_20_4) = % 36.25/11.28 | | | | | | v0 & member(all_30_8, all_20_4) = v1 & ( ~ (v1 = 0) | ~ % 36.25/11.28 | | | | | | (v0 = 0) | (( ~ (v3 = 0) | ~ (all_45_1 = 0) | v2 = 0) % 36.25/11.28 | | | | | | & ( ~ (v2 = 0) | (v3 = 0 & all_45_1 = 0))))) % 36.25/11.28 | | | | | | % 36.25/11.28 | | | | | | GROUND_INST: instantiating (17) with all_30_7, all_30_7, 0, % 36.25/11.28 | | | | | | simplifying with (28), (92) gives: % 36.25/11.28 | | | | | | (333) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 36.25/11.28 | | | | | | (apply(all_20_1, all_30_7, all_30_7) = v2 & apply(all_20_3, % 36.25/11.28 | | | | | | all_30_7, all_30_7) = v3 & member(all_30_7, all_20_4) = % 36.25/11.28 | | | | | | v1 & member(all_30_7, all_20_4) = v0 & ( ~ (v1 = 0) | ~ % 36.25/11.28 | | | | | | (v0 = 0) | (( ~ (v3 = 0) | v2 = 0) & ( ~ (v2 = 0) | v3 % 36.25/11.28 | | | | | | = 0)))) % 36.25/11.28 | | | | | | % 36.25/11.28 | | | | | | DELTA: instantiating (331) with fresh symbols all_98_0, all_98_1, % 36.25/11.28 | | | | | | all_98_2 gives: % 36.25/11.29 | | | | | | (334) apply(all_20_2, all_30_7, all_30_8) = all_98_0 & % 36.25/11.29 | | | | | | member(all_30_7, all_20_4) = all_98_1 & member(all_30_8, % 36.25/11.29 | | | | | | all_20_4) = all_98_2 & ( ~ (all_98_1 = 0) | ~ (all_98_2 % 36.25/11.30 | | | | | | = 0) | all_98_0 = 0) % 36.25/11.30 | | | | | | % 36.25/11.30 | | | | | | ALPHA: (334) implies: % 36.25/11.30 | | | | | | (335) member(all_30_8, all_20_4) = all_98_2 % 36.25/11.30 | | | | | | (336) member(all_30_7, all_20_4) = all_98_1 % 36.25/11.30 | | | | | | (337) apply(all_20_2, all_30_7, all_30_8) = all_98_0 % 36.25/11.30 | | | | | | (338) ~ (all_98_1 = 0) | ~ (all_98_2 = 0) | all_98_0 = 0 % 36.25/11.30 | | | | | | % 36.25/11.30 | | | | | | DELTA: instantiating (327) with fresh symbols all_100_0, all_100_1, % 36.25/11.30 | | | | | | all_100_2 gives: % 36.25/11.30 | | | | | | (339) apply(all_20_3, all_30_7, all_30_8) = all_100_0 & % 36.25/11.30 | | | | | | member(all_30_7, all_20_4) = all_100_1 & member(all_30_8, % 36.25/11.30 | | | | | | all_20_4) = all_100_2 & ( ~ (all_100_1 = 0) | ~ % 36.25/11.30 | | | | | | (all_100_2 = 0) | all_100_0 = 0) % 36.25/11.30 | | | | | | % 36.25/11.30 | | | | | | ALPHA: (339) implies: % 36.25/11.30 | | | | | | (340) member(all_30_8, all_20_4) = all_100_2 % 36.25/11.30 | | | | | | (341) member(all_30_7, all_20_4) = all_100_1 % 36.25/11.30 | | | | | | (342) apply(all_20_3, all_30_7, all_30_8) = all_100_0 % 36.25/11.30 | | | | | | (343) ~ (all_100_1 = 0) | ~ (all_100_2 = 0) | all_100_0 = 0 % 36.25/11.30 | | | | | | % 36.25/11.30 | | | | | | DELTA: instantiating (333) with fresh symbols all_102_0, all_102_1, % 36.25/11.30 | | | | | | all_102_2, all_102_3 gives: % 36.25/11.30 | | | | | | (344) apply(all_20_1, all_30_7, all_30_7) = all_102_1 & % 36.25/11.30 | | | | | | apply(all_20_3, all_30_7, all_30_7) = all_102_0 & % 36.25/11.30 | | | | | | member(all_30_7, all_20_4) = all_102_2 & member(all_30_7, % 36.25/11.30 | | | | | | all_20_4) = all_102_3 & ( ~ (all_102_2 = 0) | ~ % 36.25/11.30 | | | | | | (all_102_3 = 0) | (( ~ (all_102_0 = 0) | all_102_1 = 0) & % 36.25/11.30 | | | | | | ( ~ (all_102_1 = 0) | all_102_0 = 0))) % 36.25/11.30 | | | | | | % 36.25/11.30 | | | | | | ALPHA: (344) implies: % 36.25/11.30 | | | | | | (345) member(all_30_7, all_20_4) = all_102_3 % 36.25/11.30 | | | | | | (346) member(all_30_7, all_20_4) = all_102_2 % 36.25/11.30 | | | | | | % 36.25/11.30 | | | | | | DELTA: instantiating (329) with fresh symbols all_104_0, all_104_1, % 36.25/11.30 | | | | | | all_104_2, all_104_3 gives: % 36.25/11.30 | | | | | | (347) apply(all_20_1, all_30_7, all_30_7) = all_104_1 & % 36.25/11.30 | | | | | | apply(all_20_2, all_30_7, all_30_7) = all_104_0 & % 36.25/11.30 | | | | | | member(all_30_7, all_20_4) = all_104_2 & member(all_30_7, % 36.25/11.30 | | | | | | all_20_4) = all_104_3 & ( ~ (all_104_2 = 0) | ~ % 36.25/11.30 | | | | | | (all_104_3 = 0) | (( ~ (all_104_0 = 0) | all_104_1 = 0) & % 36.25/11.30 | | | | | | ( ~ (all_104_1 = 0) | all_104_0 = 0))) % 36.25/11.30 | | | | | | % 36.25/11.30 | | | | | | ALPHA: (347) implies: % 36.25/11.30 | | | | | | (348) member(all_30_7, all_20_4) = all_104_3 % 36.25/11.30 | | | | | | (349) member(all_30_7, all_20_4) = all_104_2 % 36.25/11.30 | | | | | | % 36.25/11.30 | | | | | | DELTA: instantiating (326) with fresh symbols all_106_0, all_106_1, % 36.25/11.30 | | | | | | all_106_2, all_106_3 gives: % 36.25/11.30 | | | | | | (350) apply(all_20_1, all_30_8, all_30_8) = all_106_1 & % 36.25/11.30 | | | | | | apply(all_20_2, all_30_8, all_30_8) = all_106_0 & % 36.25/11.30 | | | | | | member(all_30_8, all_20_4) = all_106_2 & member(all_30_8, % 36.25/11.30 | | | | | | all_20_4) = all_106_3 & ( ~ (all_106_2 = 0) | ~ % 36.25/11.30 | | | | | | (all_106_3 = 0) | (( ~ (all_106_0 = 0) | all_106_1 = 0) & % 36.25/11.30 | | | | | | ( ~ (all_106_1 = 0) | all_106_0 = 0))) % 36.25/11.30 | | | | | | % 36.25/11.30 | | | | | | ALPHA: (350) implies: % 36.25/11.30 | | | | | | (351) member(all_30_8, all_20_4) = all_106_3 % 36.25/11.30 | | | | | | (352) member(all_30_8, all_20_4) = all_106_2 % 36.25/11.30 | | | | | | % 36.25/11.30 | | | | | | DELTA: instantiating (330) with fresh symbols all_108_0, all_108_1, % 36.25/11.30 | | | | | | all_108_2, all_108_3 gives: % 36.25/11.31 | | | | | | (353) apply(all_20_1, all_30_8, all_30_8) = all_108_1 & % 36.25/11.31 | | | | | | apply(all_20_3, all_30_8, all_30_8) = all_108_0 & % 36.25/11.31 | | | | | | member(all_30_8, all_20_4) = all_108_2 & member(all_30_8, % 36.25/11.31 | | | | | | all_20_4) = all_108_3 & ( ~ (all_108_2 = 0) | ~ % 36.25/11.31 | | | | | | (all_108_3 = 0) | (( ~ (all_108_0 = 0) | all_108_1 = 0) & % 36.25/11.31 | | | | | | ( ~ (all_108_1 = 0) | all_108_0 = 0))) % 36.25/11.31 | | | | | | % 36.25/11.31 | | | | | | ALPHA: (353) implies: % 36.25/11.31 | | | | | | (354) member(all_30_8, all_20_4) = all_108_3 % 36.25/11.31 | | | | | | (355) member(all_30_8, all_20_4) = all_108_2 % 36.25/11.31 | | | | | | % 36.25/11.31 | | | | | | DELTA: instantiating (328) with fresh symbols all_110_0, all_110_1, % 36.25/11.31 | | | | | | all_110_2, all_110_3 gives: % 36.25/11.31 | | | | | | (356) apply(all_20_1, all_30_7, all_30_8) = all_110_1 & % 36.25/11.31 | | | | | | apply(all_20_2, all_30_7, all_30_8) = all_110_0 & % 36.25/11.31 | | | | | | member(all_30_7, all_20_4) = all_110_3 & member(all_30_8, % 36.25/11.31 | | | | | | all_20_4) = all_110_2 & ( ~ (all_110_2 = 0) | ~ % 36.25/11.31 | | | | | | (all_110_3 = 0) | (( ~ (all_110_0 = 0) | ~ (all_55_1 = % 36.25/11.31 | | | | | | 0) | all_110_1 = 0) & ( ~ (all_110_1 = 0) | % 36.25/11.31 | | | | | | (all_110_0 = 0 & all_55_1 = 0)))) % 36.25/11.31 | | | | | | % 36.25/11.31 | | | | | | ALPHA: (356) implies: % 36.25/11.31 | | | | | | (357) member(all_30_8, all_20_4) = all_110_2 % 36.25/11.31 | | | | | | (358) member(all_30_7, all_20_4) = all_110_3 % 36.25/11.31 | | | | | | (359) apply(all_20_2, all_30_7, all_30_8) = all_110_0 % 36.25/11.31 | | | | | | (360) apply(all_20_1, all_30_7, all_30_8) = all_110_1 % 36.25/11.31 | | | | | | (361) ~ (all_110_2 = 0) | ~ (all_110_3 = 0) | (( ~ (all_110_0 = % 36.25/11.31 | | | | | | 0) | ~ (all_55_1 = 0) | all_110_1 = 0) & ( ~ % 36.25/11.31 | | | | | | (all_110_1 = 0) | (all_110_0 = 0 & all_55_1 = 0))) % 36.25/11.31 | | | | | | % 36.25/11.31 | | | | | | DELTA: instantiating (332) with fresh symbols all_112_0, all_112_1, % 36.25/11.31 | | | | | | all_112_2, all_112_3 gives: % 36.25/11.31 | | | | | | (362) apply(all_20_1, all_30_7, all_30_8) = all_112_1 & % 36.25/11.31 | | | | | | apply(all_20_3, all_30_7, all_30_8) = all_112_0 & % 36.25/11.31 | | | | | | member(all_30_7, all_20_4) = all_112_3 & member(all_30_8, % 36.25/11.31 | | | | | | all_20_4) = all_112_2 & ( ~ (all_112_2 = 0) | ~ % 36.25/11.31 | | | | | | (all_112_3 = 0) | (( ~ (all_112_0 = 0) | ~ (all_45_1 = % 36.25/11.31 | | | | | | 0) | all_112_1 = 0) & ( ~ (all_112_1 = 0) | % 36.25/11.31 | | | | | | (all_112_0 = 0 & all_45_1 = 0)))) % 36.25/11.31 | | | | | | % 36.25/11.31 | | | | | | ALPHA: (362) implies: % 36.25/11.31 | | | | | | (363) member(all_30_8, all_20_4) = all_112_2 % 36.25/11.31 | | | | | | (364) member(all_30_7, all_20_4) = all_112_3 % 36.25/11.31 | | | | | | (365) apply(all_20_3, all_30_7, all_30_8) = all_112_0 % 36.25/11.31 | | | | | | (366) apply(all_20_1, all_30_7, all_30_8) = all_112_1 % 36.25/11.31 | | | | | | % 36.25/11.31 | | | | | | GROUND_INST: instantiating (5) with 0, all_108_3, all_20_4, % 36.25/11.31 | | | | | | all_30_8, simplifying with (77), (354) gives: % 36.60/11.31 | | | | | | (367) all_108_3 = 0 % 36.60/11.31 | | | | | | % 36.60/11.31 | | | | | | GROUND_INST: instantiating (5) with all_108_3, all_108_2, all_20_4, % 36.60/11.31 | | | | | | all_30_8, simplifying with (354), (355) gives: % 36.60/11.31 | | | | | | (368) all_108_2 = all_108_3 % 36.60/11.31 | | | | | | % 36.60/11.31 | | | | | | GROUND_INST: instantiating (5) with all_106_2, all_108_2, all_20_4, % 36.60/11.31 | | | | | | all_30_8, simplifying with (352), (355) gives: % 36.60/11.31 | | | | | | (369) all_108_2 = all_106_2 % 36.60/11.31 | | | | | | % 36.60/11.31 | | | | | | GROUND_INST: instantiating (5) with all_100_2, all_108_2, all_20_4, % 36.60/11.31 | | | | | | all_30_8, simplifying with (340), (355) gives: % 36.60/11.31 | | | | | | (370) all_108_2 = all_100_2 % 36.60/11.31 | | | | | | % 36.60/11.31 | | | | | | GROUND_INST: instantiating (5) with all_98_2, all_110_2, all_20_4, % 36.60/11.31 | | | | | | all_30_8, simplifying with (335), (357) gives: % 36.60/11.31 | | | | | | (371) all_110_2 = all_98_2 % 36.60/11.31 | | | | | | % 36.60/11.31 | | | | | | GROUND_INST: instantiating (5) with all_110_2, all_112_2, all_20_4, % 36.60/11.31 | | | | | | all_30_8, simplifying with (357), (363) gives: % 36.60/11.31 | | | | | | (372) all_112_2 = all_110_2 % 36.60/11.31 | | | | | | % 36.60/11.31 | | | | | | GROUND_INST: instantiating (5) with all_106_3, all_112_2, all_20_4, % 36.60/11.31 | | | | | | all_30_8, simplifying with (351), (363) gives: % 36.60/11.31 | | | | | | (373) all_112_2 = all_106_3 % 36.60/11.31 | | | | | | % 36.60/11.31 | | | | | | GROUND_INST: instantiating (5) with all_100_2, all_112_2, all_20_4, % 36.60/11.31 | | | | | | all_30_8, simplifying with (340), (363) gives: % 36.60/11.31 | | | | | | (374) all_112_2 = all_100_2 % 36.60/11.31 | | | | | | % 36.60/11.31 | | | | | | GROUND_INST: instantiating (5) with all_98_1, all_100_1, all_20_4, % 36.60/11.31 | | | | | | all_30_7, simplifying with (336), (341) gives: % 36.60/11.31 | | | | | | (375) all_100_1 = all_98_1 % 36.60/11.31 | | | | | | % 36.60/11.31 | | | | | | GROUND_INST: instantiating (5) with all_104_3, all_104_2, all_20_4, % 36.60/11.31 | | | | | | all_30_7, simplifying with (348), (349) gives: % 36.60/11.31 | | | | | | (376) all_104_2 = all_104_3 % 36.60/11.31 | | | | | | % 36.60/11.31 | | | | | | GROUND_INST: instantiating (5) with all_104_2, all_110_3, all_20_4, % 37.07/11.33 | | | | | | all_30_7, simplifying with (349), (358) gives: % 37.07/11.33 | | | | | | (377) all_110_3 = all_104_2 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | GROUND_INST: instantiating (5) with all_102_3, all_110_3, all_20_4, % 37.07/11.33 | | | | | | all_30_7, simplifying with (345), (358) gives: % 37.07/11.33 | | | | | | (378) all_110_3 = all_102_3 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | GROUND_INST: instantiating (5) with 0, all_112_3, all_20_4, % 37.07/11.33 | | | | | | all_30_7, simplifying with (78), (364) gives: % 37.07/11.33 | | | | | | (379) all_112_3 = 0 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | GROUND_INST: instantiating (5) with all_104_3, all_112_3, all_20_4, % 37.07/11.33 | | | | | | all_30_7, simplifying with (348), (364) gives: % 37.07/11.33 | | | | | | (380) all_112_3 = all_104_3 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | GROUND_INST: instantiating (5) with all_102_2, all_112_3, all_20_4, % 37.07/11.33 | | | | | | all_30_7, simplifying with (346), (364) gives: % 37.07/11.33 | | | | | | (381) all_112_3 = all_102_2 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | GROUND_INST: instantiating (5) with all_100_1, all_112_3, all_20_4, % 37.07/11.33 | | | | | | all_30_7, simplifying with (341), (364) gives: % 37.07/11.33 | | | | | | (382) all_112_3 = all_100_1 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | GROUND_INST: instantiating (6) with all_55_1, all_112_0, all_30_8, % 37.07/11.33 | | | | | | all_30_7, all_20_3, simplifying with (126), (365) % 37.07/11.33 | | | | | | gives: % 37.07/11.33 | | | | | | (383) all_112_0 = all_55_1 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | GROUND_INST: instantiating (6) with all_100_0, all_112_0, all_30_8, % 37.07/11.33 | | | | | | all_30_7, all_20_3, simplifying with (342), (365) % 37.07/11.33 | | | | | | gives: % 37.07/11.33 | | | | | | (384) all_112_0 = all_100_0 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | GROUND_INST: instantiating (6) with all_45_1, all_110_0, all_30_8, % 37.07/11.33 | | | | | | all_30_7, all_20_2, simplifying with (104), (359) % 37.07/11.33 | | | | | | gives: % 37.07/11.33 | | | | | | (385) all_110_0 = all_45_1 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | GROUND_INST: instantiating (6) with all_98_0, all_110_0, all_30_8, % 37.07/11.33 | | | | | | all_30_7, all_20_2, simplifying with (337), (359) % 37.07/11.33 | | | | | | gives: % 37.07/11.33 | | | | | | (386) all_110_0 = all_98_0 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | GROUND_INST: instantiating (6) with all_30_3, all_112_1, all_30_8, % 37.07/11.33 | | | | | | all_30_7, all_20_1, simplifying with (80), (366) gives: % 37.07/11.33 | | | | | | (387) all_112_1 = all_30_3 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | GROUND_INST: instantiating (6) with all_110_1, all_112_1, all_30_8, % 37.07/11.33 | | | | | | all_30_7, all_20_1, simplifying with (360), (366) % 37.07/11.33 | | | | | | gives: % 37.07/11.33 | | | | | | (388) all_112_1 = all_110_1 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | COMBINE_EQS: (383), (384) imply: % 37.07/11.33 | | | | | | (389) all_100_0 = all_55_1 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | COMBINE_EQS: (387), (388) imply: % 37.07/11.33 | | | | | | (390) all_110_1 = all_30_3 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | COMBINE_EQS: (373), (374) imply: % 37.07/11.33 | | | | | | (391) all_106_3 = all_100_2 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | COMBINE_EQS: (372), (373) imply: % 37.07/11.33 | | | | | | (392) all_110_2 = all_106_3 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | SIMP: (392) implies: % 37.07/11.33 | | | | | | (393) all_110_2 = all_106_3 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | COMBINE_EQS: (381), (382) imply: % 37.07/11.33 | | | | | | (394) all_102_2 = all_100_1 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | COMBINE_EQS: (380), (381) imply: % 37.07/11.33 | | | | | | (395) all_104_3 = all_102_2 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | SIMP: (395) implies: % 37.07/11.33 | | | | | | (396) all_104_3 = all_102_2 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | COMBINE_EQS: (379), (381) imply: % 37.07/11.33 | | | | | | (397) all_102_2 = 0 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | COMBINE_EQS: (385), (386) imply: % 37.07/11.33 | | | | | | (398) all_98_0 = all_45_1 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | SIMP: (398) implies: % 37.07/11.33 | | | | | | (399) all_98_0 = all_45_1 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | COMBINE_EQS: (371), (393) imply: % 37.07/11.33 | | | | | | (400) all_106_3 = all_98_2 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | SIMP: (400) implies: % 37.07/11.33 | | | | | | (401) all_106_3 = all_98_2 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | COMBINE_EQS: (377), (378) imply: % 37.07/11.33 | | | | | | (402) all_104_2 = all_102_3 % 37.07/11.33 | | | | | | % 37.07/11.33 | | | | | | SIMP: (402) implies: % 37.07/11.33 | | | | | | (403) all_104_2 = all_102_3 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (368), (369) imply: % 37.07/11.34 | | | | | | (404) all_108_3 = all_106_2 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | SIMP: (404) implies: % 37.07/11.34 | | | | | | (405) all_108_3 = all_106_2 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (369), (370) imply: % 37.07/11.34 | | | | | | (406) all_106_2 = all_100_2 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (367), (405) imply: % 37.07/11.34 | | | | | | (407) all_106_2 = 0 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | SIMP: (407) implies: % 37.07/11.34 | | | | | | (408) all_106_2 = 0 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (406), (408) imply: % 37.07/11.34 | | | | | | (409) all_100_2 = 0 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | SIMP: (409) implies: % 37.07/11.34 | | | | | | (410) all_100_2 = 0 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (391), (401) imply: % 37.07/11.34 | | | | | | (411) all_100_2 = all_98_2 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | SIMP: (411) implies: % 37.07/11.34 | | | | | | (412) all_100_2 = all_98_2 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (376), (403) imply: % 37.07/11.34 | | | | | | (413) all_104_3 = all_102_3 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | SIMP: (413) implies: % 37.07/11.34 | | | | | | (414) all_104_3 = all_102_3 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (396), (414) imply: % 37.07/11.34 | | | | | | (415) all_102_2 = all_102_3 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | SIMP: (415) implies: % 37.07/11.34 | | | | | | (416) all_102_2 = all_102_3 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (397), (416) imply: % 37.07/11.34 | | | | | | (417) all_102_3 = 0 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (394), (416) imply: % 37.07/11.34 | | | | | | (418) all_102_3 = all_100_1 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (417), (418) imply: % 37.07/11.34 | | | | | | (419) all_100_1 = 0 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | SIMP: (419) implies: % 37.07/11.34 | | | | | | (420) all_100_1 = 0 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (375), (420) imply: % 37.07/11.34 | | | | | | (421) all_98_1 = 0 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (410), (412) imply: % 37.07/11.34 | | | | | | (422) all_98_2 = 0 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | SIMP: (422) implies: % 37.07/11.34 | | | | | | (423) all_98_2 = 0 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (378), (417) imply: % 37.07/11.34 | | | | | | (424) all_110_3 = 0 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | COMBINE_EQS: (371), (423) imply: % 37.07/11.34 | | | | | | (425) all_110_2 = 0 % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | BETA: splitting (338) gives: % 37.07/11.34 | | | | | | % 37.07/11.34 | | | | | | Case 1: % 37.07/11.34 | | | | | | | % 37.07/11.34 | | | | | | | (426) ~ (all_98_1 = 0) % 37.07/11.34 | | | | | | | % 37.07/11.34 | | | | | | | REDUCE: (421), (426) imply: % 37.07/11.34 | | | | | | | (427) $false % 37.07/11.34 | | | | | | | % 37.07/11.34 | | | | | | | CLOSE: (427) is inconsistent. % 37.07/11.34 | | | | | | | % 37.07/11.34 | | | | | | Case 2: % 37.07/11.34 | | | | | | | % 37.07/11.34 | | | | | | | (428) ~ (all_98_2 = 0) | all_98_0 = 0 % 37.07/11.34 | | | | | | | % 37.07/11.34 | | | | | | | BETA: splitting (343) gives: % 37.07/11.34 | | | | | | | % 37.07/11.34 | | | | | | | Case 1: % 37.07/11.34 | | | | | | | | % 37.07/11.34 | | | | | | | | (429) ~ (all_100_1 = 0) % 37.07/11.34 | | | | | | | | % 37.07/11.34 | | | | | | | | REDUCE: (420), (429) imply: % 37.07/11.34 | | | | | | | | (430) $false % 37.07/11.34 | | | | | | | | % 37.07/11.34 | | | | | | | | CLOSE: (430) is inconsistent. % 37.07/11.34 | | | | | | | | % 37.07/11.34 | | | | | | | Case 2: % 37.07/11.34 | | | | | | | | % 37.07/11.34 | | | | | | | | (431) ~ (all_100_2 = 0) | all_100_0 = 0 % 37.07/11.34 | | | | | | | | % 37.07/11.34 | | | | | | | | BETA: splitting (431) gives: % 37.07/11.34 | | | | | | | | % 37.07/11.34 | | | | | | | | Case 1: % 37.07/11.34 | | | | | | | | | % 37.07/11.34 | | | | | | | | | (432) ~ (all_100_2 = 0) % 37.07/11.34 | | | | | | | | | % 37.07/11.34 | | | | | | | | | REDUCE: (410), (432) imply: % 37.07/11.34 | | | | | | | | | (433) $false % 37.07/11.34 | | | | | | | | | % 37.07/11.34 | | | | | | | | | CLOSE: (433) is inconsistent. % 37.07/11.34 | | | | | | | | | % 37.07/11.34 | | | | | | | | Case 2: % 37.07/11.34 | | | | | | | | | % 37.07/11.34 | | | | | | | | | (434) all_100_0 = 0 % 37.07/11.34 | | | | | | | | | % 37.07/11.34 | | | | | | | | | COMBINE_EQS: (389), (434) imply: % 37.07/11.34 | | | | | | | | | (435) all_55_1 = 0 % 37.07/11.34 | | | | | | | | | % 37.07/11.34 | | | | | | | | | SIMP: (435) implies: % 37.07/11.34 | | | | | | | | | (436) all_55_1 = 0 % 37.07/11.34 | | | | | | | | | % 37.07/11.34 | | | | | | | | | BETA: splitting (428) gives: % 37.07/11.34 | | | | | | | | | % 37.07/11.34 | | | | | | | | | Case 1: % 37.07/11.34 | | | | | | | | | | % 37.07/11.34 | | | | | | | | | | (437) ~ (all_98_2 = 0) % 37.07/11.34 | | | | | | | | | | % 37.07/11.34 | | | | | | | | | | REDUCE: (423), (437) imply: % 37.07/11.34 | | | | | | | | | | (438) $false % 37.07/11.34 | | | | | | | | | | % 37.07/11.34 | | | | | | | | | | CLOSE: (438) is inconsistent. % 37.07/11.34 | | | | | | | | | | % 37.07/11.34 | | | | | | | | | Case 2: % 37.07/11.34 | | | | | | | | | | % 37.07/11.34 | | | | | | | | | | (439) all_98_0 = 0 % 37.17/11.36 | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | COMBINE_EQS: (399), (439) imply: % 37.17/11.36 | | | | | | | | | | (440) all_45_1 = 0 % 37.17/11.36 | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | SIMP: (440) implies: % 37.17/11.36 | | | | | | | | | | (441) all_45_1 = 0 % 37.17/11.36 | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | COMBINE_EQS: (385), (441) imply: % 37.17/11.36 | | | | | | | | | | (442) all_110_0 = 0 % 37.17/11.36 | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | BETA: splitting (361) gives: % 37.17/11.36 | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | Case 1: % 37.17/11.36 | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | (443) ~ (all_110_2 = 0) % 37.17/11.36 | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | REDUCE: (425), (443) imply: % 37.17/11.36 | | | | | | | | | | | (444) $false % 37.17/11.36 | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | CLOSE: (444) is inconsistent. % 37.17/11.36 | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | Case 2: % 37.17/11.36 | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | (445) ~ (all_110_3 = 0) | (( ~ (all_110_0 = 0) | ~ % 37.17/11.36 | | | | | | | | | | | (all_55_1 = 0) | all_110_1 = 0) & ( ~ % 37.17/11.36 | | | | | | | | | | | (all_110_1 = 0) | (all_110_0 = 0 & all_55_1 = % 37.17/11.36 | | | | | | | | | | | 0))) % 37.17/11.36 | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | BETA: splitting (445) gives: % 37.17/11.36 | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | Case 1: % 37.17/11.36 | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | (446) ~ (all_110_3 = 0) % 37.17/11.36 | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | REDUCE: (424), (446) imply: % 37.17/11.36 | | | | | | | | | | | | (447) $false % 37.17/11.36 | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | CLOSE: (447) is inconsistent. % 37.17/11.36 | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | Case 2: % 37.17/11.36 | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | (448) ( ~ (all_110_0 = 0) | ~ (all_55_1 = 0) | % 37.17/11.36 | | | | | | | | | | | | all_110_1 = 0) & ( ~ (all_110_1 = 0) | % 37.17/11.36 | | | | | | | | | | | | (all_110_0 = 0 & all_55_1 = 0)) % 37.17/11.36 | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | ALPHA: (448) implies: % 37.17/11.36 | | | | | | | | | | | | (449) ~ (all_110_0 = 0) | ~ (all_55_1 = 0) | all_110_1 % 37.17/11.36 | | | | | | | | | | | | = 0 % 37.17/11.36 | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | BETA: splitting (449) gives: % 37.17/11.36 | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | Case 1: % 37.17/11.36 | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | (450) ~ (all_110_0 = 0) % 37.17/11.36 | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | REDUCE: (442), (450) imply: % 37.17/11.36 | | | | | | | | | | | | | (451) $false % 37.17/11.36 | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | CLOSE: (451) is inconsistent. % 37.17/11.36 | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | Case 2: % 37.17/11.36 | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | (452) ~ (all_55_1 = 0) | all_110_1 = 0 % 37.17/11.36 | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | BETA: splitting (452) gives: % 37.17/11.36 | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | Case 1: % 37.17/11.36 | | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | | (453) ~ (all_55_1 = 0) % 37.17/11.36 | | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | | REDUCE: (436), (453) imply: % 