%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU046+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 : n029.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 17:42:23 EDT 2023 % Result : Theorem 62.55s 9.11s % Output : Proof 63.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU046+1 : TPTP v8.1.2. Released v3.2.0. % 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n029.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Wed Aug 23 16:47:52 EDT 2023 % 0.12/0.33 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.61 Running up to 7 provers in parallel. % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.78/1.12 Prover 4: Preprocessing ... % 2.78/1.12 Prover 1: Preprocessing ... % 2.78/1.15 Prover 2: Preprocessing ... % 2.78/1.15 Prover 6: Preprocessing ... % 2.78/1.15 Prover 0: Preprocessing ... % 2.78/1.15 Prover 5: Preprocessing ... % 2.78/1.15 Prover 3: Preprocessing ... % 6.42/1.68 Prover 1: Warning: ignoring some quantifiers % 6.98/1.73 Prover 3: Warning: ignoring some quantifiers % 6.98/1.73 Prover 5: Proving ... % 6.98/1.75 Prover 3: Constructing countermodel ... % 6.98/1.77 Prover 1: Constructing countermodel ... % 7.45/1.80 Prover 6: Proving ... % 8.24/1.91 Prover 2: Proving ... % 12.21/2.44 Prover 4: Warning: ignoring some quantifiers % 12.21/2.52 Prover 4: Constructing countermodel ... % 12.21/2.52 Prover 0: Proving ... % 13.48/2.65 Prover 3: gave up % 14.00/2.68 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 14.55/2.74 Prover 7: Preprocessing ... % 14.55/2.78 Prover 1: gave up % 14.55/2.78 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 14.55/2.81 Prover 8: Preprocessing ... % 15.30/2.88 Prover 7: Warning: ignoring some quantifiers % 15.30/2.89 Prover 7: Constructing countermodel ... % 15.30/2.96 Prover 8: Warning: ignoring some quantifiers % 15.30/2.96 Prover 8: Constructing countermodel ... % 20.30/3.56 Prover 8: gave up % 20.30/3.58 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 21.06/3.64 Prover 9: Preprocessing ... % 24.40/4.05 Prover 9: Warning: ignoring some quantifiers % 24.40/4.06 Prover 9: Constructing countermodel ... % 60.18/8.79 Prover 2: stopped % 60.18/8.80 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 60.18/8.83 Prover 10: Preprocessing ... % 60.18/8.88 Prover 10: Warning: ignoring some quantifiers % 60.18/8.88 Prover 10: Constructing countermodel ... % 60.18/9.00 Prover 10: gave up % 60.18/9.01 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 62.27/9.06 Prover 11: Preprocessing ... % 62.55/9.10 Prover 4: Found proof (size 138) % 62.55/9.10 Prover 4: proved (8471ms) % 62.55/9.10 Prover 5: stopped % 62.55/9.10 Prover 9: stopped % 62.55/9.10 Prover 7: stopped % 62.55/9.10 Prover 6: stopped % 62.55/9.10 Prover 0: stopped % 62.55/9.11 Prover 11: stopped % 62.55/9.11 % 62.55/9.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 62.55/9.11 % 62.55/9.13 % SZS output start Proof for theBenchmark % 62.79/9.13 Assumptions after simplification: % 62.79/9.13 --------------------------------- % 62.79/9.13 % 62.79/9.13 (cc2_funct_1) % 62.83/9.16 ! [v0: $i] : ! [v1: any] : ( ~ (one_to_one(v0) = v1) | ~ $i(v0) | ? [v2: % 62.83/9.16 any] : ? [v3: any] : ? [v4: any] : (relation(v0) = v2 & function(v0) = % 62.83/9.16 v4 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v1 = 0))) % 62.83/9.16 & ! [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: % 62.83/9.16 any] : ? [v3: any] : (one_to_one(v0) = v3 & function(v0) = v2 & empty(v0) % 62.83/9.16 = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = 0))) & ! [v0: $i] : ( ~ % 62.83/9.16 (function(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : ? [v3: any] % 62.83/9.16 : (one_to_one(v0) = v3 & relation(v0) = v1 & empty(v0) = v2 & ( ~ (v2 = 0) | % 62.83/9.16 ~ (v1 = 0) | v3 = 0))) & ! [v0: $i] : ( ~ (empty(v0) = 0) | ~ $i(v0) % 62.83/9.16 | ? [v1: any] : ? [v2: any] : ? [v3: any] : (one_to_one(v0) = v3 & % 62.83/9.16 relation(v0) = v1 & function(v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = % 62.83/9.16 0))) % 62.83/9.16 % 62.83/9.16 (d3_tarski) % 62.83/9.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 62.83/9.17 (subset(v0, v1) = 0) | ~ (in(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 62.83/9.17 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & in(v2, v0) = v4)) & ! [v0: $i] : ! % 62.83/9.17 [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ~ $i(v1) | ~ % 62.83/9.17 $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & in(v3, v1) = v4 & % 62.83/9.17 in(v3, v0) = 0 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 62.83/9.17 (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 62.83/9.17 $i(v0) | in(v2, v1) = 0) % 62.83/9.17 % 62.83/9.17 (dt_k8_relat_1) % 62.83/9.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_rng_restriction(v0, % 62.83/9.17 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 62.83/9.17 (relation(v2) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 62.83/9.17 % 62.83/9.17 (fc5_funct_1) % 62.83/9.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_rng_restriction(v0, % 62.83/9.17 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? % 62.83/9.17 [v5: any] : ? [v6: any] : (relation(v2) = v5 & relation(v1) = v3 & % 62.83/9.17 function(v2) = v6 & function(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = % 62.83/9.17 0 & v5 = 0)))) % 62.83/9.17 % 62.83/9.17 (fc5_relat_1) % 62.83/9.17 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty(v0) = v1) | ~ $i(v0) | ? % 62.83/9.17 [v2: any] : ? [v3: $i] : ? [v4: any] : (relation_dom(v0) = v3 & % 62.83/9.17 relation(v0) = v2 & empty(v3) = v4 & $i(v3) & ( ~ (v4 = 0) | ~ (v2 = % 62.83/9.17 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ (relation_dom(v0) = v1) | ~ % 62.83/9.17 $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (relation(v0) = v3 & % 62.83/9.17 empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | v2 = 0))) & % 62.83/9.17 ! [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] % 62.83/9.17 : ? [v3: any] : (relation_dom(v0) = v2 & empty(v2) = v3 & empty(v0) = v1 & % 62.83/9.17 $i(v2) & ( ~ (v3 = 0) | v1 = 0))) % 62.83/9.17 % 62.83/9.17 (fc6_relat_1) % 62.83/9.18 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty(v0) = v1) | ~ $i(v0) | ? % 62.83/9.18 [v2: any] : ? [v3: $i] : ? [v4: any] : (relation_rng(v0) = v3 & % 62.83/9.18 relation(v0) = v2 & empty(v3) = v4 & $i(v3) & ( ~ (v4 = 0) | ~ (v2 = % 62.83/9.18 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ % 62.83/9.18 $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (relation(v0) = v3 & % 62.83/9.18 empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | v2 = 0))) & % 62.83/9.18 ! [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] % 62.83/9.18 : ? [v3: any] : (relation_rng(v0) = v2 & empty(v2) = v3 & empty(v0) = v1 & % 62.83/9.18 $i(v2) & ( ~ (v3 = 0) | v1 = 0))) % 62.83/9.18 % 62.83/9.18 (t118_relat_1) % 62.83/9.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_rng_restriction(v0, % 62.83/9.18 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: % 62.83/9.18 $i] : ? [v6: any] : (relation_rng(v2) = v4 & relation_rng(v1) = v5 & % 62.83/9.18 subset(v4, v5) = v6 & relation(v1) = v3 & $i(v5) & $i(v4) & ( ~ (v3 = 0) | % 62.83/9.18 v6 = 0))) % 62.83/9.18 % 62.83/9.18 (t85_funct_1) % 63.13/9.25 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 63.13/9.25 (relation_dom(v1) = v2) | ~ (relation_rng_restriction(v0, v3) = v4) | ~ % 63.13/9.25 $i(v3) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] % 63.13/9.25 : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: int] : ? [v12: $i] : % 63.13/9.25 ? [v13: $i] : ? [v14: $i] : ? [v15: any] : ? [v16: any] : ? [v17: $i] : % 63.13/9.25 ? [v18: any] : ($i(v14) & $i(v10) & ((relation_dom(v3) = v9 & relation(v3) % 63.13/9.25 = v7 & function(v3) = v8 & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ % 63.13/9.25 (v4 = v1) | ( ! [v19: $i] : ! [v20: int] : (v20 = 0 | ~ % 63.13/9.25 (in(v19, v2) = v20) | ~ $i(v19) | ? [v21: any] : ? [v22: % 63.13/9.25 $i] : ? [v23: any] : (apply(v3, v19) = v22 & in(v22, v0) % 63.13/9.26 = v23 & in(v19, v9) = v21 & $i(v22) & ( ~ (v23 = 0) | ~ % 63.13/9.26 (v21 = 0)))) & ! [v19: $i] : ! [v20: $i] : ( ~ % 63.13/9.26 (apply(v3, v19) = v20) | ~ $i(v19) | ? [v21: any] : ? % 63.13/9.26 [v22: any] : ? [v23: any] : (in(v20, v0) = v23 & in(v19, % 63.13/9.26 v9) = v22 & in(v19, v2) = v21 & ( ~ (v21 = 0) | (v23 = 0 % 63.13/9.26 & v22 = 0)))) & ! [v19: $i] : ! [v20: $i] : ( ~ % 63.13/9.26 (apply(v3, v19) = v20) | ~ $i(v19) | ? [v21: any] : ? % 63.13/9.26 [v22: any] : ? [v23: any] : (in(v20, v0) = v22 & in(v19, % 63.13/9.26 v9) = v21 & in(v19, v2) = v23 & ( ~ (v22 = 0) | ~ (v21 % 63.13/9.26 = 0) | v23 = 0))) & ! [v19: $i] : ! [v20: $i] : ( ~ % 63.13/9.26 (apply(v3, v19) = v20) | ~ $i(v19) | ? [v21: any] : ? % 63.13/9.26 [v22: $i] : (apply(v1, v19) = v22 & in(v19, v2) = v21 & % 63.13/9.26 $i(v22) & ( ~ (v21 = 0) | v22 = v20))) & ! [v19: $i] : ! % 63.13/9.26 [v20: $i] : ( ~ (apply(v1, v19) = v20) | ~ $i(v19) | ? [v21: % 63.13/9.26 any] : ? [v22: $i] : (apply(v3, v19) = v22 & in(v19, v2) % 63.13/9.26 = v21 & $i(v22) & ( ~ (v21 = 0) | v22 = v20))) & ! [v19: % 63.13/9.26 $i] : ! [v20: any] : ( ~ (in(v19, v9) = v20) | ~ $i(v19) | % 63.13/9.26 ? [v21: any] : ? [v22: $i] : ? [v23: any] : (apply(v3, % 63.13/9.26 v19) = v22 & in(v22, v0) = v23 & in(v19, v2) = v21 & % 63.13/9.26 $i(v22) & ( ~ (v21 = 0) | (v23 = 0 & v20 = 0)))) & ! % 63.13/9.26 [v19: $i] : ( ~ (in(v19, v9) = 0) | ~ $i(v19) | ? [v20: $i] % 63.13/9.26 : ? [v21: any] : ? [v22: any] : (apply(v3, v19) = v20 & % 63.13/9.26 in(v20, v0) = v21 & in(v19, v2) = v22 & $i(v20) & ( ~ (v21 % 63.13/9.26 = 0) | v22 = 0))) & ! [v19: $i] : ( ~ (in(v19, v2) = % 63.13/9.26 0) | ~ $i(v19) | ? [v20: $i] : (apply(v3, v19) = v20 & % 63.13/9.26 apply(v1, v19) = v20 & $i(v20))) & ! [v19: $i] : ( ~ % 63.13/9.26 (in(v19, v2) = 0) | ~ $i(v19) | ? [v20: $i] : (apply(v3, % 63.13/9.26 v19) = v20 & in(v20, v0) = 0 & in(v19, v9) = 0 & % 63.13/9.26 $i(v20))))) & (v4 = v1 | (v11 = 0 & ~ (v13 = v12) & % 63.13/9.26 apply(v3, v10) = v13 & apply(v1, v10) = v12 & in(v10, v2) = 0 % 63.13/9.26 & $i(v13) & $i(v12)) | (apply(v3, v14) = v17 & in(v17, v0) = % 63.13/9.26 v18 & in(v14, v9) = v16 & in(v14, v2) = v15 & $i(v17) & ( ~ % 63.13/9.26 (v18 = 0) | ~ (v16 = 0) | ~ (v15 = 0)) & (v15 = 0 | (v18 = % 63.13/9.26 0 & v16 = 0))))))) | (relation(v1) = v5 & function(v1) = % 63.13/9.26 v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))))) & ? [v0: $i] : ! [v1: $i] : ! % 63.13/9.26 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (relation_dom(v3) = v4) | ~ % 63.13/9.26 (relation_dom(v1) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : % 63.13/9.26 ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? % 63.13/9.26 [v11: int] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: any] : ? % 63.13/9.26 [v16: any] : ? [v17: $i] : ? [v18: any] : ($i(v14) & $i(v10) & % 63.13/9.26 ((relation_rng_restriction(v0, v3) = v9 & relation(v3) = v7 & function(v3) % 63.13/9.26 = v8 & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = v1) | ( ! % 63.13/9.26 [v19: $i] : ! [v20: int] : (v20 = 0 | ~ (in(v19, v2) = v20) % 63.13/9.26 | ~ $i(v19) | ? [v21: any] : ? [v22: $i] : ? [v23: any] % 63.13/9.26 : (apply(v3, v19) = v22 & in(v22, v0) = v23 & in(v19, v4) = % 63.13/9.26 v21 & $i(v22) & ( ~ (v23 = 0) | ~ (v21 = 0)))) & ! [v19: % 63.13/9.26 $i] : ! [v20: $i] : ( ~ (apply(v3, v19) = v20) | ~ $i(v19) % 63.13/9.26 | ? [v21: any] : ? [v22: any] : ? [v23: any] : (in(v20, % 63.13/9.26 v0) = v23 & in(v19, v4) = v22 & in(v19, v2) = v21 & ( ~ % 63.13/9.26 (v21 = 0) | (v23 = 0 & v22 = 0)))) & ! [v19: $i] : ! % 63.13/9.26 [v20: $i] : ( ~ (apply(v3, v19) = v20) | ~ $i(v19) | ? [v21: % 63.13/9.26 any] : ? [v22: any] : ? [v23: any] : (in(v20, v0) = v22 % 63.13/9.26 & in(v19, v4) = v21 & in(v19, v2) = v23 & ( ~ (v22 = 0) | % 63.13/9.26 ~ (v21 = 0) | v23 = 0))) & ! [v19: $i] : ! [v20: $i] : % 63.13/9.26 ( ~ (apply(v3, v19) = v20) | ~ $i(v19) | ? [v21: any] : ? % 63.13/9.26 [v22: $i] : (apply(v1, v19) = v22 & in(v19, v2) = v21 & % 63.13/9.26 $i(v22) & ( ~ (v21 = 0) | v22 = v20))) & ! [v19: $i] : ! % 63.13/9.26 [v20: $i] : ( ~ (apply(v1, v19) = v20) | ~ $i(v19) | ? [v21: % 63.13/9.26 any] : ? [v22: $i] : (apply(v3, v19) = v22 & in(v19, v2) % 63.13/9.26 = v21 & $i(v22) & ( ~ (v21 = 0) | v22 = v20))) & ! [v19: % 63.13/9.26 $i] : ! [v20: any] : ( ~ (in(v19, v4) = v20) | ~ $i(v19) | % 63.13/9.26 ? [v21: any] : ? [v22: $i] : ? [v23: any] : (apply(v3, % 63.13/9.26 