%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWW639_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 : n001.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 00:50:59 EDT 2023 % Result : Theorem 18.18s 3.24s % Output : Proof 28.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.14 % Problem : SWW639_2 : TPTP v8.1.2. Released v6.1.0. % 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n001.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Sun Aug 27 21:38:18 EDT 2023 % 0.14/0.35 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.28/1.39 Prover 4: Preprocessing ... % 4.28/1.39 Prover 3: Preprocessing ... % 4.28/1.39 Prover 5: Preprocessing ... % 4.28/1.39 Prover 0: Preprocessing ... % 4.28/1.40 Prover 2: Preprocessing ... % 4.28/1.40 Prover 1: Preprocessing ... % 4.28/1.41 Prover 6: Preprocessing ... % 10.75/2.22 Prover 1: Warning: ignoring some quantifiers % 10.75/2.25 Prover 4: Warning: ignoring some quantifiers % 10.75/2.27 Prover 3: Warning: ignoring some quantifiers % 10.75/2.28 Prover 1: Constructing countermodel ... % 10.75/2.30 Prover 3: Constructing countermodel ... % 10.75/2.30 Prover 4: Constructing countermodel ... % 11.54/2.32 Prover 5: Proving ... % 11.54/2.32 Prover 6: Proving ... % 11.54/2.38 Prover 0: Proving ... % 12.25/2.46 Prover 2: Proving ... % 18.18/3.24 Prover 0: proved (2612ms) % 18.18/3.24 % 18.18/3.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 18.18/3.24 % 18.18/3.24 Prover 3: stopped % 18.18/3.24 Prover 2: stopped % 18.18/3.25 Prover 6: stopped % 18.18/3.25 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 18.18/3.25 Prover 5: stopped % 18.18/3.25 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 18.18/3.25 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 18.18/3.25 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 18.18/3.25 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 19.72/3.42 Prover 13: Preprocessing ... % 19.72/3.46 Prover 8: Preprocessing ... % 19.72/3.47 Prover 10: Preprocessing ... % 19.72/3.49 Prover 11: Preprocessing ... % 19.72/3.49 Prover 7: Preprocessing ... % 21.35/3.66 Prover 10: Warning: ignoring some quantifiers % 21.35/3.68 Prover 10: Constructing countermodel ... % 21.35/3.68 Prover 13: Warning: ignoring some quantifiers % 21.35/3.69 Prover 7: Warning: ignoring some quantifiers % 21.35/3.71 Prover 11: Warning: ignoring some quantifiers % 21.35/3.71 Prover 7: Constructing countermodel ... % 21.35/3.72 Prover 8: Warning: ignoring some quantifiers % 21.35/3.72 Prover 13: Constructing countermodel ... % 22.02/3.74 Prover 11: Constructing countermodel ... % 22.02/3.76 Prover 8: Constructing countermodel ... % 24.11/4.02 Prover 10: gave up % 24.11/4.03 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 24.88/4.15 Prover 16: Preprocessing ... % 26.08/4.38 Prover 16: Warning: ignoring some quantifiers % 26.86/4.41 Prover 16: Constructing countermodel ... % 27.30/4.50 Prover 4: Found proof (size 215) % 27.30/4.50 Prover 4: proved (3871ms) % 27.30/4.51 Prover 16: stopped % 27.30/4.51 Prover 11: stopped % 27.30/4.51 Prover 1: stopped % 27.30/4.51 Prover 7: stopped % 27.30/4.51 Prover 13: stopped % 27.30/4.51 Prover 8: stopped % 27.30/4.51 % 27.30/4.