%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SET984+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 : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 15:27:17 EDT 2023 % Result : Theorem 10.14s 2.14s % Output : Proof 20.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET984+1 : TPTP v8.1.2. Released v3.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Sat Aug 26 11:16:29 EDT 2023 % 0.13/0.34 % CPUTime : % 0.20/0.62 ________ _____ % 0.20/0.62 ___ __ \_________(_)________________________________ % 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.62 % 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.62 (2023-06-19) % 0.20/0.62 % 0.20/0.62 (c) Philipp Rümmer, 2009-2023 % 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.62 Amanda Stjerna. % 0.20/0.62 Free software under BSD-3-Clause. % 0.20/0.62 % 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.62 % 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.63 Running up to 7 provers in parallel. % 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.12/1.04 Prover 1: Preprocessing ... % 2.12/1.04 Prover 4: Preprocessing ... % 2.12/1.09 Prover 0: Preprocessing ... % 2.12/1.09 Prover 5: Preprocessing ... % 2.12/1.09 Prover 2: Preprocessing ... % 2.12/1.09 Prover 3: Preprocessing ... % 2.12/1.09 Prover 6: Preprocessing ... % 3.44/1.28 Prover 1: Warning: ignoring some quantifiers % 4.22/1.30 Prover 3: Warning: ignoring some quantifiers % 4.27/1.31 Prover 1: Constructing countermodel ... % 4.27/1.32 Prover 3: Constructing countermodel ... % 4.27/1.32 Prover 6: Proving ... % 4.27/1.32 Prover 5: Proving ... % 4.27/1.33 Prover 4: Constructing countermodel ... % 4.27/1.33 Prover 0: Proving ... % 4.27/1.37 Prover 2: Proving ... % 4.27/1.49 Prover 3: gave up % 4.27/1.49 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.27/1.50 Prover 1: gave up % 4.27/1.50 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.18/1.52 Prover 8: Preprocessing ... % 5.18/1.53 Prover 6: gave up % 5.18/1.54 Prover 7: Preprocessing ... % 5.18/1.54 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 5.18/1.56 Prover 9: Preprocessing ... % 5.18/1.60 Prover 8: Warning: ignoring some quantifiers % 5.18/1.60 Prover 8: Constructing countermodel ... % 6.36/1.61 Prover 7: Warning: ignoring some quantifiers % 6.36/1.62 Prover 7: Constructing countermodel ... % 6.36/1.64 Prover 9: Warning: ignoring some quantifiers % 6.36/1.64 Prover 9: Constructing countermodel ... % 7.12/1.77 Prover 8: gave up % 7.12/1.78 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.12/1.79 Prover 10: Preprocessing ... % 7.82/1.82 Prover 7: gave up % 7.82/1.82 Prover 10: Warning: ignoring some quantifiers % 7.82/1.83 Prover 10: Constructing countermodel ... % 7.82/1.83 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 7.82/1.84 Prover 11: Preprocessing ... % 7.82/1.86 Prover 10: gave up % 7.82/1.86 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 7.82/1.87 Prover 12: Preprocessing ... % 8.50/1.91 Prover 11: Constructing countermodel ... % 8.50/1.95 Prover 12: Proving ... % 10.14/2.14 Prover 2: proved (1501ms) % 10.14/2.14 Prover 9: proved (606ms) % 10.14/2.14 % 10.14/2.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 10.14/2.14 % 10.14/2.14 Prover 0: stopped % 10.14/2.14 Prover 12: stopped % 10.14/2.16 % 10.14/2.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 10.14/2.16 % 10.14/2.16 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 10.14/2.16 Prover 5: stopped % 10.14/2.16 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 10.14/2.16 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 10.14/2.16 Prover 16: Preprocessing ... % 10.14/2.16 Prover 13: Preprocessing ... % 10.14/2.17 Prover 19: Preprocessing ... % 10.14/2.19 Prover 16: Warning: ignoring some quantifiers % 10.14/2.19 Prover 16: Constructing countermodel ... % 10.14/2.19 Prover 13: Warning: ignoring some quantifiers % 10.14/2.19 Prover 13: Constructing countermodel ... % 10.84/2.21 Prover 19: Warning: ignoring some quantifiers % 10.84/2.21 Prover 19: Constructing countermodel ... % 10.84/2.21 Prover 13: gave up % 10.84/2.26 Prover 19: gave up % 11.47/2.48 Prover 16: gave up % 17.69/3.40 Prover 4: Found proof (size 792) % 17.69/3.40 Prover 4: proved (2756ms) % 17.69/3.42 Prover 11: stopped % 17.90/3.42 % 17.90/3.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 17.90/3.42 % 18.82/3.80 % SZS output start Proof for theBenchmark % 18.82/3.81 Assumptions after simplification: % 18.82/3.81 --------------------------------- % 18.82/3.81 % 18.82/3.81 (commutativity_k3_xboole_0) % 18.82/3.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_intersection2(v1, v0) = v2) % 18.82/3.83 | ~ $i(v1) | ~ $i(v0) | (set_intersection2(v0, v1) = v2 & $i(v2))) & ! % 18.82/3.83 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_intersection2(v0, v1) = v2) | % 18.82/3.83 ~ $i(v1) | ~ $i(v0) | (set_intersection2(v1, v0) = v2 & $i(v2))) % 18.82/3.83 % 18.82/3.83 (idempotence_k3_xboole_0) % 18.82/3.84 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1) | % 18.82/3.84 ~ $i(v0)) % 18.82/3.84 % 18.82/3.84 (t113_zfmisc_1) % 18.82/3.84 $i(empty_set) & ! [v0: $i] : ! [v1: $i] : (v1 = empty_set | v0 = empty_set | % 18.82/3.84 ~ (cartesian_product2(v0, v1) = empty_set) | ~ $i(v1) | ~ $i(v0)) & ! % 18.82/3.84 [v0: $i] : ! [v1: $i] : (v1 = empty_set | ~ (cartesian_product2(v0, % 18.82/3.84 empty_set) = v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : (v1 = % 18.82/3.84 empty_set | ~ (cartesian_product2(empty_set, v0) = v1) | ~ $i(v0)) % 18.82/3.84 % 18.82/3.84 (t123_zfmisc_1) % 18.82/3.84 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 18.82/3.85 $i] : ! [v6: $i] : ( ~ (cartesian_product2(v4, v5) = v6) | ~ % 18.82/3.85 (set_intersection2(v2, v3) = v5) | ~ (set_intersection2(v0, v1) = v4) | ~ % 18.82/3.85 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: $i] : ? [v8: $i] : % 18.82/3.85 (cartesian_product2(v1, v3) = v8 & cartesian_product2(v0, v2) = v7 & % 18.82/3.85 set_intersection2(v7, v8) = v6 & $i(v8) & $i(v7) & $i(v6))) & ! [v0: $i] % 18.82/3.85 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! % 18.82/3.85 [v6: $i] : ( ~ (cartesian_product2(v1, v3) = v5) | ~ (cartesian_product2(v0, % 18.82/3.85 v2) = v4) | ~ (set_intersection2(v4, v5) = v6) | ~ $i(v3) | ~ $i(v2) % 18.82/3.85 | ~ $i(v1) | ~ $i(v0) | ? [v7: $i] : ? [v8: $i] : % 18.82/3.85 (cartesian_product2(v7, v8) = v6 & set_intersection2(v2, v3) = v8 & % 18.82/3.85 set_intersection2(v0, v1) = v7 & $i(v8) & $i(v7) & $i(v6))) % 18.82/3.85 % 18.82/3.85 (t134_zfmisc_1) % 18.82/3.85 $i(empty_set) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 18.82/3.85 [v4: $i] : (v3 = v1 | v1 = empty_set | v0 = empty_set | ~ % 18.82/3.85 (cartesian_product2(v2, v3) = v4) | ~ (cartesian_product2(v0, v1) = v4) | % 18.82/3.85 ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : % 18.82/3.85 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | v1 = empty_set | v0 = % 18.82/3.85 empty_set | ~ (cartesian_product2(v2, v3) = v4) | ~ % 18.82/3.85 (cartesian_product2(v0, v1) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 18.82/3.85 $i(v0)) % 18.82/3.85 % 18.82/3.85 (t138_zfmisc_1) % 18.82/3.85 $i(empty_set) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? % 18.82/3.85 [v4: $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ( ~ (v4 = empty_set) & % 18.82/3.85 cartesian_product2(v2, v3) = v5 & cartesian_product2(v0, v1) = v4 & % 18.82/3.85 subset(v4, v5) = 0 & subset(v1, v3) = v7 & subset(v0, v2) = v6 & $i(v5) & % 18.82/3.85 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v7 = 0) | ~ (v6 = 0))) % 18.82/3.85 % 18.82/3.85 (t17_xboole_1) % 18.82/3.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_intersection2(v0, v1) = v2) % 18.82/3.86 | ~ $i(v1) | ~ $i(v0) | subset(v2, v0) = 0) % 18.82/3.86 % 18.82/3.86 (t28_xboole_1) % 18.82/3.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ (set_intersection2(v0, % 18.82/3.86 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & % 18.82/3.86 subset(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ (subset(v0, v1) = % 18.82/3.86 0) | ~ $i(v1) | ~ $i(v0) | set_intersection2(v0, v1) = v0) % 18.82/3.86 % 18.82/3.86 (function-axioms) % 18.82/3.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 18.82/3.86 (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0)) & % 18.82/3.86 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 18.82/3.86 $i] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! % 18.82/3.86 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 18.82/3.86 (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) & ! % 18.82/3.86 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 18.82/3.86 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) % 18.82/3.86 % 18.82/3.86 Further assumptions not needed in the proof: % 18.82/3.86 -------------------------------------------- % 18.82/3.86 fc1_xboole_0, rc1_xboole_0, rc2_xboole_0, reflexivity_r1_tarski % 18.82/3.86 % 18.82/3.86 Those formulas are unsatisfiable: % 18.82/3.86 --------------------------------- % 18.82/3.86 % 18.82/3.86 Begin of proof % 18.82/3.87 | % 18.82/3.87 | ALPHA: (commutativity_k3_xboole_0) implies: % 18.82/3.87 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_intersection2(v1, % 18.82/3.87 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | (set_intersection2(v0, v1) = % 18.82/3.87 | v2 & $i(v2))) % 18.82/3.87 | % 18.82/3.87 | ALPHA: (t113_zfmisc_1) implies: % 18.82/3.87 | (2) ! [v0: $i] : ! [v1: $i] : (v1 = empty_set | ~ % 18.82/3.87 | (cartesian_product2(empty_set, v0) = v1) | ~ $i(v0)) % 18.82/3.87 | (3) ! [v0: $i] : ! [v1: $i] : (v1 = empty_set | ~ % 18.82/3.87 | (cartesian_product2(v0, empty_set) = v1) | ~ $i(v0)) % 18.82/3.87 | % 18.82/3.87 | ALPHA: (t123_zfmisc_1) implies: % 18.82/3.87 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 18.82/3.87 | ! [v5: $i] : ! [v6: $i] : ( ~ (cartesian_product2(v1, v3) = v5) | ~ % 18.82/3.87 | (cartesian_product2(v0, v2) = v4) | ~ (set_intersection2(v4, v5) = % 18.82/3.87 | v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: $i] : % 18.82/3.87 | ? [v8: $i] : (cartesian_product2(v7, v8) = v6 & % 18.82/3.87 | set_intersection2(v2, v3) = v8 & set_intersection2(v0, v1) = v7 & % 18.82/3.87 | $i(v8) & $i(v7) & $i(v6))) % 18.82/3.88 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 18.82/3.88 | ! [v5: $i] : ! [v6: $i] : ( ~ (cartesian_product2(v4, v5) = v6) | ~ % 18.82/3.88 | (set_intersection2(v2, v3) = v5) | ~ (set_intersection2(v0, v1) = % 18.82/3.88 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: $i] : % 18.82/3.88 | ? [v8: $i] : (cartesian_product2(v1, v3) = v8 & % 18.82/3.88 | cartesian_product2(v0, v2) = v7 & set_intersection2(v7, v8) = v6 & % 18.82/3.88 | $i(v8) & $i(v7) & $i(v6))) % 18.82/3.88 | % 18.82/3.88 | ALPHA: (t134_zfmisc_1) implies: % 19.01/3.88 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 19.01/3.88 | (v2 = v0 | v1 = empty_set | v0 = empty_set | ~ (cartesian_product2(v2, % 19.01/3.88 | v3) = v4) | ~ (cartesian_product2(v0, v1) = v4) | ~ $i(v3) | ~ % 19.01/3.88 | $i(v2) | ~ $i(v1) | ~ $i(v0)) % 19.01/3.88 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 19.01/3.88 | (v3 = v1 | v1 = empty_set | v0 = empty_set | ~ (cartesian_product2(v2, % 19.01/3.88 | v3) = v4) | ~ (cartesian_product2(v0, v1) = v4) | ~ $i(v3) | ~ % 19.01/3.88 | $i(v2) | ~ $i(v1) | ~ $i(v0)) % 19.01/3.88 | % 19.01/3.88 | ALPHA: (t28_xboole_1) implies: % 19.01/3.88 | (8) ! [v0: $i] : ! [v1: $i] : ( ~ (subset(v0, v1) = 0) | ~ $i(v1) | ~ % 19.01/3.88 | $i(v0) | set_intersection2(v0, v1) = v0) % 19.01/3.88 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ % 19.01/3.88 | (set_intersection2(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: % 19.01/3.88 | int] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) % 19.01/3.88 | % 19.01/3.88 | ALPHA: (t138_zfmisc_1) implies: % 19.01/3.89 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 19.01/3.89 | ? [v5: $i] : ? [v6: any] : ? [v7: any] : ( ~ (v4 = empty_set) & % 19.01/3.89 | cartesian_product2(v2, v3) = v5 & cartesian_product2(v0, v1) = v4 & % 19.01/3.89 | subset(v4, v5) = 0 & subset(v1, v3) = v7 & subset(v0, v2) = v6 & % 19.01/3.89 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v7 = 0) | % 19.01/3.89 | ~ (v6 = 0))) % 19.01/3.89 | % 19.01/3.89 | ALPHA: (function-axioms) implies: % 19.01/3.89 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 19.01/3.89 | (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = % 19.01/3.89 | v0)) % 19.01/3.89 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 19.01/3.89 | : ! [v3: $i] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, % 19.01/3.89 | v2) = v0)) % 19.01/3.89 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 19.01/3.89 | (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = % 19.01/3.89 | v0)) % 19.01/3.89 | % 19.01/3.89 | DELTA: instantiating (10) with fresh symbols all_16_0, all_16_1, all_16_2, % 19.01/3.89 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7 gives: % 19.01/3.89 | (14) ~ (all_16_3 = empty_set) & cartesian_product2(all_16_5, all_16_4) = % 19.01/3.89 | all_16_2 & cartesian_product2(all_16_7, all_16_6) = all_16_3 & % 19.01/3.89 | subset(all_16_3, all_16_2) = 0 & subset(all_16_6, all_16_4) = all_16_0 % 19.01/3.89 | & subset(all_16_7, all_16_5) = all_16_1 & $i(all_16_2) & $i(all_16_3) % 19.01/3.89 | & $i(all_16_4) & $i(all_16_5) & $i(all_16_6) & $i(all_16_7) & ( ~ % 19.01/3.89 | (all_16_0 = 0) | ~ (all_16_1 = 0)) % 19.01/3.89 | % 19.01/3.89 | ALPHA: (14) implies: % 19.01/3.89 | (15) ~ (all_16_3 = empty_set) % 19.01/3.89 | (16) $i(all_16_7) % 19.01/3.89 | (17) $i(all_16_6) % 19.01/3.89 | (18) $i(all_16_5) % 19.01/3.89 | (19) $i(all_16_4) % 19.01/3.89 | (20) $i(all_16_3) % 19.01/3.89 | (21) $i(all_16_2) % 19.01/3.89 | (22) subset(all_16_7, all_16_5) = all_16_1 % 19.01/3.89 | (23) subset(all_16_6, all_16_4) = all_16_0 % 19.01/3.89 | (24) subset(all_16_3, all_16_2) = 0 % 19.01/3.89 | (25) cartesian_product2(all_16_7, all_16_6) = all_16_3 % 19.01/3.89 | (26) cartesian_product2(all_16_5, all_16_4) = all_16_2 % 19.01/3.89 | (27) ~ (all_16_0 = 0) | ~ (all_16_1 = 0) % 19.01/3.89 | % 19.01/3.90 | GROUND_INST: instantiating (8) with all_16_3, all_16_2, simplifying with (20), % 19.01/3.90 | (21), (24) gives: % 19.01/3.90 | (28) set_intersection2(all_16_3, all_16_2) = all_16_3 % 19.01/3.90 | % 19.01/3.90 | GROUND_INST: instantiating (4) with all_16_7, all_16_5, all_16_6, all_16_4, % 19.01/3.90 | all_16_3, all_16_2, all_16_3, simplifying with (16), (17), (18), % 19.01/3.90 | (19), (25), (26), (28) gives: % 19.01/3.90 | (29) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.01/3.90 | set_intersection2(all_16_6, all_16_4) = v1 & % 19.01/3.90 | set_intersection2(all_16_7, all_16_5) = v0 & $i(v1) & $i(v0) & % 19.01/3.90 | $i(all_16_3)) % 19.01/3.90 | % 19.52/3.90 | GROUND_INST: instantiating (1) with all_16_2, all_16_3, all_16_3, simplifying % 19.52/3.90 | with (20), (21), (28) gives: % 19.52/3.90 | (30) set_intersection2(all_16_2, all_16_3) = all_16_3 % 19.52/3.90 | % 19.52/3.90 | GROUND_INST: instantiating (t17_xboole_1) with all_16_3, all_16_2, all_16_3, % 19.52/3.90 | simplifying with (20), (21), (28) gives: % 19.52/3.90 | (31) subset(all_16_3, all_16_3) = 0 % 19.52/3.90 | % 19.52/3.90 | DELTA: instantiating (29) with fresh symbols all_30_0, all_30_1 gives: % 19.52/3.90 | (32) cartesian_product2(all_30_1, all_30_0) = all_16_3 & % 19.52/3.90 | set_intersection2(all_16_6, all_16_4) = all_30_0 & % 19.52/3.90 | set_intersection2(all_16_7, all_16_5) = all_30_1 & $i(all_30_0) & % 19.52/3.90 | $i(all_30_1) & $i(all_16_3) % 19.52/3.90 | % 19.52/3.90 | ALPHA: (32) implies: % 19.52/3.90 | (33) set_intersection2(all_16_7, all_16_5) = all_30_1 % 19.52/3.90 | (34) set_intersection2(all_16_6, all_16_4) = all_30_0 % 19.52/3.90 | (35) cartesian_product2(all_30_1, all_30_0) = all_16_3 % 19.52/3.90 | % 19.52/3.90 | GROUND_INST: instantiating (9) with all_16_7, all_16_5, all_30_1, simplifying % 19.52/3.90 | with (16), (18), (33) gives: % 19.52/3.90 | (36) all_30_1 = all_16_7 | ? [v0: int] : ( ~ (v0 = 0) & subset(all_16_7, % 19.52/3.90 | all_16_5) = v0) % 19.52/3.90 | % 19.52/3.90 | GROUND_INST: instantiating (1) with all_16_5, all_16_7, all_30_1, simplifying % 19.52/3.90 | with (16), (18), (33) gives: % 19.52/3.90 | (37) set_intersection2(all_16_5, all_16_7) = all_30_1 & $i(all_30_1) % 19.52/3.90 | % 19.52/3.90 | ALPHA: (37) implies: % 19.52/3.90 | (38) $i(all_30_1) % 19.52/3.90 | (39) set_intersection2(all_16_5, all_16_7) = all_30_1 % 19.52/3.90 | % 19.52/3.90 | GROUND_INST: instantiating (t17_xboole_1) with all_16_7, all_16_5, all_30_1, % 19.52/3.90 | simplifying with (16), (18), (33) gives: % 19.52/3.90 | (40) subset(all_30_1, all_16_7) = 0 % 19.52/3.90 | % 19.52/3.90 | GROUND_INST: instantiating (9) with all_16_6, all_16_4, all_30_0, simplifying % 19.52/3.90 | with (17), (19), (34) gives: % 19.52/3.90 | (41) all_30_0 = all_16_6 | ? [v0: int] : ( ~ (v0 = 0) & subset(all_16_6, % 19.52/3.90 | all_16_4) = v0) % 19.52/3.90 | % 19.52/3.90 | GROUND_INST: instantiating (1) with all_16_4, all_16_6, all_30_0, simplifying % 19.52/3.90 | with (17), (19), (34) gives: % 19.52/3.90 | (42) set_intersection2(all_16_4, all_16_6) = all_30_0 & $i(all_30_0) % 19.52/3.90 | % 19.52/3.90 | ALPHA: (42) implies: % 19.52/3.90 | (43) $i(all_30_0) % 19.52/3.90 | (44) set_intersection2(all_16_4, all_16_6) = all_30_0 % 19.52/3.90 | % 19.52/3.91 | GROUND_INST: instantiating (t17_xboole_1) with all_16_6, all_16_4, all_30_0, % 19.52/3.91 | simplifying with (17), (19), (34) gives: % 19.52/3.91 | (45) subset(all_30_0, all_16_6) = 0 % 19.52/3.91 | % 19.52/3.91 | GROUND_INST: instantiating (4) with all_16_5, all_16_7, all_16_4, all_16_6, % 19.52/3.91 | all_16_2, all_16_3, all_16_3, simplifying with (16), (17), (18), % 19.52/3.91 | (19), (25), (26), (30) gives: % 19.52/3.91 | (46) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.91 | set_intersection2(all_16_4, all_16_6) = v1 & % 19.52/3.91 | set_intersection2(all_16_5, all_16_7) = v0 & $i(v1) & $i(v0) & % 19.52/3.91 | $i(all_16_3)) % 19.52/3.91 | % 19.52/3.91 | GROUND_INST: instantiating (8) with all_16_3, all_16_3, simplifying with (20), % 19.52/3.91 | (31) gives: % 19.52/3.91 | (47) set_intersection2(all_16_3, all_16_3) = all_16_3 % 19.52/3.91 | % 19.52/3.91 | GROUND_INST: instantiating (4) with all_30_1, all_16_5, all_30_0, all_16_4, % 19.52/3.91 | all_16_3, all_16_2, all_16_3, simplifying with (18), (19), (26), % 19.52/3.91 | (28), (35), (38), (43) gives: % 19.52/3.91 | (48) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.91 | set_intersection2(all_30_0, all_16_4) = v1 & % 19.52/3.91 | set_intersection2(all_30_1, all_16_5) = v0 & $i(v1) & $i(v0) & % 19.52/3.91 | $i(all_16_3)) % 19.52/3.91 | % 19.52/3.91 | GROUND_INST: instantiating (4) with all_16_5, all_30_1, all_16_4, all_30_0, % 19.52/3.91 | all_16_2, all_16_3, all_16_3, simplifying with (18), (19), (26), % 19.52/3.91 | (30), (35), (38), (43) gives: % 19.52/3.91 | (49) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.91 | set_intersection2(all_16_4, all_30_0) = v1 & % 19.52/3.91 | set_intersection2(all_16_5, all_30_1) = v0 & $i(v1) & $i(v0) & % 19.52/3.91 | $i(all_16_3)) % 19.52/3.91 | % 19.52/3.91 | GROUND_INST: instantiating (7) with all_30_1, all_30_0, all_16_7, all_16_6, % 19.52/3.91 | all_16_3, simplifying with (16), (17), (25), (35), (38), (43) % 19.52/3.91 | gives: % 19.52/3.91 | (50) all_30_0 = all_16_6 | all_30_0 = empty_set | all_30_1 = empty_set % 19.52/3.91 | % 19.52/3.91 | GROUND_INST: instantiating (6) with all_16_7, all_16_6, all_30_1, all_30_0, % 19.52/3.91 | all_16_3, simplifying with (16), (17), (25), (35), (38), (43) % 19.52/3.91 | gives: % 19.52/3.91 | (51) all_30_1 = all_16_7 | all_16_6 = empty_set | all_16_7 = empty_set % 19.52/3.91 | % 19.52/3.91 | GROUND_INST: instantiating (6) with all_30_1, all_30_0, all_16_7, all_16_6, % 19.52/3.91 | all_16_3, simplifying with (16), (17), (25), (35), (38), (43) % 19.52/3.91 | gives: % 19.52/3.91 | (52) all_30_0 = empty_set | all_30_1 = all_16_7 | all_30_1 = empty_set % 19.52/3.91 | % 19.52/3.91 | DELTA: instantiating (46) with fresh symbols all_38_0, all_38_1 gives: % 19.52/3.92 | (53) cartesian_product2(all_38_1, all_38_0) = all_16_3 & % 19.52/3.92 | set_intersection2(all_16_4, all_16_6) = all_38_0 & % 19.52/3.92 | set_intersection2(all_16_5, all_16_7) = all_38_1 & $i(all_38_0) & % 19.52/3.92 | $i(all_38_1) & $i(all_16_3) % 19.52/3.92 | % 19.52/3.92 | ALPHA: (53) implies: % 19.52/3.92 | (54) $i(all_38_1) % 19.52/3.92 | (55) $i(all_38_0) % 19.52/3.92 | (56) set_intersection2(all_16_5, all_16_7) = all_38_1 % 19.52/3.92 | (57) set_intersection2(all_16_4, all_16_6) = all_38_0 % 19.52/3.92 | (58) cartesian_product2(all_38_1, all_38_0) = all_16_3 % 19.52/3.92 | % 19.52/3.92 | DELTA: instantiating (49) with fresh symbols all_40_0, all_40_1 gives: % 19.52/3.92 | (59) cartesian_product2(all_40_1, all_40_0) = all_16_3 & % 19.52/3.92 | set_intersection2(all_16_4, all_30_0) = all_40_0 & % 19.52/3.92 | set_intersection2(all_16_5, all_30_1) = all_40_1 & $i(all_40_0) & % 19.52/3.92 | $i(all_40_1) & $i(all_16_3) % 19.52/3.92 | % 19.52/3.92 | ALPHA: (59) implies: % 19.52/3.92 | (60) set_intersection2(all_16_5, all_30_1) = all_40_1 % 19.52/3.92 | (61) set_intersection2(all_16_4, all_30_0) = all_40_0 % 19.52/3.92 | (62) cartesian_product2(all_40_1, all_40_0) = all_16_3 % 19.52/3.92 | % 19.52/3.92 | DELTA: instantiating (48) with fresh symbols all_42_0, all_42_1 gives: % 19.52/3.92 | (63) cartesian_product2(all_42_1, all_42_0) = all_16_3 & % 19.52/3.92 | set_intersection2(all_30_0, all_16_4) = all_42_0 & % 19.52/3.92 | set_intersection2(all_30_1, all_16_5) = all_42_1 & $i(all_42_0) & % 19.52/3.92 | $i(all_42_1) & $i(all_16_3) % 19.52/3.92 | % 19.52/3.92 | ALPHA: (63) implies: % 19.52/3.92 | (64) set_intersection2(all_30_1, all_16_5) = all_42_1 % 19.52/3.92 | (65) set_intersection2(all_30_0, all_16_4) = all_42_0 % 19.52/3.92 | (66) cartesian_product2(all_42_1, all_42_0) = all_16_3 % 19.52/3.92 | % 19.52/3.92 | GROUND_INST: instantiating (11) with all_30_1, all_38_1, all_16_7, all_16_5, % 19.52/3.92 | simplifying with (39), (56) gives: % 19.52/3.92 | (67) all_38_1 = all_30_1 % 19.52/3.92 | % 19.52/3.92 | GROUND_INST: instantiating (11) with all_30_0, all_38_0, all_16_6, all_16_4, % 19.52/3.92 | simplifying with (44), (57) gives: % 19.52/3.92 | (68) all_38_0 = all_30_0 % 19.52/3.92 | % 19.52/3.92 | GROUND_INST: instantiating (5) with all_16_5, all_16_7, all_16_6, all_16_4, % 19.52/3.92 | all_30_1, all_30_0, all_16_3, simplifying with (16), (17), (18), % 19.52/3.92 | (19), (34), (35), (39) gives: % 19.52/3.92 | (69) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_16_5, all_16_6) = % 19.52/3.92 | v0 & cartesian_product2(all_16_7, all_16_4) = v1 & % 19.52/3.92 | set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.52/3.92 | $i(all_16_3)) % 19.52/3.92 | % 19.52/3.92 | GROUND_INST: instantiating (t17_xboole_1) with all_16_5, all_16_7, all_30_1, % 19.52/3.92 | simplifying with (16), (18), (39) gives: % 19.52/3.92 | (70) subset(all_30_1, all_16_5) = 0 % 19.52/3.92 | % 19.52/3.92 | GROUND_INST: instantiating (1) with all_30_1, all_16_5, all_40_1, simplifying % 19.52/3.92 | with (18), (38), (60) gives: % 19.52/3.92 | (71) set_intersection2(all_30_1, all_16_5) = all_40_1 & $i(all_40_1) % 19.52/3.92 | % 19.52/3.92 | ALPHA: (71) implies: % 19.52/3.92 | (72) $i(all_40_1) % 19.52/3.92 | (73) set_intersection2(all_30_1, all_16_5) = all_40_1 % 19.52/3.92 | % 19.52/3.92 | GROUND_INST: instantiating (t17_xboole_1) with all_16_5, all_30_1, all_40_1, % 19.52/3.92 | simplifying with (18), (38), (60) gives: % 19.52/3.92 | (74) subset(all_40_1, all_16_5) = 0 % 19.52/3.92 | % 19.52/3.92 | GROUND_INST: instantiating (5) with all_16_7, all_16_5, all_16_4, all_16_6, % 19.52/3.92 | all_30_1, all_30_0, all_16_3, simplifying with (16), (17), (18), % 19.52/3.92 | (19), (33), (35), (44) gives: % 19.52/3.93 | (75) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_16_5, all_16_6) = % 19.52/3.93 | v1 & cartesian_product2(all_16_7, all_16_4) = v0 & % 19.52/3.93 | set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.52/3.93 | $i(all_16_3)) % 19.52/3.93 | % 19.52/3.93 | GROUND_INST: instantiating (t17_xboole_1) with all_16_4, all_16_6, all_30_0, % 19.52/3.93 | simplifying with (17), (19), (44) gives: % 19.52/3.93 | (76) subset(all_30_0, all_16_4) = 0 % 19.52/3.93 | % 19.52/3.93 | GROUND_INST: instantiating (1) with all_30_0, all_16_4, all_40_0, simplifying % 19.52/3.93 | with (19), (43), (61) gives: % 19.52/3.93 | (77) set_intersection2(all_30_0, all_16_4) = all_40_0 & $i(all_40_0) % 19.52/3.93 | % 19.52/3.93 | ALPHA: (77) implies: % 19.52/3.93 | (78) $i(all_40_0) % 19.52/3.93 | (79) set_intersection2(all_30_0, all_16_4) = all_40_0 % 19.52/3.93 | % 19.52/3.93 | GROUND_INST: instantiating (t17_xboole_1) with all_16_4, all_30_0, all_40_0, % 19.52/3.93 | simplifying with (19), (43), (61) gives: % 19.52/3.93 | (80) subset(all_40_0, all_16_4) = 0 % 19.52/3.93 | % 19.52/3.93 | GROUND_INST: instantiating (4) with all_30_1, all_30_1, all_30_0, all_30_0, % 19.52/3.93 | all_16_3, all_16_3, all_16_3, simplifying with (35), (38), (43), % 19.52/3.93 | (47) gives: % 19.52/3.93 | (81) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.93 | set_intersection2(all_30_0, all_30_0) = v1 & % 19.52/3.93 | set_intersection2(all_30_1, all_30_1) = v0 & $i(v1) & $i(v0) & % 19.52/3.93 | $i(all_16_3)) % 19.52/3.93 | % 19.52/3.93 | GROUND_INST: instantiating (4) with all_16_7, all_30_1, all_16_6, all_30_0, % 19.52/3.93 | all_16_3, all_16_3, all_16_3, simplifying with (16), (17), (25), % 19.52/3.93 | (35), (38), (43), (47) gives: % 19.52/3.93 | (82) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.93 | set_intersection2(all_16_6, all_30_0) = v1 & % 19.52/3.93 | set_intersection2(all_16_7, all_30_1) = v0 & $i(v1) & $i(v0) & % 19.52/3.93 | $i(all_16_3)) % 19.52/3.93 | % 19.52/3.93 | GROUND_INST: instantiating (4) with all_30_1, all_16_7, all_30_0, all_16_6, % 19.52/3.93 | all_16_3, all_16_3, all_16_3, simplifying with (16), (17), (25), % 19.52/3.93 | (35), (38), (43), (47) gives: % 19.52/3.93 | (83) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.93 | set_intersection2(all_30_0, all_16_6) = v1 & % 19.52/3.93 | set_intersection2(all_30_1, all_16_7) = v0 & $i(v1) & $i(v0) & % 19.52/3.93 | $i(all_16_3)) % 19.52/3.93 | % 19.52/3.93 | GROUND_INST: instantiating (4) with all_16_7, all_16_7, all_16_6, all_16_6, % 19.52/3.93 | all_16_3, all_16_3, all_16_3, simplifying with (16), (17), (25), % 19.52/3.93 | (47) gives: % 19.52/3.93 | (84) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.93 | set_intersection2(all_16_6, all_16_6) = v1 & % 19.52/3.93 | set_intersection2(all_16_7, all_16_7) = v0 & $i(v1) & $i(v0) & % 19.52/3.93 | $i(all_16_3)) % 19.52/3.93 | % 19.52/3.93 | GROUND_INST: instantiating (9) with all_30_1, all_16_5, all_42_1, simplifying % 19.52/3.93 | with (18), (38), (64) gives: % 19.52/3.94 | (85) all_42_1 = all_30_1 | ? [v0: int] : ( ~ (v0 = 0) & subset(all_30_1, % 19.52/3.94 | all_16_5) = v0) % 19.52/3.94 | % 19.52/3.94 | GROUND_INST: instantiating (1) with all_16_5, all_30_1, all_42_1, simplifying % 19.52/3.94 | with (18), (38), (64) gives: % 19.52/3.94 | (86) set_intersection2(all_16_5, all_30_1) = all_42_1 & $i(all_42_1) % 19.52/3.94 | % 19.52/3.94 | ALPHA: (86) implies: % 19.52/3.94 | (87) $i(all_42_1) % 19.52/3.94 | % 19.52/3.94 | GROUND_INST: instantiating (9) with all_30_0, all_16_4, all_42_0, simplifying % 19.52/3.94 | with (19), (43), (65) gives: % 19.52/3.94 | (88) all_42_0 = all_30_0 | ? [v0: int] : ( ~ (v0 = 0) & subset(all_30_0, % 19.52/3.94 | all_16_4) = v0) % 19.52/3.94 | % 19.52/3.94 | GROUND_INST: instantiating (1) with all_16_4, all_30_0, all_42_0, simplifying % 19.52/3.94 | with (19), (43), (65) gives: % 19.52/3.94 | (89) set_intersection2(all_16_4, all_30_0) = all_42_0 & $i(all_42_0) % 19.52/3.94 | % 19.52/3.94 | ALPHA: (89) implies: % 19.52/3.94 | (90) $i(all_42_0) % 19.52/3.94 | % 19.52/3.94 | GROUND_INST: instantiating (8) with all_30_1, all_16_7, simplifying with (16), % 19.52/3.94 | (38), (40) gives: % 19.52/3.94 | (91) set_intersection2(all_30_1, all_16_7) = all_30_1 % 19.52/3.94 | % 19.52/3.94 | GROUND_INST: instantiating (8) with all_30_0, all_16_6, simplifying with (17), % 19.52/3.94 | (43), (45) gives: % 19.52/3.94 | (92) set_intersection2(all_30_0, all_16_6) = all_30_0 % 19.52/3.94 | % 19.52/3.94 | GROUND_INST: instantiating (4) with all_16_5, all_40_1, all_16_4, all_40_0, % 19.52/3.94 | all_16_2, all_16_3, all_16_3, simplifying with (18), (19), (26), % 19.52/3.94 | (30), (62), (72), (78) gives: % 19.52/3.94 | (93) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.94 | set_intersection2(all_16_4, all_40_0) = v1 & % 19.52/3.94 | set_intersection2(all_16_5, all_40_1) = v0 & $i(v1) & $i(v0) & % 19.52/3.94 | $i(all_16_3)) % 19.52/3.94 | % 19.52/3.94 | GROUND_INST: instantiating (4) with all_40_1, all_16_5, all_40_0, all_16_4, % 19.52/3.94 | all_16_3, all_16_2, all_16_3, simplifying with (18), (19), (26), % 19.52/3.94 | (28), (62), (72), (78) gives: % 19.52/3.94 | (94) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.94 | set_intersection2(all_40_0, all_16_4) = v1 & % 19.52/3.94 | set_intersection2(all_40_1, all_16_5) = v0 & $i(v1) & $i(v0) & % 19.52/3.94 | $i(all_16_3)) % 19.52/3.94 | % 19.52/3.94 | GROUND_INST: instantiating (4) with all_16_7, all_40_1, all_16_6, all_40_0, % 19.52/3.94 | all_16_3, all_16_3, all_16_3, simplifying with (16), (17), (25), % 19.52/3.94 | (47), (62), (72), (78) gives: % 19.52/3.94 | (95) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.94 | set_intersection2(all_16_6, all_40_0) = v1 & % 19.52/3.94 | set_intersection2(all_16_7, all_40_1) = v0 & $i(v1) & $i(v0) & % 19.52/3.94 | $i(all_16_3)) % 19.52/3.94 | % 19.52/3.95 | GROUND_INST: instantiating (4) with all_40_1, all_16_7, all_40_0, all_16_6, % 19.52/3.95 | all_16_3, all_16_3, all_16_3, simplifying with (16), (17), (25), % 19.52/3.95 | (47), (62), (72), (78) gives: % 19.52/3.95 | (96) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.95 | set_intersection2(all_40_0, all_16_6) = v1 & % 19.52/3.95 | set_intersection2(all_40_1, all_16_7) = v0 & $i(v1) & $i(v0) & % 19.52/3.95 | $i(all_16_3)) % 19.52/3.95 | % 19.52/3.95 | GROUND_INST: instantiating (4) with all_40_1, all_40_1, all_40_0, all_40_0, % 19.52/3.95 | all_16_3, all_16_3, all_16_3, simplifying with (47), (62), (72), % 19.52/3.95 | (78) gives: % 19.52/3.95 | (97) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.95 | set_intersection2(all_40_0, all_40_0) = v1 & % 19.52/3.95 | set_intersection2(all_40_1, all_40_1) = v0 & $i(v1) & $i(v0) & % 19.52/3.95 | $i(all_16_3)) % 19.52/3.95 | % 19.52/3.95 | GROUND_INST: instantiating (4) with all_30_1, all_42_1, all_30_0, all_42_0, % 19.52/3.95 | all_16_3, all_16_3, all_16_3, simplifying with (35), (38), (43), % 19.52/3.95 | (47), (66), (87), (90) gives: % 19.52/3.95 | (98) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.95 | set_intersection2(all_30_0, all_42_0) = v1 & % 19.52/3.95 | set_intersection2(all_30_1, all_42_1) = v0 & $i(v1) & $i(v0) & % 19.52/3.95 | $i(all_16_3)) % 19.52/3.95 | % 19.52/3.95 | GROUND_INST: instantiating (4) with all_42_1, all_30_1, all_42_0, all_30_0, % 19.52/3.95 | all_16_3, all_16_3, all_16_3, simplifying with (35), (38), (43), % 19.52/3.95 | (47), (66), (87), (90) gives: % 19.52/3.95 | (99) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.95 | set_intersection2(all_42_0, all_30_0) = v1 & % 19.52/3.95 | set_intersection2(all_42_1, all_30_1) = v0 & $i(v1) & $i(v0) & % 19.52/3.95 | $i(all_16_3)) % 19.52/3.95 | % 19.52/3.95 | GROUND_INST: instantiating (4) with all_42_1, all_16_5, all_42_0, all_16_4, % 19.52/3.95 | all_16_3, all_16_2, all_16_3, simplifying with (18), (19), (26), % 19.52/3.95 | (28), (66), (87), (90) gives: % 19.52/3.95 | (100) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.95 | set_intersection2(all_42_0, all_16_4) = v1 & % 19.52/3.95 | set_intersection2(all_42_1, all_16_5) = v0 & $i(v1) & $i(v0) & % 19.52/3.95 | $i(all_16_3)) % 19.52/3.95 | % 19.52/3.95 | GROUND_INST: instantiating (4) with all_16_7, all_42_1, all_16_6, all_42_0, % 19.52/3.95 | all_16_3, all_16_3, all_16_3, simplifying with (16), (17), (25), % 19.52/3.95 | (47), (66), (87), (90) gives: % 19.52/3.95 | (101) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.95 | set_intersection2(all_16_6, all_42_0) = v1 & % 19.52/3.95 | set_intersection2(all_16_7, all_42_1) = v0 & $i(v1) & $i(v0) & % 19.52/3.95 | $i(all_16_3)) % 19.52/3.95 | % 19.52/3.96 | GROUND_INST: instantiating (4) with all_42_1, all_16_7, all_42_0, all_16_6, % 19.52/3.96 | all_16_3, all_16_3, all_16_3, simplifying with (16), (17), (25), % 19.52/3.96 | (47), (66), (87), (90) gives: % 19.52/3.96 | (102) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.96 | set_intersection2(all_42_0, all_16_6) = v1 & % 19.52/3.96 | set_intersection2(all_42_1, all_16_7) = v0 & $i(v1) & $i(v0) & % 19.52/3.96 | $i(all_16_3)) % 19.52/3.96 | % 19.52/3.96 | GROUND_INST: instantiating (4) with all_42_1, all_42_1, all_42_0, all_42_0, % 19.52/3.96 | all_16_3, all_16_3, all_16_3, simplifying with (47), (66), (87), % 19.52/3.96 | (90) gives: % 19.52/3.96 | (103) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.96 | set_intersection2(all_42_0, all_42_0) = v1 & % 19.52/3.96 | set_intersection2(all_42_1, all_42_1) = v0 & $i(v1) & $i(v0) & % 19.52/3.96 | $i(all_16_3)) % 19.52/3.96 | % 19.52/3.96 | GROUND_INST: instantiating (4) with all_40_1, all_42_1, all_40_0, all_42_0, % 19.52/3.96 | all_16_3, all_16_3, all_16_3, simplifying with (47), (62), (66), % 19.52/3.96 | (72), (78), (87), (90) gives: % 19.52/3.96 | (104) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.96 | set_intersection2(all_40_0, all_42_0) = v1 & % 19.52/3.96 | set_intersection2(all_40_1, all_42_1) = v0 & $i(v1) & $i(v0) & % 19.52/3.96 | $i(all_16_3)) % 19.52/3.96 | % 19.52/3.96 | GROUND_INST: instantiating (4) with all_42_1, all_40_1, all_42_0, all_40_0, % 19.52/3.96 | all_16_3, all_16_3, all_16_3, simplifying with (47), (62), (66), % 19.52/3.96 | (72), (78), (87), (90) gives: % 19.52/3.96 | (105) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = all_16_3 & % 19.52/3.96 | set_intersection2(all_42_0, all_40_0) = v1 & % 19.52/3.96 | set_intersection2(all_42_1, all_40_1) = v0 & $i(v1) & $i(v0) & % 19.52/3.96 | $i(all_16_3)) % 19.52/3.96 | % 19.52/3.96 | DELTA: instantiating (84) with fresh symbols all_54_0, all_54_1 gives: % 19.52/3.96 | (106) cartesian_product2(all_54_1, all_54_0) = all_16_3 & % 19.52/3.96 | set_intersection2(all_16_6, all_16_6) = all_54_0 & % 19.52/3.96 | set_intersection2(all_16_7, all_16_7) = all_54_1 & $i(all_54_0) & % 19.52/3.96 | $i(all_54_1) & $i(all_16_3) % 19.52/3.96 | % 19.52/3.96 | ALPHA: (106) implies: % 19.52/3.96 | (107) $i(all_54_1) % 19.52/3.96 | (108) $i(all_54_0) % 19.52/3.96 | (109) set_intersection2(all_16_7, all_16_7) = all_54_1 % 19.52/3.96 | (110) set_intersection2(all_16_6, all_16_6) = all_54_0 % 19.52/3.96 | (111) cartesian_product2(all_54_1, all_54_0) = all_16_3 % 19.52/3.96 | % 19.52/3.96 | DELTA: instantiating (83) with fresh symbols all_56_0, all_56_1 gives: % 19.52/3.96 | (112) cartesian_product2(all_56_1, all_56_0) = all_16_3 & % 19.52/3.96 | set_intersection2(all_30_0, all_16_6) = all_56_0 & % 19.52/3.96 | set_intersection2(all_30_1, all_16_7) = all_56_1 & $i(all_56_0) & % 19.52/3.96 | $i(all_56_1) & $i(all_16_3) % 19.52/3.96 | % 19.52/3.96 | ALPHA: (112) implies: % 19.52/3.96 | (113) set_intersection2(all_30_1, all_16_7) = all_56_1 % 19.52/3.96 | (114) set_intersection2(all_30_0, all_16_6) = all_56_0 % 19.52/3.96 | % 19.52/3.96 | DELTA: instantiating (105) with fresh symbols all_58_0, all_58_1 gives: % 19.52/3.96 | (115) cartesian_product2(all_58_1, all_58_0) = all_16_3 & % 19.52/3.96 | set_intersection2(all_42_0, all_40_0) = all_58_0 & % 19.52/3.96 | set_intersection2(all_42_1, all_40_1) = all_58_1 & $i(all_58_0) & % 19.52/3.96 | $i(all_58_1) & $i(all_16_3) % 19.52/3.96 | % 19.52/3.96 | ALPHA: (115) implies: % 19.52/3.96 | (116) set_intersection2(all_42_1, all_40_1) = all_58_1 % 19.52/3.96 | (117) set_intersection2(all_42_0, all_40_0) = all_58_0 % 19.52/3.96 | % 19.52/3.96 | DELTA: instantiating (103) with fresh symbols all_60_0, all_60_1 gives: % 19.52/3.96 | (118) cartesian_product2(all_60_1, all_60_0) = all_16_3 & % 19.52/3.96 | set_intersection2(all_42_0, all_42_0) = all_60_0 & % 19.52/3.96 | set_intersection2(all_42_1, all_42_1) = all_60_1 & $i(all_60_0) & % 19.52/3.96 | $i(all_60_1) & $i(all_16_3) % 19.52/3.96 | % 19.52/3.96 | ALPHA: (118) implies: % 19.52/3.96 | (119) set_intersection2(all_42_1, all_42_1) = all_60_1 % 19.52/3.96 | (120) set_intersection2(all_42_0, all_42_0) = all_60_0 % 19.52/3.96 | % 19.52/3.96 | DELTA: instantiating (82) with fresh symbols all_62_0, all_62_1 gives: % 19.52/3.96 | (121) cartesian_product2(all_62_1, all_62_0) = all_16_3 & % 19.52/3.96 | set_intersection2(all_16_6, all_30_0) = all_62_0 & % 19.52/3.96 | set_intersection2(all_16_7, all_30_1) = all_62_1 & $i(all_62_0) & % 19.52/3.96 | $i(all_62_1) & $i(all_16_3) % 19.52/3.96 | % 19.52/3.96 | ALPHA: (121) implies: % 19.52/3.96 | (122) set_intersection2(all_16_7, all_30_1) = all_62_1 % 19.52/3.97 | (123) set_intersection2(all_16_6, all_30_0) = all_62_0 % 19.52/3.97 | % 19.52/3.97 | DELTA: instantiating (69) with fresh symbols all_64_0, all_64_1 gives: % 19.52/3.97 | (124) cartesian_product2(all_16_5, all_16_6) = all_64_1 & % 19.52/3.97 | cartesian_product2(all_16_7, all_16_4) = all_64_0 & % 19.52/3.97 | set_intersection2(all_64_1, all_64_0) = all_16_3 & $i(all_64_0) & % 19.52/3.97 | $i(all_64_1) & $i(all_16_3) % 19.52/3.97 | % 19.52/3.97 | ALPHA: (124) implies: % 19.52/3.97 | (125) cartesian_product2(all_16_7, all_16_4) = all_64_0 % 19.52/3.97 | (126) cartesian_product2(all_16_5, all_16_6) = all_64_1 % 19.52/3.97 | % 19.52/3.97 | DELTA: instantiating (81) with fresh symbols all_66_0, all_66_1 gives: % 19.52/3.97 | (127) cartesian_product2(all_66_1, all_66_0) = all_16_3 & % 19.52/3.97 | set_intersection2(all_30_0, all_30_0) = all_66_0 & % 19.52/3.97 | set_intersection2(all_30_1, all_30_1) = all_66_1 & $i(all_66_0) & % 19.52/3.97 | $i(all_66_1) & $i(all_16_3) % 19.52/3.97 | % 19.52/3.97 | ALPHA: (127) implies: % 19.52/3.97 | (128) $i(all_66_1) % 19.52/3.97 | (129) $i(all_66_0) % 19.52/3.97 | (130) set_intersection2(all_30_1, all_30_1) = all_66_1 % 19.52/3.97 | (131) set_intersection2(all_30_0, all_30_0) = all_66_0 % 19.52/3.97 | (132) cartesian_product2(all_66_1, all_66_0) = all_16_3 % 19.52/3.97 | % 19.52/3.97 | DELTA: instantiating (101) with fresh symbols all_68_0, all_68_1 gives: % 19.52/3.97 | (133) cartesian_product2(all_68_1, all_68_0) = all_16_3 & % 19.52/3.97 | set_intersection2(all_16_6, all_42_0) = all_68_0 & % 19.52/3.97 | set_intersection2(all_16_7, all_42_1) = all_68_1 & $i(all_68_0) & % 19.52/3.97 | $i(all_68_1) & $i(all_16_3) % 19.52/3.97 | % 19.52/3.97 | ALPHA: (133) implies: % 19.52/3.97 | (134) set_intersection2(all_16_7, all_42_1) = all_68_1 % 19.52/3.97 | (135) set_intersection2(all_16_6, all_42_0) = all_68_0 % 19.52/3.97 | % 19.52/3.97 | DELTA: instantiating (100) with fresh symbols all_70_0, all_70_1 gives: % 19.52/3.97 | (136) cartesian_product2(all_70_1, all_70_0) = all_16_3 & % 19.52/3.97 | set_intersection2(all_42_0, all_16_4) = all_70_0 & % 19.52/3.97 | set_intersection2(all_42_1, all_16_5) = all_70_1 & $i(all_70_0) & % 19.52/3.97 | $i(all_70_1) & $i(all_16_3) % 19.52/3.97 | % 19.52/3.97 | ALPHA: (136) implies: % 19.52/3.97 | (137) set_intersection2(all_42_1, all_16_5) = all_70_1 % 19.52/3.97 | (138) set_intersection2(all_42_0, all_16_4) = all_70_0 % 19.52/3.97 | % 19.52/3.97 | DELTA: instantiating (75) with fresh symbols all_72_0, all_72_1 gives: % 19.52/3.97 | (139) cartesian_product2(all_16_5, all_16_6) = all_72_0 & % 19.52/3.97 | cartesian_product2(all_16_7, all_16_4) = all_72_1 & % 19.52/3.97 | set_intersection2(all_72_1, all_72_0) = all_16_3 & $i(all_72_0) & % 19.52/3.97 | $i(all_72_1) & $i(all_16_3) % 19.52/3.97 | % 19.52/3.97 | ALPHA: (139) implies: % 19.52/3.97 | (140) cartesian_product2(all_16_7, all_16_4) = all_72_1 % 19.52/3.97 | (141) cartesian_product2(all_16_5, all_16_6) = all_72_0 % 19.52/3.97 | % 19.52/3.97 | DELTA: instantiating (99) with fresh symbols all_74_0, all_74_1 gives: % 19.52/3.97 | (142) cartesian_product2(all_74_1, all_74_0) = all_16_3 & % 19.52/3.97 | set_intersection2(all_42_0, all_30_0) = all_74_0 & % 19.52/3.97 | set_intersection2(all_42_1, all_30_1) = all_74_1 & $i(all_74_0) & % 19.52/3.97 | $i(all_74_1) & $i(all_16_3) % 19.52/3.97 | % 19.52/3.97 | ALPHA: (142) implies: % 19.52/3.97 | (143) set_intersection2(all_42_1, all_30_1) = all_74_1 % 19.52/3.97 | (144) set_intersection2(all_42_0, all_30_0) = all_74_0 % 19.52/3.97 | % 19.52/3.97 | DELTA: instantiating (104) with fresh symbols all_78_0, all_78_1 gives: % 19.52/3.97 | (145) cartesian_product2(all_78_1, all_78_0) = all_16_3 & % 19.52/3.97 | set_intersection2(all_40_0, all_42_0) = all_78_0 & % 19.52/3.97 | set_intersection2(all_40_1, all_42_1) = all_78_1 & $i(all_78_0) & % 19.52/3.97 | $i(all_78_1) & $i(all_16_3) % 19.52/3.97 | % 19.52/3.97 | ALPHA: (145) implies: % 19.52/3.97 | (146) set_intersection2(all_40_1, all_42_1) = all_78_1 % 19.52/3.97 | (147) set_intersection2(all_40_0, all_42_0) = all_78_0 % 19.52/3.97 | % 19.52/3.97 | DELTA: instantiating (102) with fresh symbols all_80_0, all_80_1 gives: % 19.52/3.97 | (148) cartesian_product2(all_80_1, all_80_0) = all_16_3 & % 19.52/3.97 | set_intersection2(all_42_0, all_16_6) = all_80_0 & % 19.52/3.97 | set_intersection2(all_42_1, all_16_7) = all_80_1 & $i(all_80_0) & % 19.52/3.97 | $i(all_80_1) & $i(all_16_3) % 19.52/3.97 | % 19.52/3.97 | ALPHA: (148) implies: % 19.52/3.97 | (149) set_intersection2(all_42_1, all_16_7) = all_80_1 % 19.52/3.97 | (150) set_intersection2(all_42_0, all_16_6) = all_80_0 % 19.52/3.97 | % 19.52/3.97 | DELTA: instantiating (98) with fresh symbols all_82_0, all_82_1 gives: % 19.89/3.97 | (151) cartesian_product2(all_82_1, all_82_0) = all_16_3 & % 19.89/3.97 | set_intersection2(all_30_0, all_42_0) = all_82_0 & % 19.89/3.97 | set_intersection2(all_30_1, all_42_1) = all_82_1 & $i(all_82_0) & % 19.89/3.97 | $i(all_82_1) & $i(all_16_3) % 19.89/3.97 | % 19.89/3.97 | ALPHA: (151) implies: % 19.89/3.97 | (152) set_intersection2(all_30_1, all_42_1) = all_82_1 % 19.89/3.97 | (153) set_intersection2(all_30_0, all_42_0) = all_82_0 % 19.89/3.97 | % 19.89/3.97 | DELTA: instantiating (94) with fresh symbols all_84_0, all_84_1 gives: % 19.89/3.97 | (154) cartesian_product2(all_84_1, all_84_0) = all_16_3 & % 19.89/3.97 | set_intersection2(all_40_0, all_16_4) = all_84_0 & % 19.89/3.97 | set_intersection2(all_40_1, all_16_5) = all_84_1 & $i(all_84_0) & % 19.89/3.97 | $i(all_84_1) & $i(all_16_3) % 19.89/3.97 | % 19.89/3.97 | ALPHA: (154) implies: % 19.89/3.97 | (155) $i(all_84_1) % 19.89/3.97 | (156) $i(all_84_0) % 19.89/3.97 | (157) set_intersection2(all_40_1, all_16_5) = all_84_1 % 19.89/3.97 | (158) set_intersection2(all_40_0, all_16_4) = all_84_0 % 19.89/3.97 | (159) cartesian_product2(all_84_1, all_84_0) = all_16_3 % 19.89/3.97 | % 19.89/3.97 | DELTA: instantiating (97) with fresh symbols all_86_0, all_86_1 gives: % 19.89/3.98 | (160) cartesian_product2(all_86_1, all_86_0) = all_16_3 & % 19.89/3.98 | set_intersection2(all_40_0, all_40_0) = all_86_0 & % 19.89/3.98 | set_intersection2(all_40_1, all_40_1) = all_86_1 & $i(all_86_0) & % 19.89/3.98 | $i(all_86_1) & $i(all_16_3) % 19.89/3.98 | % 19.89/3.98 | ALPHA: (160) implies: % 19.89/3.98 | (161) set_intersection2(all_40_1, all_40_1) = all_86_1 % 19.89/3.98 | (162) set_intersection2(all_40_0, all_40_0) = all_86_0 % 19.89/3.98 | % 19.89/3.98 | DELTA: instantiating (96) with fresh symbols all_88_0, all_88_1 gives: % 19.89/3.98 | (163) cartesian_product2(all_88_1, all_88_0) = all_16_3 & % 19.89/3.98 | set_intersection2(all_40_0, all_16_6) = all_88_0 & % 19.89/3.98 | set_intersection2(all_40_1, all_16_7) = all_88_1 & $i(all_88_0) & % 19.89/3.98 | $i(all_88_1) & $i(all_16_3) % 19.89/3.98 | % 19.89/3.98 | ALPHA: (163) implies: % 19.89/3.98 | (164) set_intersection2(all_40_1, all_16_7) = all_88_1 % 19.89/3.98 | (165) set_intersection2(all_40_0, all_16_6) = all_88_0 % 19.89/3.98 | % 19.89/3.98 | DELTA: instantiating (95) with fresh symbols all_90_0, all_90_1 gives: % 19.89/3.98 | (166) cartesian_product2(all_90_1, all_90_0) = all_16_3 & % 19.89/3.98 | set_intersection2(all_16_6, all_40_0) = all_90_0 & % 19.89/3.98 | set_intersection2(all_16_7, all_40_1) = all_90_1 & $i(all_90_0) & % 19.89/3.98 | $i(all_90_1) & $i(all_16_3) % 19.89/3.98 | % 19.89/3.98 | ALPHA: (166) implies: % 19.89/3.98 | (167) set_intersection2(all_16_7, all_40_1) = all_90_1 % 19.89/3.98 | (168) set_intersection2(all_16_6, all_40_0) = all_90_0 % 19.89/3.98 | (169) cartesian_product2(all_90_1, all_90_0) = all_16_3 % 19.89/3.98 | % 19.89/3.98 | DELTA: instantiating (93) with fresh symbols all_92_0, all_92_1 gives: % 19.89/3.98 | (170) cartesian_product2(all_92_1, all_92_0) = all_16_3 & % 19.89/3.98 | set_intersection2(all_16_4, all_40_0) = all_92_0 & % 19.89/3.98 | set_intersection2(all_16_5, all_40_1) = all_92_1 & $i(all_92_0) & % 19.89/3.98 | $i(all_92_1) & $i(all_16_3) % 19.89/3.98 | % 19.89/3.98 | ALPHA: (170) implies: % 19.89/3.98 | (171) set_intersection2(all_16_5, all_40_1) = all_92_1 % 19.89/3.98 | (172) set_intersection2(all_16_4, all_40_0) = all_92_0 % 19.89/3.98 | % 19.89/3.98 | BETA: splitting (88) gives: % 19.89/3.98 | % 19.89/3.98 | Case 1: % 19.89/3.98 | | % 19.89/3.98 | | (173) all_42_0 = all_30_0 % 19.89/3.98 | | % 19.89/3.98 | | REDUCE: (120), (173) imply: % 19.89/3.98 | | (174) set_intersection2(all_30_0, all_30_0) = all_60_0 % 19.89/3.98 | | % 19.89/3.98 | | REDUCE: (117), (173) imply: % 19.89/3.98 | | (175) set_intersection2(all_30_0, all_40_0) = all_58_0 % 19.89/3.98 | | % 19.89/3.98 | | REDUCE: (144), (173) imply: % 19.89/3.98 | | (176) set_intersection2(all_30_0, all_30_0) = all_74_0 % 19.89/3.98 | | % 19.89/3.98 | | REDUCE: (138), (173) imply: % 19.89/3.98 | | (177) set_intersection2(all_30_0, all_16_4) = all_70_0 % 19.89/3.98 | | % 19.89/3.98 | | REDUCE: (150), (173) imply: % 19.89/3.98 | | (178) set_intersection2(all_30_0, all_16_6) = all_80_0 % 19.89/3.98 | | % 19.89/3.98 | | REDUCE: (147), (173) imply: % 19.89/3.98 | | (179) set_intersection2(all_40_0, all_30_0) = all_78_0 % 19.89/3.98 | | % 19.89/3.98 | | REDUCE: (153), (173) imply: % 19.89/3.98 | | (180) set_intersection2(all_30_0, all_30_0) = all_82_0 % 19.89/3.98 | | % 19.89/3.98 | | REDUCE: (65), (173) imply: % 19.89/3.98 | | (181) set_intersection2(all_30_0, all_16_4) = all_30_0 % 19.89/3.98 | | % 19.89/3.98 | | REDUCE: (135), (173) imply: % 19.89/3.98 | | (182) set_intersection2(all_16_6, all_30_0) = all_68_0 % 19.89/3.98 | | % 19.89/3.98 | | BETA: splitting (85) gives: % 19.89/3.98 | | % 19.89/3.98 | | Case 1: % 19.89/3.98 | | | % 19.89/3.98 | | | (183) all_42_1 = all_30_1 % 19.89/3.98 | | | % 19.89/3.98 | | | REDUCE: (119), (183) imply: % 19.89/3.98 | | | (184) set_intersection2(all_30_1, all_30_1) = all_60_1 % 19.89/3.98 | | | % 19.89/3.98 | | | REDUCE: (116), (183) imply: % 19.89/3.98 | | | (185) set_intersection2(all_30_1, all_40_1) = all_58_1 % 19.89/3.98 | | | % 19.89/3.98 | | | REDUCE: (143), (183) imply: % 19.89/3.98 | | | (186) set_intersection2(all_30_1, all_30_1) = all_74_1 % 19.89/3.98 | | | % 19.89/3.98 | | | REDUCE: (137), (183) imply: % 19.89/3.98 | | | (187) set_intersection2(all_30_1, all_16_5) = all_70_1 % 19.89/3.98 | | | % 19.89/3.98 | | | REDUCE: (149), (183) imply: % 19.89/3.98 | | | (188) set_intersection2(all_30_1, all_16_7) = all_80_1 % 19.89/3.98 | | | % 19.89/3.98 | | | REDUCE: (146), (183) imply: % 19.89/3.98 | | | (189) set_intersection2(all_40_1, all_30_1) = all_78_1 % 19.89/3.98 | | | % 19.89/3.98 | | | REDUCE: (152), (183) imply: % 19.89/3.98 | | | (190) set_intersection2(all_30_1, all_30_1) = all_82_1 % 19.89/3.98 | | | % 19.89/3.98 | | | REDUCE: (64), (183) imply: % 19.89/3.99 | | | (191) set_intersection2(all_30_1, all_16_5) = all_30_1 % 19.89/3.99 | | | % 19.89/3.99 | | | REDUCE: (134), (183) imply: % 19.89/3.99 | | | (192) set_intersection2(all_16_7, all_30_1) = all_68_1 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_62_1, all_68_1, all_30_1, % 19.89/3.99 | | | all_16_7, simplifying with (122), (192) gives: % 19.89/3.99 | | | (193) all_68_1 = all_62_1 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_62_0, all_68_0, all_30_0, % 19.89/3.99 | | | all_16_6, simplifying with (123), (182) gives: % 19.89/3.99 | | | (194) all_68_0 = all_62_0 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_56_1, all_80_1, all_16_7, % 19.89/3.99 | | | all_30_1, simplifying with (113), (188) gives: % 19.89/3.99 | | | (195) all_80_1 = all_56_1 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_30_1, all_80_1, all_16_7, % 19.89/3.99 | | | all_30_1, simplifying with (91), (188) gives: % 19.89/3.99 | | | (196) all_80_1 = all_30_1 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_40_1, all_70_1, all_16_5, % 19.89/3.99 | | | all_30_1, simplifying with (73), (187) gives: % 19.89/3.99 | | | (197) all_70_1 = all_40_1 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_30_1, all_70_1, all_16_5, % 19.89/3.99 | | | all_30_1, simplifying with (187), (191) gives: % 19.89/3.99 | | | (198) all_70_1 = all_30_1 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_60_1, all_74_1, all_30_1, % 19.89/3.99 | | | all_30_1, simplifying with (184), (186) gives: % 19.89/3.99 | | | (199) all_74_1 = all_60_1 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_74_1, all_82_1, all_30_1, % 19.89/3.99 | | | all_30_1, simplifying with (186), (190) gives: % 19.89/3.99 | | | (200) all_82_1 = all_74_1 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_66_1, all_82_1, all_30_1, % 19.89/3.99 | | | all_30_1, simplifying with (130), (190) gives: % 19.89/3.99 | | | (201) all_82_1 = all_66_1 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_56_0, all_80_0, all_16_6, % 19.89/3.99 | | | all_30_0, simplifying with (114), (178) gives: % 19.89/3.99 | | | (202) all_80_0 = all_56_0 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_30_0, all_80_0, all_16_6, % 19.89/3.99 | | | all_30_0, simplifying with (92), (178) gives: % 19.89/3.99 | | | (203) all_80_0 = all_30_0 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_40_0, all_70_0, all_16_4, % 19.89/3.99 | | | all_30_0, simplifying with (79), (177) gives: % 19.89/3.99 | | | (204) all_70_0 = all_40_0 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_30_0, all_70_0, all_16_4, % 19.89/3.99 | | | all_30_0, simplifying with (177), (181) gives: % 19.89/3.99 | | | (205) all_70_0 = all_30_0 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_66_0, all_74_0, all_30_0, % 19.89/3.99 | | | all_30_0, simplifying with (131), (176) gives: % 19.89/3.99 | | | (206) all_74_0 = all_66_0 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_74_0, all_82_0, all_30_0, % 19.89/3.99 | | | all_30_0, simplifying with (176), (180) gives: % 19.89/3.99 | | | (207) all_82_0 = all_74_0 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (11) with all_60_0, all_82_0, all_30_0, % 19.89/3.99 | | | all_30_0, simplifying with (174), (180) gives: % 19.89/3.99 | | | (208) all_82_0 = all_60_0 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (13) with all_64_0, all_72_1, all_16_4, % 19.89/3.99 | | | all_16_7, simplifying with (125), (140) gives: % 19.89/3.99 | | | (209) all_72_1 = all_64_0 % 19.89/3.99 | | | % 19.89/3.99 | | | GROUND_INST: instantiating (13) with all_64_1, all_72_0, all_16_6, % 19.89/3.99 | | | all_16_5, simplifying with (126), (141) gives: % 19.89/3.99 | | | (210) all_72_0 = all_64_1 % 19.89/3.99 | | | % 19.89/3.99 | | | COMBINE_EQS: (207), (208) imply: % 19.89/3.99 | | | (211) all_74_0 = all_60_0 % 19.89/3.99 | | | % 19.89/3.99 | | | SIMP: (211) implies: % 19.89/3.99 | | | (212) all_74_0 = all_60_0 % 19.89/3.99 | | | % 19.89/3.99 | | | COMBINE_EQS: (200), (201) imply: % 19.89/3.99 | | | (213) all_74_1 = all_66_1 % 19.89/3.99 | | | % 19.89/3.99 | | | SIMP: (213) implies: % 19.89/3.99 | | | (214) all_74_1 = all_66_1 % 19.89/3.99 | | | % 19.89/3.99 | | | COMBINE_EQS: (202), (203) imply: % 19.89/3.99 | | | (215) all_56_0 = all_30_0 % 19.89/3.99 | | | % 19.89/3.99 | | | SIMP: (215) implies: % 19.89/3.99 | | | (216) all_56_0 = all_30_0 % 19.89/3.99 | | | % 19.89/3.99 | | | COMBINE_EQS: (195), (196) imply: % 19.89/3.99 | | | (217) all_56_1 = all_30_1 % 19.89/3.99 | | | % 19.89/3.99 | | | SIMP: (217) implies: % 19.89/3.99 | | | (218) all_56_1 = all_30_1 % 19.89/3.99 | | | % 19.89/3.99 | | | COMBINE_EQS: (206), (212) imply: % 19.89/3.99 | | | (219) all_66_0 = all_60_0 % 19.89/3.99 | | | % 19.89/3.99 | | | SIMP: (219) implies: % 19.89/3.99 | | | (220) all_66_0 = all_60_0 % 19.89/3.99 | | | % 19.89/3.99 | | | COMBINE_EQS: (199), (214) imply: % 19.89/3.99 | | | (221) all_66_1 = all_60_1 % 19.89/3.99 | | | % 19.89/3.99 | | | COMBINE_EQS: (204), (205) imply: % 19.89/3.99 | | | (222) all_40_0 = all_30_0 % 19.89/3.99 | | | % 19.89/3.99 | | | SIMP: (222) implies: % 19.89/3.99 | | | (223) all_40_0 = all_30_0 % 19.89/3.99 | | | % 19.89/3.99 | | | COMBINE_EQS: (197), (198) imply: % 19.89/3.99 | | | (224) all_40_1 = all_30_1 % 19.89/3.99 | | | % 19.89/3.99 | | | SIMP: (224) implies: % 19.89/3.99 | | | (225) all_40_1 = all_30_1 % 19.89/3.99 | | | % 19.89/3.99 | | | REDUCE: (132), (220), (221) imply: % 19.89/3.99 | | | (226) cartesian_product2(all_60_1, all_60_0) = all_16_3 % 19.89/3.99 | | | % 19.89/3.99 | | | REDUCE: (162), (223) imply: % 19.89/3.99 | | | (227) set_intersection2(all_30_0, all_30_0) = all_86_0 % 19.89/3.99 | | | % 19.89/3.99 | | | REDUCE: (179), (223) imply: % 19.89/3.99 | | | (228) set_intersection2(all_30_0, all_30_0) = all_78_0 % 19.89/3.99 | | | % 19.89/3.99 | | | REDUCE: (158), (223) imply: % 19.89/3.99 | | | (229) set_intersection2(all_30_0, all_16_4) = all_84_0 % 19.89/3.99 | | | % 19.89/3.99 | | | REDUCE: (165), (223) imply: % 19.89/3.99 | | | (230) set_intersection2(all_30_0, all_16_6) = all_88_0 % 19.89/3.99 | | | % 19.89/3.99 | | | REDUCE: (161), (225) imply: % 19.89/3.99 | | | (231) set_intersection2(all_30_1, all_30_1) = all_86_1 % 19.89/3.99 | | | % 19.89/3.99 | | | REDUCE: (189), (225) imply: % 19.89/3.99 | | | (232) set_intersection2(all_30_1, all_30_1) = all_78_1 % 19.89/3.99 | | | % 19.89/3.99 | | | REDUCE: (157), (225) imply: % 19.89/3.99 | | | (233) set_intersection2(all_30_1, all_16_5) = all_84_1 % 19.89/3.99 | | | % 19.89/3.99 | | | REDUCE: (164), (225) imply: % 19.89/3.99 | | | (234) set_intersection2(all_30_1, all_16_7) = all_88_1 % 19.89/3.99 | | | % 19.89/3.99 | | | REDUCE: (175), (223) imply: % 19.89/3.99 | | | (235) set_intersection2(all_30_0, all_30_0) = all_58_0 % 19.89/3.99 | | | % 19.89/4.00 | | | REDUCE: (185), (225) imply: % 19.89/4.00 | | | (236) set_intersection2(all_30_1, all_30_1) = all_58_1 % 19.89/4.00 | | | % 19.89/4.00 | | | REDUCE: (172), (223) imply: % 19.89/4.00 | | | (237) set_intersection2(all_16_4, all_30_0) = all_92_0 % 19.89/4.00 | | | % 19.89/4.00 | | | REDUCE: (61), (223) imply: % 19.89/4.00 | | | (238) set_intersection2(all_16_4, all_30_0) = all_30_0 % 19.89/4.00 | | | % 19.89/4.00 | | | REDUCE: (171), (225) imply: % 19.89/4.00 | | | (239) set_intersection2(all_16_5, all_30_1) = all_92_1 % 19.89/4.00 | | | % 19.89/4.00 | | | REDUCE: (60), (225) imply: % 19.89/4.00 | | | (240) set_intersection2(all_16_5, all_30_1) = all_30_1 % 19.89/4.00 | | | % 19.89/4.00 | | | REDUCE: (168), (223) imply: % 19.89/4.00 | | | (241) set_intersection2(all_16_6, all_30_0) = all_90_0 % 19.89/4.00 | | | % 19.89/4.00 | | | REDUCE: (167), (225) imply: % 19.89/4.00 | | | (242) set_intersection2(all_16_7, all_30_1) = all_90_1 % 19.89/4.00 | | | % 19.89/4.00 | | | REDUCE: (129), (220) imply: % 19.89/4.00 | | | (243) $i(all_60_0) % 19.89/4.00 | | | % 19.89/4.00 | | | REDUCE: (128), (221) imply: % 19.89/4.00 | | | (244) $i(all_60_1) % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_62_1, all_90_1, all_30_1, % 19.89/4.00 | | | all_16_7, simplifying with (122), (242) gives: % 19.89/4.00 | | | (245) all_90_1 = all_62_1 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_62_0, all_90_0, all_30_0, % 19.89/4.00 | | | all_16_6, simplifying with (123), (241) gives: % 19.89/4.00 | | | (246) all_90_0 = all_62_0 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_30_1, all_92_1, all_30_1, % 19.89/4.00 | | | all_16_5, simplifying with (239), (240) gives: % 19.89/4.00 | | | (247) all_92_1 = all_30_1 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_30_0, all_92_0, all_30_0, % 19.89/4.00 | | | all_16_4, simplifying with (237), (238) gives: % 19.89/4.00 | | | (248) all_92_0 = all_30_0 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_30_1, all_88_1, all_16_7, % 19.89/4.00 | | | all_30_1, simplifying with (91), (234) gives: % 19.89/4.00 | | | (249) all_88_1 = all_30_1 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_30_1, all_84_1, all_16_5, % 19.89/4.00 | | | all_30_1, simplifying with (191), (233) gives: % 19.89/4.00 | | | (250) all_84_1 = all_30_1 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_60_1, all_78_1, all_30_1, % 19.89/4.00 | | | all_30_1, simplifying with (184), (232) gives: % 19.89/4.00 | | | (251) all_78_1 = all_60_1 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_78_1, all_86_1, all_30_1, % 19.89/4.00 | | | all_30_1, simplifying with (231), (232) gives: % 19.89/4.00 | | | (252) all_86_1 = all_78_1 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_58_1, all_86_1, all_30_1, % 19.89/4.00 | | | all_30_1, simplifying with (231), (236) gives: % 19.89/4.00 | | | (253) all_86_1 = all_58_1 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_30_0, all_88_0, all_16_6, % 19.89/4.00 | | | all_30_0, simplifying with (92), (230) gives: % 19.89/4.00 | | | (254) all_88_0 = all_30_0 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_30_0, all_84_0, all_16_4, % 19.89/4.00 | | | all_30_0, simplifying with (181), (229) gives: % 19.89/4.00 | | | (255) all_84_0 = all_30_0 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_60_0, all_78_0, all_30_0, % 19.89/4.00 | | | all_30_0, simplifying with (174), (228) gives: % 19.89/4.00 | | | (256) all_78_0 = all_60_0 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_78_0, all_86_0, all_30_0, % 19.89/4.00 | | | all_30_0, simplifying with (227), (228) gives: % 19.89/4.00 | | | (257) all_86_0 = all_78_0 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (11) with all_58_0, all_86_0, all_30_0, % 19.89/4.00 | | | all_30_0, simplifying with (227), (235) gives: % 19.89/4.00 | | | (258) all_86_0 = all_58_0 % 19.89/4.00 | | | % 19.89/4.00 | | | COMBINE_EQS: (257), (258) imply: % 19.89/4.00 | | | (259) all_78_0 = all_58_0 % 19.89/4.00 | | | % 19.89/4.00 | | | SIMP: (259) implies: % 19.89/4.00 | | | (260) all_78_0 = all_58_0 % 19.89/4.00 | | | % 19.89/4.00 | | | COMBINE_EQS: (252), (253) imply: % 19.89/4.00 | | | (261) all_78_1 = all_58_1 % 19.89/4.00 | | | % 19.89/4.00 | | | SIMP: (261) implies: % 19.89/4.00 | | | (262) all_78_1 = all_58_1 % 19.89/4.00 | | | % 19.89/4.00 | | | COMBINE_EQS: (256), (260) imply: % 19.89/4.00 | | | (263) all_60_0 = all_58_0 % 19.89/4.00 | | | % 19.89/4.00 | | | SIMP: (263) implies: % 19.89/4.00 | | | (264) all_60_0 = all_58_0 % 19.89/4.00 | | | % 19.89/4.00 | | | COMBINE_EQS: (251), (262) imply: % 19.89/4.00 | | | (265) all_60_1 = all_58_1 % 19.89/4.00 | | | % 19.89/4.00 | | | SIMP: (265) implies: % 19.89/4.00 | | | (266) all_60_1 = all_58_1 % 19.89/4.00 | | | % 19.89/4.00 | | | REDUCE: (169), (245), (246) imply: % 19.89/4.00 | | | (267) cartesian_product2(all_62_1, all_62_0) = all_16_3 % 19.89/4.00 | | | % 19.89/4.00 | | | REDUCE: (226), (264), (266) imply: % 19.89/4.00 | | | (268) cartesian_product2(all_58_1, all_58_0) = all_16_3 % 19.89/4.00 | | | % 19.89/4.00 | | | REDUCE: (243), (264) imply: % 19.89/4.00 | | | (269) $i(all_58_0) % 19.89/4.00 | | | % 19.89/4.00 | | | REDUCE: (244), (266) imply: % 19.89/4.00 | | | (270) $i(all_58_1) % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (idempotence_k3_xboole_0) with all_16_7, % 19.89/4.00 | | | all_54_1, simplifying with (16), (109) gives: % 19.89/4.00 | | | (271) all_54_1 = all_16_7 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (9) with all_16_7, all_30_1, all_62_1, % 19.89/4.00 | | | simplifying with (16), (38), (122) gives: % 19.89/4.00 | | | (272) all_62_1 = all_16_7 | ? [v0: int] : ( ~ (v0 = 0) & % 19.89/4.00 | | | subset(all_16_7, all_30_1) = v0) % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (1) with all_30_1, all_16_7, all_62_1, % 19.89/4.00 | | | simplifying with (16), (38), (122) gives: % 19.89/4.00 | | | (273) set_intersection2(all_30_1, all_16_7) = all_62_1 & $i(all_62_1) % 19.89/4.00 | | | % 19.89/4.00 | | | ALPHA: (273) implies: % 19.89/4.00 | | | (274) $i(all_62_1) % 19.89/4.00 | | | (275) set_intersection2(all_30_1, all_16_7) = all_62_1 % 19.89/4.00 | | | % 19.89/4.00 | | | GROUND_INST: instantiating (idempotence_k3_xboole_0) with all_16_6, % 19.89/4.00 | | | all_54_0, simplifying with (17), (110) gives: % 19.89/4.00 | | | (276) all_54_0 = all_16_6 % 19.89/4.01 | | | % 19.89/4.01 | | | GROUND_INST: instantiating (9) with all_16_6, all_30_0, all_62_0, % 19.89/4.01 | | | simplifying with (17), (43), (123) gives: % 19.89/4.01 | | | (277) all_62_0 = all_16_6 | ? [v0: int] : ( ~ (v0 = 0) & % 19.89/4.01 | | | subset(all_16_6, all_30_0) = v0) % 19.89/4.01 | | | % 19.89/4.01 | | | GROUND_INST: instantiating (1) with all_30_0, all_16_6, all_62_0, % 19.89/4.01 | | | simplifying with (17), (43), (123) gives: % 19.89/4.01 | | | (278) set_intersection2(all_30_0, all_16_6) = all_62_0 & $i(all_62_0) % 19.89/4.01 | | | % 19.89/4.01 | | | ALPHA: (278) implies: % 19.89/4.01 | | | (279) $i(all_62_0) % 19.89/4.01 | | | (280) set_intersection2(all_30_0, all_16_6) = all_62_0 % 19.89/4.01 | | | % 19.89/4.01 | | | GROUND_INST: instantiating (5) with all_16_5, all_30_1, all_16_4, % 19.89/4.01 | | | all_16_6, all_30_1, all_30_0, all_16_3, simplifying with % 19.89/4.01 | | | (17), (18), (19), (35), (38), (44), (240) gives: % 19.89/4.01 | | | (281) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 19.89/4.01 | | | all_16_6) = v1 & cartesian_product2(all_16_5, all_16_4) = v0 % 19.89/4.01 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.89/4.01 | | | $i(all_16_3)) % 19.89/4.01 | | | % 19.89/4.01 | | | GROUND_INST: instantiating (5) with all_16_5, all_30_1, all_16_6, % 19.89/4.01 | | | all_16_4, all_30_1, all_30_0, all_16_3, simplifying with % 19.89/4.01 | | | (17), (18), (19), (34), (35), (38), (240) gives: % 19.89/4.01 | | | (282) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 19.89/4.01 | | | all_16_4) = v1 & cartesian_product2(all_16_5, all_16_6) = v0 % 19.89/4.01 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.89/4.01 | | | $i(all_16_3)) % 19.89/4.01 | | | % 19.89/4.01 | | | GROUND_INST: instantiating (5) with all_16_7, all_16_5, all_16_4, % 19.89/4.01 | | | all_30_0, all_30_1, all_30_0, all_16_3, simplifying with % 19.89/4.01 | | | (16), (18), (19), (33), (35), (43), (238) gives: % 19.89/4.01 | | | (283) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_16_5, % 19.89/4.01 | | | all_30_0) = v1 & cartesian_product2(all_16_7, all_16_4) = v0 % 19.89/4.01 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.89/4.01 | | | $i(all_16_3)) % 19.89/4.01 | | | % 19.89/4.01 | | | GROUND_INST: instantiating (5) with all_30_1, all_16_7, all_16_4, % 19.89/4.01 | | | all_16_6, all_30_1, all_30_0, all_16_3, simplifying with % 19.89/4.01 | | | (16), (17), (19), (35), (38), (44), (91) gives: % 19.89/4.01 | | | (284) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 19.89/4.01 | | | all_16_4) = v0 & cartesian_product2(all_16_7, all_16_6) = v1 % 19.89/4.01 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.89/4.01 | | | $i(all_16_3)) % 19.89/4.01 | | | % 19.89/4.01 | | | GROUND_INST: instantiating (5) with all_30_1, all_16_7, all_16_6, % 19.89/4.01 | | | all_16_4, all_30_1, all_30_0, all_16_3, simplifying with % 19.89/4.01 | | | (16), (17), (19), (34), (35), (38), (91) gives: % 19.89/4.01 | | | (285) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 19.89/4.01 | | | all_16_6) = v0 & cartesian_product2(all_16_7, all_16_4) = v1 % 19.89/4.01 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.89/4.01 | | | $i(all_16_3)) % 19.89/4.01 | | | % 19.89/4.01 | | | GROUND_INST: instantiating (5) with all_30_1, all_16_5, all_16_4, % 19.89/4.01 | | | all_16_6, all_30_1, all_30_0, all_16_3, simplifying with % 19.89/4.01 | | | (17), (18), (19), (35), (38), (44), (191) gives: % 19.89/4.01 | | | (286) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 