%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWW664_2 : TPTP v8.1.2. Released v6.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n008.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 : Fri Sep 1 00:51:03 EDT 2023 % Result : Theorem 27.48s 4.63s % Output : Proof 69.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SWW664_2 : TPTP v8.1.2. Released v6.1.0. % 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.32 % Computer : n008.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 300 % 0.10/0.32 % DateTime : Sun Aug 27 18:02:17 EDT 2023 % 0.10/0.32 % CPUTime : % 0.15/0.57 ________ _____ % 0.15/0.57 ___ __ \_________(_)________________________________ % 0.15/0.57 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.15/0.57 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.15/0.57 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.15/0.57 % 0.15/0.57 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.15/0.57 (2023-06-19) % 0.15/0.57 % 0.15/0.57 (c) Philipp Rümmer, 2009-2023 % 0.15/0.57 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.15/0.57 Amanda Stjerna. % 0.15/0.57 Free software under BSD-3-Clause. % 0.15/0.57 % 0.15/0.57 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.15/0.57 % 0.15/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.15/0.59 Running up to 7 provers in parallel. % 0.15/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.15/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.15/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.15/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.15/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.15/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.15/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.38/1.52 Prover 1: Preprocessing ... % 4.38/1.52 Prover 4: Preprocessing ... % 5.06/1.54 Prover 0: Preprocessing ... % 5.06/1.54 Prover 5: Preprocessing ... % 5.06/1.54 Prover 3: Preprocessing ... % 5.06/1.55 Prover 2: Preprocessing ... % 5.06/1.56 Prover 6: Preprocessing ... % 13.04/2.74 Prover 1: Warning: ignoring some quantifiers % 14.10/2.88 Prover 3: Warning: ignoring some quantifiers % 14.10/2.88 Prover 4: Warning: ignoring some quantifiers % 14.10/2.89 Prover 1: Constructing countermodel ... % 14.10/2.89 Prover 6: Proving ... % 14.10/2.91 Prover 3: Constructing countermodel ... % 14.10/2.94 Prover 5: Proving ... % 15.31/2.95 Prover 4: Constructing countermodel ... % 15.31/3.01 Prover 0: Proving ... % 16.05/3.08 Prover 2: Proving ... % 27.48/4.62 Prover 0: proved (4014ms) % 27.48/4.62 % 27.48/4.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 27.48/4.63 % 27.48/4.63 Prover 3: stopped % 27.48/4.63 Prover 2: stopped % 27.48/4.63 Prover 5: stopped % 27.48/4.63 Prover 6: stopped % 27.48/4.63 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 27.48/4.63 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 27.48/4.63 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 27.48/4.63 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 27.48/4.64 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 29.08/4.87 Prover 8: Preprocessing ... % 29.08/4.88 Prover 11: Preprocessing ... % 29.08/4.88 Prover 13: Preprocessing ... % 30.29/4.99 Prover 7: Preprocessing ... % 30.29/5.00 Prover 10: Preprocessing ... % 32.90/5.37 Prover 7: Warning: ignoring some quantifiers % 32.90/5.37 Prover 8: Warning: ignoring some quantifiers % 32.90/5.40 Prover 10: Warning: ignoring some quantifiers % 32.90/5.41 Prover 8: Constructing countermodel ... % 33.48/5.44 Prover 7: Constructing countermodel ... % 33.48/5.45 Prover 10: Constructing countermodel ... % 33.48/5.46 Prover 11: Warning: ignoring some quantifiers % 33.96/5.51 Prover 13: Warning: ignoring some quantifiers % 33.96/5.52 Prover 11: Constructing countermodel ... % 34.62/5.57 Prover 13: Constructing countermodel ... % 66.47/9.83 Prover 13: stopped % 66.47/9.83 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 67.67/9.94 Prover 16: Preprocessing ... % 69.05/10.09 Prover 11: Found proof (size 205) % 69.05/10.09 Prover 11: proved (5457ms) % 69.05/10.09 Prover 7: stopped % 69.05/10.09 Prover 10: stopped % 69.05/10.09 Prover 4: stopped % 69.05/10.10 Prover 16: stopped % 69.05/10.10 Prover 1: stopped % 69.05/10.10 Prover 8: stopped % 69.05/10.11 % 69.05/10.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 69.05/10.11 % 69.28/10.14 % SZS output start Proof for theBenchmark % 69.28/10.15 Assumptions after simplification: % 69.28/10.15 --------------------------------- % 69.28/10.15 % 69.28/10.15 (bridgeL1) % 69.28/10.17 ! [v0: map_int_int] : ! [v1: uni] : ( ~ (t2tb1(v0) = v1) | ~ % 69.28/10.17 map_int_int(v0) | tb2t1(v1) = v0) % 69.28/10.17 % 69.28/10.17 (bridgeR) % 69.28/10.17 ! [v0: uni] : ! [v1: int] : ( ~ (tb2t(v0) = v1) | ~ uni(v0) | t2tb(v1) = % 69.28/10.17 v0) % 69.28/10.17 % 69.28/10.17 (bridgeR2) % 69.28/10.17 ! [v0: uni] : ! [v1: array_int] : ( ~ (tb2t2(v0) = v1) | ~ uni(v0) | % 69.28/10.17 t2tb2(v1) = v0) % 69.28/10.17 % 69.28/10.17 (elts_def1) % 69.28/10.17 ty(int) & ! [v0: ty] : ! [v1: int] : ! [v2: uni] : ! [v3: uni] : ( ~ % 69.28/10.17 (mk_array1(v0, v1, v2) = v3) | ~ ty(v0) | ~ uni(v2) | ? [v4: ty] : ? % 69.28/10.17 [v5: int] : ? [v6: uni] : ((v6 = v2 & elts(v0, v3) = v2) | ( ~ (v5 = 0) & % 69.28/10.17 map(int, v0) = v4 & sort1(v4, v2) = v5 & ty(v4)))) % 69.28/10.17 % 69.28/10.17 (get_def) % 69.28/10.17 ty(int) & ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ! [v3: uni] : ! [v4: % 69.28/10.17 uni] : ! [v5: uni] : ( ~ (t2tb(v2) = v4) | ~ (elts(v0, v1) = v3) | ~ % 69.28/10.17 (get(v0, int, v3, v4) = v5) | ~ ty(v0) | ~ uni(v1) | (get2(v0, v1, v2) = % 69.28/10.17 v5 & uni(v5))) & ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ! [v3: uni] % 69.28/10.17 : ( ~ (get2(v0, v1, v2) = v3) | ~ ty(v0) | ~ uni(v1) | ? [v4: uni] : ? % 69.28/10.17 [v5: uni] : (t2tb(v2) = v5 & elts(v0, v1) = v4 & get(v0, int, v4, v5) = v3 & % 69.28/10.17 uni(v5) & uni(v4) & uni(v3))) % 69.28/10.18 % 69.28/10.18 (is_power_of_2_1) % 69.28/10.18 ! [v0: int] : ! [v1: int] : ($product(2, v1) = v0 | ~ ($lesseq(2, v0)) | ~ % 69.28/10.18 (div1(v0, 2) = v1) | ? [v2: int] : ( ~ (v2 = 0) & is_power_of_21(v0) = v2)) % 69.28/10.18 & ! [v0: int] : ( ~ ($lesseq(2, v0)) | ~ (is_power_of_21(v0) = 0) | ? [v1: % 69.28/10.18 int] : ($product(2, v1) = v0 & div1(v0, 2) = v1)) % 69.28/10.18 % 69.28/10.18 (length_def1) % 69.28/10.18 ! [v0: ty] : ! [v1: int] : ! [v2: uni] : ! [v3: uni] : ( ~ (mk_array1(v0, % 69.28/10.18 v1, v2) = v3) | ~ ty(v0) | ~ uni(v2) | length1(v0, v3) = v1) % 69.28/10.18 % 69.28/10.18 (phase1_frame2) % 69.28/10.19 ty(int) & ! [v0: int] : ! [v1: int] : ! [v2: array_int] : ! [v3: % 69.28/10.19 array_int] : ! [v4: array_int] : ! [v5: uni] : ! [v6: int] : ! [v7: int] % 69.28/10.19 : (v7 = 0 | ~ ($lesseq(0, v6)) | ~ (phase11(v0, v1, v3, v4) = v7) | ~ % 69.28/10.19 (t2tb2(v2) = v5) | ~ (length1(int, v5) = v6) | ~ array_int(v4) | ~ % 69.28/10.19 array_int(v3) | ~ array_int(v2) | ? [v8: uni] : ? [v9: int] : ? [v10: % 69.28/10.19 uni] : ? [v11: int] : ? [v12: int] : ? [v13: int] : ? [v14: uni] : ? % 69.28/10.19 [v15: int] : ? [v16: uni] : ? [v17: int] : (( ~ (v17 = v15) & $lesseq(1, % 69.28/10.19 $difference(v1, v13)) & $lesseq(1, $difference($sum(v13, v1), % 69.28/10.19 $product(2, v0))) & t2tb2(v3) = v8 & tb2t(v16) = v17 & tb2t(v14) = % 69.28/10.19 v15 & get2(int, v8, v13) = v16 & get2(int, v5, v13) = v14 & uni(v16) & % 69.28/10.19 uni(v14) & uni(v8)) | ( ~ (v12 = 0) & phase11(v0, v1, v2, v4) = v12) | % 69.28/10.19 ($lesseq(v11, -1) & t2tb2(v4) = v10 & length1(int, v10) = v11 & uni(v10)) % 69.28/10.19 | ($lesseq(v9, -1) & t2tb2(v3) = v8 & length1(int, v8) = v9 & uni(v8)))) & % 69.28/10.19 ! [v0: int] : ! [v1: int] : ! [v2: array_int] : ! [v3: array_int] : ! % 69.28/10.19 [v4: array_int] : ! [v5: uni] : ! [v6: int] : (v6 = 0 | ~ (phase11(v0, v1, % 69.28/10.19 v3, v4) = v6) | ~ (t2tb2(v2) = v5) | ~ array_int(v4) | ~ % 69.28/10.19 array_int(v3) | ~ array_int(v2) | ? [v7: int] : ? [v8: uni] : ? [v9: % 69.28/10.19 int] : ? [v10: uni] : ? [v11: int] : ? [v12: int] : ? [v13: int] : ? % 69.28/10.20 [v14: uni] : ? [v15: int] : ? [v16: uni] : ? [v17: int] : (( ~ (v17 = % 69.28/10.20 v15) & $lesseq(1, $difference(v1, v13)) & $lesseq(1, % 69.28/10.20 $difference($sum(v13, v1), $product(2, v0))) & t2tb2(v3) = v8 & % 69.28/10.20 tb2t(v16) = v17 & tb2t(v14) = v15 & get2(int, v8, v13) = v16 & get2(int, % 69.28/10.20 v5, v13) = v14 & uni(v16) & uni(v14) & uni(v8)) | ( ~ (v12 = 0) & % 69.28/10.20 phase11(v0, v1, v2, v4) = v12) | ($lesseq(v11, -1) & t2tb2(v4) = v10 & % 69.28/10.20 length1(int, v10) = v11 & uni(v10)) | ($lesseq(v9, -1) & t2tb2(v3) = v8 % 69.28/10.20 & length1(int, v8) = v9 & uni(v8)) | ($lesseq(v7, -1) & length1(int, v5) % 69.28/10.20 = v7))) & ! [v0: int] : ! [v1: int] : ! [v2: array_int] : ! [v3: % 69.28/10.20 array_int] : ! [v4: array_int] : ! [v5: uni] : ! [v6: int] : ( ~ % 69.28/10.20 ($lesseq(0, v6)) | ~ (phase11(v0, v1, v2, v4) = 0) | ~ (t2tb2(v3) = v5) | % 69.28/10.20 ~ (length1(int, v5) = v6) | ~ array_int(v4) | ~ array_int(v3) | ~ % 69.28/10.20 array_int(v2) | ? [v7: uni] : ? [v8: int] : ? [v9: uni] : ? [v10: int] : % 69.28/10.20 ? [v11: int] : ? [v12: int] : ? [v13: uni] : ? [v14: int] : ? [v15: % 69.28/10.20 uni] : ? [v16: int] : ((v11 = 0 & phase11(v0, v1, v3, v4) = 0) | ( ~ (v16 % 69.28/10.20 = v14) & $lesseq(1, $difference(v1, v12)) & $lesseq(1, % 69.28/10.20 $difference($sum(v12, v1), $product(2, v0))) & t2tb2(v2) = v7 & % 69.28/10.20 tb2t(v15) = v16 & tb2t(v13) = v14 & get2(int, v7, v12) = v13 & get2(int, % 69.28/10.20 v5, v12) = v15 & uni(v15) & uni(v13) & uni(v7)) | ($lesseq(v10, -1) & % 69.28/10.20 t2tb2(v4) = v9 & length1(int, v9) = v10 & uni(v9)) | ($lesseq(v8, -1) & % 69.28/10.20 t2tb2(v2) = v7 & length1(int, v7) = v8 & uni(v7)))) & ! [v0: int] : ! % 69.28/10.20 [v1: int] : ! [v2: array_int] : ! [v3: array_int] : ! [v4: array_int] : ! % 69.28/10.20 [v5: int] : (v5 = 0 | ~ (phase11(v0, v1, v3, v4) = v5) | ~ (phase11(v0, v1, % 69.28/10.20 v2, v4) = 0) | ~ array_int(v4) | ~ array_int(v3) | ~ array_int(v2) | % 69.28/10.20 ? [v6: uni] : ? [v7: int] : ? [v8: uni] : ? [v9: int] : ? [v10: uni] : % 69.28/10.20 ? [v11: int] : ? [v12: int] : ? [v13: uni] : ? [v14: int] : ? [v15: uni] % 69.28/10.20 : ? [v16: int] : (( ~ (v16 = v14) & $lesseq(1, $difference(v1, v12)) & % 69.28/10.20 $lesseq(1, $difference($sum(v12, v1), $product(2, v0))) & t2tb2(v3) = v8 % 69.28/10.20 & t2tb2(v2) = v6 & tb2t(v15) = v16 & tb2t(v13) = v14 & get2(int, v8, % 69.28/10.20 v12) = v15 & get2(int, v6, v12) = v13 & uni(v15) & uni(v13) & uni(v8) % 69.28/10.20 & uni(v6)) | ($lesseq(v11, -1) & t2tb2(v4) = v10 & length1(int, v10) = % 69.28/10.20 v11 & uni(v10)) | ($lesseq(v9, -1) & t2tb2(v3) = v8 & length1(int, v8) = % 69.28/10.20 v9 & uni(v8)) | ($lesseq(v7, -1) & t2tb2(v2) = v6 & length1(int, v6) = % 69.28/10.20 v7 & uni(v6)))) & ! [v0: int] : ! [v1: int] : ! [v2: array_int] : ! % 69.28/10.20 [v3: array_int] : ! [v4: array_int] : ! [v5: uni] : ( ~ (phase11(v0, v1, v2, % 69.28/10.20 v4) = 0) | ~ (t2tb2(v3) = v5) | ~ array_int(v4) | ~ array_int(v3) | % 69.28/10.20 ~ array_int(v2) | ? [v6: uni] : ? [v7: int] : ? [v8: int] : ? [v9: uni] % 69.28/10.20 : ? [v10: int] : ? [v11: int] : ? [v12: int] : ? [v13: uni] : ? [v14: % 69.28/10.20 int] : ? [v15: uni] : ? [v16: int] : ((v11 = 0 & phase11(v0, v1, v3, v4) % 69.28/10.20 = 0) | ( ~ (v16 = v14) & $lesseq(1, $difference(v1, v12)) & $lesseq(1, % 69.28/10.20 $difference($sum(v12, v1), $product(2, v0))) & t2tb2(v2) = v6 & % 69.28/10.20 tb2t(v15) = v16 & tb2t(v13) = v14 & get2(int, v6, v12) = v13 & get2(int, % 69.28/10.20 v5, v12) = v15 & uni(v15) & uni(v13) & uni(v6)) | ($lesseq(v10, -1) & % 69.28/10.20 t2tb2(v4) = v9 & length1(int, v9) = v10 & uni(v9)) | ($lesseq(v8, -1) & % 69.28/10.20 length1(int, v5) = v8) | ($lesseq(v7, -1) & t2tb2(v2) = v6 & % 69.28/10.20 length1(int, v6) = v7 & uni(v6)))) % 69.28/10.20 % 69.28/10.20 (phase1_inversion) % 69.28/10.20 ty(int) & ! [v0: int] : ! [v1: int] : ! [v2: array_int] : ! [v3: % 69.28/10.20 array_int] : ( ~ (phase11(v0, v1, v2, v3) = 0) | ~ array_int(v3) | ~ % 69.28/10.20 array_int(v2) | ? [v4: int] : ? [v5: int] : ? [v6: array_int] : ? [v7: % 69.28/10.20 array_int] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: int] : % 69.28/10.20 ? [v12: uni] : ? [v13: uni] : ? [v14: int] : ? [v15: int] : ? [v16: % 69.28/10.20 int] : ? [v17: array_int] : ? [v18: array_int] : ? [v19: uni] : ? % 69.28/10.20 [v20: uni] : ? [v21: int] : ? [v22: uni] : ? [v23: uni] : ? [v24: int] : % 69.28/10.20 (array_int(v18) & array_int(v17) & array_int(v7) & array_int(v6) & ((v24 = % 69.28/10.20 v21 & v18 = v3 & v17 = v2 & v16 = v0 & $difference(v1, v0) = 1 & % 69.28/10.20 t2tb2(v3) = v19 & t2tb2(v2) = v22 & tb2t(v23) = v21 & tb2t(v20) = v21 % 69.28/10.20 & get2(int, v22, v0) = v23 & get2(int, v19, v0) = v20 & uni(v23) & % 69.28/10.20 uni(v22) & uni(v20) & uni(v19)) | (v15 = v14 & v11 = 0 & v9 = 0 & v7 = % 69.28/10.20 v3 & v6 = v2 & v5 = v1 & v4 = v0 & $lesseq(2, $difference(v1, v0)) & % 69.28/10.20 phase11(v10, v1, v2, v3) = 0 & phase11(v8, v0, v2, v3) = 0 & % 69.28/10.20 go_right1(v0, v1) = v10 & go_left1(v0, v1) = v8 & sum3(v2, % 69.28/10.20 $sum($difference($product(2, v0), v1), 1), $sum(v0, 1)) = v14 & % 69.28/10.20 t2tb2(v3) = v12 & tb2t(v13) = v14 & get2(int, v12, v0) = v13 & % 69.28/10.20 uni(v13) & uni(v12))))) % 69.28/10.20 % 69.28/10.20 (sum_def) % 69.28/10.21 ty(int) & ! [v0: array_int] : ! [v1: int] : ! [v2: int] : ! [v3: uni] : ! % 69.28/10.21 [v4: uni] : ! [v5: map_int_int] : ! [v6: int] : ( ~ (t2tb2(v0) = v3) | ~ % 69.28/10.21 (tb2t1(v4) = v5) | ~ (sum2(v5, v1, v2) = v6) | ~ (elts(int, v3) = v4) | ~ % 69.28/10.21 array_int(v0) | sum3(v0, v1, v2) = v6) & ! [v0: array_int] : ! [v1: int] : % 69.28/10.21 ! [v2: int] : ! [v3: int] : ( ~ (sum3(v0, v1, v2) = v3) | ~ array_int(v0) | % 69.28/10.21 ? [v4: uni] : ? [v5: uni] : ? [v6: map_int_int] : (t2tb2(v0) = v4 & % 69.28/10.21 tb2t1(v5) = v6 & sum2(v6, v1, v2) = v3 & elts(int, v4) = v5 & % 69.28/10.21 map_int_int(v6) & uni(v5) & uni(v4))) % 69.28/10.21 % 69.28/10.21 (sum_def_non_empty) % 69.28/10.21 ty(int) & ! [v0: map_int_int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : % 69.28/10.21 ( ~ ($lesseq(1, $difference(v2, v1))) | ~ (sum2(v0, $sum(v1, 1), v2) = v3) | % 69.28/10.21 ~ map_int_int(v0) | ? [v4: int] : ? [v5: uni] : ? [v6: uni] : ? [v7: % 69.28/10.21 uni] : (t2tb1(v0) = v5 & sum2(v0, v1, v2) = v4 & tb2t(v7) = % 69.28/10.21 $difference(v4, v3) & t2tb(v1) = v6 & get(int, int, v5, v6) = v7 & uni(v7) % 69.28/10.21 & uni(v6) & uni(v5))) & ! [v0: map_int_int] : ! [v1: int] : ! [v2: int] % 69.28/10.21 : ! [v3: int] : ( ~ ($lesseq(1, $difference(v2, v1))) | ~ (sum2(v0, v1, v2) % 69.28/10.21 = v3) | ~ map_int_int(v0) | ? [v4: uni] : ? [v5: uni] : ? [v6: uni] : % 69.28/10.21 ? [v7: int] : (t2tb1(v0) = v4 & sum2(v0, $sum(v1, 1), v2) = $difference(v3, % 69.28/10.21 v7) & tb2t(v6) = v7 & t2tb(v1) = v5 & get(int, int, v4, v5) = v6 & % 69.28/10.21 uni(v6) & uni(v5) & uni(v4))) % 69.65/10.21 % 69.65/10.21 (sum_eq) % 69.65/10.22 ty(int) & ! [v0: map_int_int] : ! [v1: map_int_int] : ! [v2: int] : ! [v3: % 69.65/10.22 int] : ! [v4: int] : ! [v5: int] : (v5 = v4 | ~ (sum2(v1, v2, v3) = v5) | % 69.65/10.22 ~ (sum2(v0, v2, v3) = v4) | ~ map_int_int(v1) | ~ map_int_int(v0) | ? % 69.65/10.22 [v6: uni] : ? [v7: uni] : ? [v8: int] : ? [v9: uni] : ? [v10: uni] : ? % 69.65/10.22 [v11: int] : ? [v12: uni] : ? [v13: int] : ( ~ (v13 = v11) & $lesseq(1, % 69.65/10.22 $difference(v3, v8)) & $lesseq(v2, v8) & t2tb1(v1) = v7 & t2tb1(v0) = v6 % 69.65/10.22 & tb2t(v12) = v13 & tb2t(v10) = v11 & t2tb(v8) = v9 & get(int, int, v7, % 69.65/10.22 v9) = v12 & get(int, int, v6, v9) = v10 & uni(v12) & uni(v10) & uni(v9) % 69.65/10.22 & uni(v7) & uni(v6))) & ! [v0: map_int_int] : ! [v1: map_int_int] : ! % 69.65/10.22 [v2: int] : ! [v3: int] : ! [v4: uni] : ! [v5: int] : ( ~ (t2tb1(v1) = v4) % 69.65/10.22 | ~ (sum2(v0, v2, v3) = v5) | ~ map_int_int(v1) | ~ map_int_int(v0) | ? % 69.65/10.22 [v6: uni] : ? [v7: int] : ? [v8: int] : ? [v9: uni] : ? [v10: uni] : ? % 69.65/10.22 [v11: int] : ? [v12: uni] : ? [v13: int] : ((v7 = v5 & sum2(v1, v2, v3) = % 69.65/10.22 v5) | ( ~ (v13 = v11) & $lesseq(1, $difference(v3, v8)) & $lesseq(v2, % 69.65/10.22 v8) & t2tb1(v0) = v6 & tb2t(v12) = v13 & tb2t(v10) = v11 & t2tb(v8) = % 69.65/10.22 v9 & get(int, int, v6, v9) = v10 & get(int, int, v4, v9) = v12 & % 69.65/10.22 uni(v12) & uni(v10) & uni(v9) & uni(v6)))) & ! [v0: map_int_int] : ! % 69.65/10.22 [v1: map_int_int] : ! [v2: int] : ! [v3: int] : ! [v4: uni] : ! [v5: int] % 69.65/10.22 : ( ~ (t2tb1(v0) = v4) | ~ (sum2(v1, v2, v3) = v5) | ~ map_int_int(v1) | ~ % 69.65/10.22 map_int_int(v0) | ? [v6: uni] : ? [v7: int] : ? [v8: int] : ? [v9: uni] % 69.65/10.22 : ? [v10: uni] : ? [v11: int] : ? [v12: uni] : ? [v13: int] : ((v7 = v5 % 69.65/10.22 & sum2(v0, v2, v3) = v5) | ( ~ (v13 = v11) & $lesseq(1, $difference(v3, % 69.65/10.22 v8)) & $lesseq(v2, v8) & t2tb1(v1) = v6 & tb2t(v12) = v13 & % 69.65/10.22 tb2t(v10) = v11 & t2tb(v8) = v9 & get(int, int, v6, v9) = v12 & get(int, % 69.65/10.22 int, v4, v9) = v10 & uni(v12) & uni(v10) & uni(v9) & uni(v6)))) % 69.65/10.22 % 69.65/10.22 (sum_right_extension) % 69.65/10.22 ty(int) & ! [v0: map_int_int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : % 69.65/10.22 ( ~ ($lesseq(1, $difference(v2, v1))) | ~ (sum2(v0, v1, $sum(v2, -1)) = v3) | % 69.65/10.22 ~ map_int_int(v0) | ? [v4: int] : ? [v5: uni] : ? [v6: uni] : ? [v7: % 69.65/10.22 uni] : (t2tb1(v0) = v5 & sum2(v0, v1, v2) = v4 & tb2t(v7) = % 69.65/10.22 $difference(v4, v3) & t2tb($sum(v2, -1)) = v6 & get(int, int, v5, v6) = v7 % 69.65/10.22 & uni(v7) & uni(v6) & uni(v5))) & ! [v0: map_int_int] : ! [v1: int] : ! % 69.65/10.22 [v2: int] : ! [v3: int] : ( ~ ($lesseq(1, $difference(v2, v1))) | ~ % 69.65/10.22 (sum2(v0, v1, v2) = v3) | ~ map_int_int(v0) | ? [v4: int] : ? [v5: uni] : % 69.65/10.22 ? [v6: uni] : ? [v7: uni] : (t2tb1(v0) = v5 & sum2(v0, v1, $sum(v2, -1)) = % 69.65/10.22 v4 & tb2t(v7) = $difference(v3, v4) & t2tb($sum(v2, -1)) = v6 & get(int, % 69.65/10.22 int, v5, v6) = v7 & uni(v7) & uni(v6) & uni(v5))) % 69.65/10.22 % 69.65/10.22 (sum_transitivity) % 69.65/10.22 ! [v0: map_int_int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: % 69.65/10.22 int] : ! [v5: int] : ( ~ ($lesseq(v2, v3)) | ~ ($lesseq(v1, v2)) | ~ % 69.65/10.22 (sum2(v0, v2, v3) = v5) | ~ (sum2(v0, v1, v3) = v4) | ~ map_int_int(v0) | % 69.65/10.22 sum2(v0, v1, v2) = $difference(v4, v5)) & ! [v0: map_int_int] : ! [v1: % 69.65/10.22 int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ( ~ % 69.65/10.22 ($lesseq(v2, v3)) | ~ ($lesseq(v1, v2)) | ~ (sum2(v0, v2, v3) = v5) | ~ % 69.65/10.22 (sum2(v0, v1, v2) = v4) | ~ map_int_int(v0) | sum2(v0, v1, v3) = $sum(v5, % 69.65/10.22 v4)) & ! [v0: map_int_int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : % 69.65/10.22 ! [v4: int] : ! [v5: int] : ( ~ ($lesseq(v2, v3)) | ~ ($lesseq(v1, v2)) | % 69.65/10.22 ~ (sum2(v0, v1, v3) = v4) | ~ (sum2(v0, v1, v2) = v5) | ~ map_int_int(v0) % 69.65/10.22 | sum2(v0, v2, v3) = $difference(v4, v5)) % 69.65/10.22 % 69.65/10.22 (t2tb_sort1) % 69.65/10.22 ty(int) & ? [v0: ty] : (map(int, int) = v0 & ty(v0) & ! [v1: map_int_int] : % 69.65/10.23 ! [v2: uni] : ( ~ (t2tb1(v1) = v2) | ~ map_int_int(v1) | sort1(v0, v2) = % 69.65/10.23 0)) % 69.65/10.23 % 69.65/10.23 (wP_parameter_downsweep) % 69.65/10.23 ty(int) & ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: map_int_int] : % 69.65/10.23 ? [v4: int] : ? [v5: map_int_int] : ? [v6: uni] : ? [v7: uni] : ? [v8: % 69.65/10.23 uni] : ? [v9: int] : ? [v10: uni] : ? [v11: uni] : ? [v12: array_int] : % 69.65/10.23 ? [v13: uni] : ? [v14: array_int] : ? [v15: uni] : ? [v16: uni] : ? [v17: % 69.65/10.23 int] : ? [v18: int] : ( ~ (v18 = v17) & $lesseq(1, $difference(v4, v1)) & % 69.65/10.23 $lesseq(0, v4) & $lesseq(0, v2) & $lesseq(-1, $difference($product(2, v0), % 69.65/10.23 v1)) & $lesseq(1, $difference(v1, v0)) & $lesseq(0, v1) & phase11(v0, % 69.65/10.23 v1, v12, v14) = 0 & is_power_of_21($difference(v1, v0)) = 0 & tb2t2(v13) = % 69.65/10.23 v14 & tb2t2(v11) = v12 & t2tb1(v5) = v6 & t2tb1(v3) = v10 & sum2(v3, % 69.65/10.23 $sum($difference($product(2, v0), v1), 1), $sum(v0, 1)) = v18 & sum2(v3, % 69.65/10.23 0, $sum($difference($product(2, v0), v1), 1)) = v9 & tb2t(v16) = v17 & % 69.65/10.23 tb2t(v8) = v9 & t2tb(v1) = v7 & t2tb(v0) = v15 & mk_array1(int, v4, v6) = % 69.65/10.23 v13 & mk_array1(int, v2, v10) = v11 & get(int, int, v6, v15) = v16 & % 69.65/10.23 get(int, int, v6, v7) = v8 & array_int(v14) & array_int(v12) & % 69.65/10.23 map_int_int(v5) & map_int_int(v3) & uni(v16) & uni(v15) & uni(v13) & % 69.65/10.23 uni(v11) & uni(v10) & uni(v8) & uni(v7) & uni(v6)) % 69.65/10.23 % 69.65/10.23 (function-axioms) % 69.65/10.24 ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: uni] : ! [v4: uni] : ! % 69.65/10.24 [v5: ty] : ! [v6: ty] : (v1 = v0 | ~ (set(v6, v5, v4, v3, v2) = v1) | ~ % 69.65/10.24 (set(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 69.65/10.24 MultipleValueBool] : ! [v2: array_int] : ! [v3: array_int] : ! [v4: int] % 69.65/10.24 : ! [v5: int] : (v1 = v0 | ~ (partial_sum1(v5, v4, v3, v2) = v1) | ~ % 69.65/10.24 (partial_sum1(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 69.65/10.24 MultipleValueBool] : ! [v2: array_int] : ! [v3: array_int] : ! [v4: int] % 69.65/10.24 : ! [v5: int] : (v1 = v0 | ~ (phase11(v5, v4, v3, v2) = v1) | ~ % 69.65/10.24 (phase11(v5, v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] % 69.65/10.24 : ! [v3: int] : ! [v4: uni] : ! [v5: ty] : (v1 = v0 | ~ (set2(v5, v4, v3, % 69.65/10.24 v2) = v1) | ~ (set2(v5, v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: % 69.65/10.24 uni] : ! [v2: uni] : ! [v3: uni] : ! [v4: ty] : ! [v5: ty] : (v1 = v0 | % 69.65/10.24 ~ (get(v5, v4, v3, v2) = v1) | ~ (get(v5, v4, v3, v2) = v0)) & ! [v0: uni] % 69.65/10.24 : ! [v1: uni] : ! [v2: uni] : ! [v3: uni] : ! [v4: bool1] : ! [v5: ty] : % 69.65/10.24 (v1 = v0 | ~ (match_bool1(v5, v4, v3, v2) = v1) | ~ (match_bool1(v5, v4, v3, % 69.65/10.24 v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : % 69.65/10.24 ! [v4: array_int] : (v1 = v0 | ~ (sum3(v4, v3, v2) = v1) | ~ (sum3(v4, v3, % 69.65/10.24 v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : % 69.65/10.24 ! [v4: map_int_int] : (v1 = v0 | ~ (sum2(v4, v3, v2) = v1) | ~ (sum2(v4, % 69.65/10.24 v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: % 69.65/10.24 int] : ! [v4: ty] : (v1 = v0 | ~ (make1(v4, v3, v2) = v1) | ~ (make1(v4, % 69.65/10.24 v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: int] : ! [v3: % 69.65/10.24 uni] : ! [v4: ty] : (v1 = v0 | ~ (get2(v4, v3, v2) = v1) | ~ (get2(v4, % 69.65/10.24 v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: % 69.65/10.24 int] : ! [v4: ty] : (v1 = v0 | ~ (mk_array1(v4, v3, v2) = v1) | ~ % 69.65/10.24 (mk_array1(v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : % 69.65/10.24 ! [v3: ty] : ! [v4: ty] : (v1 = v0 | ~ (const(v4, v3, v2) = v1) | ~ % 69.65/10.24 (const(v4, v3, v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! % 69.65/10.24 [v3: int] : (v1 = v0 | ~ (go_right1(v3, v2) = v1) | ~ (go_right1(v3, v2) = % 69.65/10.24 v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v1 = % 69.65/10.24 v0 | ~ (go_left1(v3, v2) = v1) | ~ (go_left1(v3, v2) = v0)) & ! [v0: uni] % 69.65/10.24 : ! [v1: uni] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | ~ (elts(v3, v2) = % 69.65/10.24 v1) | ~ (elts(v3, v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: uni] % 69.65/10.24 : ! [v3: ty] : (v1 = v0 | ~ (length1(v3, v2) = v1) | ~ (length1(v3, v2) = % 69.65/10.24 v0)) & ! [v0: ty] : ! [v1: ty] : ! [v2: ty] : ! [v3: ty] : (v1 = v0 | % 69.65/10.24 ~ (map(v3, v2) = v1) | ~ (map(v3, v2) = v0)) & ! [v0: int] : ! [v1: int] % 69.65/10.24 : ! [v2: int] : ! [v3: int] : (v1 = v0 | ~ (power1(v3, v2) = v1) | ~ % 69.65/10.24 (power1(v3, v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! % 69.65/10.24 [v3: int] : (v1 = v0 | ~ (div1(v3, v2) = v1) | ~ (div1(v3, v2) = v0)) & ! % 69.65/10.24 [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v1 = v0 | ~ % 69.65/10.24 (mod1(v3, v2) = v1) | ~ (mod1(v3, v2) = v0)) & ! [v0: MultipleValueBool] : % 69.65/10.24 ! [v1: MultipleValueBool] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | ~ % 69.65/10.24 (sort1(v3, v2) = v1) | ~ (sort1(v3, v2) = v0)) & ! [v0: MultipleValueBool] % 69.65/10.24 : ! [v1: MultipleValueBool] : ! [v2: int] : (v1 = v0 | ~ % 69.65/10.24 (is_power_of_21(v2) = v1) | ~ (is_power_of_21(v2) = v0)) & ! [v0: % 69.65/10.24 array_int] : ! [v1: array_int] : ! [v2: uni] : (v1 = v0 | ~ (tb2t2(v2) = % 69.65/10.24 v1) | ~ (tb2t2(v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: % 69.65/10.24 array_int] : (v1 = v0 | ~ (t2tb2(v2) = v1) | ~ (t2tb2(v2) = v0)) & ! [v0: % 69.65/10.24 map_int_int] : ! [v1: map_int_int] : ! [v2: uni] : (v1 = v0 | ~ % 69.65/10.24 (tb2t1(v2) = v1) | ~ (tb2t1(v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! % 69.65/10.24 [v2: map_int_int] : (v1 = v0 | ~ (t2tb1(v2) = v1) | ~ (t2tb1(v2) = v0)) & ! % 69.65/10.24 [v0: int] : ! [v1: int] : ! [v2: uni] : (v1 = v0 | ~ (tb2t(v2) = v1) | ~ % 69.65/10.24 (tb2t(v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: int] : (v1 = v0 | % 69.65/10.24 ~ (t2tb(v2) = v1) | ~ (t2tb(v2) = v0)) & ! [v0: ty] : ! [v1: ty] : ! % 69.65/10.24 [v2: ty] : (v1 = v0 | ~ (array(v2) = v1) | ~ (array(v2) = v0)) & ! [v0: % 69.65/10.25 int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (abs1(v2) = v1) | ~ % 69.65/10.25 (abs1(v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: ty] : (v1 = v0 | ~ % 69.65/10.25 (witness1(v2) = v1) | ~ (witness1(v2) = v0)) % 69.65/10.25 % 69.65/10.25 Further assumptions not needed in