%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU008+1 : TPTP v8.1.2. Released v3.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n021.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 17:42:16 EDT 2023 % Result : Theorem 19.01s 3.38s % Output : Proof 80.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU008+1 : TPTP v8.1.2. Released v3.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n021.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Wed Aug 23 20:23:09 EDT 2023 % 0.12/0.34 % CPUTime : % 0.20/0.60 ________ _____ % 0.20/0.60 ___ __ \_________(_)________________________________ % 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.60 % 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.60 (2023-06-19) % 0.20/0.60 % 0.20/0.60 (c) Philipp Rümmer, 2009-2023 % 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.60 Amanda Stjerna. % 0.20/0.60 Free software under BSD-3-Clause. % 0.20/0.60 % 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.60 % 0.20/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.74/1.10 Prover 4: Preprocessing ... % 2.74/1.10 Prover 1: Preprocessing ... % 2.74/1.14 Prover 3: Preprocessing ... % 2.74/1.14 Prover 5: Preprocessing ... % 2.74/1.14 Prover 0: Preprocessing ... % 2.74/1.14 Prover 6: Preprocessing ... % 2.74/1.14 Prover 2: Preprocessing ... % 6.47/1.65 Prover 1: Warning: ignoring some quantifiers % 6.47/1.66 Prover 5: Proving ... % 6.47/1.68 Prover 3: Warning: ignoring some quantifiers % 6.47/1.70 Prover 1: Constructing countermodel ... % 6.47/1.72 Prover 3: Constructing countermodel ... % 7.17/1.74 Prover 6: Proving ... % 7.17/1.77 Prover 2: Proving ... % 7.17/1.80 Prover 4: Warning: ignoring some quantifiers % 7.69/1.86 Prover 4: Constructing countermodel ... % 8.20/1.94 Prover 0: Proving ... % 11.36/2.32 Prover 3: gave up % 11.36/2.32 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.84/2.40 Prover 7: Preprocessing ... % 13.01/2.53 Prover 7: Warning: ignoring some quantifiers % 13.06/2.56 Prover 7: Constructing countermodel ... % 16.74/3.08 Prover 1: gave up % 16.74/3.08 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 16.74/3.11 Prover 8: Preprocessing ... % 17.90/3.23 Prover 8: Warning: ignoring some quantifiers % 18.43/3.26 Prover 8: Constructing countermodel ... % 19.01/3.38 Prover 0: proved (2751ms) % 19.01/3.38 % 19.01/3.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 19.01/3.38 % 19.01/3.38 Prover 2: stopped % 19.01/3.39 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 19.01/3.39 Prover 6: stopped % 19.01/3.39 Prover 5: stopped % 19.01/3.40 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 19.01/3.40 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 19.01/3.40 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 19.01/3.42 Prover 10: Preprocessing ... % 19.01/3.44 Prover 11: Preprocessing ... % 19.01/3.44 Prover 13: Preprocessing ... % 19.01/3.47 Prover 16: Preprocessing ... % 19.01/3.49 Prover 10: Warning: ignoring some quantifiers % 19.01/3.49 Prover 10: Constructing countermodel ... % 19.01/3.56 Prover 16: Warning: ignoring some quantifiers % 19.01/3.56 Prover 13: Warning: ignoring some quantifiers % 20.06/3.57 Prover 10: gave up % 20.06/3.59 Prover 16: Constructing countermodel ... % 20.06/3.59 Prover 13: Constructing countermodel ... % 20.06/3.59 Prover 11: Warning: ignoring some quantifiers % 20.06/3.59 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 20.06/3.60 Prover 11: Constructing countermodel ... % 20.06/3.62 Prover 19: Preprocessing ... % 22.22/3.80 Prover 19: Warning: ignoring some quantifiers % 22.48/3.81 Prover 19: Constructing countermodel ... % 26.10/4.36 Prover 19: gave up % 26.85/4.39 Prover 8: gave up % 64.68/9.33 Prover 13: stopped % 73.19/10.60 Prover 16: stopped % 78.14/11.48 Prover 4: Found proof (size 823) % 78.14/11.48 Prover 4: proved (10856ms) % 78.14/11.49 Prover 7: stopped % 78.14/11.49 Prover 11: stopped % 78.14/11.49 % 78.14/11.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 78.14/11.49 % 78.55/11.61 % SZS output start Proof for theBenchmark % 78.55/11.62 Assumptions after simplification: % 78.55/11.62 --------------------------------- % 78.55/11.62 % 78.55/11.62 (cc1_funct_1) % 78.55/11.65 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (function(v0) = v1) | ~ $i(v0) | ? % 78.55/11.65 [v2: int] : ( ~ (v2 = 0) & empty(v0) = v2)) & ! [v0: $i] : ( ~ (empty(v0) = % 78.55/11.65 0) | ~ $i(v0) | function(v0) = 0) % 78.55/11.65 % 78.55/11.65 (cc1_relat_1) % 78.55/11.65 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (relation(v0) = v1) | ~ $i(v0) | ? % 78.55/11.65 [v2: int] : ( ~ (v2 = 0) & empty(v0) = v2)) & ! [v0: $i] : ( ~ (empty(v0) = % 78.55/11.65 0) | ~ $i(v0) | relation(v0) = 0) % 78.55/11.65 % 78.55/11.65 (commutativity_k3_xboole_0) % 78.55/11.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_intersection2(v1, v0) = v2) % 78.55/11.65 | ~ $i(v1) | ~ $i(v0) | (set_intersection2(v0, v1) = v2 & $i(v2))) & ! % 78.55/11.65 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_intersection2(v0, v1) = v2) | % 78.55/11.65 ~ $i(v1) | ~ $i(v0) | (set_intersection2(v1, v0) = v2 & $i(v2))) % 78.55/11.65 % 78.55/11.65 (d3_xboole_0) % 78.55/11.66 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 % 78.55/11.66 | ~ (set_intersection2(v0, v1) = v2) | ~ (in(v3, v2) = v4) | ~ $i(v3) | % 78.55/11.66 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : (in(v3, v1) % 78.55/11.66 = v6 & in(v3, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0: $i] : ! % 78.55/11.66 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: any] : ( ~ % 78.55/11.66 (set_intersection2(v0, v1) = v2) | ~ (in(v3, v1) = v4) | ~ $i(v3) | ~ % 78.55/11.66 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : (in(v3, v2) = % 78.55/11.66 v5 & in(v3, v0) = v6 & ( ~ (v5 = 0) | (v6 = 0 & v4 = 0)))) & ! [v0: $i] : % 78.55/11.66 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: any] : ( ~ % 78.55/11.66 (set_intersection2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ~ $i(v3) | ~ % 78.55/11.66 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : (in(v3, v2) = % 78.55/11.66 v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v6 = 0 & v4 = 0)))) & ! [v0: $i] : % 78.55/11.66 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (set_intersection2(v0, v1) = v2) % 78.55/11.66 | ~ (in(v3, v2) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 78.55/11.66 (in(v3, v1) = 0 & in(v3, v0) = 0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 78.55/11.66 : ! [v3: $i] : ( ~ (set_intersection2(v0, v1) = v2) | ~ (in(v3, v1) = 0) | % 78.55/11.66 ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : % 78.55/11.66 (in(v3, v2) = v5 & in(v3, v0) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0: $i] % 78.55/11.66 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (set_intersection2(v0, v1) = % 78.55/11.66 v2) | ~ (in(v3, v0) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 78.55/11.66 | ? [v4: any] : ? [v5: any] : (in(v3, v2) = v5 & in(v3, v1) = v4 & ( ~ (v4 % 78.55/11.66 = 0) | v5 = 0))) & ? [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 78.55/11.66 $i] : (v3 = v0 | ~ (set_intersection2(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) % 78.55/11.66 | ~ $i(v0) | ? [v4: $i] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 78.55/11.66 (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & $i(v4) & ( ~ (v7 = 0) % 78.55/11.66 | ~ (v6 = 0) | ~ (v5 = 0)) & (v5 = 0 | (v7 = 0 & v6 = 0)))) % 78.55/11.66 % 78.55/11.66 (dt_k5_relat_1) % 78.55/11.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_composition(v0, v1) = % 78.55/11.67 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 78.55/11.67 (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) | % 78.55/11.67 ~ (v3 = 0) | v5 = 0))) % 78.55/11.67 % 78.55/11.67 (fc10_relat_1) % 78.55/11.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_composition(v1, v0) = % 78.55/11.67 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 78.55/11.67 ? [v6: any] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & % 78.55/11.67 empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) % 78.55/11.67 % 78.55/11.67 (fc1_funct_1) % 78.55/11.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_composition(v0, v1) = % 78.55/11.67 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 78.55/11.67 ? [v6: any] : ? [v7: any] : ? [v8: any] : (relation(v2) = v7 & % 78.55/11.67 relation(v1) = v5 & relation(v0) = v3 & function(v2) = v8 & function(v1) = % 78.55/11.67 v6 & function(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 % 78.55/11.67 = 0) | (v8 = 0 & v7 = 0)))) % 78.55/11.67 % 78.55/11.67 (fc1_subset_1) % 78.55/11.67 ! [v0: $i] : ! [v1: $i] : ( ~ (powerset(v0) = v1) | ~ $i(v0) | ? [v2: int] % 78.55/11.67 : ( ~ (v2 = 0) & empty(v1) = v2)) % 78.55/11.67 % 78.55/11.67 (fc2_funct_1) % 78.55/11.67 ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) = v1) | ~ $i(v0) | % 78.55/11.67 relation(v1) = 0) & ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) = % 78.55/11.67 v1) | ~ $i(v0) | function(v1) = 0) % 78.55/11.67 % 78.55/11.67 (fc4_relat_1) % 78.55/11.67 relation(empty_set) = 0 & empty(empty_set) = 0 & $i(empty_set) % 78.55/11.67 % 78.55/11.67 (fc5_relat_1) % 78.55/11.68 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty(v0) = v1) | ~ $i(v0) | ? % 78.55/11.68 [v2: any] : ? [v3: $i] : ? [v4: any] : (relation_dom(v0) = v3 & % 78.55/11.68 relation(v0) = v2 & empty(v3) = v4 & $i(v3) & ( ~ (v4 = 0) | ~ (v2 = % 78.55/11.68 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ (relation_dom(v0) = v1) | ~ % 78.55/11.68 $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (relation(v0) = v3 & % 78.55/11.68 empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | v2 = 0))) & % 78.55/11.68 ! [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] % 78.55/11.68 : ? [v3: any] : (relation_dom(v0) = v2 & empty(v2) = v3 & empty(v0) = v1 & % 78.55/11.68 $i(v2) & ( ~ (v3 = 0) | v1 = 0))) % 78.55/11.68 % 78.55/11.68 (fc7_relat_1) % 78.55/11.68 ! [v0: $i] : ! [v1: $i] : ( ~ (relation_dom(v0) = v1) | ~ $i(v0) | ? [v2: % 78.55/11.68 any] : ? [v3: any] : ? [v4: any] : (relation(v1) = v4 & empty(v1) = v3 & % 78.55/11.68 empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0: $i] : ( ~ % 78.55/11.68 (empty(v0) = 0) | ~ $i(v0) | ? [v1: $i] : (relation_dom(v0) = v1 & % 78.55/11.68 relation(v1) = 0 & empty(v1) = 0 & $i(v1))) % 78.55/11.68 % 78.55/11.68 (fc9_relat_1) % 78.55/11.68 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_composition(v0, v1) = % 78.55/11.68 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 78.55/11.68 ? [v6: any] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & % 78.55/11.68 empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) % 78.55/11.68 % 78.55/11.68 (rc1_funct_1) % 78.55/11.68 ? [v0: $i] : (relation(v0) = 0 & function(v0) = 0 & $i(v0)) % 78.55/11.68 % 78.55/11.68 (rc1_relat_1) % 78.55/11.68 ? [v0: $i] : (relation(v0) = 0 & empty(v0) = 0 & $i(v0)) % 78.55/11.68 % 78.55/11.68 (rc1_xboole_0) % 78.55/11.68 ? [v0: $i] : (empty(v0) = 0 & $i(v0)) % 78.55/11.68 % 78.55/11.68 (rc2_relat_1) % 78.55/11.68 ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & relation(v0) = 0 & empty(v0) = v1 % 78.55/11.68 & $i(v0)) % 78.55/11.68 % 78.55/11.68 (rc3_relat_1) % 78.55/11.68 ? [v0: $i] : (relation_empty_yielding(v0) = 0 & relation(v0) = 0 & $i(v0)) % 78.55/11.68 % 78.55/11.68 (t23_funct_1) % 78.55/11.69 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (relation_dom(v1) % 78.55/11.69 = v2) | ~ (in(v0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? % 78.55/11.69 [v5: any] : ? [v6: $i] : (apply(v1, v0) = v6 & relation(v1) = v4 & % 78.55/11.69 function(v1) = v5 & $i(v6) & ( ~ (v5 = 0) | ~ (v4 = 0) | ( ! [v7: $i] : % 78.55/11.69 ! [v8: $i] : ( ~ (v3 = 0) | ~ (apply(v7, v6) = v8) | ~ $i(v7) | ? % 78.55/11.69 [v9: any] : ? [v10: any] : ? [v11: $i] : ? [v12: $i] : % 78.55/11.69 (apply(v11, v0) = v12 & relation_composition(v1, v7) = v11 & % 78.55/11.69 relation(v7) = v9 & function(v7) = v10 & $i(v12) & $i(v11) & ( ~ % 78.55/11.69 (v10 = 0) | ~ (v9 = 0) | v12 = v8))) & ! [v7: $i] : ! [v8: % 78.55/11.69 $i] : ( ~ (v3 = 0) | ~ (relation_composition(v1, v7) = v8) | ~ % 78.55/11.69 $i(v7) | ? [v9: any] : ? [v10: any] : ? [v11: $i] : ? [v12: $i] % 78.55/11.69 : (apply(v8, v0) = v11 & apply(v7, v6) = v12 & relation(v7) = v9 & % 78.55/11.69 function(v7) = v10 & $i(v12) & $i(v11) & ( ~ (v10 = 0) | ~ (v9 = % 78.55/11.69 0) | v12 = v11))) & ! [v7: $i] : ( ~ (v3 = 0) | ~ % 78.55/11.69 (relation(v7) = 0) | ~ $i(v7) | ? [v8: any] : ? [v9: $i] : ? % 78.55/11.69 [v10: $i] : ? [v11: $i] : (apply(v9, v0) = v10 & apply(v7, v6) = % 78.55/11.69 v11 & relation_composition(v1, v7) = v9 & function(v7) = v8 & % 78.55/11.69 $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | v11 = v10))) & ! [v7: % 78.55/11.69 $i] : ( ~ (v3 = 0) | ~ (function(v7) = 0) | ~ $i(v7) | ? [v8: % 78.55/11.69 any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : (apply(v9, v0) % 78.55/11.69 = v10 & apply(v7, v6) = v11 & relation_composition(v1, v7) = v9 & % 78.55/11.69 relation(v7) = v8 & $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | % 78.55/11.69 v11 = v10))))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 78.55/11.69 (apply(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 78.55/11.69 ? [v5: $i] : ? [v6: any] : (relation_dom(v1) = v5 & relation(v1) = v3 & % 78.55/11.69 function(v1) = v4 & in(v0, v5) = v6 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) % 78.55/11.69 | ( ! [v7: $i] : ! [v8: $i] : ( ~ (v6 = 0) | ~ (apply(v7, v2) = v8) | % 78.55/11.69 ~ $i(v7) | ? [v9: any] : ? [v10: any] : ? [v11: $i] : ? [v12: % 78.55/11.69 $i] : (apply(v11, v0) = v12 & relation_composition(v1, v7) = v11 & % 78.55/11.69 relation(v7) = v9 & function(v7) = v10 & $i(v12) & $i(v11) & ( ~ % 78.55/11.69 (v10 = 0) | ~ (v9 = 0) | v12 = v8))) & ! [v7: $i] : ! [v8: % 78.55/11.69 $i] : ( ~ (v6 = 0) | ~ (relation_composition(v1, v7) = v8) | ~ % 78.55/11.69 $i(v7) | ? [v9: any] : ? [v10: any] : ? [v11: $i] : ? [v12: $i] % 78.55/11.69 : (apply(v8, v0) = v11 & apply(v7, v2) = v12 & relation(v7) = v9 & % 78.55/11.69 function(v7) = v10 & $i(v12) & $i(v11) & ( ~ (v10 = 0) | ~ (v9 = % 78.55/11.69 0) | v12 = v11))) & ! [v7: $i] : ( ~ (v6 = 0) | ~ % 78.55/11.69 (relation(v7) = 0) | ~ $i(v7) | ? [v8: any] : ? [v9: $i] : ? % 78.55/11.69 [v10: $i] : ? [v11: $i] : (apply(v9, v0) = v10 & apply(v7, v2) = % 78.55/11.69 v11 & relation_composition(v1, v7) = v9 & function(v7) = v8 & % 78.55/11.69 $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | v11 = v10))) & ! [v7: % 78.55/11.69 $i] : ( ~ (v6 = 0) | ~ (function(v7) = 0) | ~ $i(v7) | ? [v8: % 78.55/11.69 any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : (apply(v9, v0) % 78.55/11.69 = v10 & apply(v7, v2) = v11 & relation_composition(v1, v7) = v9 & % 78.55/11.69 relation(v7) = v8 & $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | % 78.55/11.69 v11 = v10))))))) % 78.55/11.69 % 78.55/11.69 (t34_funct_1) % 78.55/11.70 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 % 78.55/11.70 | ~ (apply(v1, v3) = v4) | ~ (relation_dom(v1) = v2) | ~ % 78.55/11.70 (identity_relation(v0) = v1) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ? [v5: % 78.55/11.70 int] : ? [v6: any] : (( ~ (v5 = 0) & in(v3, v0) = v5) | (relation(v1) = % 78.55/11.70 v5 & function(v1) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0))))) & ! [v0: $i] : % 78.55/11.70 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (relation_dom(v1) = v2) | ~ % 78.55/11.70 (identity_relation(v0) = v1) | ~ (in(v3, v0) = 0) | ~ $i(v3) | ~ $i(v1) | % 78.55/11.70 ~ $i(v0) | ? [v4: any] : ? [v5: any] : ((v4 = v3 & apply(v1, v3) = v3) | % 78.55/11.70 (relation(v1) = v4 & function(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & % 78.55/11.70 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ (relation_dom(v1) = v0) % 78.55/11.70 | ~ (identity_relation(v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : % 78.55/11.70 ? [v4: any] : ? [v5: $i] : ? [v6: int] : ? [v7: $i] : ($i(v5) & ((v6 = 0 % 78.55/11.70 & ~ (v7 = v5) & apply(v1, v5) = v7 & in(v5, v0) = 0 & $i(v7)) | % 78.55/11.70 (relation(v1) = v3 & function(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0)))))) % 78.55/11.70 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ (relation_dom(v1) = % 78.55/11.70 v2) | ~ (identity_relation(v0) = v1) | ~ $i(v1) | ~ $i(v0) | ? [v3: % 78.55/11.70 any] : ? [v4: any] : (relation(v1) = v3 & function(v1) = v4 & ( ~ (v4 = % 78.55/11.70 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 78.55/11.70 (identity_relation(v0) = v2) | ~ (relation(v1) = 0) | ~ $i(v1) | ~ $i(v0) % 78.55/11.70 | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: int] : ? [v7: $i] : % 78.55/11.70 (relation_dom(v1) = v4 & function(v1) = v3 & $i(v5) & $i(v4) & ( ~ (v3 = 0) % 78.55/11.70 | (( ~ (v4 = v0) | v2 = v1 | (v6 = 0 & ~ (v7 = v5) & apply(v1, v5) = v7 % 78.55/11.70 & in(v5, v0) = 0 & $i(v7))) & ( ~ (v2 = v1) | (v4 = v0 & ! [v8: % 78.55/11.70 $i] : ! [v9: $i] : (v9 = v8 | ~ (apply(v1, v8) = v9) | ~ % 78.55/11.70 $i(v8) | ? [v10: int] : ( ~ (v10 = 0) & in(v8, v0) = v10)) & ! % 78.55/11.70 [v8: $i] : ( ~ (in(v8, v0) = 0) | ~ $i(v8) | apply(v1, v8) = % 78.55/11.70 v8))))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 78.55/11.70 (identity_relation(v0) = v2) | ~ (function(v1) = 0) | ~ $i(v1) | ~ $i(v0) % 78.55/11.70 | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: int] : ? [v7: $i] : % 78.55/11.70 (relation_dom(v1) = v4 & relation(v1) = v3 & $i(v5) & $i(v4) & ( ~ (v3 = 0) % 78.55/11.70 | (( ~ (v4 = v0) | v2 = v1 | (v6 = 0 & ~ (v7 = v5) & apply(v1, v5) = v7 % 78.55/11.70 & in(v5, v0) = 0 & $i(v7))) & ( ~ (v2 = v1) | (v4 = v0 & ! [v8: % 78.55/11.70 $i] : ! [v9: $i] : (v9 = v8 | ~ (apply(v1, v8) = v9) | ~ % 78.55/11.70 $i(v8) | ? [v10: int] : ( ~ (v10 = 0) & in(v8, v0) = v10)) & ! % 78.55/11.70 [v8: $i] : ( ~ (in(v8, v0) = 0) | ~ $i(v8) | apply(v1, v8) = % 78.55/11.70 v8))))))) % 78.55/11.70 % 78.55/11.70 (t38_funct_1) % 78.55/11.70 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 78.55/11.70 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ( ~ (v8 = v5) & apply(v7, % 78.55/11.70 v1) = v8 & apply(v2, v1) = v5 & relation_dom(v2) = v3 & % 78.55/11.70 identity_relation(v0) = v6 & relation_composition(v6, v2) = v7 & % 78.55/11.70 set_intersection2(v3, v0) = v4 & relation(v2) = 0 & function(v2) = 0 & % 78.55/11.70 in(v1, v4) = 0 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & % 78.55/11.70 $i(v2) & $i(v1) & $i(v0)) % 78.55/11.70 % 78.55/11.70 (t3_subset) % 78.55/11.70 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 78.55/11.70 (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ? % 78.55/11.70 [v4: int] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0: $i] : ! [v1: $i] % 78.55/11.70 : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 78.55/11.70 ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & powerset(v1) = v3 & element(v0, % 78.55/11.70 v3) = v4 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 78.55/11.70 (powerset(v1) = v2) | ~ (element(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0) | % 78.55/11.70 subset(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ( ~ (subset(v0, v1) = 0) | % 78.55/11.70 ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : (powerset(v1) = v2 & element(v0, v2) = % 78.55/11.70 0 & $i(v2))) % 78.55/11.71 % 78.55/11.71 (t5_subset) % 78.55/11.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (powerset(v2) = % 78.55/11.71 v3) | ~ (element(v1, v3) = 0) | ~ (in(v0, v1) = 0) | ~ $i(v2) | ~ % 78.55/11.71 $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & empty(v2) = v4)) & ! % 78.55/11.71 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (empty(v2) = 0) | ~ (in(v0, v1) = % 78.55/11.71 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ % 78.55/11.71 (v4 = 0) & powerset(v2) = v3 & element(v1, v3) = v4 & $i(v3))) % 78.55/11.71 % 78.55/11.71 (t6_boole) % 78.55/11.71 $i(empty_set) & ! [v0: $i] : (v0 = empty_set | ~ (empty(v0) = 0) | ~ % 78.55/11.71 $i(v0)) % 78.55/11.71 % 78.55/11.71 (t8_boole) % 78.55/11.71 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0) % 78.55/11.71 | ~ $i(v1) | ~ $i(v0)) % 78.55/11.71 % 78.55/11.71 (function-axioms) % 78.55/11.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 78.55/11.71 (apply(v3, v2) = v1) | ~ (apply(v3, v2) = v0)) & ! [v0: MultipleValueBool] % 78.55/11.71 : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 78.55/11.71 (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0: % 78.55/11.71 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 78.55/11.71 : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) & ! [v0: % 78.55/11.71 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 78.55/11.71 (relation_composition(v3, v2) = v1) | ~ (relation_composition(v3, v2) = % 78.55/11.71 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 78.55/11.71 ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) & % 78.55/11.71 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 78.55/11.71 $i] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0: $i] % 78.55/11.71 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ % 78.55/11.71 (relation_dom(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 78.55/11.71 v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) & ! [v0: % 78.55/11.71 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 78.55/11.71 ~ (relation_empty_yielding(v2) = v1) | ~ (relation_empty_yielding(v2) = % 78.55/11.71 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 78.55/11.71 (identity_relation(v2) = v1) | ~ (identity_relation(v2) = v0)) & ! [v0: % 78.55/11.71 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 78.55/11.71 ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) & ! [v0: MultipleValueBool] % 78.55/11.71 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (function(v2) = v1) % 78.55/11.71 | ~ (function(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.55/11.71 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (empty(v2) = v1) | ~ % 78.55/11.71 (empty(v2) = v0)) % 78.55/11.71 % 78.55/11.71 Further assumptions not needed in the proof: % 78.55/11.71 -------------------------------------------- % 78.55/11.71 antisymmetry_r2_hidden, dt_k6_relat_1, existence_m1_subset_1, fc12_relat_1, % 78.55/11.71 fc1_relat_1, fc1_xboole_0, idempotence_k3_xboole_0, rc1_subset_1, rc2_subset_1, % 78.55/11.71 rc2_xboole_0, reflexivity_r1_tarski, t1_subset, t2_boole, t2_subset, t4_subset, % 78.55/11.71 t7_boole % 78.55/11.71 % 78.55/11.71 Those formulas are unsatisfiable: % 78.55/11.71 --------------------------------- % 78.55/11.71 % 78.55/11.71 Begin of proof % 78.55/11.71 | % 78.55/11.71 | ALPHA: (cc1_funct_1) implies: % 78.55/11.71 | (1) ! [v0: $i] : ( ~ (empty(v0) = 0) | ~ $i(v0) | function(v0) = 0) % 78.55/11.71 | % 78.55/11.71 | ALPHA: (cc1_relat_1) implies: % 78.55/11.72 | (2) ! [v0: $i] : ( ~ (empty(v0) = 0) | ~ $i(v0) | relation(v0) = 0) % 78.55/11.72 | % 78.55/11.72 | ALPHA: (commutativity_k3_xboole_0) implies: % 78.55/11.72 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_intersection2(v1, % 78.55/11.72 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | (set_intersection2(v0, v1) = % 78.55/11.72 | v2 & $i(v2))) % 78.55/11.72 | % 78.55/11.72 | ALPHA: (d3_xboole_0) implies: % 78.55/11.72 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 78.55/11.72 | (set_intersection2(v0, v1) = v2) | ~ (in(v3, v2) = 0) | ~ $i(v3) | % 78.55/11.72 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | (in(v3, v1) = 0 & in(v3, v0) = 0)) % 78.55/11.72 | % 78.55/11.72 | ALPHA: (fc2_funct_1) implies: % 78.55/11.72 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) = v1) | ~ % 78.55/11.72 | $i(v0) | function(v1) = 0) % 78.55/11.72 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) = v1) | ~ % 78.55/11.72 | $i(v0) | relation(v1) = 0) % 78.55/11.72 | % 78.55/11.72 | ALPHA: (fc4_relat_1) implies: % 78.55/11.72 | (7) empty(empty_set) = 0 % 78.55/11.72 | (8) relation(empty_set) = 0 % 78.55/11.72 | % 78.55/11.72 | ALPHA: (fc5_relat_1) implies: % 78.55/11.72 | (9) ! [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 78.55/11.72 | [v2: $i] : ? [v3: any] : (relation_dom(v0) = v2 & empty(v2) = v3 & % 78.55/11.72 | empty(v0) = v1 & $i(v2) & ( ~ (v3 = 0) | v1 = 0))) % 78.55/11.72 | (10) ! [v0: $i] : ! [v1: $i] : ( ~ (relation_dom(v0) = v1) | ~ $i(v0) | % 78.55/11.72 | ? [v2: any] : ? [v3: any] : ? [v4: any] : (relation(v0) = v3 & % 78.55/11.72 | empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | v2 % 78.55/11.72 | = 0))) % 78.55/11.72 | (11) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty(v0) = v1) | ~ $i(v0) % 78.55/11.72 | | ? [v2: any] : ? [v3: $i] : ? [v4: any] : (relation_dom(v0) = v3 % 78.55/11.72 | & relation(v0) = v2 & empty(v3) = v4 & $i(v3) & ( ~ (v4 = 0) | ~ % 78.55/11.72 | (v2 = 0)))) % 78.55/11.72 | % 78.55/11.72 | ALPHA: (fc7_relat_1) implies: % 78.55/11.72 | (12) ! [v0: $i] : ( ~ (empty(v0) = 0) | ~ $i(v0) | ? [v1: $i] : % 78.55/11.72 | (relation_dom(v0) = v1 & relation(v1) = 0 & empty(v1) = 0 & $i(v1))) % 78.55/11.72 | % 78.55/11.72 | ALPHA: (t23_funct_1) implies: % 78.55/11.72 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (apply(v1, v0) = v2) | % 78.55/11.72 | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 78.55/11.72 | ? [v6: any] : (relation_dom(v1) = v5 & relation(v1) = v3 & % 78.55/11.73 | function(v1) = v4 & in(v0, v5) = v6 & $i(v5) & ( ~ (v4 = 0) | ~ % 78.55/11.73 | (v3 = 0) | ( ! [v7: $i] : ! [v8: $i] : ( ~ (v6 = 0) | ~ % 78.55/11.73 | (apply(v7, v2) = v8) | ~ $i(v7) | ? [v9: any] : ? [v10: % 78.55/11.73 | any] : ? [v11: $i] : ? [v12: $i] : (apply(v11, v0) = v12 % 78.55/11.73 | & relation_composition(v1, v7) = v11 & relation(v7) = v9 & % 78.55/11.73 | function(v7) = v10 & $i(v12) & $i(v11) & ( ~ (v10 = 0) | % 78.55/11.73 | ~ (v9 = 0) | v12 = v8))) & ! [v7: $i] : ! [v8: $i] : ( % 78.55/11.73 | ~ (v6 = 0) | ~ (relation_composition(v1, v7) = v8) | ~ % 78.55/11.73 | $i(v7) | ? [v9: any] : ? [v10: any] : ? [v11: $i] : ? % 78.55/11.73 | [v12: $i] : (apply(v8, v0) = v11 & apply(v7, v2) = v12 & % 78.55/11.73 | relation(v7) = v9 & function(v7) = v10 & $i(v12) & $i(v11) % 78.55/11.73 | & ( ~ (v10 = 0) | ~ (v9 = 0) | v12 = v11))) & ! [v7: $i] % 78.55/11.73 | : ( ~ (v6 = 0) | ~ (relation(v7) = 0) | ~ $i(v7) | ? [v8: % 78.55/11.73 | any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : % 78.55/11.73 | (apply(v9, v0) = v10 & apply(v7, v2) = v11 & % 78.55/11.73 | relation_composition(v1, v7) = v9 & function(v7) = v8 & % 78.55/11.73 | $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | v11 = v10))) & % 78.55/11.73 | ! [v7: $i] : ( ~ (v6 = 0) | ~ (function(v7) = 0) | ~ $i(v7) % 78.55/11.73 | | ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : % 78.55/11.73 | (apply(v9, v0) = v10 & apply(v7, v2) = v11 & % 78.55/11.73 | relation_composition(v1, v7) = v9 & relation(v7) = v8 & % 78.55/11.73 | $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | v11 = % 78.55/11.73 | v10))))))) % 78.55/11.73 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 78.55/11.73 | (relation_dom(v1) = v2) | ~ (in(v0, v2) = v3) | ~ $i(v1) | ~ % 78.55/11.73 | $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: $i] : (apply(v1, v0) % 78.55/11.73 | = v6 & relation(v1) = v4 & function(v1) = v5 & $i(v6) & ( ~ (v5 = % 78.55/11.73 | 0) | ~ (v4 = 0) | ( ! [v7: $i] : ! [v8: $i] : ( ~ (v3 = 0) | % 78.55/11.73 | ~ (apply(v7, v6) = v8) | ~ $i(v7) | ? [v9: any] : ? % 78.55/11.73 | [v10: any] : ? [v11: $i] : ? [v12: $i] : (apply(v11, v0) = % 78.55/11.73 | v12 & relation_composition(v1, v7) = v11 & relation(v7) = % 78.55/11.73 | v9 & function(v7) = v10 & $i(v12) & $i(v11) & ( ~ (v10 = % 78.55/11.73 | 0) | ~ (v9 = 0) | v12 = v8))) & ! [v7: $i] : ! [v8: % 78.55/11.73 | $i] : ( ~ (v3 = 0) | ~ (relation_composition(v1, v7) = v8) % 78.55/11.73 | | ~ $i(v7) | ? [v9: any] : ? [v10: any] : ? [v11: $i] : % 78.55/11.73 | ? [v12: $i] : (apply(v8, v0) = v11 & apply(v7, v6) = v12 & % 78.55/11.73 | relation(v7) = v9 & function(v7) = v10 & $i(v12) & $i(v11) % 78.55/11.73 | & ( ~ (v10 = 0) | ~ (v9 = 0) | v12 = v11))) & ! [v7: $i] % 78.55/11.73 | : ( ~ (v3 = 0) | ~ (relation(v7) = 0) | ~ $i(v7) | ? [v8: % 78.55/11.73 | any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : % 78.55/11.73 | (apply(v9, v0) = v10 & apply(v7, v6) = v11 & % 78.55/11.73 | relation_composition(v1, v7) = v9 & function(v7) = v8 & % 78.55/11.73 | $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | v11 = v10))) & % 78.55/11.73 | ! [v7: $i] : ( ~ (v3 = 0) | ~ (function(v7) = 0) | ~ $i(v7) % 78.55/11.73 | | ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : % 78.55/11.73 | (apply(v9, v0) = v10 & apply(v7, v6) = v11 & % 78.55/11.73 | relation_composition(v1, v7) = v9 & relation(v7) = v8 & % 78.55/11.73 | $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | v11 = % 78.55/11.73 | v10))))))) % 78.55/11.73 | % 78.55/11.73 | ALPHA: (t34_funct_1) implies: % 78.55/11.73 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (identity_relation(v0) = % 78.55/11.73 | v2) | ~ (function(v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] % 78.55/11.73 | : ? [v4: $i] : ? [v5: $i] : ? [v6: int] : ? [v7: $i] : % 78.55/11.73 | (relation_dom(v1) = v4 & relation(v1) = v3 & $i(v5) & $i(v4) & ( ~ % 78.55/11.73 | (v3 = 0) | (( ~ (v4 = v0) | v2 = v1 | (v6 = 0 & ~ (v7 = v5) & % 78.55/11.73 | apply(v1, v5) = v7 & in(v5, v0) = 0 & $i(v7))) & ( ~ (v2 = % 78.55/11.73 | v1) | (v4 = v0 & ! [v8: $i] : ! [v9: $i] : (v9 = v8 | ~ % 78.55/11.73 | (apply(v1, v8) = v9) | ~ $i(v8) | ? [v10: int] : ( ~ % 78.55/11.73 | (v10 = 0) & in(v8, v0) = v10)) & ! [v8: $i] : ( ~ % 78.55/11.73 | (in(v8, v0) = 0) | ~ $i(v8) | apply(v1, v8) = v8))))))) % 78.55/11.73 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (identity_relation(v0) = % 78.55/11.73 | v2) | ~ (relation(v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] % 78.55/11.73 | : ? [v4: $i] : ? [v5: $i] : ? [v6: int] : ? [v7: $i] : % 78.55/11.73 | (relation_dom(v1) = v4 & function(v1) = v3 & $i(v5) & $i(v4) & ( ~ % 78.55/11.73 | (v3 = 0) | (( ~ (v4 = v0) | v2 = v1 | (v6 = 0 & ~ (v7 = v5) & % 78.55/11.73 | apply(v1, v5) = v7 & in(v5, v0) = 0 & $i(v7))) & ( ~ (v2 = % 78.55/11.74 | v1) | (v4 = v0 & ! [v8: $i] : ! [v9: $i] : (v9 = v8 | ~ % 78.55/11.74 | (apply(v1, v8) = v9) | ~ $i(v8) | ? [v10: int] : ( ~ % 78.55/11.74 | (v10 = 0) & in(v8, v0) = v10)) & ! [v8: $i] : ( ~ % 78.55/11.74 | (in(v8, v0) = 0) | ~ $i(v8) | apply(v1, v8) = v8))))))) % 78.55/11.74 | % 78.55/11.74 | ALPHA: (t3_subset) implies: % 78.93/11.74 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 78.93/11.74 | (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ~ $i(v1) | ~ % 78.93/11.74 | $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) % 78.93/11.74 | % 78.93/11.74 | ALPHA: (t5_subset) implies: % 78.93/11.74 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (empty(v2) = 0) | ~ % 78.93/11.74 | (in(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : % 78.93/11.74 | ? [v4: int] : ( ~ (v4 = 0) & powerset(v2) = v3 & element(v1, v3) = % 78.93/11.74 | v4 & $i(v3))) % 78.93/11.74 | % 78.93/11.74 | ALPHA: (t6_boole) implies: % 78.93/11.74 | (19) $i(empty_set) % 78.93/11.74 | (20) ! [v0: $i] : (v0 = empty_set | ~ (empty(v0) = 0) | ~ $i(v0)) % 78.93/11.74 | % 78.93/11.74 | ALPHA: (function-axioms) implies: % 78.93/11.74 | (21) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 78.93/11.74 | : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) % 78.93/11.74 | (22) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 78.93/11.74 | : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0)) % 78.93/11.74 | (23) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 78.93/11.74 | : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) % 78.93/11.74 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (powerset(v2) % 78.93/11.74 | = v1) | ~ (powerset(v2) = v0)) % 78.93/11.74 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 78.93/11.74 | (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0)) % 78.93/11.74 | (26) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 78.93/11.74 | : ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = % 78.93/11.74 | v0)) % 78.93/11.74 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 78.93/11.74 | (relation_composition(v3, v2) = v1) | ~ (relation_composition(v3, % 78.93/11.74 | v2) = v0)) % 78.93/11.74 | (28) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 78.93/11.74 | : ! [v3: $i] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, % 78.93/11.74 | v2) = v0)) % 78.93/11.74 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 78.93/11.74 | (apply(v3, v2) = v1) | ~ (apply(v3, v2) = v0)) % 78.93/11.74 | % 78.93/11.74 | DELTA: instantiating (rc1_xboole_0) with fresh symbol all_34_0 gives: % 78.93/11.74 | (30) empty(all_34_0) = 0 & $i(all_34_0) % 78.93/11.74 | % 78.93/11.74 | ALPHA: (30) implies: % 78.93/11.74 | (31) $i(all_34_0) % 78.93/11.74 | (32) empty(all_34_0) = 0 % 78.93/11.74 | % 78.93/11.74 | DELTA: instantiating (rc1_funct_1) with fresh symbol all_36_0 gives: % 78.93/11.74 | (33) relation(all_36_0) = 0 & function(all_36_0) = 0 & $i(all_36_0) % 78.93/11.74 | % 78.93/11.74 | ALPHA: (33) implies: % 78.93/11.74 | (34) $i(all_36_0) % 78.93/11.74 | (35) function(all_36_0) = 0 % 78.93/11.74 | (36) relation(all_36_0) = 0 % 78.93/11.74 | % 78.93/11.74 | DELTA: instantiating (rc1_relat_1) with fresh symbol all_39_0 gives: % 78.93/11.74 | (37) relation(all_39_0) = 0 & empty(all_39_0) = 0 & $i(all_39_0) % 78.93/11.74 | % 78.93/11.74 | ALPHA: (37) implies: % 78.93/11.74 | (38) $i(all_39_0) % 78.93/11.74 | (39) empty(all_39_0) = 0 % 78.93/11.74 | (40) relation(all_39_0) = 0 % 78.93/11.74 | % 78.93/11.74 | DELTA: instantiating (rc3_relat_1) with fresh symbol all_41_0 gives: % 78.93/11.74 | (41) relation_empty_yielding(all_41_0) = 0 & relation(all_41_0) = 0 & % 78.93/11.74 | $i(all_41_0) % 78.93/11.74 | % 78.93/11.74 | ALPHA: (41) implies: % 78.93/11.74 | (42) $i(all_41_0) % 78.93/11.74 | (43) relation(all_41_0) = 0 % 78.93/11.74 | % 78.93/11.75 | DELTA: instantiating (rc2_relat_1) with fresh symbols all_45_0, all_45_1 % 78.93/11.75 | gives: % 78.93/11.75 | (44) ~ (all_45_0 = 0) & relation(all_45_1) = 0 & empty(all_45_1) = % 78.93/11.75 | all_45_0 & $i(all_45_1) % 78.93/11.75 | % 78.93/11.75 | ALPHA: (44) implies: % 78.93/11.75 | (45) ~ (all_45_0 = 0) % 78.93/11.75 | (46) $i(all_45_1) % 78.93/11.75 | (47) empty(all_45_1) = all_45_0 % 78.93/11.75 | (48) relation(all_45_1) = 0 % 78.93/11.75 | % 78.93/11.75 | DELTA: instantiating (t38_funct_1) with fresh symbols all_49_0, all_49_1, % 78.93/11.75 | all_49_2, all_49_3, all_49_4, all_49_5, all_49_6, all_49_7, all_49_8 % 78.93/11.75 | gives: % 78.93/11.75 | (49) ~ (all_49_0 = all_49_3) & apply(all_49_1, all_49_7) = all_49_0 & % 78.93/11.75 | apply(all_49_6, all_49_7) = all_49_3 & relation_dom(all_49_6) = % 78.93/11.75 | all_49_5 & identity_relation(all_49_8) = all_49_2 & % 78.93/11.75 | relation_composition(all_49_2, all_49_6) = all_49_1 & % 78.93/11.75 | set_intersection2(all_49_5, all_49_8) = all_49_4 & relation(all_49_6) % 78.93/11.75 | = 0 & function(all_49_6) = 0 & in(all_49_7, all_49_4) = 0 & % 78.93/11.75 | $i(all_49_0) & $i(all_49_1) & $i(all_49_2) & $i(all_49_3) & % 78.93/11.75 | $i(all_49_4) & $i(all_49_5) & $i(all_49_6) & $i(all_49_7) & % 78.93/11.75 | $i(all_49_8) % 78.93/11.75 | % 78.93/11.75 | ALPHA: (49) implies: % 78.93/11.75 | (50) ~ (all_49_0 = all_49_3) % 78.93/11.75 | (51) $i(all_49_8) % 78.93/11.75 | (52) $i(all_49_7) % 78.93/11.75 | (53) $i(all_49_6) % 78.93/11.75 | (54) $i(all_49_5) % 78.93/11.75 | (55) $i(all_49_4) % 78.93/11.75 | (56) $i(all_49_3) % 78.93/11.75 | (57) $i(all_49_2) % 78.93/11.75 | (58) $i(all_49_1) % 78.93/11.75 | (59) in(all_49_7, all_49_4) = 0 % 78.93/11.75 | (60) function(all_49_6) = 0 % 78.93/11.75 | (61) relation(all_49_6) = 0 % 78.93/11.75 | (62) set_intersection2(all_49_5, all_49_8) = all_49_4 % 78.93/11.75 | (63) relation_composition(all_49_2, all_49_6) = all_49_1 % 78.93/11.75 | (64) identity_relation(all_49_8) = all_49_2 % 78.93/11.75 | (65) relation_dom(all_49_6) = all_49_5 % 78.93/11.75 | (66) apply(all_49_6, all_49_7) = all_49_3 % 78.93/11.75 | (67) apply(all_49_1, all_49_7) = all_49_0 % 78.93/11.75 | % 78.93/11.75 | GROUND_INST: instantiating (18) with all_49_7, all_49_4, empty_set, % 78.93/11.75 | simplifying with (7), (19), (52), (55), (59) gives: % 78.93/11.75 | (68) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & powerset(empty_set) = v0 & % 78.93/11.75 | element(all_49_4, v0) = v1 & $i(v0)) % 78.93/11.75 | % 78.93/11.75 | GROUND_INST: instantiating (12) with empty_set, simplifying with (7), (19) % 78.93/11.75 | gives: % 78.93/11.75 | (69) ? [v0: $i] : (relation_dom(empty_set) = v0 & relation(v0) = 0 & % 78.93/11.75 | empty(v0) = 0 & $i(v0)) % 78.93/11.75 | % 78.93/11.75 | GROUND_INST: instantiating (18) with all_49_7, all_49_4, all_34_0, simplifying % 78.93/11.75 | with (31), (32), (52), (55), (59) gives: % 78.93/11.75 | (70) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & powerset(all_34_0) = v0 & % 78.93/11.75 | element(all_49_4, v0) = v1 & $i(v0)) % 78.93/11.75 | % 78.93/11.75 | GROUND_INST: instantiating (2) with all_34_0, simplifying with (31), (32) % 78.93/11.75 | gives: % 78.93/11.76 | (71) relation(all_34_0) = 0 % 78.93/11.76 | % 78.93/11.76 | GROUND_INST: instantiating (1) with all_34_0, simplifying with (31), (32) % 78.93/11.76 | gives: % 78.93/11.76 | (72) function(all_34_0) = 0 % 78.93/11.76 | % 78.93/11.76 | GROUND_INST: instantiating (12) with all_34_0, simplifying with (31), (32) % 78.93/11.76 | gives: % 78.93/11.76 | (73) ? [v0: $i] : (relation_dom(all_34_0) = v0 & relation(v0) = 0 & % 78.93/11.76 | empty(v0) = 0 & $i(v0)) % 78.93/11.76 | % 78.93/11.76 | GROUND_INST: instantiating (18) with all_49_7, all_49_4, all_39_0, simplifying % 78.93/11.76 | with (38), (39), (52), (55), (59) gives: % 78.93/11.76 | (74) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & powerset(all_39_0) = v0 & % 78.93/11.76 | element(all_49_4, v0) = v1 & $i(v0)) % 78.93/11.76 | % 78.93/11.76 | GROUND_INST: instantiating (t8_boole) with all_34_0, all_39_0, simplifying % 78.93/11.76 | with (31), (32), (38), (39) gives: % 78.93/11.76 | (75) all_39_0 = all_34_0 % 78.93/11.76 | % 78.93/11.76 | GROUND_INST: instantiating (20) with all_39_0, simplifying with (38), (39) % 78.93/11.76 | gives: % 78.93/11.76 | (76) all_39_0 = empty_set % 78.93/11.76 | % 78.93/11.76 | GROUND_INST: instantiating (12) with all_39_0, simplifying with (38), (39) % 78.93/11.76 | gives: % 78.93/11.76 | (77) ? [v0: $i] : (relation_dom(all_39_0) = v0 & relation(v0) = 