19.89/4.01 | | | all_16_4) = v0 & cartesian_product2(all_16_5, all_16_6) = v1 % 19.89/4.01 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.89/4.01 | | | $i(all_16_3)) % 19.89/4.01 | | | % 19.89/4.01 | | | GROUND_INST: instantiating (5) with all_30_1, all_16_5, all_16_6, % 19.89/4.01 | | | all_16_4, all_30_1, all_30_0, all_16_3, simplifying with % 19.89/4.01 | | | (17), (18), (19), (34), (35), (38), (191) gives: % 19.89/4.01 | | | (287) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 19.89/4.01 | | | all_16_6) = v0 & cartesian_product2(all_16_5, all_16_4) = v1 % 19.89/4.01 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.89/4.01 | | | $i(all_16_3)) % 19.89/4.01 | | | % 19.89/4.01 | | | GROUND_INST: instantiating (idempotence_k3_xboole_0) with all_30_1, % 19.89/4.01 | | | all_58_1, simplifying with (38), (236) gives: % 19.89/4.01 | | | (288) all_58_1 = all_30_1 % 19.89/4.01 | | | % 19.89/4.01 | | | GROUND_INST: instantiating (5) with all_16_5, all_16_7, all_30_0, % 19.89/4.01 | | | all_16_6, all_30_1, all_30_0, all_16_3, simplifying with % 19.89/4.01 | | | (16), (17), (18), (35), (39), (43), (92) gives: % 19.89/4.02 | | | (289) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_16_5, % 19.89/4.02 | | | all_30_0) = v0 & cartesian_product2(all_16_7, all_16_6) = v1 % 19.89/4.02 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.89/4.02 | | | $i(all_16_3)) % 19.89/4.02 | | | % 19.89/4.02 | | | GROUND_INST: instantiating (5) with all_16_7, all_16_5, all_30_0, % 19.89/4.02 | | | all_16_6, all_30_1, all_30_0, all_16_3, simplifying with % 19.89/4.02 | | | (16), (17), (18), (33), (35), (43), (92) gives: % 19.89/4.02 | | | (290) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_16_5, % 19.89/4.02 | | | all_16_6) = v1 & cartesian_product2(all_16_7, all_30_0) = v0 % 19.89/4.02 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.89/4.02 | | | $i(all_16_3)) % 19.89/4.02 | | | % 19.89/4.02 | | | GROUND_INST: instantiating (5) with all_30_1, all_16_5, all_30_0, % 19.89/4.02 | | | all_16_6, all_30_1, all_30_0, all_16_3, simplifying with % 19.89/4.02 | | | (17), (18), (35), (38), (43), (92), (191) gives: % 19.89/4.02 | | | (291) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 19.89/4.02 | | | all_30_0) = v0 & cartesian_product2(all_16_5, all_16_6) = v1 % 19.89/4.02 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.89/4.02 | | | $i(all_16_3)) % 19.89/4.02 | | | % 19.89/4.02 | | | GROUND_INST: instantiating (5) with all_16_5, all_30_1, all_30_0, % 19.89/4.02 | | | all_16_6, all_30_1, all_30_0, all_16_3, simplifying with % 19.89/4.02 | | | (17), (18), (35), (38), (43), (92), (240) gives: % 19.89/4.02 | | | (292) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 19.89/4.02 | | | all_16_6) = v1 & cartesian_product2(all_16_5, all_30_0) = v0 % 19.89/4.02 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.89/4.02 | | | $i(all_16_3)) % 19.89/4.02 | | | % 19.89/4.02 | | | GROUND_INST: instantiating (5) with all_16_5, all_16_7, all_30_0, % 19.89/4.02 | | | all_16_4, all_30_1, all_30_0, all_16_3, simplifying with % 19.89/4.02 | | | (16), (18), (19), (35), (39), (43), (181) gives: % 19.89/4.02 | | | (293) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_16_5, % 19.89/4.02 | | | all_30_0) = v0 & cartesian_product2(all_16_7, all_16_4) = v1 % 19.89/4.02 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.89/4.02 | | | $i(all_16_3)) % 19.89/4.02 | | | % 19.89/4.02 | | | GROUND_INST: instantiating (5) with all_30_1, all_16_7, all_30_0, % 19.89/4.02 | | | all_16_4, all_30_1, all_30_0, all_16_3, simplifying with % 19.89/4.02 | | | (16), (19), (35), (38), (43), (91), (181) gives: % 19.89/4.02 | | | (294) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 19.89/4.02 | | | all_30_0) = v0 & cartesian_product2(all_16_7, all_16_4) = v1 % 19.89/4.02 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 19.89/4.02 | | | $i(all_16_3)) % 19.89/4.02 | | | % 19.89/4.02 | | | GROUND_INST: instantiating (idempotence_k3_xboole_0) with all_30_0, % 19.89/4.02 | | | all_58_0, simplifying with (43), (235) gives: % 19.89/4.02 | | | (295) all_58_0 = all_30_0 % 19.89/4.02 | | | % 19.89/4.02 | | | GROUND_INST: instantiating (4) with all_30_1, all_54_1, all_30_0, % 19.89/4.02 | | | all_54_0, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.02 | | | (35), (38), (43), (47), (107), (108), (111) gives: % 19.89/4.02 | | | (296) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.02 | | | all_16_3 & set_intersection2(all_30_0, all_54_0) = v1 & % 19.89/4.02 | | | set_intersection2(all_30_1, all_54_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.02 | | | $i(all_16_3)) % 19.89/4.02 | | | % 19.89/4.02 | | | GROUND_INST: instantiating (4) with all_16_5, all_54_1, all_16_4, % 19.89/4.02 | | | all_54_0, all_16_2, all_16_3, all_16_3, simplifying with % 19.89/4.02 | | | (18), (19), (26), (30), (107), (108), (111) gives: % 19.89/4.02 | | | (297) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.02 | | | all_16_3 & set_intersection2(all_16_4, all_54_0) = v1 & % 19.89/4.02 | | | set_intersection2(all_16_5, all_54_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.02 | | | $i(all_16_3)) % 19.89/4.02 | | | % 19.89/4.02 | | | GROUND_INST: instantiating (4) with all_54_1, all_16_5, all_54_0, % 19.89/4.02 | | | all_16_4, all_16_3, all_16_2, all_16_3, simplifying with % 19.89/4.02 | | | (18), (19), (26), (28), (107), (108), (111) gives: % 19.89/4.02 | | | (298) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.02 | | | all_16_3 & set_intersection2(all_54_0, all_16_4) = v1 & % 19.89/4.02 | | | set_intersection2(all_54_1, all_16_5) = v0 & $i(v1) & $i(v0) & % 19.89/4.02 | | | $i(all_16_3)) % 19.89/4.02 | | | % 19.89/4.02 | | | GROUND_INST: instantiating (4) with all_16_7, all_54_1, all_16_6, % 19.89/4.02 | | | all_54_0, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.02 | | | (16), (17), (25), (47), (107), (108), (111) gives: % 19.89/4.02 | | | (299) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.02 | | | all_16_3 & set_intersection2(all_16_6, all_54_0) = v1 & % 19.89/4.02 | | | set_intersection2(all_16_7, all_54_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.02 | | | $i(all_16_3)) % 19.89/4.02 | | | % 19.89/4.02 | | | GROUND_INST: instantiating (4) with all_54_1, all_16_7, all_54_0, % 19.89/4.02 | | | all_16_6, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.02 | | | (16), (17), (25), (47), (107), (108), (111) gives: % 19.89/4.02 | | | (300) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.02 | | | all_16_3 & set_intersection2(all_54_0, all_16_6) = v1 & % 19.89/4.02 | | | set_intersection2(all_54_1, all_16_7) = v0 & $i(v1) & $i(v0) & % 19.89/4.02 | | | $i(all_16_3)) % 19.89/4.02 | | | % 19.89/4.03 | | | GROUND_INST: instantiating (4) with all_54_1, all_54_1, all_54_0, % 19.89/4.03 | | | all_54_0, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.03 | | | (47), (107), (108), (111) gives: % 19.89/4.03 | | | (301) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.03 | | | all_16_3 & set_intersection2(all_54_0, all_54_0) = v1 & % 19.89/4.03 | | | set_intersection2(all_54_1, all_54_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.03 | | | $i(all_16_3)) % 19.89/4.03 | | | % 19.89/4.03 | | | GROUND_INST: instantiating (4) with all_30_1, all_58_1, all_30_0, % 19.89/4.03 | | | all_58_0, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.03 | | | (35), (38), (43), (47), (268), (269), (270) gives: % 19.89/4.03 | | | (302) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.03 | | | all_16_3 & set_intersection2(all_30_0, all_58_0) = v1 & % 19.89/4.03 | | | set_intersection2(all_30_1, all_58_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.03 | | | $i(all_16_3)) % 19.89/4.03 | | | % 19.89/4.03 | | | GROUND_INST: instantiating (4) with all_58_1, all_30_1, all_58_0, % 19.89/4.03 | | | all_30_0, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.03 | | | (35), (38), (43), (47), (268), (269), (270) gives: % 19.89/4.03 | | | (303) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.03 | | | all_16_3 & set_intersection2(all_58_0, all_30_0) = v1 & % 19.89/4.03 | | | set_intersection2(all_58_1, all_30_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.03 | | | $i(all_16_3)) % 19.89/4.03 | | | % 19.89/4.03 | | | GROUND_INST: instantiating (4) with all_16_5, all_58_1, all_16_4, % 19.89/4.03 | | | all_58_0, all_16_2, all_16_3, all_16_3, simplifying with % 19.89/4.03 | | | (18), (19), (26), (30), (268), (269), (270) gives: % 19.89/4.03 | | | (304) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.03 | | | all_16_3 & set_intersection2(all_16_4, all_58_0) = v1 & % 19.89/4.03 | | | set_intersection2(all_16_5, all_58_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.03 | | | $i(all_16_3)) % 19.89/4.03 | | | % 19.89/4.03 | | | GROUND_INST: instantiating (4) with all_58_1, all_16_5, all_58_0, % 19.89/4.03 | | | all_16_4, all_16_3, all_16_2, all_16_3, simplifying with % 19.89/4.03 | | | (18), (19), (26), (28), (268), (269), (270) gives: % 19.89/4.03 | | | (305) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.03 | | | all_16_3 & set_intersection2(all_58_0, all_16_4) = v1 & % 19.89/4.03 | | | set_intersection2(all_58_1, all_16_5) = v0 & $i(v1) & $i(v0) & % 19.89/4.03 | | | $i(all_16_3)) % 19.89/4.03 | | | % 19.89/4.03 | | | GROUND_INST: instantiating (4) with all_58_1, all_16_7, all_58_0, % 19.89/4.03 | | | all_16_6, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.03 | | | (16), (17), (25), (47), (268), (269), (270) gives: % 19.89/4.03 | | | (306) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.03 | | | all_16_3 & set_intersection2(all_58_0, all_16_6) = v1 & % 19.89/4.03 | | | set_intersection2(all_58_1, all_16_7) = v0 & $i(v1) & $i(v0) & % 19.89/4.03 | | | $i(all_16_3)) % 19.89/4.03 | | | % 19.89/4.03 | | | GROUND_INST: instantiating (4) with all_58_1, all_58_1, all_58_0, % 19.89/4.03 | | | all_58_0, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.03 | | | (47), (268), (269), (270) gives: % 19.89/4.03 | | | (307) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.03 | | | all_16_3 & set_intersection2(all_58_0, all_58_0) = v1 & % 19.89/4.03 | | | set_intersection2(all_58_1, all_58_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.03 | | | $i(all_16_3)) % 19.89/4.03 | | | % 19.89/4.03 | | | GROUND_INST: instantiating (4) with all_58_1, all_54_1, all_58_0, % 19.89/4.03 | | | all_54_0, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.03 | | | (47), (107), (108), (111), (268), (269), (270) gives: % 19.89/4.03 | | | (308) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.03 | | | all_16_3 & set_intersection2(all_58_0, all_54_0) = v1 & % 19.89/4.03 | | | set_intersection2(all_58_1, all_54_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.03 | | | $i(all_16_3)) % 19.89/4.03 | | | % 19.89/4.03 | | | GROUND_INST: instantiating (4) with all_30_1, all_62_1, all_30_0, % 19.89/4.03 | | | all_62_0, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.03 | | | (35), (38), (43), (47), (267), (274), (279) gives: % 19.89/4.03 | | | (309) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.03 | | | all_16_3 & set_intersection2(all_30_0, all_62_0) = v1 & % 19.89/4.03 | | | set_intersection2(all_30_1, all_62_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.03 | | | $i(all_16_3)) % 19.89/4.03 | | | % 19.89/4.03 | | | GROUND_INST: instantiating (4) with all_16_5, all_62_1, all_16_4, % 19.89/4.03 | | | all_62_0, all_16_2, all_16_3, all_16_3, simplifying with % 19.89/4.03 | | | (18), (19), (26), (30), (267), (274), (279) gives: % 19.89/4.03 | | | (310) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.03 | | | all_16_3 & set_intersection2(all_16_4, all_62_0) = v1 & % 19.89/4.03 | | | set_intersection2(all_16_5, all_62_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.03 | | | $i(all_16_3)) % 19.89/4.03 | | | % 19.89/4.04 | | | GROUND_INST: instantiating (4) with all_62_1, all_16_5, all_62_0, % 19.89/4.04 | | | all_16_4, all_16_3, all_16_2, all_16_3, simplifying with % 19.89/4.04 | | | (18), (19), (26), (28), (267), (274), (279) gives: % 19.89/4.04 | | | (311) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.04 | | | all_16_3 & set_intersection2(all_62_0, all_16_4) = v1 & % 19.89/4.04 | | | set_intersection2(all_62_1, all_16_5) = v0 & $i(v1) & $i(v0) & % 19.89/4.04 | | | $i(all_16_3)) % 19.89/4.04 | | | % 19.89/4.04 | | | GROUND_INST: instantiating (4) with all_62_1, all_62_1, all_62_0, % 19.89/4.04 | | | all_62_0, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.04 | | | (47), (267), (274), (279) gives: % 19.89/4.04 | | | (312) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.04 | | | all_16_3 & set_intersection2(all_62_0, all_62_0) = v1 & % 19.89/4.04 | | | set_intersection2(all_62_1, all_62_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.04 | | | $i(all_16_3)) % 19.89/4.04 | | | % 19.89/4.04 | | | GROUND_INST: instantiating (4) with all_58_1, all_62_1, all_58_0, % 19.89/4.04 | | | all_62_0, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.04 | | | (47), (267), (268), (269), (270), (274), (279) gives: % 19.89/4.04 | | | (313) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.04 | | | all_16_3 & set_intersection2(all_58_0, all_62_0) = v1 & % 19.89/4.04 | | | set_intersection2(all_58_1, all_62_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.04 | | | $i(all_16_3)) % 19.89/4.04 | | | % 19.89/4.04 | | | GROUND_INST: instantiating (4) with all_62_1, all_58_1, all_62_0, % 19.89/4.04 | | | all_58_0, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.04 | | | (47), (267), (268), (269), (270), (274), (279) gives: % 19.89/4.04 | | | (314) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.04 | | | all_16_3 & set_intersection2(all_62_0, all_58_0) = v1 & % 19.89/4.04 | | | set_intersection2(all_62_1, all_58_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.04 | | | $i(all_16_3)) % 19.89/4.04 | | | % 19.89/4.04 | | | GROUND_INST: instantiating (4) with all_54_1, all_62_1, all_54_0, % 19.89/4.04 | | | all_62_0, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.04 | | | (47), (107), (108), (111), (267), (274), (279) gives: % 19.89/4.04 | | | (315) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.04 | | | all_16_3 & set_intersection2(all_54_0, all_62_0) = v1 & % 19.89/4.04 | | | set_intersection2(all_54_1, all_62_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.04 | | | $i(all_16_3)) % 19.89/4.04 | | | % 19.89/4.04 | | | GROUND_INST: instantiating (4) with all_62_1, all_54_1, all_62_0, % 19.89/4.04 | | | all_54_0, all_16_3, all_16_3, all_16_3, simplifying with % 19.89/4.04 | | | (47), (107), (108), (111), (267), (274), (279) gives: % 19.89/4.04 | | | (316) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 19.89/4.04 | | | all_16_3 & set_intersection2(all_62_0, all_54_0) = v1 & % 19.89/4.04 | | | set_intersection2(all_62_1, all_54_1) = v0 & $i(v1) & $i(v0) & % 19.89/4.04 | | | $i(all_16_3)) % 19.89/4.04 | | | % 19.89/4.04 | | | DELTA: instantiating (294) with fresh symbols all_122_0, all_122_1 gives: % 19.89/4.04 | | | (317) cartesian_product2(all_30_1, all_30_0) = all_122_1 & % 19.89/4.04 | | | cartesian_product2(all_16_7, all_16_4) = all_122_0 & % 19.89/4.04 | | | set_intersection2(all_122_1, all_122_0) = all_16_3 & % 19.89/4.04 | | | $i(all_122_0) & $i(all_122_1) & $i(all_16_3) % 19.89/4.04 | | | % 19.89/4.04 | | | ALPHA: (317) implies: % 19.89/4.04 | | | (318) set_intersection2(all_122_1, all_122_0) = all_16_3 % 19.89/4.04 | | | (319) cartesian_product2(all_16_7, all_16_4) = all_122_0 % 19.89/4.04 | | | (320) cartesian_product2(all_30_1, all_30_0) = all_122_1 % 19.89/4.04 | | | % 19.89/4.04 | | | DELTA: instantiating (303) with fresh symbols all_124_0, all_124_1 gives: % 19.89/4.04 | | | (321) cartesian_product2(all_124_1, all_124_0) = all_16_3 & % 19.89/4.04 | | | set_intersection2(all_58_0, all_30_0) = all_124_0 & % 19.89/4.04 | | | set_intersection2(all_58_1, all_30_1) = all_124_1 & $i(all_124_0) % 19.89/4.04 | | | & $i(all_124_1) & $i(all_16_3) % 19.89/4.04 | | | % 19.89/4.04 | | | ALPHA: (321) implies: % 19.89/4.04 | | | (322) set_intersection2(all_58_1, all_30_1) = all_124_1 % 19.89/4.04 | | | (323) set_intersection2(all_58_0, all_30_0) = all_124_0 % 19.89/4.04 | | | % 19.89/4.04 | | | DELTA: instantiating (300) with fresh symbols all_126_0, all_126_1 gives: % 19.89/4.04 | | | (324) cartesian_product2(all_126_1, all_126_0) = all_16_3 & % 19.89/4.04 | | | set_intersection2(all_54_0, all_16_6) = all_126_0 & % 19.89/4.04 | | | set_intersection2(all_54_1, all_16_7) = all_126_1 & $i(all_126_0) % 19.89/4.04 | | | & $i(all_126_1) & $i(all_16_3) % 19.89/4.04 | | | % 19.89/4.04 | | | ALPHA: (324) implies: % 19.89/4.04 | | | (325) $i(all_126_1) % 19.89/4.04 | | | (326) $i(all_126_0) % 19.89/4.04 | | | (327) set_intersection2(all_54_1, all_16_7) = all_126_1 % 19.89/4.04 | | | (328) set_intersection2(all_54_0, all_16_6) = all_126_0 % 19.89/4.04 | | | % 19.89/4.04 | | | DELTA: instantiating (313) with fresh symbols all_130_0, all_130_1 gives: % 19.89/4.04 | | | (329) cartesian_product2(all_130_1, all_130_0) = all_16_3 & % 19.89/4.04 | | | set_intersection2(all_58_0, all_62_0) = all_130_0 & % 19.89/4.04 | | | set_intersection2(all_58_1, all_62_1) = all_130_1 & $i(all_130_0) % 19.89/4.04 | | | & $i(all_130_1) & $i(all_16_3) % 19.89/4.04 | | | % 19.89/4.04 | | | ALPHA: (329) implies: % 19.89/4.04 | | | (330) set_intersection2(all_58_1, all_62_1) = all_130_1 % 19.89/4.04 | | | (331) set_intersection2(all_58_0, all_62_0) = all_130_0 % 19.89/4.04 | | | % 19.89/4.04 | | | DELTA: instantiating (311) with fresh symbols all_132_0, all_132_1 gives: % 19.89/4.04 | | | (332) cartesian_product2(all_132_1, all_132_0) = all_16_3 & % 19.89/4.04 | | | set_intersection2(all_62_0, all_16_4) = all_132_0 & % 19.89/4.04 | | | set_intersection2(all_62_1, all_16_5) = all_132_1 & $i(all_132_0) % 19.89/4.04 | | | & $i(all_132_1) & $i(all_16_3) % 19.89/4.04 | | | % 19.89/4.04 | | | ALPHA: (332) implies: % 19.89/4.04 | | | (333) set_intersection2(all_62_1, all_16_5) = all_132_1 % 19.89/4.04 | | | (334) set_intersection2(all_62_0, all_16_4) = all_132_0 % 19.89/4.04 | | | % 19.89/4.04 | | | DELTA: instantiating (316) with fresh symbols all_134_0, all_134_1 gives: % 19.89/4.04 | | | (335) cartesian_product2(all_134_1, all_134_0) = all_16_3 & % 19.89/4.04 | | | set_intersection2(all_62_0, all_54_0) = all_134_0 & % 19.89/4.04 | | | set_intersection2(all_62_1, all_54_1) = all_134_1 & $i(all_134_0) % 19.89/4.04 | | | & $i(all_134_1) & $i(all_16_3) % 19.89/4.04 | | | % 19.89/4.04 | | | ALPHA: (335) implies: % 19.89/4.05 | | | (336) set_intersection2(all_62_1, all_54_1) = all_134_1 % 19.89/4.05 | | | (337) set_intersection2(all_62_0, all_54_0) = all_134_0 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (314) with fresh symbols all_136_0, all_136_1 gives: % 19.89/4.05 | | | (338) cartesian_product2(all_136_1, all_136_0) = all_16_3 & % 19.89/4.05 | | | set_intersection2(all_62_0, all_58_0) = all_136_0 & % 19.89/4.05 | | | set_intersection2(all_62_1, all_58_1) = all_136_1 & $i(all_136_0) % 19.89/4.05 | | | & $i(all_136_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (338) implies: % 19.89/4.05 | | | (339) set_intersection2(all_62_1, all_58_1) = all_136_1 % 19.89/4.05 | | | (340) set_intersection2(all_62_0, all_58_0) = all_136_0 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (310) with fresh symbols all_140_0, all_140_1 gives: % 19.89/4.05 | | | (341) cartesian_product2(all_140_1, all_140_0) = all_16_3 & % 19.89/4.05 | | | set_intersection2(all_16_4, all_62_0) = all_140_0 & % 19.89/4.05 | | | set_intersection2(all_16_5, all_62_1) = all_140_1 & $i(all_140_0) % 19.89/4.05 | | | & $i(all_140_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (341) implies: % 19.89/4.05 | | | (342) set_intersection2(all_16_5, all_62_1) = all_140_1 % 19.89/4.05 | | | (343) set_intersection2(all_16_4, all_62_0) = all_140_0 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (309) with fresh symbols all_144_0, all_144_1 gives: % 19.89/4.05 | | | (344) cartesian_product2(all_144_1, all_144_0) = all_16_3 & % 19.89/4.05 | | | set_intersection2(all_30_0, all_62_0) = all_144_0 & % 19.89/4.05 | | | set_intersection2(all_30_1, all_62_1) = all_144_1 & $i(all_144_0) % 19.89/4.05 | | | & $i(all_144_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (344) implies: % 19.89/4.05 | | | (345) $i(all_144_1) % 19.89/4.05 | | | (346) $i(all_144_0) % 19.89/4.05 | | | (347) set_intersection2(all_30_1, all_62_1) = all_144_1 % 19.89/4.05 | | | (348) set_intersection2(all_30_0, all_62_0) = all_144_0 % 19.89/4.05 | | | (349) cartesian_product2(all_144_1, all_144_0) = all_16_3 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (315) with fresh symbols all_146_0, all_146_1 gives: % 19.89/4.05 | | | (350) cartesian_product2(all_146_1, all_146_0) = all_16_3 & % 19.89/4.05 | | | set_intersection2(all_54_0, all_62_0) = all_146_0 & % 19.89/4.05 | | | set_intersection2(all_54_1, all_62_1) = all_146_1 & $i(all_146_0) % 19.89/4.05 | | | & $i(all_146_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (350) implies: % 19.89/4.05 | | | (351) set_intersection2(all_54_1, all_62_1) = all_146_1 % 19.89/4.05 | | | (352) set_intersection2(all_54_0, all_62_0) = all_146_0 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (312) with fresh symbols all_148_0, all_148_1 gives: % 19.89/4.05 | | | (353) cartesian_product2(all_148_1, all_148_0) = all_16_3 & % 19.89/4.05 | | | set_intersection2(all_62_0, all_62_0) = all_148_0 & % 19.89/4.05 | | | set_intersection2(all_62_1, all_62_1) = all_148_1 & $i(all_148_0) % 19.89/4.05 | | | & $i(all_148_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (353) implies: % 19.89/4.05 | | | (354) set_intersection2(all_62_1, all_62_1) = all_148_1 % 19.89/4.05 | | | (355) set_intersection2(all_62_0, all_62_0) = all_148_0 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (299) with fresh symbols all_154_0, all_154_1 gives: % 19.89/4.05 | | | (356) cartesian_product2(all_154_1, all_154_0) = all_16_3 & % 19.89/4.05 | | | set_intersection2(all_16_6, all_54_0) = all_154_0 & % 19.89/4.05 | | | set_intersection2(all_16_7, all_54_1) = all_154_1 & $i(all_154_0) % 19.89/4.05 | | | & $i(all_154_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (356) implies: % 19.89/4.05 | | | (357) set_intersection2(all_16_7, all_54_1) = all_154_1 % 19.89/4.05 | | | (358) set_intersection2(all_16_6, all_54_0) = all_154_0 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (290) with fresh symbols all_156_0, all_156_1 gives: % 19.89/4.05 | | | (359) cartesian_product2(all_16_5, all_16_6) = all_156_0 & % 19.89/4.05 | | | cartesian_product2(all_16_7, all_30_0) = all_156_1 & % 19.89/4.05 | | | set_intersection2(all_156_1, all_156_0) = all_16_3 & % 19.89/4.05 | | | $i(all_156_0) & $i(all_156_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (359) implies: % 19.89/4.05 | | | (360) cartesian_product2(all_16_5, all_16_6) = all_156_0 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (289) with fresh symbols all_158_0, all_158_1 gives: % 19.89/4.05 | | | (361) cartesian_product2(all_16_5, all_30_0) = all_158_1 & % 19.89/4.05 | | | cartesian_product2(all_16_7, all_16_6) = all_158_0 & % 19.89/4.05 | | | set_intersection2(all_158_1, all_158_0) = all_16_3 & % 19.89/4.05 | | | $i(all_158_0) & $i(all_158_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (361) implies: % 19.89/4.05 | | | (362) cartesian_product2(all_16_7, all_16_6) = all_158_0 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (308) with fresh symbols all_160_0, all_160_1 gives: % 19.89/4.05 | | | (363) cartesian_product2(all_160_1, all_160_0) = all_16_3 & % 19.89/4.05 | | | set_intersection2(all_58_0, all_54_0) = all_160_0 & % 19.89/4.05 | | | set_intersection2(all_58_1, all_54_1) = all_160_1 & $i(all_160_0) % 19.89/4.05 | | | & $i(all_160_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (363) implies: % 19.89/4.05 | | | (364) set_intersection2(all_58_1, all_54_1) = all_160_1 % 19.89/4.05 | | | (365) set_intersection2(all_58_0, all_54_0) = all_160_0 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (307) with fresh symbols all_164_0, all_164_1 gives: % 19.89/4.05 | | | (366) cartesian_product2(all_164_1, all_164_0) = all_16_3 & % 19.89/4.05 | | | set_intersection2(all_58_0, all_58_0) = all_164_0 & % 19.89/4.05 | | | set_intersection2(all_58_1, all_58_1) = all_164_1 & $i(all_164_0) % 19.89/4.05 | | | & $i(all_164_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (366) implies: % 19.89/4.05 | | | (367) set_intersection2(all_58_1, all_58_1) = all_164_1 % 19.89/4.05 | | | (368) set_intersection2(all_58_0, all_58_0) = all_164_0 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (302) with fresh symbols all_166_0, all_166_1 gives: % 19.89/4.05 | | | (369) cartesian_product2(all_166_1, all_166_0) = all_16_3 & % 19.89/4.05 | | | set_intersection2(all_30_0, all_58_0) = all_166_0 & % 19.89/4.05 | | | set_intersection2(all_30_1, all_58_1) = all_166_1 & $i(all_166_0) % 19.89/4.05 | | | & $i(all_166_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (369) implies: % 19.89/4.05 | | | (370) set_intersection2(all_30_1, all_58_1) = all_166_1 % 19.89/4.05 | | | (371) set_intersection2(all_30_0, all_58_0) = all_166_0 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (293) with fresh symbols all_168_0, all_168_1 gives: % 19.89/4.05 | | | (372) cartesian_product2(all_16_5, all_30_0) = all_168_1 & % 19.89/4.05 | | | cartesian_product2(all_16_7, all_16_4) = all_168_0 & % 19.89/4.05 | | | set_intersection2(all_168_1, all_168_0) = all_16_3 & % 19.89/4.05 | | | $i(all_168_0) & $i(all_168_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (372) implies: % 19.89/4.05 | | | (373) cartesian_product2(all_16_7, all_16_4) = all_168_0 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (301) with fresh symbols all_170_0, all_170_1 gives: % 19.89/4.05 | | | (374) cartesian_product2(all_170_1, all_170_0) = all_16_3 & % 19.89/4.05 | | | set_intersection2(all_54_0, all_54_0) = all_170_0 & % 19.89/4.05 | | | set_intersection2(all_54_1, all_54_1) = all_170_1 & $i(all_170_0) % 19.89/4.05 | | | & $i(all_170_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (374) implies: % 19.89/4.05 | | | (375) set_intersection2(all_54_1, all_54_1) = all_170_1 % 19.89/4.05 | | | (376) set_intersection2(all_54_0, all_54_0) = all_170_0 % 19.89/4.05 | | | % 19.89/4.05 | | | DELTA: instantiating (298) with fresh symbols all_172_0, all_172_1 gives: % 19.89/4.05 | | | (377) cartesian_product2(all_172_1, all_172_0) = all_16_3 & % 19.89/4.05 | | | set_intersection2(all_54_0, all_16_4) = all_172_0 & % 19.89/4.05 | | | set_intersection2(all_54_1, all_16_5) = all_172_1 & $i(all_172_0) % 19.89/4.05 | | | & $i(all_172_1) & $i(all_16_3) % 19.89/4.05 | | | % 19.89/4.05 | | | ALPHA: (377) implies: % 19.89/4.05 | | | (378) set_intersection2(all_54_1, all_16_5) = all_172_1 % 19.89/4.06 | | | (379) set_intersection2(all_54_0, all_16_4) = all_172_0 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (297) with fresh symbols all_174_0, all_174_1 gives: % 19.89/4.06 | | | (380) cartesian_product2(all_174_1, all_174_0) = all_16_3 & % 19.89/4.06 | | | set_intersection2(all_16_4, all_54_0) = all_174_0 & % 19.89/4.06 | | | set_intersection2(all_16_5, all_54_1) = all_174_1 & $i(all_174_0) % 19.89/4.06 | | | & $i(all_174_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (380) implies: % 19.89/4.06 | | | (381) set_intersection2(all_16_4, all_54_0) = all_174_0 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (292) with fresh symbols all_178_0, all_178_1 gives: % 19.89/4.06 | | | (382) cartesian_product2(all_30_1, all_16_6) = all_178_0 & % 19.89/4.06 | | | cartesian_product2(all_16_5, all_30_0) = all_178_1 & % 19.89/4.06 | | | set_intersection2(all_178_1, all_178_0) = all_16_3 & % 19.89/4.06 | | | $i(all_178_0) & $i(all_178_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (382) implies: % 19.89/4.06 | | | (383) cartesian_product2(all_30_1, all_16_6) = all_178_0 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (291) with fresh symbols all_180_0, all_180_1 gives: % 19.89/4.06 | | | (384) cartesian_product2(all_30_1, all_30_0) = all_180_1 & % 19.89/4.06 | | | cartesian_product2(all_16_5, all_16_6) = all_180_0 & % 19.89/4.06 | | | set_intersection2(all_180_1, all_180_0) = all_16_3 & % 19.89/4.06 | | | $i(all_180_0) & $i(all_180_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (384) implies: % 19.89/4.06 | | | (385) set_intersection2(all_180_1, all_180_0) = all_16_3 % 19.89/4.06 | | | (386) cartesian_product2(all_16_5, all_16_6) = all_180_0 % 19.89/4.06 | | | (387) cartesian_product2(all_30_1, all_30_0) = all_180_1 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (287) with fresh symbols all_182_0, all_182_1 gives: % 19.89/4.06 | | | (388) cartesian_product2(all_30_1, all_16_6) = all_182_1 & % 19.89/4.06 | | | cartesian_product2(all_16_5, all_16_4) = all_182_0 & % 19.89/4.06 | | | set_intersection2(all_182_1, all_182_0) = all_16_3 & % 19.89/4.06 | | | $i(all_182_0) & $i(all_182_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (388) implies: % 19.89/4.06 | | | (389) cartesian_product2(all_30_1, all_16_6) = all_182_1 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (283) with fresh symbols all_184_0, all_184_1 gives: % 19.89/4.06 | | | (390) cartesian_product2(all_16_5, all_30_0) = all_184_0 & % 19.89/4.06 | | | cartesian_product2(all_16_7, all_16_4) = all_184_1 & % 19.89/4.06 | | | set_intersection2(all_184_1, all_184_0) = all_16_3 & % 19.89/4.06 | | | $i(all_184_0) & $i(all_184_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (390) implies: % 19.89/4.06 | | | (391) cartesian_product2(all_16_7, all_16_4) = all_184_1 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (282) with fresh symbols all_188_0, all_188_1 gives: % 19.89/4.06 | | | (392) cartesian_product2(all_30_1, all_16_4) = all_188_0 & % 19.89/4.06 | | | cartesian_product2(all_16_5, all_16_6) = all_188_1 & % 19.89/4.06 | | | set_intersection2(all_188_1, all_188_0) = all_16_3 & % 19.89/4.06 | | | $i(all_188_0) & $i(all_188_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (392) implies: % 19.89/4.06 | | | (393) cartesian_product2(all_16_5, all_16_6) = all_188_1 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (281) with fresh symbols all_192_0, all_192_1 gives: % 19.89/4.06 | | | (394) cartesian_product2(all_30_1, all_16_6) = all_192_0 & % 19.89/4.06 | | | cartesian_product2(all_16_5, all_16_4) = all_192_1 & % 19.89/4.06 | | | set_intersection2(all_192_1, all_192_0) = all_16_3 & % 19.89/4.06 | | | $i(all_192_0) & $i(all_192_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (394) implies: % 19.89/4.06 | | | (395) cartesian_product2(all_30_1, all_16_6) = all_192_0 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (286) with fresh symbols all_194_0, all_194_1 gives: % 19.89/4.06 | | | (396) cartesian_product2(all_30_1, all_16_4) = all_194_1 & % 19.89/4.06 | | | cartesian_product2(all_16_5, all_16_6) = all_194_0 & % 19.89/4.06 | | | set_intersection2(all_194_1, all_194_0) = all_16_3 & % 19.89/4.06 | | | $i(all_194_0) & $i(all_194_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (396) implies: % 19.89/4.06 | | | (397) cartesian_product2(all_16_5, all_16_6) = all_194_0 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (296) with fresh symbols all_196_0, all_196_1 gives: % 19.89/4.06 | | | (398) cartesian_product2(all_196_1, all_196_0) = all_16_3 & % 19.89/4.06 | | | set_intersection2(all_30_0, all_54_0) = all_196_0 & % 19.89/4.06 | | | set_intersection2(all_30_1, all_54_1) = all_196_1 & $i(all_196_0) % 19.89/4.06 | | | & $i(all_196_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (398) implies: % 19.89/4.06 | | | (399) set_intersection2(all_30_1, all_54_1) = all_196_1 % 19.89/4.06 | | | (400) set_intersection2(all_30_0, all_54_0) = all_196_0 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (306) with fresh symbols all_198_0, all_198_1 gives: % 19.89/4.06 | | | (401) cartesian_product2(all_198_1, all_198_0) = all_16_3 & % 19.89/4.06 | | | set_intersection2(all_58_0, all_16_6) = all_198_0 & % 19.89/4.06 | | | set_intersection2(all_58_1, all_16_7) = all_198_1 & $i(all_198_0) % 19.89/4.06 | | | & $i(all_198_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (401) implies: % 19.89/4.06 | | | (402) set_intersection2(all_58_1, all_16_7) = all_198_1 % 19.89/4.06 | | | (403) set_intersection2(all_58_0, all_16_6) = all_198_0 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (285) with fresh symbols all_200_0, all_200_1 gives: % 19.89/4.06 | | | (404) cartesian_product2(all_30_1, all_16_6) = all_200_1 & % 19.89/4.06 | | | cartesian_product2(all_16_7, all_16_4) = all_200_0 & % 19.89/4.06 | | | set_intersection2(all_200_1, all_200_0) = all_16_3 & % 19.89/4.06 | | | $i(all_200_0) & $i(all_200_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (404) implies: % 19.89/4.06 | | | (405) cartesian_product2(all_16_7, all_16_4) = all_200_0 % 19.89/4.06 | | | (406) cartesian_product2(all_30_1, all_16_6) = all_200_1 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (284) with fresh symbols all_202_0, all_202_1 gives: % 19.89/4.06 | | | (407) cartesian_product2(all_30_1, all_16_4) = all_202_1 & % 19.89/4.06 | | | cartesian_product2(all_16_7, all_16_6) = all_202_0 & % 19.89/4.06 | | | set_intersection2(all_202_1, all_202_0) = all_16_3 & % 19.89/4.06 | | | $i(all_202_0) & $i(all_202_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (407) implies: % 19.89/4.06 | | | (408) cartesian_product2(all_16_7, all_16_6) = all_202_0 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (304) with fresh symbols all_206_0, all_206_1 gives: % 19.89/4.06 | | | (409) cartesian_product2(all_206_1, all_206_0) = all_16_3 & % 19.89/4.06 | | | set_intersection2(all_16_4, all_58_0) = all_206_0 & % 19.89/4.06 | | | set_intersection2(all_16_5, all_58_1) = all_206_1 & $i(all_206_0) % 19.89/4.06 | | | & $i(all_206_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (409) implies: % 19.89/4.06 | | | (410) set_intersection2(all_16_5, all_58_1) = all_206_1 % 19.89/4.06 | | | (411) set_intersection2(all_16_4, all_58_0) = all_206_0 % 19.89/4.06 | | | % 19.89/4.06 | | | DELTA: instantiating (305) with fresh symbols all_208_0, all_208_1 gives: % 19.89/4.06 | | | (412) cartesian_product2(all_208_1, all_208_0) = all_16_3 & % 19.89/4.06 | | | set_intersection2(all_58_0, all_16_4) = all_208_0 & % 19.89/4.06 | | | set_intersection2(all_58_1, all_16_5) = all_208_1 & $i(all_208_0) % 19.89/4.06 | | | & $i(all_208_1) & $i(all_16_3) % 19.89/4.06 | | | % 19.89/4.06 | | | ALPHA: (412) implies: % 19.89/4.06 | | | (413) set_intersection2(all_58_1, all_16_5) = all_208_1 % 19.89/4.06 | | | (414) set_intersection2(all_58_0, all_16_4) = all_208_0 % 19.89/4.06 | | | % 19.89/4.06 | | | REDUCE: (295), (340) imply: % 19.89/4.06 | | | (415) set_intersection2(all_62_0, all_30_0) = all_136_0 % 19.89/4.06 | | | % 19.89/4.06 | | | REDUCE: (276), (337) imply: % 19.89/4.06 | | | (416) set_intersection2(all_62_0, all_16_6) = all_134_0 % 19.89/4.06 | | | % 19.89/4.06 | | | REDUCE: (288), (339) imply: % 19.89/4.06 | | | (417) set_intersection2(all_62_1, all_30_1) = all_136_1 % 19.89/4.06 | | | % 19.89/4.07 | | | REDUCE: (271), (336) imply: % 19.89/4.07 | | | (418) set_intersection2(all_62_1, all_16_7) = all_134_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (295), (331) imply: % 19.89/4.07 | | | (419) set_intersection2(all_30_0, all_62_0) = all_130_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (295), (368) imply: % 19.89/4.07 | | | (420) set_intersection2(all_30_0, all_30_0) = all_164_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (276), (295), (365) imply: % 19.89/4.07 | | | (421) set_intersection2(all_30_0, all_16_6) = all_160_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (295), (323) imply: % 19.89/4.07 | | | (422) set_intersection2(all_30_0, all_30_0) = all_124_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (295), (414) imply: % 19.89/4.07 | | | (423) set_intersection2(all_30_0, all_16_4) = all_208_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (295), (403) imply: % 19.89/4.07 | | | (424) set_intersection2(all_30_0, all_16_6) = all_198_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (288), (330) imply: % 19.89/4.07 | | | (425) set_intersection2(all_30_1, all_62_1) = all_130_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (288), (367) imply: % 19.89/4.07 | | | (426) set_intersection2(all_30_1, all_30_1) = all_164_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (271), (288), (364) imply: % 19.89/4.07 | | | (427) set_intersection2(all_30_1, all_16_7) = all_160_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (288), (322) imply: % 19.89/4.07 | | | (428) set_intersection2(all_30_1, all_30_1) = all_124_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (288), (413) imply: % 19.89/4.07 | | | (429) set_intersection2(all_30_1, all_16_5) = all_208_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (288), (402) imply: % 19.89/4.07 | | | (430) set_intersection2(all_30_1, all_16_7) = all_198_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (276), (352) imply: % 19.89/4.07 | | | (431) set_intersection2(all_16_6, all_62_0) = all_146_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (276), (376) imply: % 19.89/4.07 | | | (432) set_intersection2(all_16_6, all_16_6) = all_170_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (276), (379) imply: % 19.89/4.07 | | | (433) set_intersection2(all_16_6, all_16_4) = all_172_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (276), (328) imply: % 19.89/4.07 | | | (434) set_intersection2(all_16_6, all_16_6) = all_126_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (271), (351) imply: % 19.89/4.07 | | | (435) set_intersection2(all_16_7, all_62_1) = all_146_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (271), (375) imply: % 19.89/4.07 | | | (436) set_intersection2(all_16_7, all_16_7) = all_170_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (271), (378) imply: % 19.89/4.07 | | | (437) set_intersection2(all_16_7, all_16_5) = all_172_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (271), (327) imply: % 19.89/4.07 | | | (438) set_intersection2(all_16_7, all_16_7) = all_126_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (295), (371) imply: % 19.89/4.07 | | | (439) set_intersection2(all_30_0, all_30_0) = all_166_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (276), (400) imply: % 19.89/4.07 | | | (440) set_intersection2(all_30_0, all_16_6) = all_196_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (235), (295) imply: % 19.89/4.07 | | | (441) set_intersection2(all_30_0, all_30_0) = all_30_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (288), (370) imply: % 19.89/4.07 | | | (442) set_intersection2(all_30_1, all_30_1) = all_166_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (271), (399) imply: % 19.89/4.07 | | | (443) set_intersection2(all_30_1, all_16_7) = all_196_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (236), (288) imply: % 19.89/4.07 | | | (444) set_intersection2(all_30_1, all_30_1) = all_30_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (295), (411) imply: % 19.89/4.07 | | | (445) set_intersection2(all_16_4, all_30_0) = all_206_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (276), (381) imply: % 19.89/4.07 | | | (446) set_intersection2(all_16_4, all_16_6) = all_174_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (288), (410) imply: % 19.89/4.07 | | | (447) set_intersection2(all_16_5, all_30_1) = all_206_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (276), (358) imply: % 19.89/4.07 | | | (448) set_intersection2(all_16_6, all_16_6) = all_154_0 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (110), (276) imply: % 19.89/4.07 | | | (449) set_intersection2(all_16_6, all_16_6) = all_16_6 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (271), (357) imply: % 19.89/4.07 | | | (450) set_intersection2(all_16_7, all_16_7) = all_154_1 % 19.89/4.07 | | | % 19.89/4.07 | | | REDUCE: (109), (271) imply: % 19.89/4.07 | | | (451) set_intersection2(all_16_7, all_16_7) = all_16_7 % 19.89/4.07 | | | % 19.89/4.07 | | | GROUND_INST: instantiating (11) with all_16_7, all_154_1, all_16_7, % 19.89/4.07 | | | all_16_7, simplifying with (450), (451) gives: % 19.89/4.07 | | | (452) all_154_1 = all_16_7 % 19.89/4.07 | | | % 19.89/4.07 | | | GROUND_INST: instantiating (11) with all_154_1, all_170_1, all_16_7, % 19.89/4.07 | | | all_16_7, simplifying with (436), (450) gives: % 19.89/4.07 | | | (453) all_170_1 = all_154_1 % 19.89/4.07 | | | % 19.89/4.07 | | | GROUND_INST: instantiating (11) with all_126_1, all_170_1, all_16_7, % 19.89/4.07 | | | all_16_7, simplifying with (436), (438) gives: % 19.89/4.07 | | | (454) all_170_1 = all_126_1 % 19.89/4.07 | | | % 20.34/4.07 | | | GROUND_INST: instantiating (11) with all_30_1, all_172_1, all_16_5, % 20.34/4.07 | | | all_16_7, simplifying with (33), (437) gives: % 20.34/4.07 | | | (455) all_172_1 = all_30_1 % 20.34/4.07 | | | % 20.34/4.07 | | | GROUND_INST: instantiating (11) with all_16_6, all_154_0, all_16_6, % 20.34/4.07 | | | all_16_6, simplifying with (448), (449) gives: % 20.34/4.07 | | | (456) all_154_0 = all_16_6 % 20.34/4.07 | | | % 20.34/4.07 | | | GROUND_INST: instantiating (11) with all_154_0, all_170_0, all_16_6, % 20.34/4.07 | | | all_16_6, simplifying with (432), (448) gives: % 20.34/4.07 | | | (457) all_170_0 = all_154_0 % 20.34/4.07 | | | % 20.34/4.07 | | | GROUND_INST: instantiating (11) with all_126_0, all_170_0, all_16_6, % 20.34/4.07 | | | all_16_6, simplifying with (432), (434) gives: % 20.34/4.07 | | | (458) all_170_0 = all_126_0 % 20.34/4.07 | | | % 20.34/4.07 | | | GROUND_INST: instantiating (11) with all_30_0, all_172_0, all_16_4, % 20.34/4.07 | | | all_16_6, simplifying with (34), (433) gives: % 20.34/4.07 | | | (459) all_172_0 = all_30_0 % 20.34/4.07 | | | % 20.34/4.07 | | | GROUND_INST: instantiating (11) with all_30_1, all_206_1, all_30_1, % 20.34/4.07 | | | all_16_5, simplifying with (240), (447) gives: % 20.34/4.07 | | | (460) all_206_1 = all_30_1 % 20.34/4.07 | | | % 20.34/4.07 | | | GROUND_INST: instantiating (11) with all_30_0, all_174_0, all_16_6, % 20.34/4.07 | | | all_16_4, simplifying with (44), (446) gives: % 20.34/4.07 | | | (461) all_174_0 = all_30_0 % 20.34/4.07 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_30_0, all_206_0, all_30_0, % 20.34/4.08 | | | all_16_4, simplifying with (238), (445) gives: % 20.34/4.08 | | | (462) all_206_0 = all_30_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_30_1, all_160_1, all_16_7, % 20.34/4.08 | | | all_30_1, simplifying with (91), (427) gives: % 20.34/4.08 | | | (463) all_160_1 = all_30_1 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_160_1, all_196_1, all_16_7, % 20.34/4.08 | | | all_30_1, simplifying with (427), (443) gives: % 20.34/4.08 | | | (464) all_196_1 = all_160_1 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_196_1, all_198_1, all_16_7, % 20.34/4.08 | | | all_30_1, simplifying with (430), (443) gives: % 20.34/4.08 | | | (465) all_198_1 = all_196_1 