37.17/11.36 | | | | | | | | | | | | | | (454) $false % 37.17/11.36 | | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | | CLOSE: (454) is inconsistent. % 37.17/11.36 | | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | Case 2: % 37.17/11.36 | | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | | (455) all_110_1 = 0 % 37.17/11.36 | | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | | COMBINE_EQS: (390), (455) imply: % 37.17/11.36 | | | | | | | | | | | | | | (456) all_30_3 = 0 % 37.17/11.36 | | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | | SIMP: (456) implies: % 37.17/11.36 | | | | | | | | | | | | | | (457) all_30_3 = 0 % 37.17/11.36 | | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | | REDUCE: (76), (457) imply: % 37.17/11.36 | | | | | | | | | | | | | | (458) $false % 37.17/11.36 | | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | | CLOSE: (458) is inconsistent. % 37.17/11.36 | | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | | End of split % 37.17/11.36 | | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | | End of split % 37.17/11.36 | | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | | End of split % 37.17/11.36 | | | | | | | | | | | % 37.17/11.36 | | | | | | | | | | End of split % 37.17/11.36 | | | | | | | | | | % 37.17/11.36 | | | | | | | | | End of split % 37.17/11.36 | | | | | | | | | % 37.17/11.36 | | | | | | | | End of split % 37.17/11.36 | | | | | | | | % 37.17/11.36 | | | | | | | End of split % 37.17/11.36 | | | | | | | % 37.17/11.36 | | | | | | End of split % 37.17/11.36 | | | | | | % 37.17/11.37 | | | | | End of split % 37.17/11.37 | | | | | % 37.17/11.37 | | | | End of split % 37.17/11.37 | | | | % 37.17/11.37 | | | Case 2: % 37.17/11.37 | | | | % 37.17/11.37 | | | | (459) all_30_10 = 0 & all_30_11 = 0 & all_30_12 = 0 & all_30_13 = 0 & % 37.17/11.37 | | | | all_30_14 = 0 & ~ (all_30_9 = 0) & apply(all_20_1, all_30_16, % 37.17/11.37 | | | | all_30_15) = 0 & apply(all_20_1, all_30_17, all_30_15) = % 37.17/11.37 | | | | all_30_9 & apply(all_20_1, all_30_17, all_30_16) = 0 & % 37.17/11.37 | | | | member(all_30_15, all_20_4) = 0 & member(all_30_16, all_20_4) = % 37.17/11.37 | | | | 0 & member(all_30_17, all_20_4) = 0 % 37.17/11.37 | | | | % 37.17/11.37 | | | | ALPHA: (459) implies: % 37.17/11.37 | | | | (460) ~ (all_30_9 = 0) % 37.17/11.39 | | | | (461) member(all_30_17, all_20_4) = 0 % 37.17/11.39 | | | | (462) member(all_30_16, all_20_4) = 0 % 37.17/11.39 | | | | (463) member(all_30_15, all_20_4) = 0 % 37.17/11.39 | | | | (464) apply(all_20_1, all_30_17, all_30_16) = 0 % 37.17/11.39 | | | | (465) apply(all_20_1, all_30_17, all_30_15) = all_30_9 % 37.17/11.39 | | | | (466) apply(all_20_1, all_30_16, all_30_15) = 0 % 37.17/11.39 | | | | % 37.17/11.39 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_17, % 37.17/11.39 | | | | all_30_16, all_30_16, simplifying with (9), (11), (14), % 37.17/11.39 | | | | (24), (25), (461), (462) gives: % 37.17/11.39 | | | | (467) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.39 | | | | all_30_16, all_30_16) = v1 & apply(all_20_2, all_30_17, % 37.17/11.39 | | | | all_30_16) = v2 & apply(all_20_2, all_30_17, all_30_16) = % 37.17/11.39 | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.39 | | | | % 37.17/11.39 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_16, % 37.17/11.39 | | | | all_30_17, all_30_16, simplifying with (9), (11), (14), % 37.17/11.39 | | | | (24), (25), (461), (462) gives: % 37.17/11.39 | | | | (468) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.39 | | | | all_30_16, all_30_16) = v2 & apply(all_20_2, all_30_16, % 37.17/11.39 | | | | all_30_17) = v0 & apply(all_20_2, all_30_17, all_30_16) = % 37.17/11.39 | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.39 | | | | % 37.17/11.39 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_17, % 37.17/11.39 | | | | all_30_17, all_30_16, simplifying with (9), (11), (14), % 37.17/11.39 | | | | (24), (25), (461), (462) gives: % 37.17/11.39 | | | | (469) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.39 | | | | all_30_17, all_30_16) = v2 & apply(all_20_2, all_30_17, % 37.17/11.39 | | | | all_30_16) = v1 & apply(all_20_2, all_30_17, all_30_17) = % 37.17/11.39 | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.39 | | | | % 37.17/11.39 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_17, % 37.17/11.39 | | | | all_30_16, all_30_17, simplifying with (9), (11), (14), % 37.17/11.39 | | | | (24), (25), (461), (462) gives: % 37.17/11.39 | | | | (470) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.39 | | | | all_30_16, all_30_17) = v1 & apply(all_20_2, all_30_17, % 37.17/11.39 | | | | all_30_16) = v0 & apply(all_20_2, all_30_17, all_30_17) = % 37.17/11.39 | | | | v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.39 | | | | % 37.17/11.39 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_17, % 37.17/11.39 | | | | all_30_16, all_30_16, simplifying with (9), (10), (13), % 37.17/11.39 | | | | (24), (25), (461), (462) gives: % 37.17/11.39 | | | | (471) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.39 | | | | all_30_16, all_30_16) = v1 & apply(all_20_3, all_30_17, % 37.17/11.39 | | | | all_30_16) = v2 & apply(all_20_3, all_30_17, all_30_16) = % 37.17/11.39 | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.39 | | | | % 37.17/11.39 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_16, % 37.17/11.39 | | | | all_30_17, all_30_16, simplifying with (9), (10), (13), % 37.17/11.39 | | | | (24), (25), (461), (462) gives: % 37.17/11.39 | | | | (472) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.39 | | | | all_30_16, all_30_16) = v2 & apply(all_20_3, all_30_16, % 37.17/11.39 | | | | all_30_17) = v0 & apply(all_20_3, all_30_17, all_30_16) = % 37.17/11.39 | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.39 | | | | % 37.17/11.39 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_17, % 37.17/11.39 | | | | all_30_17, all_30_16, simplifying with (9), (10), (13), % 37.17/11.39 | | | | (24), (25), (461), (462) gives: % 37.17/11.39 | | | | (473) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.39 | | | | all_30_17, all_30_16) = v2 & apply(all_20_3, all_30_17, % 37.17/11.39 | | | | all_30_16) = v1 & apply(all_20_3, all_30_17, all_30_17) = % 37.17/11.39 | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.39 | | | | % 37.17/11.39 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_17, % 37.17/11.39 | | | | all_30_16, all_30_17, simplifying with (9), (10), (13), % 37.17/11.39 | | | | (24), (25), (461), (462) gives: % 37.17/11.39 | | | | (474) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.39 | | | | all_30_16, all_30_17) = v1 & apply(all_20_3, all_30_17, % 37.17/11.39 | | | | all_30_16) = v0 & apply(all_20_3, all_30_17, all_30_17) = % 37.17/11.39 | | | | v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.39 | | | | % 37.17/11.39 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_16, % 37.17/11.39 | | | | all_30_15, all_30_15, simplifying with (9), (11), (14), % 37.17/11.39 | | | | (25), (26), (462), (463) gives: % 37.17/11.39 | | | | (475) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.39 | | | | all_30_15, all_30_15) = v1 & apply(all_20_2, all_30_16, % 37.17/11.39 | | | | all_30_15) = v2 & apply(all_20_2, all_30_16, all_30_15) = % 37.17/11.39 | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.39 | | | | % 37.17/11.39 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_15, % 37.17/11.39 | | | | all_30_16, all_30_15, simplifying with (9), (11), (14), % 37.17/11.39 | | | | (25), (26), (462), (463) gives: % 37.17/11.39 | | | | (476) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.39 | | | | all_30_15, all_30_15) = v2 & apply(all_20_2, all_30_15, % 37.17/11.39 | | | | all_30_16) = v0 & apply(all_20_2, all_30_16, all_30_15) = % 37.17/11.39 | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.39 | | | | % 37.17/11.40 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_17, % 37.17/11.40 | | | | all_30_15, all_30_15, simplifying with (9), (11), (14), % 37.17/11.40 | | | | (24), (26), (461), (463) gives: % 37.17/11.40 | | | | (477) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.40 | | | | all_30_15, all_30_15) = v1 & apply(all_20_2, all_30_17, % 37.17/11.40 | | | | all_30_15) = v2 & apply(all_20_2, all_30_17, all_30_15) = % 37.17/11.40 | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.40 | | | | % 37.17/11.40 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_15, % 37.17/11.40 | | | | all_30_17, all_30_15, simplifying with (9), (11), (14), % 37.17/11.40 | | | | (24), (26), (461), (463) gives: % 37.17/11.40 | | | | (478) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.40 | | | | all_30_15, all_30_15) = v2 & apply(all_20_2, all_30_15, % 37.17/11.40 | | | | all_30_17) = v0 & apply(all_20_2, all_30_17, all_30_15) = % 37.17/11.40 | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.40 | | | | % 37.17/11.40 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_16, % 37.17/11.40 | | | | all_30_15, all_30_16, simplifying with (9), (11), (14), % 37.17/11.40 | | | | (25), (26), (462), (463) gives: % 37.17/11.40 | | | | (479) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.40 | | | | all_30_15, all_30_16) = v1 & apply(all_20_2, all_30_16, % 37.17/11.40 | | | | all_30_15) = v0 & apply(all_20_2, all_30_16, all_30_16) = % 37.17/11.40 | | | | v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.40 | | | | % 37.17/11.40 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_17, % 37.17/11.40 | | | | all_30_16, all_30_15, simplifying with (9), (11), (14), % 37.17/11.40 | | | | (24), (25), (26), (461), (462), (463) gives: % 37.17/11.40 | | | | (480) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.40 | | | | all_30_16, all_30_15) = v1 & apply(all_20_2, all_30_17, % 37.17/11.40 | | | | all_30_15) = v2 & apply(all_20_2, all_30_17, all_30_16) = % 37.17/11.40 | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.40 | | | | % 37.17/11.40 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_17, % 37.17/11.40 | | | | all_30_15, all_30_16, simplifying with (9), (11), (14), % 37.17/11.40 | | | | (24), (25), (26), (461), (462), (463) gives: % 37.17/11.40 | | | | (481) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.40 | | | | all_30_15, all_30_16) = v1 & apply(all_20_2, all_30_17, % 37.17/11.40 | | | | all_30_15) = v0 & apply(all_20_2, all_30_17, all_30_16) = % 37.17/11.40 | | | | v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.40 | | | | % 37.17/11.40 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_15, % 37.17/11.40 | | | | all_30_17, all_30_16, simplifying with (9), (11), (14), % 37.17/11.40 | | | | (24), (25), (26), (461), (462), (463) gives: % 37.17/11.40 | | | | (482) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.40 | | | | all_30_15, all_30_16) = v2 & apply(all_20_2, all_30_15, % 37.17/11.40 | | | | all_30_17) = v0 & apply(all_20_2, all_30_17, all_30_16) = % 37.17/11.40 | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.40 | | | | % 37.17/11.40 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_16, % 37.17/11.40 | | | | all_30_17, all_30_15, simplifying with (9), (11), (14), % 37.17/11.40 | | | | (24), (25), (26), (461), (462), (463) gives: % 37.17/11.40 | | | | (483) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.40 | | | | all_30_16, all_30_15) = v2 & apply(all_20_2, all_30_16, % 37.17/11.40 | | | | all_30_17) = v0 & apply(all_20_2, all_30_17, all_30_15) = % 37.17/11.40 | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.40 | | | | % 37.17/11.40 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_2, all_30_17, % 37.17/11.40 | | | | all_30_17, all_30_15, simplifying with (9), (11), (14), % 37.17/11.40 | | | | (24), (26), (461), (463) gives: % 37.17/11.40 | | | | (484) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_2, % 37.17/11.40 | | | | all_30_17, all_30_15) = v2 & apply(all_20_2, all_30_17, % 37.17/11.40 | | | | all_30_15) = v1 & apply(all_20_2, all_30_17, all_30_17) = % 37.17/11.40 | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.40 | | | | % 37.17/11.40 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_16, % 37.17/11.40 | | | | all_30_15, all_30_15, simplifying with (9), (10), (13), % 37.17/11.40 | | | | (25), (26), (462), (463) gives: % 37.17/11.40 | | | | (485) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.40 | | | | all_30_15, all_30_15) = v1 & apply(all_20_3, all_30_16, % 37.17/11.40 | | | | all_30_15) = v2 & apply(all_20_3, all_30_16, all_30_15) = % 37.17/11.40 | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.40 | | | | % 37.17/11.40 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_17, % 37.17/11.40 | | | | all_30_15, all_30_15, simplifying with (9), (10), (13), % 37.17/11.40 | | | | (24), (26), (461), (463) gives: % 37.17/11.40 | | | | (486) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.40 | | | | all_30_15, all_30_15) = v1 & apply(all_20_3, all_30_17, % 37.17/11.40 | | | | all_30_15) = v2 & apply(all_20_3, all_30_17, all_30_15) = % 37.17/11.40 | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.40 | | | | % 37.17/11.40 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_15, % 37.17/11.40 | | | | all_30_17, all_30_15, simplifying with (9), (10), (13), % 37.17/11.40 | | | | (24), (26), (461), (463) gives: % 37.17/11.41 | | | | (487) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.41 | | | | all_30_15, all_30_15) = v2 & apply(all_20_3, all_30_15, % 37.17/11.41 | | | | all_30_17) = v0 & apply(all_20_3, all_30_17, all_30_15) = % 37.17/11.41 | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.41 | | | | % 37.17/11.41 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_16, % 37.17/11.41 | | | | all_30_15, all_30_16, simplifying with (9), (10), (13), % 37.17/11.41 | | | | (25), (26), (462), (463) gives: % 37.17/11.41 | | | | (488) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.41 | | | | all_30_15, all_30_16) = v1 & apply(all_20_3, all_30_16, % 37.17/11.41 | | | | all_30_15) = v0 & apply(all_20_3, all_30_16, all_30_16) = % 37.17/11.41 | | | | v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.41 | | | | % 37.17/11.41 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_17, % 37.17/11.41 | | | | all_30_16, all_30_15, simplifying with (9), (10), (13), % 37.17/11.41 | | | | (24), (25), (26), (461), (462), (463) gives: % 37.17/11.41 | | | | (489) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.41 | | | | all_30_16, all_30_15) = v1 & apply(all_20_3, all_30_17, % 37.17/11.41 | | | | all_30_15) = v2 & apply(all_20_3, all_30_17, all_30_16) = % 37.17/11.41 | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.41 | | | | % 37.17/11.41 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_17, % 37.17/11.41 | | | | all_30_15, all_30_16, simplifying with (9), (10), (13), % 37.17/11.41 | | | | (24), (25), (26), (461), (462), (463) gives: % 37.17/11.41 | | | | (490) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.41 | | | | all_30_15, all_30_16) = v1 & apply(all_20_3, all_30_17, % 37.17/11.41 | | | | all_30_15) = v0 & apply(all_20_3, all_30_17, all_30_16) = % 37.17/11.41 | | | | v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.41 | | | | % 37.17/11.41 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_15, % 37.17/11.41 | | | | all_30_17, all_30_16, simplifying with (9), (10), (13), % 37.17/11.41 | | | | (24), (25), (26), (461), (462), (463) gives: % 37.17/11.41 | | | | (491) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.41 | | | | all_30_15, all_30_16) = v2 & apply(all_20_3, all_30_15, % 37.17/11.41 | | | | all_30_17) = v0 & apply(all_20_3, all_30_17, all_30_16) = % 37.17/11.41 | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.41 | | | | % 37.17/11.41 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_16, % 37.17/11.41 | | | | all_30_17, all_30_15, simplifying with (9), (10), (13), % 37.17/11.41 | | | | (24), (25), (26), (461), (462), (463) gives: % 37.17/11.41 | | | | (492) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.41 | | | | all_30_16, all_30_15) = v2 & apply(all_20_3, all_30_16, % 37.17/11.41 | | | | all_30_17) = v0 & apply(all_20_3, all_30_17, all_30_15) = % 37.17/11.41 | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.41 | | | | % 37.17/11.41 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_16, % 37.17/11.41 | | | | all_30_15, all_30_17, simplifying with (9), (10), (13), % 37.17/11.41 | | | | (24), (25), (26), (461), (462), (463) gives: % 37.17/11.41 | | | | (493) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.41 | | | | all_30_15, all_30_17) = v1 & apply(all_20_3, all_30_16, % 37.17/11.41 | | | | all_30_15) = v0 & apply(all_20_3, all_30_16, all_30_17) = % 37.17/11.41 | | | | v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.41 | | | | % 37.17/11.41 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_17, % 37.17/11.41 | | | | all_30_17, all_30_15, simplifying with (9), (10), (13), % 37.17/11.41 | | | | (24), (26), (461), (463) gives: % 37.17/11.41 | | | | (494) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.41 | | | | all_30_17, all_30_15) = v2 & apply(all_20_3, all_30_17, % 37.17/11.41 | | | | all_30_15) = v1 & apply(all_20_3, all_30_17, all_30_17) = % 37.17/11.41 | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.41 | | | | % 37.17/11.41 | | | | GROUND_INST: instantiating (4) with all_20_4, all_20_3, all_30_17, % 37.17/11.41 | | | | all_30_15, all_30_17, simplifying with (9), (10), (13), % 37.17/11.41 | | | | (24), (26), (461), (463) gives: % 37.17/11.41 | | | | (495) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_20_3, % 37.17/11.41 | | | | all_30_15, all_30_17) = v1 & apply(all_20_3, all_30_17, % 37.17/11.41 | | | | all_30_15) = v0 & apply(all_20_3, all_30_17, all_30_17) = % 37.17/11.41 | | | | v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 37.17/11.41 | | | | % 37.17/11.41 | | | | GROUND_INST: instantiating (18) with all_30_17, all_30_16, 0, % 37.17/11.41 | | | | simplifying with (24), (25), (464) gives: % 37.17/11.41 | | | | (496) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 37.17/11.41 | | | | (apply(all_20_2, all_30_17, all_30_16) = v3 & apply(all_20_3, % 37.17/11.41 | | | | all_30_17, all_30_16) = v2 & member(all_30_16, all_20_4) = % 37.17/11.41 | | | | v1 & member(all_30_17, all_20_4) = v0 & ( ~ (v1 = 0) | ~ (v0 % 37.17/11.41 | | | | = 0) | (v3 = 0 & v2 = 0))) % 37.17/11.41 | | | | % 37.17/11.41 | | | | GROUND_INST: instantiating (18) with all_30_17, all_30_15, all_30_9, % 37.17/11.41 | | | | simplifying with (24), (26), (465) gives: % 37.17/11.41 | | | | (497) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 37.17/11.41 | | | | (apply(all_20_2, all_30_17, all_30_15) = v3 & apply(all_20_3, % 37.17/11.41 | | | | all_30_17, all_30_15) = v2 & member(all_30_15, all_20_4) = % 37.17/11.42 | | | | v1 & member(all_30_17, all_20_4) = v0 & ( ~ (v1 = 0) | ~ (v0 % 37.17/11.42 | | | | = 0) | (( ~ (v3 = 0) | ~ (v2 = 0) | all_30_9 = 0) & ( ~ % 37.17/11.42 | | | | (all_30_9 = 0) | (v3 = 0 & v2 = 0))))) % 37.17/11.42 | | | | % 37.17/11.42 | | | | GROUND_INST: instantiating (18) with all_30_16, all_30_15, 0, % 37.17/11.42 | | | | simplifying with (25), (26), (466) gives: % 37.17/11.42 | | | | (498) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 37.17/11.42 | | | | (apply(all_20_2, all_30_16, all_30_15) = v3 & apply(all_20_3, % 37.17/11.42 | | | | all_30_16, all_30_15) = v2 & member(all_30_15, all_20_4) = % 37.17/11.42 | | | | v1 & member(all_30_16, all_20_4) = v0 & ( ~ (v1 = 0) | ~ (v0 % 37.17/11.42 | | | | = 0) | (v3 = 0 & v2 = 0))) % 37.17/11.42 | | | | % 37.17/11.42 | | | | DELTA: instantiating (495) with fresh symbols all_49_0, all_49_1, % 37.17/11.42 | | | | all_49_2 gives: % 37.17/11.42 | | | | (499) apply(all_20_3, all_30_15, all_30_17) = all_49_1 & % 37.17/11.42 | | | | apply(all_20_3, all_30_17, all_30_15) = all_49_2 & % 37.17/11.42 | | | | apply(all_20_3, all_30_17, all_30_17) = all_49_0 & ( ~ % 37.17/11.42 | | | | (all_49_1 = 0) | ~ (all_49_2 = 0) | all_49_0 = 0) % 37.17/11.42 | | | | % 37.17/11.42 | | | | ALPHA: (499) implies: % 37.17/11.42 | | | | (500) apply(all_20_3, all_30_17, all_30_15) = all_49_2 % 37.17/11.42 | | | | % 37.17/11.42 | | | | DELTA: instantiating (494) with fresh symbols all_51_0, all_51_1, % 37.17/11.42 | | | | all_51_2 gives: % 37.17/11.42 | | | | (501) apply(all_20_3, all_30_17, all_30_15) = all_51_0 & % 37.17/11.42 | | | | apply(all_20_3, all_30_17, all_30_15) = all_51_1 & % 37.17/11.42 | | | | apply(all_20_3, all_30_17, all_30_17) = all_51_2 & ( ~ % 37.17/11.42 | | | | (all_51_1 = 0) | ~ (all_51_2 = 0) | all_51_0 = 0) % 37.17/11.42 | | | | % 37.17/11.42 | | | | ALPHA: (501) implies: % 37.17/11.42 | | | | (502) apply(all_20_3, all_30_17, all_30_15) = all_51_1 % 37.17/11.42 | | | | (503) apply(all_20_3, all_30_17, all_30_15) = all_51_0 % 37.17/11.42 | | | | % 37.17/11.42 | | | | DELTA: instantiating (482) with fresh symbols all_53_0, all_53_1, % 37.17/11.42 | | | | all_53_2 gives: % 37.17/11.42 | | | | (504) apply(all_20_2, all_30_15, all_30_16) = all_53_0 & % 37.17/11.42 | | | | apply(all_20_2, all_30_15, all_30_17) = all_53_2 & % 37.17/11.42 | | | | apply(all_20_2, all_30_17, all_30_16) = all_53_1 & ( ~ % 37.17/11.42 | | | | (all_53_1 = 0) | ~ (all_53_2 = 0) | all_53_0 = 0) % 37.17/11.42 | | | | % 37.17/11.42 | | | | ALPHA: (504) implies: % 37.17/11.42 | | | | (505) apply(all_20_2, all_30_17, all_30_16) = all_53_1 % 37.17/11.42 | | | | % 37.17/11.42 | | | | DELTA: instantiating (481) with fresh symbols all_55_0, all_55_1, % 37.17/11.42 | | | | all_55_2 gives: % 37.17/11.42 | | | | (506) apply(all_20_2, all_30_15, all_30_16) = all_55_1 & % 37.17/11.42 | | | | apply(all_20_2, all_30_17, all_30_15) = all_55_2 & % 37.17/11.42 | | | | apply(all_20_2, all_30_17, all_30_16) = all_55_0 & ( ~ % 37.17/11.42 | | | | (all_55_1 = 0) | ~ (all_55_2 = 0) | all_55_0 = 0) % 37.17/11.42 | | | | % 37.17/11.42 | | | | ALPHA: (506) implies: % 37.17/11.42 | | | | (507) apply(all_20_2, all_30_17, all_30_16) = all_55_0 % 37.17/11.42 | | | | (508) apply(all_20_2, all_30_17, all_30_15) = all_55_2 % 37.17/11.42 | | | | % 37.17/11.42 | | | | DELTA: instantiating (488) with fresh symbols all_57_0, all_57_1, % 37.17/11.42 | | | | all_57_2 gives: % 37.17/11.42 | | | | (509) apply(all_20_3, all_30_15, all_30_16) = all_57_1 & % 37.17/11.42 | | | | apply(all_20_3, all_30_16, all_30_15) = all_57_2 & % 37.17/11.42 | | | | apply(all_20_3, all_30_16, all_30_16) = all_57_0 & ( ~ % 37.17/11.42 | | | | (all_57_1 = 0) | ~ (all_57_2 = 0) | all_57_0 = 0) % 37.17/11.42 | | | | % 37.17/11.42 | | | | ALPHA: (509) implies: % 37.17/11.42 | | | | (510) apply(all_20_3, all_30_16, all_30_15) = all_57_2 % 37.17/11.42 | | | | % 37.17/11.42 | | | | DELTA: instantiating (487) with fresh symbols all_61_0, all_61_1, % 37.17/11.42 | | | | all_61_2 gives: % 37.17/11.42 | | | | (511) apply(all_20_3, all_30_15, all_30_15) = all_61_0 & % 37.17/11.42 | | | | apply(all_20_3, all_30_15, all_30_17) = all_61_2 & % 37.17/11.42 | | | | apply(all_20_3, all_30_17, all_30_15) = all_61_1 & ( ~ % 37.17/11.42 | | | | (all_61_1 = 0) | ~ (all_61_2 = 0) | all_61_0 = 0) % 37.17/11.42 | | | | % 37.17/11.42 | | | | ALPHA: (511) implies: % 37.17/11.42 | | | | (512) apply(all_20_3, all_30_17, all_30_15) = all_61_1 % 37.17/11.42 | | | | % 37.17/11.42 | | | | DELTA: instantiating (479) with fresh symbols all_65_0, all_65_1, % 37.17/11.42 | | | | all_65_2 gives: % 37.17/11.42 | | | | (513) apply(all_20_2, all_30_15, all_30_16) = all_65_1 & % 37.17/11.42 | | | | apply(all_20_2, all_30_16, all_30_15) = all_65_2 & % 37.17/11.42 | | | | apply(all_20_2, all_30_16, all_30_16) = all_65_0 & ( ~ % 37.17/11.42 | | | | (all_65_1 = 0) | ~ (all_65_2 = 0) | all_65_0 = 0) % 37.17/11.42 | | | | % 37.17/11.42 | | | | ALPHA: (513) implies: % 37.17/11.42 | | | | (514) apply(all_20_2, all_30_16, all_30_15) = all_65_2 % 37.17/11.42 | | | | % 37.17/11.42 | | | | DELTA: instantiating (480) with fresh symbols all_69_0, all_69_1, % 37.17/11.42 | | | | all_69_2 gives: % 37.17/11.42 | | | | (515) apply(all_20_2, all_30_16, all_30_15) = all_69_1 & % 37.17/11.42 | | | | apply(all_20_2, all_30_17, all_30_15) = all_69_0 & % 37.17/11.42 | | | | apply(all_20_2, all_30_17, all_30_16) = all_69_2 & ( ~ % 37.17/11.42 | | | | (all_69_1 = 0) | ~ (all_69_2 = 0) | all_69_0 = 0) % 37.17/11.42 | | | | % 37.17/11.42 | | | | ALPHA: (515) implies: % 37.17/11.42 | | | | (516) apply(all_20_2, all_30_17, all_30_16) = all_69_2 % 37.17/11.42 | | | | (517) apply(all_20_2, all_30_17, all_30_15) = all_69_0 % 37.17/11.42 | | | | (518) apply(all_20_2, all_30_16, all_30_15) = all_69_1 % 37.17/11.42 | | | | (519) ~ (all_69_1 = 0) | ~ (all_69_2 = 0) | all_69_0 = 0 % 37.17/11.42 | | | | % 37.17/11.42 | | | | DELTA: instantiating (474) with fresh symbols all_75_0, all_75_1, % 37.17/11.42 | | | | all_75_2 gives: % 37.17/11.42 | | | | (520) apply(all_20_3, all_30_16, all_30_17) = all_75_1 & % 37.17/11.42 | | | | apply(all_20_3, all_30_17, all_30_16) = all_75_2 & % 37.17/11.42 | | | | apply(all_20_3, all_30_17, all_30_17) = all_75_0 & ( ~ % 37.17/11.42 | | | | (all_75_1 = 0) | ~ (all_75_2 = 0) | all_75_0 = 0) % 37.17/11.42 | | | | % 37.17/11.42 | | | | ALPHA: (520) implies: % 37.17/11.43 | | | | (521) apply(all_20_3, all_30_17, all_30_16) = all_75_2 % 37.17/11.43 | | | | % 37.17/11.43 | | | | DELTA: instantiating (473) with fresh symbols all_77_0, all_77_1, % 37.17/11.43 | | | | all_77_2 gives: % 37.17/11.43 | | | | (522) apply(all_20_3, all_30_17, all_30_16) = all_77_0 & % 37.17/11.43 | | | | apply(all_20_3, all_30_17, all_30_16) = all_77_1 & % 37.17/11.43 | | | | apply(all_20_3, all_30_17, all_30_17) = all_77_2 & ( ~ % 37.17/11.43 | | | | (all_77_1 = 0) | ~ (all_77_2 = 0) | all_77_0 = 0) % 37.17/11.43 | | | | % 37.17/11.43 | | | | ALPHA: (522) implies: % 37.17/11.43 | | | | (523) apply(all_20_3, all_30_17, all_30_16) = all_77_0 % 37.17/11.43 | | | | % 37.17/11.43 | | | | DELTA: instantiating (478) with fresh symbols all_79_0, all_79_1, % 37.17/11.43 | | | | all_79_2 gives: % 37.17/11.43 | | | | (524) apply(all_20_2, all_30_15, all_30_15) = all_79_0 & % 37.17/11.43 | | | | apply(all_20_2, all_30_15, all_30_17) = all_79_2 & % 37.17/11.43 | | | | apply(all_20_2, all_30_17, all_30_15) = all_79_1 & ( ~ % 37.17/11.43 | | | | (all_79_1 = 0) | ~ (all_79_2 = 0) | all_79_0 = 0) % 37.17/11.43 | | | | % 37.17/11.43 | | | | ALPHA: (524) implies: % 37.17/11.43 | | | | (525) apply(all_20_2, all_30_17, all_30_15) = all_79_1 % 37.17/11.43 | | | | % 37.17/11.43 | | | | DELTA: instantiating (484) with fresh symbols all_81_0, all_81_1, % 37.17/11.43 | | | | all_81_2 gives: % 37.17/11.43 | | | | (526) apply(all_20_2, all_30_17, all_30_15) = all_81_0 & % 37.17/11.43 | | | | apply(all_20_2, all_30_17, all_30_15) = all_81_1 & % 37.17/11.43 | | | | apply(all_20_2, all_30_17, all_30_17) = all_81_2 & ( ~ % 37.17/11.43 | | | | (all_81_1 = 0) | ~ (all_81_2 = 0) | all_81_0 = 0) % 37.17/11.43 | | | | % 37.17/11.43 | | | | ALPHA: (526) implies: % 37.17/11.43 | | | | (527) apply(all_20_2, all_30_17, all_30_15) = all_81_1 % 37.17/11.43 | | | | (528) apply(all_20_2, all_30_17, all_30_15) = all_81_0 % 37.17/11.43 | | | | % 37.17/11.43 | | | | DELTA: instantiating (486) with fresh symbols all_85_0, all_85_1, % 37.17/11.43 | | | | all_85_2 gives: % 37.17/11.43 | | | | (529) apply(all_20_3, all_30_15, all_30_15) = all_85_1 & % 37.17/11.43 | | | | apply(all_20_3, all_30_17, all_30_15) = all_85_0 & % 37.42/11.43 | | | | apply(all_20_3, all_30_17, all_30_15) = all_85_2 & ( ~ % 37.42/11.43 | | | | (all_85_1 = 0) | ~ (all_85_2 = 0) | all_85_0 = 0) % 37.42/11.43 | | | | % 37.42/11.43 | | | | ALPHA: (529) implies: % 37.42/11.43 | | | | (530) apply(all_20_3, all_30_17, all_30_15) = all_85_2 % 37.42/11.43 | | | | (531) apply(all_20_3, all_30_17, all_30_15) = all_85_0 % 37.42/11.43 | | | | % 37.42/11.43 | | | | DELTA: instantiating (485) with fresh symbols all_89_0, all_89_1, % 37.42/11.43 | | | | all_89_2 gives: % 37.42/11.43 | | | | (532) apply(all_20_3, all_30_15, all_30_15) = all_89_1 & % 37.42/11.43 | | | | apply(all_20_3, all_30_16, all_30_15) = all_89_0 & % 37.42/11.43 | | | | apply(all_20_3, all_30_16, all_30_15) = all_89_2 & ( ~ % 37.42/11.43 | | | | (all_89_1 = 0) | ~ (all_89_2 = 0) | all_89_0 = 0) % 37.42/11.43 | | | | % 37.42/11.43 | | | | ALPHA: (532) implies: % 37.42/11.43 | | | | (533) apply(all_20_3, all_30_16, all_30_15) = all_89_2 % 37.42/11.43 | | | | (534) apply(all_20_3, all_30_16, all_30_15) = all_89_0 % 37.42/11.43 | | | | % 37.42/11.43 | | | | DELTA: instantiating (493) with fresh symbols all_95_0, all_95_1, % 37.42/11.43 | | | | all_95_2 gives: % 37.42/11.43 | | | | (535) apply(all_20_3, all_30_15, all_30_17) = all_95_1 & % 37.42/11.43 | | | | apply(all_20_3, all_30_16, all_30_15) = all_95_2 & % 37.42/11.43 | | | | apply(all_20_3, all_30_16, all_30_17) = all_95_0 & ( ~ % 37.42/11.43 | | | | (all_95_1 = 0) | ~ (all_95_2 = 0) | all_95_0 = 0) % 37.42/11.43 | | | | % 37.42/11.43 | | | | ALPHA: (535) implies: % 37.42/11.43 | | | | (536) apply(all_20_3, all_30_16, all_30_15) = all_95_2 % 37.42/11.43 | | | | % 37.42/11.43 | | | | DELTA: instantiating (477) with fresh symbols all_101_0, all_101_1, % 37.42/11.43 | | | | all_101_2 gives: % 37.42/11.43 | | | | (537) apply(all_20_2, all_30_15, all_30_15) = all_101_1 & % 37.42/11.43 | | | | apply(all_20_2, all_30_17, all_30_15) = all_101_0 & % 37.42/11.43 | | | | apply(all_20_2, all_30_17, all_30_15) = all_101_2 & ( ~ % 37.42/11.43 | | | | (all_101_1 = 0) | ~ (all_101_2 = 0) | all_101_0 = 0) % 37.42/11.43 | | | | % 37.42/11.43 | | | | ALPHA: (537) implies: % 37.42/11.43 | | | | (538) apply(all_20_2, all_30_17, all_30_15) = all_101_2 % 37.42/11.43 | | | | (539) apply(all_20_2, all_30_17, all_30_15) = all_101_0 % 37.42/11.43 | | | | % 37.42/11.43 | | | | DELTA: instantiating (475) with fresh symbols all_103_0, all_103_1, % 37.42/11.43 | | | | all_103_2 gives: % 37.42/11.43 | | | | (540) apply(all_20_2, all_30_15, all_30_15) = all_103_1 & % 37.42/11.43 | | | | apply(all_20_2, all_30_16, all_30_15) = all_103_0 & % 37.42/11.43 | | | | apply(all_20_2, all_30_16, all_30_15) = all_103_2 & ( ~ % 37.42/11.43 | | | | (all_103_1 = 0) | ~ (all_103_2 = 0) | all_103_0 = 0) % 37.42/11.43 | | | | % 37.42/11.43 | | | | ALPHA: (540) implies: % 37.42/11.43 | | | | (541) apply(all_20_2, all_30_16, all_30_15) = all_103_2 % 37.42/11.43 | | | | % 37.42/11.43 | | | | DELTA: instantiating (472) with fresh symbols all_107_0, all_107_1, % 37.42/11.43 | | | | all_107_2 gives: % 37.42/11.43 | | | | (542) apply(all_20_3, all_30_16, all_30_16) = all_107_0 & % 37.42/11.43 | | | | apply(all_20_3, all_30_16, all_30_17) = all_107_2 & % 37.42/11.43 | | | | apply(all_20_3, all_30_17, all_30_16) = all_107_1 & ( ~ % 37.42/11.43 | | | | (all_107_1 = 0) | ~ (all_107_2 = 0) | all_107_0 = 0) % 37.42/11.43 | | | | % 37.42/11.43 | | | | ALPHA: (542) implies: % 37.42/11.43 | | | | (543) apply(all_20_3, all_30_17, all_30_16) = all_107_1 % 37.42/11.43 | | | | % 37.42/11.43 | | | | DELTA: instantiating (471) with fresh symbols all_109_0, all_109_1, % 37.42/11.43 | | | | all_109_2 gives: % 37.42/11.43 | | | | (544) apply(all_20_3, all_30_16, all_30_16) = all_109_1 & % 37.42/11.43 | | | | apply(all_20_3, all_30_17, all_30_16) = all_109_0 & % 37.42/11.43 | | | | apply(all_20_3, all_30_17, all_30_16) = all_109_2 & ( ~ % 37.42/11.43 | | | | (all_109_1 = 0) | ~ (all_109_2 = 0) | all_109_0 = 0) % 37.42/11.43 | | | | % 37.42/11.43 | | | | ALPHA: (544) implies: % 37.42/11.43 | | | | (545) apply(all_20_3, all_30_17, all_30_16) = all_109_2 % 37.42/11.43 | | | | (546) apply(all_20_3, all_30_17, all_30_16) = all_109_0 % 37.42/11.43 | | | | % 37.42/11.43 | | | | DELTA: instantiating (476) with fresh symbols all_111_0, all_111_1, % 37.42/11.43 | | | | all_111_2 gives: % 37.42/11.43 | | | | (547) apply(all_20_2, all_30_15, all_30_15) = all_111_0 & % 37.42/11.43 | | | | apply(all_20_2, all_30_15, all_30_16) = all_111_2 & % 37.42/11.43 | | | | apply(all_20_2, all_30_16, all_30_15) = all_111_1 & ( ~ % 37.42/11.43 | | | | (all_111_1 = 0) | ~ (all_111_2 = 0) | all_111_0 = 0) % 37.42/11.43 | | | | % 37.42/11.43 | | | | ALPHA: (547) implies: % 37.42/11.43 | | | | (548) apply(all_20_2, all_30_16, all_30_15) = all_111_1 % 37.42/11.43 | | | | % 37.42/11.43 | | | | DELTA: instantiating (470) with fresh symbols all_115_0, all_115_1, % 37.42/11.44 | | | | all_115_2 gives: % 37.42/11.44 | | | | (549) apply(all_20_2, all_30_16, all_30_17) = all_115_1 & % 37.42/11.44 | | | | apply(all_20_2, all_30_17, all_30_16) = all_115_2 & % 37.42/11.44 | | | | apply(all_20_2, all_30_17, all_30_17) = all_115_0 & ( ~ % 37.42/11.44 | | | | (all_115_1 = 0) | ~ (all_115_2 = 0) | all_115_0 = 0) % 37.42/11.44 | | | | % 37.42/11.44 | | | | ALPHA: (549) implies: % 37.42/11.44 | | | | (550) apply(all_20_2, all_30_17, all_30_16) = all_115_2 % 37.42/11.44 | | | | % 37.42/11.44 | | | | DELTA: instantiating (469) with fresh symbols all_117_0, all_117_1, % 37.42/11.44 | | | | all_117_2 gives: % 37.42/11.44 | | | | (551) apply(all_20_2, all_30_17, all_30_16) = all_117_0 & % 37.42/11.44 | | | | apply(all_20_2, all_30_17, all_30_16) = all_117_1 & % 37.42/11.44 | | | | apply(all_20_2, all_30_17, all_30_17) = all_117_2 & ( ~ % 37.42/11.44 | | | | (all_117_1 = 0) | ~ (all_117_2 = 0) | all_117_0 = 0) % 37.42/11.44 | | | | % 37.42/11.44 | | | | ALPHA: (551) implies: % 37.42/11.44 | | | | (552) apply(all_20_2, all_30_17, all_30_16) = all_117_1 % 37.42/11.44 | | | | (553) apply(all_20_2, all_30_17, all_30_16) = all_117_0 % 37.42/11.44 | | | | % 37.42/11.44 | | | | DELTA: instantiating (468) with fresh symbols all_127_0, all_127_1, % 37.42/11.44 | | | | all_127_2 gives: % 37.42/11.44 | | | | (554) apply(all_20_2, all_30_16, all_30_16) = all_127_0 & % 37.42/11.44 | | | | apply(all_20_2, all_30_16, all_30_17) = all_127_2 & % 37.42/11.44 | | | | apply(all_20_2, all_30_17, all_30_16) = all_127_1 & ( ~ % 37.42/11.44 | | | | (all_127_1 = 0) | ~ (all_127_2 = 0) | all_127_0 = 0) % 37.42/11.44 | | | | % 37.42/11.44 | | | | ALPHA: (554) implies: % 37.42/11.44 | | | | (555) apply(all_20_2, all_30_17, all_30_16) = all_127_1 % 37.42/11.44 | | | | % 37.42/11.44 | | | | DELTA: instantiating (467) with fresh symbols all_131_0, all_131_1, % 37.42/11.44 | | | | all_131_2 gives: % 37.42/11.44 | | | | (556) apply(all_20_2, all_30_16, all_30_16) = all_131_1 & % 37.42/11.44 | | | | apply(all_20_2, all_30_17, all_30_16) = all_131_0 & % 37.42/11.44 | | | | apply(all_20_2, all_30_17, all_30_16) = all_131_2 & ( ~ % 37.42/11.44 | | | | (all_131_1 = 0) | ~ (all_131_2 = 0) | all_131_0 = 0) % 37.42/11.44 | | | | % 37.42/11.44 | | | | ALPHA: (556) implies: % 37.42/11.44 | | | | (557) apply(all_20_2, all_30_17, all_30_16) = all_131_2 % 37.42/11.44 | | | | (558) apply(all_20_2, all_30_17, all_30_16) = all_131_0 % 37.42/11.44 | | | | % 37.42/11.44 | | | | DELTA: instantiating (483) with fresh symbols all_137_0, all_137_1, % 37.42/11.44 | | | | all_137_2 gives: % 37.42/11.44 | | | | (559) apply(all_20_2, all_30_16, all_30_15) = all_137_0 & % 37.42/11.44 | | | | apply(all_20_2, all_30_16, all_30_17) = all_137_2 & % 37.42/11.44 | | | | apply(all_20_2, all_30_17, all_30_15) = all_137_1 & ( ~ % 37.42/11.44 | | | | (all_137_1 = 0) | ~ (all_137_2 = 0) | all_137_0 = 0) % 37.42/11.44 | | | | % 37.42/11.44 | | | | ALPHA: (559) implies: % 37.42/11.44 | | | | (560) apply(all_20_2, all_30_16, all_30_15) = all_137_0 % 37.42/11.44 | | | | % 37.42/11.44 | | | | DELTA: instantiating (491) with fresh symbols all_141_0, all_141_1, % 37.42/11.44 | | | | all_141_2 gives: % 37.42/11.44 | | | | (561) apply(all_20_3, all_30_15, all_30_16) = all_141_0 & % 37.42/11.44 | | | | apply(all_20_3, all_30_15, all_30_17) = all_141_2 & % 37.42/11.44 | | | | apply(all_20_3, all_30_17, all_30_16) = all_141_1 & ( ~ % 37.42/11.44 | | | | (all_141_1 = 0) | ~ (all_141_2 = 0) | all_141_0 = 0) % 37.42/11.44 | | | | % 37.42/11.44 | | | | ALPHA: (561) implies: % 37.42/11.44 | | | | (562) apply(all_20_3, all_30_17, all_30_16) = all_141_1 % 37.42/11.44 | | | | % 37.42/11.44 | | | | DELTA: instantiating (490) with fresh symbols all_143_0, all_143_1, % 37.42/11.44 | | | | all_143_2 gives: % 37.42/11.44 | | | | (563) apply(all_20_3, all_30_15, all_30_16) = all_143_1 & % 37.42/11.44 | | | | apply(all_20_3, all_30_17, all_30_15) = all_143_2 & % 37.42/11.44 | | | | apply(all_20_3, all_30_17, all_30_16) = all_143_0 & ( ~ % 37.42/11.44 | | | | (all_143_1 = 0) | ~ (all_143_2 = 0) | all_143_0 = 0) % 37.42/11.44 | | | | % 37.42/11.44 | | | | ALPHA: (563) implies: % 37.42/11.44 | | | | (564) apply(all_20_3, all_30_17, all_30_16) = all_143_0 % 37.42/11.44 | | | | (565) apply(all_20_3, all_30_17, all_30_15) = all_143_2 % 37.42/11.44 | | | | % 37.42/11.44 | | | | DELTA: instantiating (492) with fresh symbols all_145_0, all_145_1, % 37.42/11.44 | | | | all_145_2 gives: % 37.42/11.44 | | | | (566) apply(all_20_3, all_30_16, all_30_15) = all_145_0 & % 37.42/11.44 | | | | apply(all_20_3, all_30_16, all_30_17) = all_145_2 & % 37.42/11.44 | | | | apply(all_20_3, all_30_17, all_30_15) = all_145_1 & ( ~ % 37.42/11.44 | | | | (all_145_1 = 0) | ~ (all_145_2 = 0) | all_145_0 = 0) % 37.42/11.44 | | | | % 37.42/11.44 | | | | ALPHA: (566) implies: % 37.42/11.44 | | | | (567) apply(all_20_3, all_30_17, all_30_15) = all_145_1 % 37.42/11.44 | | | | (568) apply(all_20_3, all_30_16, all_30_15) = all_145_0 % 37.42/11.44 | | | | % 37.42/11.44 | | | | DELTA: instantiating (489) with fresh symbols all_149_0, all_149_1, % 37.42/11.44 | | | | all_149_2 gives: % 37.42/11.44 | | | | (569) apply(all_20_3, all_30_16, all_30_15) = all_149_1 & % 37.42/11.44 | | | | apply(all_20_3, all_30_17, all_30_15) = all_149_0 & % 37.42/11.44 | | | | apply(all_20_3, all_30_17, all_30_16) = all_149_2 & ( ~ % 37.42/11.44 | | | | (all_149_1 = 0) | ~ (all_149_2 = 0) | all_149_0 = 0) % 37.42/11.44 | | | | % 37.42/11.44 | | | | ALPHA: (569) implies: % 37.42/11.44 | | | | (570) apply(all_20_3, all_30_17, all_30_16) = all_149_2 % 37.42/11.44 | | | | (571) apply(all_20_3, all_30_17, all_30_15) = all_149_0 % 37.42/11.44 | | | | (572) apply(all_20_3, all_30_16, all_30_15) = all_149_1 % 37.42/11.44 | | | | (573) ~ (all_149_1 = 0) | ~ (all_149_2 = 0) | all_149_0 = 0 % 37.42/11.44 | | | | % 37.42/11.44 | | | | DELTA: instantiating (498) with fresh symbols all_153_0, all_153_1, % 37.42/11.44 | | | | all_153_2, all_153_3 gives: % 37.42/11.44 | | | | (574) apply(all_20_2, all_30_16, all_30_15) = all_153_0 & % 37.42/11.44 | | | | apply(all_20_3, all_30_16, all_30_15) = all_153_1 & % 37.42/11.44 | | | | member(all_30_15, all_20_4) = all_153_2 & member(all_30_16, % 37.42/11.44 | | | | all_20_4) = all_153_3 & ( ~ (all_153_2 = 0) | ~ (all_153_3 = % 37.42/11.44 | | | | 0) | (all_153_0 = 0 & all_153_1 = 0)) % 37.42/11.44 | | | | % 37.42/11.44 | | | | ALPHA: (574) implies: % 37.42/11.44 | | | | (575) member(all_30_16, all_20_4) = all_153_3 % 37.42/11.44 | | | | (576) member(all_30_15, all_20_4) = all_153_2 % 37.42/11.44 | | | | (577) apply(all_20_3, all_30_16, all_30_15) = all_153_1 % 37.42/11.44 | | | | (578) apply(all_20_2, all_30_16, all_30_15) = all_153_0 % 37.42/11.44 | | | | (579) ~ (all_153_2 = 0) | ~ (all_153_3 = 0) | (all_153_0 = 0 & % 37.42/11.44 | | | | all_153_1 = 0) % 37.42/11.44 | | | | % 37.42/11.45 | | | | DELTA: instantiating (496) with fresh symbols all_155_0, all_155_1, % 37.42/11.45 | | | | all_155_2, all_155_3 gives: % 37.42/11.45 | | | | (580) apply(all_20_2, all_30_17, all_30_16) = all_155_0 & % 37.42/11.45 | | | | apply(all_20_3, all_30_17, all_30_16) = all_155_1 & % 37.42/11.45 | | | | member(all_30_16, all_20_4) = all_155_2 & member(all_30_17, % 37.42/11.45 | | | | all_20_4) = all_155_3 & ( ~ (all_155_2 = 0) | ~ (all_155_3 = % 37.42/11.45 | | | | 0) | (all_155_0 = 0 & all_155_1 = 0)) % 37.42/11.45 | | | | % 37.42/11.45 | | | | ALPHA: (580) implies: % 37.42/11.45 | | | | (581) member(all_30_17, all_20_4) = all_155_3 % 37.42/11.45 | | | | (582) member(all_30_16, all_20_4) = all_155_2 % 37.42/11.45 | | | | (583) apply(all_20_3, all_30_17, all_30_16) = all_155_1 % 37.42/11.45 | | | | (584) apply(all_20_2, all_30_17, all_30_16) = all_155_0 % 37.42/11.45 | | | | (585) ~ (all_155_2 = 0) | ~ (all_155_3 = 0) | (all_155_0 = 0 & % 37.42/11.45 | | | | all_155_1 = 0) % 37.42/11.45 | | | | % 37.42/11.45 | | | | DELTA: instantiating (497) with fresh symbols all_157_0, all_157_1, % 37.42/11.45 | | | | all_157_2, all_157_3 gives: % 37.42/11.45 | | | | (586) apply(all_20_2, all_30_17, all_30_15) = all_157_0 & % 37.42/11.45 | | | | apply(all_20_3, all_30_17, all_30_15) = all_157_1 & % 37.42/11.45 | | | | member(all_30_15, all_20_4) = all_157_2 & member(all_30_17, % 37.42/11.45 | | | | all_20_4) = all_157_3 & ( ~ (all_157_2 = 0) | ~ (all_157_3 = % 37.42/11.45 | | | | 0) | (( ~ (all_157_0 = 0) | ~ (all_157_1 = 0) | all_30_9 = % 37.42/11.45 | | | | 0) & ( ~ (all_30_9 = 0) | (all_157_0 = 0 & all_157_1 = % 37.42/11.45 | | | | 0)))) % 37.42/11.45 | | | | % 37.42/11.45 | | | | ALPHA: (586) implies: % 37.42/11.45 | | | | (587) member(all_30_17, all_20_4) = all_157_3 % 37.42/11.45 | | | | (588) member(all_30_15, all_20_4) = all_157_2 % 37.42/11.45 | | | | (589) apply(all_20_3, all_30_17, all_30_15) = all_157_1 % 37.42/11.45 | | | | (590) apply(all_20_2, all_30_17, all_30_15) = all_157_0 % 37.42/11.45 | | | | (591) ~ (all_157_2 = 0) | ~ (all_157_3 = 0) | (( ~ (all_157_0 = 0) % 37.42/11.45 | | | | | ~ (all_157_1 = 0) | all_30_9 = 0) & ( ~ (all_30_9 = 0) | % 37.42/11.45 | | | | (all_157_0 = 0 & all_157_1 = 0))) % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (5) with 0, all_157_3, all_20_4, all_30_17, % 37.42/11.45 | | | | simplifying with (461), (587) gives: % 37.42/11.45 | | | | (592) all_157_3 = 0 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (5) with all_155_3, all_157_3, all_20_4, % 37.42/11.45 | | | | all_30_17, simplifying with (581), (587) gives: % 37.42/11.45 | | | | (593) all_157_3 = all_155_3 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (5) with 0, all_155_2, all_20_4, all_30_16, % 37.42/11.45 | | | | simplifying with (462), (582) gives: % 37.42/11.45 | | | | (594) all_155_2 = 0 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (5) with all_153_3, all_155_2, all_20_4, % 37.42/11.45 | | | | all_30_16, simplifying with (575), (582) gives: % 37.42/11.45 | | | | (595) all_155_2 = all_153_3 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (5) with 0, all_157_2, all_20_4, all_30_15, % 37.42/11.45 | | | | simplifying with (463), (588) gives: % 37.42/11.45 | | | | (596) all_157_2 = 0 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (5) with all_153_2, all_157_2, all_20_4, % 37.42/11.45 | | | | all_30_15, simplifying with (576), (588) gives: % 37.42/11.45 | | | | (597) all_157_2 = all_153_2 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (6) with all_75_2, all_109_0, all_30_16, % 37.42/11.45 | | | | all_30_17, all_20_3, simplifying with (521), (546) gives: % 37.42/11.45 | | | | (598) all_109_0 = all_75_2 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (6) with all_109_0, all_141_1, all_30_16, % 37.42/11.45 | | | | all_30_17, all_20_3, simplifying with (546), (562) gives: % 37.42/11.45 | | | | (599) all_141_1 = all_109_0 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (6) with all_77_0, all_143_0, all_30_16, % 37.42/11.45 | | | | all_30_17, all_20_3, simplifying with (523), (564) gives: % 37.42/11.45 | | | | (600) all_143_0 = all_77_0 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (6) with all_141_1, all_149_2, all_30_16, % 37.42/11.45 | | | | all_30_17, all_20_3, simplifying with (562), (570) gives: % 37.42/11.45 | | | | (601) all_149_2 = all_141_1 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (6) with all_107_1, all_149_2, all_30_16, % 37.42/11.45 | | | | all_30_17, all_20_3, simplifying with (543), (570) gives: % 37.42/11.45 | | | | (602) all_149_2 = all_107_1 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (6) with all_143_0, all_155_1, all_30_16, % 37.42/11.45 | | | | all_30_17, all_20_3, simplifying with (564), (583) gives: % 37.42/11.45 | | | | (603) all_155_1 = all_143_0 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (6) with all_109_0, all_155_1, all_30_16, % 37.42/11.45 | | | | all_30_17, all_20_3, simplifying with (546), (583) gives: % 37.42/11.45 | | | | (604) all_155_1 = all_109_0 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (6) with all_109_2, all_155_1, all_30_16, % 37.42/11.45 | | | | all_30_17, all_20_3, simplifying with (545), (583) gives: % 37.42/11.45 | | | | (605) all_155_1 = all_109_2 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (6) with all_85_2, all_85_0, all_30_15, % 37.42/11.45 | | | | all_30_17, all_20_3, simplifying with (530), (531) gives: % 37.42/11.45 | | | | (606) all_85_0 = all_85_2 % 37.42/11.45 | | | | % 37.42/11.45 | | | | GROUND_INST: instantiating (6) with all_61_1, all_85_0, all_30_15, % 37.42/11.45 | | | | all_30_17, all_20_3, simplifying with (512), (531) gives: % 37.42/11.46 | | | | (607) all_85_0 = all_61_1 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_51_0, all_85_0, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_3, simplifying with (503), (531) gives: % 37.42/11.46 | | | | (608) all_85_0 = all_51_0 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_85_0, all_143_2, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_3, simplifying with (531), (565) gives: % 37.42/11.46 | | | | (609) all_143_2 = all_85_0 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_143_2, all_145_1, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_3, simplifying with (565), (567) gives: % 37.42/11.46 | | | | (610) all_145_1 = all_143_2 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_145_1, all_149_0, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_3, simplifying with (567), (571) gives: % 37.42/11.46 | | | | (611) all_149_0 = all_145_1 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_51_1, all_149_0, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_3, simplifying with (502), (571) gives: % 37.42/11.46 | | | | (612) all_149_0 = all_51_1 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_51_0, all_157_1, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_3, simplifying with (503), (589) gives: % 37.42/11.46 | | | | (613) all_157_1 = all_51_0 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_49_2, all_157_1, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_3, simplifying with (500), (589) gives: % 37.42/11.46 | | | | (614) all_157_1 = all_49_2 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_145_0, all_149_1, all_30_15, % 37.42/11.46 | | | | all_30_16, all_20_3, simplifying with (568), (572) gives: % 37.42/11.46 | | | | (615) all_149_1 = all_145_0 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_89_0, all_149_1, all_30_15, % 37.42/11.46 | | | | all_30_16, all_20_3, simplifying with (534), (572) gives: % 37.42/11.46 | | | | (616) all_149_1 = all_89_0 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_89_2, all_149_1, all_30_15, % 37.42/11.46 | | | | all_30_16, all_20_3, simplifying with (533), (572) gives: % 37.42/11.46 | | | | (617) all_149_1 = all_89_2 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_95_2, all_153_1, all_30_15, % 37.42/11.46 | | | | all_30_16, all_20_3, simplifying with (536), (577) gives: % 37.42/11.46 | | | | (618) all_153_1 = all_95_2 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_89_0, all_153_1, all_30_15, % 37.42/11.46 | | | | all_30_16, all_20_3, simplifying with (534), (577) gives: % 37.42/11.46 | | | | (619) all_153_1 = all_89_0 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_57_2, all_153_1, all_30_15, % 37.42/11.46 | | | | all_30_16, all_20_3, simplifying with (510), (577) gives: % 37.42/11.46 | | | | (620) all_153_1 = all_57_2 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_69_2, all_115_2, all_30_16, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (516), (550) gives: % 37.42/11.46 | | | | (621) all_115_2 = all_69_2 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_69_2, all_117_1, all_30_16, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (516), (552) gives: % 37.42/11.46 | | | | (622) all_117_1 = all_69_2 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_117_0, all_127_1, all_30_16, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (553), (555) gives: % 37.42/11.46 | | | | (623) all_127_1 = all_117_0 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_115_2, all_127_1, all_30_16, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (550), (555) gives: % 37.42/11.46 | | | | (624) all_127_1 = all_115_2 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_117_1, all_131_2, all_30_16, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (552), (557) gives: % 37.42/11.46 | | | | (625) all_131_2 = all_117_1 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_53_1, all_131_2, all_30_16, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (505), (557) gives: % 37.42/11.46 | | | | (626) all_131_2 = all_53_1 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_127_1, all_131_0, all_30_16, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (555), (558) gives: % 37.42/11.46 | | | | (627) all_131_0 = all_127_1 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_131_0, all_155_0, all_30_16, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (558), (584) gives: % 37.42/11.46 | | | | (628) all_155_0 = all_131_0 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_55_0, all_155_0, all_30_16, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (507), (584) gives: % 37.42/11.46 | | | | (629) all_155_0 = all_55_0 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_69_0, all_79_1, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (517), (525) gives: % 37.42/11.46 | | | | (630) all_79_1 = all_69_0 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_79_1, all_81_1, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (525), (527) gives: % 37.42/11.46 | | | | (631) all_81_1 = all_79_1 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_81_1, all_81_0, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (527), (528) gives: % 37.42/11.46 | | | | (632) all_81_0 = all_81_1 