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 27.30/4.51 % 27.84/4.55 % SZS output start Proof for theBenchmark % 27.84/4.56 Assumptions after simplification: % 27.84/4.56 --------------------------------- % 27.84/4.56 % 27.84/4.56 (array_inversion1) % 28.10/4.58 ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ( ~ (elts(v0, v1) = v2) | ~ % 28.10/4.58 ty(v0) | ~ uni(v1) | ? [v3: int] : (length2(v0, v1) = v3 & mk_array1(v0, % 28.10/4.58 v3, v2) = v1)) & ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ( ~ % 28.10/4.58 (length2(v0, v1) = v2) | ~ ty(v0) | ~ uni(v1) | ? [v3: uni] : (elts(v0, % 28.10/4.58 v1) = v3 & mk_array1(v0, v2, v3) = v1 & uni(v3))) % 28.10/4.58 % 28.10/4.58 (bridgeL) % 28.10/4.58 ! [v0: int] : ! [v1: uni] : ( ~ (t2tb(v0) = v1) | tb2t(v1) = v0) % 28.10/4.58 % 28.10/4.58 (bridgeR1) % 28.10/4.58 ! [v0: uni] : ! [v1: map_int_int] : ( ~ (tb2t1(v0) = v1) | ~ uni(v0) | % 28.10/4.58 t2tb1(v1) = v0) % 28.10/4.58 % 28.10/4.58 (bridgeR3) % 28.10/4.59 ! [v0: uni] : ! [v1: rarray_int] : ( ~ (tb2t3(v0) = v1) | ~ uni(v0) | % 28.10/4.59 t2tb3(v1) = v0) % 28.10/4.59 % 28.10/4.59 (data_def1) % 28.10/4.59 ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ! [v3: uni] : ! [v4: uni] : ( ~ % 28.10/4.59 (mk_rarray1(v0, v1, v2, v3) = v4) | ~ ty(v0) | ~ uni(v3) | ~ uni(v1) | % 28.10/4.59 data(v0, v4) = v3) % 28.10/4.59 % 28.10/4.59 (dummy_def1) % 28.10/4.59 ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ! [v3: uni] : ! [v4: uni] : ( ~ % 28.10/4.59 (mk_rarray1(v0, v1, v2, v3) = v4) | ~ ty(v0) | ~ uni(v3) | ~ uni(v1) | ? % 28.10/4.59 [v5: any] : ? [v6: uni] : (dummy(v0, v4) = v6 & sort1(v0, v1) = v5 & % 28.10/4.59 uni(v6) & ( ~ (v5 = 0) | v6 = v1))) % 28.10/4.59 % 28.10/4.59 (length_def3) % 28.10/4.59 ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ! [v3: uni] : ! [v4: uni] : ( ~ % 28.10/4.59 (mk_rarray1(v0, v1, v2, v3) = v4) | ~ ty(v0) | ~ uni(v3) | ~ uni(v1) | % 28.10/4.59 length3(v0, v4) = v2) % 28.10/4.59 % 28.10/4.59 (make_def1) % 28.10/4.59 ! [v0: ty] : ! [v1: int] : ! [v2: uni] : ! [v3: uni] : ( ~ (make3(v0, v1, % 28.10/4.59 v2) = v3) | ~ ty(v0) | ~ uni(v2) | ? [v4: uni] : (mk_rarray1(v0, v2, % 28.10/4.59 v1, v4) = v3 & make2(v0, v1, v2) = v4 & uni(v4) & uni(v3))) & ! [v0: % 28.10/4.59 ty] : ! [v1: int] : ! [v2: uni] : ! [v3: uni] : ( ~ (make2(v0, v1, v2) = % 28.10/4.59 v3) | ~ ty(v0) | ~ uni(v2) | ? [v4: uni] : (make3(v0, v1, v2) = v4 & % 28.10/4.59 mk_rarray1(v0, v2, v1, v3) = v4 & uni(v4))) % 28.10/4.59 % 28.10/4.59 (mixfix_lblsmnrb_def) % 28.10/4.60 ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ! [v3: uni] : ! [v4: uni] : ! % 28.10/4.60 [v5: uni] : ( ~ (data(v0, v1) = v4) | ~ (set2(v0, v4, v2, v3) = v5) | ~ % 28.10/4.60 ty(v0) | ~ uni(v3) | ~ uni(v1) | ? [v6: uni] : ? [v7: uni] : ? [v8: % 28.10/4.60 int] : (mixfix_lblsmnrb1(v0, v1, v2, v3) = v6 & length3(v0, v1) = v8 & % 28.10/4.60 dummy(v0, v1) = v7 & mk_rarray1(v0, v7, v8, v5) = v6 & uni(v7) & uni(v6))) % 28.10/4.60 & ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ! [v3: uni] : ! [v4: uni] : ( % 28.10/4.60 ~ (mixfix_lblsmnrb1(v0, v1, v2, v3) = v4) | ~ ty(v0) | ~ uni(v3) | ~ % 28.10/4.60 