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_62_1, all_198_1, all_16_7, % 20.34/4.08 | | | all_30_1, simplifying with (275), (430) gives: % 20.34/4.08 | | | (466) all_198_1 = all_62_1 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_30_1, all_208_1, all_16_5, % 20.34/4.08 | | | all_30_1, simplifying with (191), (429) gives: % 20.34/4.08 | | | (467) all_208_1 = all_30_1 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_30_1, all_164_1, all_30_1, % 20.34/4.08 | | | all_30_1, simplifying with (426), (444) gives: % 20.34/4.08 | | | (468) all_164_1 = all_30_1 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_164_1, all_166_1, all_30_1, % 20.34/4.08 | | | all_30_1, simplifying with (426), (442) gives: % 20.34/4.08 | | | (469) all_166_1 = all_164_1 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_124_1, all_166_1, all_30_1, % 20.34/4.08 | | | all_30_1, simplifying with (428), (442) gives: % 20.34/4.08 | | | (470) all_166_1 = all_124_1 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_130_1, all_144_1, all_62_1, % 20.34/4.08 | | | all_30_1, simplifying with (347), (425) gives: % 20.34/4.08 | | | (471) all_144_1 = all_130_1 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_30_0, all_160_0, all_16_6, % 20.34/4.08 | | | all_30_0, simplifying with (92), (421) gives: % 20.34/4.08 | | | (472) all_160_0 = all_30_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_160_0, all_196_0, all_16_6, % 20.34/4.08 | | | all_30_0, simplifying with (421), (440) gives: % 20.34/4.08 | | | (473) all_196_0 = all_160_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_196_0, all_198_0, all_16_6, % 20.34/4.08 | | | all_30_0, simplifying with (424), (440) gives: % 20.34/4.08 | | | (474) all_198_0 = all_196_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_62_0, all_198_0, all_16_6, % 20.34/4.08 | | | all_30_0, simplifying with (280), (424) gives: % 20.34/4.08 | | | (475) all_198_0 = all_62_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_30_0, all_208_0, all_16_4, % 20.34/4.08 | | | all_30_0, simplifying with (181), (423) gives: % 20.34/4.08 | | | (476) all_208_0 = all_30_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_30_0, all_164_0, all_30_0, % 20.34/4.08 | | | all_30_0, simplifying with (420), (441) gives: % 20.34/4.08 | | | (477) all_164_0 = all_30_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_164_0, all_166_0, all_30_0, % 20.34/4.08 | | | all_30_0, simplifying with (420), (439) gives: % 20.34/4.08 | | | (478) all_166_0 = all_164_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_124_0, all_166_0, all_30_0, % 20.34/4.08 | | | all_30_0, simplifying with (422), (439) gives: % 20.34/4.08 | | | (479) all_166_0 = all_124_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (11) with all_130_0, all_144_0, all_62_0, % 20.34/4.08 | | | all_30_0, simplifying with (348), (419) gives: % 20.34/4.08 | | | (480) all_144_0 = all_130_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_16_3, all_202_0, all_16_6, % 20.34/4.08 | | | all_16_7, simplifying with (25), (408) gives: % 20.34/4.08 | | | (481) all_202_0 = all_16_3 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_158_0, all_202_0, all_16_6, % 20.34/4.08 | | | all_16_7, simplifying with (362), (408) gives: % 20.34/4.08 | | | (482) all_202_0 = all_158_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_122_0, all_168_0, all_16_4, % 20.34/4.08 | | | all_16_7, simplifying with (319), (373) gives: % 20.34/4.08 | | | (483) all_168_0 = all_122_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_64_0, all_200_0, all_16_4, % 20.34/4.08 | | | all_16_7, simplifying with (125), (405) gives: % 20.34/4.08 | | | (484) all_200_0 = all_64_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_184_1, all_200_0, all_16_4, % 20.34/4.08 | | | all_16_7, simplifying with (391), (405) gives: % 20.34/4.08 | | | (485) all_200_0 = all_184_1 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_168_0, all_200_0, all_16_4, % 20.34/4.08 | | | all_16_7, simplifying with (373), (405) gives: % 20.34/4.08 | | | (486) all_200_0 = all_168_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_64_1, all_194_0, all_16_6, % 20.34/4.08 | | | all_16_5, simplifying with (126), (397) gives: % 20.34/4.08 | | | (487) all_194_0 = all_64_1 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_188_1, all_194_0, all_16_6, % 20.34/4.08 | | | all_16_5, simplifying with (393), (397) gives: % 20.34/4.08 | | | (488) all_194_0 = all_188_1 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_180_0, all_194_0, all_16_6, % 20.34/4.08 | | | all_16_5, simplifying with (386), (397) gives: % 20.34/4.08 | | | (489) all_194_0 = all_180_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_156_0, all_194_0, all_16_6, % 20.34/4.08 | | | all_16_5, simplifying with (360), (397) gives: % 20.34/4.08 | | | (490) all_194_0 = all_156_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_182_1, all_192_0, all_16_6, % 20.34/4.08 | | | all_30_1, simplifying with (389), (395) gives: % 20.34/4.08 | | | (491) all_192_0 = all_182_1 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_192_0, all_200_1, all_16_6, % 20.34/4.08 | | | all_30_1, simplifying with (395), (406) gives: % 20.34/4.08 | | | (492) all_200_1 = all_192_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_178_0, all_200_1, all_16_6, % 20.34/4.08 | | | all_30_1, simplifying with (383), (406) gives: % 20.34/4.08 | | | (493) all_200_1 = all_178_0 % 20.34/4.08 | | | % 20.34/4.08 | | | GROUND_INST: instantiating (13) with all_16_3, all_180_1, all_30_0, % 20.34/4.08 | | | all_30_1, simplifying with (35), (387) gives: % 20.34/4.08 | | | (494) all_180_1 = all_16_3 % 20.34/4.08 | | | % 20.34/4.09 | | | GROUND_INST: instantiating (13) with all_122_1, all_180_1, all_30_0, % 20.34/4.09 | | | all_30_1, simplifying with (320), (387) gives: % 20.34/4.09 | | | (495) all_180_1 = all_122_1 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (481), (482) imply: % 20.34/4.09 | | | (496) all_158_0 = all_16_3 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (484), (485) imply: % 20.34/4.09 | | | (497) all_184_1 = all_64_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (485), (486) imply: % 20.34/4.09 | | | (498) all_184_1 = all_168_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (492), (493) imply: % 20.34/4.09 | | | (499) all_192_0 = all_178_0 % 20.34/4.09 | | | % 20.34/4.09 | | | SIMP: (499) implies: % 20.34/4.09 | | | (500) all_192_0 = all_178_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (474), (475) imply: % 20.34/4.09 | | | (501) all_196_0 = all_62_0 % 20.34/4.09 | | | % 20.34/4.09 | | | SIMP: (501) implies: % 20.34/4.09 | | | (502) all_196_0 = all_62_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (465), (466) imply: % 20.34/4.09 | | | (503) all_196_1 = all_62_1 % 20.34/4.09 | | | % 20.34/4.09 | | | SIMP: (503) implies: % 20.34/4.09 | | | (504) all_196_1 = all_62_1 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (473), (502) imply: % 20.34/4.09 | | | (505) all_160_0 = all_62_0 % 20.34/4.09 | | | % 20.34/4.09 | | | SIMP: (505) implies: % 20.34/4.09 | | | (506) all_160_0 = all_62_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (464), (504) imply: % 20.34/4.09 | | | (507) all_160_1 = all_62_1 % 20.34/4.09 | | | % 20.34/4.09 | | | SIMP: (507) implies: % 20.34/4.09 | | | (508) all_160_1 = all_62_1 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (488), (489) imply: % 20.34/4.09 | | | (509) all_188_1 = all_180_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (488), (490) imply: % 20.34/4.09 | | | (510) all_188_1 = all_156_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (487), (488) imply: % 20.34/4.09 | | | (511) all_188_1 = all_64_1 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (491), (500) imply: % 20.34/4.09 | | | (512) all_182_1 = all_178_0 % 20.34/4.09 | | | % 20.34/4.09 | | | SIMP: (512) implies: % 20.34/4.09 | | | (513) all_182_1 = all_178_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (509), (510) imply: % 20.34/4.09 | | | (514) all_180_0 = all_156_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (509), (511) imply: % 20.34/4.09 | | | (515) all_180_0 = all_64_1 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (497), (498) imply: % 20.34/4.09 | | | (516) all_168_0 = all_64_0 % 20.34/4.09 | | | % 20.34/4.09 | | | SIMP: (516) implies: % 20.34/4.09 | | | (517) all_168_0 = all_64_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (514), (515) imply: % 20.34/4.09 | | | (518) all_156_0 = all_64_1 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (494), (495) imply: % 20.34/4.09 | | | (519) all_122_1 = all_16_3 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (457), (458) imply: % 20.34/4.09 | | | (520) all_154_0 = all_126_0 % 20.34/4.09 | | | % 20.34/4.09 | | | SIMP: (520) implies: % 20.34/4.09 | | | (521) all_154_0 = all_126_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (453), (454) imply: % 20.34/4.09 | | | (522) all_154_1 = all_126_1 % 20.34/4.09 | | | % 20.34/4.09 | | | SIMP: (522) implies: % 20.34/4.09 | | | (523) all_154_1 = all_126_1 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (483), (517) imply: % 20.34/4.09 | | | (524) all_122_0 = all_64_0 % 20.34/4.09 | | | % 20.34/4.09 | | | SIMP: (524) implies: % 20.34/4.09 | | | (525) all_122_0 = all_64_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (478), (479) imply: % 20.34/4.09 | | | (526) all_164_0 = all_124_0 % 20.34/4.09 | | | % 20.34/4.09 | | | SIMP: (526) implies: % 20.34/4.09 | | | (527) all_164_0 = all_124_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (469), (470) imply: % 20.34/4.09 | | | (528) all_164_1 = all_124_1 % 20.34/4.09 | | | % 20.34/4.09 | | | SIMP: (528) implies: % 20.34/4.09 | | | (529) all_164_1 = all_124_1 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (477), (527) imply: % 20.34/4.09 | | | (530) all_124_0 = all_30_0 % 20.34/4.09 | | | % 20.34/4.09 | | | SIMP: (530) implies: % 20.34/4.09 | | | (531) all_124_0 = all_30_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (468), (529) imply: % 20.34/4.09 | | | (532) all_124_1 = all_30_1 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (472), (506) imply: % 20.34/4.09 | | | (533) all_62_0 = all_30_0 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (463), (508) imply: % 20.34/4.09 | | | (534) all_62_1 = all_30_1 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (456), (521) imply: % 20.34/4.09 | | | (535) all_126_0 = all_16_6 % 20.34/4.09 | | | % 20.34/4.09 | | | COMBINE_EQS: (452), (523) imply: % 20.34/4.09 | | | (536) all_126_1 = all_16_7 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (349), (471), (480) imply: % 20.34/4.09 | | | (537) cartesian_product2(all_130_1, all_130_0) = all_16_3 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (385), (494), (515) imply: % 20.34/4.09 | | | (538) set_intersection2(all_16_3, all_64_1) = all_16_3 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (318), (519), (525) imply: % 20.34/4.09 | | | (539) set_intersection2(all_16_3, all_64_0) = all_16_3 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (355), (533) imply: % 20.34/4.09 | | | (540) set_intersection2(all_30_0, all_30_0) = all_148_0 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (415), (533) imply: % 20.34/4.09 | | | (541) set_intersection2(all_30_0, all_30_0) = all_136_0 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (334), (533) imply: % 20.34/4.09 | | | (542) set_intersection2(all_30_0, all_16_4) = all_132_0 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (416), (533) imply: % 20.34/4.09 | | | (543) set_intersection2(all_30_0, all_16_6) = all_134_0 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (354), (534) imply: % 20.34/4.09 | | | (544) set_intersection2(all_30_1, all_30_1) = all_148_1 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (417), (534) imply: % 20.34/4.09 | | | (545) set_intersection2(all_30_1, all_30_1) = all_136_1 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (333), (534) imply: % 20.34/4.09 | | | (546) set_intersection2(all_30_1, all_16_5) = all_132_1 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (418), (534) imply: % 20.34/4.09 | | | (547) set_intersection2(all_30_1, all_16_7) = all_134_1 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (419), (533) imply: % 20.34/4.09 | | | (548) set_intersection2(all_30_0, all_30_0) = all_130_0 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (425), (534) imply: % 20.34/4.09 | | | (549) set_intersection2(all_30_1, all_30_1) = all_130_1 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (343), (533) imply: % 20.34/4.09 | | | (550) set_intersection2(all_16_4, all_30_0) = all_140_0 % 20.34/4.09 | | | % 20.34/4.09 | | | REDUCE: (342), (534) imply: % 20.34/4.10 | | | (551) set_intersection2(all_16_5, all_30_1) = all_140_1 % 20.34/4.10 | | | % 20.34/4.10 | | | REDUCE: (431), (533) imply: % 20.34/4.10 | | | (552) set_intersection2(all_16_6, all_30_0) = all_146_0 % 20.34/4.10 | | | % 20.34/4.10 | | | REDUCE: (123), (533) imply: % 20.34/4.10 | | | (553) set_intersection2(all_16_6, all_30_0) = all_30_0 % 20.34/4.10 | | | % 20.34/4.10 | | | REDUCE: (435), (534) imply: % 20.34/4.10 | | | (554) set_intersection2(all_16_7, all_30_1) = all_146_1 % 20.34/4.10 | | | % 20.34/4.10 | | | REDUCE: (122), (534) imply: % 20.34/4.10 | | | (555) set_intersection2(all_16_7, all_30_1) = all_30_1 % 20.34/4.10 | | | % 20.34/4.10 | | | REDUCE: (346), (480) imply: % 20.34/4.10 | | | (556) $i(all_130_0) % 20.34/4.10 | | | % 20.34/4.10 | | | REDUCE: (345), (471) imply: % 20.34/4.10 | | | (557) $i(all_130_1) % 20.34/4.10 | | | % 20.34/4.10 | | | GROUND_INST: instantiating (11) with all_30_1, all_146_1, all_30_1, % 20.34/4.10 | | | all_16_7, simplifying with (554), (555) gives: % 20.45/4.10 | | | (558) all_146_1 = all_30_1 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (11) with all_30_0, all_146_0, all_30_0, % 20.45/4.10 | | | all_16_6, simplifying with (552), (553) gives: % 20.45/4.10 | | | (559) all_146_0 = all_30_0 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (11) with all_30_1, all_140_1, all_30_1, % 20.45/4.10 | | | all_16_5, simplifying with (240), (551) gives: % 20.45/4.10 | | | (560) all_140_1 = all_30_1 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (11) with all_30_0, all_140_0, all_30_0, % 20.45/4.10 | | | all_16_4, simplifying with (238), (550) gives: % 20.45/4.10 | | | (561) all_140_0 = all_30_0 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (11) with all_30_1, all_134_1, all_16_7, % 20.45/4.10 | | | all_30_1, simplifying with (91), (547) gives: % 20.45/4.10 | | | (562) all_134_1 = all_30_1 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (11) with all_30_1, all_132_1, all_16_5, % 20.45/4.10 | | | all_30_1, simplifying with (191), (546) gives: % 20.45/4.10 | | | (563) all_132_1 = all_30_1 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (11) with all_30_1, all_136_1, all_30_1, % 20.45/4.10 | | | all_30_1, simplifying with (444), (545) gives: % 20.45/4.10 | | | (564) all_136_1 = all_30_1 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (11) with all_136_1, all_148_1, all_30_1, % 20.45/4.10 | | | all_30_1, simplifying with (544), (545) gives: % 20.45/4.10 | | | (565) all_148_1 = all_136_1 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (11) with all_130_1, all_148_1, all_30_1, % 20.45/4.10 | | | all_30_1, simplifying with (544), (549) gives: % 20.45/4.10 | | | (566) all_148_1 = all_130_1 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (11) with all_30_0, all_134_0, all_16_6, % 20.45/4.10 | | | all_30_0, simplifying with (92), (543) gives: % 20.45/4.10 | | | (567) all_134_0 = all_30_0 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (11) with all_30_0, all_132_0, all_16_4, % 20.45/4.10 | | | all_30_0, simplifying with (181), (542) gives: % 20.45/4.10 | | | (568) all_132_0 = all_30_0 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (11) with all_30_0, all_148_0, all_30_0, % 20.45/4.10 | | | all_30_0, simplifying with (441), (540) gives: % 20.45/4.10 | | | (569) all_148_0 = all_30_0 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (11) with all_136_0, all_148_0, all_30_0, % 20.45/4.10 | | | all_30_0, simplifying with (540), (541) gives: % 20.45/4.10 | | | (570) all_148_0 = all_136_0 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (11) with all_130_0, all_148_0, all_30_0, % 20.45/4.10 | | | all_30_0, simplifying with (540), (548) gives: % 20.45/4.10 | | | (571) all_148_0 = all_130_0 % 20.45/4.10 | | | % 20.45/4.10 | | | COMBINE_EQS: (570), (571) imply: % 20.45/4.10 | | | (572) all_136_0 = all_130_0 % 20.45/4.10 | | | % 20.45/4.10 | | | COMBINE_EQS: (569), (570) imply: % 20.45/4.10 | | | (573) all_136_0 = all_30_0 % 20.45/4.10 | | | % 20.45/4.10 | | | COMBINE_EQS: (565), (566) imply: % 20.45/4.10 | | | (574) all_136_1 = all_130_1 % 20.45/4.10 | | | % 20.45/4.10 | | | SIMP: (574) implies: % 20.45/4.10 | | | (575) all_136_1 = all_130_1 % 20.45/4.10 | | | % 20.45/4.10 | | | COMBINE_EQS: (572), (573) imply: % 20.45/4.10 | | | (576) all_130_0 = all_30_0 % 20.45/4.10 | | | % 20.45/4.10 | | | SIMP: (576) implies: % 20.45/4.10 | | | (577) all_130_0 = all_30_0 % 20.45/4.10 | | | % 20.45/4.10 | | | COMBINE_EQS: (564), (575) imply: % 20.45/4.10 | | | (578) all_130_1 = all_30_1 % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (5) with all_16_7, all_30_1, all_30_0, % 20.45/4.10 | | | all_16_6, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.10 | | | (16), (17), (35), (38), (43), (92), (555) gives: % 20.45/4.10 | | | (579) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.10 | | | all_16_6) = v1 & cartesian_product2(all_16_7, all_30_0) = v0 % 20.45/4.10 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.10 | | | $i(all_16_3)) % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (5) with all_16_7, all_30_1, all_16_4, % 20.45/4.10 | | | all_30_0, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.10 | | | (16), (19), (35), (38), (43), (238), (555) gives: % 20.45/4.10 | | | (580) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.10 | | | all_30_0) = v1 & cartesian_product2(all_16_7, all_16_4) = v0 % 20.45/4.10 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.10 | | | $i(all_16_3)) % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (5) with all_16_7, all_30_1, all_16_4, % 20.45/4.10 | | | all_16_6, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.10 | | | (16), (17), (19), (35), (38), (44), (555) gives: % 20.45/4.10 | | | (581) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.10 | | | all_16_6) = v1 & cartesian_product2(all_16_7, all_16_4) = v0 % 20.45/4.10 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.10 | | | $i(all_16_3)) % 20.45/4.10 | | | % 20.45/4.10 | | | GROUND_INST: instantiating (5) with all_30_1, all_16_5, all_16_6, % 20.45/4.10 | | | all_30_0, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.10 | | | (17), (18), (35), (38), (43), (191), (553) gives: % 20.45/4.10 | | | (582) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.10 | | | all_16_6) = v0 & cartesian_product2(all_16_5, all_30_0) = v1 % 20.45/4.10 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.10 | | | $i(all_16_3)) % 20.45/4.10 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (5) with all_30_1, all_16_7, all_16_6, % 20.45/4.11 | | | all_30_0, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.11 | | | (16), (17), (35), (38), (43), (91), (553) gives: % 20.45/4.11 | | | (583) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.11 | | | all_16_6) = v0 & cartesian_product2(all_16_7, all_30_0) = v1 % 20.45/4.11 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_16_3)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (5) with all_16_5, all_30_1, all_16_6, % 20.45/4.11 | | | all_30_0, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.11 | | | (17), (18), (35), (38), (43), (240), (553) gives: % 20.45/4.11 | | | (584) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.11 | | | all_30_0) = v1 & cartesian_product2(all_16_5, all_16_6) = v0 % 20.45/4.11 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_16_3)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (4) with all_16_7, all_16_5, all_16_6, % 20.45/4.11 | | | all_16_6, all_16_3, all_64_1, all_16_3, simplifying with % 20.45/4.11 | | | (16), (17), (18), (25), (126), (538) gives: % 20.45/4.11 | | | (585) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 20.45/4.11 | | | all_16_3 & set_intersection2(all_16_6, all_16_6) = v1 & % 20.45/4.11 | | | set_intersection2(all_16_7, all_16_5) = v0 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_16_3)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (4) with all_16_7, all_16_7, all_16_6, % 20.45/4.11 | | | all_16_4, all_16_3, all_64_0, all_16_3, simplifying with % 20.45/4.11 | | | (16), (17), (19), (25), (125), (539) gives: % 20.45/4.11 | | | (586) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(v0, v1) = % 20.45/4.11 | | | all_16_3 & set_intersection2(all_16_6, all_16_4) = v1 & % 20.45/4.11 | | | set_intersection2(all_16_7, all_16_7) = v0 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_16_3)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (5) with all_30_1, all_30_1, all_30_0, % 20.45/4.11 | | | all_16_4, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.11 | | | (19), (35), (38), (43), (181), (444) gives: % 20.45/4.11 | | | (587) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.11 | | | all_30_0) = v0 & cartesian_product2(all_30_1, all_16_4) = v1 % 20.45/4.11 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_16_3)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (5) with