0 & % 78.93/11.76 | empty(v0) = 0 & $i(v0)) % 78.93/11.76 | % 78.93/11.76 | GROUND_INST: instantiating (11) with all_45_1, all_45_0, simplifying with % 78.93/11.76 | (46), (47) gives: % 78.93/11.76 | (78) all_45_0 = 0 | ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 78.93/11.76 | (relation_dom(all_45_1) = v1 & relation(all_45_1) = v0 & empty(v1) = % 78.93/11.76 | v2 & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0))) % 78.93/11.76 | % 78.93/11.76 | GROUND_INST: instantiating (9) with empty_set, simplifying with (8), (19) % 78.93/11.76 | gives: % 78.93/11.76 | (79) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (relation_dom(empty_set) = % 78.93/11.76 | v1 & empty(v1) = v2 & empty(empty_set) = v0 & $i(v1) & ( ~ (v2 = 0) % 78.93/11.76 | | v0 = 0)) % 78.93/11.76 | % 78.93/11.76 | GROUND_INST: instantiating (9) with all_39_0, simplifying with (38), (40) % 78.93/11.76 | gives: % 78.93/11.76 | (80) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (relation_dom(all_39_0) = % 78.93/11.76 | v1 & empty(v1) = v2 & empty(all_39_0) = v0 & $i(v1) & ( ~ (v2 = 0) | % 78.93/11.76 | v0 = 0)) % 78.93/11.76 | % 78.93/11.76 | GROUND_INST: instantiating (9) with all_49_6, simplifying with (53), (61) % 78.93/11.76 | gives: % 78.93/11.76 | (81) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (relation_dom(all_49_6) = % 78.93/11.76 | v1 & empty(v1) = v2 & empty(all_49_6) = v0 & $i(v1) & ( ~ (v2 = 0) | % 78.93/11.76 | v0 = 0)) % 78.93/11.76 | % 78.93/11.76 | GROUND_INST: instantiating (4) with all_49_5, all_49_8, all_49_4, all_49_7, % 78.93/11.76 | simplifying with (51), (52), (54), (55), (59), (62) gives: % 78.93/11.76 | (82) in(all_49_7, all_49_5) = 0 & in(all_49_7, all_49_8) = 0 % 78.93/11.76 | % 78.93/11.76 | ALPHA: (82) implies: % 78.93/11.76 | (83) in(all_49_7, all_49_8) = 0 % 78.93/11.76 | (84) in(all_49_7, all_49_5) = 0 % 78.93/11.76 | % 78.93/11.76 | GROUND_INST: instantiating (3) with all_49_8, all_49_5, all_49_4, simplifying % 78.93/11.76 | with (51), (54), (62) gives: % 78.93/11.76 | (85) set_intersection2(all_49_8, all_49_5) = all_49_4 & $i(all_49_4) % 78.93/11.76 | % 78.93/11.76 | GROUND_INST: instantiating (fc10_relat_1) with all_49_6, all_49_2, all_49_1, % 78.93/11.76 | simplifying with (53), (57), (63) gives: % 78.93/11.76 | (86) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 78.93/11.76 | (relation(all_49_1) = v3 & relation(all_49_2) = v1 & empty(all_49_1) = % 78.93/11.76 | v2 & empty(all_49_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = 0 & % 78.93/11.77 | v2 = 0))) % 78.93/11.77 | % 78.93/11.77 | GROUND_INST: instantiating (fc1_funct_1) with all_49_2, all_49_6, all_49_1, % 78.93/11.77 | simplifying with (53), (57), (63) gives: % 78.93/11.77 | (87) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 78.93/11.77 | any] : ? [v5: any] : (relation(all_49_1) = v4 & relation(all_49_2) % 78.93/11.77 | = v0 & relation(all_49_6) = v2 & function(all_49_1) = v5 & % 78.93/11.77 | function(all_49_2) = v1 & function(all_49_6) = v3 & ( ~ (v3 = 0) | % 78.93/11.77 | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0))) % 78.93/11.77 | % 78.93/11.77 | GROUND_INST: instantiating (fc9_relat_1) with all_49_2, all_49_6, all_49_1, % 78.93/11.77 | simplifying with (53), (57), (63) gives: % 78.93/11.77 | (88) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 78.93/11.77 | (relation(all_49_1) = v3 & relation(all_49_6) = v1 & empty(all_49_1) = % 78.93/11.77 | v2 & empty(all_49_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = 0 & % 78.93/11.77 | v2 = 0))) % 78.93/11.77 | % 78.93/11.77 | GROUND_INST: instantiating (dt_k5_relat_1) with all_49_2, all_49_6, all_49_1, % 78.93/11.77 | simplifying with (53), (57), (63) gives: % 78.93/11.77 | (89) ? [v0: any] : ? [v1: any] : ? [v2: any] : (relation(all_49_1) = v2 % 78.93/11.77 | & relation(all_49_2) = v0 & relation(all_49_6) = v1 & ( ~ (v1 = 0) | % 78.93/11.77 | ~ (v0 = 0) | v2 = 0)) % 78.93/11.77 | % 78.93/11.77 | GROUND_INST: instantiating (16) with all_49_8, all_49_6, all_49_2, simplifying % 78.93/11.77 | with (51), (53), (61), (64) gives: % 78.93/11.77 | (90) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: $i] % 78.93/11.77 | : (relation_dom(all_49_6) = v1 & function(all_49_6) = v0 & $i(v2) & % 78.93/11.77 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_49_8) | all_49_2 = all_49_6 | % 78.93/11.77 | (v3 = 0 & ~ (v4 = v2) & apply(all_49_6, v2) = v4 & in(v2, % 78.93/11.77 | all_49_8) = 0 & $i(v4))) & ( ~ (all_49_2 = all_49_6) | (v1 % 78.93/11.77 | = all_49_8 & ! [v5: $i] : ! [v6: $i] : (v6 = v5 | ~ % 78.93/11.77 | (apply(all_49_6, v5) = v6) | ~ $i(v5) | ? [v7: int] : ( % 78.93/11.77 | ~ (v7 = 0) & in(v5, all_49_8) = v7)) & ! [v5: $i] : ( ~ % 78.93/11.77 | (in(v5, all_49_8) = 0) | ~ $i(v5) | apply(all_49_6, v5) = % 78.93/11.77 | v5)))))) % 78.93/11.77 | % 78.93/11.77 | GROUND_INST: instantiating (16) with all_49_8, all_39_0, all_49_2, simplifying % 78.93/11.77 | with (38), (40), (51), (64) gives: % 78.93/11.77 | (91) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: $i] % 78.93/11.77 | : (relation_dom(all_39_0) = v1 & function(all_39_0) = v0 & $i(v2) & % 78.93/11.77 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_49_8) | all_49_2 = all_39_0 | % 78.93/11.77 | (v3 = 0 & ~ (v4 = v2) & apply(all_39_0, v2) = v4 & in(v2, % 78.93/11.77 | all_49_8) = 0 & $i(v4))) & ( ~ (all_49_2 = all_39_0) | (v1 % 78.93/11.77 | = all_49_8 & ! [v5: $i] : ! [v6: $i] : (v6 = v5 | ~ % 78.93/11.77 | (apply(all_39_0, v5) = v6) | ~ $i(v5) | ? [v7: int] : ( % 78.93/11.77 | ~ (v7 = 0) & in(v5, all_49_8) = v7)) & ! [v5: $i] : ( ~ % 78.93/11.77 | (in(v5, all_49_8) = 0) | ~ $i(v5) | apply(all_39_0, v5) = % 78.93/11.77 | v5)))))) % 78.93/11.77 | % 78.93/11.77 | GROUND_INST: instantiating (16) with all_49_8, all_36_0, all_49_2, simplifying % 78.93/11.77 | with (34), (36), (51), (64) gives: % 78.93/11.77 | (92) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: $i] % 78.93/11.77 | : (relation_dom(all_36_0) = v1 & function(all_36_0) = v0 & $i(v2) & % 78.93/11.77 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_49_8) | all_49_2 = all_36_0 | % 78.93/11.77 | (v3 = 0 & ~ (v4 = v2) & apply(all_36_0, v2) = v4 & in(v2, % 78.93/11.77 | all_49_8) = 0 & $i(v4))) & ( ~ (all_49_2 = all_36_0) | (v1 % 78.93/11.77 | = all_49_8 & ! [v5: $i] : ! [v6: $i] : (v6 = v5 | ~ % 78.93/11.77 | (apply(all_36_0, v5) = v6) | ~ $i(v5) | ? [v7: int] : ( % 78.93/11.77 | ~ (v7 = 0) & in(v5, all_49_8) = v7)) & ! [v5: $i] : ( ~ % 78.93/11.77 | (in(v5, all_49_8) = 0) | ~ $i(v5) | apply(all_36_0, v5) = % 78.93/11.77 | v5)))))) % 78.93/11.77 | % 78.93/11.77 | GROUND_INST: instantiating (16) with all_49_8, empty_set, all_49_2, % 78.93/11.77 | simplifying with (8), (19), (51), (64) gives: % 78.93/11.77 | (93) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: $i] % 78.93/11.77 | : (relation_dom(empty_set) = v1 & function(empty_set) = v0 & $i(v2) & % 78.93/11.77 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_49_8) | all_49_2 = empty_set % 78.93/11.77 | | (v3 = 0 & ~ (v4 = v2) & apply(empty_set, v2) = v4 & in(v2, % 78.93/11.77 | all_49_8) = 0 & $i(v4))) & ( ~ (all_49_2 = empty_set) | % 78.93/11.77 | (v1 = all_49_8 & ! [v5: $i] : ! [v6: $i] : (v6 = v5 | ~ % 78.93/11.77 | (apply(empty_set, v5) = v6) | ~ $i(v5) | ? [v7: int] : ( % 78.93/11.77 | ~ (v7 = 0) & in(v5, all_49_8) = v7)) & ! [v5: $i] : ( ~ % 78.93/11.77 | (in(v5, all_49_8) = 0) | ~ $i(v5) | apply(empty_set, v5) % 78.93/11.77 | = v5)))))) % 78.93/11.77 | % 78.93/11.78 | GROUND_INST: instantiating (15) with all_49_8, all_49_6, all_49_2, simplifying % 78.93/11.78 | with (51), (53), (60), (64) gives: % 78.93/11.78 | (94) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: $i] % 78.93/11.78 | : (relation_dom(all_49_6) = v1 & relation(all_49_6) = v0 & $i(v2) & % 78.93/11.78 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_49_8) | all_49_2 = all_49_6 | % 78.93/11.78 | (v3 = 0 & ~ (v4 = v2) & apply(all_49_6, v2) = v4 & in(v2, % 78.93/11.78 | all_49_8) = 0 & $i(v4))) & ( ~ (all_49_2 = all_49_6) | (v1 % 78.93/11.78 | = all_49_8 & ! [v5: $i] : ! [v6: $i] : (v6 = v5 | ~ % 78.93/11.78 | (apply(all_49_6, v5) = v6) | ~ $i(v5) | ? [v7: int] : ( % 78.93/11.78 | ~ (v7 = 0) & in(v5, all_49_8) = v7)) & ! [v5: $i] : ( ~ % 78.93/11.78 | (in(v5, all_49_8) = 0) | ~ $i(v5) | apply(all_49_6, v5) = % 78.93/11.78 | v5)))))) % 78.93/11.78 | % 78.93/11.78 | GROUND_INST: instantiating (15) with all_49_8, all_36_0, all_49_2, simplifying % 78.93/11.78 | with (34), (35), (51), (64) gives: % 78.93/11.78 | (95) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: $i] % 78.93/11.78 | : (relation_dom(all_36_0) = v1 & relation(all_36_0) = v0 & $i(v2) & % 78.93/11.78 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_49_8) | all_49_2 = all_36_0 | % 78.93/11.78 | (v3 = 0 & ~ (v4 = v2) & apply(all_36_0, v2) = v4 & in(v2, % 78.93/11.78 | all_49_8) = 0 & $i(v4))) & ( ~ (all_49_2 = all_36_0) | (v1 % 78.93/11.78 | = all_49_8 & ! [v5: $i] : ! [v6: $i] : (v6 = v5 | ~ % 78.93/11.78 | (apply(all_36_0, v5) = v6) | ~ $i(v5) | ? [v7: int] : ( % 78.93/11.78 | ~ (v7 = 0) & in(v5, all_49_8) = v7)) & ! [v5: $i] : ( ~ % 78.93/11.78 | (in(v5, all_49_8) = 0) | ~ $i(v5) | apply(all_36_0, v5) = % 78.93/11.78 | v5)))))) % 78.93/11.78 | % 78.93/11.78 | GROUND_INST: instantiating (6) with all_49_8, all_49_2, simplifying with (51), % 78.93/11.78 | (64) gives: % 78.93/11.78 | (96) relation(all_49_2) = 0 % 78.93/11.78 | % 78.93/11.78 | GROUND_INST: instantiating (5) with all_49_8, all_49_2, simplifying with (51), % 78.93/11.78 | (64) gives: % 78.93/11.78 | (97) function(all_49_2) = 0 % 78.93/11.78 | % 78.93/11.78 | GROUND_INST: instantiating (10) with all_49_6, all_49_5, simplifying with % 78.93/11.78 | (53), (65) gives: % 78.93/11.78 | (98) ? [v0: any] : ? [v1: any] : ? [v2: any] : (relation(all_49_6) = v1 % 78.93/11.78 | & empty(all_49_5) = v2 & empty(all_49_6) = v0 & ( ~ (v2 = 0) | ~ % 78.93/11.78 | (v1 = 0) | v0 = 0)) % 78.93/11.78 | % 78.93/11.78 | GROUND_INST: instantiating (13) with all_49_7, all_49_6, all_49_3, simplifying % 78.93/11.78 | with (52), (53), (66) gives: % 78.93/11.78 | (99) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : % 78.93/11.78 | (relation_dom(all_49_6) = v2 & relation(all_49_6) = v0 & % 78.93/11.78 | function(all_49_6) = v1 & in(all_49_7, v2) = v3 & $i(v2) & ( ~ (v1 = % 78.93/11.78 | 0) | ~ (v0 = 0) | ( ! [v4: $i] : ! [v5: $i] : ( ~ (v3 = 0) | % 78.93/11.78 | ~ (apply(v4, all_49_3) = v5) | ~ $i(v4) | ? [v6: any] : ? % 78.93/11.78 | [v7: any] : ? [v8: $i] : ? [v9: $i] : (apply(v8, all_49_7) = % 78.93/11.78 | v9 & relation_composition(all_49_6, v4) = v8 & relation(v4) % 78.93/11.78 | = v6 & function(v4) = v7 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | % 78.93/11.78 | ~ (v6 = 0) | v9 = v5))) & ! [v4: $i] : ! [v5: $i] : ( ~ % 78.93/11.78 | (v3 = 0) | ~ (relation_composition(all_49_6, v4) = v5) | ~ % 78.93/11.78 | $i(v4) | ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? [v9: % 78.93/11.78 | $i] : (apply(v5, all_49_7) = v8 & apply(v4, all_49_3) = v9 & % 78.93/11.78 | relation(v4) = v6 & function(v4) = v7 & $i(v9) & $i(v8) & ( % 78.93/11.78 | ~ (v7 = 0) | ~ (v6 = 0) | v9 = v8))) & ! [v4: $i] : ( ~ % 78.93/11.78 | (v3 = 0) | ~ (relation(v4) = 0) | ~ $i(v4) | ? [v5: any] : % 78.93/11.78 | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : (apply(v6, all_49_7) % 78.93/11.78 | = v7 & apply(v4, all_49_3) = v8 & % 78.93/11.78 | relation_composition(all_49_6, v4) = v6 & function(v4) = v5 % 78.93/11.78 | & $i(v8) & $i(v7) & $i(v6) & ( ~ (v5 = 0) | v8 = v7))) & ! % 78.93/11.78 | [v4: $i] : ( ~ (v3 = 0) | ~ (function(v4) = 0) | ~ $i(v4) | ? % 78.93/11.78 | [v5: any] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : % 78.93/11.78 | (apply(v6, all_49_7) = v7 & apply(v4, all_49_3) = v8 & % 78.93/11.78 | relation_composition(all_49_6, v4) = v6 & relation(v4) = v5 % 78.93/11.78 | & $i(v8) & $i(v7) & $i(v6) & ( ~ (v5 = 0) | v8 = v7)))))) % 78.93/11.78 | % 78.93/11.78 | GROUND_INST: instantiating (13) with all_49_7, all_49_1, all_49_0, simplifying % 78.93/11.78 | with (52), (58), (67) gives: % 78.93/11.78 | (100) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : % 78.93/11.78 | (relation_dom(all_49_1) = v2 & relation(all_49_1) = v0 & % 78.93/11.78 | function(all_49_1) = v1 & in(all_49_7, v2) = v3 & $i(v2) & ( ~ (v1 % 78.93/11.78 | = 0) | ~ (v0 = 0) | ( ! [v4: $i] : ! [v5: $i] : ( ~ (v3 = 0) % 78.93/11.78 | | ~ (apply(v4, all_49_0) = v5) | ~ $i(v4) | ? [v6: any] : % 78.93/11.78 | ? [v7: any] : ? [v8: $i] : ? [v9: $i] : (apply(v8, % 78.93/11.78 | all_49_7) = v9 & relation_composition(all_49_1, v4) = v8 % 78.93/11.78 | & relation(v4) = v6 & function(v4) = v7 & $i(v9) & $i(v8) & % 78.93/11.78 | ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = v5))) & ! [v4: $i] : ! % 78.93/11.78 | [v5: $i] : ( ~ (v3 = 0) | ~ (relation_composition(all_49_1, % 78.93/11.78 | v4) = v5) | ~ $i(v4) | ? [v6: any] : ? [v7: any] : ? % 78.93/11.78 | [v8: $i] : ? [v9: $i] : (apply(v5, all_49_7) = v8 & % 78.93/11.78 | apply(v4, all_49_0) = v9 & relation(v4) = v6 & function(v4) % 78.93/11.78 | = v7 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = % 78.93/11.78 | v8))) & ! [v4: $i] : ( ~ (v3 = 0) | ~ (relation(v4) = % 78.93/11.78 | 0) | ~ $i(v4) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] : % 78.93/11.78 | ? [v8: $i] : (apply(v6, all_49_7) = v7 & apply(v4, all_49_0) % 78.93/11.78 | = v8 & relation_composition(all_49_1, v4) = v6 & % 78.93/11.78 | function(v4) = v5 & $i(v8) & $i(v7) & $i(v6) & ( ~ (v5 = 0) % 78.93/11.78 | | v8 = v7))) & ! [v4: $i] : ( ~ (v3 = 0) | ~ % 78.93/11.78 | (function(v4) = 0) | ~ $i(v4) | ? [v5: any] : ? [v6: $i] : % 78.93/11.78 | ? [v7: $i] : ? [v8: $i] : (apply(v6, all_49_7) = v7 & % 78.93/11.78 | apply(v4, all_49_0) = v8 & relation_composition(all_49_1, % 78.93/11.78 | v4) = v6 & relation(v4) = v5 & $i(v8) & $i(v7) & $i(v6) & % 78.93/11.78 | ( ~ (v5 = 0) | v8 = v7)))))) % 78.93/11.78 | % 78.93/11.78 | COMBINE_EQS: (75), (76) imply: % 78.93/11.78 | (101) all_34_0 = empty_set % 78.93/11.78 | % 78.93/11.78 | SIMP: (101) implies: % 78.93/11.78 | (102) all_34_0 = empty_set % 78.93/11.78 | % 78.93/11.78 | DELTA: instantiating (77) with fresh symbol all_61_0 gives: % 78.93/11.78 | (103) relation_dom(all_39_0) = all_61_0 & relation(all_61_0) = 0 & % 78.93/11.78 | empty(all_61_0) = 0 & $i(all_61_0) % 78.93/11.78 | % 78.93/11.78 | ALPHA: (103) implies: % 78.93/11.78 | (104) relation_dom(all_39_0) = all_61_0 % 78.93/11.78 | % 78.93/11.78 | DELTA: instantiating (74) with fresh symbols all_63_0, all_63_1 gives: % 78.93/11.79 | (105) ~ (all_63_0 = 0) & powerset(all_39_0) = all_63_1 & element(all_49_4, % 78.93/11.79 | all_63_1) = all_63_0 & $i(all_63_1) % 78.93/11.79 | % 78.93/11.79 | ALPHA: (105) implies: % 78.93/11.79 | (106) element(all_49_4, all_63_1) = all_63_0 % 78.93/11.79 | (107) powerset(all_39_0) = all_63_1 % 78.93/11.79 | % 78.93/11.79 | DELTA: instantiating (73) with fresh symbol all_65_0 gives: % 78.93/11.79 | (108) relation_dom(all_34_0) = all_65_0 & relation(all_65_0) = 0 & % 78.93/11.79 | empty(all_65_0) = 0 & $i(all_65_0) % 78.93/11.79 | % 78.93/11.79 | ALPHA: (108) implies: % 78.93/11.79 | (109) $i(all_65_0) % 78.93/11.79 | (110) empty(all_65_0) = 0 % 78.93/11.79 | (111) relation_dom(all_34_0) = all_65_0 % 78.93/11.79 | % 78.93/11.79 | DELTA: instantiating (70) with fresh symbols all_67_0, all_67_1 gives: % 78.93/11.79 | (112) ~ (all_67_0 = 0) & powerset(all_34_0) = all_67_1 & element(all_49_4, % 78.93/11.79 | all_67_1) = all_67_0 & $i(all_67_1) % 78.93/11.79 | % 78.93/11.79 | ALPHA: (112) implies: % 78.93/11.79 | (113) ~ (all_67_0 = 0) % 78.93/11.79 | (114) element(all_49_4, all_67_1) = all_67_0 % 78.93/11.79 | (115) powerset(all_34_0) = all_67_1 % 78.93/11.79 | % 78.93/11.79 | DELTA: instantiating (69) with fresh symbol all_69_0 gives: % 78.93/11.79 | (116) relation_dom(empty_set) = all_69_0 & relation(all_69_0) = 0 & % 78.93/11.79 | empty(all_69_0) = 0 & $i(all_69_0) % 78.93/11.79 | % 78.93/11.79 | ALPHA: (116) implies: % 78.93/11.79 | (117) relation_dom(empty_set) = all_69_0 % 78.93/11.79 | % 78.93/11.79 | DELTA: instantiating (68) with fresh symbols all_71_0, all_71_1 gives: % 78.93/11.79 | (118) ~ (all_71_0 = 0) & powerset(empty_set) = all_71_1 & % 78.93/11.79 | element(all_49_4, all_71_1) = all_71_0 & $i(all_71_1) % 78.93/11.79 | % 78.93/11.79 | ALPHA: (118) implies: % 78.93/11.79 | (119) element(all_49_4, all_71_1) = all_71_0 % 78.93/11.79 | (120) powerset(empty_set) = all_71_1 % 78.93/11.79 | % 78.93/11.79 | DELTA: instantiating (80) with fresh symbols all_73_0, all_73_1, all_73_2 % 78.93/11.79 | gives: % 78.93/11.79 | (121) relation_dom(all_39_0) = all_73_1 & empty(all_73_1) = all_73_0 & % 78.93/11.79 | empty(all_39_0) = all_73_2 & $i(all_73_1) & ( ~ (all_73_0 = 0) | % 78.93/11.79 | all_73_2 = 0) % 78.93/11.79 | % 78.93/11.79 | ALPHA: (121) implies: % 78.93/11.79 | (122) empty(all_39_0) = all_73_2 % 78.93/11.79 | (123) empty(all_73_1) = all_73_0 % 78.93/11.79 | (124) relation_dom(all_39_0) = all_73_1 % 78.93/11.79 | % 78.93/11.79 | DELTA: instantiating (79) with fresh symbols all_75_0, all_75_1, all_75_2 % 78.93/11.79 | gives: % 78.93/11.79 | (125) relation_dom(empty_set) = all_75_1 & empty(all_75_1) = all_75_0 & % 78.93/11.79 | empty(empty_set) = all_75_2 & $i(all_75_1) & ( ~ (all_75_0 = 0) | % 78.93/11.79 | all_75_2 = 0) % 78.93/11.79 | % 78.93/11.79 | ALPHA: (125) implies: % 79.44/11.79 | (126) empty(empty_set) = all_75_2 % 79.44/11.79 | (127) empty(all_75_1) = all_75_0 % 79.44/11.79 | (128) relation_dom(empty_set) = all_75_1 % 79.44/11.79 | % 79.44/11.79 | DELTA: instantiating (98) with fresh symbols all_85_0, all_85_1, all_85_2 % 79.44/11.79 | gives: % 79.44/11.79 | (129) relation(all_49_6) = all_85_1 & empty(all_49_5) = all_85_0 & % 79.44/11.79 | empty(all_49_6) = all_85_2 & ( ~ (all_85_0 = 0) | ~ (all_85_1 = 0) | % 79.44/11.79 | all_85_2 = 0) % 79.44/11.79 | % 79.44/11.79 | ALPHA: (129) implies: % 79.44/11.79 | (130) relation(all_49_6) = all_85_1 % 79.44/11.79 | % 79.44/11.79 | DELTA: instantiating (89) with fresh symbols all_87_0, all_87_1, all_87_2 % 79.44/11.79 | gives: % 79.44/11.79 | (131) relation(all_49_1) = all_87_0 & relation(all_49_2) = all_87_2 & % 79.44/11.79 | relation(all_49_6) = all_87_1 & ( ~ (all_87_1 = 0) | ~ (all_87_2 = % 79.44/11.79 | 0) | all_87_0 = 0) % 79.44/11.79 | % 79.44/11.79 | ALPHA: (131) implies: % 79.44/11.79 | (132) relation(all_49_6) = all_87_1 % 79.44/11.79 | (133) relation(all_49_2) = all_87_2 % 79.44/11.79 | (134) relation(all_49_1) = all_87_0 % 79.44/11.79 | (135) ~ (all_87_1 = 0) | ~ (all_87_2 = 0) | all_87_0 = 0 % 79.44/11.79 | % 79.44/11.79 | DELTA: instantiating (81) with fresh symbols all_89_0, all_89_1, all_89_2 % 79.44/11.79 | gives: % 79.44/11.79 | (136) relation_dom(all_49_6) = all_89_1 & empty(all_89_1) = all_89_0 & % 79.44/11.79 | empty(all_49_6) = all_89_2 & $i(all_89_1) & ( ~ (all_89_0 = 0) | % 79.44/11.79 | all_89_2 = 0) % 79.44/11.79 | % 79.44/11.79 | ALPHA: (136) implies: % 79.44/11.79 | (137) $i(all_89_1) % 79.44/11.79 | (138) relation_dom(all_49_6) = all_89_1 % 79.44/11.79 | % 79.44/11.79 | DELTA: instantiating (88) with fresh symbols all_93_0, all_93_1, all_93_2, % 79.44/11.79 | all_93_3 gives: % 79.44/11.79 | (139) relation(all_49_1) = all_93_0 & relation(all_49_6) = all_93_2 & % 79.44/11.79 | empty(all_49_1) = all_93_1 & empty(all_49_2) = all_93_3 & ( ~ % 79.44/11.79 | (all_93_2 = 0) | ~ (all_93_3 = 0) | (all_93_0 = 0 & all_93_1 = 0)) % 79.44/11.79 | % 79.44/11.79 | ALPHA: (139) implies: % 79.44/11.79 | (140) relation(all_49_6) = all_93_2 % 79.44/11.79 | (141) relation(all_49_1) = all_93_0 % 79.44/11.79 | % 79.44/11.79 | DELTA: instantiating (86) with fresh symbols all_95_0, all_95_1, all_95_2, % 79.44/11.79 | all_95_3 gives: % 79.44/11.79 | (142) relation(all_49_1) = all_95_0 & relation(all_49_2) = all_95_2 & % 79.44/11.79 | empty(all_49_1) = all_95_1 & empty(all_49_6) = all_95_3 & ( ~ % 79.44/11.79 | (all_95_2 = 0) | ~ (all_95_3 = 0) | (all_95_0 = 0 & all_95_1 = 0)) % 79.44/11.79 | % 79.44/11.79 | ALPHA: (142) implies: % 79.44/11.79 | (143) relation(all_49_2) = all_95_2 % 79.44/11.79 | (144) relation(all_49_1) = all_95_0 % 79.44/11.79 | % 79.44/11.79 | DELTA: instantiating (87) with fresh symbols all_97_0, all_97_1, all_97_2, % 79.44/11.79 | all_97_3, all_97_4, all_97_5 gives: % 79.44/11.79 | (145) relation(all_49_1) = all_97_1 & relation(all_49_2) = all_97_5 & % 79.44/11.79 | relation(all_49_6) = all_97_3 & function(all_49_1) = all_97_0 & % 79.44/11.79 | function(all_49_2) = all_97_4 & function(all_49_6) = all_97_2 & ( ~ % 79.44/11.79 | (all_97_2 = 0) | ~ (all_97_3 = 0) | ~ (all_97_4 = 0) | ~ % 79.44/11.79 | (all_97_5 = 0) | (all_97_0 = 0 & all_97_1 = 0)) % 79.44/11.79 | % 79.44/11.79 | ALPHA: (145) implies: % 79.44/11.79 | (146) function(all_49_6) = all_97_2 % 79.44/11.79 | (147) function(all_49_2) = all_97_4 % 79.44/11.79 | (148) function(all_49_1) = all_97_0 % 79.44/11.79 | (149) relation(all_49_6) = all_97_3 % 79.44/11.79 | (150) relation(all_49_2) = all_97_5 % 79.44/11.79 | (151) relation(all_49_1) = all_97_1 % 79.44/11.79 | (152) ~ (all_97_2 = 0) | ~ (all_97_3 = 0) | ~ (all_97_4 = 0) | ~ % 79.44/11.79 | (all_97_5 = 0) | (all_97_0 = 0 & all_97_1 = 0) % 79.44/11.79 | % 79.44/11.79 | DELTA: instantiating (92) with fresh symbols all_99_0, all_99_1, all_99_2, % 79.44/11.79 | all_99_3, all_99_4 gives: % 79.44/11.79 | (153) relation_dom(all_36_0) = all_99_3 & function(all_36_0) = all_99_4 & % 79.44/11.79 | $i(all_99_2) & $i(all_99_3) & ( ~ (all_99_4 = 0) | (( ~ (all_99_3 = % 79.44/11.79 | all_49_8) | all_49_2 = all_36_0 | (all_99_1 = 0 & ~ % 79.44/11.79 | (all_99_0 = all_99_2) & apply(all_36_0, all_99_2) = all_99_0 % 79.44/11.79 | & in(all_99_2, all_49_8) = 0 & $i(all_99_0))) & ( ~ (all_49_2 % 79.44/11.79 | = all_36_0) | (all_99_3 = all_49_8 & ! [v0: $i] : ! [v1: % 79.44/11.79 | $i] : (v1 = v0 | ~ (apply(all_36_0, v0) = v1) | ~ $i(v0) % 79.44/11.79 | | ? [v2: int] : ( ~ (v2 = 0) & in(v0, all_49_8) = v2)) & % 79.44/11.79 | ! [v0: $i] : ( ~ (in(v0, all_49_8) = 0) | ~ $i(v0) | % 79.44/11.79 | apply(all_36_0, v0) = v0))))) % 79.44/11.79 | % 79.44/11.79 | ALPHA: (153) implies: % 79.44/11.79 | (154) function(all_36_0) = all_99_4 % 79.44/11.79 | % 79.44/11.79 | DELTA: instantiating (91) with fresh symbols all_105_0, all_105_1, all_105_2, % 79.44/11.79 | all_105_3, all_105_4 gives: % 79.44/11.80 | (155) relation_dom(all_39_0) = all_105_3 & function(all_39_0) = all_105_4 & % 79.44/11.80 | $i(all_105_2) & $i(all_105_3) & ( ~ (all_105_4 = 0) | (( ~ (all_105_3 % 79.44/11.80 | = all_49_8) | all_49_2 = all_39_0 | (all_105_1 = 0 & ~ % 79.44/11.80 | (all_105_0 = all_105_2) & apply(all_39_0, all_105_2) = % 79.44/11.80 | all_105_0 & in(all_105_2, all_49_8) = 0 & $i(all_105_0))) & ( % 79.44/11.80 | ~ (all_49_2 = all_39_0) | (all_105_3 = all_49_8 & ! [v0: $i] : % 79.44/11.80 | ! [v1: $i] : (v1 = v0 | ~ (apply(all_39_0, v0) = v1) | ~ % 79.44/11.80 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & in(v0, all_49_8) = % 79.44/11.80 | v2)) & ! [v0: $i] : ( ~ (in(v0, all_49_8) = 0) | ~ % 79.44/11.80 | $i(v0) | apply(all_39_0, v0) = v0))))) % 79.44/11.80 | % 79.44/11.80 | ALPHA: (155) implies: % 79.44/11.80 | (156) function(all_39_0) = all_105_4 % 79.44/11.80 | (157) relation_dom(all_39_0) = all_105_3 % 79.44/11.80 | % 79.44/11.80 | DELTA: instantiating (90) with fresh symbols all_107_0, all_107_1, all_107_2, % 79.44/11.80 | all_107_3, all_107_4 gives: % 79.44/11.80 | (158) relation_dom(all_49_6) = all_107_3 & function(all_49_6) = all_107_4 & % 79.44/11.80 | $i(all_107_2) & $i(all_107_3) & ( ~ (all_107_4 = 0) | (( ~ (all_107_3 % 79.44/11.80 | = all_49_8) | all_49_2 = all_49_6 | (all_107_1 = 0 & ~ % 79.44/11.80 | (all_107_0 = all_107_2) & apply(all_49_6, all_107_2) = % 79.44/11.80 | all_107_0 & in(all_107_2, all_49_8) = 0 & $i(all_107_0))) & ( % 79.44/11.80 | ~ (all_49_2 = all_49_6) | (all_107_3 = all_49_8 & ! [v0: $i] : % 79.44/11.80 | ! [v1: $i] : (v1 = v0 | ~ (apply(all_49_6, v0) = v1) | ~ % 79.44/11.80 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & in(v0, all_49_8) = % 79.44/11.80 | v2)) & ! [v0: $i] : ( ~ (in(v0, all_49_8) = 0) | ~ % 79.44/11.80 | $i(v0) | apply(all_49_6, v0) = v0))))) % 79.44/11.80 | % 79.44/11.80 | ALPHA: (158) implies: % 79.44/11.80 | (159) function(all_49_6) = all_107_4 % 79.44/11.80 | (160) relation_dom(all_49_6) = all_107_3 % 79.44/11.80 | % 79.44/11.80 | DELTA: instantiating (95) with fresh symbols all_109_0, all_109_1, all_109_2, % 79.44/11.80 | all_109_3, all_109_4 gives: % 79.44/11.80 | (161) relation_dom(all_36_0) = all_109_3 & relation(all_36_0) = all_109_4 & % 79.44/11.80 | $i(all_109_2) & $i(all_109_3) & ( ~ (all_109_4 = 0) | (( ~ (all_109_3 % 79.44/11.80 | = all_49_8) | all_49_2 = all_36_0 | (all_109_1 = 0 & ~ % 79.44/11.80 | (all_109_0 = all_109_2) & apply(all_36_0, all_109_2) = % 79.44/11.80 | all_109_0 & in(all_109_2, all_49_8) = 0 & $i(all_109_0))) & ( % 79.44/11.80 | ~ (all_49_2 = all_36_0) | (all_109_3 = all_49_8 & ! [v0: $i] : % 79.44/11.80 | ! [v1: $i] : (v1 = v0 | ~ (apply(all_36_0, v0) = v1) | ~ % 79.44/11.80 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & in(v0, all_49_8) = % 79.44/11.80 | v2)) & ! [v0: $i] : ( ~ (in(v0, all_49_8) = 0) | ~ % 79.44/11.80 | $i(v0) | apply(all_36_0, v0) = v0))))) % 79.44/11.80 | % 79.44/11.80 | ALPHA: (161) implies: % 79.44/11.80 | (162) relation(all_36_0) = all_109_4 % 79.44/11.80 | (163) ~ (all_109_4 = 0) | (( ~ (all_109_3 = all_49_8) | all_49_2 = % 79.44/11.80 | all_36_0 | (all_109_1 = 0 & ~ (all_109_0 = all_109_2) & % 79.44/11.80 | apply(all_36_0, all_109_2) = all_109_0 & in(all_109_2, % 79.44/11.80 | all_49_8) = 0 & $i(all_109_0))) & ( ~ (all_49_2 = all_36_0) | % 79.44/11.80 | (all_109_3 = all_49_8 & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 79.44/11.80 | (apply(all_36_0, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ % 79.44/11.80 | (v2 = 0) & in(v0, all_49_8) = v2)) & ! [v0: $i] : ( ~ % 79.44/11.80 | (in(v0, all_49_8) = 0) | ~ $i(v0) | apply(all_36_0, v0) = % 79.44/11.80 | v0)))) % 79.44/11.80 | % 79.44/11.80 | DELTA: instantiating (94) with fresh symbols all_111_0, all_111_1, all_111_2, % 79.44/11.80 | all_111_3, all_111_4 gives: % 79.44/11.80 | (164) relation_dom(all_49_6) = all_111_3 & relation(all_49_6) = all_111_4 & % 79.44/11.80 | $i(all_111_2) & $i(all_111_3) & ( ~ (all_111_4 = 0) | (( ~ (all_111_3 % 79.44/11.80 | = all_49_8) | all_49_2 = all_49_6 | (all_111_1 = 0 & ~ % 79.44/11.80 | (all_111_0 = all_111_2) & apply(all_49_6, all_111_2) = % 79.44/11.80 | all_111_0 & in(all_111_2, all_49_8) = 0 & $i(all_111_0))) & ( % 79.44/11.80 | ~ (all_49_2 = all_49_6) | (all_111_3 = all_49_8 & ! [v0: $i] : % 79.44/11.80 | ! [v1: $i] : (v1 = v0 | ~ (apply(all_49_6, v0) = v1) | ~ % 79.44/11.80 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & in(v0, all_49_8) = % 79.44/11.80 | v2)) & ! [v0: $i] : ( ~ (in(v0, all_49_8) = 0) | ~ % 79.44/11.80 | $i(v0) | apply(all_49_6, v0) = v0))))) % 79.44/11.80 | % 79.44/11.80 | ALPHA: (164) implies: % 79.44/11.80 | (165) relation(all_49_6) = all_111_4 % 79.44/11.80 | (166) relation_dom(all_49_6) = all_111_3 % 79.44/11.80 | % 79.44/11.80 | DELTA: instantiating (93) with fresh symbols all_113_0, all_113_1, all_113_2, % 79.44/11.80 | all_113_3, all_113_4 gives: % 79.44/11.80 | (167) relation_dom(empty_set) = all_113_3 & function(empty_set) = all_113_4 % 79.44/11.80 | & $i(all_113_2) & $i(all_113_3) & ( ~ (all_113_4 = 0) | (( ~ % 79.44/11.80 | (all_113_3 = all_49_8) | all_49_2 = empty_set | (all_113_1 = 0 % 79.44/11.80 | & ~ (all_113_0 = all_113_2) & apply(empty_set, all_113_2) = % 79.44/11.80 | all_113_0 & in(all_113_2, all_49_8) = 0 & $i(all_113_0))) & ( % 79.44/11.80 | ~ (all_49_2 = empty_set) | (all_113_3 = all_49_8 & ! [v0: $i] % 79.44/11.80 | : ! [v1: $i] : (v1 = v0 | ~ (apply(empty_set, v0) = v1) | % 79.44/11.80 | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & in(v0, all_49_8) = % 79.44/11.80 | v2)) & ! [v0: $i] : ( ~ (in(v0, all_49_8) = 0) | ~ % 79.44/11.80 | $i(v0) | apply(empty_set, v0) = v0))))) % 79.44/11.80 | % 79.44/11.80 | ALPHA: (167) implies: % 79.44/11.80 | (168) function(empty_set) = all_113_4 % 79.44/11.80 | (169) relation_dom(empty_set) = all_113_3 % 79.44/11.80 | % 79.44/11.80 | DELTA: instantiating (99) with fresh symbols all_115_0, all_115_1, all_115_2, % 79.44/11.80 | all_115_3 gives: % 79.44/11.80 | (170) relation_dom(all_49_6) = all_115_1 & relation(all_49_6) = all_115_3 & % 79.44/11.80 | function(all_49_6) = all_115_2 & in(all_49_7, all_115_1) = all_115_0 % 79.44/11.80 | & $i(all_115_1) & ( ~ (all_115_2 = 0) | ~ (all_115_3 = 0) | ( ! [v0: % 79.44/11.80 | $i] : ! [v1: $i] : ( ~ (all_115_0 = 0) | ~ (apply(v0, % 79.44/11.80 | all_49_3) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : % 79.44/11.80 | ? [v4: $i] : ? [v5: $i] : (apply(v4, all_49_7) = v5 & % 79.44/11.80 | relation_composition(all_49_6, v0) = v4 & relation(v0) = v2 & % 79.44/11.80 | function(v0) = v3 & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 79.44/11.80 | 0) | v5 = v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 79.44/11.80 | (all_115_0 = 0) | ~ (relation_composition(all_49_6, v0) = v1) % 79.44/11.80 | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? % 79.44/11.80 | [v5: $i] : (apply(v1, all_49_7) = v4 & apply(v0, all_49_3) = v5 % 79.44/11.80 | & relation(v0) = v2 & function(v0) = v3 & $i(v5) & $i(v4) & ( % 79.44/11.80 | ~ (v3 = 0) | ~ (v2 = 0) | v5 = v4))) & ! [v0: $i] : ( ~ % 79.44/11.80 | (all_115_0 = 0) | ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: % 79.44/11.80 | any] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (apply(v2, % 79.44/11.80 | all_49_7) = v3 & apply(v0, all_49_3) = v4 & % 79.44/11.80 | relation_composition(all_49_6, v0) = v2 & function(v0) = v1 & % 79.44/11.80 | $i(v4) & $i(v3) & $i(v2) & ( ~ (v1 = 0) | v4 = v3))) & ! % 79.44/11.80 | [v0: $i] : ( ~ (all_115_0 = 0) | ~ (function(v0) = 0) | ~ % 79.44/11.80 | $i(v0) | ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] % 79.44/11.80 | : (apply(v2, all_49_7) = v3 & apply(v0, all_49_3) = v4 & % 79.44/11.80 | relation_composition(all_49_6, v0) = v2 & relation(v0) = v1 & % 79.44/11.80 | $i(v4) & $i(v3) & $i(v2) & ( ~ (v1 = 0) | v4 = v3))))) % 79.44/11.80 | % 79.44/11.80 | ALPHA: (170) implies: % 79.44/11.80 | (171) in(all_49_7, all_115_1) = all_115_0 % 79.44/11.80 | (172) function(all_49_6) = all_115_2 % 79.44/11.80 | (173) relation(all_49_6) = all_115_3 % 79.44/11.80 | (174) relation_dom(all_49_6) = all_115_1 % 79.44/11.80 | (175) ~ (all_115_2 = 0) | ~ (all_115_3 = 0) | ( ! [v0: $i] : ! [v1: $i] % 79.44/11.80 | : ( ~ (all_115_0 = 0) | ~ (apply(v0, all_49_3) = v1) | ~ $i(v0) | % 79.44/11.80 | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : % 79.44/11.80 | (apply(v4, all_49_7) = v5 & relation_composition(all_49_6, v0) = % 79.44/11.80 | v4 & relation(v0) = v2 & function(v0) = v3 & $i(v5) & $i(v4) & % 79.44/11.80 | ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v1))) & ! [v0: $i] : ! [v1: % 79.44/11.80 | $i] : ( ~ (all_115_0 = 0) | ~ (relation_composition(all_49_6, % 79.44/11.80 | v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: % 79.44/11.80 | $i] : ? [v5: $i] : (apply(v1, all_49_7) = v4 & apply(v0, % 79.44/11.80 | all_49_3) = v5 & relation(v0) = v2 & function(v0) = v3 & % 79.44/11.80 | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v4))) & ! % 79.44/11.80 | [v0: $i] : ( ~ (all_115_0 = 0) | ~ (relation(v0) = 0) | ~ $i(v0) % 79.44/11.80 | | ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 79.44/11.80 | (apply(v2, all_49_7) = v3 & apply(v0, all_49_3) = v4 & % 79.44/11.80 | relation_composition(all_49_6, v0) = v2 & function(v0) = v1 & % 79.44/11.80 | $i(v4) & $i(v3) & $i(v2) & ( ~ (v1 = 0) | v4 = v3))) & ! [v0: % 79.44/11.80 | $i] : ( ~ (all_115_0 = 0) | ~ (function(v0) = 0) | ~ $i(v0) | % 79.44/11.80 | ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 79.44/11.80 | (apply(v2, all_49_7) = v3 & apply(v0, all_49_3) = v4 & % 79.44/11.80 | relation_composition(all_49_6, v0) = v2 & relation(v0) = v1 & % 79.44/11.80 | $i(v4) & $i(v3) & $i(v2) & ( ~ (v1 = 0) | v4 = v3)))) % 79.44/11.80 | % 79.44/11.80 | DELTA: instantiating (100) with fresh symbols all_117_0, all_117_1, all_117_2, % 79.44/11.80 | all_117_3 gives: % 79.44/11.81 | (176) relation_dom(all_49_1) = all_117_1 & relation(all_49_1) = all_117_3 & % 79.44/11.81 | function(all_49_1) = all_117_2 & in(all_49_7, all_117_1) = all_117_0 % 79.44/11.81 | & $i(all_117_1) & ( ~ (all_117_2 = 0) | ~ (all_117_3 = 0) | ( ! [v0: % 79.44/11.81 | $i] : ! [v1: $i] : ( ~ (all_117_0 = 0) | ~ (apply(v0, % 79.44/11.81 | all_49_0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : % 79.44/11.81 | ? [v4: $i] : ? [v5: $i] : (apply(v4, all_49_7) = v5 & % 79.44/11.81 | relation_composition(all_49_1, v0) = v4 & relation(v0) = v2 & % 79.44/11.81 | function(v0) = v3 & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 79.44/11.81 | 0) | v5 = v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 79.44/11.81 | (all_117_0 = 0) | ~ (relation_composition(all_49_1, v0) = v1) % 79.44/11.81 | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? % 79.44/11.81 | [v5: $i] : (apply(v1, all_49_7) = v4 & apply(v0, all_49_0) = v5 % 79.44/11.81 | & relation(v0) = v2 & function(v0) = v3 & $i(v5) & $i(v4) & ( % 79.44/11.81 | ~ (v3 = 0) | ~ (v2 = 0) | v5 = v4))) & ! [v0: $i] : ( ~ % 79.44/11.81 | (all_117_0 = 0) | ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: % 79.44/11.81 | any] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (apply(v2, % 79.44/11.81 | all_49_7) = v3 & apply(v0, all_49_0) = v4 & % 79.44/11.81 | relation_composition(all_49_1, v0) = v2 & function(v0) = v1 & % 79.44/11.81 | $i(v4) & $i(v3) & $i(v2) & ( ~ (v1 = 0) | v4 = v3))) & ! % 79.44/11.81 | [v0: $i] : ( ~ (all_117_0 = 0) | ~ (function(v0) = 0) | ~ % 79.44/11.81 | $i(v0) | ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] % 79.44/11.81 | : (apply(v2, all_49_7) = v3 & apply(v0, all_49_0) = v4 & % 79.44/11.81 | relation_composition(all_49_1, v0) = v2 & relation(v0) = v1 & % 79.44/11.81 | $i(v4) & $i(v3) & $i(v2) & ( ~ (v1 = 0) | v4 = v3))))) % 79.44/11.81 | % 79.44/11.81 | ALPHA: (176) implies: % 79.44/11.81 | (177) in(all_49_7, all_117_1) = all_117_0 % 79.44/11.81 | (178) function(all_49_1) = all_117_2 % 79.44/11.81 | (179) relation(all_49_1) = all_117_3 % 79.44/11.81 | (180) relation_dom(all_49_1) = all_117_1 % 79.44/11.81 | % 79.44/11.81 | REDUCE: (76), (157) imply: % 79.44/11.81 | (181) relation_dom(empty_set) = all_105_3 % 79.44/11.81 | % 79.44/11.81 | REDUCE: (76), (124) imply: % 79.44/11.81 | (182) relation_dom(empty_set) = all_73_1 % 79.44/11.81 | % 79.44/11.81 | REDUCE: (76), (104) imply: % 79.44/11.81 | (183) relation_dom(empty_set) = all_61_0 % 79.44/11.81 | % 79.44/11.81 | REDUCE: (102), (111) imply: % 79.44/11.81 | (184) relation_dom(empty_set) = all_65_0 % 79.44/11.81 | % 79.44/11.81 | REDUCE: (76), (107) imply: % 79.44/11.81 | (185) powerset(empty_set) = all_63_1 % 79.44/11.81 | % 79.44/11.81 | REDUCE: (102), (115) imply: % 79.44/11.81 | (186) powerset(empty_set) = all_67_1 % 79.44/11.81 | % 79.44/11.81 | REDUCE: (76), (156) imply: % 79.44/11.81 | (187) function(empty_set) = all_105_4 % 79.44/11.81 | % 79.44/11.81 | REDUCE: (72), (102) imply: % 79.44/11.81 | (188) function(empty_set) = 0 % 79.44/11.81 | % 79.44/11.81 | REDUCE: (76), (122) imply: % 79.44/11.81 | (189) empty(empty_set) = all_73_2 % 79.44/11.81 | % 79.44/11.81 | BETA: splitting (78) gives: % 79.44/11.81 | % 79.44/11.81 | Case 1: % 79.44/11.81 | | % 79.44/11.81 | | (190) all_45_0 = 0 % 79.44/11.81 | | % 79.44/11.81 | | REDUCE: (45), (190) imply: % 79.44/11.81 | | (191) $false % 79.44/11.81 | | % 79.44/11.81 | | CLOSE: (191) is inconsistent. % 79.44/11.81 | | % 79.44/11.81 | Case 2: % 79.44/11.81 | | % 79.44/11.81 | | (192) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (relation_dom(all_45_1) % 79.44/11.81 | | = v1 & relation(all_45_1) = v0 & empty(v1) = v2 & $i(v1) & ( ~ % 79.44/11.81 | | (v2 = 0) | ~ (v0 = 0))) % 79.44/11.81 | | % 79.44/11.81 | | DELTA: instantiating (192) with fresh symbols all_123_0, all_123_1, % 79.44/11.81 | | all_123_2 gives: % 79.44/11.81 | | (193) relation_dom(all_45_1) = all_123_1 & relation(all_45_1) = all_123_2 % 79.44/11.81 | | & empty(all_123_1) = all_123_0 & $i(all_123_1) & ( ~ (all_123_0 = % 79.44/11.81 | | 0) | ~ (all_123_2 = 0)) % 79.44/11.81 | | % 79.44/11.81 | | ALPHA: (193) implies: % 79.44/11.81 | | (194) relation(all_45_1) = all_123_2 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (21) with 0, all_75_2, empty_set, simplifying % 79.44/11.81 | | with (7), (126) gives: % 79.44/11.81 | | (195) all_75_2 = 0 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (21) with all_73_2, all_75_2, empty_set, % 79.44/11.81 | | simplifying with (126), (189) gives: % 79.44/11.81 | | (196) all_75_2 = all_73_2 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (22) with all_105_4, all_113_4, empty_set, % 79.44/11.81 | | simplifying with (168), (187) gives: % 79.44/11.81 | | (197) all_113_4 = all_105_4 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (22) with 0, all_113_4, empty_set, simplifying % 79.44/11.81 | | with (168), (188) gives: % 79.44/11.81 | | (198) all_113_4 = 0 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (22) with 0, all_99_4, all_36_0, simplifying with % 79.44/11.81 | | (35), (154) gives: % 79.44/11.81 | | (199) all_99_4 = 0 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (22) with all_97_2, all_107_4, all_49_6, % 79.44/11.81 | | simplifying with (146), (159) gives: % 79.44/11.81 | | (200) all_107_4 = all_97_2 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (22) with 0, all_115_2, all_49_6, simplifying % 79.44/11.81 | | with (60), (172) gives: % 79.44/11.81 | | (201) all_115_2 = 0 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (22) with all_107_4, all_115_2, all_49_6, % 79.44/11.81 | | simplifying with (159), (172) gives: % 79.44/11.81 | | (202) all_115_2 = all_107_4 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (22) with 0, all_97_4, all_49_2, simplifying with % 79.44/11.81 | | (97), (147) gives: % 79.44/11.81 | | (203) all_97_4 = 0 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (22) with all_97_0, all_117_2, all_49_1, % 79.44/11.81 | | simplifying with (148), (178) gives: % 79.44/11.81 | | (204) all_117_2 = all_97_0 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (23) with 0, all_109_4, all_36_0, simplifying % 79.44/11.81 | | with (36), (162) gives: % 79.44/11.81 | | (205) all_109_4 = 0 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (23) with 0, all_123_2, all_45_1, simplifying % 79.44/11.81 | | with (48), (194) gives: % 79.44/11.81 | | (206) all_123_2 = 0 