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_81_0, all_101_2, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (528), (538) gives: % 37.42/11.46 | | | | (633) all_101_2 = all_81_0 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_101_2, all_101_0, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (538), (539) gives: % 37.42/11.46 | | | | (634) all_101_0 = all_101_2 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_101_0, all_157_0, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (539), (590) gives: % 37.42/11.46 | | | | (635) all_157_0 = all_101_0 % 37.42/11.46 | | | | % 37.42/11.46 | | | | GROUND_INST: instantiating (6) with all_55_2, all_157_0, all_30_15, % 37.42/11.46 | | | | all_30_17, all_20_2, simplifying with (508), (590) gives: % 37.42/11.47 | | | | (636) all_157_0 = all_55_2 % 37.42/11.47 | | | | % 37.42/11.47 | | | | GROUND_INST: instantiating (6) with all_103_2, all_111_1, all_30_15, % 37.42/11.47 | | | | all_30_16, all_20_2, simplifying with (541), (548) gives: % 37.42/11.47 | | | | (637) all_111_1 = all_103_2 % 37.42/11.47 | | | | % 37.42/11.47 | | | | GROUND_INST: instantiating (6) with all_111_1, all_137_0, all_30_15, % 37.42/11.47 | | | | all_30_16, all_20_2, simplifying with (548), (560) gives: % 37.42/11.47 | | | | (638) all_137_0 = all_111_1 % 37.42/11.47 | | | | % 37.42/11.47 | | | | GROUND_INST: instantiating (6) with all_69_1, all_137_0, all_30_15, % 37.42/11.47 | | | | all_30_16, all_20_2, simplifying with (518), (560) gives: % 37.42/11.47 | | | | (639) all_137_0 = all_69_1 % 37.42/11.47 | | | | % 37.42/11.47 | | | | GROUND_INST: instantiating (6) with all_103_2, all_153_0, all_30_15, % 37.42/11.47 | | | | all_30_16, all_20_2, simplifying with (541), (578) gives: % 37.42/11.47 | | | | (640) all_153_0 = all_103_2 % 37.42/11.47 | | | | % 37.42/11.47 | | | | GROUND_INST: instantiating (6) with all_65_2, all_153_0, all_30_15, % 37.42/11.47 | | | | all_30_16, all_20_2, simplifying with (514), (578) gives: % 37.42/11.47 | | | | (641) all_153_0 = all_65_2 % 37.42/11.47 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (635), (636) imply: % 37.56/11.48 | | | | (642) all_101_0 = all_55_2 % 37.56/11.48 | | | | % 37.56/11.48 | | | | SIMP: (642) implies: % 37.56/11.48 | | | | (643) all_101_0 = all_55_2 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (613), (614) imply: % 37.56/11.48 | | | | (644) all_51_0 = all_49_2 % 37.56/11.48 | | | | % 37.56/11.48 | | | | SIMP: (644) implies: % 37.56/11.48 | | | | (645) all_51_0 = all_49_2 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (596), (597) imply: % 37.56/11.48 | | | | (646) all_153_2 = 0 % 37.56/11.48 | | | | % 37.56/11.48 | | | | SIMP: (646) implies: % 37.56/11.48 | | | | (647) all_153_2 = 0 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (592), (593) imply: % 37.56/11.48 | | | | (648) all_155_3 = 0 % 37.56/11.48 | | | | % 37.56/11.48 | | | | SIMP: (648) implies: % 37.56/11.48 | | | | (649) all_155_3 = 0 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (628), (629) imply: % 37.56/11.48 | | | | (650) all_131_0 = all_55_0 % 37.56/11.48 | | | | % 37.56/11.48 | | | | SIMP: (650) implies: % 37.56/11.48 | | | | (651) all_131_0 = all_55_0 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (603), (605) imply: % 37.56/11.48 | | | | (652) all_143_0 = all_109_2 % 37.56/11.48 | | | | % 37.56/11.48 | | | | SIMP: (652) implies: % 37.56/11.48 | | | | (653) all_143_0 = all_109_2 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (604), (605) imply: % 37.56/11.48 | | | | (654) all_109_0 = all_109_2 % 37.56/11.48 | | | | % 37.56/11.48 | | | | SIMP: (654) implies: % 37.56/11.48 | | | | (655) all_109_0 = all_109_2 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (594), (595) imply: % 37.56/11.48 | | | | (656) all_153_3 = 0 % 37.56/11.48 | | | | % 37.56/11.48 | | | | SIMP: (656) implies: % 37.56/11.48 | | | | (657) all_153_3 = 0 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (640), (641) imply: % 37.56/11.48 | | | | (658) all_103_2 = all_65_2 % 37.56/11.48 | | | | % 37.56/11.48 | | | | SIMP: (658) implies: % 37.56/11.48 | | | | (659) all_103_2 = all_65_2 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (618), (619) imply: % 37.56/11.48 | | | | (660) all_95_2 = all_89_0 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (618), (620) imply: % 37.56/11.48 | | | | (661) all_95_2 = all_57_2 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (611), (612) imply: % 37.56/11.48 | | | | (662) all_145_1 = all_51_1 % 37.56/11.48 | | | | % 37.56/11.48 | | | | SIMP: (662) implies: % 37.56/11.48 | | | | (663) all_145_1 = all_51_1 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (615), (616) imply: % 37.56/11.48 | | | | (664) all_145_0 = all_89_0 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (615), (617) imply: % 37.56/11.48 | | | | (665) all_145_0 = all_89_2 % 37.56/11.48 | | | | % 37.56/11.48 | | | | COMBINE_EQS: (601), (602) imply: % 37.56/11.48 | | | | (666) all_141_1 = all_107_1 % 37.56/11.48 | | | | % 37.56/11.48 | | | | SIMP: (666) implies: % 37.56/11.49 | | | | (667) all_141_1 = all_107_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (664), (665) imply: % 37.56/11.49 | | | | (668) all_89_0 = all_89_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (668) implies: % 37.56/11.49 | | | | (669) all_89_0 = all_89_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (610), (663) imply: % 37.56/11.49 | | | | (670) all_143_2 = all_51_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (670) implies: % 37.56/11.49 | | | | (671) all_143_2 = all_51_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (600), (653) imply: % 37.56/11.49 | | | | (672) all_109_2 = all_77_0 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (672) implies: % 37.56/11.49 | | | | (673) all_109_2 = all_77_0 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (609), (671) imply: % 37.56/11.49 | | | | (674) all_85_0 = all_51_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (674) implies: % 37.56/11.49 | | | | (675) all_85_0 = all_51_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (599), (667) imply: % 37.56/11.49 | | | | (676) all_109_0 = all_107_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (676) implies: % 37.56/11.49 | | | | (677) all_109_0 = all_107_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (638), (639) imply: % 37.56/11.49 | | | | (678) all_111_1 = all_69_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (678) implies: % 37.56/11.49 | | | | (679) all_111_1 = all_69_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (627), (651) imply: % 37.56/11.49 | | | | (680) all_127_1 = all_55_0 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (680) implies: % 37.56/11.49 | | | | (681) all_127_1 = all_55_0 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (625), (626) imply: % 37.56/11.49 | | | | (682) all_117_1 = all_53_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (682) implies: % 37.56/11.49 | | | | (683) all_117_1 = all_53_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (623), (681) imply: % 37.56/11.49 | | | | (684) all_117_0 = all_55_0 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (623), (624) imply: % 37.56/11.49 | | | | (685) all_117_0 = all_115_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (684), (685) imply: % 37.56/11.49 | | | | (686) all_115_2 = all_55_0 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (686) implies: % 37.56/11.49 | | | | (687) all_115_2 = all_55_0 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (622), (683) imply: % 37.56/11.49 | | | | (688) all_69_2 = all_53_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (688) implies: % 37.56/11.49 | | | | (689) all_69_2 = all_53_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (621), (687) imply: % 37.56/11.49 | | | | (690) all_69_2 = all_55_0 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (690) implies: % 37.56/11.49 | | | | (691) all_69_2 = all_55_0 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (637), (679) imply: % 37.56/11.49 | | | | (692) all_103_2 = all_69_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (692) implies: % 37.56/11.49 | | | | (693) all_103_2 = all_69_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (598), (677) imply: % 37.56/11.49 | | | | (694) all_107_1 = all_75_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (655), (677) imply: % 37.56/11.49 | | | | (695) all_109_2 = all_107_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (695) implies: % 37.56/11.49 | | | | (696) all_109_2 = all_107_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (673), (696) imply: % 37.56/11.49 | | | | (697) all_107_1 = all_77_0 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (697) implies: % 37.56/11.49 | | | | (698) all_107_1 = all_77_0 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (694), (698) imply: % 37.56/11.49 | | | | (699) all_77_0 = all_75_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (659), (693) imply: % 37.56/11.49 | | | | (700) all_69_1 = all_65_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (700) implies: % 37.56/11.49 | | | | (701) all_69_1 = all_65_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (634), (643) imply: % 37.56/11.49 | | | | (702) all_101_2 = all_55_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (702) implies: % 37.56/11.49 | | | | (703) all_101_2 = all_55_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (633), (703) imply: % 37.56/11.49 | | | | (704) all_81_0 = all_55_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (704) implies: % 37.56/11.49 | | | | (705) all_81_0 = all_55_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (660), (661) imply: % 37.56/11.49 | | | | (706) all_89_0 = all_57_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (706) implies: % 37.56/11.49 | | | | (707) all_89_0 = all_57_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (669), (707) imply: % 37.56/11.49 | | | | (708) all_89_2 = all_57_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | SIMP: (708) implies: % 37.56/11.49 | | | | (709) all_89_2 = all_57_2 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (606), (607) imply: % 37.56/11.49 | | | | (710) all_85_2 = all_61_1 % 37.56/11.49 | | | | % 37.56/11.49 | | | | COMBINE_EQS: (606), (675) imply: % 37.56/11.49 | | | | (711) all_85_2 = all_51_1 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (606), (608) imply: % 37.56/11.50 | | | | (712) all_85_2 = all_51_0 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (710), (711) imply: % 37.56/11.50 | | | | (713) all_61_1 = all_51_1 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (710), (712) imply: % 37.56/11.50 | | | | (714) all_61_1 = all_51_0 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (632), (705) imply: % 37.56/11.50 | | | | (715) all_81_1 = all_55_2 % 37.56/11.50 | | | | % 37.56/11.50 | | | | SIMP: (715) implies: % 37.56/11.50 | | | | (716) all_81_1 = all_55_2 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (631), (716) imply: % 37.56/11.50 | | | | (717) all_79_1 = all_55_2 % 37.56/11.50 | | | | % 37.56/11.50 | | | | SIMP: (717) implies: % 37.56/11.50 | | | | (718) all_79_1 = all_55_2 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (630), (718) imply: % 37.56/11.50 | | | | (719) all_69_0 = all_55_2 % 37.56/11.50 | | | | % 37.56/11.50 | | | | SIMP: (719) implies: % 37.56/11.50 | | | | (720) all_69_0 = all_55_2 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (689), (691) imply: % 37.56/11.50 | | | | (721) all_55_0 = all_53_1 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (713), (714) imply: % 37.56/11.50 | | | | (722) all_51_0 = all_51_1 % 37.56/11.50 | | | | % 37.56/11.50 | | | | SIMP: (722) implies: % 37.56/11.50 | | | | (723) all_51_0 = all_51_1 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (645), (723) imply: % 37.56/11.50 | | | | (724) all_51_1 = all_49_2 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (673), (699) imply: % 37.56/11.50 | | | | (725) all_109_2 = all_75_2 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (665), (709) imply: % 37.56/11.50 | | | | (726) all_145_0 = all_57_2 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (602), (694) imply: % 37.56/11.50 | | | | (727) all_149_2 = all_75_2 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (615), (726) imply: % 37.56/11.50 | | | | (728) all_149_1 = all_57_2 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (612), (724) imply: % 37.56/11.50 | | | | (729) all_149_0 = all_49_2 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (605), (725) imply: % 37.56/11.50 | | | | (730) all_155_1 = all_75_2 % 37.56/11.50 | | | | % 37.56/11.50 | | | | COMBINE_EQS: (629), (721) imply: % 37.56/11.50 | | | | (731) all_155_0 = all_53_1 % 37.56/11.50 | | | | % 37.56/11.50 | | | | BETA: splitting (579) gives: % 37.56/11.50 | | | | % 37.56/11.50 | | | | Case 1: % 37.56/11.50 | | | | | % 37.56/11.50 | | | | | (732) ~ (all_153_2 = 0) % 37.56/11.50 | | | | | % 37.56/11.50 | | | | | REDUCE: (647), (732) imply: % 37.56/11.50 | | | | | (733) $false % 37.56/11.50 | | | | | % 37.56/11.50 | | | | | CLOSE: (733) is inconsistent. % 37.56/11.50 | | | | | % 37.56/11.50 | | | | Case 2: % 37.56/11.50 | | | | | % 37.56/11.50 | | | | | (734) ~ (all_153_3 = 0) | (all_153_0 = 0 & all_153_1 = 0) % 37.56/11.50 | | | | | % 37.56/11.50 | | | | | BETA: splitting (734) gives: % 37.56/11.50 | | | | | % 37.56/11.50 | | | | | Case 1: % 37.56/11.50 | | | | | | % 37.56/11.50 | | | | | | (735) ~ (all_153_3 = 0) % 37.56/11.50 | | | | | | % 37.56/11.50 | | | | | | REDUCE: (657), (735) imply: % 37.56/11.50 | | | | | | (736) $false % 37.56/11.50 | | | | | | % 37.56/11.50 | | | | | | CLOSE: (736) is inconsistent. % 37.56/11.50 | | | | | | % 37.56/11.50 | | | | | Case 2: % 37.56/11.50 | | | | | | % 37.56/11.50 | | | | | | (737) all_153_0 = 0 & all_153_1 = 0 % 37.56/11.50 | | | | | | % 37.56/11.50 | | | | | | ALPHA: (737) implies: % 37.56/11.50 | | | | | | (738) all_153_1 = 0 % 37.56/11.50 | | | | | | (739) all_153_0 = 0 % 37.56/11.50 | | | | | | % 37.56/11.50 | | | | | | COMBINE_EQS: (641), (739) imply: % 37.56/11.50 | | | | | | (740) all_65_2 = 0 % 37.56/11.50 | | | | | | % 37.56/11.50 | | | | | | COMBINE_EQS: (620), (738) imply: % 37.56/11.50 | | | | | | (741) all_57_2 = 0 % 37.56/11.50 | | | | | | % 37.56/11.50 | | | | | | COMBINE_EQS: (701), (740) imply: % 37.56/11.50 | | | | | | (742) all_69_1 = 0 % 37.56/11.50 | | | | | | % 37.56/11.50 | | | | | | COMBINE_EQS: (728), (741) imply: % 37.56/11.50 | | | | | | (743) all_149_1 = 0 % 37.56/11.50 | | | | | | % 37.56/11.50 | | | | | | BETA: splitting (585) gives: % 37.56/11.50 | | | | | | % 37.56/11.50 | | | | | | Case 1: % 37.56/11.50 | | | | | | | % 37.56/11.50 | | | | | | | (744) ~ (all_155_2 = 0) % 37.56/11.50 | | | | | | | % 37.56/11.50 | | | | | | | REDUCE: (594), (744) imply: % 37.56/11.50 | | | | | | | (745) $false % 37.56/11.50 | | | | | | | % 37.56/11.50 | | | | | | | CLOSE: (745) is inconsistent. % 37.56/11.50 | | | | | | | % 37.56/11.50 | | | | | | Case 2: % 37.56/11.50 | | | | | | | % 37.56/11.50 | | | | | | | (746) ~ (all_155_3 = 0) | (all_155_0 = 0 & all_155_1 = 0) % 37.56/11.51 | | | | | | | % 37.56/11.51 | | | | | | | BETA: splitting (746) gives: % 37.56/11.51 | | | | | | | % 37.56/11.51 | | | | | | | Case 1: % 37.56/11.51 | | | | | | | | % 37.56/11.52 | | | | | | | | (747) ~ (all_155_3 = 0) % 37.56/11.52 | | | | | | | | % 37.56/11.52 | | | | | | | | REDUCE: (649), (747) imply: % 37.56/11.52 | | | | | | | | (748) $false % 37.56/11.52 | | | | | | | | % 37.56/11.52 | | | | | | | | CLOSE: (748) is inconsistent. % 37.56/11.52 | | | | | | | | % 37.56/11.52 | | | | | | | Case 2: % 37.56/11.52 | | | | | | | | % 37.56/11.52 | | | | | | | | (749) all_155_0 = 0 & all_155_1 = 0 % 37.56/11.52 | | | | | | | | % 37.56/11.52 | | | | | | | | ALPHA: (749) implies: % 37.56/11.52 | | | | | | | | (750) all_155_1 = 0 % 37.56/11.52 | | | | | | | | (751) all_155_0 = 0 % 37.56/11.52 | | | | | | | | % 37.56/11.52 | | | | | | | | COMBINE_EQS: (731), (751) imply: % 37.56/11.52 | | | | | | | | (752) all_53_1 = 0 % 37.56/11.52 | | | | | | | | % 37.56/11.52 | | | | | | | | COMBINE_EQS: (730), (750) imply: % 37.56/11.52 | | | | | | | | (753) all_75_2 = 0 % 37.56/11.52 | | | | | | | | % 37.56/11.52 | | | | | | | | SIMP: (753) implies: % 37.56/11.52 | | | | | | | | (754) all_75_2 = 0 % 37.56/11.52 | | | | | | | | % 37.56/11.52 | | | | | | | | COMBINE_EQS: (689), (752) imply: % 37.56/11.52 | | | | | | | | (755) all_69_2 = 0 % 37.56/11.52 | | | | | | | | % 37.56/11.52 | | | | | | | | COMBINE_EQS: (727), (754) imply: % 37.56/11.52 | | | | | | | | (756) all_149_2 = 0 % 37.56/11.52 | | | | | | | | % 37.56/11.52 | | | | | | | | BETA: splitting (519) gives: % 37.56/11.52 | | | | | | | | % 37.56/11.52 | | | | | | | | Case 1: % 37.56/11.52 | | | | | | | | | % 37.56/11.52 | | | | | | | | | (757) ~ (all_69_1 = 0) % 37.56/11.52 | | | | | | | | | % 37.56/11.52 | | | | | | | | | REDUCE: (742), (757) imply: % 37.56/11.52 | | | | | | | | | (758) $false % 37.56/11.52 | | | | | | | | | % 37.56/11.52 | | | | | | | | | CLOSE: (758) is inconsistent. % 37.56/11.52 | | | | | | | | | % 37.56/11.52 | | | | | | | | Case 2: % 37.56/11.52 | | | | | | | | | % 37.56/11.52 | | | | | | | | | (759) ~ (all_69_2 = 0) | all_69_0 = 0 % 37.56/11.52 | | | | | | | | | % 37.56/11.52 | | | | | | | | | BETA: splitting (759) gives: % 37.56/11.52 | | | | | | | | | % 37.56/11.52 | | | | | | | | | Case 1: % 37.56/11.52 | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | (760) ~ (all_69_2 = 0) % 37.56/11.52 | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | REDUCE: (755), (760) imply: % 37.56/11.52 | | | | | | | | | | (761) $false % 37.56/11.52 | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | CLOSE: (761) is inconsistent. % 37.56/11.52 | | | | | | | | | | % 37.56/11.52 | | | | | | | | | Case 2: % 37.56/11.52 | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | (762) all_69_0 = 0 % 37.56/11.52 | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | COMBINE_EQS: (720), (762) imply: % 37.56/11.52 | | | | | | | | | | (763) all_55_2 = 0 % 37.56/11.52 | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | COMBINE_EQS: (636), (763) imply: % 37.56/11.52 | | | | | | | | | | (764) all_157_0 = 0 % 37.56/11.52 | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | BETA: splitting (591) gives: % 37.56/11.52 | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | Case 1: % 37.56/11.52 | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | (765) ~ (all_157_2 = 0) % 37.56/11.52 | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | REDUCE: (596), (765) imply: % 37.56/11.52 | | | | | | | | | | | (766) $false % 37.56/11.52 | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | CLOSE: (766) is inconsistent. % 37.56/11.52 | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | Case 2: % 37.56/11.52 | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | (767) ~ (all_157_3 = 0) | (( ~ (all_157_0 = 0) | ~ % 37.56/11.52 | | | | | | | | | | | (all_157_1 = 0) | all_30_9 = 0) & ( ~ % 37.56/11.52 | | | | | | | | | | | (all_30_9 = 0) | (all_157_0 = 0 & all_157_1 = % 37.56/11.52 | | | | | | | | | | | 0))) % 37.56/11.52 | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | BETA: splitting (767) gives: % 37.56/11.52 | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | Case 1: % 37.56/11.52 | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | (768) ~ (all_157_3 = 0) % 37.56/11.52 | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | REDUCE: (592), (768) imply: % 37.56/11.52 | | | | | | | | | | | | (769) $false % 37.56/11.52 | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | CLOSE: (769) is inconsistent. % 37.56/11.52 | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | Case 2: % 37.56/11.52 | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | (770) ( ~ (all_157_0 = 0) | ~ (all_157_1 = 0) | % 37.56/11.52 | | | | | | | | | | | | all_30_9 = 0) & ( ~ (all_30_9 = 0) | (all_157_0 % 37.56/11.52 | | | | | | | | | | | | = 0 & all_157_1 = 0)) % 37.56/11.52 | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | ALPHA: (770) implies: % 37.56/11.52 | | | | | | | | | | | | (771) ~ (all_157_0 = 0) | ~ (all_157_1 = 0) | all_30_9 % 37.56/11.52 | | | | | | | | | | | | = 0 % 37.56/11.52 | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | BETA: splitting (771) gives: % 37.56/11.52 | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | Case 1: % 37.56/11.52 | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | (772) ~ (all_157_0 = 0) % 37.56/11.52 | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | REDUCE: (764), (772) imply: % 37.56/11.52 | | | | | | | | | | | | | (773) $false % 37.56/11.52 | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | CLOSE: (773) is inconsistent. % 37.56/11.52 | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | Case 2: % 37.56/11.52 | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | (774) ~ (all_157_1 = 0) | all_30_9 = 0 % 37.56/11.52 | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | BETA: splitting (774) gives: % 37.56/11.52 | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | Case 1: % 37.56/11.52 | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | (775) ~ (all_157_1 = 0) % 37.56/11.52 | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | REDUCE: (614), (775) imply: % 37.56/11.52 | | | | | | | | | | | | | | (776) ~ (all_49_2 = 0) % 37.56/11.52 | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | BETA: splitting (573) gives: % 37.56/11.52 | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | Case 1: % 37.56/11.52 | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | | (777) ~ (all_149_1 = 0) % 37.56/11.52 | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | | REDUCE: (743), (777) imply: % 37.56/11.52 | | | | | | | | | | | | | | | (778) $false % 37.56/11.52 | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | | CLOSE: (778) is inconsistent. % 37.56/11.52 | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | Case 2: % 37.56/11.52 | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | | (779) ~ (all_149_2 = 0) | all_149_0 = 0 % 37.56/11.52 | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | | BETA: splitting (779) gives: % 37.56/11.52 | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | | Case 1: % 37.56/11.52 | | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | | | (780) ~ (all_149_2 = 0) % 37.56/11.52 | | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | | | REDUCE: (756), (780) imply: % 37.56/11.52 | | | | | | | | | | | | | | | | (781) $false % 37.56/11.52 | | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | | | CLOSE: (781) is inconsistent. % 37.56/11.52 | | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | | Case 2: % 37.56/11.52 | | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | | | (782) all_149_0 = 0 % 37.56/11.52 | | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (729), (782) imply: % 37.56/11.52 | | | | | | | | | | | | | | | | (783) all_49_2 = 0 % 37.56/11.52 | | | | | | | | | | | | | | | | % 37.56/11.52 | | | | | | | | | | | | | | | | REDUCE: (776), (783) imply: % 37.56/11.52 | | | | | | | | | | | | | | | | (784) $false % 37.56/11.53 | | | | | | | | | | | | | | | | % 37.56/11.53 | | | | | | | | | | | | | | | | CLOSE: (784) is inconsistent. % 37.56/11.53 | | | | | | | | | | | | | | | | % 37.56/11.53 | | | | | | | | | | | | | | | End of split % 37.56/11.53 | | | | | | | | | | | | | | | % 37.56/11.53 | | | | | | | | | | | | | | End of split % 37.56/11.53 | | | | | | | | | | | | | | % 37.56/11.53 | | | | | | | | | | | | | Case 2: % 37.56/11.53 | | | | | | | | | | | | | | % 37.56/11.53 | | | | | | | | | | | | | | (785) all_30_9 = 0 % 37.56/11.53 | | | | | | | | | | | | | | % 37.56/11.53 | | | | | | | | | | | | | | REDUCE: (460), (785) imply: % 37.56/11.53 | | | | | | | | | | | | | | (786) $false % 37.56/11.53 | | | | | | | | | | | | | | % 37.56/11.53 | | | | | | | | | | | | | | CLOSE: (786) is inconsistent. % 37.56/11.53 | | | | | | | | | | | | | | % 37.56/11.53 | | | | | | | | | | | | | End of split % 37.56/11.53 | | | | | | | | | | | | | % 37.56/11.53 | | | | | | | | | | | | End of split % 37.56/11.53 | | | | | | | | | | | | % 37.56/11.53 | | | | | | | | | | | End of split % 37.56/11.53 | | | | | | | | | | | % 37.56/11.53 | | | | | | | | | | End of split % 37.56/11.53 | | | | | | | | | | % 37.56/11.53 | | | | | | | | | End of split % 37.56/11.53 | | | | | | | | | % 37.56/11.53 | | | | | | | | End of split % 37.56/11.53 | | | | | | | | % 37.56/11.53 | | | | | | | End of split % 37.56/11.53 | | | | | | | % 37.56/11.53 | | | | | | End of split % 37.56/11.53 | | | | | | % 37.56/11.53 | | | | | End of split % 37.56/11.53 | | | | | % 37.56/11.53 | | | | End of split % 37.56/11.53 | | | | % 37.56/11.53 | | | End of split % 37.56/11.53 | | | % 37.56/11.53 | | End of split % 37.56/11.53 | | % 37.56/11.53 | End of split % 37.56/11.53 | % 37.56/11.53 End of proof % 37.56/11.53 % SZS output end Proof for theBenchmark % 37.56/11.53 % 37.56/11.53 10729ms %------------------------------------------------------------------------------