all_30_1, all_30_1, all_30_0, % 20.45/4.11 | | | all_16_6, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.11 | | | (17), (35), (38), (43), (92), (444) gives: % 20.45/4.11 | | | (588) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.11 | | | all_30_0) = v0 & cartesian_product2(all_30_1, all_16_6) = v1 % 20.45/4.11 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_16_3)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (5) with all_30_1, all_30_1, all_16_4, % 20.45/4.11 | | | all_16_6, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.11 | | | (17), (19), (35), (38), (44), (444) gives: % 20.45/4.11 | | | (589) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.11 | | | all_16_4) = v0 & cartesian_product2(all_30_1, all_16_6) = v1 % 20.45/4.11 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_16_3)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (5) with all_30_1, all_30_1, all_16_6, % 20.45/4.11 | | | all_16_4, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.11 | | | (17), (19), (34), (35), (38), (444) gives: % 20.45/4.11 | | | (590) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.11 | | | all_16_4) = v1 & cartesian_product2(all_30_1, all_16_6) = v0 % 20.45/4.11 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_16_3)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (5) with all_30_1, all_30_1, all_16_6, % 20.45/4.11 | | | all_30_0, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.11 | | | (17), (35), (38), (43), (444), (553) gives: % 20.45/4.11 | | | (591) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.11 | | | all_30_0) = v1 & cartesian_product2(all_30_1, all_16_6) = v0 % 20.45/4.11 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_16_3)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (5) with all_30_1, all_16_5, all_30_0, % 20.45/4.11 | | | all_30_0, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.11 | | | (18), (35), (38), (43), (191), (441) gives: % 20.45/4.11 | | | (592) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.11 | | | all_30_0) = v0 & cartesian_product2(all_16_5, all_30_0) = v1 % 20.45/4.11 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_16_3)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (5) with all_30_1, all_16_7, all_30_0, % 20.45/4.11 | | | all_30_0, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.11 | | | (16), (35), (38), (43), (91), (441) gives: % 20.45/4.11 | | | (593) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.11 | | | all_30_0) = v0 & cartesian_product2(all_16_7, all_30_0) = v1 % 20.45/4.11 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_16_3)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (5) with all_16_7, all_30_1, all_30_0, % 20.45/4.11 | | | all_30_0, all_30_1, all_30_0, all_16_3, simplifying with % 20.45/4.11 | | | (16), (35), (38), (43), (441), (555) gives: % 20.45/4.11 | | | (594) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.11 | | | all_30_0) = v1 & cartesian_product2(all_16_7, all_30_0) = v0 % 20.45/4.11 | | | & set_intersection2(v0, v1) = all_16_3 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_16_3)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (5) with all_30_1, all_16_5, all_16_6, % 20.45/4.11 | | | all_16_6, all_30_1, all_16_6, all_178_0, simplifying with % 20.45/4.11 | | | (17), (18), (38), (191), (383), (449) gives: % 20.45/4.11 | | | (595) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.11 | | | all_16_6) = v0 & cartesian_product2(all_16_5, all_16_6) = v1 % 20.45/4.11 | | | & set_intersection2(v0, v1) = all_178_0 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_178_0)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (5) with all_30_1, all_16_7, all_16_6, % 20.45/4.11 | | | all_16_6, all_30_1, all_16_6, all_178_0, simplifying with % 20.45/4.11 | | | (16), (17), (38), (91), (383), (449) gives: % 20.45/4.11 | | | (596) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.11 | | | all_16_6) = v0 & cartesian_product2(all_16_7, all_16_6) = v1 % 20.45/4.11 | | | & set_intersection2(v0, v1) = all_178_0 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_178_0)) % 20.45/4.11 | | | % 20.45/4.11 | | | GROUND_INST: instantiating (5) with all_16_5, all_30_1, all_16_6, % 20.45/4.11 | | | all_16_6, all_30_1, all_16_6, all_178_0, simplifying with % 20.45/4.11 | | | (17), (18), (38), (240), (383), (449) gives: % 20.45/4.11 | | | (597) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.11 | | | all_16_6) = v1 & cartesian_product2(all_16_5, all_16_6) = v0 % 20.45/4.11 | | | & set_intersection2(v0, v1) = all_178_0 & $i(v1) & $i(v0) & % 20.45/4.11 | | | $i(all_178_0)) % 20.45/4.12 | | | % 20.45/4.12 | | | GROUND_INST: instantiating (5) with all_30_1, all_30_1, all_16_6, % 20.45/4.12 | | | all_16_6, all_30_1, all_16_6, all_178_0, simplifying with % 20.45/4.12 | | | (17), (38), (383), (444), (449) gives: % 20.45/4.12 | | | (598) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.12 | | | all_16_6) = v1 & cartesian_product2(all_30_1, all_16_6) = v0 % 20.45/4.12 | | | & set_intersection2(v0, v1) = all_178_0 & $i(v1) & $i(v0) & % 20.45/4.12 | | | $i(all_178_0)) % 20.45/4.12 | | | % 20.45/4.12 | | | GROUND_INST: instantiating (5) with all_16_7, all_30_1, all_16_6, % 20.45/4.12 | | | all_16_6, all_30_1, all_16_6, all_178_0, simplifying with % 20.45/4.12 | | | (16), (17), (38), (383), (449), (555) gives: % 20.45/4.12 | | | (599) ? [v0: $i] : ? [v1: $i] : (cartesian_product2(all_30_1, % 20.45/4.12 | | | all_16_6) = v1 & cartesian_product2(all_16_7, all_16_6) = v0 % 20.45/4.12 | | | & set_intersection2(v0, v1) = all_178_0 & $i(v1) & $i(v0) & % 20.45/4.12 | | | $i(all_178_0)) % 20.45/4.12 | | | % 20.45/4.12 | | | DELTA: instantiating (584) with fresh symbols all_224_0, all_224_1 gives: % 20.45/4.12 | | | (600) cartesian_product2(all_30_1, all_30_0) = all_224_0 & % 20.45/4.12 | | | cartesian_product2(all_16_5, all_16_6) = all_224_1 & % 20.45/4.12 | | | set_intersection2(all_224_1, all_224_0) = all_16_3 & % 20.45/4.12 | | | $i(all_224_0) & $i(all_224_1) & $i(all_16_3) % 20.45/4.12 | | | % 20.45/4.12 | | | ALPHA: (600) implies: % 20.45/4.12 | | | (601) cartesian_product2(all_30_1, all_30_0) = all_224_0 % 20.45/4.12 | | | % 20.45/4.12 | | | DELTA: instantiating (582) with fresh symbols all_226_0, all_226_1 gives: % 20.45/4.12 | | | (602) cartesian_product2(all_30_1, all_16_6) = all_226_1 & % 20.45/4.12 | | | cartesian_product2(all_16_5, all_30_0) = all_226_0 & % 20.45/4.12 | | | set_intersection2(all_226_1, all_226_0) = all_16_3 & % 20.45/4.12 | | | $i(all_226_0) & $i(all_226_1) & $i(all_16_3) % 20.45/4.12 | | | % 20.45/4.12 | | | ALPHA: (602) implies: % 20.45/4.12 | | | (603) cartesian_product2(all_30_1, all_16_6) = all_226_1 % 20.45/4.12 | | | % 20.45/4.12 | | | DELTA: instantiating (583) with fresh symbols all_228_0, all_228_1 gives: % 20.45/4.12 | | | (604) cartesian_product2(all_30_1, all_16_6) = all_228_1 & % 20.45/4.12 | | | cartesian_product2(all_16_7, all_30_0) = all_228_0 & % 20.45/4.12 | | | set_intersection2(all_228_1, all_228_0) = all_16_3 & % 20.45/4.12 | | | $i(all_228_0) & $i(all_228_1) & $i(all_16_3) % 20.45/4.12 | | | % 20.45/4.12 | | | ALPHA: (604) implies: % 20.45/4.12 | | | (605) cartesian_product2(all_30_1, all_16_6) = all_228_1 % 20.45/4.12 | | | % 20.45/4.12 | | | DELTA: instantiating (581) with fresh symbols all_230_0, all_230_1 gives: % 20.45/4.12 | | | (606) cartesian_product2(all_30_1, all_16_6) = all_230_0 & % 20.45/4.12 | | | cartesian_product2(all_16_7, all_16_4) = all_230_1 & % 20.45/4.12 | | | set_intersection2(all_230_1, all_230_0) = all_16_3 & % 20.45/4.12 | | | $i(all_230_0) & $i(all_230_1) & $i(all_16_3) % 20.45/4.12 | | | % 20.45/4.12 | | | ALPHA: (606) implies: % 20.45/4.12 | | | (607) cartesian_product2(all_30_1, all_16_6) = all_230_0 % 20.45/4.12 | | | % 20.45/4.12 | | | DELTA: instantiating (579) with fresh symbols all_232_0, all_232_1 gives: % 20.45/4.12 | | | (608) cartesian_product2(all_30_1, all_16_6) = all_232_0 & % 20.45/4.12 | | | cartesian_product2(all_16_7, all_30_0) = all_232_1 & % 20.45/4.12 | | | set_intersection2(all_232_1, all_232_0) = all_16_3 & % 20.45/4.12 | | | $i(all_232_0) & $i(all_232_1) & $i(all_16_3) % 20.45/4.12 | | | % 20.45/4.12 | | | ALPHA: (608) implies: % 20.45/4.12 | | | (609) cartesian_product2(all_30_1, all_16_6) = all_232_0 % 20.45/4.12 | | | % 20.45/4.12 | | | DELTA: instantiating (580) with fresh symbols all_236_0, all_236_1 gives: % 20.45/4.12 | | | (610) cartesian_product2(all_30_1, all_30_0) = all_236_0 & % 20.45/4.12 | | | cartesian_product2(all_16_7, all_16_4) = all_236_1 & % 20.45/4.12 | | | set_intersection2(all_236_1, all_236_0) = all_16_3 & % 20.45/4.12 | | | $i(all_236_0) & $i(all_236_1) & $i(all_16_3) % 20.45/4.12 | | | % 20.45/4.12 | | | ALPHA: (610) implies: % 20.45/4.12 | | | (611) cartesian_product2(all_30_1, all_30_0) = all_236_0 % 20.45/4.12 | | | % 20.45/4.12 | | | DELTA: instantiating (599) with fresh symbols all_240_0, all_240_1 gives: % 20.45/4.12 | | | (612) cartesian_product2(all_30_1, all_16_6) = all_240_0 & % 20.45/4.12 | | | cartesian_product2(all_16_7, all_16_6) = all_240_1 & % 20.45/4.12 | | | set_intersection2(all_240_1, all_240_0) = all_178_0 & % 20.45/4.12 | | | $i(all_240_0) & $i(all_240_1) & $i(all_178_0) % 20.45/4.12 | | | % 20.45/4.12 | | | ALPHA: (612) implies: % 20.45/4.12 | | | (613) cartesian_product2(all_30_1, all_16_6) = all_240_0 % 20.45/4.12 | | | % 20.45/4.12 | | | DELTA: instantiating (598) with fresh symbols all_242_0, all_242_1 gives: % 20.45/4.12 | | | (614) cartesian_product2(all_30_1, all_16_6) = all_242_0 & % 20.45/4.12 | | | cartesian_product2(all_30_1, all_16_6) = all_242_1 & % 20.45/4.12 | | | set_intersection2(all_242_1, all_242_0) = all_178_0 & % 20.45/4.12 | | | $i(all_242_0) & $i(all_242_1) & $i(all_178_0) % 20.45/4.12 | | | % 20.45/4.12 | | | ALPHA: (614) implies: % 20.56/4.12 | | | (615) cartesian_product2(all_30_1, all_16_6) = all_242_1 % 20.56/4.12 | | | (616) cartesian_product2(all_30_1, all_16_6) = all_242_0 % 20.56/4.12 | | | % 20.56/4.12 | | | DELTA: instantiating (597) with fresh symbols all_244_0, all_244_1 gives: % 20.56/4.12 | | | (617) cartesian_product2(all_30_1, all_16_6) = all_244_0 & % 20.56/4.12 | | | cartesian_product2(all_16_5, all_16_6) = all_244_1 & % 20.56/4.12 | | | set_intersection2(all_244_1, all_244_0) = all_178_0 & % 20.56/4.12 | | | $i(all_244_0) & $i(all_244_1) & $i(all_178_0) % 20.56/4.12 | | | % 20.56/4.12 | | | ALPHA: (617) implies: % 20.56/4.12 | | | (618) cartesian_product2(all_30_1, all_16_6) = all_244_0 % 20.56/4.12 | | | % 20.56/4.12 | | | DELTA: instantiating (595) with fresh symbols all_246_0, all_246_1 gives: % 20.56/4.12 | | | (619) cartesian_product2(all_30_1, all_16_6) = all_246_1 & % 20.56/4.12 | | | cartesian_product2(all_16_5, all_16_6) = all_246_0 & % 20.56/4.12 | | | set_intersection2(all_246_1, all_246_0) = all_178_0 & % 20.56/4.12 | | | $i(all_246_0) & $i(all_246_1) & $i(all_178_0) % 20.56/4.12 | | | % 20.56/4.12 | | | ALPHA: (619) implies: % 20.56/4.12 | | | (620) cartesian_product2(all_30_1, all_16_6) = all_246_1 % 20.56/4.12 | | | % 20.56/4.12 | | | DELTA: instantiating (596) with fresh symbols all_250_0, all_250_1 gives: % 20.56/4.12 | | | (621) cartesian_product2(all_30_1, all_16_6) = all_250_1 & % 20.56/4.12 | | | cartesian_product2(all_16_7, all_16_6) = all_250_0 & % 20.56/4.12 | | | set_intersection2(all_250_1, all_250_0) = all_178_0 & % 20.56/4.12 | | | $i(all_250_0) & $i(all_250_1) & $i(all_178_0) % 20.56/4.12 | | | % 20.56/4.12 | | | ALPHA: (621) implies: % 20.56/4.12 | | | (622) cartesian_product2(all_30_1, all_16_6) = all_250_1 % 20.56/4.12 | | | % 20.56/4.12 | | | DELTA: instantiating (594) with fresh symbols all_256_0, all_256_1 gives: % 20.56/4.12 | | | (623) cartesian_product2(all_30_1, all_30_0) = all_256_0 & % 20.56/4.12 | | | cartesian_product2(all_16_7, all_30_0) = all_256_1 & % 20.56/4.12 | | | set_intersection2(all_256_1, all_256_0) = all_16_3 & % 20.56/4.12 | | | $i(all_256_0) & $i(all_256_1) & $i(all_16_3) % 20.56/4.12 | | | % 20.56/4.12 | | | ALPHA: (623) implies: % 20.56/4.12 | | | (624) cartesian_product2(all_30_1, all_30_0) = all_256_0 % 20.56/4.12 | | | % 20.56/4.12 | | | DELTA: instantiating (586) with fresh symbols all_272_0, all_272_1 gives: % 20.56/4.12 | | | (625) cartesian_product2(all_272_1, all_272_0) = all_16_3 & % 20.56/4.12 | | | set_intersection2(all_16_6, all_16_4) = all_272_0 & % 20.56/4.12 | | | set_intersection2(all_16_7, all_16_7) = all_272_1 & $i(all_272_0) % 20.56/4.12 | | | & $i(all_272_1) & $i(all_16_3) % 20.56/4.12 | | | % 20.56/4.12 | | | ALPHA: (625) implies: % 20.56/4.12 | | | (626) $i(all_272_0) % 20.56/4.12 | | | (627) set_intersection2(all_16_6, all_16_4) = all_272_0 % 20.56/4.12 | | | % 20.56/4.12 | | | DELTA: instantiating (593) with fresh symbols all_276_0, all_276_1 gives: % 20.56/4.12 | | | (628) cartesian_product2(all_30_1, all_30_0) = all_276_1 & % 20.56/4.12 | | | cartesian_product2(all_16_7, all_30_0) = all_276_0 & % 20.56/4.12 | | | set_intersection2(all_276_1, all_276_0) = all_16_3 & % 20.56/4.12 | | | $i(all_276_0) & $i(all_276_1) & $i(all_16_3) % 20.56/4.12 | | | % 20.56/4.12 | | | ALPHA: (628) implies: % 20.56/4.12 | | | (629) cartesian_product2(all_30_1, all_30_0) = all_276_1 % 20.56/4.12 | | | % 20.56/4.12 | | | DELTA: instantiating (590) with fresh symbols all_278_0, all_278_1 gives: % 20.56/4.12 | | | (630) cartesian_product2(all_30_1, all_16_4) = all_278_0 & % 20.56/4.12 | | | cartesian_product2(all_30_1, all_16_6) = all_278_1 & % 20.56/4.12 | | | set_intersection2(all_278_1, all_278_0) = all_16_3 & % 20.56/4.12 | | | $i(all_278_0) & $i(all_278_1) & $i(all_16_3) % 20.56/4.12 | | | % 20.56/4.12 | | | ALPHA: (630) implies: % 20.56/4.12 | | | (631) cartesian_product2(all_30_1, all_16_6) = all_278_1 % 20.56/4.12 | | | % 20.56/4.12 | | | DELTA: instantiating (588) with fresh symbols all_280_0, all_280_1 gives: % 20.56/4.12 | | | (632) cartesian_product2(all_30_1, all_30_0) = all_280_1 & % 20.56/4.12 | | | cartesian_product2(all_30_1, all_16_6) = all_280_0 & % 20.56/4.12 | | | set_intersection2(all_280_1, all_280_0) = all_16_3 & % 20.56/4.12 | | | $i(all_280_0) & $i(all_280_1) & $i(all_16_3) % 20.56/4.12 | | | % 20.56/4.12 | | | ALPHA: (632) implies: % 20.56/4.12 | | | (633) cartesian_product2(all_30_1, all_16_6) = all_280_0 % 20.56/4.12 | | | (634) cartesian_product2(all_30_1, all_30_0) = all_280_1 % 20.56/4.12 | | | % 20.56/4.12 | | | DELTA: instantiating (585) with fresh symbols all_282_0, all_282_1 gives: % 20.56/4.13 | | | (635) cartesian_product2(all_282_1, all_282_0) = all_16_3 & % 20.56/4.13 | | | set_intersection2(all_16_6, all_16_6) = all_282_0 & % 20.56/4.13 | | | set_intersection2(all_16_7, all_16_5) = all_282_1 & $i(all_282_0) % 20.56/4.13 | | | & $i(all_282_1) & $i(all_16_3) % 20.56/4.13 | | | % 20.56/4.13 | | | ALPHA: (635) implies: % 20.56/4.13 | | | (636) $i(all_282_1) % 20.56/4.13 | | | (637) set_intersection2(all_16_7, all_16_5) = all_282_1 % 20.56/4.13 | | | (638) set_intersection2(all_16_6, all_16_6) = all_282_0 % 20.56/4.13 | | | (639) cartesian_product2(all_282_1, all_282_0) = all_16_3 % 20.56/4.13 | | | % 20.56/4.13 | | | DELTA: instantiating (587) with fresh symbols all_284_0, all_284_1 gives: % 20.56/4.13 | | | (640) cartesian_product2(all_30_1, all_30_0) = all_284_1 & % 20.56/4.13 | | | cartesian_product2(all_30_1, all_16_4) = all_284_0 & % 20.56/4.13 | | | set_intersection2(all_284_1, all_284_0) = all_16_3 & % 20.56/4.13 | | | $i(all_284_0) & $i(all_284_1) & $i(all_16_3) % 20.56/4.13 | | | % 20.56/4.13 | | | ALPHA: (640) implies: % 20.56/4.13 | | | (641) cartesian_product2(all_30_1, all_30_0) = all_284_1 % 20.56/4.13 | | | % 20.56/4.13 | | | DELTA: instantiating (589) with fresh symbols all_286_0, all_286_1 gives: % 20.56/4.13 | | | (642) cartesian_product2(all_30_1, all_16_4) = all_286_1 & % 20.56/4.13 | | | cartesian_product2(all_30_1, all_16_6) = all_286_0 & % 20.56/4.13 | | | set_intersection2(all_286_1, all_286_0) = all_16_3 & % 20.56/4.13 | | | $i(all_286_0) & $i(all_286_1) & $i(all_16_3) % 20.56/4.13 | | | % 20.56/4.13 | | | ALPHA: (642) implies: % 20.56/4.13 | | | (643) cartesian_product2(all_30_1, all_16_6) = all_286_0 % 20.56/4.13 | | | % 20.56/4.13 | | | DELTA: instantiating (592) with fresh symbols all_288_0, all_288_1 gives: % 20.56/4.13 | | | (644) cartesian_product2(all_30_1, all_30_0) = all_288_1 & % 20.56/4.13 | | | cartesian_product2(all_16_5, all_30_0) = all_288_0 & % 20.56/4.13 | | | set_intersection2(all_288_1, all_288_0) = all_16_3 & % 20.56/4.13 | | | $i(all_288_0) & $i(all_288_1) & $i(all_16_3) % 20.56/4.13 | | | % 20.56/4.13 | | | ALPHA: (644) implies: % 20.56/4.13 | | | (645) cartesian_product2(all_30_1, all_30_0) = all_288_1 % 20.56/4.13 | | | % 20.56/4.13 | | | DELTA: instantiating (591) with fresh symbols all_294_0, all_294_1 gives: % 20.56/4.13 | | | (646) cartesian_product2(all_30_1, all_30_0) = all_294_0 & % 20.56/4.13 | | | cartesian_product2(all_30_1, all_16_6) = all_294_1 & % 20.56/4.13 | | | set_intersection2(all_294_1, all_294_0) = all_16_3 & % 20.56/4.13 | | | $i(all_294_0) & $i(all_294_1) & $i(all_16_3) % 20.56/4.13 | | | % 20.56/4.13 | | | ALPHA: (646) implies: % 20.56/4.13 | | | (647) cartesian_product2(all_30_1, all_16_6) = all_294_1 % 20.56/4.13 | | | (648) cartesian_product2(all_30_1, all_30_0) = all_294_0 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (11) with all_30_1, all_282_1, all_16_5, % 20.56/4.13 | | | all_16_7, simplifying with (33), (637) gives: % 20.56/4.13 | | | (649) all_282_1 = all_30_1 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (11) with all_16_6, all_282_0, all_16_6, % 20.56/4.13 | | | all_16_6, simplifying with (449), (638) gives: % 20.56/4.13 | | | (650) all_282_0 = all_16_6 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (11) with all_30_0, all_272_0, all_16_4, % 20.56/4.13 | | | all_16_6, simplifying with (34), (627) gives: % 20.56/4.13 | | | (651) all_272_0 = all_30_0 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_178_0, all_228_1, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (383), (605) gives: % 20.56/4.13 | | | (652) all_228_1 = all_178_0 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_228_1, all_230_0, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (605), (607) gives: % 20.56/4.13 | | | (653) all_230_0 = all_228_1 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_230_0, all_240_0, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (607), (613) gives: % 20.56/4.13 | | | (654) all_240_0 = all_230_0 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_240_0, all_242_1, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (613), (615) gives: % 20.56/4.13 | | | (655) all_242_1 = all_240_0 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_232_0, all_242_1, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (609), (615) gives: % 20.56/4.13 | | | (656) all_242_1 = all_232_0 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_226_1, all_244_0, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (603), (618) gives: % 20.56/4.13 | | | (657) all_244_0 = all_226_1 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_244_0, all_250_1, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (618), (622) gives: % 20.56/4.13 | | | (658) all_250_1 = all_244_0 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_240_0, all_250_1, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (613), (622) gives: % 20.56/4.13 | | | (659) all_250_1 = all_240_0 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_278_1, all_280_0, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (631), (633) gives: % 20.56/4.13 | | | (660) all_280_0 = all_278_1 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_250_1, all_280_0, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (622), (633) gives: % 20.56/4.13 | | | (661) all_280_0 = all_250_1 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_280_0, all_286_0, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (633), (643) gives: % 20.56/4.13 | | | (662) all_286_0 = all_280_0 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_246_1, all_286_0, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (620), (643) gives: % 20.56/4.13 | | | (663) all_286_0 = all_246_1 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_250_1, all_294_1, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (622), (647) gives: % 20.56/4.13 | | | (664) all_294_1 = all_250_1 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_242_0, all_294_1, all_16_6, % 20.56/4.13 | | | all_30_1, simplifying with (616), (647) gives: % 20.56/4.13 | | | (665) all_294_1 = all_242_0 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_16_3, all_256_0, all_30_0, % 20.56/4.13 | | | all_30_1, simplifying with (35), (624) gives: % 20.56/4.13 | | | (666) all_256_0 = all_16_3 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_280_1, all_284_1, all_30_0, % 20.56/4.13 | | | all_30_1, simplifying with (634), (641) gives: % 20.56/4.13 | | | (667) all_284_1 = all_280_1 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_276_1, all_284_1, all_30_0, % 20.56/4.13 | | | all_30_1, simplifying with (629), (641) gives: % 20.56/4.13 | | | (668) all_284_1 = all_276_1 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_256_0, all_284_1, all_30_0, % 20.56/4.13 | | | all_30_1, simplifying with (624), (641) gives: % 20.56/4.13 | | | (669) all_284_1 = all_256_0 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_236_0, all_284_1, all_30_0, % 20.56/4.13 | | | all_30_1, simplifying with (611), (641) gives: % 