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (23) with 0, all_87_1, all_49_6, simplifying with % 79.44/11.81 | | (61), (132) gives: % 79.44/11.81 | | (207) all_87_1 = 0 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (23) with all_85_1, all_111_4, all_49_6, % 79.44/11.81 | | simplifying with (130), (165) gives: % 79.44/11.81 | | (208) all_111_4 = all_85_1 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (23) with all_111_4, all_115_3, all_49_6, % 79.44/11.81 | | simplifying with (165), (173) gives: % 79.44/11.81 | | (209) all_115_3 = all_111_4 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (23) with all_97_3, all_115_3, all_49_6, % 79.44/11.81 | | simplifying with (149), (173) gives: % 79.44/11.81 | | (210) all_115_3 = all_97_3 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (23) with all_93_2, all_115_3, all_49_6, % 79.44/11.81 | | simplifying with (140), (173) gives: % 79.44/11.81 | | (211) all_115_3 = all_93_2 % 79.44/11.81 | | % 79.44/11.81 | | GROUND_INST: instantiating (23) with all_87_1, all_115_3, all_49_6, % 79.44/11.81 | | simplifying with (132), (173) gives: % 79.44/11.81 | | (212) all_115_3 = all_87_1 % 79.44/11.81 | | % 79.44/11.82 | | GROUND_INST: instantiating (23) with all_95_2, all_97_5, all_49_2, % 79.44/11.82 | | simplifying with (143), (150) gives: % 79.44/11.82 | | (213) all_97_5 = all_95_2 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (23) with all_87_2, all_97_5, all_49_2, % 79.44/11.82 | | simplifying with (133), (150) gives: % 79.44/11.82 | | (214) all_97_5 = all_87_2 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (23) with 0, all_97_5, all_49_2, simplifying with % 79.44/11.82 | | (96), (150) gives: % 79.44/11.82 | | (215) all_97_5 = 0 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (23) with all_93_0, all_95_0, all_49_1, % 79.44/11.82 | | simplifying with (141), (144) gives: % 79.44/11.82 | | (216) all_95_0 = all_93_0 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (23) with all_95_0, all_97_1, all_49_1, % 79.44/11.82 | | simplifying with (144), (151) gives: % 79.44/11.82 | | (217) all_97_1 = all_95_0 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (23) with all_97_1, all_117_3, all_49_1, % 79.44/11.82 | | simplifying with (151), (179) gives: % 79.44/11.82 | | (218) all_117_3 = all_97_1 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (23) with all_87_0, all_117_3, all_49_1, % 79.44/11.82 | | simplifying with (134), (179) gives: % 79.44/11.82 | | (219) all_117_3 = all_87_0 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (24) with all_67_1, all_71_1, empty_set, % 79.44/11.82 | | simplifying with (120), (186) gives: % 79.44/11.82 | | (220) all_71_1 = all_67_1 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (24) with all_63_1, all_71_1, empty_set, % 79.44/11.82 | | simplifying with (120), (185) gives: % 79.44/11.82 | | (221) all_71_1 = all_63_1 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (25) with all_73_1, all_75_1, empty_set, % 79.44/11.82 | | simplifying with (128), (182) gives: % 79.44/11.82 | | (222) all_75_1 = all_73_1 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (25) with all_69_0, all_75_1, empty_set, % 79.44/11.82 | | simplifying with (117), (128) gives: % 79.44/11.82 | | (223) all_75_1 = all_69_0 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (25) with all_65_0, all_75_1, empty_set, % 79.44/11.82 | | simplifying with (128), (184) gives: % 79.44/11.82 | | (224) all_75_1 = all_65_0 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (25) with all_105_3, all_113_3, empty_set, % 79.44/11.82 | | simplifying with (169), (181) gives: % 79.44/11.82 | | (225) all_113_3 = all_105_3 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (25) with all_73_1, all_113_3, empty_set, % 79.44/11.82 | | simplifying with (169), (182) gives: % 79.44/11.82 | | (226) all_113_3 = all_73_1 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (25) with all_61_0, all_113_3, empty_set, % 79.44/11.82 | | simplifying with (169), (183) gives: % 79.44/11.82 | | (227) all_113_3 = all_61_0 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (25) with all_49_5, all_111_3, all_49_6, % 79.44/11.82 | | simplifying with (65), (166) gives: % 79.44/11.82 | | (228) all_111_3 = all_49_5 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (25) with all_107_3, all_111_3, all_49_6, % 79.44/11.82 | | simplifying with (160), (166) gives: % 79.44/11.82 | | (229) all_111_3 = all_107_3 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (25) with all_111_3, all_115_1, all_49_6, % 79.44/11.82 | | simplifying with (166), (174) gives: % 79.44/11.82 | | (230) all_115_1 = all_111_3 % 79.44/11.82 | | % 79.44/11.82 | | GROUND_INST: instantiating (25) with all_89_1, all_115_1, all_49_6, % 79.44/11.82 | | simplifying with (138), (174) gives: % 79.44/11.82 | | (231) all_115_1 = all_89_1 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (218), (219) imply: % 79.44/11.82 | | (232) all_97_1 = all_87_0 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (232) implies: % 79.44/11.82 | | (233) all_97_1 = all_87_0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (230), (231) imply: % 79.44/11.82 | | (234) all_111_3 = all_89_1 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (234) implies: % 79.44/11.82 | | (235) all_111_3 = all_89_1 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (201), (202) imply: % 79.44/11.82 | | (236) all_107_4 = 0 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (236) implies: % 79.44/11.82 | | (237) all_107_4 = 0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (209), (210) imply: % 79.44/11.82 | | (238) all_111_4 = all_97_3 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (238) implies: % 79.44/11.82 | | (239) all_111_4 = all_97_3 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (210), (212) imply: % 79.44/11.82 | | (240) all_97_3 = all_87_1 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (210), (211) imply: % 79.44/11.82 | | (241) all_97_3 = all_93_2 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (225), (226) imply: % 79.44/11.82 | | (242) all_105_3 = all_73_1 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (225), (227) imply: % 79.44/11.82 | | (243) all_105_3 = all_61_0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (197), (198) imply: % 79.44/11.82 | | (244) all_105_4 = 0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (228), (229) imply: % 79.44/11.82 | | (245) all_107_3 = all_49_5 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (229), (235) imply: % 79.44/11.82 | | (246) all_107_3 = all_89_1 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (208), (239) imply: % 79.44/11.82 | | (247) all_97_3 = all_85_1 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (247) implies: % 79.44/11.82 | | (248) all_97_3 = all_85_1 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (245), (246) imply: % 79.44/11.82 | | (249) all_89_1 = all_49_5 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (200), (237) imply: % 79.44/11.82 | | (250) all_97_2 = 0 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (250) implies: % 79.44/11.82 | | (251) all_97_2 = 0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (242), (243) imply: % 79.44/11.82 | | (252) all_73_1 = all_61_0 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (252) implies: % 79.44/11.82 | | (253) all_73_1 = all_61_0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (217), (233) imply: % 79.44/11.82 | | (254) all_95_0 = all_87_0 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (254) implies: % 79.44/11.82 | | (255) all_95_0 = all_87_0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (241), (248) imply: % 79.44/11.82 | | (256) all_93_2 = all_85_1 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (240), (241) imply: % 79.44/11.82 | | (257) all_93_2 = all_87_1 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (213), (215) imply: % 79.44/11.82 | | (258) all_95_2 = 0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (213), (214) imply: % 79.44/11.82 | | (259) all_95_2 = all_87_2 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (216), (255) imply: % 79.44/11.82 | | (260) all_93_0 = all_87_0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (258), (259) imply: % 79.44/11.82 | | (261) all_87_2 = 0 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (261) implies: % 79.44/11.82 | | (262) all_87_2 = 0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (256), (257) imply: % 79.44/11.82 | | (263) all_87_1 = all_85_1 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (263) implies: % 79.44/11.82 | | (264) all_87_1 = all_85_1 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (207), (264) imply: % 79.44/11.82 | | (265) all_85_1 = 0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (223), (224) imply: % 79.44/11.82 | | (266) all_69_0 = all_65_0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (222), (223) imply: % 79.44/11.82 | | (267) all_73_1 = all_69_0 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (267) implies: % 79.44/11.82 | | (268) all_73_1 = all_69_0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (195), (196) imply: % 79.44/11.82 | | (269) all_73_2 = 0 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (269) implies: % 79.44/11.82 | | (270) all_73_2 = 0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (253), (268) imply: % 79.44/11.82 | | (271) all_69_0 = all_61_0 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (271) implies: % 79.44/11.82 | | (272) all_69_0 = all_61_0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (220), (221) imply: % 79.44/11.82 | | (273) all_67_1 = all_63_1 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (273) implies: % 79.44/11.82 | | (274) all_67_1 = all_63_1 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (266), (272) imply: % 79.44/11.82 | | (275) all_65_0 = all_61_0 % 79.44/11.82 | | % 79.44/11.82 | | SIMP: (275) implies: % 79.44/11.82 | | (276) all_65_0 = all_61_0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (223), (272) imply: % 79.44/11.82 | | (277) all_75_1 = all_61_0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (256), (265) imply: % 79.44/11.82 | | (278) all_93_2 = 0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (241), (278) imply: % 79.44/11.82 | | (279) all_97_3 = 0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (210), (279) imply: % 79.44/11.82 | | (280) all_115_3 = 0 % 79.44/11.82 | | % 79.44/11.82 | | COMBINE_EQS: (231), (249) imply: % 79.44/11.82 | | (281) all_115_1 = all_49_5 % 79.44/11.82 | | % 79.44/11.82 | | REDUCE: (119), (221) imply: % 79.44/11.82 | | (282) element(all_49_4, all_63_1) = all_71_0 % 79.44/11.82 | | % 79.44/11.82 | | REDUCE: (114), (274) imply: % 79.44/11.82 | | (283) element(all_49_4, all_63_1) = all_67_0 % 79.44/11.82 | | % 79.44/11.82 | | REDUCE: (127), (277) imply: % 79.44/11.82 | | (284) empty(all_61_0) = all_75_0 % 79.44/11.82 | | % 79.44/11.82 | | REDUCE: (123), (253) imply: % 79.44/11.82 | | (285) empty(all_61_0) = all_73_0 % 79.44/11.82 | | % 79.44/11.82 | | REDUCE: (110), (276) imply: % 79.44/11.82 | | (286) empty(all_61_0) = 0 % 79.44/11.82 | | % 79.44/11.82 | | REDUCE: (171), (281) imply: % 79.44/11.82 | | (287) in(all_49_7, all_49_5) = all_115_0 % 79.44/11.82 | | % 79.44/11.82 | | REDUCE: (109), (276) imply: % 79.44/11.83 | | (288) $i(all_61_0) % 79.44/11.83 | | % 79.44/11.83 | | BETA: splitting (135) gives: % 79.44/11.83 | | % 79.44/11.83 | | Case 1: % 79.44/11.83 | | | % 79.44/11.83 | | | (289) ~ (all_87_1 = 0) % 79.44/11.83 | | | % 79.44/11.83 | | | REDUCE: (207), (289) imply: % 79.44/11.83 | | | (290) $false % 79.44/11.83 | | | % 79.44/11.83 | | | CLOSE: (290) is inconsistent. % 79.44/11.83 | | | % 79.44/11.83 | | Case 2: % 79.44/11.83 | | | % 79.44/11.83 | | | (291) ~ (all_87_2 = 0) | all_87_0 = 0 % 79.44/11.83 | | | % 79.44/11.83 | | | BETA: splitting (175) gives: % 79.44/11.83 | | | % 79.44/11.83 | | | Case 1: % 79.44/11.83 | | | | % 79.44/11.83 | | | | (292) ~ (all_115_2 = 0) % 79.44/11.83 | | | | % 79.44/11.83 | | | | REDUCE: (201), (292) imply: % 79.44/11.83 | | | | (293) $false % 79.44/11.83 | | | | % 79.44/11.83 | | | | CLOSE: (293) is inconsistent. % 79.44/11.83 | | | | % 79.44/11.83 | | | Case 2: % 79.44/11.83 | | | | % 79.44/11.83 | | | | (294) ~ (all_115_3 = 0) | ( ! [v0: $i] : ! [v1: $i] : ( ~ % 79.44/11.83 | | | | (all_115_0 = 0) | ~ (apply(v0, all_49_3) = v1) | ~ $i(v0) % 79.44/11.83 | | | | | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : % 79.44/11.83 | | | | (apply(v4, all_49_7) = v5 & relation_composition(all_49_6, % 79.44/11.83 | | | | v0) = v4 & relation(v0) = v2 & function(v0) = v3 & % 79.44/11.83 | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v1))) % 79.44/11.83 | | | | & ! [v0: $i] : ! [v1: $i] : ( ~ (all_115_0 = 0) | ~ % 79.44/11.83 | | | | (relation_composition(all_49_6, v0) = v1) | ~ $i(v0) | ? % 79.44/11.83 | | | | [v2: any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : % 79.44/11.83 | | | | (apply(v1, all_49_7) = v4 & apply(v0, all_49_3) = v5 & % 79.44/11.83 | | | | relation(v0) = v2 & function(v0) = v3 & $i(v5) & $i(v4) & % 79.44/11.83 | | | | ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v4))) & ! [v0: $i] : ( % 79.44/11.83 | | | | ~ (all_115_0 = 0) | ~ (relation(v0) = 0) | ~ $i(v0) | ? % 79.44/11.83 | | | | [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 79.44/11.83 | | | | (apply(v2, all_49_7) = v3 & apply(v0, all_49_3) = v4 & % 79.44/11.83 | | | | relation_composition(all_49_6, v0) = v2 & function(v0) = % 79.44/11.83 | | | | v1 & $i(v4) & $i(v3) & $i(v2) & ( ~ (v1 = 0) | v4 = v3))) % 79.44/11.83 | | | | & ! [v0: $i] : ( ~ (all_115_0 = 0) | ~ (function(v0) = 0) | % 79.44/11.83 | | | | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? % 79.44/11.83 | | | | [v4: $i] : (apply(v2, all_49_7) = v3 & apply(v0, all_49_3) % 79.44/11.83 | | | | = v4 & relation_composition(all_49_6, v0) = v2 & % 79.44/11.83 | | | | relation(v0) = v1 & $i(v4) & $i(v3) & $i(v2) & ( ~ (v1 = % 79.44/11.83 | | | | 0) | v4 = v3)))) % 79.44/11.83 | | | | % 79.44/11.83 | | | | BETA: splitting (152) gives: % 79.44/11.83 | | | | % 79.44/11.83 | | | | Case 1: % 79.44/11.83 | | | | | % 79.44/11.83 | | | | | (295) ~ (all_97_2 = 0) % 79.44/11.83 | | | | | % 79.44/11.83 | | | | | REDUCE: (251), (295) imply: % 79.44/11.83 | | | | | (296) $false % 79.44/11.83 | | | | | % 79.44/11.83 | | | | | CLOSE: (296) is inconsistent. % 79.44/11.83 | | | | | % 79.44/11.83 | | | | Case 2: % 79.44/11.83 | | | | | % 79.44/11.83 | | | | | (297) ~ (all_97_3 = 0) | ~ (all_97_4 = 0) | ~ (all_97_5 = 0) | % 79.44/11.83 | | | | | (all_97_0 = 0 & all_97_1 = 0) % 79.44/11.83 | | | | | % 79.44/11.83 | | | | | BETA: splitting (297) gives: % 79.44/11.83 | | | | | % 79.44/11.83 | | | | | Case 1: % 79.44/11.83 | | | | | | % 79.44/11.83 | | | | | | (298) ~ (all_97_3 = 0) % 79.44/11.83 | | | | | | % 79.44/11.83 | | | | | | REDUCE: (279), (298) imply: % 79.44/11.83 | | | | | | (299) $false % 79.44/11.83 | | | | | | % 79.44/11.83 | | | | | | CLOSE: (299) is inconsistent. % 79.44/11.83 | | | | | | % 79.44/11.83 | | | | | Case 2: % 79.44/11.83 | | | | | | % 79.44/11.83 | | | | | | (300) ~ (all_97_4 = 0) | ~ (all_97_5 = 0) | (all_97_0 = 0 & % 79.44/11.83 | | | | | | all_97_1 = 0) % 79.44/11.83 | | | | | | % 79.44/11.83 | | | | | | BETA: splitting (300) gives: % 79.44/11.83 | | | | | | % 79.44/11.83 | | | | | | Case 1: % 79.44/11.83 | | | | | | | % 79.44/11.83 | | | | | | | (301) ~ (all_97_4 = 0) % 79.44/11.83 | | | | | | | % 79.44/11.83 | | | | | | | REDUCE: (203), (301) imply: % 79.44/11.83 | | | | | | | (302) $false % 79.44/11.83 | | | | | | | % 79.44/11.83 | | | | | | | CLOSE: (302) is inconsistent. % 79.44/11.83 | | | | | | | % 79.44/11.83 | | | | | | Case 2: % 79.44/11.83 | | | | | | | % 79.44/11.83 | | | | | | | (303) ~ (all_97_5 = 0) | (all_97_0 = 0 & all_97_1 = 0) % 79.44/11.83 | | | | | | | % 79.44/11.83 | | | | | | | BETA: splitting (291) gives: % 79.44/11.83 | | | | | | | % 79.44/11.83 | | | | | | | Case 1: % 79.44/11.83 | | | | | | | | % 79.44/11.83 | | | | | | | | (304) ~ (all_87_2 = 0) % 79.44/11.83 | | | | | | | | % 79.44/11.83 | | | | | | | | REDUCE: (262), (304) imply: % 79.44/11.83 | | | | | | | | (305) $false % 79.44/11.83 | | | | | | | | % 79.44/11.83 | | | | | | | | CLOSE: (305) is inconsistent. % 79.44/11.83 | | | | | | | | % 79.44/11.83 | | | | | | | Case 2: % 79.44/11.83 | | | | | | | | % 79.44/11.83 | | | | | | | | (306) all_87_0 = 0 % 79.44/11.83 | | | | | | | | % 79.44/11.83 | | | | | | | | REDUCE: (134), (306) imply: % 79.44/11.83 | | | | | | | | (307) relation(all_49_1) = 0 % 79.44/11.83 | | | | | | | | % 79.44/11.83 | | | | | | | | BETA: splitting (294) gives: % 79.44/11.83 | | | | | | | | % 79.44/11.83 | | | | | | | | Case 1: % 79.44/11.83 | | | | | | | | | % 79.44/11.83 | | | | | | | | | (308) ~ (all_115_3 = 0) % 79.44/11.83 | | | | | | | | | % 79.44/11.83 | | | | | | | | | REDUCE: (280), (308) imply: % 79.44/11.83 | | | | | | | | | (309) $false % 79.44/11.83 | | | | | | | | | % 79.44/11.83 | | | | | | | | | CLOSE: (309) is inconsistent. % 79.44/11.83 | | | | | | | | | % 79.44/11.83 | | | | | | | | Case 2: % 79.44/11.83 | | | | | | | | | % 79.44/11.83 | | | | | | | | | (310) ! [v0: $i] : ! [v1: $i] : ( ~ (all_115_0 = 0) | ~ % 79.44/11.83 | | | | | | | | | (apply(v0, all_49_3) = v1) | ~ $i(v0) | ? [v2: % 79.44/11.83 | | | | | | | | | any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : % 79.44/11.83 | | | | | | | | | (apply(v4, all_49_7) = v5 & % 79.44/11.83 | | | | | | | | | relation_composition(all_49_6, v0) = v4 & % 79.44/11.83 | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & $i(v5) & % 79.44/11.83 | | | | | | | | | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v1))) % 79.44/11.83 | | | | | | | | | & ! [v0: $i] : ! [v1: $i] : ( ~ (all_115_0 = 0) | % 79.44/11.83 | | | | | | | | | ~ (relation_composition(all_49_6, v0) = v1) | ~ % 79.44/11.83 | | | | | | | | | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] % 79.44/11.83 | | | | | | | | | : ? [v5: $i] : (apply(v1, all_49_7) = v4 & % 79.44/11.83 | | | | | | | | | apply(v0, all_49_3) = v5 & relation(v0) = v2 & % 79.44/11.83 | | | | | | | | | function(v0) = v3 & $i(v5) & $i(v4) & ( ~ (v3 = % 79.44/11.83 | | | | | | | | | 0) | ~ (v2 = 0) | v5 = v4))) & ! [v0: $i] : % 79.44/11.83 | | | | | | | | | ( ~ (all_115_0 = 0) | ~ (relation(v0) = 0) | ~ % 79.44/11.83 | | | | | | | | | $i(v0) | ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 79.44/11.83 | | | | | | | | | ? [v4: $i] : (apply(v2, all_49_7) = v3 & apply(v0, % 79.44/11.83 | | | | | | | | | all_49_3) = v4 & relation_composition(all_49_6, % 79.44/11.83 | | | | | | | | | v0) = v2 & function(v0) = v1 & $i(v4) & $i(v3) % 79.44/11.83 | | | | | | | | | & $i(v2) & ( ~ (v1 = 0) | v4 = v3))) & ! [v0: % 79.44/11.83 | | | | | | | | | $i] : ( ~ (all_115_0 = 0) | ~ (function(v0) = 0) | % 79.44/11.83 | | | | | | | | | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ? [v3: % 79.44/11.83 | | | | | | | | | $i] : ? [v4: $i] : (apply(v2, all_49_7) = v3 & % 79.44/11.83 | | | | | | | | | apply(v0, all_49_3) = v4 & % 79.44/11.83 | | | | | | | | | relation_composition(all_49_6, v0) = v2 & % 79.44/11.83 | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & $i(v2) & ( % 79.44/11.83 | | | | | | | | | ~ (v1 = 0) | v4 = v3))) % 79.44/11.83 | | | | | | | | | % 79.44/11.83 | | | | | | | | | ALPHA: (310) implies: % 79.44/11.83 | | | | | | | | | (311) ! [v0: $i] : ( ~ (all_115_0 = 0) | ~ (function(v0) % 79.44/11.83 | | | | | | | | | = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : % 79.44/11.83 | | | | | | | | | ? [v3: $i] : ? [v4: $i] : (apply(v2, all_49_7) = % 79.44/11.83 | | | | | | | | | v3 & apply(v0, all_49_3) = v4 & % 79.44/11.83 | | | | | | | | | relation_composition(all_49_6, v0) = v2 & % 79.44/11.83 | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & $i(v2) & ( % 79.44/11.83 | | | | | | | | | ~ (v1 = 0) | v4 = v3))) % 79.44/11.83 | | | | | | | | | (312) ! [v0: $i] : ( ~ (all_115_0 = 0) | ~ (relation(v0) % 79.44/11.83 | | | | | | | | | = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : % 79.44/11.83 | | | | | | | | | ? [v3: $i] : ? [v4: $i] : (apply(v2, all_49_7) = % 79.44/11.83 | | | | | | | | | v3 & apply(v0, all_49_3) = v4 & % 79.44/11.83 | | | | | | | | | relation_composition(all_49_6, v0) = v2 & % 79.44/11.83 | | | | | | | | | function(v0) = v1 & $i(v4) & $i(v3) & $i(v2) & ( % 79.44/11.83 | | | | | | | | | ~ (v1 = 0) | v4 = v3))) % 79.44/11.83 | | | | | | | | | % 79.44/11.83 | | | | | | | | | GROUND_INST: instantiating (311) with all_36_0, simplifying % 79.44/11.83 | | | | | | | | | with (34), (35) gives: % 79.44/11.83 | | | | | | | | | (313) ~ (all_115_0 = 0) | ? [v0: any] : ? [v1: $i] : ? % 79.44/11.83 | | | | | | | | | [v2: $i] : ? [v3: $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.83 | | | | | | | | | apply(all_36_0, all_49_3) = v3 & % 79.44/11.83 | | | | | | | | | relation_composition(all_49_6, all_36_0) = v1 & % 79.44/11.83 | | | | | | | | | relation(all_36_0) = v0 & $i(v3) & $i(v2) & $i(v1) % 79.44/11.83 | | | | | | | | | & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.83 | | | | | | | | | % 79.44/11.83 | | | | | | | | | GROUND_INST: instantiating (311) with all_49_6, simplifying % 79.44/11.83 | | | | | | | | | with (53), (60) gives: % 79.44/11.83 | | | | | | | | | (314) ~ (all_115_0 = 0) | ? [v0: any] : ? [v1: $i] : ? % 79.44/11.83 | | | | | | | | | [v2: $i] : ? [v3: $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.83 | | | | | | | | | apply(all_49_6, all_49_3) = v3 & % 79.44/11.83 | | | | | | | | | relation_composition(all_49_6, all_49_6) = v1 & % 79.44/11.83 | | | | | | | | | relation(all_49_6) = v0 & $i(v3) & $i(v2) & $i(v1) % 79.44/11.83 | | | | | | | | | & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.83 | | | | | | | | | % 79.44/11.83 | | | | | | | | | GROUND_INST: instantiating (312) with empty_set, simplifying % 79.44/11.83 | | | | | | | | | with (8), (19) gives: % 79.44/11.83 | | | | | | | | | (315) ~ (all_115_0 = 0) | ? [v0: any] : ? [v1: $i] : ? % 79.44/11.83 | | | | | | | | | [v2: $i] : ? [v3: $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.83 | | | | | | | | | apply(empty_set, all_49_3) = v3 & % 79.44/11.83 | | | | | | | | | relation_composition(all_49_6, empty_set) = v1 & % 79.44/11.83 | | | | | | | | | function(empty_set) = v0 & $i(v3) & $i(v2) & $i(v1) % 79.44/11.83 | | | | | | | | | & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.83 | | | | | | | | | % 79.44/11.83 | | | | | | | | | GROUND_INST: instantiating (312) with all_36_0, simplifying % 79.44/11.83 | | | | | | | | | with (34), (36) gives: % 79.44/11.83 | | | | | | | | | (316) ~ (all_115_0 = 0) | ? [v0: any] : ? [v1: $i] : ? % 79.44/11.83 | | | | | | | | | [v2: $i] : ? [v3: $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.83 | | | | | | | | | apply(all_36_0, all_49_3) = v3 & % 79.44/11.83 | | | | | | | | | relation_composition(all_49_6, all_36_0) = v1 & % 79.44/11.83 | | | | | | | | | function(all_36_0) = v0 & $i(v3) & $i(v2) & $i(v1) % 79.44/11.83 | | | | | | | | | & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.83 | | | | | | | | | % 79.44/11.83 | | | | | | | | | GROUND_INST: instantiating (312) with all_41_0, simplifying % 79.44/11.83 | | | | | | | | | with (42), (43) gives: % 79.44/11.83 | | | | | | | | | (317) ~ (all_115_0 = 0) | ? [v0: any] : ? [v1: $i] : ? % 79.44/11.83 | | | | | | | | | [v2: $i] : ? [v3: $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.83 | | | | | | | | | apply(all_41_0, all_49_3) = v3 & % 79.44/11.83 | | | | | | | | | relation_composition(all_49_6, all_41_0) = v1 & % 79.44/11.83 | | | | | | | | | function(all_41_0) = v0 & $i(v3) & $i(v2) & $i(v1) % 79.44/11.83 | | | | | | | | | & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.83 | | | | | | | | | % 79.44/11.83 | | | | | | | | | GROUND_INST: instantiating (312) with all_45_1, simplifying % 79.44/11.83 | | | | | | | | | with (46), (48) gives: % 79.44/11.83 | | | | | | | | | (318) ~ (all_115_0 = 0) | ? [v0: any] : ? [v1: $i] : ? % 79.44/11.83 | | | | | | | | | [v2: $i] : ? [v3: $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.83 | | | | | | | | | apply(all_45_1, all_49_3) = v3 & % 79.44/11.83 | | | | | | | | | relation_composition(all_49_6, all_45_1) = v1 & % 79.44/11.83 | | | | | | | | | function(all_45_1) = v0 & $i(v3) & $i(v2) & $i(v1) % 79.44/11.83 | | | | | | | | | & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.83 | | | | | | | | | % 79.44/11.83 | | | | | | | | | GROUND_INST: instantiating (312) with all_49_6, simplifying % 79.44/11.83 | | | | | | | | | with (53), (61) gives: % 79.44/11.84 | | | | | | | | | (319) ~ (all_115_0 = 0) | ? [v0: any] : ? [v1: $i] : ? % 79.44/11.84 | | | | | | | | | [v2: $i] : ? [v3: $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.84 | | | | | | | | | apply(all_49_6, all_49_3) = v3 & % 79.44/11.84 | | | | | | | | | relation_composition(all_49_6, all_49_6) = v1 & % 79.44/11.84 | | | | | | | | | function(all_49_6) = v0 & $i(v3) & $i(v2) & $i(v1) % 79.44/11.84 | | | | | | | | | & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.84 | | | | | | | | | % 79.44/11.84 | | | | | | | | | BETA: splitting (303) gives: % 79.44/11.84 | | | | | | | | | % 79.44/11.84 | | | | | | | | | Case 1: % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | (320) ~ (all_97_5 = 0) % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | REDUCE: (215), (320) imply: % 79.44/11.84 | | | | | | | | | | (321) $false % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | CLOSE: (321) is inconsistent. % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | Case 2: % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | (322) all_97_0 = 0 & all_97_1 = 0 % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | ALPHA: (322) implies: % 79.44/11.84 | | | | | | | | | | (323) all_97_0 = 0 % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | REDUCE: (148), (323) imply: % 79.44/11.84 | | | | | | | | | | (324) function(all_49_1) = 0 % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | GROUND_INST: instantiating (26) with 0, all_115_0, all_49_5, % 79.44/11.84 | | | | | | | | | | all_49_7, simplifying with (84), (287) gives: % 79.44/11.84 | | | | | | | | | | (325) all_115_0 = 0 % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | GROUND_INST: instantiating (21) with 0, all_75_0, all_61_0, % 79.44/11.84 | | | | | | | | | | simplifying with (284), (286) gives: % 79.44/11.84 | | | | | | | | | | (326) all_75_0 = 0 % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | GROUND_INST: instantiating (21) with all_73_0, all_75_0, % 79.44/11.84 | | | | | | | | | | all_61_0, simplifying with (284), (285) gives: % 79.44/11.84 | | | | | | | | | | (327) all_75_0 = all_73_0 % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | GROUND_INST: instantiating (28) with all_63_0, all_71_0, % 79.44/11.84 | | | | | | | | | | all_63_1, all_49_4, simplifying with (106), (282) % 79.44/11.84 | | | | | | | | | | gives: % 79.44/11.84 | | | | | | | | | | (328) all_71_0 = all_63_0 % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | GROUND_INST: instantiating (28) with all_67_0, all_71_0, % 79.44/11.84 | | | | | | | | | | all_63_1, all_49_4, simplifying with (282), (283) % 79.44/11.84 | | | | | | | | | | gives: % 79.44/11.84 | | | | | | | | | | (329) all_71_0 = all_67_0 % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | COMBINE_EQS: (326), (327) imply: % 79.44/11.84 | | | | | | | | | | (330) all_73_0 = 0 % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | SIMP: (330) implies: % 79.44/11.84 | | | | | | | | | | (331) all_73_0 = 0 % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | COMBINE_EQS: (328), (329) imply: % 79.44/11.84 | | | | | | | | | | (332) all_67_0 = all_63_0 % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | SIMP: (332) implies: % 79.44/11.84 | | | | | | | | | | (333) all_67_0 = all_63_0 % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | REDUCE: (113), (333) imply: % 79.44/11.84 | | | | | | | | | | (334) ~ (all_63_0 = 0) % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | BETA: splitting (319) gives: % 79.44/11.84 | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | Case 1: % 79.44/11.84 | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | (335) ~ (all_115_0 = 0) % 79.44/11.84 | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | REDUCE: (325), (335) imply: % 79.44/11.84 | | | | | | | | | | | (336) $false % 79.44/11.84 | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | CLOSE: (336) is inconsistent. % 79.44/11.84 | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | Case 2: % 79.44/11.84 | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | (337) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 79.44/11.84 | | | | | | | | | | | $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.84 | | | | | | | | | | | apply(all_49_6, all_49_3) = v3 & % 79.44/11.84 | | | | | | | | | | | relation_composition(all_49_6, all_49_6) = v1 & % 79.44/11.84 | | | | | | | | | | | function(all_49_6) = v0 & $i(v3) & $i(v2) & % 79.44/11.84 | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.84 | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | DELTA: instantiating (337) with fresh symbols all_200_0, % 79.44/11.84 | | | | | | | | | | | all_200_1, all_200_2, all_200_3 gives: % 79.44/11.84 | | | | | | | | | | | (338) apply(all_200_2, all_49_7) = all_200_1 & % 79.44/11.84 | | | | | | | | | | | apply(all_49_6, all_49_3) = all_200_0 & % 79.44/11.84 | | | | | | | | | | | relation_composition(all_49_6, all_49_6) = % 79.44/11.84 | | | | | | | | | | | all_200_2 & function(all_49_6) = all_200_3 & % 79.44/11.84 | | | | | | | | | | | $i(all_200_0) & $i(all_200_1) & $i(all_200_2) & ( % 79.44/11.84 | | | | | | | | | | | ~ (all_200_3 = 0) | all_200_0 = all_200_1) % 79.44/11.84 | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | ALPHA: (338) implies: % 79.44/11.84 | | | | | | | | | | | (339) function(all_49_6) = all_200_3 % 79.44/11.84 | | | | | | | | | | | (340) relation_composition(all_49_6, all_49_6) = % 79.44/11.84 | | | | | | | | | | | all_200_2 % 79.44/11.84 | | | | | | | | | | | (341) apply(all_49_6, all_49_3) = all_200_0 % 79.44/11.84 | | | | | | | | | | | (342) ~ (all_200_3 = 0) | all_200_0 = all_200_1 % 79.44/11.84 | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | BETA: splitting (316) gives: % 79.44/11.84 | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | Case 1: % 79.44/11.84 | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | (343) ~ (all_115_0 = 0) % 79.44/11.84 | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | REDUCE: (325), (343) imply: % 79.44/11.84 | | | | | | | | | | | | (344) $false % 79.44/11.84 | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | CLOSE: (344) is inconsistent. % 79.44/11.84 | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | Case 2: % 79.44/11.84 | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | (345) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 79.44/11.84 | | | | | | | | | | | | $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.84 | | | | | | | | | | | | apply(all_36_0, all_49_3) = v3 & % 79.44/11.84 | | | | | | | | | | | | relation_composition(all_49_6, all_36_0) = v1 & % 79.44/11.84 | | | | | | | | | | | | function(all_36_0) = v0 & $i(v3) & $i(v2) & % 79.44/11.84 | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.84 | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | DELTA: instantiating (345) with fresh symbols all_205_0, % 79.44/11.84 | | | | | | | | | | | | all_205_1, all_205_2, all_205_3 gives: % 79.44/11.84 | | | | | | | | | | | | (346) apply(all_205_2, all_49_7) = all_205_1 & % 79.44/11.84 | | | | | | | | | | | | apply(all_36_0, all_49_3) = all_205_0 & % 79.44/11.84 | | | | | | | | | | | | relation_composition(all_49_6, all_36_0) = % 79.44/11.84 | | | | | | | | | | | | all_205_2 & function(all_36_0) = all_205_3 & % 79.44/11.84 | | | | | | | | | | | | $i(all_205_0) & $i(all_205_1) & $i(all_205_2) & ( % 79.44/11.84 | | | | | | | | | | | | ~ (all_205_3 = 0) | all_205_0 = all_205_1) % 79.44/11.84 | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | ALPHA: (346) implies: % 79.44/11.84 | | | | | | | | | | | | (347) relation_composition(all_49_6, all_36_0) = % 79.44/11.84 | | | | | | | | | | | | all_205_2 % 79.44/11.84 | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | BETA: splitting (314) gives: % 79.44/11.84 | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | Case 1: % 79.44/11.84 | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | (348) ~ (all_115_0 = 0) % 79.44/11.84 | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | REDUCE: (325), (348) imply: % 79.44/11.84 | | | | | | | | | | | | | (349) $false % 79.44/11.84 | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | CLOSE: (349) is inconsistent. % 79.44/11.84 | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | Case 2: % 79.44/11.84 | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | (350) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 79.44/11.84 | | | | | | | | | | | | | $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.84 | | | | | | | | | | | | | apply(all_49_6, all_49_3) = v3 & % 79.44/11.84 | | | | | | | | | | | | | relation_composition(all_49_6, all_49_6) = v1 & % 79.44/11.84 | | | | | | | | | | | | | relation(all_49_6) = v0 & $i(v3) & $i(v2) & % 79.44/11.84 | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.84 | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | DELTA: instantiating (350) with fresh symbols all_210_0, % 79.44/11.84 | | | | | | | | | | | | | all_210_1, all_210_2, all_210_3 gives: % 79.44/11.84 | | | | | | | | | | | | | (351) apply(all_210_2, all_49_7) = all_210_1 & % 79.44/11.84 | | | | | | | | | | | | | apply(all_49_6, all_49_3) = all_210_0 & % 79.44/11.84 | | | | | | | | | | | | | relation_composition(all_49_6, all_49_6) = % 79.44/11.84 | | | | | | | | | | | | | all_210_2 & relation(all_49_6) = all_210_3 & % 79.44/11.84 | | | | | | | | | | | | | $i(all_210_0) & $i(all_210_1) & $i(all_210_2) & ( % 79.44/11.84 | | | | | | | | | | | | | ~ (all_210_3 = 0) | all_210_0 = all_210_1) % 79.44/11.84 | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | ALPHA: (351) implies: % 79.44/11.84 | | | | | | | | | | | | | (352) relation(all_49_6) = all_210_3 % 79.44/11.84 | | | | | | | | | | | | | (353) relation_composition(all_49_6, all_49_6) = % 79.44/11.84 | | | | | | | | | | | | | all_210_2 % 79.44/11.84 | | | | | | | | | | | | | (354) apply(all_49_6, all_49_3) = all_210_0 % 79.44/11.84 | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | BETA: splitting (315) gives: % 79.44/11.84 | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | Case 1: % 79.44/11.84 | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | (355) ~ (all_115_0 = 0) % 79.44/11.84 | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | REDUCE: (325), (355) imply: % 79.44/11.84 | | | | | | | | | | | | | | (356) $false % 79.44/11.84 | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | CLOSE: (356) is inconsistent. % 79.44/11.84 | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | Case 2: % 79.44/11.84 | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | (357) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 79.44/11.84 | | | | | | | | | | | | | | $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.84 | | | | | | | | | | | | | | apply(empty_set, all_49_3) = v3 & % 79.44/11.84 | | | | | | | | | | | | | | relation_composition(all_49_6, empty_set) = v1 & % 79.44/11.84 | | | | | | | | | | | | | | function(empty_set) = v0 & $i(v3) & $i(v2) & % 79.44/11.84 | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.84 | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | DELTA: instantiating (357) with fresh symbols all_215_0, % 79.44/11.84 | | | | | | | | | | | | | | all_215_1, all_215_2, all_215_3 gives: % 79.44/11.84 | | | | | | | | | | | | | | (358) apply(all_215_2, all_49_7) = all_215_1 & % 79.44/11.84 | | | | | | | | | | | | | | apply(empty_set, all_49_3) = all_215_0 & % 79.44/11.84 | | | | | | | | | | | | | | relation_composition(all_49_6, empty_set) = % 79.44/11.84 | | | | | | | | | | | | | | all_215_2 & function(empty_set) = all_215_3 & % 79.44/11.84 | | | | | | | | | | | | | | $i(all_215_0) & $i(all_215_1) & $i(all_215_2) & ( % 79.44/11.84 | | | | | | | | | | | | | | ~ (all_215_3 = 0) | all_215_0 = all_215_1) % 79.44/11.84 | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | ALPHA: (358) implies: % 79.44/11.84 | | | | | | | | | | | | | | (359) function(empty_set) = all_215_3 % 79.44/11.84 | | | | | | | | | | | | | | (360) relation_composition(all_49_6, empty_set) = % 79.44/11.84 | | | | | | | | | | | | | | all_215_2 % 79.44/11.84 | | | | | | | | | | | | | | (361) ~ (all_215_3 = 0) | all_215_0 = all_215_1 % 79.44/11.84 | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | BETA: splitting (313) gives: % 79.44/11.84 | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | Case 1: % 79.44/11.84 | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | (362) ~ (all_115_0 = 0) % 79.44/11.84 | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | REDUCE: (325), (362) imply: % 79.44/11.84 | | | | | | | | | | | | | | | (363) $false % 79.44/11.84 | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | CLOSE: (363) is inconsistent. % 79.44/11.84 | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | Case 2: % 79.44/11.84 | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | (364) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 79.44/11.84 | | | | | | | | | | | | | | | $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.84 | | | | | | | | | | | | | | | apply(all_36_0, all_49_3) = v3 & % 79.44/11.84 | | | | | | | | | | | | | | | relation_composition(all_49_6, all_36_0) = v1 & % 79.44/11.84 | | | | | | | | | | | | | | | relation(all_36_0) = v0 & $i(v3) & $i(v2) & % 79.44/11.84 | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.84 | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | DELTA: instantiating (364) with fresh symbols all_220_0, % 79.44/11.84 | | | | | | | | | | | | | | | all_220_1, all_220_2, all_220_3 gives: % 79.44/11.84 | | | | | | | | | | | | | | | (365) apply(all_220_2, all_49_7) = all_220_1 & % 79.44/11.84 | | | | | | | | | | | | | | | apply(all_36_0, all_49_3) = all_220_0 & % 79.44/11.84 | | | | | | | | | | | | | | | relation_composition(all_49_6, all_36_0) = % 79.44/11.84 | | | | | | | | | | | | | | | all_220_2 & relation(all_36_0) = all_220_3 & % 79.44/11.84 | | | | | | | | | | | | | | | $i(all_220_0) & $i(all_220_1) & $i(all_220_2) & ( % 79.44/11.84 | | | | | | | | | | | | | | | ~ (all_220_3 = 0) | all_220_0 = all_220_1) % 79.44/11.84 | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | ALPHA: (365) implies: % 79.44/11.84 | | | | | | | | | | | | | | | (366) relation_composition(all_49_6, all_36_0) = % 79.44/11.84 | | | | | | | | | | | | | | | all_220_2 % 79.44/11.84 | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | BETA: splitting (318) gives: % 79.44/11.84 | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | Case 1: % 79.44/11.84 | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | | (367) ~ (all_115_0 = 0) % 79.44/11.84 | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | | REDUCE: (325), (367) imply: % 79.44/11.84 | | | | | | | | | | | | | | | | (368) $false % 79.44/11.84 | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | | CLOSE: (368) is inconsistent. % 79.44/11.84 | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | Case 2: % 79.44/11.84 | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | | (369) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 79.44/11.84 | | | | | | | | | | | | | | | | $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.84 | | | | | | | | | | | | | | | | apply(all_45_1, all_49_3) = v3 & % 79.44/11.84 | | | | | | | | | | | | | | | | relation_composition(all_49_6, all_45_1) = v1 & % 79.44/11.84 | | | | | | | | | | | | | | | | function(all_45_1) = v0 & $i(v3) & $i(v2) & % 79.44/11.84 | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.84 | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | | DELTA: instantiating (369) with fresh symbols all_225_0, % 79.44/11.84 | | | | | | | | | | | | | | | | all_225_1, all_225_2, all_225_3 gives: % 79.44/11.84 | | | | | | | | | | | | | | | | (370) apply(all_225_2, all_49_7) = all_225_1 & % 79.44/11.84 | | | | | | | | | | | | | | | | apply(all_45_1, all_49_3) = all_225_0 & % 79.44/11.84 | | | | | | | | | | | | | | | | relation_composition(all_49_6, all_45_1) = % 79.44/11.84 | | | | | | | | | | | | | | | | all_225_2 & function(all_45_1) = all_225_3 & % 79.44/11.84 | | | | | | | | | | | | | | | | $i(all_225_0) & $i(all_225_1) & $i(all_225_2) & ( % 79.44/11.84 | | | | | | | | | | | | | | | | ~ (all_225_3 = 0) | all_225_0 = all_225_1) % 79.44/11.84 | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | | ALPHA: (370) implies: % 79.44/11.84 | | | | | | | | | | | | | | | | (371) relation_composition(all_49_6, all_45_1) = % 79.44/11.84 | | | | | | | | | | | | | | | | all_225_2 % 79.44/11.84 | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 79.44/11.84 | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | | Case 1: % 79.44/11.84 | | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | | | (372) ~ (all_115_0 = 0) % 79.44/11.84 | | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | | | REDUCE: (325), (372) imply: % 79.44/11.84 | | | | | | | | | | | | | | | | | (373) $false % 79.44/11.84 | | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | | | CLOSE: (373) is inconsistent. % 79.44/11.84 | | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | | Case 2: % 79.44/11.84 | | | | | | | | | | | | | | | | | % 79.44/11.84 | | | | | | | | | | | | | | | | | (374) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 79.44/11.84 | | | | | | | | | | | | | | | | | $i] : (apply(v1, all_49_7) = v2 & % 79.44/11.84 | | | | | | | | | | | | | | | | | apply(all_41_0, all_49_3) = v3 & % 79.44/11.84 | | | | | | | | | | | | | | | | | relation_composition(all_49_6, all_41_0) = v1 & % 79.44/11.84 | | | | | | | | | | | | | | | | | function(all_41_0) = v0 & $i(v3) & $i(v2) & % 79.44/11.84 | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 79.44/11.85 | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | DELTA: instantiating (374) with fresh symbols all_230_0, % 79.44/11.85 | | | | | | | | | | | | | | | | | all_230_1, all_230_2, all_230_3 gives: % 79.44/11.85 | | | | | | | | | | | | | | | | | (375) apply(all_230_2, all_49_7) = all_230_1 & % 79.44/11.85 | | | | | | | | | | | | | | | | | apply(all_41_0, all_49_3) = all_230_0 & % 79.44/11.85 | | | | | | | | | | | | | | | | | relation_composition(all_49_6, all_41_0) = % 79.44/11.85 | | | | | | | | | | | | | | | | | all_230_2 & function(all_41_0) = all_230_3 & % 79.44/11.85 | | | | | | | | | | | | | | | | | $i(all_230_0) & $i(all_230_1) & $i(all_230_2) & ( % 79.44/11.85 | | | | | | | | | | | | | | | | | ~ (all_230_3 = 0) | all_230_0 = all_230_1) % 79.44/11.85 | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | ALPHA: (375) implies: % 79.44/11.85 | | | | | | | | | | | | | | | | | (376) relation_composition(all_49_6, all_41_0) = % 79.44/11.85 | | | | | | | | | | | | | | | | | all_230_2 % 79.44/11.85 | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_215_3, empty_set, % 79.44/11.85 | | | | | | | | | | | | | | | | | simplifying with (188), (359) gives: % 79.44/11.85 | | | | | | | | | | | | | | | | | (377) all_215_3 = 0 % 79.44/11.85 | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_200_3, all_49_6, % 79.44/11.85 | | | | | | | | | | | | | | | | | simplifying with (60), (339) gives: % 79.44/11.85 | | | | | | | | | | | | | | | | | (378) all_200_3 = 0 % 79.44/11.85 | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_210_3, all_49_6, % 79.44/11.85 | | | | | | | | | | | | | | | | | simplifying with (61), (352) gives: % 79.44/11.85 | | | | | | | | | | | | | | | | | (379) all_210_3 = 0 % 79.44/11.85 | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_205_2, all_220_2, % 79.44/11.85 | | | | | | | | | | | | | | | | | all_36_0, all_49_6, simplifying with (347), (366) % 79.44/11.85 | | | | | | | | | | | | | | | | | gives: % 79.44/11.85 | | | | | | | | | | | | | | | | | (380) all_220_2 = all_205_2 % 79.44/11.85 | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_200_2, all_210_2, % 79.44/11.85 | | | | | | | | | | | | | | | | | all_49_6, all_49_6, simplifying with (340), (353) % 79.44/11.85 | | | | | | | | | | | | | | | | | gives: % 79.44/11.85 | | | | | | | | | | | | | | | | | (381) all_210_2 = all_200_2 % 79.44/11.85 | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_200_0, all_210_0, % 79.44/11.85 | | | | | | | | | | | | | | | | | all_49_3, all_49_6, simplifying with (341), (354) % 79.44/11.85 | | | | | | | | | | | | | | | | | gives: % 79.44/11.85 | | | | | | | | | | | | | | | | | (382) all_210_0 = all_200_0 % 79.44/11.85 | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | BETA: splitting (342) gives: % 79.44/11.85 | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | Case 1: % 79.44/11.85 | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | (383) ~ (all_200_3 = 0) % 79.44/11.85 | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | REDUCE: (378), (383) imply: % 79.44/11.85 | | | | | | | | | | | | | | | | | | (384) $false % 79.44/11.85 | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | CLOSE: (384) is inconsistent. % 79.44/11.85 | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | Case 2: % 79.44/11.85 | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | (385) all_200_0 = all_200_1 % 79.44/11.85 | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | REDUCE: (341), (385) imply: % 79.44/11.85 | | | | | | | | | | | | | | | | | | (386) apply(all_49_6, all_49_3) = all_200_1 % 79.44/11.85 | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives: % 79.44/11.85 | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | Case 1: % 79.44/11.85 | | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | | (387) ~ (all_215_3 = 0) % 79.44/11.85 | | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | | REDUCE: (377), (387) imply: % 79.44/11.85 | | | | | | | | | | | | | | | | | | | (388) $false % 79.44/11.85 | | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | | CLOSE: (388) is inconsistent. % 79.44/11.85 | | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | Case 2: % 79.44/11.85 | | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_49_7, all_49_8, % 79.44/11.85 | | | | | | | | | | | | | | | | | | | empty_set, simplifying with (7), (19), (51), (52), % 79.44/11.85 | | | | | | | | | | | | | | | | | | | (83) gives: % 79.44/11.85 | | | | | | | | | | | | | | | | | | | (389) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 79.44/11.85 | | | | | | | | | | | | | | | | | | | powerset(empty_set) = v0 & element(all_49_8, v0) % 79.44/11.85 | | | | | | | | | | | | | | | | | | | = v1 & $i(v0)) % 79.44/11.85 | | | | | | | | | | | | | | | | | | | % 79.44/11.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_49_7, all_49_6, % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_49_5, 0, simplifying with (52), (53), (65), % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (84) gives: % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (390) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (apply(all_49_6, all_49_7) = v2 & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = v0 & function(all_49_6) = % 79.73/11.85 | | | | | | | | | | | | | | | | | | | v1 & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ! % 79.73/11.85 | | | | | | | | | | | | | | | | | | | [v3: $i] : ! [v4: $i] : ( ~ (apply(v3, v2) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | = v4) | ~ $i(v3) | ? [v5: any] : ? % 79.73/11.85 | | | | | | | | | | | | | | | | | | | [v6: any] : ? [v7: $i] : ? [v8: $i] : % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (apply(v7, all_49_7) = v8 & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v3) = v7 % 79.73/11.85 | | | | | | | | | | | | | | | | | | | & relation(v3) = v5 & function(v3) = v6 % 79.73/11.85 | | | | | | | | | | | | | | | | | | | & $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (v5 = 0) | v8 = v4))) & ! [v3: $i] : % 79.73/11.85 | | | | | | | | | | | | | | | | | | | ! [v4: $i] : ( ~ % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_6, v3) = v4) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | | ~ $i(v3) | ? [v5: any] : ? [v6: any] % 79.73/11.85 | | | | | | | | | | | | | | | | | | | : ? [v7: $i] : ? [v8: $i] : (apply(v4, % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_49_7) = v7 & apply(v3, v2) = v8 & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | relation(v3) = v5 & function(v3) = v6 & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ (v5 % 79.73/11.85 | | | | | | | | | | | | | | | | | | | = 0) | v8 = v7))) & ! [v3: $i] : ( % 79.73/11.85 | | | | | | | | | | | | | | | | | | | ~ (relation(v3) = 0) | ~ $i(v3) | ? [v4: % 79.73/11.85 | | | | | | | | | | | | | | | | | | | any] : ? [v5: $i] : ? [v6: $i] : ? % 79.73/11.85 | | | | | | | | | | | | | | | | | | | [v7: $i] : (apply(v5, all_49_7) = v6 & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | apply(v3, v2) = v7 & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v3) = v5 % 79.73/11.85 | | | | | | | | | | | | | | | | | | | & function(v3) = v4 & $i(v7) & $i(v6) & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | $i(v5) & ( ~ (v4 = 0) | v7 = v6))) & ! % 79.73/11.85 | | | | | | | | | | | | | | | | | | | [v3: $i] : ( ~ (function(v3) = 0) | ~ % 79.73/11.85 | | | | | | | | | | | | | | | | | | | $i(v3) | ? [v4: any] : ? [v5: $i] : ? % 79.73/11.85 | | | | | | | | | | | | | | | | | | | [v6: $i] : ? [v7: $i] : (apply(v5, % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_49_7) = v6 & apply(v3, v2) = v7 & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v3) = v5 % 79.73/11.85 | | | | | | | | | | | | | | | | | | | & relation(v3) = v4 & $i(v7) & $i(v6) & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | $i(v5) & ( ~ (v4 = 0) | v7 = v6)))))) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_49_7, all_49_5, % 79.73/11.85 | | | | | | | | | | | | | | | | | | | empty_set, simplifying with (7), (19), (52), (54), % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (84) gives: % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (391) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | powerset(empty_set) = v0 & element(all_49_5, v0) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | = v1 & $i(v0)) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_49_7, all_49_4, % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_61_0, simplifying with (52), (55), (59), % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (286), (288) gives: % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (392) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | powerset(all_61_0) = v0 & element(all_49_4, v0) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | = v1 & $i(v0)) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_49_7, all_49_5, % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_61_0, simplifying with (52), (54), (84), % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (286), (288) gives: % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (393) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | powerset(all_61_0) = v0 & element(all_49_5, v0) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | = v1 & $i(v0)) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_49_7, all_49_8, % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_61_0, simplifying with (51), (52), (83), % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (286), (288) gives: % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (394) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | powerset(all_61_0) = v0 & element(all_49_8, v0) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | = v1 & $i(v0)) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_61_0, simplifying with % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (286), (288) gives: % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (395) all_61_0 = empty_set % 79.73/11.85 | | | | | | | | | | | | | | | | | | | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_49_8, all_49_2, % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (51), (57), (64), (97) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | gives: % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (396) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (relation_dom(all_49_2) = v1 & relation(all_49_2) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | = v0 & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (v1 = % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_49_8 & ! [v3: $i] : ! [v4: $i] : (v4 = % 79.73/11.85 | | | | | | | | | | | | | | | | | | | v3 | ~ (apply(all_49_2, v3) = v4) | ~ % 79.73/11.85 | | | | | | | | | | | | | | | | | | | $i(v3) | ? [v5: int] : ( ~ (v5 = 0) & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | in(v3, all_49_8) = v5)) & ! [v3: $i] : % 79.73/11.85 | | | | | | | | | | | | | | | | | | | ( ~ (in(v3, all_49_8) = 0) | ~ $i(v3) | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | apply(all_49_2, v3) = v3)))) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_49_8, all_49_1, % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (51), (58), (64), (324) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | gives: % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (397) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 79.73/11.85 | | | | | | | | | | | | | | | | | | | int] : ? [v4: $i] : (relation_dom(all_49_1) = % 79.73/11.85 | | | | | | | | | | | | | | | | | | | v1 & relation(all_49_1) = v0 & $i(v2) & $i(v1) & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (( ~ (v1 = all_49_8) | all_49_1 = % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_49_2 | (v3 = 0 & ~ (v4 = v2) & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | apply(all_49_1, v2) = v4 & in(v2, % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_49_8) = 0 & $i(v4))) & ( ~ % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (all_49_1 = all_49_2) | (v1 = all_49_8 & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | ! [v5: $i] : ! [v6: $i] : (v6 = v5 | ~ % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (apply(all_49_2, v5) = v6) | ~ $i(v5) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | | ? [v7: int] : ( ~ (v7 = 0) & in(v5, % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_49_8) = v7)) & ! [v5: $i] : ( % 79.73/11.85 | | | | | | | | | | | | | | | | | | | ~ (in(v5, all_49_8) = 0) | ~ $i(v5) | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | apply(all_49_2, v5) = v5)))))) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_49_8, all_49_2, % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (51), (57), (64), (96) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | gives: % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (398) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (relation_dom(all_49_2) = v1 & function(all_49_2) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | = v0 & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (v1 = % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_49_8 & ! [v3: $i] : ! [v4: $i] : (v4 = % 79.73/11.85 | | | | | | | | | | | | | | | | | | | v3 | ~ (apply(all_49_2, v3) = v4) | ~ % 79.73/11.85 | | | | | | | | | | | | | | | | | | | $i(v3) | ? [v5: int] : ( ~ (v5 = 0) & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | in(v3, all_49_8) = v5)) & ! [v3: $i] : % 79.73/11.85 | | | | | | | | | | | | | | | | | | | ( ~ (in(v3, all_49_8) = 0) | ~ $i(v3) | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | apply(all_49_2, v3) = v3)))) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (312) with all_49_2, simplifying % 79.73/11.85 | | | | | | | | | | | | | | | | | | | with (57), (96) gives: % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (399) ~ (all_115_0 = 0) | ? [v0: any] : ? [v1: $i] : % 79.73/11.85 | | | | | | | | | | | | | | | | | | | ? [v2: $i] : ? [v3: $i] : (apply(v1, all_49_7) = % 79.73/11.85 | | | | | | | | | | | | | | | | | | | v2 & apply(all_49_2, all_49_3) = v3 & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, all_49_2) = v1 & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | function(all_49_2) = v0 & $i(v3) & $i(v2) & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_49_2, simplifying with % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (57), (96) gives: % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (400) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 79.73/11.85 | | | | | | | | | | | | | | | | | | | (relation_dom(all_49_2) = v1 & empty(v1) = v2 & % 79.73/11.85 | | | | | | | | | | | | | | | | | | | empty(all_49_2) = v0 & $i(v1) & ( ~ (v2 = 0) | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | v0 = 0)) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | % 79.73/11.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_49_8, all_49_1, % 79.73/11.85 | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (51), (58), (64), (307) % 79.73/11.85 | | | | | | | | | | | | | | | | | | | gives: % 79.73/11.86 | | | | | | | | | | | | | | | | | | | (401) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 79.73/11.86 | | | | | | | | | | | | | | | | | | | int] : ? [v4: $i] : (relation_dom(all_49_1) = % 79.73/11.86 | | | | | | | | | | | | | | | | | | | v1 & function(all_49_1) = v0 & $i(v2) & $i(v1) & % 79.73/11.86 | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (( ~ (v1 = all_49_8) | all_49_1 = % 79.73/11.86 | | | | | | | | | | | | | | | | | | | all_49_2 | (v3 = 0 & ~ (v4 = v2) & % 79.73/11.86 | | | | | | | | | | | | | | | | | | | apply(all_49_1, v2) = v4 & in(v2, % 79.73/11.86 | | | | | | | | | | | | | | | | | | | all_49_8) = 0 & $i(v4))) & ( ~ % 79.73/11.86 | | | | | | | | | | | | | | | | | | | (all_49_1 = all_49_2) | (v1 = all_49_8 & % 79.73/11.86 | | | | | | | | | | | | | | | | | | | ! [v5: $i] : ! [v6: $i] : (v6 = v5 | ~ % 79.73/11.86 | | | | | | | | | | | | | | | | | | | (apply(all_49_2, v5) = v6) | ~ $i(v5) % 79.73/11.86 | | | | | | | | | | | | | | | | | | | | ? [v7: int] : ( ~ (v7 = 0) & in(v5, % 79.73/11.86 | | | | | | | | | | | | | | | | | | | all_49_8) = v7)) & ! [v5: $i] : ( % 79.73/11.86 | | | | | | | | | | | | | | | | | | | ~ (in(v5, all_49_8) = 0) | ~ $i(v5) | % 79.73/11.86 | | | | | | | | | | | | | | | | | | | apply(all_49_2, v5) = v5)))))) % 79.73/11.86 | | | | | | | | | | | | | | | | | | | % 79.73/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (312) with all_49_1, simplifying % 79.73/11.86 | | | | | | | | | | | | | | | | | | | with (58), (307) gives: % 79.73/11.86 | | | | | | | | | | | | | | | | | | | (402) ~ (all_115_0 = 0) | ? [v0: any] : ? [v1: $i] : % 79.73/11.86 | | | | | | | | | | | | | | | | | | | ? [v2: $i] : ? [v3: $i] : (apply(v1, all_49_7) = % 79.73/11.86 | | | | | | | | | | | | | | | | | | | v2 & apply(all_49_1, all_49_3) = v3 & % 79.73/11.86 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, all_49_1) = v1 & % 79.73/11.86 | | | | | | | | | | | | | | | | | | | function(all_49_1) = v0 & $i(v3) & $i(v2) & % 79.73/11.86 | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 79.73/11.86 | | | | | | | | | | | | | | | | | | | % 79.73/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc10_relat_1) with empty_set, % 79.73/11.86 | | | | | | | | | | | | | | | | | | | all_49_6, all_215_2, simplifying with (19), (53), % 79.73/11.86 | | | | | | | | | | | | | | | | | | | (360) gives: % 79.73/11.86 | | | | | | | | | | | | | | | | | | | (403) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.73/11.86 | | | | | | | | | | | | | | | | | | | [v3: any] : (relation(all_215_2) = v3 & % 79.73/11.86 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = v1 & empty(all_215_2) = v2 % 79.73/11.86 | | | | | | | | | | | | | | | | | | | & empty(empty_set) = v0 & ( ~ (v1 = 0) | ~ (v0 % 79.73/11.86 | | | | | | | | | | | | | | | | | | | = 0) | (v3 = 0 & v2 = 0))) % 79.73/11.86 | | | | | | | | | | | | | | | | | | | % 79.73/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc1_funct_1) with all_49_6, % 79.73/11.86 | | | | | | | | | | | | | | | | | | | empty_set, all_215_2, simplifying with (19), (53), % 79.73/11.86 | | | | | | | | | | | | | | | | | | | (360) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (404) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.77/11.86 | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (relation(all_215_2) = v4 & relation(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v0 & relation(empty_set) = v2 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | function(all_215_2) = v5 & function(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v1 & function(empty_set) = v3 & ( ~ (v3 = 0) | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v5 = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | 0 & v4 = 0))) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (dt_k5_relat_1) with all_49_6, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | empty_set, all_215_2, simplifying with (19), (53), % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (360) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (405) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (relation(all_215_2) = v2 & relation(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v0 & relation(empty_set) = v1 & ( ~ (v1 = 0) | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = 0)) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc10_relat_1) with all_36_0, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_49_6, all_205_2, simplifying with (34), (53), % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (347) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (406) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.77/11.86 | | | | | | | | | | | | | | | | | | | [v3: any] : (relation(all_205_2) = v3 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = v1 & empty(all_205_2) = v2 % 79.77/11.86 | | | | | | | | | | | | | | | | | | | & empty(all_36_0) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | 0) | (v3 = 0 & v2 = 0))) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc1_funct_1) with all_49_6, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_36_0, all_205_2, simplifying with (34), (53), % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (347) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (407) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.77/11.86 | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (relation(all_205_2) = v4 & relation(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v0 & relation(all_36_0) = v2 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | function(all_205_2) = v5 & function(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v1 & function(all_36_0) = v3 & ( ~ (v3 = 0) | ~ % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 % 79.77/11.86 | | | | | | | | | | | | | | | | | | | & v4 = 0))) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (dt_k5_relat_1) with all_49_6, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_36_0, all_205_2, simplifying with (34), (53), % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (347) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (408) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (relation(all_205_2) = v2 & relation(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v0 & relation(all_36_0) = v1 & ( ~ (v1 = 0) | ~ % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0)) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc10_relat_1) with all_41_0, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_49_6, all_230_2, simplifying with (42), (53), % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (376) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (409) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.77/11.86 | | | | | | | | | | | | | | | | | | | [v3: any] : (relation(all_230_2) = v3 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = v1 & empty(all_230_2) = v2 % 79.77/11.86 | | | | | | | | | | | | | | | | | | | & empty(all_41_0) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | 0) | (v3 = 0 & v2 = 0))) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc1_funct_1) with all_49_6, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_41_0, all_230_2, simplifying with (42), (53), % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (376) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (410) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.77/11.86 | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (relation(all_230_2) = v4 & relation(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v0 & relation(all_41_0) = v2 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | function(all_230_2) = v5 & function(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v1 & function(all_41_0) = v3 & ( ~ (v3 = 0) | ~ % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 % 79.77/11.86 | | | | | | | | | | | | | | | | | | | & v4 = 0))) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (dt_k5_relat_1) with all_49_6, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_41_0, all_230_2, simplifying with (42), (53), % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (376) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (411) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (relation(all_230_2) = v2 & relation(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v0 & relation(all_41_0) = v1 & ( ~ (v1 = 0) | ~ % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0)) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc10_relat_1) with all_45_1, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_49_6, all_225_2, simplifying with (46), (53), % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (371) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (412) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.77/11.86 | | | | | | | | | | | | | | | | | | | [v3: any] : (relation(all_225_2) = v3 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = v1 & empty(all_225_2) = v2 % 79.77/11.86 | | | | | | | | | | | | | | | | | | | & empty(all_45_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | 0) | (v3 = 0 & v2 = 0))) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc1_funct_1) with all_49_6, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_45_1, all_225_2, simplifying with (46), (53), % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (371) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (413) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.77/11.86 | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (relation(all_225_2) = v4 & relation(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v0 & relation(all_45_1) = v2 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | function(all_225_2) = v5 & function(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v1 & function(all_45_1) = v3 & ( ~ (v3 = 0) | ~ % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 % 79.77/11.86 | | | | | | | | | | | | | | | | | | | & v4 = 0))) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (dt_k5_relat_1) with all_49_6, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_45_1, all_225_2, simplifying with (46), (53), % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (371) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (414) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (relation(all_225_2) = v2 & relation(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v0 & relation(all_45_1) = v1 & ( ~ (v1 = 0) | ~ % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0)) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc10_relat_1) with all_49_6, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_49_6, all_200_2, simplifying with (53), (340) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (415) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.77/11.86 | | | | | | | | | | | | | | | | | | | [v3: any] : (relation(all_200_2) = v3 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = v1 & empty(all_200_2) = v2 % 79.77/11.86 | | | | | | | | | | | | | | | | | | | & empty(all_49_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | 0) | (v3 = 0 & v2 = 0))) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc1_funct_1) with all_49_6, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_49_6, all_200_2, simplifying with (53), (340) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (416) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.77/11.86 | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (relation(all_200_2) = v4 & relation(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v2 & relation(all_49_6) = v0 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | function(all_200_2) = v5 & function(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v3 & function(all_49_6) = v1 & ( ~ (v3 = 0) | ~ % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 % 79.77/11.86 | | | | | | | | | | | | | | | | | | | & v4 = 0))) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (dt_k5_relat_1) with all_49_6, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_49_6, all_200_2, simplifying with (53), (340) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (417) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (relation(all_200_2) = v2 & relation(all_49_6) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v1 & relation(all_49_6) = v0 & ( ~ (v1 = 0) | ~ % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0)) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_49_4, empty_set, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_63_1, all_63_0, simplifying with (19), (55), % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (106), (185) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (418) all_63_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | subset(all_49_4, empty_set) = v0) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc1_subset_1) with empty_set, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_63_1, simplifying with (19), (185) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (419) ? [v0: int] : ( ~ (v0 = 0) & empty(all_63_1) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v0) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_49_7, all_49_1, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_117_1, all_117_0, simplifying with (52), (58), % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (177), (180) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (420) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (apply(all_49_1, all_49_7) = v2 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | relation(all_49_1) = v0 & function(all_49_1) = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | v1 & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ! % 79.77/11.86 | | | | | | | | | | | | | | | | | | | [v3: $i] : ! [v4: $i] : ( ~ (all_117_0 = 0) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | | ~ (apply(v3, v2) = v4) | ~ $i(v3) | ? % 79.77/11.86 | | | | | | | | | | | | | | | | | | | [v5: any] : ? [v6: any] : ? [v7: $i] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | ? [v8: $i] : (apply(v7, all_49_7) = v8 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_1, v3) = v7 % 79.77/11.86 | | | | | | | | | | | | | | | | | | | & relation(v3) = v5 & function(v3) = v6 % 79.77/11.86 | | | | | | | | | | | | | | | | | | | & $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (v5 = 0) | v8 = v4))) & ! [v3: $i] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | ! [v4: $i] : ( ~ (all_117_0 = 0) | ~ % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_1, v3) = v4) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | | ~ $i(v3) | ? [v5: any] : ? [v6: any] % 79.77/11.86 | | | | | | | | | | | | | | | | | | | : ? [v7: $i] : ? [v8: $i] : (apply(v4, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_49_7) = v7 & apply(v3, v2) = v8 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | relation(v3) = v5 & function(v3) = v6 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ (v5 % 79.77/11.86 | | | | | | | | | | | | | | | | | | | = 0) | v8 = v7))) & ! [v3: $i] : ( % 79.77/11.86 | | | | | | | | | | | | | | | | | | | ~ (all_117_0 = 0) | ~ (relation(v3) = 0) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | | ~ $i(v3) | ? [v4: any] : ? [v5: $i] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | ? [v6: $i] : ? [v7: $i] : (apply(v5, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_49_7) = v6 & apply(v3, v2) = v7 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_1, v3) = v5 % 79.77/11.86 | | | | | | | | | | | | | | | | | | | & function(v3) = v4 & $i(v7) & $i(v6) & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | $i(v5) & ( ~ (v4 = 0) | v7 = v6))) & ! % 79.77/11.86 | | | | | | | | | | | | | | | | | | | [v3: $i] : ( ~ (all_117_0 = 0) | ~ % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (function(v3) = 0) | ~ $i(v3) | ? [v4: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | any] : ? [v5: $i] : ? [v6: $i] : ? % 79.77/11.86 | | | | | | | | | | | | | | | | | | | [v7: $i] : (apply(v5, all_49_7) = v6 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | apply(v3, v2) = v7 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_1, v3) = v5 % 79.77/11.86 | | | | | | | | | | | | | | | | | | | & relation(v3) = v4 & $i(v7) & $i(v6) & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | $i(v5) & ( ~ (v4 = 0) | v7 = v6)))))) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_49_1, all_117_1, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | simplifying with (58), (180) gives: % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (421) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 79.77/11.86 | | | | | | | | | | | | | | | | | | | (relation(all_49_1) = v1 & empty(all_117_1) = v2 & % 79.77/11.86 | | | | | | | | | | | | | | | | | | | empty(all_49_1) = v0 & ( ~ (v2 = 0) | ~ (v1 = % 79.77/11.86 | | | | | | | | | | | | | | | | | | | 0) | v0 = 0)) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | % 79.77/11.86 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_49_3, all_49_6, % 79.77/11.86 | | | | | | | | | | | | | | | | | | | all_200_1, simplifying with (53), (56), (386) % 79.77/11.86 | | | | | | | | | | | | | | | | | | | gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (422) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 79.77/11.87 | | | | | | | | | | | | | | | | | | | [v3: any] : (relation_dom(all_49_6) = v2 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = v0 & function(all_49_6) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | v1 & in(all_49_3, v2) = v3 & $i(v2) & ( ~ (v1 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | ( ! [v4: $i] : ! [v5: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | $i] : ( ~ (v3 = 0) | ~ (apply(v4, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_200_1) = v5) | ~ $i(v4) | ? [v6: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: $i] : ? % 79.77/11.87 | | | | | | | | | | | | | | | | | | | [v9: $i] : (apply(v8, all_49_3) = v9 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v4) = v8 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | & relation(v4) = v6 & function(v4) = v7 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (v6 = 0) | v9 = v5))) & ! [v4: $i] : % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ! [v5: $i] : ( ~ (v3 = 0) | ~ % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_6, v4) = v5) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | | ~ $i(v4) | ? [v6: any] : ? [v7: any] % 79.77/11.87 | | | | | | | | | | | | | | | | | | | : ? [v8: $i] : ? [v9: $i] : (apply(v5, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_49_3) = v8 & apply(v4, all_200_1) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = v9 & relation(v4) = v6 & function(v4) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = v7 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ~ (v6 = 0) | v9 = v8))) & ! [v4: $i] % 79.77/11.87 | | | | | | | | | | | | | | | | | | | : ( ~ (v3 = 0) | ~ (relation(v4) = 0) | ~ % 79.77/11.87 | | | | | | | | | | | | | | | | | | | $i(v4) | ? [v5: any] : ? [v6: $i] : ? % 79.77/11.87 | | | | | | | | | | | | | | | | | | | [v7: $i] : ? [v8: $i] : (apply(v6, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_49_3) = v7 & apply(v4, all_200_1) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = v8 & relation_composition(all_49_6, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | v4) = v6 & function(v4) = v5 & $i(v8) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | & $i(v7) & $i(v6) & ( ~ (v5 = 0) | v8 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | v7))) & ! [v4: $i] : ( ~ (v3 = 0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ~ (function(v4) = 0) | ~ $i(v4) | ? [v5: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | any] : ? [v6: $i] : ? [v7: $i] : ? % 79.77/11.87 | | | | | | | | | | | | | | | | | | | [v8: $i] : (apply(v6, all_49_3) = v7 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | apply(v4, all_200_1) = v8 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v4) = v6 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | & relation(v4) = v5 & $i(v8) & $i(v7) & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | $i(v6) & ( ~ (v5 = 0) | v8 = v7)))))) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (419) with