v19) = v22 & in(v22, v0) = v23 & in(v19, v2) = v21 & % 63.13/9.26 $i(v22) & ( ~ (v21 = 0) | (v23 = 0 & v20 = 0)))) & ! % 63.13/9.26 [v19: $i] : ( ~ (in(v19, v4) = 0) | ~ $i(v19) | ? [v20: $i] % 63.13/9.26 : ? [v21: any] : ? [v22: any] : (apply(v3, v19) = v20 & % 63.13/9.26 in(v20, v0) = v21 & in(v19, v2) = v22 & $i(v20) & ( ~ (v21 % 63.13/9.26 = 0) | v22 = 0))) & ! [v19: $i] : ( ~ (in(v19, v2) = % 63.13/9.26 0) | ~ $i(v19) | ? [v20: $i] : (apply(v3, v19) = v20 & % 63.13/9.26 apply(v1, v19) = v20 & $i(v20))) & ! [v19: $i] : ( ~ % 63.13/9.26 (in(v19, v2) = 0) | ~ $i(v19) | ? [v20: $i] : (apply(v3, % 63.13/9.26 v19) = v20 & in(v20, v0) = 0 & in(v19, v4) = 0 & % 63.13/9.26 $i(v20))))) & (v9 = v1 | (v11 = 0 & ~ (v13 = v12) & % 63.13/9.26 apply(v3, v10) = v13 & apply(v1, v10) = v12 & in(v10, v2) = 0 % 63.13/9.26 & $i(v13) & $i(v12)) | (apply(v3, v14) = v17 & in(v17, v0) = % 63.13/9.26 v18 & in(v14, v4) = v16 & in(v14, v2) = v15 & $i(v17) & ( ~ % 63.13/9.26 (v18 = 0) | ~ (v16 = 0) | ~ (v15 = 0)) & (v15 = 0 | (v18 = % 63.13/9.26 0 & v16 = 0))))))) | (relation(v1) = v5 & function(v1) = % 63.13/9.26 v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))))) & ? [v0: $i] : ! [v1: $i] : ! % 63.13/9.26 [v2: $i] : ! [v3: $i] : ( ~ (relation_dom(v1) = v2) | ~ (relation(v3) = 0) | % 63.13/9.26 ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: % 63.13/9.26 any] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: int] : ? [v11: % 63.13/9.26 $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: any] : ? [v15: any] : ? % 63.13/9.26 [v16: $i] : ? [v17: any] : ($i(v13) & $i(v9) & ((relation_dom(v3) = v8 & % 63.13/9.26 relation_rng_restriction(v0, v3) = v7 & function(v3) = v6 & $i(v8) & % 63.13/9.26 $i(v7) & ( ~ (v6 = 0) | (( ~ (v7 = v1) | ( ! [v18: $i] : ! [v19: int] % 63.13/9.26 : (v19 = 0 | ~ (in(v18, v2) = v19) | ~ $i(v18) | ? [v20: % 63.13/9.26 any] : ? [v21: $i] : ? [v22: any] : (apply(v3, v18) = % 63.13/9.26 v21 & in(v21, v0) = v22 & in(v18, v8) = v20 & $i(v21) & ( % 63.13/9.26 ~ (v22 = 0) | ~ (v20 = 0)))) & ! [v18: $i] : ! [v19: % 63.13/9.26 $i] : ( ~ (apply(v3, v18) = v19) | ~ $i(v18) | ? [v20: % 63.13/9.26 any] : ? [v21: any] : ? [v22: any] : (in(v19, v0) = v22 % 63.13/9.26 & in(v18, v8) = v21 & in(v18, v2) = v20 & ( ~ (v20 = 0) | % 63.13/9.26 (v22 = 0 & v21 = 0)))) & ! [v18: $i] : ! [v19: $i] : ( % 63.13/9.26 ~ (apply(v3, v18) = v19) | ~ $i(v18) | ? [v20: any] : ? % 63.13/9.26 [v21: any] : ? [v22: any] : (in(v19, v0) = v21 & in(v18, % 63.13/9.26 v8) = v20 & in(v18, v2) = v22 & ( ~ (v21 = 0) | ~ (v20 % 63.13/9.26 = 0) | v22 = 0))) & ! [v18: $i] : ! [v19: $i] : ( ~ % 63.13/9.26 (apply(v3, v18) = v19) | ~ $i(v18) | ? [v20: any] : ? % 63.13/9.26 [v21: $i] : (apply(v1, v18) = v21 & in(v18, v2) = v20 & % 63.13/9.26 $i(v21) & ( ~ (v20 = 0) | v21 = v19))) & ! [v18: $i] : ! % 63.13/9.26 [v19: $i] : ( ~ (apply(v1, v18) = v19) | ~ $i(v18) | ? [v20: % 63.13/9.26 any] : ? [v21: $i] : (apply(v3, v18) = v21 & in(v18, v2) % 63.13/9.26 = v20 & $i(v21) & ( ~ (v20 = 0) | v21 = v19))) & ! [v18: % 63.13/9.26 $i] : ! [v19: any] : ( ~ (in(v18, v8) = v19) | ~ $i(v18) | % 63.13/9.26 ? [v20: any] : ? [v21: $i] : ? [v22: any] : (apply(v3, % 63.13/9.26 v18) = v21 & in(v21, v0) = v22 & in(v18, v2) = v20 & % 63.13/9.26 $i(v21) & ( ~ (v20 = 0) | (v22 = 0 & v19 = 0)))) & ! % 63.13/9.26 [v18: $i] : ( ~ (in(v18, v8) = 0) | ~ $i(v18) | ? [v19: $i] % 63.13/9.26 : ? [v20: any] : ? [v21: any] : (apply(v3, v18) = v19 & % 63.13/9.26 in(v19, v0) = v20 & in(v18, v2) = v21 & $i(v19) & ( ~ (v20 % 63.13/9.26 = 0) | v21 = 0))) & ! [v18: $i] : ( ~ (in(v18, v2) = % 63.13/9.26 0) | ~ $i(v18) | ? [v19: $i] : (apply(v3, v18) = v19 & % 63.13/9.26 apply(v1, v18) = v19 & $i(v19))) & ! [v18: $i] : ( ~ % 63.13/9.26 (in(v18, v2) = 0) | ~ $i(v18) | ? [v19: $i] : (apply(v3, % 63.13/9.26 v18) = v19 & in(v19, v0) = 0 & in(v18, v8) = 0 & % 63.13/9.26 $i(v19))))) & (v7 = v1 | (v10 = 0 & ~ (v12 = v11) & % 63.13/9.26 apply(v3, v9) = v12 & apply(v1, v9) = v11 & in(v9, v2) = 0 & % 63.13/9.26 $i(v12) & $i(v11)) | (apply(v3, v13) = v16 & in(v16, v0) = v17 % 63.13/9.26 & in(v13, v8) = v15 & in(v13, v2) = v14 & $i(v16) & ( ~ (v17 = % 63.13/9.26 0) | ~ (v15 = 0) | ~ (v14 = 0)) & (v14 = 0 | (v17 = 0 & % 63.13/9.26 v15 = 0))))))) | (relation(v1) = v4 & function(v1) = v5 & % 63.13/9.26 ( ~ (v5 = 0) | ~ (v4 = 0)))))) & ? [v0: $i] : ! [v1: $i] : ! [v2: % 63.13/9.26 $i] : ! [v3: $i] : ( ~ (relation_dom(v1) = v2) | ~ (function(v3) = 0) | ~ % 63.13/9.26 $i(v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] % 63.13/9.26 : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: int] : ? [v11: $i] : % 63.13/9.26 ? [v12: $i] : ? [v13: $i] : ? [v14: any] : ? [v15: any] : ? [v16: $i] : % 63.13/9.26 ? [v17: any] : ($i(v13) & $i(v9) & ((relation_dom(v3) = v8 & % 63.13/9.26 relation_rng_restriction(v0, v3) = v7 & relation(v3) = v6 & $i(v8) & % 63.13/9.26 $i(v7) & ( ~ (v6 = 0) | (( ~ (v7 = v1) | ( ! [v18: $i] : ! [v19: int] % 63.13/9.26 : (v19 = 0 | ~ (in(v18, v2) = v19) | ~ $i(v18) | ? [v20: % 63.13/9.26 any] : ? [v21: $i] : ? [v22: any] : (apply(v3, v18) = % 63.13/9.26 v21 & in(v21, v0) = v22 & in(v18, v8) = v20 & $i(v21) & ( % 63.13/9.26 ~ (v22 = 0) | ~ (v20 = 0)))) & ! [v18: $i] : ! [v19: % 63.13/9.26 $i] : ( ~ (apply(v3, v18) = v19) | ~ $i(v18) | ? [v20: % 63.13/9.26 any] : ? [v21: any] : ? [v22: any] : (in(v19, v0) = v22 % 63.13/9.26 & in(v18, v8) = v21 & in(v18, v2) = v20 & ( ~ (v20 = 0) | % 63.13/9.26 (v22 = 0 & v21 = 0)))) & ! [v18: $i] : ! [v19: $i] : ( % 63.13/9.26 ~ (apply(v3, v18) = v19) | ~ $i(v18) | ? [v20: any] : ? % 63.13/9.26 [v21: any] : ? [v22: any] : (in(v19, v0) = v21 & in(v18, % 63.13/9.26 v8) = v20 & in(v18, v2) = v22 & ( ~ (v21 = 0) | ~ (v20 % 63.13/9.26 = 0) | v22 = 0))) & ! [v18: $i] : ! [v19: $i] : ( ~ % 63.13/9.26 (apply(v3, v18) = v19) | ~ $i(v18) | ? [v20: any] : ? % 63.13/9.26 [v21: $i] : (apply(v1, v18) = v21 & in(v18, v2) = v20 & % 63.13/9.26 $i(v21) & ( ~ (v20 = 0) | v21 = v19))) & ! [v18: $i] : ! % 63.13/9.26 [v19: $i] : ( ~ (apply(v1, v18) = v19) | ~ $i(v18) | ? [v20: % 63.13/9.26 any] : ? [v21: $i] : (apply(v3, v18) = v21 & in(v18, v2) % 63.13/9.26 = v20 & $i(v21) & ( ~ (v20 = 0) | v21 = v19))) & ! [v18: % 63.13/9.26 $i] : ! [v19: any] : ( ~ (in(v18, v8) = v19) | ~ $i(v18) | % 63.13/9.26 ? [v20: any] : ? [v21: $i] : ? [v22: any] : (apply(v3, % 63.13/9.26 v18) = v21 & in(v21, v0) = v22 & in(v18, v2) = v20 & % 63.13/9.26 $i(v21) & ( ~ (v20 = 0) | (v22 = 0 & v19 = 0)))) & ! % 63.13/9.26 [v18: $i] : ( ~ (in(v18, v8) = 0) | ~ $i(v18) | ? [v19: $i] % 63.13/9.26 : ? [v20: any] : ? [v21: any] : (apply(v3, v18) = v19 & % 63.13/9.26 in(v19, v0) = v20 & in(v18, v2) = v21 & $i(v19) & ( ~ (v20 % 63.13/9.26 = 0) | v21 = 0))) & ! [v18: $i] : ( ~ (in(v18, v2) = % 63.13/9.26 0) | ~ $i(v18) | ? [v19: $i] : (apply(v3, v18) = v19 & % 63.13/9.26 apply(v1, v18) = v19 & $i(v19))) & ! [v18: $i] : ( ~ % 63.13/9.26 (in(v18, v2) = 0) | ~ $i(v18) | ? [v19: $i] : (apply(v3, % 63.13/9.26 v18) = v19 & in(v19, v0) = 0 & in(v18, v8) = 0 & % 63.13/9.26 $i(v19))))) & (v7 = v1 | (v10 = 0 & ~ (v12 = v11) & % 63.13/9.26 apply(v3, v9) = v12 & apply(v1, v9) = v11 & in(v9, v2) = 0 & % 63.13/9.26 $i(v12) & $i(v11)) | (apply(v3, v13) = v16 & in(v16, v0) = v17 % 63.13/9.26 & in(v13, v8) = v15 & in(v13, v2) = v14 & $i(v16) & ( ~ (v17 = % 63.13/9.26 0) | ~ (v15 = 0) | ~ (v14 = 0)) & (v14 = 0 | (v17 = 0 & % 63.13/9.26 v15 = 0))))))) | (relation(v1) = v4 & function(v1) = v5 & % 63.13/9.26 ( ~ (v5 = 0) | ~ (v4 = 0)))))) & ? [v0: $i] : ! [v1: $i] : ( ~ % 63.13/9.26 (relation(v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : % 63.13/9.26 (relation_dom(v1) = v3 & function(v1) = v2 & $i(v3) & ( ~ (v2 = 0) | ( ! % 63.13/9.26 [v4: $i] : ! [v5: $i] : ( ~ (relation_dom(v4) = v5) | ~ $i(v4) | ? % 63.13/9.26 [v6: any] : ? [v7: any] : ? [v8: $i] : ? [v9: $i] : ? [v10: int] % 63.13/9.26 : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: any] : ? % 63.13/9.26 [v15: any] : ? [v16: $i] : ? [v17: any] : % 63.13/9.26 (relation_rng_restriction(v0, v4) = v8 & relation(v4) = v6 & % 63.13/9.26 function(v4) = v7 & $i(v13) & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ % 63.13/9.26 (v6 = 0) | (( ~ (v8 = v1) | ( ! [v18: $i] : ! [v19: int] : (v19 % 63.13/9.26 = 0 | ~ (in(v18, v3) = v19) | ~ $i(v18) | ? [v20: % 63.13/9.26 any] : ? [v21: $i] : ? [v22: any] : (apply(v4, v18) % 63.13/9.26 = v21 & in(v21, v0) = v22 & in(v18, v5) = v20 & % 63.13/9.26 $i(v21) & ( ~ (v22 = 0) | ~ (v20 = 0)))) & ! [v18: % 63.13/9.26 $i] : ! [v19: $i] : ( ~ (apply(v4, v18) = v19) | ~ % 63.13/9.26 $i(v18) | ? [v20: any] : ? [v21: any] : ? [v22: any] % 63.13/9.26 : (in(v19, v0) = v22 & in(v18, v5) = v21 & in(v18, v3) = % 63.13/9.26 v20 & ( ~ (v20 = 0) | (v22 = 0 & v21 = 0)))) & ! % 63.13/9.26 [v18: $i] : ! [v19: $i] : ( ~ (apply(v4, v18) = v19) | ~ % 63.13/9.26 $i(v18) | ? [v20: any] : ? [v21: any] : ? [v22: any] % 63.13/9.26 : (in(v19, v0) = v21 & in(v18, v5) = v20 & in(v18, v3) = % 63.13/9.26 v22 & ( ~ (v21 = 0) | ~ (v20 = 0) | v22 = 0))) & ! % 63.13/9.26 [v18: $i] : ! [v19: $i] : ( ~ (apply(v4, v18) = v19) | ~ % 63.13/9.26 $i(v18) | ? [v20: any] : ? [v21: $i] : (apply(v1, v18) % 63.13/9.26 = v21 & in(v18, v3) = v20 & $i(v21) & ( ~ (v20 = 0) | % 63.13/9.26 v21 = v19))) & ! [v18: $i] : ! [v19: $i] : ( ~ % 63.13/9.26 (apply(v1, v18) = v19) | ~ $i(v18) | ? [v20: any] : ? % 63.13/9.26 [v21: $i] : (apply(v4, v18) = v21 & in(v18, v3) = v20 & % 63.13/9.26 $i(v21) & ( ~ (v20 = 0) | v21 = v19))) & ! [v18: $i] % 63.13/9.26 : ! [v19: any] : ( ~ (in(v18, v5) = v19) | ~ $i(v18) | % 63.13/9.26 ? [v20: any] : ? [v21: $i] : ? [v22: any] : (apply(v4, % 63.13/9.26 v18) = v21 & in(v21, v0) = v22 & in(v18, v3) = v20 & % 63.13/9.26 $i(v21) & ( ~ (v20 = 0) | (v22 = 0 & v19 = 0)))) & ! % 63.13/9.26 [v18: $i] : ( ~ (in(v18, v5) = 0) | ~ $i(v18) | ? [v19: % 63.13/9.26 $i] : ? [v20: any] : ? [v21: any] : (apply(v4, v18) % 63.13/9.26 = v19 & in(v19, v0) = v20 & in(v18, v3) = v21 & % 63.13/9.26 $i(v19) & ( ~ (v20 = 0) | v21 = 0))) & ! [v18: $i] : % 63.13/9.26 ( ~ (in(v18, v3) = 0) | ~ $i(v18) | ? [v19: $i] : % 63.13/9.26 (apply(v4, v18) = v19 & apply(v1, v18) = v19 & $i(v19))) % 63.13/9.26 & ! [v18: $i] : ( ~ (in(v18, v3) = 0) | ~ $i(v18) | ? % 63.13/9.26 [v19: $i] : (apply(v4, v18) = v19 & in(v19, v0) = 0 & % 63.13/9.26 in(v18, v5) = 0 & $i(v19))))) & (v8 = v1 | (v10 = 0 & % 63.13/9.26 ~ (v12 = v11) & apply(v4, v9) = v12 & apply(v1, v9) = v11 % 63.13/9.26 & in(v9, v3) = 0 & $i(v12) & $i(v11)) | (apply(v4, v13) = % 63.13/9.26 v16 & in(v16, v0) = v17 & in(v13, v5) = v15 & in(v13, v3) % 63.13/9.26 = v14 & $i(v16) & ( ~ (v17 = 0) | ~ (v15 = 0) | ~ (v14 = % 63.13/9.26 0)) & (v14 = 0 | (v17 = 0 & v15 = 0)))))))) & ! [v4: % 63.13/9.26 $i] : ! [v5: $i] : ( ~ (relation_rng_restriction(v0, v4) = v5) | ~ % 63.13/9.26 $i(v4) | ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? [v9: $i] : % 63.13/9.26 ? [v10: int] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 63.13/9.26 any] : ? [v15: any] : ? [v16: $i] : ? [v17: any] : % 63.13/9.26 (relation_dom(v4) = v8 & relation(v4) = v6 & function(v4) = v7 & % 63.13/9.26 $i(v13) & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | (( ~ (v5 % 63.13/9.26 = v1) | ( ! [v18: $i] : ! [v19: int] : (v19 = 0 | ~ % 63.13/9.26 (in(v18, v3) = v19) | ~ $i(v18) | ? [v20: any] : ? % 63.13/9.26 [v21: $i] : ? [v22: any] : (apply(v4, v18) = v21 & % 63.13/9.26 in(v21, v0) = v22 & in(v18, v8) = v20 & $i(v21) & ( ~ % 63.13/9.26 (v22 = 0) | ~ (v20 = 0)))) & ! [v18: $i] : ! % 63.13/9.26 [v19: $i] : ( ~ (apply(v4, v18) = v19) | ~ $i(v18) | ? % 63.13/9.26 [v20: any] : ? [v21: any] : ? [v22: any] : (in(v19, % 63.13/9.26 v0) = v22 & in(v18, v8) = v21 & in(v18, v3) = v20 & % 63.13/9.26 ( ~ (v20 = 0) | (v22 = 0 & v21 = 0)))) & ! [v18: $i] % 63.13/9.26 : ! [v19: $i] : ( ~ (apply(v4, v18) = v19) | ~ $i(v18) | % 63.13/9.26 ? [v20: any] : ? [v21: any] : ? [v22: any] : (in(v19, % 63.13/9.26 v0) = v21 & in(v18, v8) = v20 & in(v18, v3) = v22 & % 63.13/9.26 ( ~ (v21 = 0) | ~ (v20 = 0) | v22 = 0))) & ! [v18: % 63.13/9.26 $i] : ! [v19: $i] : ( ~ (apply(v4, v18) = v19) | ~ % 63.13/9.26 $i(v18) | ? [v20: any] : ? [v21: $i] : (apply(v1, v18) % 63.13/9.26 = v21 & in(v18, v3) = v20 & $i(v21) & ( ~ (v20 = 0) | % 63.13/9.26 v21 = v19))) & ! [v18: $i] : ! [v19: $i] : ( ~ % 63.13/9.26 (apply(v1, v18) = v19) | ~ $i(v18) | ? [v20: any] : ? % 63.13/9.26 [v21: $i] : (apply(v4, v18) = v21 & in(v18, v3) = v20 & % 63.13/9.26 $i(v21) & ( ~ (v20 = 0) | v21 = v19))) & ! [v18: $i] % 63.13/9.26 : ! [v19: any] : ( ~ (in(v18, v8) = v19) | ~ $i(v18) | % 63.13/9.26 ? [v20: any] : ? [v21: $i] : ? [v22: any] : (apply(v4, % 63.13/9.26 v18) = v21 & in(v21, v0) = v22 & in(v18, v3) = v20 & % 63.13/9.26 $i(v21) & ( ~ (v20 = 0) | (v22 = 0 & v19 = 0)))) & ! % 63.13/9.26 [v18: $i] : ( ~ (in(v18, v8) = 0) | ~ $i(v18) | ? [v19: % 63.13/9.26 $i] : ? [v20: any] : ? [v21: any] : (apply(v4, v18) % 63.13/9.26 = v19 & in(v19, v0) = v20 & in(v18, v3) = v21 & % 63.13/9.26 $i(v19) & ( ~ (v20 = 0) | v21 = 0))) & ! [v18: $i] : % 63.13/9.26 ( ~ (in(v18, v3) = 0) | ~ $i(v18) | ? [v19: $i] : % 63.13/9.26 (apply(v4, v18) = v19 & apply(v1, v18) = v19 & $i(v19))) % 63.13/9.26 & ! [v18: $i] : ( ~ (in(v18, v3) = 0) | ~ $i(v18) | ? % 63.13/9.26 [v19: $i] : (apply(v4, v18) = v19 & in(v19, v0) = 0 & % 63.13/9.26 in(v18, v8) = 0 & $i(v19))))) & (v5 = v1 | (v10 = 0 & % 63.13/9.26 ~ (v12 = v11) & apply(v4, v9) = v12 & apply(v1, v9) = v11 % 63.13/9.26 & in(v9, v3) = 0 & $i(v12) & $i(v11)) | (apply(v4, v13) = % 63.13/9.26 v16 & in(v16, v0) = v17 & in(v13, v8) = v15 & in(v13, v3) % 63.13/9.26 = v14 & $i(v16) & ( ~ (v17 = 0) | ~ (v15 = 0) | ~ (v14 = % 63.13/9.26 0)) & (v14 = 0 | (v17 = 0 & v15 = 0)))))))) & ! [v4: % 63.13/9.26 $i] : ( ~ (relation(v4) = 0) | ~ $i(v4) | ? [v5: any] : ? [v6: % 63.13/9.26 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? % 63.13/9.26 [v11: $i] : ? [v12: $i] : ? [v13: any] : ? [v14: any] : ? [v15: % 63.13/9.26 $i] : ? [v16: any] : (relation_dom(v4) = v7 & % 63.13/9.26 relation_rng_restriction(v0, v4) = v6 & function(v4) = v5 & % 63.13/9.26 $i(v12) & $i(v8) & $i(v7) & $i(v6) & ( ~ (v5 = 0) | (( ~ (v6 = v1) % 63.13/9.26 | ( ! [v17: $i] : ! [v18: int] : (v18 = 0 | ~ (in(v17, v3) % 63.13/9.26 = v18) | ~ $i(v17) | ? [v19: any] : ? [v20: $i] : % 63.13/9.26 ? [v21: any] : (apply(v4, v17) = v20 & in(v20, v0) = v21 % 63.13/9.26 & in(v17, v7) = v19 & $i(v20) & ( ~ (v21 = 0) | ~ % 63.13/9.26 (v19 = 0)))) & ! [v17: $i] : ! [v18: $i] : ( ~ % 63.13/9.26 (apply(v4, v17) = v18) | ~ $i(v17) | ? [v19: any] : ? % 63.13/9.26 [v20: any] : ? [v21: any] : (in(v18, v0) = v21 & % 63.13/9.26 in(v17, v7) = v20 & in(v17, v3) = v19 & ( ~ (v19 = 0) % 63.13/9.26 | (v21 = 0 & v20 = 0)))) & ! [v17: $i] : ! [v18: % 63.13/9.26 $i] : ( ~ (apply(v4, v17) = v18) | ~ $i(v17) | ? [v19: % 63.13/9.26 any] : ? [v20: any] : ? [v21: any] : (in(v18, v0) = % 63.13/9.26 v20 & in(v17, v7) = v19 & in(v17, v3) = v21 & ( ~ (v20 % 63.13/9.26 = 0) | ~ (v19 = 0) | v21 = 0))) & ! [v17: $i] : % 63.13/9.26 ! [v18: $i] : ( ~ (apply(v4, v17) = v18) | ~ $i(v17) | ? % 63.13/9.26 [v19: any] : ? [v20: $i] : (apply(v1, v17) = v20 & % 63.13/9.26 in(v17, v3) = v19 & $i(v20) & ( ~ (v19 = 0) | v20 = % 63.13/9.26 v18))) & ! [v17: $i] : ! [v18: $i] : ( ~ % 63.13/9.26 (apply(v1, v17) = v18) | ~ $i(v17) | ? [v19: any] : ? % 63.13/9.26 [v20: $i] : (apply(v4, v17) = v20 & in(v17, v3) = v19 & % 63.13/9.26 $i(v20) & ( ~ (v19 = 0) | v20 = v18))) & ! [v17: $i] % 63.13/9.26 : ! [v18: any] : ( ~ (in(v17, v7) = v18) | ~ $i(v17) | % 63.13/9.26 ? [v19: any] : ? [v20: $i] : ? [v21: any] : (apply(v4, % 63.13/9.26 v17) = v20 & in(v20, v0) = v21 & in(v17, v3) = v19 & % 63.13/9.26 $i(v20) & ( ~ (v19 = 0) | (v21 = 0 & v18 = 0)))) & ! % 63.13/9.26 [v17: $i] : ( ~ (in(v17, v7) = 0) | ~ $i(v17) | ? [v18: % 63.39/9.26 $i] : ? [v19: any] : ? [v20: any] : (apply(v4, v17) % 63.39/9.26 = v18 & in(v18, v0) = v19 & in(v17, v3) = v20 & % 63.39/9.26 $i(v18) & ( ~ (v19 = 0) | v20 = 0))) & ! [v17: $i] : % 63.39/9.26 ( ~ (in(v17, v3) = 0) | ~ $i(v17) | ? [v18: $i] : % 63.39/9.26 (apply(v4, v17) = v18 & apply(v1, v17) = v18 & $i(v18))) % 63.39/9.26 & ! [v17: $i] : ( ~ (in(v17, v3) = 0) | ~ $i(v17) | ? % 63.39/9.26 [v18: $i] : (apply(v4, v17) = v18 & in(v18, v0) = 0 & % 63.39/9.26 in(v17, v7) = 0 & $i(v18))))) & (v6 = v1 | (v9 = 0 & % 63.39/9.26 ~ (v11 = v10) & apply(v4, v8) = v11 & apply(v1, v8) = v10 % 63.39/9.26 & in(v8, v3) = 0 & $i(v11) & $i(v10)) | (apply(v4, v12) = % 63.39/9.26 v15 & in(v15, v0) = v16 & in(v12, v7) = v14 & in(v12, v3) % 63.39/9.26 = v13 & $i(v15) & ( ~ (v16 = 0) | ~ (v14 = 0) | ~ (v13 = % 63.39/9.26 0)) & (v13 = 0 | (v16 = 0 & v14 = 0)))))))) & ! [v4: % 63.39/9.26 $i] : ( ~ (function(v4) = 0) | ~ $i(v4) | ? [v5: any] : ? [v6: % 63.39/9.26 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? % 63.39/9.26 [v11: $i] : ? [v12: $i] : ? [v13: any] : ? [v14: any] : ? [v15: % 63.39/9.26 $i] : ? [v16: any] : (relation_dom(v4) = v7 & % 63.39/9.26 relation_rng_restriction(v0, v4) = v6 & relation(v4) = v5 & % 63.39/9.26 $i(v12) & $i(v8) & $i(v7) & $i(v6) & ( ~ (v5 = 0) | (( ~ (v6 = v1) % 63.39/9.26 | ( ! [v17: $i] : ! [v18: int] : (v18 = 0 | ~ (in(v17, v3) % 63.39/9.26 = v18) | ~ $i(v17) | ? [v19: any] : ? [v20: $i] : % 63.39/9.26 ? [v21: any] : (apply(v4, v17) = v20 & in(v20, v0) = v21 % 63.39/9.26 & in(v17, v7) = v19 & $i(v20) & ( ~ (v21 = 0) | ~ % 63.39/9.26 (v19 = 0)))) & ! [v17: $i] : ! [v18: $i] : ( ~ % 63.39/9.26 (apply(v4, v17) = v18) | ~ $i(v17) | ? [v19: any] : ? % 63.39/9.26 [v20: any] : ? [v21: any] : (in(v18, v0) = v21 & % 63.39/9.26 in(v17, v7) = v20 & in(v17, v3) = v19 & ( ~ (v19 = 0) % 63.39/9.26 | (v21 = 0 & v20 = 0)))) & ! [v17: $i] : ! [v18: % 63.39/9.26 $i] : ( ~ (apply(v4, v17) = v18) | ~ $i(v17) | ? [v19: % 63.39/9.26 any] : ? [v20: any] : ? [v21: any] : (in(v18, v0) = % 63.39/9.26 v20 & in(v17, v7) = v19 & in(v17, v3) = v21 & ( ~ (v20 % 63.39/9.26 = 0) | ~ (v19 = 0) | v21 = 0))) & ! [v17: $i] : % 63.39/9.26 ! [v18: $i] : ( ~ (apply(v4, v17) = v18) | ~ $i(v17) | ? % 63.39/9.26 [v19: any] : ? [v20: $i] : (apply(v1, v17) = v20 & % 63.39/9.26 in(v17, v3) = v19 & $i(v20) & ( ~ (v19 = 0) | v20 = % 63.39/9.26 v18))) & ! [v17: $i] : ! [v18: $i] : ( ~ % 63.39/9.26 (apply(v1, v17) = v18) | ~ $i(v17) | ? [v19: any] : ? % 63.39/9.26 [v20: $i] : (apply(v4, v17) = v20 & in(v17, v3) = v19 & % 63.39/9.26 $i(v20) & ( ~ (v19 = 0) | v20 = v18))) & ! [v17: $i] % 63.39/9.26 : ! [v18: any] : ( ~ (in(v17, v7) = v18) | ~ $i(v17) | % 63.39/9.26 ? [v19: any] : ? [v20: $i] : ? [v21: any] : (apply(v4, % 63.39/9.26 v17) = v20 & in(v20, v0) = v21 & in(v17, v3) = v19 & % 63.39/9.26 $i(v20) & ( ~ (v19 = 0) | (v21 = 0 & v18 = 0)))) & ! % 63.39/9.26 [v17: $i] : ( ~ (in(v17, v7) = 0) | ~ $i(v17) | ? [v18: % 63.39/9.26 $i] : ? [v19: any] : ? [v20: any] : (apply(v4, v17) % 63.39/9.26 = v18 & in(v18, v0) = v19 & in(v17, v3) = v20 & % 63.39/9.26 $i(v18) & ( ~ (v19 = 0) | v20 = 0))) & ! [v17: $i] : % 63.39/9.26 ( ~ (in(v17, v3) = 0) | ~ $i(v17) | ? [v18: $i] : % 63.39/9.26 (apply(v4, v17) = v18 & apply(v1, v17) = v18 & $i(v18))) % 63.39/9.26 & ! [v17: $i] : ( ~ (in(v17, v3) = 0) | ~ $i(v17) | ? % 63.39/9.26 [v18: $i] : (apply(v4, v17) = v18 & in(v18, v0) = 0 & % 63.39/9.26 in(v17, v7) = 0 & $i(v18))))) & (v6 = v1 | (v9 = 0 & % 63.39/9.26 ~ (v11 = v10) & apply(v4, v8) = v11 & apply(v1, v8) = v10 % 63.39/9.26 & in(v8, v3) = 0 & $i(v11) & $i(v10)) | (apply(v4, v12) = % 63.39/9.26 v15 & in(v15, v0) = v16 & in(v12, v7) = v14 & in(v12, v3) % 63.39/9.26 = v13 & $i(v15) & ( ~ (v16 = 0) | ~ (v14 = 0) | ~ (v13 = % 63.39/9.26 0)) & (v13 = 0 | (v16 = 0 & v14 = 0)))))))))))) & ? % 63.39/9.26 [v0: $i] : ! [v1: $i] : ( ~ (function(v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? % 63.39/9.26 [v2: any] : ? [v3: $i] : (relation_dom(v1) = v3 & relation(v1) = v2 & % 63.39/9.26 $i(v3) & ( ~ (v2 = 0) | ( ! [v4: $i] : ! [v5: $i] : ( ~ (relation_dom(v4) % 63.39/9.26 = v5) | ~ $i(v4) | ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? % 63.39/9.26 [v9: $i] : ? [v10: int] : ? [v11: $i] : ? [v12: $i] : ? [v13: % 63.39/9.26 $i] : ? [v14: any] : ? [v15: any] : ? [v16: $i] : ? [v17: any] % 63.39/9.26 : (relation_rng_restriction(v0, v4) = v8 & relation(v4) = v6 & % 63.39/9.26 function(v4) = v7 & $i(v13) & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ % 63.39/9.26 (v6 = 0) | (( ~ (v8 = v1) | ( ! [v18: $i] : ! [v19: int] : (v19 % 63.39/9.26 = 0 | ~ (in(v18, v3) = v19) | ~ $i(v18) | ? [v20: % 63.39/9.26 any] : ? [v21: $i] : ? [v22: any] : (apply(v4, v18) % 63.39/9.26 = v21 & in(v21, v0) = v22 & in(v18, v5) = v20 & % 63.39/9.26 $i(v21) & ( ~ (v22 = 0) | ~ (v20 = 0)))) & ! [v18: % 63.39/9.26 $i] : ! [v19: $i] : ( ~ (apply(v4, v18) = v19) | ~ % 63.39/9.26 $i(v18) | ? [v20: any] : ? [v21: any] : ? [v22: any] % 63.39/9.26 : (in(v19, v0) = v22 & in(v18, v5) = v21 & in(v18, v3) = % 63.39/9.26 v20 & ( ~ (v20 = 0) | (v22 = 0 & v21 = 0)))) & ! % 63.39/9.26 [v18: $i] : ! [v19: $i] : ( ~ (apply(v4, v18) = v19) | ~ % 63.39/9.26 $i(v18) | ? [v20: any] : ? [v21: any] : ? [v22: any] % 63.39/9.26 : (in(v19, v0) = v21 & in(v18, v5) = v20 & in(v18, v3) = % 63.39/9.26 v22 & ( ~ (v21 = 0) | ~ (v20 = 0) | v22 = 0))) & ! % 63.39/9.26 [v18: $i] : ! [v19: $i] : ( ~ (apply(v4, v18) = v19) | ~ % 63.39/9.26 $i(v18) | ? [v20: any] : ? [v21: $i] : (apply(v1, v18) % 63.39/9.26 = v21 & in(v18, v3) = v20 & $i(v21) & ( ~ (v20 = 0) | % 63.39/9.26 v21 = v19))) & ! [v18: $i] : ! [v19: $i] : ( ~ % 63.39/9.26 (apply(v1, v18) = v19) | ~ $i(v18) | ? [v20: any] : ? % 63.39/9.26 [v21: $i] : (apply(v4, v18) = v21 & in(v18, v3) = v20 & % 63.39/9.26 $i(v21) & ( ~ (v20 = 0) | v21 = v19))) & ! [v18: $i] % 63.39/9.26 : ! [v19: any] : ( ~ (in(v18, v5) = v19) | ~ $i(v18) | % 63.39/9.26 ? [v20: any] : ? [v21: $i] : ? [v22: any] : (apply(v4, % 63.39/9.26 v18) = v21 & in(v21, v0) = v22 & in(v18, v3) = v20 & % 63.39/9.26 $i(v21) & ( ~ (v20 = 0) | (v22 = 0 & v19 = 0)))) & ! % 63.39/9.26 [v18: $i] : ( ~ (in(v18, v5) = 0) | ~ $i(v18) | ? [v19: % 63.39/9.26 $i] : ? [v20: any] : ? [v21: any] : (apply(v4, v18) % 63.39/9.26 = v19 & in(v19, v0) = v20 & in(v18, v3) = v21 & % 63.39/9.26 $i(v19) & ( ~ (v20 = 0) | v21 = 0))) & ! [v18: $i] : % 63.39/9.26 ( ~ (in(v18, v3) = 0) | ~ $i(v18) | ? [v19: $i] : % 63.39/9.26 (apply(v4, v18) = v19 & apply(v1, v18) = v19 & $i(v19))) % 63.39/9.26 & ! [v18: $i] : ( ~ (in(v18, v3) = 0) | ~ $i(v18) | ? % 63.39/9.26 [v19: $i] : (apply(v4, v18) = v19 & in(v19, v0) = 0 & % 63.39/9.26 in(v18, v5) = 0 & $i(v19))))) & (v8 = v1 | (v10 = 0 & % 63.39/9.26 ~ (v12 = v11) & apply(v4, v9) = v12 & apply(v1, v9) = v11 % 63.39/9.26 & in(v9, v3) = 0 & $i(v12) & $i(v11)) | (apply(v4, v13) = % 63.39/9.26 v16 & in(v16, v0) = v17 & in(v13, v5) = v15 & in(v13, v3) % 63.39/9.26 = v14 & $i(v16) & ( ~ (v17 = 0) | ~ (v15 = 0) | ~ (v14 = % 63.39/9.26 0)) & (v14 = 0 | (v17 = 0 & v15 = 0)))))))) & ! [v4: % 63.39/9.26 $i] : ! [v5: $i] : ( ~ (relation_rng_restriction(v0, v4) = v5) | ~ % 63.39/9.26 $i(v4) | ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? [v9: $i] : % 63.39/9.26 ? [v10: int] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 63.39/9.26 any] : ? [v15: any] : ? [v16: $i] : ? [v17: any] : % 63.39/9.26 (relation_dom(v4) = v8 & relation(v4) = v6 & function(v4) = v7 & % 63.39/9.26 $i(v13) & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | (( ~ (v5 % 63.39/9.26 = v1) | ( ! [v18: $i] : ! [v19: int] : (v19 = 0 | ~ % 63.39/9.26 (in(v18, v3) = v19) | ~ $i(v18) | ? [v20: any] : ? % 63.39/9.26 [v21: $i] : ? [v22: any] : (apply(v4, v18) = v21 & % 63.39/9.26 in(v21, v0) = v22 & in(v18, v8) = v20 & $i(v21) & ( ~ % 63.39/9.26 (v22 = 0) | ~ (v20 = 0)))) & ! [v18: $i] : ! % 63.39/9.26 [v19: $i] : ( ~ (apply(v4, v18) = v19) | ~ $i(v18) | ? % 63.39/9.26 [v20: any] : ? [v21: any] : ? [v22: any] : (in(v19, % 63.39/9.26 v0) = v22 & in(v18, v8) = v21 & in(v18, v3) = v20 & % 63.39/9.26 ( ~ (v20 = 0) | (v22 = 0 & v21 = 0)))) & ! [v18: $i] % 63.39/9.26 : ! [v19: $i] : ( ~ (apply(v4, v18) = v19) | ~ $i(v18) | % 63.39/9.26 ? [v20: any] : ? [v21: any] : ? [v22: any] : (in(v19, % 63.39/9.26 v0) = v21 & in(v18, v8) = v20 & in(v18, v3) = v22 & % 63.39/9.26 ( ~ (v21 = 0) | ~ (v20 = 0) | v22 = 0))) & ! [v18: % 63.39/9.26 $i] : ! [v19: $i] : ( ~ (apply(v4, v18) = v19) | ~ % 63.39/9.26 $i(v18) | ? [v20: any] : ? [v21: $i] : (apply(v1, v18) % 63.39/9.26 = v21 & in(v18, v3) = v20 & $i(v21) & ( ~ (v20 = 0) | % 63.39/9.26 v21 = v19))) & ! [v18: $i] : ! [v19: $i] : ( ~ % 63.39/9.26 (apply(v1, v18) = v19) | ~ $i(v18) | ? [v20: any] : ? % 63.39/9.26 [v21: $i] : (apply(v4, v18) = v21 & in(v18, v3) = v20 & % 63.39/9.26 $i(v21) & ( ~ (v20 = 0) | v21 = v19))) & ! [v18: $i] % 63.39/9.26 : ! [v19: any] : ( ~ (in(v18, v8) = v19) | ~ $i(v18) | % 63.39/9.26 ? [v20: any] : ? [v21: $i] : ? [v22: any] : (apply(v4, % 63.39/9.26 v18) = v21 & in(v21, v0) = v22 & in(v18, v3) = v20 & % 63.39/9.26 $i(v21) & ( ~ (v20 = 0) | (v22 = 0 & v19 = 0)))) & ! % 63.39/9.26 [v18: $i] : ( ~ (in(v18, v8) = 0) | ~ $i(v18) | ? [v19: % 63.39/9.26 $i] : ? [v20: any] : ? [v21: any] : (apply(v4, v18) % 63.39/9.26 = v19 & in(v19, v0) = v20 & in(v18, v3) = v21 & % 63.39/9.26 $i(v19) & ( ~ (v20 = 0) | v21 = 0))) & ! [v18: $i] : % 63.39/9.26 ( ~ (in(v18, v3) = 0) | ~ $i(v18) | ? [v19: $i] : % 63.39/9.26 (apply(v4, v18) = v19 & apply(v1, v18) = v19 & $i(v19))) % 63.39/9.26 & ! [v18: $i] : ( ~ (in(v18, v3) = 0) | ~ $i(v18) | ? % 63.39/9.26 [v19: $i] : (apply(v4, v18) = v19 & in(v19, v0) = 0 & % 63.39/9.26 in(v18, v8) = 0 & $i(v19))))) & (v5 = v1 | (v10 = 0 & % 63.39/9.26 ~ (v12 = v11) & apply(v4, v9) = v12 & apply(v1, v9) = v11 % 63.39/9.26 & in(v9, v3) = 0 & $i(v12) & $i(v11)) | (apply(v4, v13) = % 63.39/9.26 v16 & in(v16, v0) = v17 & in(v13, v8) = v15 & in(v13, v3) % 63.39/9.26 = v14 & $i(v16) & ( ~ (v17 = 0) | ~ (v15 = 0) | ~ (v14 = % 63.39/9.26 0)) & (v14 = 0 | (v17 = 0 & v15 = 0)))))))) & ! [v4: % 63.39/9.26 $i] : ( ~ (relation(v4) = 0) | ~ $i(v4) | ? [v5: any] : ? [v6: % 63.39/9.26 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? % 63.39/9.26 [v11: $i] : ? [v12: $i] : ? [v13: any] : ? [v14: any] : ? [v15: % 63.39/9.26 $i] : ? [v16: any] : (relation_dom(v4) = v7 & % 63.39/9.26 relation_rng_restriction(v0, v4) = v6 & function(v4) = v5 & % 63.39/9.26 $i(v12) & $i(v8) & $i(v7) & $i(v6) & ( ~ (v5 = 0) | (( ~ (v6 = v1) % 63.39/9.26 | ( ! [v17: $i] : ! [v18: int] : (v18 = 0 | ~ (in(v17, v3) % 63.39/9.26 = v18) | ~ $i(v17) | ? [v19: any] : ? [v20: $i] : % 63.39/9.26 ? [v21: any] : (apply(v4, v17) = v20 & in(v20, v0) = v21 % 63.39/9.26 & in(v17, v7) = v19 & $i(v20) & ( ~ (v21 = 0) | ~ % 63.39/9.26 (v19 = 0)))) & ! [v17: $i] : ! [v18: $i] : ( ~ % 63.39/9.26 (apply(v4, v17) = v18) | ~ $i(v17) | ? [v19: any] : ? % 63.39/9.26 [v20: any] : ? [v21: any] : (in(v18, v0) = v21 & % 63.39/9.26 in(v17, v7) = v20 & in(v17, v3) = v19 & ( ~ (v19 = 0) % 63.39/9.26 | (v21 = 0 & v20 = 0)))) & ! [v17: $i] : ! [v18: % 63.39/9.26 $i] : ( ~ (apply(v4, v17) = v18) | ~ $i(v17) | ? [v19: % 63.39/9.26 any] : ? [v20: any] : ? [v21: any] : (in(v18, v0) = % 63.39/9.27 v20 & in(v17, v7) = v19 & in(v17, v3) = v21 & ( ~ (v20 % 63.39/9.27 = 0) | ~ (v19 = 0) | v21 = 0))) & ! [v17: $i] : % 63.39/9.27 ! [v18: $i] : ( ~ (apply(v4, v17) = v18) | ~ $i(v17) | ? % 63.39/9.27 [v19: any] : ? [v20: $i] : (apply(v1, v17) = v20 & % 63.39/9.27 in(v17, v3) = v19 & $i(v20) & ( ~ (v19 = 0) | v20 = % 63.39/9.27 v18))) & ! [v17: $i] : ! [v18: $i] : ( ~ % 63.39/9.27 (apply(v1, v17) = v18) | ~ $i(v17) | ? [v19: any] : ? % 63.39/9.27 [v20: $i] : (apply(v4, v17) = v20 & in(v17, v3) = v19 & % 63.39/9.27 $i(v20) & ( ~ (v19 = 0) | v20 = v18))) & ! [v17: $i] % 63.39/9.27 : ! [v18: any] : ( ~ (in(v17, v7) = v18) | ~ $i(v17) | % 63.39/9.27 ? [v19: any] : ? [v20: $i] : ? [v21: any] : (apply(v4, % 63.39/9.27 v17) = v20 & in(v20, v0) = v21 & in(v17, v3) = v19 & % 63.39/9.27 $i(v20) & ( ~ (v19 = 0) | (v21 = 0 & v18 = 0)))) & ! % 63.39/9.27 [v17: $i] : ( ~ (in(v17, v7) = 0) | ~ $i(v17) | ? [v18: % 63.39/9.27 $i] : ? [v19: any] : ? [v20: any] : (apply(v4, v17) % 63.39/9.27 = v18 & in(v18, v0) = v19 & in(v17, v3) = v20 & % 63.39/9.27 $i(v18) & ( ~ (v19 = 0) | v20 = 0))) & ! [v17: $i] : % 63.39/9.27 ( ~ (in(v17, v3) = 0) | ~ $i(v17) | ? [v18: $i] : % 63.39/9.27 (apply(v4, v17) = v18 & apply(v1, v17) = v18 & $i(v18))) % 63.39/9.27 & ! [v17: $i] : ( ~ (in(v17, v3) = 0) | ~ $i(v17) | ? % 63.39/9.27 [v18: $i] : (apply(v4, v17) = v18 & in(v18, v0) = 0 & % 63.39/9.27 in(v17, v7) = 0 & $i(v18))))) & (v6 = v1 | (v9 = 0 & % 63.39/9.27 ~ (v11 = v10) & apply(v4, v8) = v11 & apply(v1, v8) = v10 % 63.39/9.27 & in(v8, v3) = 0 & $i(v11) & $i(v10)) | (apply(v4, v12) = % 63.39/9.27 v15 & in(v15, v0) = v16 & in(v12, v7) = v14 & in(v12, v3) % 63.39/9.27 = v13 & $i(v15) & ( ~ (v16 = 0) | ~ (v14 = 0) | ~ (v13 = % 63.39/9.27 0)) & (v13 = 0 | (v16 = 0 & v14 = 0)))))))) & ! [v4: % 63.39/9.27 $i] : ( ~ (function(v4) = 0) | ~ $i(v4) | ? [v5: any] : ? [v6: % 63.39/9.27 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ? [v10: $i] : ? % 63.39/9.27 [v11: $i] : ? [v12: $i] : ? [v13: any] : ? [v14: any] : ? [v15: % 63.39/9.27 $i] : ? [v16: any] : (relation_dom(v4) = v7 & % 63.39/9.27 relation_rng_restriction(v0, v4) = v6 & relation(v4) = v5 & % 63.39/9.27 $i(v12) & $i(v8) & $i(v7) & $i(v6) & ( ~ (v5 = 0) | (( ~ (v6 = v1) % 63.39/9.27 | ( ! [v17: $i] : ! [v18: int] : (v18 = 0 | ~ (in(v17, v3) % 63.39/9.27 = v18) | ~ $i(v17) | ? [v19: any] : ? [v20: $i] : % 63.39/9.27 ? [v21: any] : (apply(v4, v17) = v20 & in(v20, v0) = v21 % 63.39/9.27 & in(v17, v7) = v19 & $i(v20) & ( ~ (v21 = 0) | ~ % 63.39/9.27 (v19 = 0)))) & ! [v17: $i] : ! [v18: $i] : ( ~ % 63.39/9.27 (apply(v4, v17) = v18) | ~ $i(v17) | ? [v19: any] : ? % 63.39/9.27 [v20: any] : ? [v21: any] : (in(v18, v0) = v21 & % 63.39/9.27 in(v17, v7) = v20 & in(v17, v3) = v19 & ( ~ (v19 = 0) % 63.39/9.27 | (v21 = 0 & v20 = 0)))) & ! [v17: $i] : ! [v18: % 63.39/9.27 $i] : ( ~ (apply(v4, v17) = v18) | ~ $i(v17) | ? [v19: % 63.39/9.27 any] : ? [v20: any] : ? [v21: any] : (in(v18, v0) = % 63.39/9.27 v20 & in(v17, v7) = v19 & in(v17, v3) = v21 & ( ~ (v20 % 63.39/9.27 = 0) | ~ (v19 = 0) | v21 = 0))) & ! [v17: $i] : % 63.39/9.27 ! [v18: $i] : ( ~ (apply(v4, v17) = v18) | ~ $i(v17) | ? % 63.39/9.27 [v19: any] : ? [v20: $i] : (apply(v1, v17) = v20 & % 63.39/9.27 in(v17, v3) = v19 & $i(v20) & ( ~ (v19 = 0) | v20 = % 63.39/9.27 v18))) & ! [v17: $i] : ! [v18: $i] : ( ~ % 63.39/9.27 (apply(v1, v17) = v18) | ~ $i(v17) | ? [v19: any] : ? % 63.39/9.27 [v20: $i] : (apply(v4, v17) = v20 & in(v17, v3) = v19 & % 63.39/9.27 $i(v20) & ( ~ (v19 = 0) | v20 = v18))) & ! [v17: $i] % 63.39/9.27 : ! [v18: any] : ( ~ (in(v17, v7) = v18) | ~ $i(v17) | % 63.39/9.27 ? [v19: any] : ? [v20: $i] : ? [v21: any] : (apply(v4, % 63.39/9.27 v17) = v20 & in(v20, v0) = v21 & in(v17, v3) = v19 & % 63.39/9.27 $i(v20) & ( ~ (v19 = 0) | (v21 = 0 & v18 = 0)))) & ! % 63.39/9.27 [v17: $i] : ( ~ (in(v17, v7) = 0) | ~ $i(v17) | ? [v18: % 63.39/9.27 $i] : ? [v19: any] : ? [v20: any] : (apply(v4, v17) % 63.39/9.27 = v18 & in(v18, v0) = v19 & in(v17, v3) = v20 & % 63.39/9.27 $i(v18) & ( ~ (v19 = 0) | v20 = 0))) & ! [v17: $i] : % 63.39/9.27 ( ~ (in(v17, v3) = 0) | ~ $i(v17) | ? [v18: $i] : % 63.39/9.27 (apply(v4, v17) = v18 & apply(v1, v17) = v18 & $i(v18))) % 63.39/9.27 & ! [v17: $i] : ( ~ (in(v17, v3) = 0) | ~ $i(v17) | ? % 63.39/9.27 [v18: $i] : (apply(v4, v17) = v18 & in(v18, v0) = 0 & % 63.39/9.27 in(v17, v7) = 0 & $i(v18))))) & (v6 = v1 | (v9 = 0 & % 63.39/9.27 ~ (v11 = v10) & apply(v4, v8) = v11 & apply(v1, v8) = v10 % 63.39/9.27 & in(v8, v3) = 0 & $i(v11) & $i(v10)) | (apply(v4, v12) = % 63.39/9.27 v15 & in(v15, v0) = v16 & in(v12, v7) = v14 & in(v12, v3) % 63.39/9.27 = v13 & $i(v15) & ( ~ (v16 = 0) | ~ (v14 = 0) | ~ (v13 = % 63.39/9.27 0)) & (v13 = 0 | (v16 = 0 & v14 = 0)))))))))))) % 63.39/9.27 % 63.39/9.27 (t89_funct_1) % 63.39/9.27 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 63.39/9.27 any] : ? [v6: $i] : ? [v7: $i] : ? [v8: any] : (relation_rng(v2) = v6 & % 63.39/9.27 relation_rng(v1) = v7 & relation_dom(v2) = v3 & relation_dom(v1) = v4 & % 63.39/9.27 relation_rng_restriction(v0, v1) = v2 & subset(v6, v7) = v8 & subset(v3, v4) % 63.39/9.27 = v5 & relation(v1) = 0 & function(v1) = 0 & $i(v7) & $i(v6) & $i(v4) & % 63.39/9.27 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v8 = 0) | ~ (v5 = 0))) % 63.39/9.27 % 63.39/9.27 (function-axioms) % 63.39/9.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 63.39/9.27 (apply(v3, v2) = v1) | ~ (apply(v3, v2) = v0)) & ! [v0: MultipleValueBool] % 63.39/9.27 : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 63.39/9.27 (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) & ! [v0: $i] : ! [v1: % 63.39/9.27 $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 63.39/9.27 (relation_rng_restriction(v3, v2) = v1) | ~ (relation_rng_restriction(v3, % 63.39/9.27 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 63.39/9.27 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ % 63.39/9.27 (subset(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 63.39/9.27 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) = % 63.39/9.27 v1) | ~ (in(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 63.39/9.27 (v1 = v0 | ~ (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0)) & ! [v0: % 63.39/9.27 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ % 63.39/9.27 (relation_dom(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 63.39/9.27 v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) & ! [v0: % 63.39/9.27 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 63.39/9.27 ~ (relation_empty_yielding(v2) = v1) | ~ (relation_empty_yielding(v2) = % 63.39/9.27 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 63.39/9.27 $i] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0)) & ! % 63.39/9.27 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 63.39/9.27 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) & ! [v0: % 63.39/9.27 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 63.39/9.27 ~ (function(v2) = v1) | ~ (function(v2) = v0)) & ! [v0: MultipleValueBool] % 63.39/9.27 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (empty(v2) = v1) | % 63.39/9.27 ~ (empty(v2) = v0)) % 63.39/9.27 % 63.39/9.27 Further assumptions not needed in the proof: % 63.39/9.27 -------------------------------------------- % 63.39/9.27 antisymmetry_r2_hidden, cc1_funct_1, cc1_relat_1, existence_m1_subset_1, % 63.39/9.27 fc12_relat_1, fc1_subset_1, fc1_xboole_0, fc4_relat_1, fc7_relat_1, fc8_relat_1, % 63.39/9.27 rc1_funct_1, rc1_relat_1, rc1_subset_1, rc1_xboole_0, rc2_funct_1, rc2_relat_1, % 63.39/9.27 rc2_subset_1, rc2_xboole_0, rc3_funct_1, rc3_relat_1, reflexivity_r1_tarski, % 63.39/9.27 t1_subset, t2_subset, t3_subset, t4_subset, t5_subset, t6_boole, t7_boole, % 63.39/9.27 t8_boole % 63.39/9.27 % 63.39/9.27 Those formulas are unsatisfiable: % 63.39/9.27 --------------------------------- % 63.39/9.27 % 63.39/9.27 Begin of proof % 63.39/9.28 | % 63.39/9.28 | ALPHA: (cc2_funct_1) implies: % 63.39/9.28 | (1) ! [v0: $i] : ( ~ (function(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 63.39/9.28 | [v2: any] : ? [v3: any] : (one_to_one(v0) = v3 & relation(v0) = v1 & % 63.39/9.28 | empty(v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = 0))) % 63.39/9.28 | (2) ! [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 63.39/9.28 | [v2: any] : ? [v3: any] : (one_to_one(v0) = v3 & function(v0) = v2 & % 63.39/9.28 | empty(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = 0))) % 63.39/9.28 | % 63.39/9.28 | ALPHA: (d3_tarski) implies: % 63.39/9.28 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1) % 63.39/9.28 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ % 63.39/9.28 | (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0 & $i(v3))) % 63.39/9.28 | % 63.39/9.28 | ALPHA: (fc5_relat_1) implies: % 63.39/9.28 | (4) ! [v0: $i] : ( ~ (relation(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 63.39/9.28 | [v2: $i] : ? [v3: any] : (relation_dom(v0) = v2 & empty(v2) = v3 & % 63.39/9.28 | empty(v0) = v1 & $i(v2) & ( ~ (v3 = 0) | v1 = 0))) % 63.39/9.28 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (relation_dom(v0) = v1) | ~ $i(v0) | % 63.39/9.28 | ? [v2: any] : ? [v3: any] : ? [v4: any] : (relation(v0) = v3 & % 63.39/9.28 | empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | v2 = % 63.39/9.28 | 0))) % 63.39/9.28 | % 63.39/9.28 | ALPHA: (fc6_relat_1) implies: % 63.39/9.28 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ $i(v0) | % 63.39/9.28 | ? [v2: any] : ? [v3: any] : ? [v4: any] : (relation(v0) = v3 & % 63.39/9.28 | empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | v2 = % 63.39/9.28 | 0))) % 63.39/9.28 | % 63.39/9.28 | ALPHA: (t85_funct_1) implies: % 63.39/9.29 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 63.39/9.29 | ~ (relation_dom(v1) = v2) | ~ (relation_rng_restriction(v0, v3) = % 63.39/9.29 | v4) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: % 63.39/9.29 | any] : ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : % 63.39/9.29 | ? [v11: int] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: % 63.39/9.29 | any] : ? [v16: any] : ? [v17: $i] : ? [v18: any] : ($i(v14) & % 63.39/9.29 | $i(v10) & ((relation_dom(v3) = v9 & relation(v3) = v7 & % 63.39/9.29 | function(v3) = v8 & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ % 63.39/9.29 | (v4 = v1) | ( ! [v19: $i] : ! [v20: int] : (v20 = 0 | ~ % 63.39/9.29 | (in(v19, v2) = v20) | ~ $i(v19) | ? [v21: any] : ? % 63.39/9.29 | [v22: $i] : ? [v23: any] : (apply(v3, v19) = v22 & % 