the proof: % 69.65/10.25 -------------------------------------------- % 69.65/10.25 abs_def, abs_le, abs_pos, array_inversion1, bool_inversion, bridgeL, bridgeL2, % 69.65/10.25 bridgeR1, compatOrderMult, const, const_sort1, div_1, div_bound, div_inf, % 69.65/10.25 div_mod, div_mod_2, div_mult, div_sign_neg, div_sign_pos, elts_sort1, get_sort2, % 69.65/10.25 get_sort3, go_left_def, go_right_def, is_power_of_2_def, leaf, make_def, % 69.65/10.25 make_sort1, match_bool_False, match_bool_True, match_bool_sort1, mk_array_sort1, % 69.65/10.25 mod_1, mod_bound, mod_inf, mod_mult, mod_sign_neg, mod_sign_pos, node, % 69.65/10.25 partial_sum_def, phase1_frame, power_0, power_1, power_mult, power_mult2, % 69.65/10.25 power_s, power_s_alt, power_sum, rounds_toward_zero, select_eq, select_neq, % 69.65/10.25 set_def, set_sort2, set_sort3, sum_def_empty, t2tb_sort, t2tb_sort2, true_False, % 69.65/10.25 tuple0_inversion, witness_sort1 % 69.65/10.25 % 69.65/10.25 Those formulas are unsatisfiable: % 69.65/10.25 --------------------------------- % 69.65/10.25 % 69.65/10.25 Begin of proof % 69.65/10.25 | % 69.65/10.25 | ALPHA: (elts_def1) implies: % 69.65/10.25 | (1) ! [v0: ty] : ! [v1: int] : ! [v2: uni] : ! [v3: uni] : ( ~ % 69.65/10.25 | (mk_array1(v0, v1, v2) = v3) | ~ ty(v0) | ~ uni(v2) | ? [v4: ty] : % 69.65/10.25 | ? [v5: int] : ? [v6: uni] : ((v6 = v2 & elts(v0, v3) = v2) | ( ~ % 69.65/10.25 | (v5 = 0) & map(int, v0) = v4 & sort1(v4, v2) = v5 & ty(v4)))) % 69.65/10.25 | % 69.65/10.25 | ALPHA: (get_def) implies: % 69.65/10.25 | (2) ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ! [v3: uni] : ! [v4: uni] % 69.65/10.25 | : ! [v5: uni] : ( ~ (t2tb(v2) = v4) | ~ (elts(v0, v1) = v3) | ~ % 69.65/10.25 | (get(v0, int, v3, v4) = v5) | ~ ty(v0) | ~ uni(v1) | (get2(v0, v1, % 69.65/10.25 | v2) = v5 & uni(v5))) % 69.65/10.25 | % 69.65/10.25 | ALPHA: (t2tb_sort1) implies: % 69.65/10.25 | (3) ? [v0: ty] : (map(int, int) = v0 & ty(v0) & ! [v1: map_int_int] : ! % 69.65/10.25 | [v2: uni] : ( ~ (t2tb1(v1) = v2) | ~ map_int_int(v1) | sort1(v0, v2) % 69.65/10.25 | = 0)) % 69.65/10.25 | % 69.65/10.25 | ALPHA: (sum_def_non_empty) implies: % 69.65/10.26 | (4) ! [v0: map_int_int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ( ~ % 69.65/10.26 | ($lesseq(1, $difference(v2, v1))) | ~ (sum2(v0, v1, v2) = v3) | ~ % 69.65/10.26 | map_int_int(v0) | ? [v4: uni] : ? [v5: uni] : ? [v6: uni] : ? % 69.65/10.26 | [v7: int] : (t2tb1(v0) = v4 & sum2(v0, $sum(v1, 1), v2) = % 69.65/10.26 | $difference(v3, v7) & tb2t(v6) = v7 & t2tb(v1) = v5 & get(int, int, % 69.65/10.26 | v4, v5) = v6 & uni(v6) & uni(v5) & uni(v4))) % 69.65/10.26 | (5) ! [v0: map_int_int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ( ~ % 69.65/10.26 | ($lesseq(1, $difference(v2, v1))) | ~ (sum2(v0, $sum(v1, 1), v2) = % 69.65/10.26 | v3) | ~ map_int_int(v0) | ? [v4: int] : ? [v5: uni] : ? [v6: % 69.65/10.26 | uni] : ? [v7: uni] : (t2tb1(v0) = v5 & sum2(v0, v1, v2) = v4 & % 69.65/10.26 | tb2t(v7) = $difference(v4, v3) & t2tb(v1) = v6 & get(int, int, v5, % 69.65/10.26 | v6) = v7 & uni(v7) & uni(v6) & uni(v5))) % 69.65/10.26 | % 69.65/10.26 | ALPHA: (sum_right_extension) implies: % 69.65/10.26 | (6) ! [v0: map_int_int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ( ~ % 69.65/10.26 | ($lesseq(1, $difference(v2, v1))) | ~ (sum2(v0, v1, v2) = v3) | ~ % 69.65/10.26 | map_int_int(v0) | ? [v4: int] : ? [v5: uni] : ? [v6: uni] : ? % 69.65/10.26 | [v7: uni] : (t2tb1(v0) = v5 & sum2(v0, v1, $sum(v2, -1)) = v4 & % 69.65/10.26 | tb2t(v7) = $difference(v3, v4) & t2tb($sum(v2, -1)) = v6 & get(int, % 69.65/10.26 | int, v5, v6) = v7 & uni(v7) & uni(v6) & uni(v5))) % 69.65/10.26 | (7) ! [v0: map_int_int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ( ~ % 69.65/10.26 | ($lesseq(1, $difference(v2, v1))) | ~ (sum2(v0, v1, $sum(v2, -1)) = % 69.65/10.26 | v3) | ~ map_int_int(v0) | ? [v4: int] : ? [v5: uni] : ? [v6: % 69.65/10.26 | uni] : ? [v7: uni] : (t2tb1(v0) = v5 & sum2(v0, v1, v2) = v4 & % 69.65/10.26 | tb2t(v7) = $difference(v4, v3) & t2tb($sum(v2, -1)) = v6 & get(int, % 69.65/10.26 | int, v5, v6) = v7 & uni(v7) & uni(v6) & uni(v5))) % 69.65/10.26 | % 69.65/10.26 | ALPHA: (sum_transitivity) implies: % 69.65/10.26 | (8) ! [v0: map_int_int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! % 69.65/10.26 | [v4: int] : ! [v5: int] : ( ~ ($lesseq(v2, v3)) | ~ ($lesseq(v1, v2)) % 69.65/10.26 | | ~ (sum2(v0, v1, v3) = v4) | ~ (sum2(v0, v1, v2) = v5) | ~ % 69.65/10.26 | map_int_int(v0) | sum2(v0, v2, v3) = $difference(v4, v5)) % 69.65/10.26 | % 69.65/10.26 | ALPHA: (sum_eq) implies: % 69.65/10.27 | (9) ! [v0: map_int_int] : ! [v1: map_int_int] : ! [v2: int] : ! [v3: % 69.65/10.27 | int] : ! [v4: int] : ! [v5: int] : (v5 = v4 | ~ (sum2(v1, v2, v3) % 69.65/10.27 | = v5) | ~ (sum2(v0, v2, v3) = v4) | ~ map_int_int(v1) | ~ % 69.65/10.27 | map_int_int(v0) | ? [v6: uni] : ? [v7: uni] : ? [v8: int] : ? % 69.65/10.27 | [v9: uni] : ? [v10: uni] : ? [v11: int] : ? [v12: uni] : ? [v13: % 69.65/10.27 | int] : ( ~ (v13 = v11) & $lesseq(1, $difference(v3, v8)) & % 69.65/10.27 | $lesseq(v2, v8) & t2tb1(v1) = v7 & t2tb1(v0) = v6 & tb2t(v12) = v13 % 69.65/10.27 | & tb2t(v10) = v11 & t2tb(v8) = v9 & get(int, int, v7, v9) = v12 & % 69.65/10.27 | get(int, int, v6, v9) = v10 & uni(v12) & uni(v10) & uni(v9) & % 69.65/10.27 | uni(v7) & uni(v6))) % 69.65/10.27 | % 69.65/10.27 | ALPHA: (sum_def) implies: % 69.65/10.27 | (10) ! [v0: array_int] : ! [v1: int] : ! [v2: int] : ! [v3: uni] : ! % 69.65/10.27 | [v4: uni] : ! [v5: map_int_int] : ! [v6: int] : ( ~ (t2tb2(v0) = v3) % 69.65/10.27 | | ~ (tb2t1(v4) = v5) | ~ (sum2(v5, v1, v2) = v6) | ~ (elts(int, % 69.65/10.27 | v3) = v4) | ~ array_int(v0) | sum3(v0, v1, v2) = v6) % 69.65/10.27 | % 69.65/10.27 | ALPHA: (is_power_of_2_1) implies: % 69.65/10.27 | (11) ! [v0: int] : ( ~ ($lesseq(2, v0)) | ~ (is_power_of_21(v0) = 0) | ? % 69.65/10.27 | [v1: int] : ($product(2, v1) = v0 & div1(v0, 2) = v1)) % 69.65/10.27 | % 69.65/10.27 | ALPHA: (phase1_inversion) implies: % 69.65/10.27 | (12) ! [v0: int] : ! [v1: int] : ! [v2: array_int] : ! [v3: array_int] % 69.65/10.27 | : ( ~ (phase11(v0, v1, v2, v3) = 0) | ~ array_int(v3) | ~ % 69.65/10.27 | array_int(v2) | ? [v4: int] : ? [v5: int] : ? [v6: array_int] : % 69.65/10.27 | ? [v7: array_int] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? % 69.65/10.27 | [v11: int] : ? [v12: uni] : ? [v13: uni] : ? [v14: int] : ? % 69.65/10.27 | [v15: int] : ? [v16: int] : ? [v17: array_int] : ? [v18: % 69.65/10.27 | array_int] : ? [v19: uni] : ? [v20: uni] : ? [v21: int] : ? % 69.65/10.27 | [v22: uni] : ? [v23: uni] : ? [v24: int] : (array_int(v18) & % 69.65/10.27 | array_int(v17) & array_int(v7) & array_int(v6) & ((v24 = v21 & v18 % 69.65/10.27 | = v3 & v17 = v2 & v16 = v0 & $difference(v1, v0) = 1 & % 69.65/10.27 | t2tb2(v3) = v19 & t2tb2(v2) = v22 & tb2t(v23) = v21 & % 69.65/10.27 | tb2t(v20) = v21 & get2(int, v22, v0) = v23 & get2(int, v19, % 69.65/10.27 | v0) = v20 & uni(v23) & uni(v22) & uni(v20) & uni(v19)) | % 69.65/10.27 | (v15 = v14 & v11 = 0 & v9 = 0 & v7 = v3 & v6 = v2 & v5 = v1 & v4 % 69.65/10.27 | = v0 & $lesseq(2, $difference(v1, v0)) & phase11(v10, v1, v2, % 69.65/10.27 | v3) = 0 & phase11(v8, v0, v2, v3) = 0 & go_right1(v0, v1) = % 69.65/10.27 | v10 & go_left1(v0, v1) = v8 & sum3(v2, % 69.65/10.27 | $sum($difference($product(2, v0), v1), 1), $sum(v0, 1)) = % 69.65/10.27 | v14 & t2tb2(v3) = v12 & tb2t(v13) = v14 & get2(int, v12, v0) = % 69.65/10.27 | v13 & uni(v13) & uni(v12))))) % 69.65/10.27 | % 69.65/10.27 | ALPHA: (phase1_frame2) implies: % 69.65/10.27 | (13) ! [v0: int] : ! [v1: int] : ! [v2: array_int] : ! [v3: array_int] % 69.65/10.27 | : ! [v4: array_int] : ! [v5: uni] : ! [v6: int] : ( ~ ($lesseq(0, % 69.65/10.27 | v6)) | ~ (phase11(v0, v1, v2, v4) = 0) | ~ (t2tb2(v3) = v5) | % 69.65/10.27 | ~ (length1(int, v5) = v6) | ~ array_int(v4) | ~ array_int(v3) | ~ % 69.65/10.28 | array_int(v2) | ? [v7: uni] : ? [v8: int] : ? [v9: uni] : ? % 69.65/10.28 | [v10: int] : ? [v11: int] : ? [v12: int] : ? [v13: uni] : ? % 69.65/10.28 | [v14: int] : ? [v15: uni] : ? [v16: int] : ((v11 = 0 & phase11(v0, % 69.65/10.28 | v1, v3, v4) = 0) | ( ~ (v16 = v14) & $lesseq(1, % 69.65/10.28 | $difference(v1, v12)) & $lesseq(1, $difference($sum(v12, v1), % 69.65/10.28 | $product(2, v0))) & t2tb2(v2) = v7 & tb2t(v15) = v16 & % 69.65/10.28 | tb2t(v13) = v14 & get2(int, v7, v12) = v13 & get2(int, v5, v12) % 69.65/10.28 | = v15 & uni(v15) & uni(v13) & uni(v7)) | ($lesseq(v10, -1) & % 69.65/10.28 | t2tb2(v4) = v9 & length1(int, v9) = v10 & uni(v9)) | % 69.65/10.28 | ($lesseq(v8, -1) & t2tb2(v2) = v7 & length1(int, v7) = v8 & % 69.65/10.28 | uni(v7)))) % 69.65/10.28 | % 69.65/10.28 | ALPHA: (wP_parameter_downsweep) implies: % 69.65/10.28 | (14) ty(int) % 69.98/10.28 | (15) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: map_int_int] : ? % 69.98/10.28 | [v4: int] : ? [v5: map_int_int] : ? [v6: uni] : ? [v7: uni] : ? % 69.98/10.28 | [v8: uni] : ? [v9: int] : ? [v10: uni] : ? [v11: uni] : ? [v12: % 69.98/10.28 | array_int] : ? [v13: uni] : ? [v14: array_int] : ? [v15: uni] : % 69.98/10.28 | ? [v16: uni] : ? [v17: int] : ? [v18: int] : ( ~ (v18 = v17) & % 69.98/10.28 | $lesseq(1, $difference(v4, v1)) & $lesseq(0, v4) & $lesseq(0, v2) & % 69.98/10.28 | $lesseq(-1, $difference($product(2, v0), v1)) & $lesseq(1, % 69.98/10.28 | $difference(v1, v0)) & $lesseq(0, v1) & phase11(v0, v1, v12, v14) % 69.98/10.28 | = 0 & is_power_of_21($difference(v1, v0)) = 0 & tb2t2(v13) = v14 & % 69.98/10.28 | tb2t2(v11) = v12 & t2tb1(v5) = v6 & t2tb1(v3) = v10 & sum2(v3, % 69.98/10.28 | $sum($difference($product(2, v0), v1), 1), $sum(v0, 1)) = v18 & % 69.98/10.28 | sum2(v3, 0, $sum($difference($product(2, v0), v1), 1)) = v9 & % 69.98/10.28 | tb2t(v16) = v17 & tb2t(v8) = v9 & t2tb(v1) = v7 & t2tb(v0) = v15 & % 69.98/10.28 | mk_array1(int, v4, v6) = v13 & mk_array1(int, v2, v10) = v11 & % 69.98/10.28 | get(int, int, v6, v15) = v16 & get(int, int, v6, v7) = v8 & % 69.98/10.28 | array_int(v14) & array_int(v12) & map_int_int(v5) & map_int_int(v3) % 69.98/10.28 | & uni(v16) & uni(v15) & uni(v13) & uni(v11) & uni(v10) & uni(v8) & % 69.98/10.28 | uni(v7) & uni(v6)) % 69.98/10.28 | % 69.98/10.28 | ALPHA: (function-axioms) implies: % 69.98/10.28 | (16) ! [v0: uni] : ! [v1: uni] : ! [v2: int] : (v1 = v0 | ~ (t2tb(v2) = % 69.98/10.28 | v1) | ~ (t2tb(v2) = v0)) % 69.98/10.28 | (17) ! [v0: int] : ! [v1: int] : ! [v2: uni] : (v1 = v0 | ~ (tb2t(v2) = % 69.98/10.28 | v1) | ~ (tb2t(v2) = v0)) % 69.98/10.28 | (18) ! [v0: uni] : ! [v1: uni] : ! [v2: map_int_int] : (v1 = v0 | ~ % 69.98/10.28 | (t2tb1(v2) = v1) | ~ (t2tb1(v2) = v0)) % 69.98/10.28 | (19) ! [v0: uni] : ! [v1: uni] : ! [v2: array_int] : (v1 = v0 | ~ % 69.98/10.28 | (t2tb2(v2) = v1) | ~ (t2tb2(v2) = v0)) % 69.98/10.28 | (20) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: uni] % 69.98/10.28 | : ! [v3: ty] : (v1 = v0 | ~ (sort1(v3, v2) = v1) | ~ (sort1(v3, v2) % 69.98/10.28 | = v0)) % 69.98/10.28 | (21) ! [v0: ty] : ! [v1: ty] : ! [v2: ty] : ! [v3: ty] : (v1 = v0 | ~ % 69.98/10.28 | (map(v3, v2) = v1) | ~ (map(v3, v2) = v0)) % 69.98/10.28 | (22) ! [v0: uni] : ! [v1: uni] : ! [v2: int] : ! [v3: uni] : ! [v4: % 69.98/10.28 | ty] : (v1 = v0 | ~ (get2(v4, v3, v2) = v1) | ~ (get2(v4, v3, v2) = % 69.98/10.28 | v0)) % 69.98/10.28 | (23) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: % 69.98/10.28 | array_int] : (v1 = v0 | ~ (sum3(v4, v3, v2) = v1) | ~ (sum3(v4, % 69.98/10.28 | v3, v2) = v0)) % 69.98/10.28 | (24) ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: uni] : ! [v4: % 69.98/10.28 | ty] : ! [v5: ty] : (v1 = v0 | ~ (get(v5, v4, v3, v2) = v1) | ~ % 69.98/10.28 | (get(v5, v4, v3, v2) = v0)) % 69.98/10.28 | % 69.98/10.28 | DELTA: instantiating (3) with fresh symbol all_91_0 gives: % 69.98/10.28 | (25) map(int, int) = all_91_0 & ty(all_91_0) & ! [v0: map_int_int] : ! % 69.98/10.28 | [v1: uni] : ( ~ (t2tb1(v0) = v1) | ~ map_int_int(v0) | % 69.98/10.28 | sort1(all_91_0, v1) = 0) % 69.98/10.28 | % 69.98/10.28 | ALPHA: (25) implies: % 69.98/10.29 | (26) map(int, int) = all_91_0 % 69.98/10.29 | (27) ! [v0: map_int_int] : ! [v1: uni] : ( ~ (t2tb1(v0) = v1) | ~ % 69.98/10.29 | map_int_int(v0) | sort1(all_91_0, v1) = 0) % 69.98/10.29 | % 69.98/10.29 | DELTA: instantiating (15) with fresh symbols all_101_0, all_101_1, all_101_2, % 69.98/10.29 | all_101_3, all_101_4, all_101_5, all_101_6, all_101_7, all_101_8, % 69.98/10.29 | all_101_9, all_101_10, all_101_11, all_101_12, all_101_13, all_101_14, % 69.98/10.29 | all_101_15, all_101_16, all_101_17, all_101_18 gives: % 69.98/10.29 | (28) ~ (all_101_0 = all_101_1) & $lesseq(1, $difference(all_101_14, % 69.98/10.29 | all_101_17)) & $lesseq(0, all_101_14) & $lesseq(0, all_101_16) & % 69.98/10.29 | $lesseq(-1, $difference($product(2, all_101_18), all_101_17)) & % 69.98/10.29 | $lesseq(1, $difference(all_101_17, all_101_18)) & $lesseq(0, % 