fresh symbol all_264_0 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (423) ~ (all_264_0 = 0) & empty(all_63_1) = all_264_0 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (423) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (424) ~ (all_264_0 = 0) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (425) empty(all_63_1) = all_264_0 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (389) with fresh symbols all_284_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_284_1 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (426) ~ (all_284_0 = 0) & powerset(empty_set) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_284_1 & element(all_49_8, all_284_1) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_284_0 & $i(all_284_1) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (426) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (427) $i(all_284_1) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (428) powerset(empty_set) = all_284_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (394) with fresh symbols all_290_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_290_1 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (429) ~ (all_290_0 = 0) & powerset(all_61_0) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_290_1 & element(all_49_8, all_290_1) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_290_0 & $i(all_290_1) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (429) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (430) powerset(all_61_0) = all_290_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (393) with fresh symbols all_292_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_292_1 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (431) ~ (all_292_0 = 0) & powerset(all_61_0) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_292_1 & element(all_49_5, all_292_1) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_292_0 & $i(all_292_1) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (431) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (432) powerset(all_61_0) = all_292_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (392) with fresh symbols all_294_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_294_1 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (433) ~ (all_294_0 = 0) & powerset(all_61_0) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_294_1 & element(all_49_4, all_294_1) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_294_0 & $i(all_294_1) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (433) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (434) powerset(all_61_0) = all_294_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (391) with fresh symbols all_296_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_296_1 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (435) ~ (all_296_0 = 0) & powerset(empty_set) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_296_1 & element(all_49_5, all_296_1) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_296_0 & $i(all_296_1) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (435) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (436) powerset(empty_set) = all_296_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (421) with fresh symbols all_298_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_298_1, all_298_2 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (437) relation(all_49_1) = all_298_1 & empty(all_117_1) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = all_298_0 & empty(all_49_1) = all_298_2 & ( ~ % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (all_298_0 = 0) | ~ (all_298_1 = 0) | all_298_2 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = 0) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (437) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (438) relation(all_49_1) = all_298_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (408) with fresh symbols all_300_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_300_1, all_300_2 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (439) relation(all_205_2) = all_300_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_300_2 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_36_0) = all_300_1 & ( ~ (all_300_1 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | 0) | ~ (all_300_2 = 0) | all_300_0 = 0) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (439) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (440) relation(all_49_6) = all_300_2 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (414) with fresh symbols all_302_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_302_1, all_302_2 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (441) relation(all_225_2) = all_302_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_302_2 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_45_1) = all_302_1 & ( ~ (all_302_1 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | 0) | ~ (all_302_2 = 0) | all_302_0 = 0) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (441) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (442) relation(all_49_6) = all_302_2 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (411) with fresh symbols all_304_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_304_1, all_304_2 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (443) relation(all_230_2) = all_304_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_304_2 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_41_0) = all_304_1 & ( ~ (all_304_1 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | 0) | ~ (all_304_2 = 0) | all_304_0 = 0) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (443) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (444) relation(all_49_6) = all_304_2 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (400) with fresh symbols all_308_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_308_1, all_308_2 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (445) relation_dom(all_49_2) = all_308_1 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | empty(all_308_1) = all_308_0 & empty(all_49_2) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_308_2 & $i(all_308_1) & ( ~ (all_308_0 = 0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_308_2 = 0) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (445) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (446) relation_dom(all_49_2) = all_308_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (405) with fresh symbols all_310_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_310_1, all_310_2 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (447) relation(all_215_2) = all_310_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_310_2 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(empty_set) = all_310_1 & ( ~ (all_310_1 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | 0) | ~ (all_310_2 = 0) | all_310_0 = 0) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (447) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (448) relation(all_49_6) = all_310_2 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (417) with fresh symbols all_324_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_324_1, all_324_2 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (449) relation(all_200_2) = all_324_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_324_1 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_324_2 & ( ~ (all_324_1 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | 0) | ~ (all_324_2 = 0) | all_324_0 = 0) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (449) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (450) relation(all_49_6) = all_324_2 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (451) relation(all_49_6) = all_324_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (409) with fresh symbols all_342_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_342_1, all_342_2, all_342_3 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (452) relation(all_230_2) = all_342_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_342_2 & empty(all_230_2) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = all_342_1 & empty(all_41_0) = all_342_3 & ( ~ % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (all_342_2 = 0) | ~ (all_342_3 = 0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (all_342_0 = 0 & all_342_1 = 0)) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (452) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (453) relation(all_49_6) = all_342_2 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (412) with fresh symbols all_346_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_346_1, all_346_2, all_346_3 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (454) relation(all_225_2) = all_346_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_346_2 & empty(all_225_2) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = all_346_1 & empty(all_45_1) = all_346_3 & ( ~ % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (all_346_2 = 0) | ~ (all_346_3 = 0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (all_346_0 = 0 & all_346_1 = 0)) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (454) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (455) relation(all_49_6) = all_346_2 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (415) with fresh symbols all_350_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_350_1, all_350_2, all_350_3 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (456) relation(all_200_2) = all_350_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_350_2 & empty(all_200_2) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = all_350_1 & empty(all_49_6) = all_350_3 & ( ~ % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (all_350_2 = 0) | ~ (all_350_3 = 0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (all_350_0 = 0 & all_350_1 = 0)) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (456) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (457) relation(all_49_6) = all_350_2 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (406) with fresh symbols all_354_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_354_1, all_354_2, all_354_3 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (458) relation(all_205_2) = all_354_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_354_2 & empty(all_205_2) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = all_354_1 & empty(all_36_0) = all_354_3 & ( ~ % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (all_354_2 = 0) | ~ (all_354_3 = 0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (all_354_0 = 0 & all_354_1 = 0)) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (458) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (459) relation(all_49_6) = all_354_2 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (403) with fresh symbols all_356_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_356_1, all_356_2, all_356_3 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (460) relation(all_215_2) = all_356_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_356_2 & empty(all_215_2) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = all_356_1 & empty(empty_set) = all_356_3 & ( ~ % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (all_356_2 = 0) | ~ (all_356_3 = 0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (all_356_0 = 0 & all_356_1 = 0)) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (460) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (461) relation(all_49_6) = all_356_2 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (410) with fresh symbols all_358_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_358_1, all_358_2, all_358_3, all_358_4, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_358_5 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (462) relation(all_230_2) = all_358_1 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_358_5 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_41_0) = all_358_3 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_230_2) = all_358_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_49_6) = all_358_4 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_41_0) = all_358_2 & ( ~ (all_358_2 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | 0) | ~ (all_358_3 = 0) | ~ (all_358_4 = 0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ~ (all_358_5 = 0) | (all_358_0 = 0 & all_358_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = 0)) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (462) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (463) function(all_49_6) = all_358_4 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (464) relation(all_49_6) = all_358_5 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (416) with fresh symbols all_360_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_360_1, all_360_2, all_360_3, all_360_4, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_360_5 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (465) relation(all_200_2) = all_360_1 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_360_3 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_360_5 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_200_2) = all_360_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_49_6) = all_360_2 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_49_6) = all_360_4 & ( ~ (all_360_2 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | 0) | ~ (all_360_3 = 0) | ~ (all_360_4 = 0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ~ (all_360_5 = 0) | (all_360_0 = 0 & all_360_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = 0)) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (465) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (466) function(all_49_6) = all_360_4 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (467) function(all_49_6) = all_360_2 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (468) relation(all_49_6) = all_360_5 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (469) relation(all_49_6) = all_360_3 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (413) with fresh symbols all_362_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_362_1, all_362_2, all_362_3, all_362_4, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_362_5 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (470) relation(all_225_2) = all_362_1 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_362_5 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_45_1) = all_362_3 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_225_2) = all_362_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_49_6) = all_362_4 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_45_1) = all_362_2 & ( ~ (all_362_2 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | 0) | ~ (all_362_3 = 0) | ~ (all_362_4 = 0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ~ (all_362_5 = 0) | (all_362_0 = 0 & all_362_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = 0)) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (470) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (471) function(all_49_6) = all_362_4 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (472) relation(all_49_6) = all_362_5 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (404) with fresh symbols all_364_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_364_1, all_364_2, all_364_3, all_364_4, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_364_5 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (473) relation(all_215_2) = all_364_1 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_364_5 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(empty_set) = all_364_3 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_215_2) = all_364_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_49_6) = all_364_4 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(empty_set) = all_364_2 & ( ~ (all_364_2 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | 0) | ~ (all_364_3 = 0) | ~ (all_364_4 = 0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ~ (all_364_5 = 0) | (all_364_0 = 0 & all_364_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = 0)) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (473) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (474) function(all_49_6) = all_364_4 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (475) relation(all_49_6) = all_364_5 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (407) with fresh symbols all_366_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_366_1, all_366_2, all_366_3, all_366_4, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_366_5 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (476) relation(all_205_2) = all_366_1 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_366_5 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_36_0) = all_366_3 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_205_2) = all_366_0 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_49_6) = all_366_4 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | function(all_36_0) = all_366_2 & ( ~ (all_366_2 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | 0) | ~ (all_366_3 = 0) | ~ (all_366_4 = 0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ~ (all_366_5 = 0) | (all_366_0 = 0 & all_366_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | = 0)) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (476) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (477) function(all_49_6) = all_366_4 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (478) relation(all_49_6) = all_366_5 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (396) with fresh symbols all_368_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_368_1, all_368_2 gives: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (479) relation_dom(all_49_2) = all_368_1 & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | relation(all_49_2) = all_368_2 & $i(all_368_0) & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | $i(all_368_1) & ( ~ (all_368_2 = 0) | (all_368_1 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_49_8 & ! [v0: $i] : ! [v1: $i] : (v1 = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | v0 | ~ (apply(all_49_2, v0) = v1) | ~ % 79.77/11.87 | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 79.77/11.87 | | | | | | | | | | | | | | | | | | | in(v0, all_49_8) = v2)) & ! [v0: $i] : ( % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ~ (in(v0, all_49_8) = 0) | ~ $i(v0) | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | apply(all_49_2, v0) = v0))) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | ALPHA: (479) implies: % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (480) relation(all_49_2) = all_368_2 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (481) relation_dom(all_49_2) = all_368_1 % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (482) ~ (all_368_2 = 0) | (all_368_1 = all_49_8 & ! % 79.77/11.87 | | | | | | | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 79.77/11.87 | | | | | | | | | | | | | | | | | | | (apply(all_49_2, v0) = v1) | ~ $i(v0) | ? % 79.77/11.87 | | | | | | | | | | | | | | | | | | | [v2: int] : ( ~ (v2 = 0) & in(v0, all_49_8) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | v2)) & ! [v0: $i] : ( ~ (in(v0, all_49_8) = % 79.77/11.87 | | | | | | | | | | | | | | | | | | | 0) | ~ $i(v0) | apply(all_49_2, v0) = v0)) % 79.77/11.87 | | | | | | | | | | | | | | | | | | | % 79.77/11.87 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (398) with fresh symbols all_370_0, % 79.77/11.87 | | | | | | | | | | | | | | | | | | | all_370_1, all_370_2 gives: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (483) relation_dom(all_49_2) = all_370_1 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | function(all_49_2) = all_370_2 & $i(all_370_0) & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(all_370_1) & ( ~ (all_370_2 = 0) | (all_370_1 = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_49_8 & ! [v0: $i] : ! [v1: $i] : (v1 = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | v0 | ~ (apply(all_49_2, v0) = v1) | ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | in(v0, all_49_8) = v2)) & ! [v0: $i] : ( % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ~ (in(v0, all_49_8) = 0) | ~ $i(v0) | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | apply(all_49_2, v0) = v0))) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ALPHA: (483) implies: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (484) function(all_49_2) = all_370_2 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (485) relation_dom(all_49_2) = all_370_1 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (401) with fresh symbols all_372_0, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_372_1, all_372_2, all_372_3, all_372_4 gives: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (486) relation_dom(all_49_1) = all_372_3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | function(all_49_1) = all_372_4 & $i(all_372_2) & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(all_372_3) & ( ~ (all_372_4 = 0) | (( ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (all_372_3 = all_49_8) | all_49_1 = all_49_2 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | (all_372_1 = 0 & ~ (all_372_0 = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_372_2) & apply(all_49_1, all_372_2) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | = all_372_0 & in(all_372_2, all_49_8) = 0 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | & $i(all_372_0))) & ( ~ (all_49_1 = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_49_2) | (all_372_3 = all_49_8 & ! % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (apply(all_49_2, v0) = v1) | ~ $i(v0) | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ? [v2: int] : ( ~ (v2 = 0) & in(v0, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_49_8) = v2)) & ! [v0: $i] : ( ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (in(v0, all_49_8) = 0) | ~ $i(v0) | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | apply(all_49_2, v0) = v0))))) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ALPHA: (486) implies: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (487) function(all_49_1) = all_372_4 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (397) with fresh symbols all_376_0, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_376_1, all_376_2, all_376_3, all_376_4 gives: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (488) relation_dom(all_49_1) = all_376_3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation(all_49_1) = all_376_4 & $i(all_376_2) & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(all_376_3) & ( ~ (all_376_4 = 0) | (( ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (all_376_3 = all_49_8) | all_49_1 = all_49_2 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | (all_376_1 = 0 & ~ (all_376_0 = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_376_2) & apply(all_49_1, all_376_2) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | = all_376_0 & in(all_376_2, all_49_8) = 0 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | & $i(all_376_0))) & ( ~ (all_49_1 = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_49_2) | (all_376_3 = all_49_8 & ! % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (apply(all_49_2, v0) = v1) | ~ $i(v0) | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ? [v2: int] : ( ~ (v2 = 0) & in(v0, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_49_8) = v2)) & ! [v0: $i] : ( ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (in(v0, all_49_8) = 0) | ~ $i(v0) | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | apply(all_49_2, v0) = v0))))) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ALPHA: (488) implies: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (489) relation(all_49_1) = all_376_4 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (390) with fresh symbols all_380_0, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_380_1, all_380_2 gives: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (490) apply(all_49_6, all_49_7) = all_380_0 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_380_2 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | function(all_49_6) = all_380_1 & $i(all_380_0) & ( % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ~ (all_380_1 = 0) | ~ (all_380_2 = 0) | ( ! % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ( ~ (apply(v0, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_380_0) = v1) | ~ $i(v0) | ? [v2: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | any] : ? [v3: any] : ? [v4: $i] : ? % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v5: $i] : (apply(v4, all_49_7) = v5 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v0) = v4 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | 0) | v5 = v1))) & ! [v0: $i] : ! % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v1: $i] : ( ~ (relation_composition(all_49_6, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | v0) = v1) | ~ $i(v0) | ? [v2: any] : % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (apply(v1, all_49_7) = v4 & apply(v0, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_380_0) = v5 & relation(v0) = v2 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | function(v0) = v3 & $i(v5) & $i(v4) & ( ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v2 = 0) | v5 = v4))) & ! % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ? [v4: $i] : (apply(v2, all_49_7) = v3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | apply(v0, all_380_0) = v4 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v0) = v2 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | function(v0) = v1 & $i(v4) & $i(v3) & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))) & ! % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (function(v0) = 0) | ~ $i(v0) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ? [v4: $i] : (apply(v2, all_49_7) = v3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | apply(v0, all_380_0) = v4 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v0) = v2 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))))) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ALPHA: (490) implies: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (491) $i(all_380_0) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (492) function(all_49_6) = all_380_1 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (493) relation(all_49_6) = all_380_2 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (494) apply(all_49_6, all_49_7) = all_380_0 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (420) with fresh symbols all_382_0, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_382_1, all_382_2 gives: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (495) apply(all_49_1, all_49_7) = all_382_0 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation(all_49_1) = all_382_2 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | function(all_49_1) = all_382_1 & $i(all_382_0) & ( % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ~ (all_382_1 = 0) | ~ (all_382_2 = 0) | ( ! % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ( ~ (all_117_0 = 0) | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ~ (apply(v0, all_382_0) = v1) | ~ $i(v0) | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ? [v2: any] : ? [v3: any] : ? [v4: $i] : % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ? [v5: $i] : (apply(v4, all_49_7) = v5 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_1, v0) = v4 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | 0) | v5 = v1))) & ! [v0: $i] : ! % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v1: $i] : ( ~ (all_117_0 = 0) | ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_1, v0) = v1) | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : (apply(v1, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_49_7) = v4 & apply(v0, all_382_0) = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | v5 & relation(v0) = v2 & function(v0) = v3 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | = 0) | v5 = v4))) & ! [v0: $i] : ( ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (all_117_0 = 0) | ~ (relation(v0) = 0) | ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v1: any] : ? [v2: $i] : ? % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (apply(v2, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_49_7) = v3 & apply(v0, all_382_0) = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | v4 & relation_composition(all_49_1, v0) = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | v2 & function(v0) = v1 & $i(v4) & $i(v3) & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))) & ! % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (all_117_0 = 0) | ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (function(v0) = 0) | ~ $i(v0) | ? [v1: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | any] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i] : (apply(v2, all_49_7) = v3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | apply(v0, all_382_0) = v4 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_1, v0) = v2 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))))) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ALPHA: (495) implies: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (496) function(all_49_1) = all_382_1 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (497) relation(all_49_1) = all_382_2 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (498) apply(all_49_1, all_49_7) = all_382_0 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (422) with fresh symbols all_392_0, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_392_1, all_392_2, all_392_3 gives: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (499) relation_dom(all_49_6) = all_392_1 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_392_3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | function(all_49_6) = all_392_2 & in(all_49_3, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_392_1) = all_392_0 & $i(all_392_1) & ( ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (all_392_2 = 0) | ~ (all_392_3 = 0) | ( ! [v0: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i] : ! [v1: $i] : ( ~ (all_392_0 = 0) | ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (apply(v0, all_200_1) = v1) | ~ $i(v0) | ? % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : ? [v4: $i] : ? % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v5: $i] : (apply(v4, all_49_3) = v5 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v0) = v4 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | 0) | v5 = v1))) & ! [v0: $i] : ! % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v1: $i] : ( ~ (all_392_0 = 0) | ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_6, v0) = v1) | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : (apply(v1, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_49_3) = v4 & apply(v0, all_200_1) = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | v5 & relation(v0) = v2 & function(v0) = v3 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | = 0) | v5 = v4))) & ! [v0: $i] : ( ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (all_392_0 = 0) | ~ (relation(v0) = 0) | ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v1: any] : ? [v2: $i] : ? % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (apply(v2, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | all_49_3) = v3 & apply(v0, all_200_1) = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | v4 & relation_composition(all_49_6, v0) = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | v2 & function(v0) = v1 & $i(v4) & $i(v3) & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))) & ! % 79.77/11.88 | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (all_392_0 = 0) | ~ % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (function(v0) = 0) | ~ $i(v0) | ? [v1: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | any] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i] : (apply(v2, all_49_3) = v3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | apply(v0, all_200_1) = v4 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v0) = v2 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))))) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | ALPHA: (499) implies: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (500) in(all_49_3, all_392_1) = all_392_0 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (501) function(all_49_6) = all_392_2 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (502) relation(all_49_6) = all_392_3 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (503) relation_dom(all_49_6) = all_392_1 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | REDUCE: (395), (434) imply: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (504) powerset(empty_set) = all_294_1 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | REDUCE: (395), (432) imply: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (505) powerset(empty_set) = all_292_1 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | REDUCE: (395), (430) imply: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | (506) powerset(empty_set) = all_290_1 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | Case 1: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | (507) ~ (all_115_0 = 0) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (325), (507) imply: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | (508) $false % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | CLOSE: (508) is inconsistent. % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | Case 2: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | (509) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | $i] : (apply(v1, all_49_7) = v2 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | apply(all_49_1, all_49_3) = v3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, all_49_1) = v1 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | function(all_49_1) = v0 & $i(v3) & $i(v2) & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (509) with fresh symbols all_411_0, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | all_411_1, all_411_2, all_411_3 gives: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | (510) apply(all_411_2, all_49_7) = all_411_1 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | apply(all_49_1, all_49_3) = all_411_0 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, all_49_1) = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | all_411_2 & function(all_49_1) = all_411_3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | $i(all_411_0) & $i(all_411_1) & $i(all_411_2) & ( % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | ~ (all_411_3 = 0) | all_411_0 = all_411_1) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (510) implies: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | (511) function(all_49_1) = all_411_3 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | (512) relation_composition(all_49_6, all_49_1) = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | all_411_2 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | (513) apply(all_49_1, all_49_3) = all_411_0 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | (514) ~ (all_411_3 = 0) | all_411_0 = all_411_1 % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | Case 1: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | (515) ~ (all_115_0 = 0) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (325), (515) imply: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | (516) $false % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | CLOSE: (516) is inconsistent. % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | Case 2: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | (517) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v1, all_49_7) = v2 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | apply(all_49_2, all_49_3) = v3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, all_49_2) = v1 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | function(all_49_2) = v0 & $i(v3) & $i(v2) & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (517) with fresh symbols all_416_0, % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | all_416_1, all_416_2, all_416_3 gives: % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | (518) apply(all_416_2, all_49_7) = all_416_1 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | apply(all_49_2, all_49_3) = all_416_0 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, all_49_2) = % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | all_416_2 & function(all_49_2) = all_416_3 & % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | $i(all_416_0) & $i(all_416_1) & $i(all_416_2) & ( % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | ~ (all_416_3 = 0) | all_416_0 = all_416_1) % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | % 79.77/11.88 | | | | | | | | | | | | | | | | | | | | | ALPHA: (518) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | (519) $i(all_416_2) % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | (520) function(all_49_2) = all_416_3 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | (521) relation_composition(all_49_6, all_49_2) = % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | all_416_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | (522) apply(all_49_2, all_49_3) = all_416_0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | (523) apply(all_416_2, all_49_7) = all_416_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | (524) ~ (all_416_3 = 0) | all_416_0 = all_416_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (418) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | Case 1: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (525) all_63_0 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (525) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (526) $false % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (526) is inconsistent. % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | Case 2: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_360_4, all_49_6, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (466) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (527) all_360_4 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_360_4, all_360_2, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (466), (467) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (528) all_360_2 = all_360_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_360_2, all_362_4, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (467), (471) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (529) all_362_4 = all_360_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_362_4, all_364_4, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (471), (474) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (530) all_364_4 = all_362_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_364_4, all_366_4, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (474), (477) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (531) all_366_4 = all_364_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_366_4, all_380_1, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (477), (492) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (532) all_380_1 = all_366_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_380_1, all_392_2, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (492), (501) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (533) all_392_2 = all_380_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_358_4, all_392_2, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (463), (501) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (534) all_392_2 = all_358_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_416_3, all_49_2, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (97), (520) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (535) all_416_3 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_370_2, all_416_3, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (484), (520) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (536) all_416_3 = all_370_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_382_1, all_49_1, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (324), (496) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (537) all_382_1 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_382_1, all_411_3, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_1, simplifying with (496), (511) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (538) all_411_3 = all_382_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_372_4, all_411_3, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_1, simplifying with (487), (511) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (539) all_411_3 = all_372_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_304_2, all_310_2, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (444), (448) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (540) all_310_2 = all_304_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_302_2, all_350_2, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (442), (457) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (541) all_350_2 = all_302_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_310_2, all_354_2, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (448), (459) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (542) all_354_2 = all_310_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_356_2, all_49_6, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (61), (461) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (543) all_356_2 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_324_2, all_356_2, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (450), (461) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (544) all_356_2 = all_324_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_304_2, all_356_2, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (444), (461) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (545) all_356_2 = all_304_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_354_2, all_358_5, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (459), (464) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (546) all_358_5 = all_354_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_350_2, all_360_5, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (457), (468) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (547) all_360_5 = all_350_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_360_5, all_362_5, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (468), (472) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (548) all_362_5 = all_360_5 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_346_2, all_362_5, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (455), (472) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (549) all_362_5 = all_346_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_324_1, all_362_5, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (451), (472) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (550) all_362_5 = all_324_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_304_2, all_362_5, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (444), (472) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (551) all_362_5 = all_304_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_360_5, all_366_5, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (468), (478) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (552) all_366_5 = all_360_5 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_342_2, all_366_5, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (453), (478) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (553) all_366_5 = all_342_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_364_5, all_380_2, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (475), (493) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (554) all_380_2 = all_364_5 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_300_2, all_380_2, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (440), (493) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (555) all_380_2 = all_300_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_364_5, all_392_3, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (475), (502) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (556) all_392_3 = all_364_5 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_360_3, all_392_3, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (469), (502) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (557) all_392_3 = all_360_3 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_358_5, all_392_3, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (464), (502) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (558) all_392_3 = all_358_5 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_368_2, all_49_2, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (480) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (559) all_368_2 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_298_1, all_376_4, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_1, simplifying with (438), (489) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (560) all_376_4 = all_298_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_382_2, all_49_1, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | simplifying with (307), (497) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (561) all_382_2 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_376_4, all_382_2, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_1, simplifying with (489), (497) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (562) all_382_2 = all_376_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_63_1, all_290_1, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | empty_set, simplifying with (185), (506) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (563) all_290_1 = all_63_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_284_1, all_294_1, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | empty_set, simplifying with (428), (504) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (564) all_294_1 = all_284_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_294_1, all_296_1, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | empty_set, simplifying with (436), (504) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (565) all_296_1 = all_294_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_292_1, all_296_1, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | empty_set, simplifying with (436), (505) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (566) all_296_1 = all_292_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_290_1, all_296_1, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | empty_set, simplifying with (436), (506) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (567) all_296_1 = all_290_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_49_5, all_392_1, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (65), (503) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (568) all_392_1 = all_49_5 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_368_1, all_370_1, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (481), (485) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (569) all_370_1 = all_368_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_308_1, all_370_1, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (446), (485) gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (570) all_370_1 = all_308_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_49_3, all_380_0, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_7, all_49_6, simplifying with (66), (494) % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (571) all_380_0 = all_49_3 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_49_0, all_382_0, % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | all_49_7, all_49_1, simplifying with (67), (498) % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | gives: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (572) all_382_0 = all_49_0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (536) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (573) all_370_2 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (573) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (574) all_370_2 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (539) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (575) all_382_1 = all_372_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (575) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (576) all_382_1 = all_372_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (534) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (577) all_380_1 = all_358_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (577) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (578) all_380_1 = all_358_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (558) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (579) all_360_3 = all_358_5 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (556), (557) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (580) all_364_5 = all_360_3 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (580) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (581) all_364_5 = all_360_3 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (576) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (582) all_372_4 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (582) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (583) all_372_4 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (562) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (584) all_376_4 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (584) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (585) all_376_4 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (578) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (586) all_366_4 = all_358_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (586) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (587) all_366_4 = all_358_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (555) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (588) all_364_5 = all_300_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (588) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (589) all_364_5 = all_300_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (585) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (590) all_298_1 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (570) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (591) all_368_1 = all_308_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (591) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (592) all_368_1 = all_308_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (531), (587) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (593) all_364_4 = all_358_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (593) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (594) all_364_4 = all_358_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (553) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (595) all_360_5 = all_342_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (595) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (596) all_360_5 = all_342_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (594) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (597) all_362_4 = all_358_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (597) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (598) all_362_4 = all_358_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (581), (589) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (599) all_360_3 = all_300_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (599) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (600) all_360_3 = all_300_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (598) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (601) all_360_2 = all_358_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (601) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (602) all_360_2 = all_358_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (548), (549) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (603) all_360_5 = all_346_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (603) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (604) all_360_5 = all_346_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (551) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (605) all_346_2 = all_304_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (550) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (606) all_346_2 = all_324_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (602) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (607) all_360_4 = all_358_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (607) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (608) all_360_4 = all_358_4 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (579), (600) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (609) all_358_5 = all_300_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (609) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (610) all_358_5 = all_300_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (527), (608) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (611) all_358_4 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (596) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (612) all_350_2 = all_342_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (612) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (613) all_350_2 = all_342_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (596), (604) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (614) all_346_2 = all_342_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (614) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (615) all_346_2 = all_342_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (610) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (616) all_354_2 = all_300_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (616) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (617) all_354_2 = all_300_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (544) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (618) all_324_2 = 0 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (545) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (619) all_324_2 = all_304_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (617) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (620) all_310_2 = all_300_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (620) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (621) all_310_2 = all_300_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (613) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (622) all_342_2 = all_302_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (622) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (623) all_342_2 = all_302_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (615) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (624) all_342_2 = all_324_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (624) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (625) all_342_2 = all_324_1 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (606) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (626) all_324_1 = all_304_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (625) imply: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (627) all_324_1 = all_302_2 % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | SIMP: (627) implies: % 79.77/11.89 | | | | | | | | | | | | | | | | | | | | | | (628) all_324_1 = all_302_2 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (628) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (629) all_304_2 = all_302_2 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (629) implies: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (630) all_304_2 = all_302_2 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (618), (619) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (631) all_304_2 = 0 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (631) implies: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (632) all_304_2 = 0 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (621) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (633) all_304_2 = all_300_2 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (633) implies: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (634) all_304_2 = all_300_2 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (630), (632) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (635) all_302_2 = 0 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (630), (634) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (636) all_302_2 = all_300_2 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (636) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (637) all_300_2 = 0 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (637) implies: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (638) all_300_2 = 0 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (567) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (639) all_292_1 = all_290_1 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (565), (566) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (640) all_294_1 = all_292_1 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (640) implies: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (641) all_294_1 = all_292_1 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (641) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (642) all_292_1 = all_284_1 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (642) implies: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (643) all_292_1 = all_284_1 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (643) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (644) all_290_1 = all_284_1 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (644) implies: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (645) all_290_1 = all_284_1 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (645) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (646) all_284_1 = all_63_1 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (583) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (647) all_411_3 = 0 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (568) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (648) in(all_49_3, all_49_5) = all_392_0 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (427), (646) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | (649) $i(all_63_1) % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (524) gives: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | (650) ~ (all_416_3 = 0) % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (650) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | (651) $false % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (651) is inconsistent. % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | (652) all_416_0 = all_416_1 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (522), (652) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | (653) apply(all_49_2, all_49_3) = all_416_1 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (482) gives: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | (654) ~ (all_368_2 = 0) % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (654) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | (655) $false % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (655) is inconsistent. % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | (656) all_368_1 = all_49_8 & ! [v0: $i] : ! [v1: $i] : % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | (v1 = v0 | ~ (apply(all_49_2, v0) = v1) | ~ % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & in(v0, % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | all_49_8) = v2)) & ! [v0: $i] : ( ~ (in(v0, % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | all_49_8) = 0) | ~ $i(v0) | apply(all_49_2, % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | v0) = v0) % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (656) implies: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | (657) all_368_1 = all_49_8 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | (658) ! [v0: $i] : ( ~ (in(v0, all_49_8) = 0) | ~ % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) | apply(all_49_2, v0) = v0) % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (657) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | (659) all_308_1 = all_49_8 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (659) implies: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | (660) all_308_1 = all_49_8 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (658) with all_49_7, simplifying % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | with (52), (83) gives: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | (661) apply(all_49_2, all_49_7) = all_49_7 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (660) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | (662) relation_dom(all_49_2) = all_49_8 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (514) gives: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | (663) ~ (all_411_3 = 0) % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (647), (663) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | (664) $false % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (664) is inconsistent. % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | (665) all_411_0 = all_411_1 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (513), (665) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | (666) apply(all_49_1, all_49_3) = all_411_1 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (667) ~ (all_109_4 = 0) % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (205), (667) imply: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (668) $false % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (668) is inconsistent. % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_49_3, all_49_6, % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_5, all_392_0, simplifying with (53), (56), % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (65), (648) gives: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (669) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (apply(all_49_6, all_49_3) = v2 & % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_6) = v0 & function(all_49_6) = % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ! % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ! [v4: $i] : ( ~ (all_392_0 = 0) % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (apply(v3, v2) = v4) | ~ $i(v3) | ? % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | [v5: any] : ? [v6: any] : ? [v7: $i] : % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v8: $i] : (apply(v7, all_49_3) = v8 & % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v3) = v7 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | & relation(v3) = v5 & function(v3) = v6 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (v5 = 0) | v8 = v4))) & ! [v3: $i] : % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ! [v4: $i] : ( ~ (all_392_0 = 0) | ~ % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_6, v3) = v4) % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v3) | ? [v5: any] : ? [v6: any] % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v7: $i] : ? [v8: $i] : (apply(v4, % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_3) = v7 & apply(v3, v2) = v8 & % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v3) = v5 & function(v3) = v6 & % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ (v5 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v8 = v7))) & ! [v3: $i] : ( % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_392_0 = 0) | ~ (relation(v3) = 0) % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v3) | ? [v4: any] : ? [v5: $i] : % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v6: $i] : ? [v7: $i] : (apply(v5, % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_3) = v6 & apply(v3, v2) = v7 & % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v3) = v5 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | & function(v3) = v4 & $i(v7) & $i(v6) & % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & ( ~ (v4 = 0) | v7 = v6))) & ! % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ( ~ (all_392_0 = 0) | ~ % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (function(v3) = 0) | ~ $i(v3) | ? [v4: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v5: $i] : ? [v6: $i] : ? % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | [v7: $i] : (apply(v5, all_49_3) = v6 & % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(v3, v2) = v7 & % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v3) = v5 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | & relation(v3) = v4 & $i(v7) & $i(v6) & % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & ( ~ (v4 = 0) | v7 = v6)))))) % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_63_1, all_264_0, % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (425), (649) gives: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (670) all_264_0 = 0 | ? [v0: any] : ? [v1: $i] : ? % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : (relation_dom(all_63_1) = v1 & % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_63_1) = v0 & empty(v1) = v2 & % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0))) % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc10_relat_1) with all_49_2, % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_6, all_416_2, simplifying with (53), (57), % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (521) gives: % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (671) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (relation(all_416_2) = v3 & % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_6) = v1 & empty(all_416_2) = v2 % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | & empty(all_49_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (v3 = 0 & v2 = 0))) % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc1_funct_1) with all_49_6, % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_2, all_416_2, simplifying with (53), (57), % 79.77/11.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (521) gives: % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (672) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation(all_416_2) = v4 & relation(all_49_2) = % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & relation(all_49_6) = v0 & % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_416_2) = v5 & function(all_49_2) = % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | v3 & function(all_49_6) = v1 & ( ~ (v3 = 0) | ~ % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & v4 = 0))) % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc9_relat_1) with all_49_6, % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_2, all_416_2, simplifying with (53), (57), % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (521) gives: % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (673) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (relation(all_416_2) = v3 & % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_2) = v1 & empty(all_416_2) = v2 % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & empty(all_49_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (v3 = 0 & v2 = 0))) % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (dt_k5_relat_1) with all_49_6, % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_2, all_416_2, simplifying with (53), (57), % 79.77/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (521) gives: % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (674) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation(all_416_2) = v2 & relation(all_49_2) = % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & relation(all_49_6) = v0 & ( ~ (v1 = 0) | ~ % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0)) % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc10_relat_1) with all_49_1, % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_6, all_411_2, simplifying with (53), (58), % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (512) gives: % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (675) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (relation(all_411_2) = v3 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_6) = v1 & empty(all_411_2) = v2 % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & empty(all_49_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (v3 = 0 & v2 = 0))) % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc1_funct_1) with all_49_6, % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_1, all_411_2, simplifying with (53), (58), % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (512) gives: % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (676) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation(all_411_2) = v4 & relation(all_49_1) = % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & relation(all_49_6) = v0 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_411_2) = v5 & function(all_49_1) = % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | v3 & function(all_49_6) = v1 & ( ~ (v3 = 0) | ~ % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & v4 = 0))) % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc9_relat_1) with all_49_6, % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_1, all_411_2, simplifying with (53), (58), % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (512) gives: % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (677) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (relation(all_411_2) = v3 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_1) = v1 & empty(all_411_2) = v2 % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & empty(all_49_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (v3 = 0 & v2 = 0))) % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (dt_k5_relat_1) with all_49_6, % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_1, all_411_2, simplifying with (53), (58), % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (512) gives: % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (678) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation(all_411_2) = v2 & relation(all_49_1) = % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & relation(all_49_6) = v0 & ( ~ (v1 = 0) | ~ % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0)) % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_49_7, all_49_2, % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_8, 0, simplifying with (52), (57), (83), % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (662) gives: % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (679) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (apply(all_49_2, all_49_7) = v2 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_2) = v0 & function(all_49_2) = % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ! % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ! [v4: $i] : ( ~ (apply(v3, v2) % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | = v4) | ~ $i(v3) | ? [v5: any] : ? % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v6: any] : ? [v7: $i] : ? [v8: $i] : % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (apply(v7, all_49_7) = v8 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v3) = v7 % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & relation(v3) = v5 & function(v3) = v6 % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (v5 = 0) | v8 = v4))) & ! [v3: $i] : % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | ! [v4: $i] : ( ~ % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_2, v3) = v4) % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v3) | ? [v5: any] : ? [v6: any] % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v7: $i] : ? [v8: $i] : (apply(v4, % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7) = v7 & apply(v3, v2) = v8 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v3) = v5 & function(v3) = v6 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ (v5 % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v8 = v7))) & ! [v3: $i] : ( % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (relation(v3) = 0) | ~ $i(v3) | ? [v4: % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v5: $i] : ? [v6: $i] : ? % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v7: $i] : (apply(v5, all_49_7) = v6 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(v3, v2) = v7 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v3) = v5 % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & function(v3) = v4 & $i(v7) & $i(v6) & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & ( ~ (v4 = 0) | v7 = v6))) & ! % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ( ~ (function(v3) = 0) | ~ % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v3) | ? [v4: any] : ? [v5: $i] : ? % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v6: $i] : ? [v7: $i] : (apply(v5, % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7) = v6 & apply(v3, v2) = v7 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v3) = v5 % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & relation(v3) = v4 & $i(v7) & $i(v6) & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & ( ~ (v4 = 0) | v7 = v6)))))) % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_49_7, all_49_2, % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7, simplifying with (52), (57), (661) % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (680) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (relation_dom(all_49_2) = v2 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_2) = v0 & function(all_49_2) = % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & in(all_49_7, v2) = v3 & $i(v2) & ( ~ (v1 = % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | ( ! [v4: $i] : ! [v5: % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : ( ~ (v3 = 0) | ~ (apply(v4, % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7) = v5) | ~ $i(v4) | ? [v6: % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: $i] : ? % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v9: $i] : (apply(v8, all_49_7) = v9 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v4) = v8 % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & relation(v4) = v6 & function(v4) = v7 % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (v6 = 0) | v9 = v5))) & ! [v4: $i] : % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | ! [v5: $i] : ( ~ (v3 = 0) | ~ % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_2, v4) = v5) % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v4) | ? [v6: any] : ? [v7: any] % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v8: $i] : ? [v9: $i] : (apply(v5, % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7) = v8 & apply(v4, all_49_7) = % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | v9 & relation(v4) = v6 & function(v4) = % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | v7 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (v6 = 0) | v9 = v8))) & ! [v4: $i] : % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v3 = 0) | ~ (relation(v4) = 0) | ~ % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v4) | ? [v5: any] : ? [v6: $i] : ? % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v7: $i] : ? [v8: $i] : (apply(v6, % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7) = v7 & apply(v4, all_49_7) = % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | v8 & relation_composition(all_49_2, v4) % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | = v6 & function(v4) = v5 & $i(v8) & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v7) & $i(v6) & ( ~ (v5 = 0) | v8 = % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | v7))) & ! [v4: $i] : ( ~ (v3 = 0) | % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (function(v4) = 0) | ~ $i(v4) | ? [v5: % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v6: $i] : ? [v7: $i] : ? % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | [v8: $i] : (apply(v6, all_49_7) = v7 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(v4, all_49_7) = v8 & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v4) = v6 % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & relation(v4) = v5 & $i(v8) & $i(v7) & % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v6) & ( ~ (v5 = 0) | v8 = v7)))))) % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_49_3, all_49_2, % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_1, simplifying with (56), (57), (653) % 79.99/11.91 | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (681) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (relation_dom(all_49_2) = v2 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_2) = v0 & function(all_49_2) = % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & in(all_49_3, v2) = v3 & $i(v2) & ( ~ (v1 = % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | ( ! [v4: $i] : ! [v5: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : ( ~ (v3 = 0) | ~ (apply(v4, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_1) = v5) | ~ $i(v4) | ? [v6: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: $i] : ? % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | [v9: $i] : (apply(v8, all_49_3) = v9 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v4) = v8 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & relation(v4) = v6 & function(v4) = v7 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (v6 = 0) | v9 = v5))) & ! [v4: $i] : % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ! [v5: $i] : ( ~ (v3 = 0) | ~ % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_2, v4) = v5) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v4) | ? [v6: any] : ? [v7: any] % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v8: $i] : ? [v9: $i] : (apply(v5, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_3) = v8 & apply(v4, all_416_1) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = v9 & relation(v4) = v6 & function(v4) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = v7 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v6 = 0) | v9 = v8))) & ! [v4: $i] % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | : ( ~ (v3 = 0) | ~ (relation(v4) = 0) | ~ % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v4) | ? [v5: any] : ? [v6: $i] : ? % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | [v7: $i] : ? [v8: $i] : (apply(v6, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_3) = v7 & apply(v4, all_416_1) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = v8 & relation_composition(all_49_2, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | v4) = v6 & function(v4) = v5 & $i(v8) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v7) & $i(v6) & ( ~ (v5 = 0) | v8 = % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | v7))) & ! [v4: $i] : ( ~ (v3 = 0) | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (function(v4) = 0) | ~ $i(v4) | ? [v5: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v6: $i] : ? [v7: $i] : ? % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | [v8: $i] : (apply(v6, all_49_3) = v7 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(v4, all_416_1) = v8 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v4) = v6 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & relation(v4) = v5 & $i(v8) & $i(v7) & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v6) & ( ~ (v5 = 0) | v8 = v7)))))) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_49_3, all_49_1, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_411_1, simplifying with (56), (58), (666) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (682) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (relation_dom(all_49_1) = v2 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_1) = v0 & function(all_49_1) = % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & in(all_49_3, v2) = v3 & $i(v2) & ( ~ (v1 = % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | ( ! [v4: $i] : ! [v5: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : ( ~ (v3 = 0) | ~ (apply(v4, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_411_1) = v5) | ~ $i(v4) | ? [v6: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: $i] : ? % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | [v9: $i] : (apply(v8, all_49_3) = v9 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_1, v4) = v8 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & relation(v4) = v6 & function(v4) = v7 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (v6 = 0) | v9 = v5))) & ! [v4: $i] : % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ! [v5: $i] : ( ~ (v3 = 0) | ~ % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_1, v4) = v5) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v4) | ? [v6: any] : ? [v7: any] % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v8: $i] : ? [v9: $i] : (apply(v5, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_3) = v8 & apply(v4, all_411_1) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = v9 & relation(v4) = v6 & function(v4) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = v7 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v6 = 0) | v9 = v8))) & ! [v4: $i] % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | : ( ~ (v3 = 0) | ~ (relation(v4) = 0) | ~ % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v4) | ? [v5: any] : ? [v6: $i] : ? % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | [v7: $i] : ? [v8: $i] : (apply(v6, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_3) = v7 & apply(v4, all_411_1) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = v8 & relation_composition(all_49_1, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | v4) = v6 & function(v4) = v5 & $i(v8) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v7) & $i(v6) & ( ~ (v5 = 0) | v8 = % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | v7))) & ! [v4: $i] : ( ~ (v3 = 0) | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (function(v4) = 0) | ~ $i(v4) | ? [v5: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v6: $i] : ? [v7: $i] : ? % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | [v8: $i] : (apply(v6, all_49_3) = v7 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(v4, all_411_1) = v8 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_1, v4) = v6 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & relation(v4) = v5 & $i(v8) & $i(v7) & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v6) & ( ~ (v5 = 0) | v8 = v7)))))) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_49_7, all_416_2, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_1, simplifying with (52), (519), (523) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (683) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (relation_dom(all_416_2) = v2 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_416_2) = v0 & function(all_416_2) = % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & in(all_49_7, v2) = v3 & $i(v2) & ( ~ (v1 = % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | ( ! [v4: $i] : ! [v5: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : ( ~ (v3 = 0) | ~ (apply(v4, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_1) = v5) | ~ $i(v4) | ? [v6: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: $i] : ? % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | [v9: $i] : (apply(v8, all_49_7) = v9 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_416_2, v4) = v8 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & relation(v4) = v6 & function(v4) = v7 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (v6 = 0) | v9 = v5))) & ! [v4: $i] : % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ! [v5: $i] : ( ~ (v3 = 0) | ~ % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_416_2, v4) = v5) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v4) | ? [v6: any] : ? [v7: any] % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v8: $i] : ? [v9: $i] : (apply(v5, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7) = v8 & apply(v4, all_416_1) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = v9 & relation(v4) = v6 & function(v4) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = v7 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v6 = 0) | v9 = v8))) & ! [v4: $i] % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | : ( ~ (v3 = 0) | ~ (relation(v4) = 0) | ~ % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v4) | ? [v5: any] : ? [v6: $i] : ? % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | [v7: $i] : ? [v8: $i] : (apply(v6, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7) = v7 & apply(v4, all_416_1) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = v8 & relation_composition(all_416_2, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | v4) = v6 & function(v4) = v5 & $i(v8) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v7) & $i(v6) & ( ~ (v5 = 0) | v8 = % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | v7))) & ! [v4: $i] : ( ~ (v3 = 0) | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (function(v4) = 0) | ~ $i(v4) | ? [v5: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v6: $i] : ? [v7: $i] : ? % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | [v8: $i] : (apply(v6, all_49_7) = v7 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(v4, all_416_1) = v8 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_416_2, v4) = v6 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & relation(v4) = v5 & $i(v8) & $i(v7) & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v6) & ( ~ (v5 = 0) | v8 = v7)))))) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (678) with fresh symbols all_1157_0, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1157_1, all_1157_2 gives: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (684) relation(all_411_2) = all_1157_0 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_1) = all_1157_1 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_1157_2 & ( ~ (all_1157_1 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (all_1157_2 = 0) | all_1157_0 = 0) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (684) implies: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (685) relation(all_49_6) = all_1157_2 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (686) relation(all_49_1) = all_1157_1 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (674) with fresh symbols all_1161_0, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1161_1, all_1161_2 gives: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (687) relation(all_416_2) = all_1161_0 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_2) = all_1161_1 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_1161_2 & ( ~ (all_1161_1 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (all_1161_2 = 0) | all_1161_0 = 0) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (687) implies: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (688) relation(all_49_6) = all_1161_2 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (689) relation(all_49_2) = all_1161_1 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (690) relation(all_416_2) = all_1161_0 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (691) ~ (all_1161_1 = 0) | ~ (all_1161_2 = 0) | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1161_0 = 0 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (673) with fresh symbols all_1181_0, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1181_1, all_1181_2, all_1181_3 gives: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (692) relation(all_416_2) = all_1181_0 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_2) = all_1181_2 & empty(all_416_2) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_1181_1 & empty(all_49_6) = all_1181_3 & ( ~ % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1181_2 = 0) | ~ (all_1181_3 = 0) | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1181_0 = 0 & all_1181_1 = 0)) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (692) implies: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (693) relation(all_49_2) = all_1181_2 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (677) with fresh symbols all_1183_0, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1183_1, all_1183_2, all_1183_3 gives: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (694) relation(all_411_2) = all_1183_0 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_1) = all_1183_2 & empty(all_411_2) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_1183_1 & empty(all_49_6) = all_1183_3 & ( ~ % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1183_2 = 0) | ~ (all_1183_3 = 0) | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1183_0 = 0 & all_1183_1 = 0)) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (694) implies: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (695) relation(all_49_1) = all_1183_2 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (675) with fresh symbols all_1185_0, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1185_1, all_1185_2, all_1185_3 gives: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (696) relation(all_411_2) = all_1185_0 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_1185_2 & empty(all_411_2) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_1185_1 & empty(all_49_1) = all_1185_3 & ( ~ % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1185_2 = 0) | ~ (all_1185_3 = 0) | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1185_0 = 0 & all_1185_1 = 0)) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (696) implies: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (697) relation(all_49_6) = all_1185_2 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (671) with fresh symbols all_1187_0, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1187_1, all_1187_2, all_1187_3 gives: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (698) relation(all_416_2) = all_1187_0 & % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_1187_2 & empty(all_416_2) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_1187_1 & empty(all_49_2) = all_1187_3 & ( ~ % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1187_2 = 0) | ~ (all_1187_3 = 0) | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1187_0 = 0 & all_1187_1 = 0)) % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (698) implies: % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (699) relation(all_49_6) = all_1187_2 % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (676) with fresh symbols all_1211_0, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1211_1, all_1211_2, all_1211_3, all_1211_4, % 79.99/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1211_5 gives: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (700) relation(all_411_2) = all_1211_1 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_1) = all_1211_3 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_1211_5 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_411_2) = all_1211_0 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_49_1) = all_1211_2 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_49_6) = all_1211_4 & ( ~ (all_1211_2 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (all_1211_3 = 0) | ~ (all_1211_4 = % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_1211_5 = 0) | (all_1211_0 = 0 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1211_1 = 0)) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (700) implies: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (701) function(all_49_6) = all_1211_4 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (702) function(all_49_1) = all_1211_2 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (703) relation(all_49_6) = all_1211_5 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (704) relation(all_49_1) = all_1211_3 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (672) with fresh symbols all_1213_0, % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1213_1, all_1213_2, all_1213_3, all_1213_4, % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1213_5 gives: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (705) relation(all_416_2) = all_1213_1 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_2) = all_1213_3 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_1213_5 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_416_2) = all_1213_0 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_49_2) = all_1213_2 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_49_6) = all_1213_4 & ( ~ (all_1213_2 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (all_1213_3 = 0) | ~ (all_1213_4 = % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_1213_5 = 0) | (all_1213_0 = 0 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1213_1 = 0)) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (705) implies: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (706) function(all_49_6) = all_1213_4 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (707) function(all_49_2) = all_1213_2 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (708) function(all_416_2) = all_1213_0 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (709) relation(all_49_6) = all_1213_5 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (710) relation(all_49_2) = all_1213_3 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (711) ~ (all_1213_2 = 0) | ~ (all_1213_3 = 0) | ~ % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1213_4 = 0) | ~ (all_1213_5 = 0) | % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1213_0 = 0 & all_1213_1 = 0) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (679) with fresh symbols all_1241_0, % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1241_1, all_1241_2 gives: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (712) apply(all_49_2, all_49_7) = all_1241_0 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_2) = all_1241_2 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_49_2) = all_1241_1 & $i(all_1241_0) & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_1241_1 = 0) | ~ (all_1241_2 = 0) | ( ! % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ( ~ (apply(v0, % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1241_0) = v1) | ~ $i(v0) | ? [v2: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v3: any] : ? [v4: $i] : ? % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | [v5: $i] : (apply(v4, all_49_7) = v5 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v4 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | v5 = v1))) & ! [v0: $i] : ! % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: $i] : ( ~ (relation_composition(all_49_2, % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | v0) = v1) | ~ $i(v0) | ? [v2: any] : % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (apply(v1, all_49_7) = v4 & apply(v0, % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1241_0) = v5 & relation(v0) = v2 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | function(v0) = v3 & $i(v5) & $i(v4) & ( ~ % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v2 = 0) | v5 = v4))) & ! % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v4: $i] : (apply(v2, all_49_7) = v3 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(v0, all_1241_0) = v4 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v2 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | function(v0) = v1 & $i(v4) & $i(v3) & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))) & ! % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (function(v0) = 0) | ~ $i(v0) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v4: $i] : (apply(v2, all_49_7) = v3 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(v0, all_1241_0) = v4 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v2 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))))) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (712) implies: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (713) function(all_49_2) = all_1241_1 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (714) relation(all_49_2) = all_1241_2 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (715) apply(all_49_2, all_49_7) = all_1241_0 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (716) ~ (all_1241_1 = 0) | ~ (all_1241_2 = 0) | ( ! % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ( ~ (apply(v0, % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1241_0) = v1) | ~ $i(v0) | ? [v2: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v3: any] : ? [v4: $i] : ? [v5: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v4, all_49_7) = v5 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v4 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | v5 = v1))) & ! [v0: $i] : ! [v1: $i] : % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (relation_composition(all_49_2, v0) = v1) | % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : (apply(v1, all_49_7) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | = v4 & apply(v0, all_1241_0) = v5 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | v5 = v4))) & ! [v0: $i] : ( ~ % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation(v0) = 0) | ~ $i(v0) | ? [v1: any] % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (apply(v2, all_49_7) = v3 & apply(v0, % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1241_0) = v4 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v2 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | function(v0) = v1 & $i(v4) & $i(v3) & $i(v2) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | v4 = v3))) & ! [v0: $i] : % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (function(v0) = 0) | ~ $i(v0) | ? [v1: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v2, all_49_7) = v3 & apply(v0, % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1241_0) = v4 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v2 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & $i(v2) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | v4 = v3)))) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (669) with fresh symbols all_1261_0, % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1261_1, all_1261_2 gives: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (717) apply(all_49_6, all_49_3) = all_1261_0 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_1261_2 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_49_6) = all_1261_1 & $i(all_1261_0) & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_1261_1 = 0) | ~ (all_1261_2 = 0) | ( ! % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ( ~ (all_392_0 = 0) | % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (apply(v0, all_1261_0) = v1) | ~ $i(v0) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v2: any] : ? [v3: any] : ? [v4: $i] % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v5: $i] : (apply(v4, all_49_3) = v5 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v0) = v4 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | v5 = v1))) & ! [v0: $i] : ! % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: $i] : ( ~ (all_392_0 = 0) | ~ % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_6, v0) = v1) | % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : (apply(v1, % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_3) = v4 & apply(v0, all_1261_0) = % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | v5 & relation(v0) = v2 & function(v0) = v3 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v5 = v4))) & ! [v0: $i] : ( ~ % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_392_0 = 0) | ~ (relation(v0) = 0) | ~ % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v1: any] : ? [v2: $i] : ? % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (apply(v2, % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_3) = v3 & apply(v0, all_1261_0) = % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | v4 & relation_composition(all_49_6, v0) = % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & function(v0) = v1 & $i(v4) & $i(v3) & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))) & ! % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (all_392_0 = 0) | ~ % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (function(v0) = 0) | ~ $i(v0) | ? [v1: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v2, all_49_3) = v3 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(v0, all_1261_0) = v4 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_6, v0) = v2 & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))))) % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (717) implies: % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (718) function(all_49_6) = all_1261_1 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (719) relation(all_49_6) = all_1261_2 % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (681) with fresh symbols all_1265_0, % 79.99/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1265_1, all_1265_2, all_1265_3 gives: % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (720) relation_dom(all_49_2) = all_1265_1 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_2) = all_1265_3 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_49_2) = all_1265_2 & in(all_49_3, % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1265_1) = all_1265_0 & $i(all_1265_1) & ( ~ % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1265_2 = 0) | ~ (all_1265_3 = 0) | ( ! % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ( ~ (all_1265_0 = 0) % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (apply(v0, all_416_1) = v1) | ~ $i(v0) % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v2: any] : ? [v3: any] : ? [v4: $i] % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v5: $i] : (apply(v4, all_49_3) = v5 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v4 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | v5 = v1))) & ! [v0: $i] : ! % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: $i] : ( ~ (all_1265_0 = 0) | ~ % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_2, v0) = v1) | % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : (apply(v1, % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_3) = v4 & apply(v0, all_416_1) = % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | v5 & relation(v0) = v2 & function(v0) = v3 % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v5 = v4))) & ! [v0: $i] : ( ~ % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1265_0 = 0) | ~ (relation(v0) = 0) | % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ? % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (apply(v2, % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_3) = v3 & apply(v0, all_416_1) = % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | v4 & relation_composition(all_49_2, v0) = % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & function(v0) = v1 & $i(v4) & $i(v3) & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))) & ! % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (all_1265_0 = 0) | ~ % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (function(v0) = 0) | ~ $i(v0) | ? [v1: % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v2, all_49_3) = v3 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(v0, all_416_1) = v4 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v2 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))))) % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (720) implies: % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (721) function(all_49_2) = all_1265_2 % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (722) relation(all_49_2) = all_1265_3 % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (683) with fresh symbols all_1267_0, % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1267_1, all_1267_2, all_1267_3 gives: % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (723) relation_dom(all_416_2) = all_1267_1 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_416_2) = all_1267_3 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_416_2) = all_1267_2 & in(all_49_7, % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1267_1) = all_1267_0 & $i(all_1267_1) & ( ~ % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1267_2 = 0) | ~ (all_1267_3 = 0) | ( ! % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ( ~ (all_1267_0 = 0) % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (apply(v0, all_416_1) = v1) | ~ $i(v0) % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v2: any] : ? [v3: any] : ? [v4: $i] % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v5: $i] : (apply(v4, all_49_7) = v5 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_416_2, v0) = v4 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | v5 = v1))) & ! [v0: $i] : ! % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: $i] : ( ~ (all_1267_0 = 0) | ~ % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_416_2, v0) = v1) | % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : (apply(v1, % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7) = v4 & apply(v0, all_416_1) = % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | v5 & relation(v0) = v2 & function(v0) = v3 % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v5 = v4))) & ! [v0: $i] : ( ~ % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1267_0 = 0) | ~ (relation(v0) = 0) | % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ? % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (apply(v2, % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7) = v3 & apply(v0, all_416_1) = % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | v4 & relation_composition(all_416_2, v0) = % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & function(v0) = v1 & $i(v4) & $i(v3) & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))) & ! % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (all_1267_0 = 0) | ~ % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (function(v0) = 0) | ~ $i(v0) | ? [v1: % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v2, all_49_7) = v3 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(v0, all_416_1) = v4 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_416_2, v0) = v2 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))))) % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (723) implies: % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (724) function(all_416_2) = all_1267_2 % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (725) relation(all_416_2) = all_1267_3 % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (726) ~ (all_1267_2 = 0) | ~ (all_1267_3 = 0) | ( ! % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ( ~ (all_1267_0 = 0) | % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (apply(v0, all_416_1) = v1) | ~ $i(v0) | ? % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : ? [v4: $i] : ? % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v5: $i] : (apply(v4, all_49_7) = v5 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_416_2, v0) = v4 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | v5 = v1))) & ! [v0: $i] : ! [v1: $i] : % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_1267_0 = 0) | ~ % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_416_2, v0) = v1) | % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : (apply(v1, all_49_7) % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | = v4 & apply(v0, all_416_1) = v5 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | v5 = v4))) & ! [v0: $i] : ( ~ % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1267_0 = 0) | ~ (relation(v0) = 0) | ~ % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v1: any] : ? [v2: $i] : ? [v3: % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : ? [v4: $i] : (apply(v2, all_49_7) = % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | v3 & apply(v0, all_416_1) = v4 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_416_2, v0) = v2 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | function(v0) = v1 & $i(v4) & $i(v3) & $i(v2) % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | v4 = v3))) & ! [v0: $i] : % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_1267_0 = 0) | ~ (function(v0) = 0) | % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ? % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (apply(v2, all_49_7) % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | = v3 & apply(v0, all_416_1) = v4 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_416_2, v0) = v2 & % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & $i(v2) % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | v4 = v3)))) % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (680) with fresh symbols all_1269_0, % 79.99/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1269_1, all_1269_2, all_1269_3 gives: % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (727) relation_dom(all_49_2) = all_1269_1 & % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_2) = all_1269_3 & % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_49_2) = all_1269_2 & in(all_49_7, % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1269_1) = all_1269_0 & $i(all_1269_1) & ( ~ % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1269_2 = 0) | ~ (all_1269_3 = 0) | ( ! % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ( ~ (all_1269_0 = 0) % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (apply(v0, all_49_7) = v1) | ~ $i(v0) % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v2: any] : ? [v3: any] : ? [v4: $i] % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v5: $i] : (apply(v4, all_49_7) = v5 & % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v4 & % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | v5 = v1))) & ! [v0: $i] : ! % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: $i] : ( ~ (all_1269_0 = 0) | ~ % 79.99/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_2, v0) = v1) | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : (apply(v1, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7) = v4 & apply(v0, all_49_7) = % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | v5 & relation(v0) = v2 & function(v0) = v3 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v5 = v4))) & ! [v0: $i] : ( ~ % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1269_0 = 0) | ~ (relation(v0) = 0) | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ? % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (apply(v2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7) = v3 & apply(v0, all_49_7) = % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | v4 & relation_composition(all_49_2, v0) = % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & function(v0) = v1 & $i(v4) & $i(v3) & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))) & ! % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (all_1269_0 = 0) | ~ % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (function(v0) = 0) | ~ $i(v0) | ? [v1: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v2, all_49_7) = v3 & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(v0, all_49_7) = v4 & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v2 & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))))) % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (727) implies: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (728) function(all_49_2) = all_1269_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (729) relation(all_49_2) = all_1269_3 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (682) with fresh symbols all_1271_0, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1271_1, all_1271_2, all_1271_3 gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (730) relation_dom(all_49_1) = all_1271_1 & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_1) = all_1271_3 & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_49_1) = all_1271_2 & in(all_49_3, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_1271_1) = all_1271_0 & $i(all_1271_1) & ( ~ % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1271_2 = 0) | ~ (all_1271_3 = 0) | ( ! % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ( ~ (all_1271_0 = 0) % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (apply(v0, all_411_1) = v1) | ~ $i(v0) % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v2: any] : ? [v3: any] : ? [v4: $i] % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v5: $i] : (apply(v4, all_49_3) = v5 & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_1, v0) = v4 & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | v5 = v1))) & ! [v0: $i] : ! % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: $i] : ( ~ (all_1271_0 = 0) | ~ % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_1, v0) = v1) | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : (apply(v1, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_3) = v4 & apply(v0, all_411_1) = % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | v5 & relation(v0) = v2 & function(v0) = v3 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v5 = v4))) & ! [v0: $i] : ( ~ % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1271_0 = 0) | ~ (relation(v0) = 0) | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ? % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (apply(v2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_3) = v3 & apply(v0, all_411_1) = % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | v4 & relation_composition(all_49_1, v0) = % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & function(v0) = v1 & $i(v4) & $i(v3) & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))) & ! % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (all_1271_0 = 0) | ~ % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (function(v0) = 0) | ~ $i(v0) | ? [v1: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v2, all_49_3) = v3 & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(v0, all_411_1) = v4 & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_1, v0) = v2 & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | v4 = v3))))) % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (730) implies: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (731) function(all_49_1) = all_1271_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (732) relation(all_49_1) = all_1271_3 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (670) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) all_264_0 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (424), (733) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) $false % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (734) is inconsistent. % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_1213_4, all_49_6, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (706) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) all_1213_4 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_1213_4, all_1261_1, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (706), (718) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) all_1261_1 = all_1213_4 