63.39/9.29 | in(v22, v0) = v23 & in(v19, v9) = v21 & $i(v22) & ( % 63.39/9.29 | ~ (v23 = 0) | ~ (v21 = 0)))) & ! [v19: $i] : ! % 63.39/9.29 | [v20: $i] : ( ~ (apply(v3, v19) = v20) | ~ $i(v19) | % 63.39/9.29 | ? [v21: any] : ? [v22: any] : ? [v23: any] : % 63.39/9.29 | (in(v20, v0) = v23 & in(v19, v9) = v22 & in(v19, v2) % 63.39/9.29 | = v21 & ( ~ (v21 = 0) | (v23 = 0 & v22 = 0)))) & ! % 63.39/9.29 | [v19: $i] : ! [v20: $i] : ( ~ (apply(v3, v19) = v20) | % 63.39/9.29 | ~ $i(v19) | ? [v21: any] : ? [v22: any] : ? [v23: % 63.39/9.29 | any] : (in(v20, v0) = v22 & in(v19, v9) = v21 & % 63.39/9.29 | in(v19, v2) = v23 & ( ~ (v22 = 0) | ~ (v21 = 0) | % 63.39/9.29 | v23 = 0))) & ! [v19: $i] : ! [v20: $i] : ( ~ % 63.39/9.29 | (apply(v3, v19) = v20) | ~ $i(v19) | ? [v21: any] : % 63.39/9.29 | ? [v22: $i] : (apply(v1, v19) = v22 & in(v19, v2) = % 63.39/9.29 | v21 & $i(v22) & ( ~ (v21 = 0) | v22 = v20))) & ! % 63.39/9.29 | [v19: $i] : ! [v20: $i] : ( ~ (apply(v1, v19) = v20) | % 63.39/9.29 | ~ $i(v19) | ? [v21: any] : ? [v22: $i] : % 63.39/9.29 | (apply(v3, v19) = v22 & in(v19, v2) = v21 & $i(v22) & % 63.39/9.29 | ( ~ (v21 = 0) | v22 = v20))) & ! [v19: $i] : ! % 63.39/9.29 | [v20: any] : ( ~ (in(v19, v9) = v20) | ~ $i(v19) | ? % 63.39/9.29 | [v21: any] : ? [v22: $i] : ? [v23: any] : % 63.39/9.29 | (apply(v3, v19) = v22 & in(v22, v0) = v23 & in(v19, % 63.39/9.29 | v2) = v21 & $i(v22) & ( ~ (v21 = 0) | (v23 = 0 & % 63.39/9.29 | v20 = 0)))) & ! [v19: $i] : ( ~ (in(v19, v9) = % 63.39/9.29 | 0) | ~ $i(v19) | ? [v20: $i] : ? [v21: any] : ? % 63.39/9.29 | [v22: any] : (apply(v3, v19) = v20 & in(v20, v0) = % 63.39/9.29 | v21 & in(v19, v2) = v22 & $i(v20) & ( ~ (v21 = 0) | % 63.39/9.29 | v22 = 0))) & ! [v19: $i] : ( ~ (in(v19, v2) = 0) % 63.39/9.29 | | ~ $i(v19) | ? [v20: $i] : (apply(v3, v19) = v20 & % 63.39/9.29 | apply(v1, v19) = v20 & $i(v20))) & ! [v19: $i] : ( % 63.39/9.29 | ~ (in(v19, v2) = 0) | ~ $i(v19) | ? [v20: $i] : % 63.39/9.29 | (apply(v3, v19) = v20 & in(v20, v0) = 0 & in(v19, v9) % 63.39/9.29 | = 0 & $i(v20))))) & (v4 = v1 | (v11 = 0 & ~ (v13 = % 63.39/9.29 | v12) & apply(v3, v10) = v13 & apply(v1, v10) = v12 & % 63.39/9.29 | in(v10, v2) = 0 & $i(v13) & $i(v12)) | (apply(v3, v14) % 63.39/9.29 | = v17 & in(v17, v0) = v18 & in(v14, v9) = v16 & in(v14, % 63.39/9.29 | v2) = v15 & $i(v17) & ( ~ (v18 = 0) | ~ (v16 = 0) | % 63.39/9.29 | ~ (v15 = 0)) & (v15 = 0 | (v18 = 0 & v16 = 0))))))) | % 63.39/9.29 | (relation(v1) = v5 & function(v1) = v6 & ( ~ (v6 = 0) | ~ (v5 = % 63.39/9.29 | 0)))))) % 63.39/9.29 | % 63.39/9.29 | ALPHA: (function-axioms) implies: % 63.39/9.29 | (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 63.39/9.29 | (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0)) % 63.39/9.29 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 63.39/9.29 | (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) % 63.39/9.29 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 63.39/9.29 | (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0)) % 63.39/9.30 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 63.39/9.30 | (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0)) % 63.39/9.30 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 63.39/9.30 | : ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = % 63.39/9.30 | v0)) % 63.39/9.30 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 63.39/9.30 | : ! [v3: $i] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, % 63.39/9.30 | v2) = v0)) % 63.39/9.30 | % 63.39/9.30 | DELTA: instantiating (t89_funct_1) with fresh symbols all_46_0, all_46_1, % 63.39/9.30 | all_46_2, all_46_3, all_46_4, all_46_5, all_46_6, all_46_7, all_46_8 % 63.39/9.30 | gives: % 63.39/9.30 | (14) relation_rng(all_46_6) = all_46_2 & relation_rng(all_46_7) = all_46_1 % 63.39/9.30 | & relation_dom(all_46_6) = all_46_5 & relation_dom(all_46_7) = % 63.39/9.30 | all_46_4 & relation_rng_restriction(all_46_8, all_46_7) = all_46_6 & % 63.39/9.30 | subset(all_46_2, all_46_1) = all_46_0 & subset(all_46_5, all_46_4) = % 63.39/9.30 | all_46_3 & relation(all_46_7) = 0 & function(all_46_7) = 0 & % 63.39/9.30 | $i(all_46_1) & $i(all_46_2) & $i(all_46_4) & $i(all_46_5) & % 63.39/9.30 | $i(all_46_6) & $i(all_46_7) & $i(all_46_8) & ( ~ (all_46_0 = 0) | ~ % 63.39/9.30 | (all_46_3 = 0)) % 63.39/9.30 | % 63.39/9.30 | ALPHA: (14) implies: % 63.39/9.30 | (15) $i(all_46_8) % 63.39/9.30 | (16) $i(all_46_7) % 63.39/9.30 | (17) $i(all_46_6) % 63.39/9.30 | (18) $i(all_46_5) % 63.39/9.30 | (19) $i(all_46_4) % 63.39/9.30 | (20) function(all_46_7) = 0 % 63.39/9.30 | (21) relation(all_46_7) = 0 % 63.39/9.30 | (22) subset(all_46_5, all_46_4) = all_46_3 % 63.39/9.30 | (23) subset(all_46_2, all_46_1) = all_46_0 % 63.39/9.30 | (24) relation_rng_restriction(all_46_8, all_46_7) = all_46_6 % 63.39/9.30 | (25) relation_dom(all_46_7) = all_46_4 % 63.39/9.30 | (26) relation_dom(all_46_6) = all_46_5 % 63.39/9.30 | (27) relation_rng(all_46_7) = all_46_1 % 63.39/9.30 | (28) relation_rng(all_46_6) = all_46_2 % 63.39/9.30 | (29) ~ (all_46_0 = 0) | ~ (all_46_3 = 0) % 63.39/9.30 | % 63.39/9.30 | GROUND_INST: instantiating (1) with all_46_7, simplifying with (16), (20) % 63.39/9.30 | gives: % 63.39/9.30 | (30) ? [v0: any] : ? [v1: any] : ? [v2: any] : (one_to_one(all_46_7) = % 63.39/9.30 | v2 & relation(all_46_7) = v0 & empty(all_46_7) = v1 & ( ~ (v1 = 0) | % 63.39/9.30 | ~ (v0 = 0) | v2 = 0)) % 63.39/9.30 | % 63.39/9.30 | GROUND_INST: instantiating (4) with all_46_7, simplifying with (16), (21) % 63.39/9.30 | gives: % 63.39/9.30 | (31) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (relation_dom(all_46_7) = % 63.39/9.30 | v1 & empty(v1) = v2 & empty(all_46_7) = v0 & $i(v1) & ( ~ (v2 = 0) | % 63.39/9.30 | v0 = 0)) % 63.39/9.30 | % 63.39/9.30 | GROUND_INST: instantiating (2) with all_46_7, simplifying with (16), (21) % 63.39/9.30 | gives: % 63.39/9.30 | (32) ? [v0: any] : ? [v1: any] : ? [v2: any] : (one_to_one(all_46_7) = % 63.39/9.30 | v2 & function(all_46_7) = v1 & empty(all_46_7) = v0 & ( ~ (v1 = 0) | % 63.39/9.30 | ~ (v0 = 0) | v2 = 0)) % 63.39/9.30 | % 63.39/9.30 | GROUND_INST: instantiating (3) with all_46_5, all_46_4, all_46_3, simplifying % 63.39/9.30 | with (18), (19), (22) gives: % 63.39/9.31 | (33) all_46_3 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & in(v0, % 63.39/9.31 | all_46_4) = v1 & in(v0, all_46_5) = 0 & $i(v0)) % 63.39/9.31 | % 63.39/9.31 | GROUND_INST: instantiating (t118_relat_1) with all_46_8, all_46_7, all_46_6, % 63.39/9.31 | simplifying with (15), (16), (24) gives: % 63.39/9.31 | (34) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : % 63.39/9.31 | (relation_rng(all_46_6) = v1 & relation_rng(all_46_7) = v2 & % 63.39/9.31 | subset(v1, v2) = v3 & relation(all_46_7) = v0 & $i(v2) & $i(v1) & ( % 63.39/9.31 | ~ (v0 = 0) | v3 = 0)) % 63.39/9.31 | % 63.39/9.31 | GROUND_INST: instantiating (fc5_funct_1) with all_46_8, all_46_7, all_46_6, % 63.39/9.31 | simplifying with (15), (16), (24) gives: % 63.39/9.31 | (35) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 63.39/9.31 | (relation(all_46_6) = v2 & relation(all_46_7) = v0 & % 63.39/9.31 | function(all_46_6) = v3 & function(all_46_7) = v1 & ( ~ (v1 = 0) | % 63.39/9.31 | ~ (v0 = 0) | (v3 = 0 & v2 = 0))) % 63.39/9.31 | % 63.39/9.31 | GROUND_INST: instantiating (dt_k8_relat_1) with all_46_8, all_46_7, all_46_6, % 63.39/9.31 | simplifying with (15), (16), (24) gives: % 63.39/9.31 | (36) ? [v0: any] : ? [v1: any] : (relation(all_46_6) = v1 & % 63.39/9.31 | relation(all_46_7) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 63.39/9.31 | % 63.39/9.31 | GROUND_INST: instantiating (5) with all_46_7, all_46_4, simplifying with (16), % 63.39/9.31 | (25) gives: % 63.39/9.31 | (37) ? [v0: any] : ? [v1: any] : ? [v2: any] : (relation(all_46_7) = v1 % 63.39/9.31 | & empty(all_46_4) = v2 & empty(all_46_7) = v0 & ( ~ (v2 = 0) | ~ % 63.39/9.31 | (v1 = 0) | v0 = 0)) % 63.39/9.31 | % 63.39/9.31 | GROUND_INST: instantiating (7) with all_46_8, all_46_6, all_46_5, all_46_7, % 63.39/9.31 | all_46_6, simplifying with (15), (16), (17), (24), (26) gives: % 63.39/9.32 | (38) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 63.39/9.32 | $i] : ? [v5: $i] : ? [v6: $i] : ($i(v6) & $i(v5) & % 63.39/9.32 | ((relation_dom(all_46_7) = v4 & relation(all_46_7) = v2 & % 63.39/9.32 | function(all_46_7) = v3 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | % 63.39/9.32 | ( ! [v7: $i] : ! [v8: int] : (v8 = 0 | ~ (in(v7, all_46_5) = % 63.39/9.32 | v8) | ~ $i(v7) | ? [v9: any] : ? [v10: $i] : ? [v11: % 63.39/9.32 | any] : (apply(all_46_7, v7) = v10 & in(v10, all_46_8) = % 63.39/9.32 | v11 & in(v7, v4) = v9 & $i(v10) & ( ~ (v11 = 0) | ~ (v9 % 63.39/9.32 | = 0)))) & ! [v7: $i] : ! [v8: $i] : ( ~ % 63.39/9.32 | (apply(all_46_6, v7) = v8) | ~ $i(v7) | ? [v9: any] : ? % 63.39/9.32 | [v10: $i] : (apply(all_46_7, v7) = v10 & in(v7, all_46_5) % 63.39/9.32 | = v9 & $i(v10) & ( ~ (v9 = 0) | v10 = v8))) & ! [v7: % 63.39/9.32 | $i] : ! [v8: $i] : ( ~ (apply(all_46_7, v7) = v8) | ~ % 63.39/9.32 | $i(v7) | ? [v9: any] : ? [v10: any] : ? [v11: any] : % 63.39/9.32 | (in(v8, all_46_8) = v11 & in(v7, v4) = v10 & in(v7, % 63.39/9.32 | all_46_5) = v9 & ( ~ (v9 = 0) | (v11 = 0 & v10 = 0)))) % 63.39/9.32 | & ! [v7: $i] : ! [v8: $i] : ( ~ (apply(all_46_7, v7) = v8) % 63.39/9.32 | | ~ $i(v7) | ? [v9: any] : ? [v10: any] : ? [v11: any] % 63.39/9.32 | : (in(v8, all_46_8) = v10 & in(v7, v4) = v9 & in(v7, % 63.39/9.32 | all_46_5) = v11 & ( ~ (v10 = 0) | ~ (v9 = 0) | v11 = % 63.39/9.32 | 0))) & ! [v7: $i] : ! [v8: $i] : ( ~ % 63.39/9.32 | (apply(all_46_7, v7) = v8) | ~ $i(v7) | ? [v9: any] : ? % 63.39/9.32 | [v10: $i] : (apply(all_46_6, v7) = v10 & in(v7, all_46_5) % 63.39/9.32 | = v9 & $i(v10) & ( ~ (v9 = 0) | v10 = v8))) & ! [v7: % 63.39/9.32 | $i] : ! [v8: any] : ( ~ (in(v7, v4) = v8) | ~ $i(v7) | % 63.39/9.32 | ? [v9: any] : ? [v10: $i] : ? [v11: any] : % 63.39/9.32 | (apply(all_46_7, v7) = v10 & in(v10, all_46_8) = v11 & % 63.39/9.32 | in(v7, all_46_5) = v9 & $i(v10) & ( ~ (v9 = 0) | (v11 = % 63.39/9.32 | 0 & v8 = 0)))) & ! [v7: $i] : ( ~ (in(v7, v4) = 0) % 63.39/9.32 | | ~ $i(v7) | ? [v8: $i] : ? [v9: any] : ? [v10: any] : % 63.39/9.32 | (apply(all_46_7, v7) = v8 & in(v8, all_46_8) = v9 & in(v7, % 63.39/9.32 | all_46_5) = v10 & $i(v8) & ( ~ (v9 = 0) | v10 = 0))) & % 63.39/9.32 | ! [v7: $i] : ( ~ (in(v7, all_46_5) = 0) | ~ $i(v7) | ? % 63.39/9.32 | [v8: $i] : (apply(all_46_6, v7) = v8 & apply(all_46_7, v7) % 63.39/9.32 | = v8 & $i(v8))) & ! [v7: $i] : ( ~ (in(v7, all_46_5) = % 63.39/9.32 | 0) | ~ $i(v7) | ? [v8: $i] : (apply(all_46_7, v7) = v8 % 63.39/9.32 | & in(v8, all_46_8) = 0 & in(v7, v4) = 0 & $i(v8)))))) | % 63.39/9.32 | (relation(all_46_6) = v0 & function(all_46_6) = v1 & ( ~ (v1 = 0) % 63.39/9.32 | | ~ (v0 = 0))))) % 63.39/9.32 | % 63.39/9.32 | GROUND_INST: instantiating (5) with all_46_6, all_46_5, simplifying with (17), % 63.39/9.32 | (26) gives: % 63.39/9.32 | (39) ? [v0: any] : ? [v1: any] : ? [v2: any] : (relation(all_46_6) = v1 % 63.39/9.32 | & empty(all_46_5) = v2 & empty(all_46_6) = v0 & ( ~ (v2 = 0) | ~ % 63.39/9.32 | (v1 = 0) | v0 = 0)) % 63.39/9.32 | % 63.39/9.32 | GROUND_INST: instantiating (6) with all_46_7, all_46_1, simplifying with (16), % 63.39/9.32 | (27) gives: % 63.39/9.32 | (40) ? [v0: any] : ? [v1: any] : ? [v2: any] : (relation(all_46_7) = v1 % 63.39/9.32 | & empty(all_46_1) = v2 & empty(all_46_7) = v0 & ( ~ (v2 = 0) | ~ % 63.39/9.32 | (v1 = 0) | v0 = 0)) % 63.39/9.32 | % 63.39/9.32 | GROUND_INST: instantiating (6) with all_46_6, all_46_2, simplifying with (17), % 63.39/9.32 | (28) gives: % 63.39/9.32 | (41) ? [v0: any] : ? [v1: any] : ? [v2: any] : (relation(all_46_6) = v1 % 63.39/9.32 | & empty(all_46_2) = v2 & empty(all_46_6) = v0 & ( ~ (v2 = 0) | ~ % 63.39/9.32 | (v1 = 0) | v0 = 0)) % 63.39/9.32 | % 63.39/9.32 | DELTA: instantiating (36) with fresh symbols all_68_0, all_68_1 gives: % 63.39/9.32 | (42) relation(all_46_6) = all_68_0 & relation(all_46_7) = all_68_1 & ( ~ % 63.39/9.32 | (all_68_1 = 0) | all_68_0 = 0) % 63.39/9.32 | % 63.39/9.32 | ALPHA: (42) implies: % 63.39/9.32 | (43) relation(all_46_7) = all_68_1 % 63.39/9.32 | (44) relation(all_46_6) = all_68_0 % 63.39/9.32 | (45) ~ (all_68_1 = 0) | all_68_0 = 0 % 63.39/9.32 | % 63.39/9.32 | DELTA: instantiating (37) with fresh symbols all_88_0, all_88_1, all_88_2 % 63.39/9.32 | gives: % 63.39/9.32 | (46) relation(all_46_7) = all_88_1 & empty(all_46_4) = all_88_0 & % 63.39/9.32 | empty(all_46_7) = all_88_2 & ( ~ (all_88_0 = 0) | ~ (all_88_1 = 