20.56/4.13 | | | (670) all_284_1 = all_236_0 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_256_0, all_288_1, all_30_0, % 20.56/4.13 | | | all_30_1, simplifying with (624), (645) gives: % 20.56/4.13 | | | (671) all_288_1 = all_256_0 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_288_1, all_294_0, all_30_0, % 20.56/4.13 | | | all_30_1, simplifying with (645), (648) gives: % 20.56/4.13 | | | (672) all_294_0 = all_288_1 % 20.56/4.13 | | | % 20.56/4.13 | | | GROUND_INST: instantiating (13) with all_224_0, all_294_0, all_30_0, % 20.56/4.13 | | | all_30_1, simplifying with (601), (648) gives: % 20.56/4.13 | | | (673) all_294_0 = all_224_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (672), (673) imply: % 20.56/4.13 | | | (674) all_288_1 = all_224_0 % 20.56/4.13 | | | % 20.56/4.13 | | | SIMP: (674) implies: % 20.56/4.13 | | | (675) all_288_1 = all_224_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (664), (665) imply: % 20.56/4.13 | | | (676) all_250_1 = all_242_0 % 20.56/4.13 | | | % 20.56/4.13 | | | SIMP: (676) implies: % 20.56/4.13 | | | (677) all_250_1 = all_242_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (671), (675) imply: % 20.56/4.13 | | | (678) all_256_0 = all_224_0 % 20.56/4.13 | | | % 20.56/4.13 | | | SIMP: (678) implies: % 20.56/4.13 | | | (679) all_256_0 = all_224_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (662), (663) imply: % 20.56/4.13 | | | (680) all_280_0 = all_246_1 % 20.56/4.13 | | | % 20.56/4.13 | | | SIMP: (680) implies: % 20.56/4.13 | | | (681) all_280_0 = all_246_1 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (667), (668) imply: % 20.56/4.13 | | | (682) all_280_1 = all_276_1 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (667), (669) imply: % 20.56/4.13 | | | (683) all_280_1 = all_256_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (667), (670) imply: % 20.56/4.13 | | | (684) all_280_1 = all_236_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (660), (681) imply: % 20.56/4.13 | | | (685) all_278_1 = all_246_1 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (660), (661) imply: % 20.56/4.13 | | | (686) all_278_1 = all_250_1 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (682), (684) imply: % 20.56/4.13 | | | (687) all_276_1 = all_236_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (682), (683) imply: % 20.56/4.13 | | | (688) all_276_1 = all_256_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (685), (686) imply: % 20.56/4.13 | | | (689) all_250_1 = all_246_1 % 20.56/4.13 | | | % 20.56/4.13 | | | SIMP: (689) implies: % 20.56/4.13 | | | (690) all_250_1 = all_246_1 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (687), (688) imply: % 20.56/4.13 | | | (691) all_256_0 = all_236_0 % 20.56/4.13 | | | % 20.56/4.13 | | | SIMP: (691) implies: % 20.56/4.13 | | | (692) all_256_0 = all_236_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (666), (692) imply: % 20.56/4.13 | | | (693) all_236_0 = all_16_3 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (679), (692) imply: % 20.56/4.13 | | | (694) all_236_0 = all_224_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (658), (690) imply: % 20.56/4.13 | | | (695) all_246_1 = all_244_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (677), (690) imply: % 20.56/4.13 | | | (696) all_246_1 = all_242_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (659), (690) imply: % 20.56/4.13 | | | (697) all_246_1 = all_240_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (695), (696) imply: % 20.56/4.13 | | | (698) all_244_0 = all_242_0 % 20.56/4.13 | | | % 20.56/4.13 | | | SIMP: (698) implies: % 20.56/4.13 | | | (699) all_244_0 = all_242_0 % 20.56/4.13 | | | % 20.56/4.13 | | | COMBINE_EQS: (696), (697) imply: % 20.56/4.14 | | | (700) all_242_0 = all_240_0 % 20.56/4.14 | | | % 20.56/4.14 | | | COMBINE_EQS: (657), (699) imply: % 20.56/4.14 | | | (701) all_242_0 = all_226_1 % 20.56/4.14 | | | % 20.56/4.14 | | | SIMP: (701) implies: % 20.56/4.14 | | | (702) all_242_0 = all_226_1 % 20.56/4.14 | | | % 20.56/4.14 | | | COMBINE_EQS: (700), (702) imply: % 20.56/4.14 | | | (703) all_240_0 = all_226_1 % 20.56/4.14 | | | % 20.56/4.14 | | | SIMP: (703) implies: % 20.56/4.14 | | | (704) all_240_0 = all_226_1 % 20.56/4.14 | | | % 20.56/4.14 | | | COMBINE_EQS: (655), (656) imply: % 20.56/4.14 | | | (705) all_240_0 = all_232_0 % 20.56/4.14 | | | % 20.56/4.14 | | | SIMP: (705) implies: % 20.56/4.14 | | | (706) all_240_0 = all_232_0 % 20.56/4.14 | | | % 20.56/4.14 | | | COMBINE_EQS: (654), (706) imply: % 20.56/4.14 | | | (707) all_232_0 = all_230_0 % 20.56/4.14 | | | % 20.56/4.14 | | | COMBINE_EQS: (704), (706) imply: % 20.56/4.14 | | | (708) all_232_0 = all_226_1 % 20.56/4.14 | | | % 20.56/4.14 | | | COMBINE_EQS: (693), (694) imply: % 20.56/4.14 | | | (709) all_224_0 = all_16_3 % 20.56/4.14 | | | % 20.56/4.14 | | | COMBINE_EQS: (707), (708) imply: % 20.56/4.14 | | | (710) all_230_0 = all_226_1 % 20.56/4.14 | | | % 20.56/4.14 | | | SIMP: (710) implies: % 20.56/4.14 | | | (711) all_230_0 = all_226_1 % 20.56/4.14 | | | % 20.56/4.14 | | | COMBINE_EQS: (653), (711) imply: % 20.56/4.14 | | | (712) all_228_1 = all_226_1 % 20.56/4.14 | | | % 20.56/4.14 | | | SIMP: (712) implies: % 20.56/4.14 | | | (713) all_228_1 = all_226_1 % 20.56/4.14 | | | % 20.56/4.14 | | | COMBINE_EQS: (652), (713) imply: % 20.56/4.14 | | | (714) all_226_1 = all_178_0 % 20.56/4.14 | | | % 20.56/4.14 | | | REDUCE: (639), (649), (650) imply: % 20.56/4.14 | | | (715) cartesian_product2(all_30_1, all_16_6) = all_16_3 % 20.56/4.14 | | | % 20.56/4.14 | | | GROUND_INST: instantiating (13) with all_178_0, all_16_3, all_16_6, % 20.56/4.14 | | | all_30_1, simplifying with (383), (715) gives: % 20.56/4.14 | | | (716) all_178_0 = all_16_3 % 20.56/4.14 | | | % 20.56/4.14 | | | BETA: splitting (27) gives: % 20.56/4.14 | | | % 20.56/4.14 | | | Case 1: % 20.56/4.14 | | | | % 20.56/4.14 | | | | (717) ~ (all_16_0 = 0) % 20.56/4.14 | | | | % 20.56/4.14 | | | | BETA: splitting (52) gives: % 20.56/4.14 | | | | % 20.56/4.14 | | | | Case 1: % 20.56/4.14 | | | | | % 20.56/4.14 | | | | | (718) all_30_0 = empty_set % 20.56/4.14 | | | | | % 20.56/4.14 | | | | | REDUCE: (35), (718) imply: % 20.56/4.14 | | | | | (719) cartesian_product2(all_30_1, empty_set) = all_16_3 % 20.56/4.14 | | | | | % 20.56/4.14 | | | | | REF_CLOSE: (3), (15), (38), (719) are inconsistent by sub-proof #2. % 20.56/4.14 | | | | | % 20.56/4.14 | | | | Case 2: % 20.56/4.14 | | | | | % 20.56/4.14 | | | | | (720) ~ (all_30_0 = empty_set) % 20.56/4.14 | | | | | (721) all_30_1 = all_16_7 | all_30_1 = empty_set % 20.56/4.14 | | | | | % 20.56/4.14 | | | | | BETA: splitting (50) gives: % 20.56/4.14 | | | | | % 20.56/4.14 | | | | | Case 1: % 20.56/4.14 | | | | | | % 20.56/4.14 | | | | | | (722) all_30_0 = empty_set % 20.56/4.14 | | | | | | % 20.56/4.14 | | | | | | REDUCE: (720), (722) imply: % 20.56/4.14 | | | | | | (723) $false % 20.56/4.14 | | | | | | % 20.56/4.14 | | | | | | CLOSE: (723) is inconsistent. % 20.56/4.14 | | | | | | % 20.56/4.14 | | | | | Case 2: % 20.56/4.14 | | | | | | % 20.56/4.14 | | | | | | (724) all_30_0 = all_16_6 | all_30_1 = empty_set % 20.56/4.14 | | | | | | % 20.56/4.14 | | | | | | BETA: splitting (51) gives: % 20.56/4.14 | | | | | | % 20.56/4.14 | | | | | | Case 1: % 20.56/4.14 | | | | | | | % 20.56/4.14 | | | | | | | (725) all_16_6 = empty_set % 20.56/4.14 | | | | | | | % 20.56/4.14 | | | | | | | REDUCE: (715), (725) imply: % 20.56/4.14 | | | | | | | (726) cartesian_product2(all_30_1, empty_set) = all_16_3 % 20.56/4.14 | | | | | | | % 20.56/4.14 | | | | | | | REF_CLOSE: (3), (15), (38), (726) are inconsistent by sub-proof % 20.56/4.14 | | | | | | | #2. % 20.56/4.14 | | | | | | | % 20.56/4.14 | | | | | | Case 2: % 20.56/4.14 | | | | | | | % 20.56/4.14 | | | | | | | (727) all_30_1 = all_16_7 | all_16_7 = empty_set % 20.56/4.14 | | | | | | | % 20.56/4.14 | | | | | | | BETA: splitting (36) gives: % 20.56/4.14 | | | | | | | % 20.56/4.14 | | | | | | | Case 1: % 20.56/4.14 | | | | | | | | % 20.56/4.14 | | | | | | | | (728) all_30_1 = all_16_7 % 20.56/4.14 | | | | | | | | % 20.56/4.14 | | | | | | | | REDUCE: (35), (728) imply: % 20.56/4.14 | | | | | | | | (729) cartesian_product2(all_16_7, all_30_0) = all_16_3 % 20.56/4.14 | | | | | | | | % 20.56/4.14 | | | | | | | | BETA: splitting (277) gives: % 20.56/4.14 | | | | | | | | % 20.56/4.14 | | | | | | | | Case 1: % 20.56/4.14 | | | | | | | | | % 20.56/4.14 | | | | | | | | | (730) all_62_0 = all_16_6 % 20.56/4.14 | | | | | | | | | % 20.56/4.14 | | | | | | | | | COMBINE_EQS: (533), (730) imply: % 20.56/4.14 | | | | | | | | | (731) all_30_0 = all_16_6 % 20.56/4.14 | | | | | | | | | % 20.56/4.14 | | | | | | | | | REDUCE: (76), (731) imply: % 20.56/4.14 | | | | | | | | | (732) subset(all_16_6, all_16_4) = 0 % 20.56/4.14 | | | | | | | | | % 20.56/4.14 | | | | | | | | | GROUND_INST: instantiating (12) with all_16_0, 0, all_16_4, % 20.56/4.14 | | | | | | | | | all_16_6, simplifying with (23), (732) gives: % 20.56/4.14 | | | | | | | | | (733) all_16_0 = 0 % 20.56/4.14 | | | | | | | | | % 20.56/4.14 | | | | | | | | | REDUCE: (717), (733) imply: % 20.56/4.14 | | | | | | | | | (734) $false % 20.56/4.14 | | | | | | | | | % 20.56/4.14 | | | | | | | | | CLOSE: (734) is inconsistent. % 20.56/4.14 | | | | | | | | | % 20.56/4.14 | | | | | | | | Case 2: % 20.56/4.14 | | | | | | | | | % 20.56/4.14 | | | | | | | | | (735) ~ (all_62_0 = all_16_6) % 20.56/4.14 | | | | | | | | | % 20.56/4.14 | | | | | | | | | REDUCE: (533), (735) imply: % 20.56/4.14 | | | | | | | | | (736) ~ (all_30_0 = all_16_6) % 20.56/4.14 | | | | | | | | | % 20.56/4.14 | | | | | | | | | BETA: splitting (724) gives: % 20.56/4.14 | | | | | | | | | % 20.56/4.14 | | | | | | | | | Case 1: % 20.56/4.14 | | | | | | | | | | % 20.56/4.14 | | | | | | | | | | (737) all_30_1 = empty_set % 20.56/4.14 | | | | | | | | | | % 20.56/4.14 | | | | | | | | | | COMBINE_EQS: (728), (737) imply: % 20.56/4.14 | | | | | | | | | | (738) all_16_7 = empty_set % 20.56/4.14 | | | | | | | | | | % 20.56/4.14 | | | | | | | | | | SIMP: (738) implies: % 20.56/4.14 | | | | | | | | | | (739) all_16_7 = empty_set % 20.56/4.14 | | | | | | | | | | % 20.56/4.14 | | | | | | | | | | REDUCE: (729), (739) imply: % 20.56/4.14 | | | | | | | | | | (740) cartesian_product2(empty_set, all_30_0) = all_16_3 % 20.56/4.14 | | | | | | | | | | % 20.56/4.14 | | | | | | | | | | GROUND_INST: instantiating (2) with all_30_0, all_16_3, % 20.56/4.14 | | | | | | | | | | simplifying with (43), (740) gives: % 20.56/4.14 | | | | | | | | | | (741) all_16_3 = empty_set % 20.56/4.14 | | | | | | | | | | % 20.56/4.14 | | | | | | | | | | REDUCE: (15), (741) imply: % 20.56/4.14 | | | | | | | | | | (742) $false % 20.56/4.14 | | | | | | | | | | % 20.56/4.14 | | | | | | | | | | CLOSE: (742) is inconsistent. % 20.56/4.14 | | | | | | | | | | % 20.56/4.14 | | | | | | | | | Case 2: % 20.56/4.14 | | | | | | | | | | % 20.56/4.14 | | | | | | | | | | (743) all_30_0 = all_16_6 % 20.56/4.14 | | | | | | | | | | % 20.56/4.14 | | | | | | | | | | REDUCE: (736), (743) imply: % 20.56/4.14 | | | | | | | | | | (744) $false % 20.56/4.14 | | | | | | | | | | % 20.56/4.14 | | | | | | | | | | CLOSE: (744) is inconsistent. % 20.56/4.14 | | | | | | | | | | % 20.56/4.14 | | | | | | | | | End of split % 20.56/4.14 | | | | | | | | | % 20.56/4.14 | | | | | | | | End of split % 20.56/4.14 | | | | | | | | % 20.56/4.14 | | | | | | | Case 2: % 20.56/4.14 | | | | | | | | % 20.56/4.14 | | | | | | | | (745) ~ (all_30_1 = all_16_7) % 20.56/4.14 | | | | | | | | % 20.56/4.14 | | | | | | | | REF_CLOSE: (721), (727), (745) are inconsistent by sub-proof #1. % 20.56/4.14 | | | | | | | | % 20.56/4.14 | | | | | | | End of split % 20.56/4.14 | | | | | | | % 20.56/4.14 | | | | | | End of split % 20.56/4.14 | | | | | | % 20.56/4.14 | | | | | End of split % 20.56/4.14 | | | | | % 20.56/4.14 | | | | End of split % 20.56/4.14 | | | | % 20.56/4.14 | | | Case 2: % 20.56/4.14 | | | | % 20.56/4.14 | | | | (746) all_16_0 = 0 % 20.56/4.14 | | | | (747) ~ (all_16_1 = 0) % 20.56/4.14 | | | | % 20.56/4.14 | | | | REDUCE: (23), (746) imply: % 20.56/4.14 | | | | (748) subset(all_16_6, all_16_4) = 0 % 20.56/4.14 | | | | % 20.56/4.14 | | | | BETA: splitting (41) gives: % 20.56/4.14 | | | | % 20.56/4.14 | | | | Case 1: % 20.56/4.14 | | | | | % 20.56/4.14 | | | | | (749) all_30_0 = all_16_6 % 20.56/4.14 | | | | | % 20.56/4.14 | | | | | BETA: splitting (52) gives: % 20.56/4.14 | | | | | % 20.56/4.14 | | | | | Case 1: % 20.56/4.14 | | | | | | % 20.56/4.14 | | | | | | (750) all_30_0 = empty_set % 20.56/4.14 | | | | | | % 20.56/4.14 | | | | | | COMBINE_EQS: (749), (750) imply: % 20.56/4.14 | | | | | | (751) all_16_6 = empty_set % 20.56/4.14 | | | | | | % 20.56/4.14 | | | | | | SIMP: (751) implies: % 20.56/4.14 | | | | | | (752) all_16_6 = empty_set % 20.56/4.14 | | | | | | % 20.56/4.14 | | | | | | REDUCE: (715), (752) imply: % 20.56/4.15 | | | | | | (753) cartesian_product2(all_30_1, empty_set) = all_16_3 % 20.56/4.15 | | | | | | % 20.56/4.15 | | | | | | REF_CLOSE: (3), (15), (38), (753) are inconsistent by sub-proof #2. % 20.56/4.15 | | | | | | % 20.56/4.15 | | | | | Case 2: % 20.56/4.15 | | | | | | % 20.56/4.15 | | | | | | (754) ~ (all_30_0 = empty_set) % 20.56/4.15 | | | | | | (755) all_30_1 = all_16_7 | all_30_1 = empty_set % 20.56/4.15 | | | | | | % 20.56/4.15 | | | | | | REDUCE: (749), (754) imply: % 20.56/4.15 | | | | | | (756) ~ (all_16_6 = empty_set) % 20.56/4.15 | | | | | | % 20.56/4.15 | | | | | | BETA: splitting (51) gives: % 20.56/4.15 | | | | | | % 20.56/4.15 | | | | | | Case 1: % 20.56/4.15 | | | | | | | % 20.56/4.15 | | | | | | | (757) all_16_6 = empty_set % 20.56/4.15 | | | | | | | % 20.56/4.15 | | | | | | | REDUCE: (756), (757) imply: % 20.56/4.15 | | | | | | | (758) $false % 20.56/4.15 | | | | | | | % 20.56/4.15 | | | | | | | CLOSE: (758) is inconsistent. % 20.56/4.15 | | | | | | | % 20.56/4.15 | | | | | | Case 2: % 20.56/4.15 | | | | | | | % 20.56/4.15 | | | | | | | (759) all_30_1 = all_16_7 | all_16_7 = empty_set % 20.56/4.15 | | | | | | | % 20.56/4.15 | | | | | | | BETA: splitting (272) gives: % 20.56/4.15 | | | | | | | % 20.56/4.15 | | | | | | | Case 1: % 20.56/4.15 | | | | | | | | % 20.56/4.15 | | | | | | | | (760) all_62_1 = all_16_7 % 20.56/4.15 | | | | | | | | % 20.56/4.15 | | | | | | | | COMBINE_EQS: (534), (760) imply: % 20.56/4.15 | | | | | | | | (761) all_30_1 = all_16_7 % 20.56/4.15 | | | | | | | | % 20.56/4.15 | | | | | | | | SIMP: (761) implies: % 20.56/4.15 | | | | | | | | (762) all_30_1 = all_16_7 % 20.56/4.15 | | | | | | | | % 20.56/4.15 | | | | | | | | REDUCE: (70), (762) imply: % 20.56/4.15 | | | | | | | | (763) subset(all_16_7, all_16_5) = 0 % 20.56/4.15 | | | | | | | | % 20.56/4.15 | | | | | | | | GROUND_INST: instantiating (12) with all_16_1, 0, all_16_5, % 20.56/4.15 | | | | | | | | all_16_7, simplifying with (22), (763) gives: % 20.56/4.15 | | | | | | | | (764) all_16_1 = 0 % 20.56/4.15 | | | | | | | | % 20.56/4.15 | | | | | | | | REDUCE: (747), (764) imply: % 20.56/4.15 | | | | | | | | (765) $false % 20.56/4.15 | | | | | | | | % 20.56/4.15 | | | | | | | | CLOSE: (765) is inconsistent. % 20.56/4.15 | | | | | | | | % 20.56/4.15 | | | | | | | Case 2: % 20.56/4.15 | | | | | | | | % 20.56/4.15 | | | | | | | | (766) ~ (all_62_1 = all_16_7) % 20.56/4.15 | | | | | | | | % 20.56/4.15 | | | | | | | | REDUCE: (534), (766) imply: % 20.56/4.15 | | | | | | | | (767) ~ (all_30_1 = all_16_7) % 20.56/4.15 | | | | | | | | % 20.56/4.15 | | | | | | | | REF_CLOSE: (755), (759), (767) are inconsistent by sub-proof #1. % 20.56/4.15 | | | | | | | | % 20.56/4.15 | | | | | | | End of split % 20.56/4.15 | | | | | | | % 20.56/4.15 | | | | | | End of split % 20.56/4.15 | | | | | | % 20.56/4.15 | | | | | End of split % 20.56/4.15 | | | | | % 20.56/4.15 | | | | Case 2: % 20.56/4.15 | | | | | % 20.56/4.15 | | | | | (768) ? [v0: int] : ( ~ (v0 = 0) & subset(all_16_6, all_16_4) = % 20.56/4.15 | | | | | v0) % 20.56/4.15 | | | | | % 20.56/4.15 | | | | | DELTA: instantiating (768) with fresh symbol all_314_0 gives: % 20.56/4.15 | | | | | (769) ~ (all_314_0 = 0) & subset(all_16_6, all_16_4) = all_314_0 % 20.56/4.15 | | | | | % 20.56/4.15 | | | | | ALPHA: (769) implies: % 20.56/4.15 | | | | | (770) ~ (all_314_0 = 0) % 20.56/4.15 | | | | | (771) subset(all_16_6, all_16_4) = all_314_0 % 20.56/4.15 | | | | | % 20.56/4.15 | | | | | GROUND_INST: instantiating (12) with 0, all_314_0, all_16_4, all_16_6, % 20.56/4.15 | | | | | simplifying with (748), (771) gives: % 20.56/4.15 | | | | | (772) all_314_0 = 0 % 20.56/4.15 | | | | | % 20.56/4.15 | | | | | REDUCE: (770), (772) imply: % 20.56/4.15 | | | | | (773) $false % 20.56/4.15 | | | | | % 20.56/4.15 | | | | | CLOSE: (773) is inconsistent. % 20.56/4.15 | | | | | % 20.56/4.15 | | | | End of split % 20.56/4.15 | | | | % 20.56/4.15 | | | End of split % 20.56/4.15 | | | % 20.56/4.16 | | Case 2: % 20.56/4.16 | | | % 20.56/4.16 | | | (774) ? [v0: int] : ( ~ (v0 = 0) & subset(all_30_1, all_16_5) = v0) % 20.56/4.16 | | | % 20.56/4.16 | | | DELTA: instantiating (774) with fresh symbol all_106_0 gives: % 20.56/4.16 | | | (775) ~ (all_106_0 = 0) & subset(all_30_1, all_16_5) = all_106_0 % 20.56/4.16 | | | % 20.56/4.16 | | | ALPHA: (775) implies: % 20.56/4.16 | | | (776) ~ (all_106_0 = 0) % 20.56/4.16 | | | (777) subset(all_30_1, all_16_5) = all_106_0 % 20.56/4.16 | | | % 20.56/4.16 | | | GROUND_INST: instantiating (12) with 0, all_106_0, all_16_5, all_30_1, % 20.56/4.16 | | | simplifying with (70), (777) gives: % 20.56/4.16 | | | (778) all_106_0 = 0 % 20.56/4.16 | | | % 20.56/4.16 | | | REDUCE: (776), (778) imply: % 20.56/4.16 | | | (779) $false % 20.56/4.16 | | | % 20.56/4.16 | | | CLOSE: (779) is inconsistent. % 20.56/4.16 | | | % 20.56/4.16 | | End of split % 20.56/4.16 | | % 20.56/4.16 | Case 2: % 20.56/4.16 | | % 20.56/4.16 | | (780) ? [v0: int] : ( ~ (v0 = 0) & subset(all_30_0, all_16_4) = v0) % 20.56/4.16 | | % 20.56/4.16 | | DELTA: instantiating (780) with fresh symbol all_102_0 gives: % 20.56/4.16 | | (781) ~ (all_102_0 = 0) & subset(all_30_0, all_16_4) = all_102_0 % 20.56/4.16 | | % 20.56/4.16 | | ALPHA: (781) implies: % 20.56/4.16 | | (782) ~ (all_102_0 = 0) % 20.56/4.16 | | (783) subset(all_30_0, all_16_4) = all_102_0 % 20.56/4.16 | | % 20.56/4.16 | | GROUND_INST: instantiating (12) with 0, all_102_0, all_16_4, all_30_0, % 20.56/4.16 | | simplifying with (76), (783) gives: % 20.56/4.16 | | (784) all_102_0 = 0 % 20.56/4.16 | | % 20.56/4.16 | | REDUCE: (782), (784) imply: % 20.56/4.16 | | (785) $false % 20.56/4.16 | | % 20.56/4.16 | | CLOSE: (785) is inconsistent. % 20.56/4.16 | | % 20.56/4.16 | End of split % 20.56/4.16 | % 20.56/4.16 End of proof % 20.56/4.16 % 20.56/4.16 Sub-proof #1 shows that the following formulas are inconsistent: % 20.56/4.16 ---------------------------------------------------------------- % 20.56/4.16 (1) all_30_1 = all_16_7 | all_30_1 = empty_set % 20.56/4.16 (2) ~ (all_30_1 = all_16_7) % 20.56/4.16 (3) all_30_1 = all_16_7 | all_16_7 = empty_set % 20.56/4.16 % 20.56/4.16 Begin of proof % 20.56/4.16 | % 20.56/4.16 | BETA: splitting (1) gives: % 20.56/4.16 | % 20.56/4.16 | Case 1: % 20.56/4.16 | | % 20.56/4.16 | | (4) all_30_1 = empty_set % 20.56/4.16 | | % 20.56/4.16 | | REDUCE: (2), (4) imply: % 20.56/4.16 | | (5) ~ (all_16_7 = empty_set) % 20.56/4.16 | | % 20.56/4.16 | | SIMP: (5) implies: % 20.56/4.16 | | (6) ~ (all_16_7 = empty_set) % 20.56/4.16 | | % 20.56/4.16 | | BETA: splitting (3) gives: % 20.56/4.16 | | % 20.56/4.16 | | Case 1: % 20.56/4.16 | | | % 20.56/4.16 | | | (7) all_16_7 = empty_set % 20.56/4.16 | | | % 20.56/4.16 | | | REDUCE: (6), (7) imply: % 20.56/4.16 | | | (8) $false % 20.56/4.16 | | | % 20.56/4.16 | | | CLOSE: (8) is inconsistent. % 20.56/4.16 | | | % 20.56/4.16 | | Case 2: % 20.56/4.16 | | | % 20.56/4.16 | | | (9) all_30_1 = all_16_7 % 20.56/4.16 | | | % 20.56/4.16 | | | COMBINE_EQS: (4), (9) imply: % 20.56/4.16 | | | (10) all_16_7 = empty_set % 20.56/4.16 | | | % 20.56/4.16 | | | SIMP: (10) implies: % 20.56/4.16 | | | (11) all_16_7 = empty_set % 20.56/4.16 | | | % 20.56/4.16 | | | REDUCE: (6), (11) imply: % 20.56/4.16 | | | (12) $false % 20.56/4.16 | | | % 20.56/4.16 | | | CLOSE: (12) is inconsistent. % 20.56/4.16 | | | % 20.56/4.16 | | End of split % 20.56/4.16 | | % 20.56/4.16 | Case 2: % 20.56/4.16 | | % 20.56/4.16 | | (13) all_30_1 = all_16_7 % 20.56/4.16 | | % 20.56/4.16 | | REDUCE: (2), (13) imply: % 20.56/4.16 | | (14) $false % 20.56/4.16 | | % 20.56/4.16 | | CLOSE: (14) is inconsistent. % 20.56/4.16 | | % 20.56/4.16 | End of split % 20.56/4.16 | % 20.56/4.16 End of proof % 20.56/4.16 % 20.56/4.16 Sub-proof #2 shows that the following formulas are inconsistent: % 20.56/4.16 ---------------------------------------------------------------- % 20.56/4.16 (1) ! [v0: $i] : ! [v1: $i] : (v1 = empty_set | ~ (cartesian_product2(v0, % 20.56/4.16 empty_set) = v1) | ~ $i(v0)) % 20.56/4.16 (2) cartesian_product2(all_30_1, empty_set) = all_16_3 % 20.56/4.16 (3) $i(all_30_1) % 20.56/4.16 (4) ~ (all_16_3 = empty_set) % 20.56/4.16 % 20.56/4.16 Begin of proof % 20.56/4.16 | % 20.56/4.16 | GROUND_INST: instantiating (1) with all_30_1, all_16_3, simplifying with (2), % 20.56/4.16 | (3) gives: % 20.56/4.16 | (5) all_16_3 = empty_set % 20.56/4.16 | % 20.56/4.16 | REDUCE: (4), (5) imply: % 20.56/4.16 | (6) $false % 20.56/4.16 | % 20.56/4.16 | CLOSE: (6) is inconsistent. % 20.56/4.16 | % 20.56/4.16 End of proof % 20.56/4.16 % SZS output end Proof for theBenchmark % 20.56/4.16 % 20.56/4.16 3542ms %------------------------------------------------------------------------------