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_1211_4, all_1261_1, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (701), (718) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) all_1261_1 = all_1211_4 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_1269_2, all_49_2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (97), (728) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) all_1269_2 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_1265_2, all_1269_2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (721), (728) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) all_1269_2 = all_1265_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_1241_1, all_1269_2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (713), (728) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) all_1269_2 = all_1241_1 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_1213_2, all_1269_2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (707), (728) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) all_1269_2 = all_1213_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_1271_2, all_49_1, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (324), (731) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) all_1271_2 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_1211_2, all_1271_2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_1, simplifying with (702), (731) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) all_1271_2 = all_1211_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_1213_0, all_1267_2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_2, simplifying with (708), (724) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) all_1267_2 = all_1213_0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1161_2, all_1185_2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (688), (697) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) all_1185_2 = all_1161_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1161_2, all_1187_2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (688), (699) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) all_1187_2 = all_1161_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_1211_5, all_49_6, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (61), (703) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) all_1211_5 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1187_2, all_1211_5, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (699), (703) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) all_1211_5 = all_1187_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1185_2, all_1213_5, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (697), (709) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) all_1213_5 = all_1185_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1213_5, all_1261_2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (709), (719) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) all_1261_2 = all_1213_5 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1157_2, all_1261_2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (685), (719) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) all_1261_2 = all_1157_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1213_3, all_1241_2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (710), (714) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) all_1241_2 = all_1213_3 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_1265_3, all_49_2, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (96), (722) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) all_1265_3 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1213_3, all_1265_3, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (710), (722) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) all_1265_3 = all_1213_3 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1181_2, all_1265_3, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (693), (722) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) all_1265_3 = all_1181_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1241_2, all_1269_3, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (714), (729) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) all_1269_3 = all_1241_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1161_1, all_1269_3, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_2, simplifying with (689), (729) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) all_1269_3 = all_1161_1 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_1183_2, all_49_1, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (307), (695) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) all_1183_2 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1211_3, all_1271_3, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_1, simplifying with (704), (732) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) all_1271_3 = all_1211_3 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1183_2, all_1271_3, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_1, simplifying with (695), (732) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) all_1271_3 = all_1183_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1157_1, all_1271_3, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_1, simplifying with (686), (732) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) all_1271_3 = all_1157_1 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1161_0, all_1267_3, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_2, simplifying with (690), (725) gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_1267_3 = all_1161_0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_49_7, all_1241_0, % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7, all_49_2, simplifying with (661), (715) % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) all_1241_0 = all_49_7 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (742), (743) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) all_1211_2 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (759), (761) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) all_1211_3 = all_1157_1 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (759), (760) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) all_1211_3 = all_1183_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (738), (739) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) all_1265_2 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (739), (740) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) all_1265_2 = all_1241_1 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (739), (741) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) all_1265_2 = all_1213_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (757) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_1241_2 = all_1161_1 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (770) implies: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) all_1241_2 = all_1161_1 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (767), (768) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) all_1241_1 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (768), (769) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) all_1241_1 = all_1213_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (753), (755) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) all_1181_2 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (754), (755) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) all_1213_3 = all_1181_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (775) implies: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) all_1213_3 = all_1181_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (736), (737) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) all_1213_4 = all_1211_4 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (777) implies: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) all_1213_4 = all_1211_4 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (751) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) all_1213_5 = all_1157_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (779) implies: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) all_1213_5 = all_1157_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (772), (773) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) all_1213_2 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (781) implies: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_1213_2 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (752), (771) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) all_1213_3 = all_1161_1 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (783) implies: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) all_1213_3 = all_1161_1 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (784) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) all_1181_2 = all_1161_1 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (785) implies: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) all_1181_2 = all_1161_1 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (735), (778) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) all_1211_4 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (787) implies: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_1211_4 = 0 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (749), (780) imply: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) all_1185_2 = all_1157_2 % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (789) implies: % 80.15/11.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) all_1185_2 = all_1157_2 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (765), (766) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) all_1183_2 = all_1157_1 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (791) implies: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) all_1183_2 = all_1157_1 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (747), (748) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_1187_2 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (793) implies: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) all_1187_2 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (794) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) all_1161_2 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (795) implies: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) all_1161_2 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (790) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_1161_2 = all_1157_2 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (797) implies: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_1161_2 = all_1157_2 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (758), (792) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_1157_1 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (799) implies: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) all_1157_1 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (786) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) all_1161_1 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (796), (798) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) all_1157_2 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (780), (802) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) all_1213_5 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (801) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) all_1213_3 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (771), (801) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) all_1241_2 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (691) gives: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) ~ (all_1161_1 = 0) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (806) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) $false % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (807) is inconsistent. % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) ~ (all_1161_2 = 0) | all_1161_0 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (808) gives: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) ~ (all_1161_2 = 0) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (809) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) $false % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (810) is inconsistent. % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) all_1161_0 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (811) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) all_1267_3 = 0 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (716) gives: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) ~ (all_1241_1 = 0) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (813) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) $false % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (814) is inconsistent. % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) ~ (all_1241_2 = 0) | ( ! [v0: $i] : ! [v1: $i] : % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (apply(v0, all_1241_0) = v1) | ~ $i(v0) | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v5: $i] : (apply(v4, all_49_7) = v5 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v4 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v5 = v1))) & ! [v0: $i] : ! [v1: $i] : % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (relation_composition(all_49_2, v0) = v1) | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : (apply(v1, all_49_7) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v4 & apply(v0, all_1241_0) = v5 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v5 = v4))) & ! [v0: $i] : ( ~ % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (relation(v0) = 0) | ~ $i(v0) | ? [v1: any] % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apply(v2, all_49_7) = v3 & apply(v0, % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1241_0) = v4 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v2 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | function(v0) = v1 & $i(v4) & $i(v3) & $i(v2) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | v4 = v3))) & ! [v0: $i] : % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (function(v0) = 0) | ~ $i(v0) | ? [v1: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v2, all_49_7) = v3 & apply(v0, % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1241_0) = v4 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v2 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & $i(v2) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | v4 = v3)))) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (815) gives: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) ~ (all_1241_2 = 0) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (816) imply: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) $false % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (817) is inconsistent. % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) ! [v0: $i] : ! [v1: $i] : ( ~ (apply(v0, % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1241_0) = v1) | ~ $i(v0) | ? [v2: any] % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apply(v4, all_49_7) = v5 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v4 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & $i(v5) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_2, v0) = v1) | ~ % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : ? [v5: $i] : (apply(v1, all_49_7) = v4 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & apply(v0, all_1241_0) = v5 & relation(v0) = % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & function(v0) = v3 & $i(v5) & $i(v4) & ( ~ % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v2 = 0) | v5 = v4))) & ! % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | ? % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v2, all_49_7) = v3 & apply(v0, % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1241_0) = v4 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v2 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | function(v0) = v1 & $i(v4) & $i(v3) & $i(v2) & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | v4 = v3))) & ! [v0: $i] : ( ~ % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function(v0) = 0) | ~ $i(v0) | ? [v1: any] : % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apply(v2, all_49_7) = v3 & apply(v0, % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1241_0) = v4 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v2 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & $i(v2) & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | v4 = v3))) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (818) implies: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) ! [v0: $i] : ( ~ (function(v0) = 0) | ~ $i(v0) | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v4: $i] : (apply(v2, all_49_7) = v3 & apply(v0, % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1241_0) = v4 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v2 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & $i(v2) & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | v4 = v3))) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) ! [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v4: $i] : (apply(v2, all_49_7) = v3 & apply(v0, % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1241_0) = v4 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, v0) = v2 & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | function(v0) = v1 & $i(v4) & $i(v3) & $i(v2) & % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | v4 = v3))) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) ! [v0: $i] : ! [v1: $i] : ( ~ % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_49_2, v0) = v1) | ~ % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : ? [v5: $i] : (apply(v1, all_49_7) = v4 % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & apply(v0, all_1241_0) = v5 & relation(v0) = % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & function(v0) = v3 & $i(v5) & $i(v4) & ( ~ % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v2 = 0) | v5 = v4))) % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (819) with all_49_6, simplifying % 80.15/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (53), (60) gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v1, all_49_7) = v2 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_49_6, all_1241_0) = v3 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, all_49_6) = v1 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_6) = v0 & $i(v3) & $i(v2) & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (819) with all_49_1, simplifying % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (58), (324) gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v1, all_49_7) = v2 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_49_1, all_1241_0) = v3 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, all_49_1) = v1 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_1) = v0 & $i(v3) & $i(v2) & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (820) with all_49_6, simplifying % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (53), (61) gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v1, all_49_7) = v2 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_49_6, all_1241_0) = v3 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, all_49_6) = v1 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_49_6) = v0 & $i(v3) & $i(v2) & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (820) with all_49_1, simplifying % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (58), (307) gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : (apply(v1, all_49_7) = v2 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_49_1, all_1241_0) = v3 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, all_49_1) = v1 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_49_1) = v0 & $i(v3) & $i(v2) & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v0 = 0) | v3 = v2)) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (821) with all_49_6, all_49_1, % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (53), (63) gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (apply(all_49_1, all_49_7) = v2 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_49_6, all_1241_0) = v3 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_6) = v0 & function(all_49_6) = % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | v3 = v2)) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (826) with fresh symbols all_1684_0, % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1684_1, all_1684_2, all_1684_3 gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) apply(all_49_1, all_49_7) = all_1684_1 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_49_6, all_1241_0) = all_1684_0 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation(all_49_6) = all_1684_3 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | function(all_49_6) = all_1684_2 & $i(all_1684_0) & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_1684_1) & ( ~ (all_1684_2 = 0) | ~ % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1684_3 = 0) | all_1684_0 = all_1684_1) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (827) implies: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) function(all_49_6) = all_1684_2 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) relation(all_49_6) = all_1684_3 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) apply(all_49_6, all_1241_0) = all_1684_0 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) apply(all_49_1, all_49_7) = all_1684_1 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) ~ (all_1684_2 = 0) | ~ (all_1684_3 = 0) | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1684_0 = all_1684_1 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (825) with fresh symbols all_1692_0, % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1692_1, all_1692_2, all_1692_3 gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) apply(all_1692_2, all_49_7) = all_1692_1 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_49_1, all_1241_0) = all_1692_0 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, all_49_1) = % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1692_2 & function(all_49_1) = all_1692_3 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_1692_0) & $i(all_1692_1) & $i(all_1692_2) & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_1692_3 = 0) | all_1692_0 = all_1692_1) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (833) implies: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) apply(all_49_1, all_1241_0) = all_1692_0 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (824) with fresh symbols all_1696_0, % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1696_1, all_1696_2, all_1696_3 gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) apply(all_1696_2, all_49_7) = all_1696_1 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_49_6, all_1241_0) = all_1696_0 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, all_49_6) = % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1696_2 & function(all_49_6) = all_1696_3 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_1696_0) & $i(all_1696_1) & $i(all_1696_2) & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_1696_3 = 0) | all_1696_0 = all_1696_1) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (835) implies: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) function(all_49_6) = all_1696_3 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) apply(all_49_6, all_1241_0) = all_1696_0 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (823) with fresh symbols all_1702_0, % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1702_1, all_1702_2, all_1702_3 gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) apply(all_1702_2, all_49_7) = all_1702_1 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_49_1, all_1241_0) = all_1702_0 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, all_49_1) = % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1702_2 & relation(all_49_1) = all_1702_3 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_1702_0) & $i(all_1702_1) & $i(all_1702_2) & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_1702_3 = 0) | all_1702_0 = all_1702_1) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (838) implies: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) apply(all_49_1, all_1241_0) = all_1702_0 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (822) with fresh symbols all_1706_0, % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1706_1, all_1706_2, all_1706_3 gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) apply(all_1706_2, all_49_7) = all_1706_1 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_49_6, all_1241_0) = all_1706_0 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_49_2, all_49_6) = % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1706_2 & relation(all_49_6) = all_1706_3 & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_1706_0) & $i(all_1706_1) & $i(all_1706_2) & % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_1706_3 = 0) | all_1706_0 = all_1706_1) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (840) implies: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) relation(all_49_6) = all_1706_3 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) apply(all_49_6, all_1241_0) = all_1706_0 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (763), (839) imply: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) apply(all_49_1, all_49_7) = all_1702_0 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (763), (834) imply: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) apply(all_49_1, all_49_7) = all_1692_0 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (763), (842) imply: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) apply(all_49_6, all_49_7) = all_1706_0 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (763), (837) imply: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) apply(all_49_6, all_49_7) = all_1696_0 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (763), (830) imply: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) apply(all_49_6, all_49_7) = all_1684_0 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (711) gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) ~ (all_1213_2 = 0) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (848) imply: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849) $false % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (849) is inconsistent. % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) ~ (all_1213_3 = 0) | ~ (all_1213_4 = 0) | ~ % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1213_5 = 0) | (all_1213_0 = 0 & all_1213_1 = % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (850) gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) ~ (all_1213_3 = 0) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (851) imply: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) $false % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (852) is inconsistent. % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) ~ (all_1213_4 = 0) | ~ (all_1213_5 = 0) | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1213_0 = 0 & all_1213_1 = 0) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (853) gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) ~ (all_1213_4 = 0) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (854) imply: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) $false % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (855) is inconsistent. % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) ~ (all_1213_5 = 0) | (all_1213_0 = 0 & all_1213_1 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (856) gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) ~ (all_1213_5 = 0) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (857) imply: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) $false % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (858) is inconsistent. % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) all_1213_0 = 0 & all_1213_1 = 0 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (859) implies: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) all_1213_0 = 0 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (860) imply: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (861) all_1267_2 = 0 % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (726) gives: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (862) ~ (all_1267_2 = 0) % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (861), (862) imply: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (863) $false % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (863) is inconsistent. % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.15/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (864) ~ (all_1267_3 = 0) | ( ! [v0: $i] : ! [v1: $i] : % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_1267_0 = 0) | ~ (apply(v0, all_416_1) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : ? [v4: $i] : ? [v5: $i] : % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apply(v4, all_49_7) = v5 & % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_416_2, v0) = v4 & % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v5 = v1))) & ! [v0: $i] : ! [v1: $i] : % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_1267_0 = 0) | ~ % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (relation_composition(all_416_2, v0) = v1) | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : (apply(v1, all_49_7) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v4 & apply(v0, all_416_1) = v5 & % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v2 & function(v0) = v3 & % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v5 = v4))) & ! [v0: $i] : ( ~ % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1267_0 = 0) | ~ (relation(v0) = 0) | ~ % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v1: any] : ? [v2: $i] : ? [v3: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : ? [v4: $i] : (apply(v2, all_49_7) = % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v3 & apply(v0, all_416_1) = v4 & % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_416_2, v0) = v2 & % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | function(v0) = v1 & $i(v4) & $i(v3) & $i(v2) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | v4 = v3))) & ! [v0: $i] : % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_1267_0 = 0) | ~ (function(v0) = 0) | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ? % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (apply(v2, all_49_7) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v3 & apply(v0, all_416_1) = v4 & % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation_composition(all_416_2, v0) = v2 & % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | relation(v0) = v1 & $i(v4) & $i(v3) & $i(v2) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | v4 = v3)))) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (864) gives: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (865) ~ (all_1267_3 = 0) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (865) imply: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (866) $false % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (866) is inconsistent. % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_1696_3, all_49_6, % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (836) gives: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (867) all_1696_3 = 0 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_1684_2, all_1696_3, % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (828), (836) gives: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (868) all_1696_3 = all_1684_2 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_1706_3, all_49_6, % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (61), (841) gives: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (869) all_1706_3 = 0 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_1684_3, all_1706_3, % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_6, simplifying with (829), (841) gives: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (870) all_1706_3 = all_1684_3 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_49_3, all_1696_0, % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7, all_49_6, simplifying with (66), (846) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (871) all_1696_0 = all_49_3 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_1696_0, all_1706_0, % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7, all_49_6, simplifying with (845), (846) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) all_1706_0 = all_1696_0 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_1684_0, all_1706_0, % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7, all_49_6, simplifying with (845), (847) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) all_1706_0 = all_1684_0 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_49_0, all_1692_0, % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7, all_49_1, simplifying with (67), (844) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) all_1692_0 = all_49_0 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_1692_0, all_1702_0, % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7, all_49_1, simplifying with (843), (844) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) all_1702_0 = all_1692_0 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_1684_1, all_1702_0, % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_49_7, all_49_1, simplifying with (831), (843) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) all_1702_0 = all_1684_1 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (872), (873) imply: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) all_1696_0 = all_1684_0 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (877) implies: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) all_1696_0 = all_1684_0 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (869), (870) imply: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (879) all_1684_3 = 0 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (875), (876) imply: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (880) all_1692_0 = all_1684_1 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (880) implies: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881) all_1692_0 = all_1684_1 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (871), (878) imply: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (882) all_1684_0 = all_49_3 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (867), (868) imply: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) all_1684_2 = 0 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (874), (881) imply: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) all_1684_1 = all_49_0 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (832) gives: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) ~ (all_1684_2 = 0) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (883), (885) imply: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) $false % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (886) is inconsistent. % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887) ~ (all_1684_3 = 0) | all_1684_0 = all_1684_1 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (887) gives: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888) ~ (all_1684_3 = 0) % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (879), (888) imply: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (889) $false % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (889) is inconsistent. % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (890) all_1684_0 = all_1684_1 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (882), (890) imply: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (891) all_1684_1 = all_49_3 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (891) implies: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (892) all_1684_1 = all_49_3 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (884), (892) imply: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (893) all_49_0 = all_49_3 % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (893) imply: % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (894) $false % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (894) is inconsistent. % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.98 | | | | | | | | | | | | | | | | | | | | | | % 80.15/11.99 | | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.99 | | | | | | | | | | | | | | | | | | | | | % 80.15/11.99 | | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.99 | | | | | | | | | | | | | | | | | | | | % 80.15/11.99 | | | | | | | | | | | | | | | | | | | End of split % 80.15/11.99 | | | | | | | | | | | | | | | | | | | % 80.15/11.99 | | | | | | | | | | | | | | | | | | End of split % 80.15/11.99 | | | | | | | | | | | | | | | | | | % 80.15/11.99 | | | | | | | | | | | | | | | | | End of split % 80.15/11.99 | | | | | | | | | | | | | | | | | % 80.15/11.99 | | | | | | | | | | | | | | | | End of split % 80.15/11.99 | | | | | | | | | | | | | | | | % 80.15/11.99 | | | | | | | | | | | | | | | End of split % 80.15/11.99 | | | | | | | | | | | | | | | % 80.15/11.99 | | | | | | | | | | | | | | End of split % 80.15/11.99 | | | | | | | | | | | | | | % 80.15/11.99 | | | | | | | | | | | | | End of split % 80.15/11.99 | | | | | | | | | | | | | % 80.15/11.99 | | | | | | | | | | | | End of split % 80.15/11.99 | | | | | | | | | | | | % 80.15/11.99 | | | | | | | | | | | End of split % 80.15/11.99 | | | | | | | | | | | % 80.15/11.99 | | | | | | | | | | End of split % 80.15/11.99 | | | | | | | | | | % 80.15/11.99 | | | | | | | | | End of split % 80.15/11.99 | | | | | | | | | % 80.15/11.99 | | | | | | | | End of split % 80.15/11.99 | | | | | | | | % 80.15/11.99 | | | | | | | End of split % 80.15/11.99 | | | | | | | % 80.15/11.99 | | | | | | End of split % 80.15/11.99 | | | | | | % 80.15/11.99 | | | | | End of split % 80.15/11.99 | | | | | % 80.15/11.99 | | | | End of split % 80.15/11.99 | | | | % 80.15/11.99 | | | End of split % 80.15/11.99 | | | % 80.15/11.99 | | End of split % 80.15/11.99 | | % 80.15/11.99 | End of split % 80.15/11.99 | % 80.15/11.99 End of proof % 80.15/11.99 % SZS output end Proof for theBenchmark % 80.15/11.99 % 80.15/11.99 11386ms %------------------------------------------------------------------------------