0) | % 63.39/9.32 | all_88_2 = 0) % 63.39/9.32 | % 63.39/9.32 | ALPHA: (46) implies: % 63.39/9.32 | (47) relation(all_46_7) = all_88_1 % 63.39/9.32 | % 63.39/9.32 | DELTA: instantiating (41) with fresh symbols all_102_0, all_102_1, all_102_2 % 63.39/9.32 | gives: % 63.39/9.32 | (48) relation(all_46_6) = all_102_1 & empty(all_46_2) = all_102_0 & % 63.39/9.32 | empty(all_46_6) = all_102_2 & ( ~ (all_102_0 = 0) | ~ (all_102_1 = 0) % 63.39/9.32 | | all_102_2 = 0) % 63.39/9.32 | % 63.39/9.32 | ALPHA: (48) implies: % 63.39/9.32 | (49) relation(all_46_6) = all_102_1 % 63.39/9.32 | % 63.39/9.32 | DELTA: instantiating (32) with fresh symbols all_106_0, all_106_1, all_106_2 % 63.39/9.32 | gives: % 63.39/9.32 | (50) one_to_one(all_46_7) = all_106_0 & function(all_46_7) = all_106_1 & % 63.39/9.32 | empty(all_46_7) = all_106_2 & ( ~ (all_106_1 = 0) | ~ (all_106_2 = 0) % 63.39/9.32 | | all_106_0 = 0) % 63.39/9.32 | % 63.39/9.32 | ALPHA: (50) implies: % 63.39/9.32 | (51) function(all_46_7) = all_106_1 % 63.39/9.32 | % 63.39/9.32 | DELTA: instantiating (31) with fresh symbols all_108_0, all_108_1, all_108_2 % 63.39/9.32 | gives: % 63.39/9.32 | (52) relation_dom(all_46_7) = all_108_1 & empty(all_108_1) = all_108_0 & % 63.39/9.32 | empty(all_46_7) = all_108_2 & $i(all_108_1) & ( ~ (all_108_0 = 0) | % 63.39/9.32 | all_108_2 = 0) % 63.39/9.32 | % 63.39/9.32 | ALPHA: (52) implies: % 63.39/9.32 | (53) relation_dom(all_46_7) = all_108_1 % 63.39/9.32 | % 63.39/9.32 | DELTA: instantiating (39) with fresh symbols all_134_0, all_134_1, all_134_2 % 63.39/9.32 | gives: % 63.39/9.33 | (54) relation(all_46_6) = all_134_1 & empty(all_46_5) = all_134_0 & % 63.39/9.33 | empty(all_46_6) = all_134_2 & ( ~ (all_134_0 = 0) | ~ (all_134_1 = 0) % 63.39/9.33 | | all_134_2 = 0) % 63.39/9.33 | % 63.39/9.33 | ALPHA: (54) implies: % 63.39/9.33 | (55) relation(all_46_6) = all_134_1 % 63.39/9.33 | % 63.39/9.33 | DELTA: instantiating (30) with fresh symbols all_150_0, all_150_1, all_150_2 % 63.39/9.33 | gives: % 63.39/9.33 | (56) one_to_one(all_46_7) = all_150_0 & relation(all_46_7) = all_150_2 & % 63.39/9.33 | empty(all_46_7) = all_150_1 & ( ~ (all_150_1 = 0) | ~ (all_150_2 = 0) % 63.39/9.33 | | all_150_0 = 0) % 63.39/9.33 | % 63.39/9.33 | ALPHA: (56) implies: % 63.39/9.33 | (57) relation(all_46_7) = all_150_2 % 63.39/9.33 | % 63.39/9.33 | DELTA: instantiating (40) with fresh symbols all_152_0, all_152_1, all_152_2 % 63.39/9.33 | gives: % 63.39/9.33 | (58) relation(all_46_7) = all_152_1 & empty(all_46_1) = all_152_0 & % 63.39/9.33 | empty(all_46_7) = all_152_2 & ( ~ (all_152_0 = 0) | ~ (all_152_1 = 0) % 63.39/9.33 | | all_152_2 = 0) % 63.39/9.33 | % 63.39/9.33 | ALPHA: (58) implies: % 63.39/9.33 | (59) relation(all_46_7) = all_152_1 % 63.39/9.33 | % 63.39/9.33 | DELTA: instantiating (35) with fresh symbols all_164_0, all_164_1, all_164_2, % 63.39/9.33 | all_164_3 gives: % 63.39/9.33 | (60) relation(all_46_6) = all_164_1 & relation(all_46_7) = all_164_3 & % 63.39/9.33 | function(all_46_6) = all_164_0 & function(all_46_7) = all_164_2 & ( ~ % 63.39/9.33 | (all_164_2 = 0) | ~ (all_164_3 = 0) | (all_164_0 = 0 & all_164_1 = % 63.39/9.33 | 0)) % 63.39/9.33 | % 63.39/9.33 | ALPHA: (60) implies: % 63.39/9.33 | (61) function(all_46_7) = all_164_2 % 63.39/9.33 | (62) function(all_46_6) = all_164_0 % 63.39/9.33 | (63) relation(all_46_7) = all_164_3 % 63.39/9.33 | (64) relation(all_46_6) = all_164_1 % 63.39/9.33 | (65) ~ (all_164_2 = 0) | ~ (all_164_3 = 0) | (all_164_0 = 0 & all_164_1 = % 63.39/9.33 | 0) % 63.39/9.33 | % 63.39/9.33 | DELTA: instantiating (34) with fresh symbols all_166_0, all_166_1, all_166_2, % 63.39/9.33 | all_166_3 gives: % 63.39/9.33 | (66) relation_rng(all_46_6) = all_166_2 & relation_rng(all_46_7) = % 63.39/9.33 | all_166_1 & subset(all_166_2, all_166_1) = all_166_0 & % 63.39/9.33 | relation(all_46_7) = all_166_3 & $i(all_166_1) & $i(all_166_2) & ( ~ % 63.39/9.33 | (all_166_3 = 0) | all_166_0 = 0) % 63.39/9.33 | % 63.39/9.33 | ALPHA: (66) implies: % 63.39/9.33 | (67) relation(all_46_7) = all_166_3 % 63.39/9.33 | (68) subset(all_166_2, all_166_1) = all_166_0 % 63.39/9.33 | (69) relation_rng(all_46_7) = all_166_1 % 63.39/9.33 | (70) relation_rng(all_46_6) = all_166_2 % 63.39/9.33 | (71) ~ (all_166_3 = 0) | all_166_0 = 0 % 63.39/9.33 | % 63.39/9.33 | DELTA: instantiating (38) with fresh symbols all_168_0, all_168_1, all_168_2, % 63.39/9.33 | all_168_3, all_168_4, all_168_5, all_168_6 gives: % 63.39/9.34 | (72) $i(all_168_0) & $i(all_168_1) & ((relation_dom(all_46_7) = all_168_2 & % 63.39/9.34 | relation(all_46_7) = all_168_4 & function(all_46_7) = all_168_3 & % 63.39/9.34 | $i(all_168_2) & ( ~ (all_168_3 = 0) | ~ (all_168_4 = 0) | ( ! % 63.39/9.34 | [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (in(v0, all_46_5) = v1) % 63.39/9.34 | | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : % 63.39/9.34 | (apply(all_46_7, v0) = v3 & in(v3, all_46_8) = v4 & in(v0, % 63.39/9.34 | all_168_2) = v2 & $i(v3) & ( ~ (v4 = 0) | ~ (v2 = 0)))) % 63.39/9.34 | & ! [v0: $i] : ! [v1: $i] : ( ~ (apply(all_46_6, v0) = v1) | % 63.39/9.34 | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : (apply(all_46_7, % 63.39/9.34 | v0) = v3 & in(v0, all_46_5) = v2 & $i(v3) & ( ~ (v2 = 0) % 63.39/9.34 | | v3 = v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 63.39/9.34 | (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? [v2: any] : ? % 63.39/9.34 | [v3: any] : ? [v4: any] : (in(v1, all_46_8) = v4 & in(v0, % 63.39/9.34 | all_168_2) = v3 & in(v0, all_46_5) = v2 & ( ~ (v2 = 0) | % 63.39/9.34 | (v4 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 63.39/9.34 | (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? [v2: any] : ? % 63.39/9.34 | [v3: any] : ? [v4: any] : (in(v1, all_46_8) = v3 & in(v0, % 63.39/9.34 | all_168_2) = v2 & in(v0, all_46_5) = v4 & ( ~ (v3 = 0) | % 63.39/9.34 | ~ (v2 = 0) | v4 = 0))) & ! [v0: $i] : ! [v1: $i] : ( % 63.39/9.34 | ~ (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? [v2: any] : ? % 63.39/9.34 | [v3: $i] : (apply(all_46_6, v0) = v3 & in(v0, all_46_5) = v2 % 63.39/9.34 | & $i(v3) & ( ~ (v2 = 0) | v3 = v1))) & ! [v0: $i] : ! % 63.39/9.34 | [v1: any] : ( ~ (in(v0, all_168_2) = v1) | ~ $i(v0) | ? [v2: % 63.39/9.34 | any] : ? [v3: $i] : ? [v4: any] : (apply(all_46_7, v0) = % 63.39/9.34 | v3 & in(v3, all_46_8) = v4 & in(v0, all_46_5) = v2 & % 63.39/9.34 | $i(v3) & ( ~ (v2 = 0) | (v4 = 0 & v1 = 0)))) & ! [v0: $i] % 63.39/9.34 | : ( ~ (in(v0, all_168_2) = 0) | ~ $i(v0) | ? [v1: $i] : ? % 63.39/9.34 | [v2: any] : ? [v3: any] : (apply(all_46_7, v0) = v1 & % 63.39/9.34 | in(v1, all_46_8) = v2 & in(v0, all_46_5) = v3 & $i(v1) & ( % 63.39/9.34 | ~ (v2 = 0) | v3 = 0))) & ! [v0: $i] : ( ~ (in(v0, % 63.39/9.34 | all_46_5) = 0) | ~ $i(v0) | ? [v1: $i] : % 63.39/9.34 | (apply(all_46_6, v0) = v1 & apply(all_46_7, v0) = v1 & % 63.39/9.34 | $i(v1))) & ! [v0: $i] : ( ~ (in(v0, all_46_5) = 0) | ~ % 63.39/9.34 | $i(v0) | ? [v1: $i] : (apply(all_46_7, v0) = v1 & in(v1, % 63.39/9.34 | all_46_8) = 0 & in(v0, all_168_2) = 0 & $i(v1)))))) | % 63.39/9.34 | (relation(all_46_6) = all_168_6 & function(all_46_6) = all_168_5 & ( % 63.39/9.34 | ~ (all_168_5 = 0) | ~ (all_168_6 = 0)))) % 63.39/9.34 | % 63.39/9.34 | ALPHA: (72) implies: % 63.39/9.34 | (73) (relation_dom(all_46_7) = all_168_2 & relation(all_46_7) = all_168_4 & % 63.39/9.34 | function(all_46_7) = all_168_3 & $i(all_168_2) & ( ~ (all_168_3 = 0) % 63.39/9.34 | | ~ (all_168_4 = 0) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 63.39/9.34 | (in(v0, all_46_5) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 63.39/9.34 | $i] : ? [v4: any] : (apply(all_46_7, v0) = v3 & in(v3, % 63.39/9.34 | all_46_8) = v4 & in(v0, all_168_2) = v2 & $i(v3) & ( ~ (v4 % 63.39/9.34 | = 0) | ~ (v2 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 63.39/9.34 | (apply(all_46_6, v0) = v1) | ~ $i(v0) | ? [v2: any] : ? % 63.39/9.34 | [v3: $i] : (apply(all_46_7, v0) = v3 & in(v0, all_46_5) = v2 & % 63.39/9.34 | $i(v3) & ( ~ (v2 = 0) | v3 = v1))) & ! [v0: $i] : ! [v1: % 63.39/9.34 | $i] : ( ~ (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? [v2: % 63.39/9.34 | any] : ? [v3: any] : ? [v4: any] : (in(v1, all_46_8) = v4 % 63.39/9.34 | & in(v0, all_168_2) = v3 & in(v0, all_46_5) = v2 & ( ~ (v2 = % 63.39/9.34 | 0) | (v4 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : % 63.39/9.34 | ( ~ (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? [v2: any] : ? % 63.39/9.34 | [v3: any] : ? [v4: any] : (in(v1, all_46_8) = v3 & in(v0, % 63.39/9.34 | all_168_2) = v2 & in(v0, all_46_5) = v4 & ( ~ (v3 = 0) | % 63.39/9.34 | ~ (v2 = 0) | v4 = 0))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 63.39/9.34 | (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? [v2: any] : ? % 63.39/9.34 | [v3: $i] : (apply(all_46_6, v0) = v3 & in(v0, all_46_5) = v2 & % 63.39/9.34 | $i(v3) & ( ~ (v2 = 0) | v3 = v1))) & ! [v0: $i] : ! [v1: % 63.39/9.34 | any] : ( ~ (in(v0, all_168_2) = v1) | ~ $i(v0) | ? [v2: any] % 63.39/9.34 | : ? [v3: $i] : ? [v4: any] : (apply(all_46_7, v0) = v3 & % 63.39/9.34 | in(v3, all_46_8) = v4 & in(v0, all_46_5) = v2 & $i(v3) & ( ~ % 63.39/9.34 | (v2 = 0) | (v4 = 0 & v1 = 0)))) & ! [v0: $i] : ( ~ % 63.39/9.34 | (in(v0, all_168_2) = 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: % 63.39/9.34 | any] : ? [v3: any] : (apply(all_46_7, v0) = v1 & in(v1, % 63.39/9.34 | all_46_8) = v2 & in(v0, all_46_5) = v3 & $i(v1) & ( ~ (v2 % 63.39/9.34 | = 0) | v3 = 0))) & ! [v0: $i] : ( ~ (in(v0, all_46_5) = % 63.39/9.34 | 0) | ~ $i(v0) | ? [v1: $i] : (apply(all_46_6, v0) = v1 & % 63.39/9.34 | apply(all_46_7, v0) = v1 & $i(v1))) & ! [v0: $i] : ( ~ % 63.39/9.34 | (in(v0, all_46_5) = 0) | ~ $i(v0) | ? [v1: $i] : % 63.39/9.34 | (apply(all_46_7, v0) = v1 & in(v1, all_46_8) = 0 & in(v0, % 63.39/9.34 | all_168_2) = 0 & $i(v1)))))) | (relation(all_46_6) = % 63.39/9.34 | all_168_6 & function(all_46_6) = all_168_5 & ( ~ (all_168_5 = 0) | % 63.39/9.34 | ~ (all_168_6 = 0))) % 63.39/9.34 | % 63.39/9.34 | GROUND_INST: instantiating (8) with 0, all_164_2, all_46_7, simplifying with % 63.39/9.34 | (20), (61) gives: % 63.39/9.34 | (74) all_164_2 = 0 % 63.39/9.34 | % 63.39/9.34 | GROUND_INST: instantiating (8) with all_106_1, all_164_2, all_46_7, % 63.39/9.34 | simplifying with (51), (61) gives: % 63.39/9.34 | (75) all_164_2 = all_106_1 % 63.39/9.34 | % 63.39/9.35 | GROUND_INST: instantiating (9) with 0, all_150_2, all_46_7, simplifying with % 63.39/9.35 | (21), (57) gives: % 63.39/9.35 | (76) all_150_2 = 0 % 63.39/9.35 | % 63.39/9.35 | GROUND_INST: instantiating (9) with all_68_1, all_150_2, all_46_7, simplifying % 63.39/9.35 | with (43), (57) gives: % 63.39/9.35 | (77) all_150_2 = all_68_1 % 63.39/9.35 | % 63.39/9.35 | GROUND_INST: instantiating (9) with all_150_2, all_152_1, all_46_7, % 63.39/9.35 | simplifying with (57), (59) gives: % 63.39/9.35 | (78) all_152_1 = all_150_2 % 63.39/9.35 | % 63.39/9.35 | GROUND_INST: instantiating (9) with all_164_3, all_166_3, all_46_7, % 63.39/9.35 | simplifying with (63), (67) gives: % 63.39/9.35 | (79) all_166_3 = all_164_3 % 63.39/9.35 | % 63.39/9.35 | GROUND_INST: instantiating (9) with all_152_1, all_166_3, all_46_7, % 63.39/9.35 | simplifying with (59), (67) gives: % 63.39/9.35 | (80) all_166_3 = all_152_1 % 63.39/9.35 | % 63.39/9.35 | GROUND_INST: instantiating (9) with all_88_1, all_166_3, all_46_7, simplifying % 63.39/9.35 | with (47), (67) gives: % 63.39/9.35 | (81) all_166_3 = all_88_1 % 63.39/9.35 | % 63.39/9.35 | GROUND_INST: instantiating (9) with all_102_1, all_134_1, all_46_6, % 63.39/9.35 | simplifying with (49), (55) gives: % 63.39/9.35 | (82) all_134_1 = all_102_1 % 63.39/9.35 | % 63.39/9.35 | GROUND_INST: instantiating (9) with all_134_1, all_164_1, all_46_6, % 63.39/9.35 | simplifying with (55), (64) gives: % 63.39/9.35 | (83) all_164_1 = all_134_1 % 63.39/9.35 | % 63.39/9.35 | GROUND_INST: instantiating (9) with all_68_0, all_164_1, all_46_6, simplifying % 63.39/9.35 | with (44), (64) gives: % 63.39/9.35 | (84) all_164_1 = all_68_0 % 63.39/9.35 | % 63.39/9.35 | GROUND_INST: instantiating (10) with all_46_4, all_108_1, all_46_7, % 63.39/9.35 | simplifying with (25), (53) gives: % 63.39/9.35 | (85) all_108_1 = all_46_4 % 63.39/9.35 | % 63.39/9.35 | GROUND_INST: instantiating (11) with all_46_1, all_166_1, all_46_7, % 63.39/9.35 | simplifying with (27), (69) gives: % 63.39/9.35 | (86) all_166_1 = all_46_1 % 63.39/9.35 | % 63.39/9.35 | GROUND_INST: instantiating (11) with all_46_2, all_166_2, all_46_6, % 63.39/9.35 | simplifying with (28), (70) gives: % 63.39/9.35 | (87) all_166_2 = all_46_2 % 63.39/9.35 | % 63.39/9.35 | COMBINE_EQS: (79), (81) imply: % 63.39/9.35 | (88) all_164_3 = all_88_1 % 63.39/9.35 | % 63.39/9.35 | COMBINE_EQS: (79), (80) imply: % 63.39/9.35 | (89) all_164_3 = all_152_1 % 63.39/9.35 | % 63.39/9.35 | COMBINE_EQS: (83), (84) imply: % 63.39/9.35 | (90) all_134_1 = all_68_0 % 63.39/9.35 | % 63.39/9.35 | SIMP: (90) implies: % 63.39/9.35 | (91) all_134_1 = all_68_0 % 63.39/9.35 | % 63.39/9.35 | COMBINE_EQS: (74), (75) imply: % 63.39/9.35 | (92) all_106_1 = 0 % 63.39/9.35 | % 63.39/9.35 | COMBINE_EQS: (88), (89) imply: % 63.39/9.35 | (93) all_152_1 = all_88_1 % 63.39/9.35 | % 63.39/9.35 | SIMP: (93) implies: % 63.39/9.35 | (94) all_152_1 = all_88_1 % 63.39/9.35 | % 63.39/9.35 | COMBINE_EQS: (78), (94) imply: % 63.39/9.35 | (95) all_150_2 = all_88_1 % 63.39/9.35 | % 63.39/9.35 | SIMP: (95) implies: % 63.39/9.35 | (96) all_150_2 = all_88_1 % 63.39/9.35 | % 63.39/9.35 | COMBINE_EQS: (77), (96) imply: % 63.39/9.35 | (97) all_88_1 = all_68_1 % 63.39/9.35 | % 63.39/9.35 | COMBINE_EQS: (76), (96) imply: % 63.39/9.35 | (98) all_88_1 = 0 % 63.39/9.35 | % 63.39/9.35 | COMBINE_EQS: (82), (91) imply: % 63.78/9.35 | (99) all_102_1 = all_68_0 % 63.78/9.35 | % 63.78/9.35 | SIMP: (99) implies: % 63.78/9.35 | (100) all_102_1 = all_68_0 % 63.78/9.35 | % 63.78/9.35 | COMBINE_EQS: (97), (98) imply: % 63.78/9.35 | (101) all_68_1 = 0 % 63.78/9.35 | % 63.78/9.35 | COMBINE_EQS: (88), (98) imply: % 63.78/9.35 | (102) all_164_3 = 0 % 63.78/9.35 | % 63.78/9.35 | COMBINE_EQS: (79), (102) imply: % 63.78/9.35 | (103) all_166_3 = 0 % 63.78/9.35 | % 63.78/9.35 | REDUCE: (68), (86), (87) imply: % 63.78/9.35 | (104) subset(all_46_2, all_46_1) = all_166_0 % 63.78/9.35 | % 63.78/9.35 | BETA: splitting (71) gives: % 63.78/9.35 | % 63.78/9.35 | Case 1: % 63.78/9.35 | | % 63.78/9.35 | | (105) ~ (all_166_3 = 0) % 63.78/9.35 | | % 63.78/9.35 | | REDUCE: (103), (105) imply: % 63.78/9.35 | | (106) $false % 63.78/9.36 | | % 63.78/9.36 | | CLOSE: (106) is inconsistent. % 63.78/9.36 | | % 63.78/9.36 | Case 2: % 63.78/9.36 | | % 63.78/9.36 | | (107) all_166_0 = 0 % 63.78/9.36 | | % 63.78/9.36 | | REDUCE: (104), (107) imply: % 63.78/9.36 | | (108) subset(all_46_2, all_46_1) = 0 % 63.78/9.36 | | % 63.78/9.36 | | BETA: splitting (45) gives: % 63.78/9.36 | | % 63.78/9.36 | | Case 1: % 63.78/9.36 | | | % 63.78/9.36 | | | (109) ~ (all_68_1 = 0) % 63.78/9.36 | | | % 63.78/9.36 | | | REDUCE: (101), (109) imply: % 63.78/9.36 | | | (110) $false % 63.78/9.36 | | | % 63.78/9.36 | | | CLOSE: (110) is inconsistent. % 63.78/9.36 | | | % 63.78/9.36 | | Case 2: % 63.78/9.36 | | | % 63.78/9.36 | | | (111) all_68_0 = 0 % 63.78/9.36 | | | % 63.78/9.36 | | | REDUCE: (44), (111) imply: % 63.78/9.36 | | | (112) relation(all_46_6) = 0 % 63.78/9.36 | | | % 63.78/9.36 | | | BETA: splitting (65) gives: % 63.78/9.36 | | | % 63.78/9.36 | | | Case 1: % 63.78/9.36 | | | | % 63.78/9.36 | | | | (113) ~ (all_164_2 = 0) % 63.78/9.36 | | | | % 63.78/9.36 | | | | REDUCE: (74), (113) imply: % 63.78/9.36 | | | | (114) $false % 63.78/9.36 | | | | % 63.78/9.36 | | | | CLOSE: (114) is inconsistent. % 63.78/9.36 | | | | % 63.78/9.36 | | | Case 2: % 63.78/9.36 | | | | % 63.78/9.36 | | | | (115) ~ (all_164_3 = 0) | (all_164_0 = 0 & all_164_1 = 0) % 63.78/9.36 | | | | % 63.78/9.36 | | | | BETA: splitting (115) gives: % 63.78/9.36 | | | | % 63.78/9.36 | | | | Case 1: % 63.78/9.36 | | | | | % 63.78/9.36 | | | | | (116) ~ (all_164_3 = 0) % 63.78/9.36 | | | | | % 63.78/9.36 | | | | | REDUCE: (102), (116) imply: % 63.78/9.36 | | | | | (117) $false % 63.78/9.36 | | | | | % 63.78/9.36 | | | | | CLOSE: (117) is inconsistent. % 63.78/9.36 | | | | | % 63.78/9.36 | | | | Case 2: % 63.78/9.36 | | | | | % 63.78/9.36 | | | | | (118) all_164_0 = 0 & all_164_1 = 0 % 63.78/9.36 | | | | | % 63.78/9.36 | | | | | ALPHA: (118) implies: % 63.78/9.36 | | | | | (119) all_164_0 = 0 % 63.78/9.36 | | | | | % 63.78/9.36 | | | | | REDUCE: (62), (119) imply: % 63.78/9.36 | | | | | (120) function(all_46_6) = 0 % 63.78/9.36 | | | | | % 63.78/9.36 | | | | | BETA: splitting (73) gives: % 63.78/9.36 | | | | | % 63.78/9.36 | | | | | Case 1: % 63.78/9.36 | | | | | | % 63.78/9.37 | | | | | | (121) relation_dom(all_46_7) = all_168_2 & relation(all_46_7) = % 63.78/9.37 | | | | | | all_168_4 & function(all_46_7) = all_168_3 & $i(all_168_2) % 63.78/9.37 | | | | | | & ( ~ (all_168_3 = 0) | ~ (all_168_4 = 0) | ( ! [v0: $i] : % 63.78/9.37 | | | | | | ! [v1: int] : (v1 = 0 | ~ (in(v0, all_46_5) = v1) | % 63.78/9.37 | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] % 63.78/9.37 | | | | | | : (apply(all_46_7, v0) = v3 & in(v3, all_46_8) = v4 & % 63.78/9.37 | | | | | | in(v0, all_168_2) = v2 & $i(v3) & ( ~ (v4 = 0) | ~ % 63.78/9.37 | | | | | | (v2 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 63.78/9.37 | | | | | | (apply(all_46_6, v0) = v1) | ~ $i(v0) | ? [v2: any] % 63.78/9.37 | | | | | | : ? [v3: $i] : (apply(all_46_7, v0) = v3 & in(v0, % 63.78/9.37 | | | | | | all_46_5) = v2 & $i(v3) & ( ~ (v2 = 0) | v3 = % 63.78/9.37 | | | | | | v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 63.78/9.37 | | | | | | (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? [v2: any] % 63.78/9.37 | | | | | | : ? [v3: any] : ? [v4: any] : (in(v1, all_46_8) = % 63.78/9.37 | | | | | | v4 & in(v0, all_168_2) = v3 & in(v0, all_46_5) = v2 % 63.78/9.37 | | | | | | & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0: $i] % 63.78/9.37 | | | | | | : ! [v1: $i] : ( ~ (apply(all_46_7, v0) = v1) | ~ % 63.78/9.37 | | | | | | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : % 63.78/9.37 | | | | | | (in(v1, all_46_8) = v3 & in(v0, all_168_2) = v2 & % 63.78/9.37 | | | | | | in(v0, all_46_5) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) % 63.78/9.37 | | | | | | | v4 = 0))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 63.78/9.37 | | | | | | (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? [v2: any] % 63.78/9.37 | | | | | | : ? [v3: $i] : (apply(all_46_6, v0) = v3 & in(v0, % 63.78/9.37 | | | | | | all_46_5) = v2 & $i(v3) & ( ~ (v2 = 0) | v3 = % 63.78/9.37 | | | | | | v1))) & ! [v0: $i] : ! [v1: any] : ( ~ (in(v0, % 63.78/9.37 | | | | | | all_168_2) = v1) | ~ $i(v0) | ? [v2: any] : ? % 63.78/9.37 | | | | | | [v3: $i] : ? [v4: any] : (apply(all_46_7, v0) = v3 & % 63.78/9.37 | | | | | | in(v3, all_46_8) = v4 & in(v0, all_46_5) = v2 & % 63.78/9.37 | | | | | | $i(v3) & ( ~ (v2 = 0) | (v4 = 0 & v1 = 0)))) & ! % 63.78/9.37 | | | | | | [v0: $i] : ( ~ (in(v0, all_168_2) = 0) | ~ $i(v0) | ? % 63.78/9.37 | | | | | | [v1: $i] : ? [v2: any] : ? [v3: any] : % 63.78/9.37 | | | | | | (apply(all_46_7, v0) = v1 & in(v1, all_46_8) = v2 & % 63.78/9.37 | | | | | | in(v0, all_46_5) = v3 & $i(v1) & ( ~ (v2 = 0) | v3 % 63.78/9.37 | | | | | | = 0))) & ! [v0: $i] : ( ~ (in(v0, all_46_5) = 0) % 63.78/9.37 | | | | | | | ~ $i(v0) | ? [v1: $i] : (apply(all_46_6, v0) = v1 % 63.78/9.37 | | | | | | & apply(all_46_7, v0) = v1 & $i(v1))) & ! [v0: $i] % 63.78/9.37 | | | | | | : ( ~ (in(v0, all_46_5) = 0) | ~ $i(v0) | ? [v1: $i] % 63.78/9.37 | | | | | | : (apply(all_46_7, v0) = v1 & in(v1, all_46_8) = 0 & % 63.78/9.37 | | | | | | in(v0, all_168_2) = 0 & $i(v1))))) % 63.78/9.37 | | | | | | % 63.78/9.37 | | | | | | ALPHA: (121) implies: % 63.78/9.37 | | | | | | (122) function(all_46_7) = all_168_3 % 63.78/9.37 | | | | | | (123) relation(all_46_7) = all_168_4 % 63.78/9.37 | | | | | | (124) relation_dom(all_46_7) = all_168_2 % 63.78/9.37 | | | | | | (125) ~ (all_168_3 = 0) | ~ (all_168_4 = 0) | ( ! [v0: $i] : ! % 63.78/9.37 | | | | | | [v1: int] : (v1 = 0 | ~ (in(v0, all_46_5) = v1) | ~ % 63.78/9.37 | | | | | | $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : % 63.78/9.37 | | | | | | (apply(all_46_7, v0) = v3 & in(v3, all_46_8) = v4 & % 63.78/9.37 | | | | | | in(v0, all_168_2) = v2 & $i(v3) & ( ~ (v4 = 0) | ~ % 63.78/9.37 | | | | | | (v2 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 63.78/9.37 | | | | | | (apply(all_46_6, v0) = v1) | ~ $i(v0) | ? [v2: any] : % 63.78/9.37 | | | | | | ? [v3: $i] : (apply(all_46_7, v0) = v3 & in(v0, % 63.78/9.38 | | | | | | all_46_5) = v2 & $i(v3) & ( ~ (v2 = 0) | v3 = v1))) % 63.78/9.38 | | | | | | & ! [v0: $i] : ! [v1: $i] : ( ~ (apply(all_46_7, v0) = % 63.78/9.38 | | | | | | v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 63.78/9.38 | | | | | | [v4: any] : (in(v1, all_46_8) = v4 & in(v0, all_168_2) % 63.78/9.38 | | | | | | = v3 & in(v0, all_46_5) = v2 & ( ~ (v2 = 0) | (v4 = 0 % 63.78/9.38 | | | | | | & v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 63.78/9.38 | | | | | | (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? [v2: any] : % 63.78/9.38 | | | | | | ? [v3: any] : ? [v4: any] : (in(v1, all_46_8) = v3 & % 63.78/9.38 | | | | | | in(v0, all_168_2) = v2 & in(v0, all_46_5) = v4 & ( ~ % 63.78/9.38 | | | | | | (v3 = 0) | ~ (v2 = 0) | v4 = 0))) & ! [v0: $i] : % 63.78/9.38 | | | | | | ! [v1: $i] : ( ~ (apply(all_46_7, v0) = v1) | ~ $i(v0) | % 63.78/9.38 | | | | | | ? [v2: any] : ? [v3: $i] : (apply(all_46_6, v0) = v3 % 63.78/9.38 | | | | | | & in(v0, all_46_5) = v2 & $i(v3) & ( ~ (v2 = 0) | v3 % 63.78/9.38 | | | | | | = v1))) & ! [v0: $i] : ! [v1: any] : ( ~ (in(v0, % 63.78/9.38 | | | | | | all_168_2) = v1) | ~ $i(v0) | ? [v2: any] : ? % 63.78/9.38 | | | | | | [v3: $i] : ? [v4: any] : (apply(all_46_7, v0) = v3 & % 63.78/9.38 | | | | | | in(v3, all_46_8) = v4 & in(v0, all_46_5) = v2 & % 63.78/9.38 | | | | | | $i(v3) & ( ~ (v2 = 0) | (v4 = 0 & v1 = 0)))) & ! % 63.78/9.38 | | | | | | [v0: $i] : ( ~ (in(v0, all_168_2) = 0) | ~ $i(v0) | ? % 63.78/9.38 | | | | | | [v1: $i] : ? [v2: any] : ? [v3: any] : % 63.78/9.38 | | | | | | (apply(all_46_7, v0) = v1 & in(v1, all_46_8) = v2 & % 63.78/9.38 | | | | | | in(v0, all_46_5) = v3 & $i(v1) & ( ~ (v2 = 0) | v3 = % 63.78/9.38 | | | | | | 0))) & ! [v0: $i] : ( ~ (in(v0, all_46_5) = 0) | % 63.78/9.38 | | | | | | ~ $i(v0) | ? [v1: $i] : (apply(all_46_6, v0) = v1 & % 63.78/9.38 | | | | | | apply(all_46_7, v0) = v1 & $i(v1))) & ! [v0: $i] : ( % 63.78/9.38 | | | | | | ~ (in(v0, all_46_5) = 0) | ~ $i(v0) | ? [v1: $i] : % 63.78/9.38 | | | | | | (apply(all_46_7, v0) = v1 & in(v1, all_46_8) = 0 & % 63.78/9.38 | | | | | | in(v0, all_168_2) = 0 & $i(v1)))) % 63.78/9.38 | | | | | | % 63.78/9.38 | | | | | | GROUND_INST: instantiating (8) with 0, all_168_3, all_46_7, % 63.78/9.38 | | | | | | simplifying with (20), (122) gives: % 63.78/9.38 | | | | | | (126) all_168_3 = 0 % 63.78/9.38 | | | | | | % 63.78/9.38 | | | | | | GROUND_INST: instantiating (9) with 0, all_168_4, all_46_7, % 63.78/9.38 | | | | | | simplifying with (21), (123) gives: % 63.78/9.38 | | | | | | (127) all_168_4 = 0 % 63.78/9.38 | | | | | | % 63.78/9.38 | | | | | | GROUND_INST: instantiating (13) with all_46_0, 0, all_46_1, % 63.78/9.38 | | | | | | all_46_2, simplifying with (23), (108) gives: % 63.78/9.38 | | | | | | (128) all_46_0 = 0 % 63.78/9.38 | | | | | | % 63.78/9.38 | | | | | | GROUND_INST: instantiating (10) with all_46_4, all_168_2, all_46_7, % 63.78/9.38 | | | | | | simplifying with (25), (124) gives: % 63.78/9.38 | | | | | | (129) all_168_2 = all_46_4 % 63.78/9.38 | | | | | | % 63.78/9.38 | | | | | | BETA: splitting (29) gives: % 63.78/9.38 | | | | | | % 63.78/9.38 | | | | | | Case 1: % 63.78/9.38 | | | | | | | % 63.78/9.38 | | | | | | | (130) ~ (all_46_0 = 0) % 63.78/9.38 | | | | | | | % 63.78/9.38 | | | | | | | REDUCE: (128), (130) imply: % 63.78/9.38 | | | | | | | (131) $false % 63.78/9.38 | | | | | | | % 63.78/9.38 | | | | | | | CLOSE: (131) is inconsistent. % 63.78/9.38 | | | | | | | % 63.78/9.38 | | | | | | Case 2: % 63.78/9.38 | | | | | | | % 63.78/9.38 | | | | | | | (132) ~ (all_46_3 = 0) % 63.78/9.38 | | | | | | | % 63.78/9.38 | | | | | | | BETA: splitting (125) gives: % 63.78/9.38 | | | | | | | % 63.78/9.38 | | | | | | | Case 1: % 63.78/9.38 | | | | | | | | % 63.78/9.38 | | | | | | | | (133) ~ (all_168_3 = 0) % 63.78/9.38 | | | | | | | | % 63.78/9.38 | | | | | | | | REDUCE: (126), (133) imply: % 63.78/9.38 | | | | | | | | (134) $false % 63.78/9.38 | | | | | | | | % 63.78/9.38 | | | | | | | | CLOSE: (134) is inconsistent. % 63.78/9.38 | | | | | | | | % 63.78/9.38 | | | | | | | Case 2: % 63.78/9.38 | | | | | | | | % 63.78/9.39 | | | | | | | | (135) ~ (all_168_4 = 0) | ( ! [v0: $i] : ! [v1: int] : (v1 % 63.78/9.39 | | | | | | | | = 0 | ~ (in(v0, all_46_5) = v1) | ~ $i(v0) | ? % 63.78/9.39 | | | | | | | | [v2: any] : ? [v3: $i] : ? [v4: any] : % 63.78/9.39 | | | | | | | | (apply(all_46_7, v0) = v3 & in(v3, all_46_8) = v4 & % 63.78/9.39 | | | | | | | | in(v0, all_168_2) = v2 & $i(v3) & ( ~ (v4 = 0) | % 63.78/9.39 | | | | | | | | ~ (v2 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 63.78/9.39 | | | | | | | | (apply(all_46_6, v0) = v1) | ~ $i(v0) | ? [v2: % 63.78/9.39 | | | | | | | | any] : ? [v3: $i] : (apply(all_46_7, v0) = v3 & % 63.78/9.39 | | | | | | | | in(v0, all_46_5) = v2 & $i(v3) & ( ~ (v2 = 0) | % 63.78/9.39 | | | | | | | | v3 = v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 63.78/9.39 | | | | | | | | (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? [v2: % 63.78/9.39 | | | | | | | | any] : ? [v3: any] : ? [v4: any] : (in(v1, % 63.78/9.39 | | | | | | | | all_46_8) = v4 & in(v0, all_168_2) = v3 & % 63.78/9.39 | | | | | | | | in(v0, all_46_5) = v2 & ( ~ (v2 = 0) | (v4 = 0 & % 63.78/9.39 | | | | | | | | v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 63.78/9.39 | | | | | | | | (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? [v2: % 63.78/9.39 | | | | | | | | any] : ? [v3: any] : ? [v4: any] : (in(v1, % 63.78/9.39 | | | | | | | | all_46_8) = v3 & in(v0, all_168_2) = v2 & % 63.78/9.39 | | | | | | | | in(v0, all_46_5) = v4 & ( ~ (v3 = 0) | ~ (v2 = % 63.78/9.39 | | | | | | | | 0) | v4 = 0))) & ! [v0: $i] : ! [v1: $i] : % 63.78/9.39 | | | | | | | | ( ~ (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? [v2: % 63.78/9.39 | | | | | | | | any] : ? [v3: $i] : (apply(all_46_6, v0) = v3 & % 63.78/9.39 | | | | | | | | in(v0, all_46_5) = v2 & $i(v3) & ( ~ (v2 = 0) | % 63.78/9.39 | | | | | | | | v3 = v1))) & ! [v0: $i] : ! [v1: any] : ( ~ % 63.78/9.39 | | | | | | | | (in(v0, all_168_2) = v1) | ~ $i(v0) | ? [v2: any] % 63.78/9.39 | | | | | | | | : ? [v3: $i] : ? [v4: any] : (apply(all_46_7, v0) % 63.78/9.39 | | | | | | | | = v3 & in(v3, all_46_8) = v4 & in(v0, all_46_5) = % 63.78/9.39 | | | | | | | | v2 & $i(v3) & ( ~ (v2 = 0) | (v4 = 0 & v1 = 0)))) % 63.78/9.39 | | | | | | | | & ! [v0: $i] : ( ~ (in(v0, all_168_2) = 0) | ~ % 63.78/9.39 | | | | | | | | $i(v0) | ? [v1: $i] : ? [v2: any] : ? [v3: any] % 63.78/9.39 | | | | | | | | : (apply(all_46_7, v0) = v1 & in(v1, all_46_8) = v2 % 63.78/9.39 | | | | | | | | & in(v0, all_46_5) = v3 & $i(v1) & ( ~ (v2 = 0) | % 63.78/9.39 | | | | | | | | v3 = 0))) & ! [v0: $i] : ( ~ (in(v0, all_46_5) % 63.78/9.39 | | | | | | | | = 0) | ~ $i(v0) | ? [v1: $i] : (apply(all_46_6, % 63.78/9.39 | | | | | | | | v0) = v1 & apply(all_46_7, v0) = v1 & $i(v1))) % 63.78/9.39 | | | | | | | | & ! [v0: $i] : ( ~ (in(v0, all_46_5) = 0) | ~ % 63.78/9.39 | | | | | | | | $i(v0) | ? [v1: $i] : (apply(all_46_7, v0) = v1 & % 63.78/9.39 | | | | | | | | in(v1, all_46_8) = 0 & in(v0, all_168_2) = 0 & % 63.78/9.39 | | | | | | | | $i(v1)))) % 63.78/9.39 | | | | | | | | % 63.78/9.39 | | | | | | | | BETA: splitting (33) gives: % 63.78/9.39 | | | | | | | | % 63.78/9.39 | | | | | | | | Case 1: % 63.78/9.39 | | | | | | | | | % 63.78/9.39 | | | | | | | | | (136) all_46_3 = 0 % 63.78/9.39 | | | | | | | | | % 63.78/9.39 | | | | | | | | | REDUCE: (132), (136) imply: % 63.93/9.39 | | | | | | | | | (137) $false % 63.93/9.39 | | | | | | | | | % 63.93/9.39 | | | | | | | | | CLOSE: (137) is inconsistent. % 63.93/9.39 | | | | | | | | | % 63.93/9.39 | | | | | | | | Case 2: % 63.93/9.39 | | | | | | | | | % 63.93/9.39 | | | | | | | | | (138) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & in(v0, % 63.93/9.39 | | | | | | | | | all_46_4) = v1 & in(v0, all_46_5) = 0 & $i(v0)) % 63.93/9.39 | | | | | | | | | % 63.93/9.39 | | | | | | | | | DELTA: instantiating (138) with fresh symbols all_277_0, % 63.93/9.39 | | | | | | | | | all_277_1 gives: % 63.93/9.39 | | | | | | | | | (139) ~ (all_277_0 = 0) & in(all_277_1, all_46_4) = % 63.93/9.39 | | | | | | | | | all_277_0 & in(all_277_1, all_46_5) = 0 & % 63.93/9.39 | | | | | | | | | $i(all_277_1) % 63.93/9.39 | | | | | | | | | % 63.93/9.39 | | | | | | | | | ALPHA: (139) implies: % 63.93/9.39 | | | | | | | | | (140) ~ (all_277_0 = 0) % 63.93/9.39 | | | | | | | | | (141) $i(all_277_1) % 63.93/9.39 | | | | | | | | | (142) in(all_277_1, all_46_5) = 0 % 63.93/9.39 | | | | | | | | | (143) in(all_277_1, all_46_4) = all_277_0 % 63.93/9.39 | | | | | | | | | % 63.93/9.39 | | | | | | | | | BETA: splitting (135) gives: % 63.93/9.39 | | | | | | | | | % 63.93/9.39 | | | | | | | | | Case 1: % 63.93/9.39 | | | | | | | | | | % 63.93/9.39 | | | | | | | | | | (144) ~ (all_168_4 = 0) % 63.93/9.39 | | | | | | | | | | % 63.93/9.39 | | | | | | | | | | REDUCE: (127), (144) imply: % 63.93/9.39 | | | | | | | | | | (145) $false % 63.93/9.39 | | | | | | | | | | % 63.93/9.39 | | | | | | | | | | CLOSE: (145) is inconsistent. % 63.93/9.39 | | | | | | | | | | % 63.93/9.39 | | | | | | | | | Case 2: % 63.93/9.39 | | | | | | | | | | % 63.93/9.40 | | | | | | | | | | (146) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (in(v0, % 63.93/9.40 | | | | | | | | | | all_46_5) = v1) | ~ $i(v0) | ? [v2: any] : % 63.93/9.40 | | | | | | | | | | ? [v3: $i] : ? [v4: any] : (apply(all_46_7, v0) % 63.93/9.40 | | | | | | | | | | = v3 & in(v3, all_46_8) = v4 & in(v0, % 63.93/9.40 | | | | | | | | | | all_168_2) = v2 & $i(v3) & ( ~ (v4 = 0) | ~ % 63.93/9.40 | | | | | | | | | | (v2 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 63.93/9.40 | | | | | | | | | | (apply(all_46_6, v0) = v1) | ~ $i(v0) | ? [v2: % 63.93/9.40 | | | | | | | | | | any] : ? [v3: $i] : (apply(all_46_7, v0) = v3 % 63.93/9.40 | | | | | | | | | | & in(v0, all_46_5) = v2 & $i(v3) & ( ~ (v2 = 0) % 63.93/9.40 | | | | | | | | | | | v3 = v1))) & ! [v0: $i] : ! [v1: $i] : ( % 63.93/9.40 | | | | | | | | | | ~ (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? % 63.93/9.40 | | | | | | | | | | [v2: any] : ? [v3: any] : ? [v4: any] : (in(v1, % 63.93/9.40 | | | | | | | | | | all_46_8) = v4 & in(v0, all_168_2) = v3 & % 63.93/9.40 | | | | | | | | | | in(v0, all_46_5) = v2 & ( ~ (v2 = 0) | (v4 = 0 % 63.93/9.40 | | | | | | | | | | & v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : % 63.93/9.40 | | | | | | | | | | ( ~ (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? % 63.93/9.40 | | | | | | | | | | [v2: any] : ? [v3: any] : ? [v4: any] : (in(v1, % 63.93/9.40 | | | | | | | | | | all_46_8) = v3 & in(v0, all_168_2) = v2 & % 63.93/9.40 | | | | | | | | | | in(v0, all_46_5) = v4 & ( ~ (v3 = 0) | ~ (v2 = % 63.93/9.40 | | | | | | | | | | 0) | v4 = 0))) & ! [v0: $i] : ! [v1: $i] % 63.93/9.40 | | | | | | | | | | : ( ~ (apply(all_46_7, v0) = v1) | ~ $i(v0) | ? % 63.93/9.40 | | | | | | | | | | [v2: any] : ? [v3: $i] : (apply(all_46_6, v0) = % 63.93/9.40 | | | | | | | | | | v3 & in(v0, all_46_5) = v2 & $i(v3) & ( ~ (v2 = % 63.93/9.40 | | | | | | | | | | 0) | v3 = v1))) & ! [v0: $i] : ! [v1: % 63.93/9.40 | | | | | | | | | | any] : ( ~ (in(v0, all_168_2) = v1) | ~ $i(v0) | % 63.93/9.40 | | | | | | | | | | ? [v2: any] : ? [v3: $i] : ? [v4: any] : % 63.93/9.40 | | | | | | | | | | (apply(all_46_7, v0) = v3 & in(v3, all_46_8) = v4 % 63.93/9.40 | | | | | | | | | | & in(v0, all_46_5) = v2 & $i(v3) & ( ~ (v2 = 0) % 63.93/9.40 | | | | | | | | | | | (v4 = 0 & v1 = 0)))) & ! [v0: $i] : ( ~ % 63.93/9.40 | | | | | | | | | | (in(v0, all_168_2) = 0) | ~ $i(v0) | ? [v1: $i] % 63.93/9.40 | | | | | | | | | | : ? [v2: any] : ? [v3: any] : (apply(all_46_7, % 63.93/9.40 | | | | | | | | | | v0) = v1 & in(v1, all_46_8) = v2 & in(v0, % 63.93/9.40 | | | | | | | | | | all_46_5) = v3 & $i(v1) & ( ~ (v2 = 0) | v3 = % 63.93/9.40 | | | | | | | | | | 0))) & ! [v0: $i] : ( ~ (in(v0, all_46_5) = % 63.93/9.40 | | | | | | | | | | 0) | ~ $i(v0) | ? [v1: $i] : (apply(all_46_6, % 63.93/9.40 | | | | | | | | | | v0) = v1 & apply(all_46_7, v0) = v1 & % 63.93/9.40 | | | | | | | | | | $i(v1))) & ! [v0: $i] : ( ~ (in(v0, all_46_5) % 63.93/9.40 | | | | | | | | | | = 0) | ~ $i(v0) | ? [v1: $i] : % 63.93/9.40 | | | | | | | | | | (apply(all_46_7, v0) = v1 & in(v1, all_46_8) = 0 % 63.93/9.40 | | | | | | | | | | & in(v0, all_168_2) = 0 & $i(v1))) % 63.93/9.40 | | | | | | | | | | % 63.93/9.40 | | | | | | | | | | ALPHA: (146) implies: % 63.93/9.40 | | | | | | | | | | (147) ! [v0: $i] : ( ~ (in(v0, all_46_5) = 0) | ~ % 63.93/9.40 | | | | | | | | | | $i(v0) | ? [v1: $i] : (apply(all_46_7, v0) = v1 % 63.93/9.40 | | | | | | | | | | & in(v1, all_46_8) = 0 & in(v0, all_168_2) = 0 % 63.93/9.40 | | | | | | | | | | & $i(v1))) % 63.93/9.40 | | | | | | | | | | % 63.93/9.40 | | | | | | | | | | GROUND_INST: instantiating (147) with all_277_1, simplifying % 63.93/9.40 | | | | | | | | | | with (141), (142) gives: % 63.93/9.40 | | | | | | | | | | (148) ? [v0: $i] : (apply(all_46_7, all_277_1) = v0 & % 63.93/9.40 | | | | | | | | | | in(v0, all_46_8) = 0 & in(all_277_1, all_168_2) = % 63.93/9.40 | | | | | | | | | | 0 & $i(v0)) % 63.93/9.40 | | | | | | | | | | % 63.93/9.40 | | | | | | | | | | DELTA: instantiating (148) with fresh symbol all_326_0 % 63.93/9.40 | | | | | | | | | | gives: % 63.93/9.40 | | | | | | | | | | (149) apply(all_46_7, all_277_1) = all_326_0 & % 63.93/9.40 | | | | | | | | | | in(all_326_0, all_46_8) = 0 & in(all_277_1, % 63.93/9.40 | | | | | | | | | | all_168_2) = 0 & $i(all_326_0) % 63.93/9.40 | | | | | | | | | | % 63.93/9.40 | | | | | | | | | | ALPHA: (149) implies: % 63.93/9.40 | | | | | | | | | | (150) in(all_277_1, all_168_2) = 0 % 63.93/9.40 | | | | | | | | | | % 63.93/9.40 | | | | | | | | | | REDUCE: (129), (150) imply: % 63.93/9.40 | | | | | | | | | | (151) in(all_277_1, all_46_4) = 0 % 63.93/9.40 | | | | | | | | | | % 63.93/9.40 | | | | | | | | | | GROUND_INST: instantiating (12) with all_277_0, 0, all_46_4, % 63.93/9.40 | | | | | | | | | | all_277_1, simplifying with (143), (151) gives: % 63.93/9.40 | | | | | | | | | | (152) all_277_0 = 0 % 63.93/9.40 | | | | | | | | | | % 63.93/9.40 | | | | | | | | | | REDUCE: (140), (152) imply: % 63.93/9.40 | | | | | | | | | | (153) $false % 63.93/9.40 | | | | | | | | | | % 63.93/9.40 | | | | | | | | | | CLOSE: (153) is inconsistent. % 63.93/9.40 | | | | | | | | | | % 63.93/9.40 | | | | | | | | | End of split % 63.93/9.40 | | | | | | | | | % 63.93/9.40 | | | | | | | | End of split % 63.93/9.40 | | | | | | | | % 63.93/9.40 | | | | | | | End of split % 63.93/9.40 | | | | | | | % 63.93/9.40 | | | | | | End of split % 63.93/9.40 | | | | | | % 63.93/9.40 | | | | | Case 2: % 63.93/9.40 | | | | | | % 63.93/9.40 | | | | | | (154) relation(all_46_6) = all_168_6 & function(all_46_6) = % 63.93/9.40 | | | | | | all_168_5 & ( ~ (all_168_5 = 0) | ~ (all_168_6 = 0)) % 63.93/9.40 | | | | | | % 63.93/9.40 | | | | | | ALPHA: (154) implies: % 63.93/9.40 | | | | | | (155) function(all_46_6) = all_168_5 % 63.93/9.40 | | | | | | (156) relation(all_46_6) = all_168_6 % 63.93/9.40 | | | | | | (157) ~ (all_168_5 = 0) | ~ (all_168_6 = 0) % 63.93/9.40 | | | | | | % 63.93/9.40 | | | | | | GROUND_INST: instantiating (8) with 0, all_168_5, all_46_6, % 63.93/9.40 | | | | | | simplifying with (120), (155) gives: % 63.93/9.40 | | | | | | (158) all_168_5 = 0 % 63.93/9.40 | | | | | | % 63.93/9.40 | | | | | | GROUND_INST: instantiating (9) with 0, all_168_6, all_46_6, % 63.93/9.40 | | | | | | simplifying with (112), (156) gives: % 63.93/9.40 | | | | | | (159) all_168_6 = 0 % 63.93/9.40 | | | | | | % 63.93/9.40 | | | | | | BETA: splitting (157) gives: % 63.93/9.40 | | | | | | % 63.93/9.40 | | | | | | Case 1: % 63.93/9.40 | | | | | | | % 63.93/9.40 | | | | | | | (160) ~ (all_168_5 = 0) % 63.93/9.40 | | | | | | | % 63.93/9.40 | | | | | | | REDUCE: (158), (160) imply: % 63.93/9.40 | | | | | | | (161) $false % 63.93/9.40 | | | | | | | % 63.93/9.40 | | | | | | | CLOSE: (161) is inconsistent. % 63.93/9.40 | | | | | | | % 63.93/9.40 | | | | | | Case 2: % 63.93/9.40 | | | | | | | % 63.93/9.40 | | | | | | | (162) ~ (all_168_6 = 0) % 63.93/9.40 | | | | | | | % 63.93/9.40 | | | | | | | REDUCE: (159), (162) imply: % 63.93/9.40 | | | | | | | (163) $false % 63.93/9.40 | | | | | | | % 63.93/9.40 | | | | | | | CLOSE: (163) is inconsistent. % 63.93/9.40 | | | | | | | % 63.93/9.40 | | | | | | End of split % 63.93/9.40 | | | | | | % 63.93/9.40 | | | | | End of split % 63.93/9.40 | | | | | % 63.93/9.40 | | | | End of split % 63.93/9.40 | | | | % 63.93/9.40 | | | End of split % 63.93/9.40 | | | % 63.93/9.40 | | End of split % 63.93/9.40 | | % 63.93/9.40 | End of split % 63.93/9.40 | % 63.93/9.40 End of proof % 63.93/9.41 % SZS output end Proof for theBenchmark % 63.93/9.41 % 63.93/9.41 8806ms %------------------------------------------------------------------------------