69.98/10.29 | all_101_17) & phase11(all_101_18, all_101_17, all_101_6, all_101_4) % 69.98/10.29 | = 0 & is_power_of_21($difference(all_101_17, all_101_18)) = 0 & % 69.98/10.29 | tb2t2(all_101_5) = all_101_4 & tb2t2(all_101_7) = all_101_6 & % 69.98/10.29 | t2tb1(all_101_13) = all_101_12 & t2tb1(all_101_15) = all_101_8 & % 69.98/10.29 | sum2(all_101_15, $sum($difference($product(2, all_101_18), % 69.98/10.29 | all_101_17), 1), $sum(all_101_18, 1)) = all_101_0 & % 69.98/10.29 | sum2(all_101_15, 0, $sum($difference($product(2, all_101_18), % 69.98/10.29 | all_101_17), 1)) = all_101_9 & tb2t(all_101_2) = all_101_1 & % 69.98/10.29 | tb2t(all_101_10) = all_101_9 & t2tb(all_101_17) = all_101_11 & % 69.98/10.29 | t2tb(all_101_18) = all_101_3 & mk_array1(int, all_101_14, all_101_12) % 69.98/10.29 | = all_101_5 & mk_array1(int, all_101_16, all_101_8) = all_101_7 & % 69.98/10.29 | get(int, int, all_101_12, all_101_3) = all_101_2 & get(int, int, % 69.98/10.29 | all_101_12, all_101_11) = all_101_10 & array_int(all_101_4) & % 69.98/10.29 | array_int(all_101_6) & map_int_int(all_101_13) & % 69.98/10.29 | map_int_int(all_101_15) & uni(all_101_2) & uni(all_101_3) & % 69.98/10.29 | uni(all_101_5) & uni(all_101_7) & uni(all_101_8) & uni(all_101_10) & % 69.98/10.29 | uni(all_101_11) & uni(all_101_12) % 69.98/10.29 | % 69.98/10.29 | ALPHA: (28) implies: % 69.98/10.29 | (29) ~ (all_101_0 = all_101_1) % 69.98/10.29 | (30) $lesseq(1, $difference(all_101_17, all_101_18)) % 69.98/10.29 | (31) $lesseq(-1, $difference($product(2, all_101_18), all_101_17)) % 69.98/10.29 | (32) $lesseq(0, all_101_14) % 69.98/10.29 | (33) uni(all_101_12) % 69.98/10.29 | (34) uni(all_101_8) % 69.98/10.29 | (35) uni(all_101_7) % 69.98/10.29 | (36) uni(all_101_5) % 69.98/10.29 | (37) map_int_int(all_101_15) % 69.98/10.29 | (38) map_int_int(all_101_13) % 69.98/10.29 | (39) array_int(all_101_6) % 69.98/10.29 | (40) array_int(all_101_4) % 69.98/10.29 | (41) get(int, int, all_101_12, all_101_3) = all_101_2 % 69.98/10.29 | (42) mk_array1(int, all_101_16, all_101_8) = all_101_7 % 69.98/10.29 | (43) mk_array1(int, all_101_14, all_101_12) = all_101_5 % 69.98/10.29 | (44) t2tb(all_101_18) = all_101_3 % 69.98/10.29 | (45) tb2t(all_101_2) = all_101_1 % 69.98/10.29 | (46) sum2(all_101_15, 0, $sum($difference($product(2, all_101_18), % 69.98/10.29 | all_101_17), 1)) = all_101_9 % 69.98/10.29 | (47) sum2(all_101_15, $sum($difference($product(2, all_101_18), % 69.98/10.29 | all_101_17), 1), $sum(all_101_18, 1)) = all_101_0 % 69.98/10.29 | (48) t2tb1(all_101_15) = all_101_8 % 69.98/10.29 | (49) t2tb1(all_101_13) = all_101_12 % 69.98/10.29 | (50) tb2t2(all_101_7) = all_101_6 % 69.98/10.29 | (51) tb2t2(all_101_5) = all_101_4 % 69.98/10.29 | (52) is_power_of_21($difference(all_101_17, all_101_18)) = 0 % 69.98/10.29 | (53) phase11(all_101_18, all_101_17, all_101_6, all_101_4) = 0 % 69.98/10.29 | % 69.98/10.29 | GROUND_INST: instantiating (1) with int, all_101_16, all_101_8, all_101_7, % 69.98/10.29 | simplifying with (14), (34), (42) gives: % 69.98/10.29 | (54) ? [v0: ty] : ? [v1: int] : ? [v2: int] : ((v2 = all_101_8 & % 69.98/10.29 | elts(int, all_101_7) = all_101_8) | ( ~ (v1 = 0) & map(int, int) = % 69.98/10.29 | v0 & sort1(v0, all_101_8) = v1 & ty(v0))) % 69.98/10.29 | % 69.98/10.29 | GROUND_INST: instantiating (length_def1) with int, all_101_14, all_101_12, % 69.98/10.29 | all_101_5, simplifying with (14), (33), (43) gives: % 69.98/10.29 | (55) length1(int, all_101_5) = all_101_14 % 69.98/10.29 | % 69.98/10.29 | GROUND_INST: instantiating (1) with int, all_101_14, all_101_12, all_101_5, % 69.98/10.29 | simplifying with (14), (33), (43) gives: % 69.98/10.29 | (56) ? [v0: ty] : ? [v1: int] : ? [v2: int] : ((v2 = all_101_12 & % 69.98/10.29 | elts(int, all_101_5) = all_101_12) | ( ~ (v1 = 0) & map(int, int) % 69.98/10.29 | = v0 & sort1(v0, all_101_12) = v1 & ty(v0))) % 69.98/10.29 | % 69.98/10.30 | GROUND_INST: instantiating (8) with all_101_15, 0, % 69.98/10.30 | $sum($difference($product(2, all_101_18), all_101_17), 1), % 69.98/10.30 | $sum($difference($product(2, all_101_18), all_101_17), 1), % 69.98/10.30 | all_101_9, all_101_9, simplifying with (37), (46) gives: % 69.98/10.30 | (57) ~ ($lesseq(-1, $difference($product(2, all_101_18), all_101_17))) | % 69.98/10.30 | sum2(all_101_15, $sum($difference($product(2, all_101_18), % 69.98/10.30 | all_101_17), 1), $sum($difference($product(2, all_101_18), % 69.98/10.30 | all_101_17), 1)) = 0 % 69.98/10.30 | % 69.98/10.30 | GROUND_INST: instantiating (5) with all_101_15, -1, % 69.98/10.30 | $sum($difference($product(2, all_101_18), all_101_17), 1), % 69.98/10.30 | all_101_9, simplifying with (37), (46) gives: % 69.98/10.30 | (58) ~ ($lesseq(-1, $difference($product(2, all_101_18), all_101_17))) | % 69.98/10.30 | ? [v0: int] : ? [v1: uni] : ? [v2: uni] : ? [v3: uni] : % 69.98/10.30 | (t2tb1(all_101_15) = v1 & sum2(all_101_15, -1, % 69.98/10.30 | $sum($difference($product(2, all_101_18), all_101_17), 1)) = v0 & % 69.98/10.30 | tb2t(v3) = $difference(v0, all_101_9) & t2tb(-1) = v2 & get(int, % 69.98/10.30 | int, v1, v2) = v3 & uni(v3) & uni(v2) & uni(v1)) % 69.98/10.30 | % 69.98/10.30 | GROUND_INST: instantiating (7) with all_101_15, 0, % 69.98/10.30 | $sum($difference($product(2, all_101_18), all_101_17), 2), % 69.98/10.30 | all_101_9, simplifying with (37), (46) gives: % 69.98/10.30 | (59) ~ ($lesseq(-1, $difference($product(2, all_101_18), all_101_17))) | % 69.98/10.30 | ? [v0: int] : ? [v1: uni] : ? [v2: uni] : ? [v3: uni] : % 69.98/10.30 | (t2tb1(all_101_15) = v1 & sum2(all_101_15, 0, % 69.98/10.30 | $sum($difference($product(2, all_101_18), all_101_17), 2)) = v0 & % 69.98/10.30 | tb2t(v3) = $difference(v0, all_101_9) & % 69.98/10.30 | t2tb($sum($difference($product(2, all_101_18), all_101_17), 1)) = v2 % 69.98/10.30 | & get(int, int, v1, v2) = v3 & uni(v3) & uni(v2) & uni(v1)) % 69.98/10.30 | % 69.98/10.30 | GROUND_INST: instantiating (8) with all_101_15, $sum($difference($product(2, % 69.98/10.30 | all_101_18), all_101_17), 1), $sum(all_101_18, 1), % 69.98/10.30 | $sum(all_101_18, 1), all_101_0, all_101_0, simplifying with (37), % 69.98/10.30 | (47) gives: % 69.98/10.30 | (60) ~ ($lesseq(all_101_18, all_101_17)) | sum2(all_101_15, % 69.98/10.30 | $sum(all_101_18, 1), $sum(all_101_18, 1)) = 0 % 69.98/10.30 | % 69.98/10.30 | GROUND_INST: instantiating (5) with all_101_15, $difference($product(2, % 69.98/10.30 | all_101_18), all_101_17), $sum(all_101_18, 1), all_101_0, % 69.98/10.30 | simplifying with (37), (47) gives: % 69.98/10.30 | (61) ~ ($lesseq(all_101_18, all_101_17)) | ? [v0: int] : ? [v1: uni] : % 69.98/10.30 | ? [v2: uni] : ? [v3: uni] : (t2tb1(all_101_15) = v1 & % 69.98/10.30 | sum2(all_101_15, $difference($product(2, all_101_18), all_101_17), % 69.98/10.30 | $sum(all_101_18, 1)) = v0 & tb2t(v3) = $difference(v0, all_101_0) % 69.98/10.30 | & t2tb($difference($product(2, all_101_18), all_101_17)) = v2 & % 69.98/10.30 | get(int, int, v1, v2) = v3 & uni(v3) & uni(v2) & uni(v1)) % 69.98/10.30 | % 69.98/10.30 | GROUND_INST: instantiating (7) with all_101_15, $sum($difference($product(2, % 69.98/10.30 | all_101_18), all_101_17), 1), $sum(all_101_18, 2), % 69.98/10.30 | all_101_0, simplifying with (37), (47) gives: % 69.98/10.30 | (62) ~ ($lesseq(all_101_18, all_101_17)) | ? [v0: int] : ? [v1: uni] : % 69.98/10.30 | ? [v2: uni] : ? [v3: uni] : (t2tb1(all_101_15) = v1 & % 69.98/10.30 | sum2(all_101_15, $sum($difference($product(2, all_101_18), % 69.98/10.30 | all_101_17), 1), $sum(all_101_18, 2)) = v0 & tb2t(v3) = % 69.98/10.30 | $difference(v0, all_101_0) & t2tb($sum(all_101_18, 1)) = v2 & % 69.98/10.30 | get(int, int, v1, v2) = v3 & uni(v3) & uni(v2) & uni(v1)) % 69.98/10.30 | % 69.98/10.30 | GROUND_INST: instantiating (6) with all_101_15, $sum($difference($product(2, % 69.98/10.30 | all_101_18), all_101_17), 1), $sum(all_101_18, 1), % 69.98/10.30 | all_101_0, simplifying with (37), (47) gives: % 69.98/10.30 | (63) ~ ($lesseq(1, $difference(all_101_17, all_101_18))) | ? [v0: int] : % 69.98/10.30 | ? [v1: uni] : ? [v2: uni] : ? [v3: uni] : (t2tb1(all_101_15) = v1 & % 69.98/10.30 | sum2(all_101_15, $sum($difference($product(2, all_101_18), % 69.98/10.30 | all_101_17), 1), all_101_18) = v0 & tb2t(v3) = % 69.98/10.30 | $difference(all_101_0, v0) & t2tb(all_101_18) = v2 & get(int, int, % 69.98/10.30 | v1, v2) = v3 & uni(v3) & uni(v2) & uni(v1)) % 69.98/10.30 | % 69.98/10.30 | GROUND_INST: instantiating (4) with all_101_15, $sum($difference($product(2, % 69.98/10.30 | all_101_18), all_101_17), 1), $sum(all_101_18, 1), % 69.98/10.30 | all_101_0, simplifying with (37), (47) gives: % 69.98/10.30 | (64) ~ ($lesseq(1, $difference(all_101_17, all_101_18))) | ? [v0: uni] : % 69.98/10.30 | ? [v1: uni] : ? [v2: uni] : ? [v3: int] : (t2tb1(all_101_15) = v0 & % 69.98/10.30 | sum2(all_101_15, $sum($difference($product(2, all_101_18), % 69.98/10.30 | all_101_17), 2), $sum(all_101_18, 1)) = $difference(all_101_0, % 69.98/10.30 | v3) & tb2t(v2) = v3 & t2tb($sum($difference($product(2, % 69.98/10.30 | all_101_18), all_101_17), 1)) = v1 & get(int, int, v0, v1) = % 69.98/10.30 | v2 & uni(v2) & uni(v1) & uni(v0)) % 69.98/10.30 | % 69.98/10.30 | GROUND_INST: instantiating (bridgeL1) with all_101_15, all_101_8, simplifying % 69.98/10.30 | with (37), (48) gives: % 69.98/10.30 | (65) tb2t1(all_101_8) = all_101_15 % 69.98/10.30 | % 69.98/10.30 | GROUND_INST: instantiating (27) with all_101_15, all_101_8, simplifying with % 69.98/10.30 | (37), (48) gives: % 69.98/10.30 | (66) sort1(all_91_0, all_101_8) = 0 % 69.98/10.30 | % 69.98/10.30 | GROUND_INST: instantiating (27) with all_101_13, all_101_12, simplifying with % 69.98/10.30 | (38), (49) gives: % 69.98/10.30 | (67) sort1(all_91_0, all_101_12) = 0 % 69.98/10.30 | % 69.98/10.30 | GROUND_INST: instantiating (bridgeR2) with all_101_7, all_101_6, simplifying % 69.98/10.30 | with (35), (50) gives: % 69.98/10.31 | (68) t2tb2(all_101_6) = all_101_7 % 69.98/10.31 | % 69.98/10.31 | GROUND_INST: instantiating (bridgeR2) with all_101_5, all_101_4, simplifying % 69.98/10.31 | with (36), (51) gives: % 69.98/10.31 | (69) t2tb2(all_101_4) = all_101_5 % 69.98/10.31 | % 69.98/10.31 | GROUND_INST: instantiating (11) with $difference(all_101_17, all_101_18), % 69.98/10.31 | simplifying with (52) gives: % 69.98/10.31 | (70) ~ ($lesseq(2, $difference(all_101_17, all_101_18))) | ? [v0: int] : % 69.98/10.31 | ($sum($difference($product(2, v0), all_101_17), all_101_18) = 0 & % 69.98/10.31 | div1($difference(all_101_17, all_101_18), 2) = v0) % 69.98/10.31 | % 69.98/10.31 | GROUND_INST: instantiating (12) with all_101_18, all_101_17, all_101_6, % 69.98/10.31 | all_101_4, simplifying with (39), (40), (53) gives: % 69.98/10.31 | (71) ? [v0: int] : ? [v1: int] : ? [v2: array_int] : ? [v3: array_int] % 69.98/10.31 | : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: % 69.98/10.31 | uni] : ? [v9: uni] : ? [v10: int] : ? [v11: int] : ? [v12: int] % 69.98/10.31 | : ? [v13: array_int] : ? [v14: array_int] : ? [v15: uni] : ? [v16: % 69.98/10.31 | uni] : ? [v17: int] : ? [v18: uni] : ? [v19: uni] : ? [v20: int] % 69.98/10.31 | : (array_int(v14) & array_int(v13) & array_int(v3) & array_int(v2) & % 69.98/10.31 | ((v20 = v17 & v14 = all_101_4 & v13 = all_101_6 & v12 = all_101_18 & % 69.98/10.31 | $difference(all_101_17, all_101_18) = 1 & t2tb2(all_101_4) = v15 % 69.98/10.31 | & t2tb2(all_101_6) = v18 & tb2t(v19) = v17 & tb2t(v16) = v17 & % 69.98/10.31 | get2(int, v18, all_101_18) = v19 & get2(int, v15, all_101_18) = % 69.98/10.31 | v16 & uni(v19) & uni(v18) & uni(v16) & uni(v15)) | (v11 = v10 & % 69.98/10.31 | v7 = 0 & v5 = 0 & v3 = all_101_4 & v2 = all_101_6 & v1 = % 69.98/10.31 | all_101_17 & v0 = all_101_18 & $lesseq(2, % 69.98/10.31 | $difference(all_101_17, all_101_18)) & phase11(v6, all_101_17, % 69.98/10.31 | all_101_6, all_101_4) = 0 & phase11(v4, all_101_18, all_101_6, % 69.98/10.31 | all_101_4) = 0 & go_right1(all_101_18, all_101_17) = v6 & % 69.98/10.31 | go_left1(all_101_18, all_101_17) = v4 & sum3(all_101_6, % 69.98/10.31 | $sum($difference($product(2, all_101_18), all_101_17), 1), % 69.98/10.31 | $sum(all_101_18, 1)) = v10 & t2tb2(all_101_4) = v8 & tb2t(v9) % 69.98/10.31 | = v10 & get2(int, v8, all_101_18) = v9 & uni(v9) & uni(v8)))) % 69.98/10.31 | % 69.98/10.31 | DELTA: instantiating (56) with fresh symbols all_119_0, all_119_1, all_119_2 % 69.98/10.31 | gives: % 69.98/10.31 | (72) (all_119_0 = all_101_12 & elts(int, all_101_5) = all_101_12) | ( ~ % 69.98/10.31 | (all_119_1 = 0) & map(int, int) = all_119_2 & sort1(all_119_2, % 69.98/10.31 | all_101_12) = all_119_1 & ty(all_119_2)) % 69.98/10.31 | % 69.98/10.31 | DELTA: instantiating (54) with fresh symbols all_120_0, all_120_1, all_120_2 % 69.98/10.31 | gives: % 69.98/10.31 | (73) (all_120_0 = all_101_8 & elts(int, all_101_7) = all_101_8) | ( ~ % 69.98/10.31 | (all_120_1 = 0) & map(int, int) = all_120_2 & sort1(all_120_2, % 69.98/10.31 | all_101_8) = all_120_1 & ty(all_120_2)) % 69.98/10.31 | % 69.98/10.31 | DELTA: instantiating (71) with fresh symbols all_125_0, all_125_1, all_125_2, % 69.98/10.31 | all_125_3, all_125_4, all_125_5, all_125_6, all_125_7, all_125_8, % 69.98/10.31 | all_125_9, all_125_10, all_125_11, all_125_12, all_125_13, all_125_14, % 69.98/10.31 | all_125_15, all_125_16, all_125_17, all_125_18, all_125_19, all_125_20 % 69.98/10.31 | gives: % 69.98/10.31 | (74) array_int(all_125_6) & array_int(all_125_7) & array_int(all_125_17) & % 69.98/10.31 | array_int(all_125_18) & ((all_125_0 = all_125_3 & all_125_6 = % 69.98/10.31 | all_101_4 & all_125_7 = all_101_6 & all_125_8 = all_101_18 & % 69.98/10.31 | $difference(all_101_17, all_101_18) = 1 & t2tb2(all_101_4) = % 69.98/10.31 | all_125_5 & t2tb2(all_101_6) = all_125_2 & tb2t(all_125_1) = % 69.98/10.31 | all_125_3 & tb2t(all_125_4) = all_125_3 & get2(int, all_125_2, % 69.98/10.31 | all_101_18) = all_125_1 & get2(int, all_125_5, all_101_18) = % 69.98/10.31 | all_125_4 & uni(all_125_1) & uni(all_125_2) & uni(all_125_4) & % 69.98/10.31 | uni(all_125_5)) | (all_125_9 = all_125_10 & all_125_13 = 0 & % 69.98/10.31 | all_125_15 = 0 & all_125_17 = all_101_4 & all_125_18 = all_101_6 & % 69.98/10.31 | all_125_19 = all_101_17 & all_125_20 = all_101_18 & $lesseq(2, % 69.98/10.31 | $difference(all_101_17, all_101_18)) & phase11(all_125_14, % 69.98/10.31 | all_101_17, all_101_6, all_101_4) = 0 & phase11(all_125_16, % 69.98/10.31 | all_101_18, all_101_6, all_101_4) = 0 & go_right1(all_101_18, % 69.98/10.31 | all_101_17) = all_125_14 & go_left1(all_101_18, all_101_17) = % 69.98/10.31 | all_125_16 & sum3(all_101_6, $sum($difference($product(2, % 69.98/10.31 | all_101_18), all_101_17), 1), $sum(all_101_18, 1)) = % 69.98/10.31 | all_125_10 & t2tb2(all_101_4) = all_125_12 & tb2t(all_125_11) = % 69.98/10.31 | all_125_10 & get2(int, all_125_12, all_101_18) = all_125_11 & % 69.98/10.31 | uni(all_125_11) & uni(all_125_12))) % 69.98/10.31 | % 69.98/10.31 | ALPHA: (74) implies: % 69.98/10.31 | (75) (all_125_0 = all_125_3 & all_125_6 = all_101_4 & all_125_7 = all_101_6 % 69.98/10.31 | & all_125_8 = all_101_18 & $difference(all_101_17, all_101_18) = 1 & % 69.98/10.31 | t2tb2(all_101_4) = all_125_5 & t2tb2(all_101_6) = all_125_2 & % 69.98/10.31 | tb2t(all_125_1) = all_125_3 & tb2t(all_125_4) = all_125_3 & % 69.98/10.31 | get2(int, all_125_2, all_101_18) = all_125_1 & get2(int, all_125_5, % 69.98/10.31 | all_101_18) = all_125_4 & uni(all_125_1) & uni(all_125_2) & % 69.98/10.31 | uni(all_125_4) & uni(all_125_5)) | (all_125_9 = all_125_10 & % 69.98/10.31 | all_125_13 = 0 & all_125_15 = 0 & all_125_17 = all_101_4 & % 69.98/10.31 | all_125_18 = all_101_6 & all_125_19 = all_101_17 & all_125_20 = % 69.98/10.31 | all_101_18 & $lesseq(2, $difference(all_101_17, all_101_18)) & % 69.98/10.31 | phase11(all_125_14, all_101_17, all_101_6, all_101_4) = 0 & % 69.98/10.31 | phase11(all_125_16, all_101_18, all_101_6, all_101_4) = 0 & % 69.98/10.31 | go_right1(all_101_18, all_101_17) = all_125_14 & % 69.98/10.31 | go_left1(all_101_18, all_101_17) = all_125_16 & sum3(all_101_6, % 69.98/10.31 | $sum($difference($product(2, all_101_18), all_101_17), 1), % 69.98/10.31 | $sum(all_101_18, 1)) = all_125_10 & t2tb2(all_101_4) = all_125_12 % 69.98/10.31 | & tb2t(all_125_11) = all_125_10 & get2(int, all_125_12, all_101_18) % 69.98/10.31 | = all_125_11 & uni(all_125_11) & uni(all_125_12)) % 69.98/10.31 | % 69.98/10.31 | BETA: splitting (57) gives: % 69.98/10.31 | % 69.98/10.31 | Case 1: % 69.98/10.31 | | % 69.98/10.31 | | (76) sum2(all_101_15, $sum($difference($product(2, all_101_18), % 69.98/10.31 | | all_101_17), 1), $sum($difference($product(2, all_101_18), % 69.98/10.31 | | all_101_17), 1)) = 0 % 69.98/10.31 | | % 69.98/10.31 | | BETA: splitting (59) gives: % 69.98/10.31 | | % 69.98/10.31 | | Case 1: % 69.98/10.31 | | | % 69.98/10.31 | | | (77) $lesseq(2, $difference(all_101_17, $product(2, all_101_18))) % 69.98/10.31 | | | % 69.98/10.31 | | | COMBINE_INEQS: (31), (77) imply: % 69.98/10.32 | | | (78) $false % 69.98/10.32 | | | % 69.98/10.32 | | | CLOSE: (78) is inconsistent. % 69.98/10.32 | | | % 69.98/10.32 | | Case 2: % 69.98/10.32 | | | % 69.98/10.32 | | | (79) ? [v0: int] : ? [v1: uni] : ? [v2: uni] : ? [v3: uni] : % 69.98/10.32 | | | (t2tb1(all_101_15) = v1 & sum2(all_101_15, 0, % 69.98/10.32 | | | $sum($difference($product(2, all_101_18), all_101_17), 2)) = % 69.98/10.32 | | | v0 & tb2t(v3) = $difference(v0, all_101_9) & % 69.98/10.32 | | | t2tb($sum($difference($product(2, all_101_18), all_101_17), 1)) % 69.98/10.32 | | | = v2 & get(int, int, v1, v2) = v3 & uni(v3) & uni(v2) & uni(v1)) % 69.98/10.32 | | | % 69.98/10.32 | | | DELTA: instantiating (79) with fresh symbols all_135_0, all_135_1, % 69.98/10.32 | | | all_135_2, all_135_3 gives: % 69.98/10.32 | | | (80) t2tb1(all_101_15) = all_135_2 & sum2(all_101_15, 0, % 69.98/10.32 | | | $sum($difference($product(2, all_101_18), all_101_17), 2)) = % 69.98/10.32 | | | all_135_3 & tb2t(all_135_0) = $difference(all_135_3, all_101_9) & % 69.98/10.32 | | | t2tb($sum($difference($product(2, all_101_18), all_101_17), 1)) = % 69.98/10.32 | | | all_135_1 & get(int, int, all_135_2, all_135_1) = all_135_0 & % 69.98/10.32 | | | uni(all_135_0) & uni(all_135_1) & uni(all_135_2) % 69.98/10.32 | | | % 69.98/10.32 | | | ALPHA: (80) implies: % 69.98/10.32 | | | (81) get(int, int, all_135_2, all_135_1) = all_135_0 % 69.98/10.32 | | | (82) t2tb($sum($difference($product(2, all_101_18), all_101_17), 1)) = % 69.98/10.32 | | | all_135_1 % 69.98/10.32 | | | (83) tb2t(all_135_0) = $difference(all_135_3, all_101_9) % 69.98/10.32 | | | (84) t2tb1(all_101_15) = all_135_2 % 69.98/10.32 | | | % 69.98/10.32 | | | BETA: splitting (62) gives: % 69.98/10.32 | | | % 69.98/10.32 | | | Case 1: % 69.98/10.32 | | | | % 69.98/10.32 | | | | (85) $lesseq(1, $difference(all_101_18, all_101_17)) % 69.98/10.32 | | | | % 69.98/10.32 | | | | COMBINE_INEQS: (30), (85) imply: % 69.98/10.32 | | | | (86) $false % 69.98/10.32 | | | | % 69.98/10.32 | | | | CLOSE: (86) is inconsistent. % 69.98/10.32 | | | | % 69.98/10.32 | | | Case 2: % 69.98/10.32 | | | | % 69.98/10.32 | | | | (87) ? [v0: int] : ? [v1: uni] : ? [v2: uni] : ? [v3: uni] : % 69.98/10.32 | | | | (t2tb1(all_101_15) = v1 & sum2(all_101_15, % 69.98/10.32 | | | | $sum($difference($product(2, all_101_18), all_101_17), 1), % 69.98/10.32 | | | | $sum(all_101_18, 2)) = v0 & tb2t(v3) = $difference(v0, % 69.98/10.32 | | | | all_101_0) & t2tb($sum(all_101_18, 1)) = v2 & get(int, int, % 69.98/10.32 | | | | v1, v2) = v3 & uni(v3) & uni(v2) & uni(v1)) % 69.98/10.32 | | | | % 69.98/10.32 | | | | DELTA: instantiating (87) with fresh symbols all_140_0, all_140_1, % 69.98/10.32 | | | | all_140_2, all_140_3 gives: % 69.98/10.32 | | | | (88) t2tb1(all_101_15) = all_140_2 & sum2(all_101_15, % 69.98/10.32 | | | | $sum($difference($product(2, all_101_18), all_101_17), 1), % 69.98/10.32 | | | | $sum(all_101_18, 2)) = all_140_3 & tb2t(all_140_0) = % 69.98/10.32 | | | | $difference(all_140_3, all_101_0) & t2tb($sum(all_101_18, 1)) = % 69.98/10.32 | | | | all_140_1 & get(int, int, all_140_2, all_140_1) = all_140_0 & % 69.98/10.32 | | | | uni(all_140_0) & uni(all_140_1) & uni(all_140_2) % 69.98/10.32 | | | | % 69.98/10.32 | | | | ALPHA: (88) implies: % 69.98/10.32 | | | | (89) t2tb1(all_101_15) = all_140_2 % 69.98/10.32 | | | | % 69.98/10.32 | | | | BETA: splitting (60) gives: % 69.98/10.32 | | | | % 69.98/10.32 | | | | Case 1: % 69.98/10.32 | | | | | % 69.98/10.32 | | | | | (90) sum2(all_101_15, $sum(all_101_18, 1), $sum(all_101_18, 1)) = 0 % 69.98/10.32 | | | | | % 69.98/10.32 | | | | | BETA: splitting (61) gives: % 69.98/10.32 | | | | | % 69.98/10.32 | | | | | Case 1: % 69.98/10.32 | | | | | | % 69.98/10.32 | | | | | | (91) $lesseq(1, $difference(all_101_18, all_101_17)) % 69.98/10.32 | | | | | | % 69.98/10.32 | | | | | | COMBINE_INEQS: (30), (91) imply: % 69.98/10.32 | | | | | | (92) $false % 69.98/10.32 | | | | | | % 69.98/10.32 | | | | | | CLOSE: (92) is inconsistent. % 69.98/10.32 | | | | | | % 69.98/10.32 | | | | | Case 2: % 69.98/10.32 | | | | | | % 69.98/10.32 | | | | | | (93) ? [v0: int] : ? [v1: uni] : ? [v2: uni] : ? [v3: uni] : % 69.98/10.32 | | | | | | (t2tb1(all_101_15) = v1 & sum2(all_101_15, % 69.98/10.32 | | | | | | $difference($product(2, all_101_18), all_101_17), % 69.98/10.32 | | | | | | $sum(all_101_18, 1)) = v0 & tb2t(v3) = $difference(v0, % 69.98/10.32 | | | | | | all_101_0) & t2tb($difference($product(2, all_101_18), % 69.98/10.32 | | | | | | all_101_17)) = v2 & get(int, int, v1, v2) = v3 & % 69.98/10.32 | | | | | | uni(v3) & uni(v2) & uni(v1)) % 69.98/10.32 | | | | | | % 69.98/10.32 | | | | | | DELTA: instantiating (93) with fresh symbols all_150_0, all_150_1, % 69.98/10.32 | | | | | | all_150_2, all_150_3 gives: % 69.98/10.32 | | | | | | (94) t2tb1(all_101_15) = all_150_2 & sum2(all_101_15, % 69.98/10.32 | | | | | | $difference($product(2, all_101_18), all_101_17), % 69.98/10.32 | | | | | | $sum(all_101_18, 1)) = all_150_3 & tb2t(all_150_0) = % 69.98/10.32 | | | | | | $difference(all_150_3, all_101_0) & % 69.98/10.32 | | | | | | t2tb($difference($product(2, all_101_18), all_101_17)) = % 69.98/10.32 | | | | | | all_150_1 & get(int, int, all_150_2, all_150_1) = all_150_0 % 69.98/10.32 | | | | | | & uni(all_150_0) & uni(all_150_1) & uni(all_150_2) % 69.98/10.32 | | | | | | % 69.98/10.32 | | | | | | ALPHA: (94) implies: % 69.98/10.32 | | | | | | (95) t2tb1(all_101_15) = all_150_2 % 69.98/10.32 | | | | | | % 69.98/10.32 | | | | | | BETA: splitting (73) gives: % 69.98/10.32 | | | | | | % 69.98/10.32 | | | | | | Case 1: % 69.98/10.32 | | | | | | | % 69.98/10.32 | | | | | | | (96) all_120_0 = all_101_8 & elts(int, all_101_7) = all_101_8 % 69.98/10.32 | | | | | | | % 69.98/10.32 | | | | | | | ALPHA: (96) implies: % 69.98/10.32 | | | | | | | (97) elts(int, all_101_7) = all_101_8 % 69.98/10.32 | | | | | | | % 69.98/10.32 | | | | | | | BETA: splitting (58) gives: % 69.98/10.32 | | | | | | | % 69.98/10.32 | | | | | | | Case 1: % 69.98/10.32 | | | | | | | | % 69.98/10.32 | | | | | | | | (98) $lesseq(2, $difference(all_101_17, $product(2, % 69.98/10.32 | | | | | | | | all_101_18))) % 69.98/10.32 | | | | | | | | % 69.98/10.32 | | | | | | | | COMBINE_INEQS: (31), (98) imply: % 69.98/10.32 | | | | | | | | (99) $false % 69.98/10.32 | | | | | | | | % 69.98/10.32 | | | | | | | | CLOSE: (99) is inconsistent. % 69.98/10.32 | | | | | | | | % 69.98/10.32 | | | | | | | Case 2: % 69.98/10.32 | | | | | | | | % 69.98/10.33 | | | | | | | | (100) ? [v0: int] : ? [v1: uni] : ? [v2: uni] : ? [v3: % 69.98/10.33 | | | | | | | | uni] : (t2tb1(all_101_15) = v1 & sum2(all_101_15, -1, % 69.98/10.33 | | | | | | | | $sum($difference($product(2, all_101_18), % 69.98/10.33 | | | | | | | | all_101_17), 1)) = v0 & tb2t(v3) = % 69.98/10.33 | | | | | | | | $difference(v0, all_101_9) & t2tb(-1) = v2 & get(int, % 69.98/10.33 | | | | | | | | int, v1, v2) = v3 & uni(v3) & uni(v2) & uni(v1)) % 69.98/10.33 | | | | | | | | % 69.98/10.33 | | | | | | | | DELTA: instantiating (100) with fresh symbols all_160_0, % 69.98/10.33 | | | | | | | | all_160_1, all_160_2, all_160_3 gives: % 69.98/10.33 | | | | | | | | (101) t2tb1(all_101_15) = all_160_2 & sum2(all_101_15, -1, % 69.98/10.33 | | | | | | | | $sum($difference($product(2, all_101_18), % 69.98/10.33 | | | | | | | | all_101_17), 1)) = all_160_3 & tb2t(all_160_0) = % 69.98/10.33 | | | | | | | | $difference(all_160_3, all_101_9) & t2tb(-1) = % 69.98/10.33 | | | | | | | | all_160_1 & get(int, int, all_160_2, all_160_1) = % 69.98/10.33 | | | | | | | | all_160_0 & uni(all_160_0) & uni(all_160_1) & % 69.98/10.33 | | | | | | | | uni(all_160_2) % 69.98/10.33 | | | | | | | | % 69.98/10.33 | | | | | | | | ALPHA: (101) implies: % 69.98/10.33 | | | | | | | | (102) t2tb1(all_101_15) = all_160_2 % 69.98/10.33 | | | | | | | | % 69.98/10.33 | | | | | | | | BETA: splitting (72) gives: % 69.98/10.33 | | | | | | | | % 69.98/10.33 | | | | | | | | Case 1: % 69.98/10.33 | | | | | | | | | % 69.98/10.33 | | | | | | | | | (103) all_119_0 = all_101_12 & elts(int, all_101_5) = % 69.98/10.33 | | | | | | | | | all_101_12 % 69.98/10.33 | | | | | | | | | % 69.98/10.33 | | | | | | | | | ALPHA: (103) implies: % 69.98/10.33 | | | | | | | | | (104) elts(int, all_101_5) = all_101_12 % 69.98/10.33 | | | | | | | | | % 69.98/10.33 | | | | | | | | | BETA: splitting (64) gives: % 69.98/10.33 | | | | | | | | | % 69.98/10.33 | | | | | | | | | Case 1: % 69.98/10.33 | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | (105) $lesseq(all_101_17, all_101_18) % 69.98/10.33 | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | COMBINE_INEQS: (30), (105) imply: % 69.98/10.33 | | | | | | | | | | (106) $false % 69.98/10.33 | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | CLOSE: (106) is inconsistent. % 69.98/10.33 | | | | | | | | | | % 69.98/10.33 | | | | | | | | | Case 2: % 69.98/10.33 | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | (107) ? [v0: uni] : ? [v1: uni] : ? [v2: uni] : ? % 69.98/10.33 | | | | | | | | | | [v3: int] : (t2tb1(all_101_15) = v0 & % 69.98/10.33 | | | | | | | | | | sum2(all_101_15, $sum($difference($product(2, % 69.98/10.33 | | | | | | | | | | all_101_18), all_101_17), 2), % 69.98/10.33 | | | | | | | | | | $sum(all_101_18, 1)) = $difference(all_101_0, % 69.98/10.33 | | | | | | | | | | v3) & tb2t(v2) = v3 & % 69.98/10.33 | | | | | | | | | | t2tb($sum($difference($product(2, all_101_18), % 69.98/10.33 | | | | | | | | | | all_101_17), 1)) = v1 & get(int, int, v0, % 69.98/10.33 | | | | | | | | | | v1) = v2 & uni(v2) & uni(v1) & uni(v0)) % 69.98/10.33 | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | DELTA: instantiating (107) with fresh symbols all_180_0, % 69.98/10.33 | | | | | | | | | | all_180_1, all_180_2, all_180_3 gives: % 69.98/10.33 | | | | | | | | | | (108) t2tb1(all_101_15) = all_180_3 & sum2(all_101_15, % 69.98/10.33 | | | | | | | | | | $sum($difference($product(2, all_101_18), % 69.98/10.33 | | | | | | | | | | all_101_17), 2), $sum(all_101_18, 1)) = % 69.98/10.33 | | | | | | | | | | $difference(all_101_0, all_180_0) & tb2t(all_180_1) % 69.98/10.33 | | | | | | | | | | = all_180_0 & t2tb($sum($difference($product(2, % 69.98/10.33 | | | | | | | | | | all_101_18), all_101_17), 1)) = all_180_2 & % 69.98/10.33 | | | | | | | | | | get(int, int, all_180_3, all_180_2) = all_180_1 & % 69.98/10.33 | | | | | | | | | | uni(all_180_1) & uni(all_180_2) & uni(all_180_3) % 69.98/10.33 | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | ALPHA: (108) implies: % 69.98/10.33 | | | | | | | | | | (109) get(int, int, all_180_3, all_180_2) = all_180_1 % 69.98/10.33 | | | | | | | | | | (110) t2tb($sum($difference($product(2, all_101_18), % 69.98/10.33 | | | | | | | | | | all_101_17), 1)) = all_180_2 % 69.98/10.33 | | | | | | | | | | (111) tb2t(all_180_1) = all_180_0 % 69.98/10.33 | | | | | | | | | | (112) sum2(all_101_15, $sum($difference($product(2, % 69.98/10.33 | | | | | | | | | | all_101_18), all_101_17), 2), % 69.98/10.33 | | | | | | | | | | $sum(all_101_18, 1)) = $difference(all_101_0, % 69.98/10.33 | | | | | | | | | | all_180_0) % 69.98/10.33 | | | | | | | | | | (113) t2tb1(all_101_15) = all_180_3 % 69.98/10.33 | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | BETA: splitting (63) gives: % 69.98/10.33 | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | Case 1: % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | (114) $lesseq(all_101_17, all_101_18) % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | COMBINE_INEQS: (30), (114) imply: % 69.98/10.33 | | | | | | | | | | | (115) $false % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | CLOSE: (115) is inconsistent. % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | Case 2: % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | (116) ? [v0: int] : ? [v1: uni] : ? [v2: uni] : ? % 69.98/10.33 | | | | | | | | | | | [v3: uni] : (t2tb1(all_101_15) = v1 & % 69.98/10.33 | | | | | | | | | | | sum2(all_101_15, $sum($difference($product(2, % 69.98/10.33 | | | | | | | | | | | all_101_18), all_101_17), 1), % 69.98/10.33 | | | | | | | | | | | all_101_18) = v0 & tb2t(v3) = % 69.98/10.33 | | | | | | | | | | | $difference(all_101_0, v0) & t2tb(all_101_18) = % 69.98/10.33 | | | | | | | | | | | v2 & get(int, int, v1, v2) = v3 & uni(v3) & % 69.98/10.33 | | | | | | | | | | | uni(v2) & uni(v1)) % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | DELTA: instantiating (116) with fresh symbols all_185_0, % 69.98/10.33 | | | | | | | | | | | all_185_1, all_185_2, all_185_3 gives: % 69.98/10.33 | | | | | | | | | | | (117) t2tb1(all_101_15) = all_185_2 & sum2(all_101_15, % 69.98/10.33 | | | | | | | | | | | $sum($difference($product(2, all_101_18), % 69.98/10.33 | | | | | | | | | | | all_101_17), 1), all_101_18) = all_185_3 & % 69.98/10.33 | | | | | | | | | | | tb2t(all_185_0) = $difference(all_101_0, % 69.98/10.33 | | | | | | | | | | | all_185_3) & t2tb(all_101_18) = all_185_1 & % 69.98/10.33 | | | | | | | | | | | get(int, int, all_185_2, all_185_1) = all_185_0 & % 69.98/10.33 | | | | | | | | | | | uni(all_185_0) & uni(all_185_1) & uni(all_185_2) % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | ALPHA: (117) implies: % 69.98/10.33 | | | | | | | | | | | (118) get(int, int, all_185_2, all_185_1) = all_185_0 % 69.98/10.33 | | | | | | | | | | | (119) t2tb(all_101_18) = all_185_1 % 69.98/10.33 | | | | | | | | | | | (120) tb2t(all_185_0) = $difference(all_101_0, % 69.98/10.33 | | | | | | | | | | | all_185_3) % 69.98/10.33 | | | | | | | | | | | (121) sum2(all_101_15, $sum($difference($product(2, % 69.98/10.33 | | | | | | | | | | | all_101_18), all_101_17), 1), all_101_18) % 69.98/10.33 | | | | | | | | | | | = all_185_3 % 69.98/10.33 | | | | | | | | | | | (122) t2tb1(all_101_15) = all_185_2 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | GROUND_INST: instantiating (16) with all_101_3, all_185_1, % 69.98/10.33 | | | | | | | | | | | all_101_18, simplifying with (44), (119) gives: % 69.98/10.33 | | | | | | | | | | | (123) all_185_1 = all_101_3 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | GROUND_INST: instantiating (16) with all_135_1, all_180_2, % 69.98/10.33 | | | | | | | | | | | $sum($difference($product(2, all_101_18), % 69.98/10.33 | | | | | | | | | | | all_101_17), 1), simplifying with (82), (110) % 69.98/10.33 | | | | | | | | | | | gives: % 69.98/10.33 | | | | | | | | | | | (124) all_180_2 = all_135_1 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | GROUND_INST: instantiating (18) with all_160_2, all_180_3, % 69.98/10.33 | | | | | | | | | | | all_101_15, simplifying with (102), (113) gives: % 69.98/10.33 | | | | | | | | | | | (125) all_180_3 = all_160_2 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | GROUND_INST: instantiating (18) with all_150_2, all_180_3, % 69.98/10.33 | | | | | | | | | | | all_101_15, simplifying with (95), (113) gives: % 69.98/10.33 | | | | | | | | | | | (126) all_180_3 = all_150_2 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | GROUND_INST: instantiating (18) with all_140_2, all_180_3, % 69.98/10.33 | | | | | | | | | | | all_101_15, simplifying with (89), (113) gives: % 69.98/10.33 | | | | | | | | | | | (127) all_180_3 = all_140_2 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | GROUND_INST: instantiating (18) with all_135_2, all_180_3, % 69.98/10.33 | | | | | | | | | | | all_101_15, simplifying with (84), (113) gives: % 69.98/10.33 | | | | | | | | | | | (128) all_180_3 = all_135_2 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | GROUND_INST: instantiating (18) with all_101_8, all_185_2, % 69.98/10.33 | | | | | | | | | | | all_101_15, simplifying with (48), (122) gives: % 69.98/10.33 | | | | | | | | | | | (129) all_185_2 = all_101_8 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | GROUND_INST: instantiating (18) with all_150_2, all_185_2, % 69.98/10.33 | | | | | | | | | | | all_101_15, simplifying with (95), (122) gives: % 69.98/10.33 | | | | | | | | | | | (130) all_185_2 = all_150_2 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | COMBINE_EQS: (129), (130) imply: % 69.98/10.33 | | | | | | | | | | | (131) all_150_2 = all_101_8 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | SIMP: (131) implies: % 69.98/10.33 | | | | | | | | | | | (132) all_150_2 = all_101_8 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | COMBINE_EQS: (125), (127) imply: % 69.98/10.33 | | | | | | | | | | | (133) all_160_2 = all_140_2 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | COMBINE_EQS: (125), (126) imply: % 69.98/10.33 | | | | | | | | | | | (134) all_160_2 = all_150_2 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | COMBINE_EQS: (125), (128) imply: % 69.98/10.33 | | | | | | | | | | | (135) all_160_2 = all_135_2 % 69.98/10.33 | | | | | | | | | | | % 69.98/10.33 | | | | | | | | | | | COMBINE_EQS: (133), (134) imply: % 69.98/10.34 | | | | | | | | | | | (136) all_150_2 = all_140_2 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | SIMP: (136) implies: % 69.98/10.34 | | | | | | | | | | | (137) all_150_2 = all_140_2 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | COMBINE_EQS: (133), (135) imply: % 69.98/10.34 | | | | | | | | | | | (138) all_140_2 = all_135_2 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | COMBINE_EQS: (132), (137) imply: % 69.98/10.34 | | | | | | | | | | | (139) all_140_2 = all_101_8 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | SIMP: (139) implies: % 69.98/10.34 | | | | | | | | | | | (140) all_140_2 = all_101_8 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | COMBINE_EQS: (138), (140) imply: % 69.98/10.34 | | | | | | | | | | | (141) all_135_2 = all_101_8 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | SIMP: (141) implies: % 69.98/10.34 | | | | | | | | | | | (142) all_135_2 = all_101_8 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | COMBINE_EQS: (133), (140) imply: % 69.98/10.34 | | | | | | | | | | | (143) all_160_2 = all_101_8 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | COMBINE_EQS: (125), (143) imply: % 69.98/10.34 | | | | | | | | | | | (144) all_180_3 = all_101_8 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | REDUCE: (118), (123), (129) imply: % 69.98/10.34 | | | | | | | | | | | (145) get(int, int, all_101_8, all_101_3) = all_185_0 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | REDUCE: (109), (124), (144) imply: % 69.98/10.34 | | | | | | | | | | | (146) get(int, int, all_101_8, all_135_1) = all_180_1 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | REDUCE: (81), (142) imply: % 69.98/10.34 | | | | | | | | | | | (147) get(int, int, all_101_8, all_135_1) = all_135_0 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | GROUND_INST: instantiating (24) with all_135_0, all_180_1, % 69.98/10.34 | | | | | | | | | | | all_135_1, all_101_8, int, int, simplifying with % 69.98/10.34 | | | | | | | | | | | (146), (147) gives: % 69.98/10.34 | | | | | | | | | | | (148) all_180_1 = all_135_0 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | REDUCE: (111), (148) imply: % 69.98/10.34 | | | | | | | | | | | (149) tb2t(all_135_0) = all_180_0 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | GROUND_INST: instantiating (17) with $difference(all_135_3, % 69.98/10.34 | | | | | | | | | | | all_101_9), all_180_0, all_135_0, simplifying % 69.98/10.34 | | | | | | | | | | | with (83), (149) gives: % 69.98/10.34 | | | | | | | | | | | (150) $sum($difference(all_180_0, all_135_3), all_101_9) % 69.98/10.34 | | | | | | | | | | | = 0 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | REDUCE: (112), (150) imply: % 69.98/10.34 | | | | | | | | | | | (151) sum2(all_101_15, $sum($difference($product(2, % 69.98/10.34 | | | | | | | | | | | all_101_18), all_101_17), 2), % 69.98/10.34 | | | | | | | | | | | $sum(all_101_18, 1)) = % 69.98/10.34 | | | | | | | | | | | $sum($difference(all_101_0, all_135_3), all_101_9) % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | GROUND_INST: instantiating (2) with int, all_101_7, all_101_18, % 69.98/10.34 | | | | | | | | | | | all_101_8, all_101_3, all_185_0, simplifying with % 69.98/10.34 | | | | | | | | | | | (14), (35), (44), (97), (145) gives: % 69.98/10.34 | | | | | | | | | | | (152) get2(int, all_101_7, all_101_18) = all_185_0 & % 69.98/10.34 | | | | | | | | | | | uni(all_185_0) % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | ALPHA: (152) implies: % 69.98/10.34 | | | | | | | | | | | (153) uni(all_185_0) % 69.98/10.34 | | | | | | | | | | | (154) get2(int, all_101_7, all_101_18) = all_185_0 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | GROUND_INST: instantiating (2) with int, all_101_5, all_101_18, % 69.98/10.34 | | | | | | | | | | | all_101_12, all_101_3, all_101_2, simplifying with % 69.98/10.34 | | | | | | | | | | | (14), (36), (41), (44), (104) gives: % 69.98/10.34 | | | | | | | | | | | (155) get2(int, all_101_5, all_101_18) = all_101_2 & % 69.98/10.34 | | | | | | | | | | | uni(all_101_2) % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | ALPHA: (155) implies: % 69.98/10.34 | | | | | | | | | | | (156) get2(int, all_101_5, all_101_18) = all_101_2 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | GROUND_INST: instantiating (2) with int, all_101_7, % 69.98/10.34 | | | | | | | | | | | $sum($difference($product(2, all_101_18), % 69.98/10.34 | | | | | | | | | | | all_101_17), 1), all_101_8, all_135_1, % 69.98/10.34 | | | | | | | | | | | all_135_0, simplifying with (14), (35), (82), % 69.98/10.34 | | | | | | | | | | | (97), (147) gives: % 69.98/10.34 | | | | | | | | | | | (157) get2(int, all_101_7, $sum($difference($product(2, % 69.98/10.34 | | | | | | | | | | | all_101_18), all_101_17), 1)) = all_135_0 % 69.98/10.34 | | | | | | | | | | | & uni(all_135_0) % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | ALPHA: (157) implies: % 69.98/10.34 | | | | | | | | | | | (158) uni(all_135_0) % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | GROUND_INST: instantiating (bridgeR) with all_135_0, % 69.98/10.34 | | | | | | | | | | | $difference(all_135_3, all_101_9), simplifying % 69.98/10.34 | | | | | | | | | | | with (83), (158) gives: % 69.98/10.34 | | | | | | | | | | | (159) t2tb($difference(all_135_3, all_101_9)) = % 69.98/10.34 | | | | | | | | | | | all_135_0 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | GROUND_INST: instantiating (bridgeR) with all_185_0, % 69.98/10.34 | | | | | | | | | | | $difference(all_101_0, all_185_3), simplifying % 69.98/10.34 | | | | | | | | | | | with (120), (153) gives: % 69.98/10.34 | | | | | | | | | | | (160) t2tb($difference(all_101_0, all_185_3)) = % 69.98/10.34 | | | | | | | | | | | all_185_0 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | GROUND_INST: instantiating (9) with all_101_15, all_101_15, % 69.98/10.34 | | | | | | | | | | | all_101_18, all_101_18, all_185_3, 0, simplifying % 69.98/10.34 | | | | | | | | | | | with (37) gives: % 69.98/10.34 | | | | | | | | | | | (161) all_185_3 = 0 | ~ (sum2(all_101_15, all_101_18, % 69.98/10.34 | | | | | | | | | | | all_101_18) = all_185_3) | ~ % 69.98/10.34 | | | | | | | | | | | (sum2(all_101_15, all_101_18, all_101_18) = 0) % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | GROUND_INST: instantiating (9) with all_101_15, all_101_15, % 69.98/10.34 | | | | | | | | | | | $sum(all_101_18, 1), $sum(all_101_18, 1), 0, % 69.98/10.34 | | | | | | | | | | | $sum($difference(all_101_0, all_135_3), % 69.98/10.34 | | | | | | | | | | | all_101_9), simplifying with (37), (90) gives: % 69.98/10.34 | | | | | | | | | | | (162) $difference(all_135_3, all_101_0) = all_101_9 | ~ % 69.98/10.34 | | | | | | | | | | | (sum2(all_101_15, $sum(all_101_18, 1), % 69.98/10.34 | | | | | | | | | | | $sum(all_101_18, 1)) = % 69.98/10.34 | | | | | | | | | | | $sum($difference(all_101_0, all_135_3), % 69.98/10.34 | | | | | | | | | | | all_101_9)) % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | GROUND_INST: instantiating (10) with all_101_6, % 69.98/10.34 | | | | | | | | | | | $sum($difference($product(2, all_101_18), % 69.98/10.34 | | | | | | | | | | | all_101_17), 1), $sum(all_101_18, 1), % 69.98/10.34 | | | | | | | | | | | all_101_7, all_101_8, all_101_15, all_101_0, % 69.98/10.34 | | | | | | | | | | | simplifying with (39), (47), (65), (68), (97) % 69.98/10.34 | | | | | | | | | | | gives: % 69.98/10.34 | | | | | | | | | | | (163) sum3(all_101_6, $sum($difference($product(2, % 69.98/10.34 | | | | | | | | | | | all_101_18), all_101_17), 1), % 69.98/10.34 | | | | | | | | | | | $sum(all_101_18, 1)) = all_101_0 % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | GROUND_INST: instantiating (13) with all_101_18, all_101_17, % 69.98/10.34 | | | | | | | | | | | all_101_6, all_101_4, all_101_4, all_101_5, % 69.98/10.34 | | | | | | | | | | | all_101_14, simplifying with (39), (40), (53), % 69.98/10.34 | | | | | | | | | | | (55), (69) gives: % 69.98/10.34 | | | | | | | | | | | (164) ~ ($lesseq(0, all_101_14)) | ? [v0: uni] : ? % 69.98/10.34 | | | | | | | | | | | [v1: int] : ? [v2: uni] : ? [v3: int] : ? [v4: % 69.98/10.34 | | | | | | | | | | | int] : ? [v5: int] : ? [v6: uni] : ? [v7: % 69.98/10.34 | | | | | | | | | | | int] : ? [v8: uni] : ? [v9: int] : ((v4 = 0 & % 69.98/10.34 | | | | | | | | | | | phase11(all_101_18, all_101_17, all_101_4, % 69.98/10.34 | | | | | | | | | | | all_101_4) = 0) | ( ~ (v9 = v7) & $lesseq(1, % 69.98/10.34 | | | | | | | | | | | $difference(all_101_17, v5)) & $lesseq(1, % 69.98/10.34 | | | | | | | | | | | $difference($sum(v5, all_101_17), % 69.98/10.34 | | | | | | | | | | | $product(2, all_101_18))) & % 69.98/10.34 | | | | | | | | | | | t2tb2(all_101_6) = v0 & tb2t(v8) = v9 & % 69.98/10.34 | | | | | | | | | | | tb2t(v6) = v7 & get2(int, v0, v5) = v6 & % 69.98/10.34 | | | | | | | | | | | get2(int, all_101_5, v5) = v8 & uni(v8) & % 69.98/10.34 | | | | | | | | | | | uni(v6) & uni(v0)) | ($lesseq(v3, -1) & % 69.98/10.34 | | | | | | | | | | | t2tb2(all_101_4) = v2 & length1(int, v2) = v3 % 69.98/10.34 | | | | | | | | | | | & uni(v2)) | ($lesseq(v1, -1) & % 69.98/10.34 | | | | | | | | | | | t2tb2(all_101_6) = v0 & length1(int, v0) = v1 % 69.98/10.34 | | | | | | | | | | | & uni(v0))) % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | BETA: splitting (75) gives: % 69.98/10.34 | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | Case 1: % 69.98/10.34 | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | (165) all_125_0 = all_125_3 & all_125_6 = all_101_4 & % 69.98/10.34 | | | | | | | | | | | | all_125_7 = all_101_6 & all_125_8 = all_101_18 & % 69.98/10.34 | | | | | | | | | | | | $difference(all_101_17, all_101_18) = 1 & % 69.98/10.34 | | | | | | | | | | | | t2tb2(all_101_4) = all_125_5 & t2tb2(all_101_6) = % 69.98/10.34 | | | | | | | | | | | | all_125_2 & tb2t(all_125_1) = all_125_3 & % 69.98/10.34 | | | | | | | | | | | | tb2t(all_125_4) = all_125_3 & get2(int, all_125_2, % 69.98/10.34 | | | | | | | | | | | | all_101_18) = all_125_1 & get2(int, all_125_5, % 69.98/10.34 | | | | | | | | | | | | all_101_18) = all_125_4 & uni(all_125_1) & % 69.98/10.34 | | | | | | | | | | | | uni(all_125_2) & uni(all_125_4) & uni(all_125_5) % 69.98/10.34 | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | ALPHA: (165) implies: % 69.98/10.34 | | | | | | | | | | | | (166) $difference(all_101_17, all_101_18) = 1 % 69.98/10.34 | | | | | | | | | | | | (167) get2(int, all_125_5, all_101_18) = all_125_4 % 69.98/10.34 | | | | | | | | | | | | (168) get2(int, all_125_2, all_101_18) = all_125_1 % 69.98/10.34 | | | | | | | | | | | | (169) tb2t(all_125_4) = all_125_3 % 69.98/10.34 | | | | | | | | | | | | (170) tb2t(all_125_1) = all_125_3 % 69.98/10.34 | | | | | | | | | | | | (171) t2tb2(all_101_6) = all_125_2 % 69.98/10.34 | | | | | | | | | | | | (172) t2tb2(all_101_4) = all_125_5 % 69.98/10.34 | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | REDUCE: (151), (166) imply: % 69.98/10.34 | | | | | | | | | | | | (173) sum2(all_101_15, $sum(all_101_18, 1), % 69.98/10.34 | | | | | | | | | | | | $sum(all_101_18, 1)) = % 69.98/10.34 | | | | | | | | | | | | $sum($difference(all_101_0, all_135_3), all_101_9) % 69.98/10.34 | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | REDUCE: (76), (166) imply: % 69.98/10.34 | | | | | | | | | | | | (174) sum2(all_101_15, all_101_18, all_101_18) = 0 % 69.98/10.34 | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | REDUCE: (121), (166) imply: % 69.98/10.34 | | | | | | | | | | | | (175) sum2(all_101_15, all_101_18, all_101_18) = % 69.98/10.34 | | | | | | | | | | | | all_185_3 % 69.98/10.34 | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | BETA: splitting (162) gives: % 69.98/10.34 | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | Case 1: % 69.98/10.34 | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | (176) ~ (sum2(all_101_15, $sum(all_101_18, 1), % 69.98/10.34 | | | | | | | | | | | | | $sum(all_101_18, 1)) = % 69.98/10.34 | | | | | | | | | | | | | $sum($difference(all_101_0, all_135_3), % 69.98/10.34 | | | | | | | | | | | | | all_101_9)) % 69.98/10.34 | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | PRED_UNIFY: (173), (176) imply: % 69.98/10.34 | | | | | | | | | | | | | (177) $false % 69.98/10.34 | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | CLOSE: (177) is inconsistent. % 69.98/10.34 | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | Case 2: % 69.98/10.34 | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | (178) $difference(all_135_3, all_101_0) = all_101_9 % 69.98/10.34 | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | REDUCE: (159), (178) imply: % 69.98/10.34 | | | | | | | | | | | | | (179) t2tb(all_101_0) = all_135_0 % 69.98/10.34 | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | BETA: splitting (161) gives: % 69.98/10.34 | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | Case 1: % 69.98/10.34 | | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | | (180) ~ (sum2(all_101_15, all_101_18, all_101_18) = % 69.98/10.34 | | | | | | | | | | | | | | all_185_3) % 69.98/10.34 | | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | | PRED_UNIFY: (175), (180) imply: % 69.98/10.34 | | | | | | | | | | | | | | (181) $false % 69.98/10.34 | | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | | CLOSE: (181) is inconsistent. % 69.98/10.34 | | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | Case 2: % 69.98/10.34 | | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | | (182) all_185_3 = 0 | ~ (sum2(all_101_15, all_101_18, % 69.98/10.34 | | | | | | | | | | | | | | all_101_18) = 0) % 69.98/10.34 | | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | | BETA: splitting (182) gives: % 69.98/10.34 | | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | | Case 1: % 69.98/10.34 | | | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | | | (183) ~ (sum2(all_101_15, all_101_18, all_101_18) = 0) % 69.98/10.34 | | | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | | | PRED_UNIFY: (174), (183) imply: % 69.98/10.34 | | | | | | | | | | | | | | | (184) $false % 69.98/10.34 | | | | | | | | | | | | | | | % 69.98/10.34 | | | | | | | | | | | | | | | CLOSE: (184) is inconsistent. % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | Case 2: % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | (185) all_185_3 = 0 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | REDUCE: (120), (185) imply: % 69.98/10.35 | | | | | | | | | | | | | | | (186) tb2t(all_185_0) = all_101_0 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | REDUCE: (160), (185) imply: % 69.98/10.35 | | | | | | | | | | | | | | | (187) t2tb(all_101_0) = all_185_0 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_135_0, all_185_0, % 69.98/10.35 | | | | | | | | | | | | | | | all_101_0, simplifying with (179), (187) gives: % 69.98/10.35 | | | | | | | | | | | | | | | (188) all_185_0 = all_135_0 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_101_7, all_125_2, % 69.98/10.35 | | | | | | | | | | | | | | | all_101_6, simplifying with (68), (171) gives: % 69.98/10.35 | | | | | | | | | | | | | | | (189) all_125_2 = all_101_7 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_101_5, all_125_5, % 69.98/10.35 | | | | | | | | | | | | | | | all_101_4, simplifying with (69), (172) gives: % 69.98/10.35 | | | | | | | | | | | | | | | (190) all_125_5 = all_101_5 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | REDUCE: (186), (188) imply: % 69.98/10.35 | | | | | | | | | | | | | | | (191) tb2t(all_135_0) = all_101_0 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | REDUCE: (168), (189) imply: % 69.98/10.35 | | | | | | | | | | | | | | | (192) get2(int, all_101_7, all_101_18) = all_125_1 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | REDUCE: (167), (190) imply: % 69.98/10.35 | | | | | | | | | | | | | | | (193) get2(int, all_101_5, all_101_18) = all_125_4 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | REDUCE: (154), (188) imply: % 69.98/10.35 | | | | | | | | | | | | | | | (194) get2(int, all_101_7, all_101_18) = all_135_0 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_135_0, all_125_1, % 69.98/10.35 | | | | | | | | | | | | | | | all_101_18, all_101_7, int, simplifying with % 69.98/10.35 | | | | | | | | | | | | | | | (192), (194) gives: % 69.98/10.35 | | | | | | | | | | | | | | | (195) all_135_0 = all_125_1 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_101_2, all_125_4, % 69.98/10.35 | | | | | | | | | | | | | | | all_101_18, all_101_5, int, simplifying with % 69.98/10.35 | | | | | | | | | | | | | | | (156), (193) gives: % 69.98/10.35 | | | | | | | | | | | | | | | (196) all_125_4 = all_101_2 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | REDUCE: (191), (195) imply: % 69.98/10.35 | | | | | | | | | | | | | | | (197) tb2t(all_125_1) = all_101_0 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | REDUCE: (169), (196) imply: % 69.98/10.35 | | | | | | | | | | | | | | | (198) tb2t(all_101_2) = all_125_3 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_101_1, all_125_3, % 69.98/10.35 | | | | | | | | | | | | | | | all_101_2, simplifying with (45), (198) gives: % 69.98/10.35 | | | | | | | | | | | | | | | (199) all_125_3 = all_101_1 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_125_3, all_101_0, % 69.98/10.35 | | | | | | | | | | | | | | | all_125_1, simplifying with (170), (197) gives: % 69.98/10.35 | | | | | | | | | | | | | | | (200) all_125_3 = all_101_0 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | COMBINE_EQS: (199), (200) imply: % 69.98/10.35 | | | | | | | | | | | | | | | (201) all_101_0 = all_101_1 % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | REDUCE: (29), (201) imply: % 69.98/10.35 | | | | | | | | | | | | | | | (202) $false % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | | CLOSE: (202) is inconsistent. % 69.98/10.35 | | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | End of split % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | End of split % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | End of split % 69.98/10.35 | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | Case 2: % 69.98/10.35 | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | (203) all_125_9 = all_125_10 & all_125_13 = 0 & % 69.98/10.35 | | | | | | | | | | | | all_125_15 = 0 & all_125_17 = all_101_4 & % 69.98/10.35 | | | | | | | | | | | | all_125_18 = all_101_6 & all_125_19 = all_101_17 & % 69.98/10.35 | | | | | | | | | | | | all_125_20 = all_101_18 & $lesseq(2, % 69.98/10.35 | | | | | | | | | | | | $difference(all_101_17, all_101_18)) & % 69.98/10.35 | | | | | | | | | | | | phase11(all_125_14, all_101_17, all_101_6, % 69.98/10.35 | | | | | | | | | | | | all_101_4) = 0 & phase11(all_125_16, all_101_18, % 69.98/10.35 | | | | | | | | | | | | all_101_6, all_101_4) = 0 & % 69.98/10.35 | | | | | | | | | | | | go_right1(all_101_18, all_101_17) = all_125_14 & % 69.98/10.35 | | | | | | | | | | | | go_left1(all_101_18, all_101_17) = all_125_16 & % 69.98/10.35 | | | | | | | | | | | | sum3(all_101_6, $sum($difference($product(2, % 69.98/10.35 | | | | | | | | | | | | all_101_18), all_101_17), 1), % 69.98/10.35 | | | | | | | | | | | | $sum(all_101_18, 1)) = all_125_10 & % 69.98/10.35 | | | | | | | | | | | | t2tb2(all_101_4) = all_125_12 & tb2t(all_125_11) = % 69.98/10.35 | | | | | | | | | | | | all_125_10 & get2(int, all_125_12, all_101_18) = % 69.98/10.35 | | | | | | | | | | | | all_125_11 & uni(all_125_11) & uni(all_125_12) % 69.98/10.35 | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | ALPHA: (203) implies: % 69.98/10.35 | | | | | | | | | | | | (204) $lesseq(2, $difference(all_101_17, all_101_18)) % 69.98/10.35 | | | | | | | | | | | | (205) get2(int, all_125_12, all_101_18) = all_125_11 % 69.98/10.35 | | | | | | | | | | | | (206) tb2t(all_125_11) = all_125_10 % 69.98/10.35 | | | | | | | | | | | | (207) t2tb2(all_101_4) = all_125_12 % 69.98/10.35 | | | | | | | | | | | | (208) sum3(all_101_6, $sum($difference($product(2, % 69.98/10.35 | | | | | | | | | | | | all_101_18), all_101_17), 1), % 69.98/10.35 | | | | | | | | | | | | $sum(all_101_18, 1)) = all_125_10 % 69.98/10.35 | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | BETA: splitting (70) gives: % 69.98/10.35 | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | Case 1: % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | (209) $lesseq(-1, $difference(all_101_18, all_101_17)) % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | COMBINE_INEQS: (204), (209) imply: % 69.98/10.35 | | | | | | | | | | | | | (210) $false % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | CLOSE: (210) is inconsistent. % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | Case 2: % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | (211) ? [v0: int] : ($sum($difference($product(2, v0), % 69.98/10.35 | | | | | | | | | | | | | all_101_17), all_101_18) = 0 & % 69.98/10.35 | | | | | | | | | | | | | div1($difference(all_101_17, all_101_18), 2) = % 69.98/10.35 | | | | | | | | | | | | | v0) % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | DELTA: instantiating (211) with fresh symbol all_424_0 % 69.98/10.35 | | | | | | | | | | | | | gives: % 69.98/10.35 | | | | | | | | | | | | | (212) $sum($difference($product(2, all_424_0), % 69.98/10.35 | | | | | | | | | | | | | all_101_17), all_101_18) = 0 & % 69.98/10.35 | | | | | | | | | | | | | div1($difference(all_101_17, all_101_18), 2) = % 69.98/10.35 | | | | | | | | | | | | | all_424_0 % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | ALPHA: (212) implies: % 69.98/10.35 | | | | | | | | | | | | | (213) $sum($difference($product(2, all_424_0), % 69.98/10.35 | | | | | | | | | | | | | all_101_17), all_101_18) = 0 % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | COL_REDUCE: introducing fresh symbol sc_426_0_0 defined by: % 69.98/10.35 | | | | | | | | | | | | | (214) $difference(all_424_0, all_101_17) = sc_426_0_0 % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | COMBINE_EQS: (213), (214) imply: % 69.98/10.35 | | | | | | | | | | | | | (215) $sum($sum(all_101_17, all_101_18), $product(2, % 69.98/10.35 | | | | | | | | | | | | | sc_426_0_0)) = 0 % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | REDUCE: (208), (215) imply: % 69.98/10.35 | | | | | | | | | | | | | (216) sum3(all_101_6, $sum($sum($product(3, all_101_18), % 69.98/10.35 | | | | | | | | | | | | | $product(2, sc_426_0_0)), 1), % 69.98/10.35 | | | | | | | | | | | | | $sum(all_101_18, 1)) = all_125_10 % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | REDUCE: (163), (215) imply: % 69.98/10.35 | | | | | | | | | | | | | (217) sum3(all_101_6, $sum($sum($product(3, all_101_18), % 69.98/10.35 | | | | | | | | | | | | | $product(2, sc_426_0_0)), 1), % 69.98/10.35 | | | | | | | | | | | | | $sum(all_101_18, 1)) = all_101_0 % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | BETA: splitting (164) gives: % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | Case 1: % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | (218) $lesseq(all_101_14, -1) % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | COMBINE_INEQS: (32), (218) imply: % 69.98/10.35 | | | | | | | | | | | | | | (219) $false % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | CLOSE: (219) is inconsistent. % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | Case 2: % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_101_5, all_125_12, % 69.98/10.35 | | | | | | | | | | | | | | all_101_4, simplifying with (69), (207) gives: % 69.98/10.35 | | | | | | | | | | | | | | (220) all_125_12 = all_101_5 % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_101_0, all_125_10, % 69.98/10.35 | | | | | | | | | | | | | | $sum(all_101_18, 1), $sum($sum($product(3, % 69.98/10.35 | | | | | | | | | | | | | | all_101_18), $product(2, sc_426_0_0)), 1), % 69.98/10.35 | | | | | | | | | | | | | | all_101_6, simplifying with (216), (217) gives: % 69.98/10.35 | | | | | | | | | | | | | | (221) all_125_10 = all_101_0 % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | REDUCE: (206), (221) imply: % 69.98/10.35 | | | | | | | | | | | | | | (222) tb2t(all_125_11) = all_101_0 % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | REDUCE: (205), (220) imply: % 69.98/10.35 | | | | | | | | | | | | | | (223) get2(int, all_101_5, all_101_18) = all_125_11 % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_101_2, all_125_11, % 69.98/10.35 | | | | | | | | | | | | | | all_101_18, all_101_5, int, simplifying with % 69.98/10.35 | | | | | | | | | | | | | | (156), (223) gives: % 69.98/10.35 | | | | | | | | | | | | | | (224) all_125_11 = all_101_2 % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | REDUCE: (222), (224) imply: % 69.98/10.35 | | | | | | | | | | | | | | (225) tb2t(all_101_2) = all_101_0 % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_101_1, all_101_0, % 69.98/10.35 | | | | | | | | | | | | | | all_101_2, simplifying with (45), (225) gives: % 69.98/10.35 | | | | | | | | | | | | | | (226) all_101_0 = all_101_1 % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | REDUCE: (29), (226) imply: % 69.98/10.35 | | | | | | | | | | | | | | (227) $false % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | | CLOSE: (227) is inconsistent. % 69.98/10.35 | | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | | End of split % 69.98/10.35 | | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | | End of split % 69.98/10.35 | | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | | End of split % 69.98/10.35 | | | | | | | | | | | % 69.98/10.35 | | | | | | | | | | End of split % 69.98/10.35 | | | | | | | | | | % 69.98/10.35 | | | | | | | | | End of split % 69.98/10.35 | | | | | | | | | % 69.98/10.35 | | | | | | | | Case 2: % 69.98/10.35 | | | | | | | | | % 69.98/10.35 | | | | | | | | | (228) ~ (all_119_1 = 0) & map(int, int) = all_119_2 & % 69.98/10.35 | | | | | | | | | sort1(all_119_2, all_101_12) = all_119_1 & % 69.98/10.35 | | | | | | | | | ty(all_119_2) % 69.98/10.35 | | | | | | | | | % 69.98/10.35 | | | | | | | | | ALPHA: (228) implies: % 69.98/10.35 | | | | | | | | | (229) ~ (all_119_1 = 0) % 69.98/10.35 | | | | | | | | | (230) sort1(all_119_2, all_101_12) = all_119_1 % 69.98/10.35 | | | | | | | | | (231) map(int, int) = all_119_2 % 69.98/10.35 | | | | | | | | | % 69.98/10.35 | | | | | | | | | GROUND_INST: instantiating (21) with all_91_0, all_119_2, int, % 69.98/10.35 | | | | | | | | | int, simplifying with (26), (231) gives: % 69.98/10.35 | | | | | | | | | (232) all_119_2 = all_91_0 % 69.98/10.35 | | | | | | | | | % 69.98/10.35 | | | | | | | | | REDUCE: (230), (232) imply: % 69.98/10.35 | | | | | | | | | (233) sort1(all_91_0, all_101_12) = all_119_1 % 69.98/10.35 | | | | | | | | | % 69.98/10.35 | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_119_1, all_101_12, % 69.98/10.35 | | | | | | | | | all_91_0, simplifying with (67), (233) gives: % 69.98/10.35 | | | | | | | | | (234) all_119_1 = 0 % 69.98/10.35 | | | | | | | | | % 69.98/10.35 | | | | | | | | | REDUCE: (229), (234) imply: % 69.98/10.35 | | | | | | | | | (235) $false % 69.98/10.35 | | | | | | | | | % 69.98/10.35 | | | | | | | | | CLOSE: (235) is inconsistent. % 69.98/10.35 | | | | | | | | | % 69.98/10.35 | | | | | | | | End of split % 69.98/10.35 | | | | | | | | % 69.98/10.35 | | | | | | | End of split % 69.98/10.35 | | | | | | | % 69.98/10.35 | | | | | | Case 2: % 69.98/10.35 | | | | | | | % 69.98/10.35 | | | | | | | (236) ~ (all_120_1 = 0) & map(int, int) = all_120_2 & % 69.98/10.35 | | | | | | | sort1(all_120_2, all_101_8) = all_120_1 & ty(all_120_2) % 69.98/10.35 | | | | | | | % 69.98/10.35 | | | | | | | ALPHA: (236) implies: % 69.98/10.35 | | | | | | | (237) ~ (all_120_1 = 0) % 69.98/10.35 | | | | | | | (238) sort1(all_120_2, all_101_8) = all_120_1 % 69.98/10.35 | | | | | | | (239) map(int, int) = all_120_2 % 69.98/10.35 | | | | | | | % 69.98/10.35 | | | | | | | BETA: splitting (64) gives: % 69.98/10.35 | | | | | | | % 69.98/10.35 | | | | | | | Case 1: % 69.98/10.35 | | | | | | | | % 69.98/10.35 | | | | | | | | (240) $lesseq(all_101_17, all_101_18) % 69.98/10.35 | | | | | | | | % 69.98/10.35 | | | | | | | | COMBINE_INEQS: (30), (240) imply: % 69.98/10.35 | | | | | | | | (241) $false % 69.98/10.36 | | | | | | | | % 69.98/10.36 | | | | | | | | CLOSE: (241) is inconsistent. % 69.98/10.36 | | | | | | | | % 69.98/10.36 | | | | | | | Case 2: % 69.98/10.36 | | | | | | | | % 69.98/10.36 | | | | | | | | % 69.98/10.36 | | | | | | | | GROUND_INST: instantiating (21) with all_91_0, all_120_2, int, % 69.98/10.36 | | | | | | | | int, simplifying with (26), (239) gives: % 69.98/10.36 | | | | | | | | (242) all_120_2 = all_91_0 % 69.98/10.36 | | | | | | | | % 69.98/10.36 | | | | | | | | REDUCE: (238), (242) imply: % 69.98/10.36 | | | | | | | | (243) sort1(all_91_0, all_101_8) = all_120_1 % 69.98/10.36 | | | | | | | | % 69.98/10.36 | | | | | | | | GROUND_INST: instantiating (20) with 0, all_120_1, all_101_8, % 69.98/10.36 | | | | | | | | all_91_0, simplifying with (66), (243) gives: % 69.98/10.36 | | | | | | | | (244) all_120_1 = 0 % 69.98/10.36 | | | | | | | | % 69.98/10.36 | | | | | | | | REDUCE: (237), (244) imply: % 69.98/10.36 | | | | | | | | (245) $false % 69.98/10.36 | | | | | | | | % 69.98/10.36 | | | | | | | | CLOSE: (245) is inconsistent. % 69.98/10.36 | | | | | | | | % 69.98/10.36 | | | | | | | End of split % 69.98/10.36 | | | | | | | % 69.98/10.36 | | | | | | End of split % 69.98/10.36 | | | | | | % 69.98/10.36 | | | | | End of split % 69.98/10.36 | | | | | % 69.98/10.36 | | | | Case 2: % 69.98/10.36 | | | | | % 69.98/10.36 | | | | | (246) $lesseq(1, $difference(all_101_18, all_101_17)) % 69.98/10.36 | | | | | % 69.98/10.36 | | | | | COMBINE_INEQS: (30), (246) imply: % 69.98/10.36 | | | | | (247) $false % 69.98/10.36 | | | | | % 69.98/10.36 | | | | | CLOSE: (247) is inconsistent. % 69.98/10.36 | | | | | % 69.98/10.36 | | | | End of split % 69.98/10.36 | | | | % 69.98/10.36 | | | End of split % 69.98/10.36 | | | % 69.98/10.36 | | End of split % 69.98/10.36 | | % 69.98/10.36 | Case 2: % 69.98/10.36 | | % 69.98/10.36 | | (248) $lesseq(2, $difference(all_101_17, $product(2, all_101_18))) % 69.98/10.36 | | % 69.98/10.36 | | COMBINE_INEQS: (31), (248) imply: % 69.98/10.36 | | (249) $false % 69.98/10.36 | | % 69.98/10.36 | | CLOSE: (249) is inconsistent. % 69.98/10.36 | | % 69.98/10.36 | End of split % 69.98/10.36 | % 69.98/10.36 End of proof % 69.98/10.36 % SZS output end Proof for theBenchmark % 69.98/10.36 % 69.98/10.36 9782ms %------------------------------------------------------------------------------