uni(v1) | ? [v5: uni] : ? [v6: int] : ? [v7: uni] : ? [v8: uni] : % 28.10/4.60 (data(v0, v1) = v7 & length3(v0, v1) = v6 & dummy(v0, v1) = v5 & % 28.10/4.60 mk_rarray1(v0, v5, v6, v8) = v4 & set2(v0, v7, v2, v3) = v8 & uni(v8) & % 28.10/4.60 uni(v7) & uni(v5) & uni(v4))) % 28.10/4.60 % 28.10/4.60 (rarray_inversion1) % 28.10/4.60 ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ( ~ (data(v0, v1) = v2) | ~ % 28.10/4.60 ty(v0) | ~ uni(v1) | ? [v3: uni] : ? [v4: int] : (length3(v0, v1) = v4 & % 28.10/4.60 dummy(v0, v1) = v3 & mk_rarray1(v0, v3, v4, v2) = v1 & uni(v3))) & ! [v0: % 28.10/4.60 ty] : ! [v1: uni] : ! [v2: int] : ( ~ (length3(v0, v1) = v2) | ~ ty(v0) | % 28.10/4.60 ~ uni(v1) | ? [v3: uni] : ? [v4: uni] : (data(v0, v1) = v4 & dummy(v0, % 28.10/4.60 v1) = v3 & mk_rarray1(v0, v3, v2, v4) = v1 & uni(v4) & uni(v3))) & ! % 28.10/4.60 [v0: ty] : ! [v1: uni] : ! [v2: uni] : ( ~ (dummy(v0, v1) = v2) | ~ ty(v0) % 28.10/4.60 | ~ uni(v1) | ? [v3: int] : ? [v4: uni] : (data(v0, v1) = v4 & % 28.10/4.60 length3(v0, v1) = v3 & mk_rarray1(v0, v2, v3, v4) = v1 & uni(v4))) % 28.10/4.60 % 28.10/4.60 (select_eq) % 28.10/4.60 ! [v0: ty] : ! [v1: ty] : ! [v2: uni] : ! [v3: uni] : ! [v4: uni] : ! % 28.10/4.60 [v5: uni] : ! [v6: uni] : (v6 = v4 | ~ (set(v1, v0, v2, v3, v4) = v5) | ~ % 28.10/4.60 (get(v1, v0, v5, v3) = v6) | ~ ty(v1) | ~ ty(v0) | ~ uni(v4) | ~ uni(v3) % 28.10/4.60 | ~ uni(v2) | ? [v7: int] : ( ~ (v7 = 0) & sort1(v1, v4) = v7)) % 28.10/4.60 % 28.10/4.60 (set_def) % 28.10/4.60 ty(int) & ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ! [v3: uni] : ! [v4: % 28.10/4.60 uni] : ! [v5: uni] : ! [v6: uni] : ( ~ (t2tb(v2) = v5) | ~ (elts(v0, v1) % 28.10/4.60 = v4) | ~ (set(v0, int, v4, v5, v3) = v6) | ~ ty(v0) | ~ uni(v3) | ~ % 28.10/4.60 uni(v1) | ? [v7: uni] : ? [v8: int] : (set2(v0, v1, v2, v3) = v7 & % 28.10/4.60 length2(v0, v1) = v8 & mk_array1(v0, v8, v6) = v7 & uni(v7))) & ! [v0: % 28.10/4.60 ty] : ! [v1: uni] : ! [v2: int] : ! [v3: uni] : ! [v4: uni] : ( ~ % 28.10/4.60 (set2(v0, v1, v2, v3) = v4) | ~ ty(v0) | ~ uni(v3) | ~ uni(v1) | ? [v5: % 28.10/4.60 int] : ? [v6: uni] : ? [v7: uni] : ? [v8: uni] : (t2tb(v2) = v7 & % 28.10/4.60 elts(v0, v1) = v6 & length2(v0, v1) = v5 & mk_array1(v0, v5, v8) = v4 & % 28.10/4.60 set(v0, int, v6, v7, v3) = v8 & uni(v8) & uni(v7) & uni(v6) & uni(v4))) % 28.10/4.60 % 28.10/4.60 (t2tb_sort) % 28.10/4.60 ty(int) & ! [v0: int] : ! [v1: uni] : ( ~ (t2tb(v0) = v1) | sort1(int, v1) = % 28.10/4.60 0) % 28.10/4.60 % 28.10/4.60 (wP_parameter_test2) % 28.10/4.62 ty(int) & ? [v0: uni] : ? [v1: uni] : ? [v2: int] : ? [v3: uni] : ? [v4: % 28.10/4.62 int] : ? [v5: uni] : ? [v6: uni] : ? [v7: int] : ? [v8: rarray_int] : ? % 28.10/4.62 [v9: uni] : ? [v10: uni] : ? [v11: map_int_int] : ? [v12: uni] : ? [v13: % 28.10/4.62 uni] : ? [v14: map_int_int] : ? [v15: uni] : ? [v16: map_int_int] : ? % 28.10/4.62 [v17: uni] : ? [v18: map_int_int] : ? [v19: uni] : ? [v20: uni] : ? [v21: % 28.10/4.62 int] : ? [v22: int] : ? [v23: map_int_int] : ? [v24: int] : ? [v25: uni] % 28.10/4.62 : ? [v26: uni] : ? [v27: int] : ? [v28: uni] : ? [v29: int] : ? [v30: % 28.10/4.62 int] : ? [v31: int] : ? [v32: array_int] : ? [v33: uni] : ? [v34: uni] : % 28.10/4.62 ? [v35: uni] : ? [v36: rarray_int] : ? [v37: int] : ? [v38: int] : ? % 28.10/4.62 [v39: array_int] : ? [v40: uni] : ? [v41: uni] : ? [v42: uni] : ? [v43: % 28.10/4.62 rarray_int] : ? [v44: int] : ? [v45: map_int_int] : ? [v46: uni] : ? % 28.10/4.62 [v47: uni] : ? [v48: array_int] : ? [v49: int] : ? [v50: int] : ? [v51: % 28.10/4.62 array_int] : ? [v52: uni] : ? [v53: uni] : ? [v54: uni] : ? [v55: % 28.10/4.62 rarray_int] : ? [v56: int] : ? [v57: int] : ? [v58: int] : ? [v59: % 28.10/4.62 array_int] : ? [v60: uni] : ? [v61: uni] : ? [v62: uni] : ? [v63: % 28.10/4.62 rarray_int] : ? [v64: int] : ? [v65: int] : ? [v66: int] : ? [v67: % 28.10/4.62 array_int] : ? [v68: uni] : ? [v69: uni] : ? [v70: uni] : ? [v71: % 28.10/4.62 rarray_int] : ? [v72: int] : ? [v73: map_int_int] : ? [v74: uni] : ? % 28.10/4.62 [v75: uni] : ? [v76: array_int] : ? [v77: int] : ? [v78: int] : ? [v79: % 28.10/4.62 array_int] : ? [v80: uni] : ? [v81: uni] : ? [v82: uni] : ? [v83: % 28.10/4.62 rarray_int] : ? [v84: int] : ? [v85: int] : ? [v86: int] : ? [v87: % 28.10/4.62 array_int] : ? [v88: uni] : ? [v89: uni] : ? [v90: uni] : ? [v91: int] : % 28.10/4.62 ($lesseq(0, v91) & $lesseq(v2, v4) & $lesseq(0, v2) & tb2t3(v90) = v8 & % 28.10/4.62 tb2t3(v1) = v8 & t2tb2(v87) = v89 & tb2t1(v13) = v14 & tb2t1(v10) = v11 & % 28.10/4.62 make3(int, 10, v0) = v1 & data(int, v1) = v3 & length3(int, v1) = v2 & % 28.10/4.62 dummy(int, v1) = v6 & mk_rarray1(int, v88, v86, v89) = v90 & tb2t(v6) = v7 & % 28.10/4.62 t2tb(v85) = v88 & t2tb(42) = v12 & t2tb(17) = v9 & t2tb(10) = v15 & t2tb(0) % 28.10/4.62 = v0 & elts(int, v3) = v5 & length2(int, v89) = v91 & length2(int, v3) = v4 % 28.10/4.62 & set(int, int, v5, v0, v12) = v13 & set(int, int, v5, v0, v9) = v10 & % 28.10/4.62 rarray_int(v8) & array_int(v87) & array_int(v79) & array_int(v67) & % 28.10/4.62 array_int(v59) & array_int(v51) & array_int(v39) & array_int(v32) & % 28.10/4.62 map_int_int(v73) & map_int_int(v45) & map_int_int(v23) & map_int_int(v18) & % 28.10/4.62 map_int_int(v16) & map_int_int(v14) & map_int_int(v11) & uni(v90) & uni(v89) % 28.10/4.62 & uni(v88) & uni(v15) & uni(v13) & uni(v12) & uni(v10) & uni(v9) & uni(v6) & % 28.10/4.62 uni(v5) & uni(v3) & uni(v1) & uni(v0) & ! [v92: int] : ! [v93: uni] : ( ~ % 28.10/4.62 ($lesseq(1, $difference(v4, v92))) | ~ ($lesseq(v2, v92)) | ~ (t2tb(v92) % 28.10/4.62 = v93) | ? [v94: uni] : (tb2t(v94) = v7 & get(int, int, v5, v93) = v94 % 28.10/4.62 & uni(v94))) & ( ~ ($lesseq(1, v2)) | (v83 = v8 & v76 = v67 & v72 = v4 & % 28.10/4.62 v71 = v8 & v68 = v40 & v66 = v2 & v65 = v7 & v63 = v8 & v55 = v8 & v48 = % 28.10/4.62 v39 & v44 = v4 & v43 = v8 & v38 = v2 & v37 = v7 & v36 = v8 & v24 = % 28.10/4.62 $product(2, v2) & v18 = v14 & v16 = v11 & $lesseq(0, v84) & $lesseq(0, % 28.10/4.62 v64) & $lesseq(0, v56) & $lesseq(0, $difference(v22, $product(2, v2))) % 28.10/4.62 & tb2t3(v82) = v8 & tb2t3(v70) = v8 & tb2t3(v62) = v8 & tb2t3(v54) = v8 % 28.10/4.62 & tb2t3(v42) = v8 & tb2t3(v35) = v8 & tb2t2(v75) = v67 & tb2t2(v47) = % 28.10/4.62 v39 & t2tb2(v79) = v81 & t2tb2(v67) = v69 & t2tb2(v59) = v61 & % 28.10/4.62 t2tb2(v51) = v53 & t2tb2(v39) = v41 & t2tb2(v32) = v34 & t2tb1(v73) = % 28.10/4.62 v74 & t2tb1(v45) = v46 & t2tb1(v23) = v25 & t2tb1(v14) = v19 & % 28.10/4.62 t2tb1(v11) = v17 & mk_rarray1(int, v80, v78, v81) = v82 & % 28.10/4.62 mk_rarray1(int, v60, v58, v61) = v62 & mk_rarray1(int, v52, v50, v53) = % 28.10/4.62 v54 & mk_rarray1(int, v40, v2, v69) = v70 & mk_rarray1(int, v40, v2, % 28.10/4.62 v41) = v42 & mk_rarray1(int, v33, v31, v34) = v35 & tb2t(v28) = v29 & % 28.10/4.62 tb2t(v26) = v27 & tb2t(v20) = v21 & t2tb(v77) = v80 & t2tb(v57) = v60 & % 28.10/4.62 t2tb(v49) = v52 & t2tb(v30) = v33 & t2tb(v7) = v40 & length2(int, v81) = % 28.10/4.62 v84 & length2(int, v61) = v64 & length2(int, v53) = v56 & mk_array1(int, % 28.10/4.62 v4, v74) = v75 & mk_array1(int, v4, v46) = v47 & get(int, int, v25, % 28.10/4.62 v15) = v28 & get(int, int, v25, v0) = v26 & get(int, int, v19, v0) = % 28.10/4.62 v20 & uni(v82) & uni(v81) & uni(v80) & uni(v75) & uni(v74) & uni(v70) & % 28.10/4.62 uni(v69) & uni(v62) & uni(v61) & uni(v60) & uni(v54) & uni(v53) & % 28.10/4.62 uni(v52) & uni(v47) & uni(v46) & uni(v42) & uni(v41) & uni(v40) & % 28.10/4.62 uni(v35) & uni(v34) & uni(v33) & uni(v28) & uni(v26) & uni(v25) & % 28.10/4.62 uni(v20) & uni(v19) & uni(v17) & ! [v92: int] : ! [v93: uni] : ( ~ % 28.10/4.62 ($lesseq(1, $difference(v22, v92))) | ~ ($lesseq(0, $difference(v92, % 28.10/4.62 $product(2, v2)))) | ~ (t2tb(v92) = v93) | ? [v94: uni] : % 28.10/4.62 (tb2t(v94) = v7 & get(int, int, v25, v93) = v94 & uni(v94))) & ! % 28.10/4.62 [v92: int] : ! [v93: uni] : ( ~ ($lesseq(1, $difference(v4, v92))) | ~ % 28.10/4.62 ($lesseq(v2, v92)) | ~ (t2tb(v92) = v93) | ? [v94: uni] : (tb2t(v94) % 28.10/4.62 = v7 & get(int, int, v19, v93) = v94 & uni(v94))) & ! [v92: int] : % 28.10/4.62 ! [v93: uni] : ( ~ ($lesseq(1, $difference(v4, v92))) | ~ ($lesseq(v2, % 28.10/4.62 v92)) | ~ (t2tb(v92) = v93) | ? [v94: uni] : (tb2t(v94) = v7 & % 28.10/4.62 get(int, int, v17, v93) = v94 & uni(v94))) & ! [v92: int] : ! % 28.10/4.62 [v93: uni] : ( ~ ($lesseq(1, $difference(v4, v92))) | ~ ($lesseq(v2, % 28.10/4.62 v92)) | ~ (t2tb(v92) = v93) | ? [v94: uni] : (tb2t(v94) = v7 & % 28.10/4.62 get(int, int, v5, v93) = v94 & uni(v94))) & ! [v92: int] : ! [v93: % 28.10/4.62 uni] : ( ~ ($lesseq(1, $difference($product(2, v2), v92))) | ~ % 28.10/4.62 ($lesseq(0, v92)) | ~ (t2tb($difference(v92, v2)) = v93) | ? [v94: % 28.10/4.62 uni] : ? [v95: uni] : ? [v96: int] : ? [v97: uni] : ? [v98: int] % 28.10/4.62 : ? [v99: uni] : ? [v100: int] : (tb2t(v99) = v100 & tb2t(v97) = v98 % 28.10/4.62 & tb2t(v95) = v96 & t2tb(v92) = v94 & get(int, int, v25, v94) = v95 % 28.10/4.62 & get(int, int, v19, v93) = v99 & get(int, int, v17, v94) = v97 & % 28.10/4.62 uni(v99) & uni(v97) & uni(v95) & uni(v94) & (v100 = v96 | ~ % 28.10/4.62 ($lesseq(v2, v92))) & (v98 = v96 | ~ ($lesseq(1, $difference(v2, % 28.10/4.62 v92)))))) & ! [v92: int] : ! [v93: uni] : ( ~ ($lesseq(1, % 28.10/4.62 $difference($product(2, v2), v92))) | ~ ($lesseq(0, v92)) | ~ % 28.10/4.62 (t2tb(v92) = v93) | ? [v94: uni] : ? [v95: int] : ? [v96: uni] : ? % 28.10/4.62 [v97: int] : ? [v98: uni] : ? [v99: uni] : ? [v100: int] : % 28.10/4.62 (tb2t(v99) = v100 & tb2t(v96) = v97 & tb2t(v94) = v95 & % 28.10/4.62 t2tb($difference(v92, v2)) = v98 & get(int, int, v25, v93) = v94 & % 28.10/4.62 get(int, int, v19, v98) = v99 & get(int, int, v17, v93) = v96 & % 28.10/4.62 uni(v99) & uni(v98) & uni(v96) & uni(v94) & (v100 = v95 | ~ % 28.10/4.62 ($lesseq(v2, v92))) & (v97 = v95 | ~ ($lesseq(1, $difference(v2, % 28.10/4.62 v92)))))) & ( ~ (v29 = 42) | ~ (v27 = 17) | ~ (v21 = 42) | % 28.10/4.62 ~ (v2 = 10))))) % 28.10/4.62 % 28.10/4.62 (function-axioms) % 28.10/4.63 ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: uni] : ! [v4: uni] : ! % 28.10/4.63 [v5: ty] : ! [v6: ty] : (v1 = v0 | ~ (set(v6, v5, v4, v3, v2) = v1) | ~ % 28.10/4.63 (set(v6, v5, v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] % 28.10/4.63 : ! [v3: int] : ! [v4: uni] : ! [v5: ty] : (v1 = v0 | ~ % 28.10/4.63 (mixfix_lblsmnrb1(v5, v4, v3, v2) = v1) | ~ (mixfix_lblsmnrb1(v5, v4, v3, % 28.10/4.63 v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: int] : % 28.10/4.63 ! [v4: uni] : ! [v5: ty] : (v1 = v0 | ~ (mk_rarray1(v5, v4, v3, v2) = v1) | % 28.10/4.63 ~ (mk_rarray1(v5, v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! % 28.10/4.63 [v2: uni] : ! [v3: int] : ! [v4: uni] : ! [v5: ty] : (v1 = v0 | ~ % 28.10/4.63 (set2(v5, v4, v3, v2) = v1) | ~ (set2(v5, v4, v3, v2) = v0)) & ! [v0: uni] % 28.10/4.63 : ! [v1: uni] : ! [v2: uni] : ! [v3: uni] : ! [v4: ty] : ! [v5: ty] : (v1 % 28.10/4.63 = v0 | ~ (get(v5, v4, v3, v2) = v1) | ~ (get(v5, v4, v3, v2) = v0)) & ! % 28.10/4.63 [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: uni] : ! [v4: bool1] : ! % 28.10/4.63 [v5: ty] : (v1 = v0 | ~ (match_bool1(v5, v4, v3, v2) = v1) | ~ % 28.10/4.63 (match_bool1(v5, v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: % 28.10/4.63 uni] : ! [v3: int] : ! [v4: ty] : (v1 = v0 | ~ (make3(v4, v3, v2) = v1) | % 28.10/4.63 ~ (make3(v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: int] : % 28.10/4.63 ! [v3: uni] : ! [v4: ty] : (v1 = v0 | ~ (mixfix_lbrb1(v4, v3, v2) = v1) | ~ % 28.10/4.63 (mixfix_lbrb1(v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: % 28.10/4.63 uni] : ! [v3: int] : ! [v4: ty] : (v1 = v0 | ~ (make2(v4, v3, v2) = v1) | % 28.10/4.63 ~ (make2(v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: int] : % 28.10/4.63 ! [v3: uni] : ! [v4: ty] : (v1 = v0 | ~ (get2(v4, v3, v2) = v1) | ~ % 28.10/4.63 (get2(v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! % 28.10/4.63 [v3: int] : ! [v4: ty] : (v1 = v0 | ~ (mk_array1(v4, v3, v2) = v1) | ~ % 28.10/4.63 (mk_array1(v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : % 28.10/4.63 ! [v3: ty] : ! [v4: ty] : (v1 = v0 | ~ (const(v4, v3, v2) = v1) | ~ % 28.10/4.63 (const(v4, v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! % 28.10/4.63 [v3: ty] : (v1 = v0 | ~ (data(v3, v2) = v1) | ~ (data(v3, v2) = v0)) & ! % 28.10/4.63 [v0: int] : ! [v1: int] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | ~ % 28.10/4.63 (length3(v3, v2) = v1) | ~ (length3(v3, v2) = v0)) & ! [v0: uni] : ! [v1: % 28.10/4.63 uni] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | ~ (dummy(v3, v2) = v1) | ~ % 28.10/4.63 (dummy(v3, v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: % 28.10/4.63 ty] : (v1 = v0 | ~ (elts(v3, v2) = v1) | ~ (elts(v3, v2) = v0)) & ! [v0: % 28.10/4.63 int] : ! [v1: int] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | ~ % 28.10/4.63 (length2(v3, v2) = v1) | ~ (length2(v3, v2) = v0)) & ! [v0: ty] : ! [v1: % 28.10/4.63 ty] : ! [v2: ty] : ! [v3: ty] : (v1 = v0 | ~ (map(v3, v2) = v1) | ~ % 28.10/4.63 (map(v3, v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: % 28.10/4.63 int] : (v1 = v0 | ~ (min1(v3, v2) = v1) | ~ (min1(v3, v2) = v0)) & ! [v0: % 28.10/4.63 int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v1 = v0 | ~ (max1(v3, % 28.10/4.63 v2) = v1) | ~ (max1(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 28.10/4.63 [v1: MultipleValueBool] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | ~ % 28.10/4.63 (sort1(v3, v2) = v1) | ~ (sort1(v3, v2) = v0)) & ! [v0: rarray_int] : ! % 28.10/4.63 [v1: rarray_int] : ! [v2: uni] : (v1 = v0 | ~ (tb2t3(v2) = v1) | ~ % 28.10/4.63 (tb2t3(v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: rarray_int] : (v1 % 28.10/4.63 = v0 | ~ (t2tb3(v2) = v1) | ~ (t2tb3(v2) = v0)) & ! [v0: array_int] : ! % 28.10/4.63 [v1: array_int] : ! [v2: uni] : (v1 = v0 | ~ (tb2t2(v2) = v1) | ~ % 28.10/4.63 (tb2t2(v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: array_int] : (v1 = % 28.10/4.63 v0 | ~ (t2tb2(v2) = v1) | ~ (t2tb2(v2) = v0)) & ! [v0: map_int_int] : ! % 28.10/4.63 [v1: map_int_int] : ! [v2: uni] : (v1 = v0 | ~ (tb2t1(v2) = v1) | ~ % 28.10/4.63 (tb2t1(v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: map_int_int] : (v1 % 28.10/4.63 = v0 | ~ (t2tb1(v2) = v1) | ~ (t2tb1(v2) = v0)) & ! [v0: ty] : ! [v1: % 28.10/4.63 ty] : ! [v2: ty] : (v1 = v0 | ~ (rarray(v2) = v1) | ~ (rarray(v2) = v0)) % 28.10/4.63 & ! [v0: int] : ! [v1: int] : ! [v2: uni] : (v1 = v0 | ~ (tb2t(v2) = v1) | % 28.10/4.63 ~ (tb2t(v2) = v0)) & ! [v0: uni] : ! [v1: uni] : ! [v2: int] : (v1 = v0 % 28.10/4.63 | ~ (t2tb(v2) = v1) | ~ (t2tb(v2) = v0)) & ! [v0: ty] : ! [v1: ty] : ! % 28.10/4.63 [v2: ty] : (v1 = v0 | ~ (array(v2) = v1) | ~ (array(v2) = v0)) & ! [v0: % 28.10/4.63 uni] : ! [v1: uni] : ! [v2: ty] : (v1 = v0 | ~ (witness1(v2) = v1) | ~ % 28.10/4.63 (witness1(v2) = v0)) % 28.10/4.63 % 28.10/4.63 Further assumptions not needed in the proof: % 28.10/4.63 -------------------------------------------- % 28.10/4.63 bool_inversion, bridgeL1, bridgeL2, bridgeL3, bridgeR, bridgeR2, % 28.10/4.63 compatOrderMult, const, const_sort1, data_sort1, dummy_sort1, elts_def1, % 28.10/4.63 elts_sort1, get_def, get_sort2, get_sort3, length_def2, make_def, make_sort2, % 28.10/4.63 make_sort3, match_bool_False, match_bool_True, match_bool_sort1, max_is_ge, % 28.10/4.63 max_is_some, max_sym, max_x, max_y, min_is_le, min_is_some, min_sym, min_x, % 28.10/4.63 min_y, mixfix_lblsmnrb_sort1, mixfix_lbrb_def, mixfix_lbrb_sort1, % 28.10/4.63 mk_array_sort1, mk_rarray_sort1, select_neq, set_sort2, set_sort3, t2tb_sort1, % 28.10/4.63 t2tb_sort2, t2tb_sort3, true_False, tuple0_inversion, witness_sort1 % 28.10/4.63 % 28.10/4.63 Those formulas are unsatisfiable: % 28.10/4.63 --------------------------------- % 28.10/4.63 % 28.10/4.63 Begin of proof % 28.10/4.63 | % 28.10/4.63 | ALPHA: (array_inversion1) implies: % 28.10/4.64 | (1) ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ( ~ (length2(v0, v1) = v2) % 28.10/4.64 | | ~ ty(v0) | ~ uni(v1) | ? [v3: uni] : (elts(v0, v1) = v3 & % 28.10/4.64 | mk_array1(v0, v2, v3) = v1 & uni(v3))) % 28.10/4.64 | % 28.10/4.64 | ALPHA: (t2tb_sort) implies: % 28.10/4.64 | (2) ! [v0: int] : ! [v1: uni] : ( ~ (t2tb(v0) = v1) | sort1(int, v1) = 0) % 28.10/4.64 | % 28.10/4.64 | ALPHA: (set_def) implies: % 28.10/4.64 | (3) ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ! [v3: uni] : ! [v4: uni] % 28.10/4.64 | : ! [v5: uni] : ! [v6: uni] : ( ~ (t2tb(v2) = v5) | ~ (elts(v0, v1) % 28.10/4.64 | = v4) | ~ (set(v0, int, v4, v5, v3) = v6) | ~ ty(v0) | ~ uni(v3) % 28.10/4.64 | | ~ uni(v1) | ? [v7: uni] : ? [v8: int] : (set2(v0, v1, v2, v3) = % 28.10/4.64 | v7 & length2(v0, v1) = v8 & mk_array1(v0, v8, v6) = v7 & uni(v7))) % 28.10/4.64 | % 28.10/4.64 | ALPHA: (rarray_inversion1) implies: % 28.10/4.64 | (4) ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ( ~ (dummy(v0, v1) = v2) | % 28.10/4.64 | ~ ty(v0) | ~ uni(v1) | ? [v3: int] : ? [v4: uni] : (data(v0, v1) = % 28.10/4.64 | v4 & length3(v0, v1) = v3 & mk_rarray1(v0, v2, v3, v4) = v1 & % 28.10/4.64 | uni(v4))) % 28.10/4.64 | (5) ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ( ~ (length3(v0, v1) = v2) % 28.10/4.64 | | ~ ty(v0) | ~ uni(v1) | ? [v3: uni] : ? [v4: uni] : (data(v0, % 28.10/4.64 | v1) = v4 & dummy(v0, v1) = v3 & mk_rarray1(v0, v3, v2, v4) = v1 & % 28.10/4.64 | uni(v4) & uni(v3))) % 28.10/4.64 | (6) ! [v0: ty] : ! [v1: uni] : ! [v2: uni] : ( ~ (data(v0, v1) = v2) | % 28.10/4.64 | ~ ty(v0) | ~ uni(v1) | ? [v3: uni] : ? [v4: int] : (length3(v0, % 28.10/4.64 | v1) = v4 & dummy(v0, v1) = v3 & mk_rarray1(v0, v3, v4, v2) = v1 & % 28.10/4.64 | uni(v3))) % 28.10/4.64 | % 28.10/4.64 | ALPHA: (mixfix_lblsmnrb_def) implies: % 28.10/4.64 | (7) ! [v0: ty] : ! [v1: uni] : ! [v2: int] : ! [v3: uni] : ! [v4: uni] % 28.10/4.64 | : ! [v5: uni] : ( ~ (data(v0, v1) = v4) | ~ (set2(v0, v4, v2, v3) = % 28.10/4.64 | v5) | ~ ty(v0) | ~ uni(v3) | ~ uni(v1) | ? [v6: uni] : ? [v7: % 28.10/4.64 | uni] : ? [v8: int] : (mixfix_lblsmnrb1(v0, v1, v2, v3) = v6 & % 28.10/4.64 | length3(v0, v1) = v8 & dummy(v0, v1) = v7 & mk_rarray1(v0, v7, v8, % 28.10/4.64 | v5) = v6 & uni(v7) & uni(v6))) % 28.10/4.64 | % 28.10/4.64 | ALPHA: (make_def1) implies: % 28.10/4.64 | (8) ! [v0: ty] : ! [v1: int] : ! [v2: uni] : ! [v3: uni] : ( ~ % 28.10/4.64 | (make3(v0, v1, v2) = v3) | ~ ty(v0) | ~ uni(v2) | ? [v4: uni] : % 28.10/4.64 | (mk_rarray1(v0, v2, v1, v4) = v3 & make2(v0, v1, v2) = v4 & uni(v4) & % 28.10/4.64 | uni(v3))) % 28.10/4.64 | % 28.10/4.64 | ALPHA: (wP_parameter_test2) implies: % 28.10/4.64 | (9) ty(int) % 28.10/4.65 | (10) ? [v0: uni] : ? [v1: uni] : ? [v2: int] : ? [v3: uni] : ? [v4: % 28.10/4.66 | int] : ? [v5: uni] : ? [v6: uni] : ? [v7: int] : ? [v8: % 28.10/4.66 | rarray_int] : ? [v9: uni] : ? [v10: uni] : ? [v11: map_int_int] : % 28.10/4.66 | ? [v12: uni] : ? [v13: uni] : ? [v14: map_int_int] : ? [v15: uni] % 28.10/4.66 | : ? [v16: map_int_int] : ? [v17: uni] : ? [v18: map_int_int] : ? % 28.10/4.66 | [v19: uni] : ? [v20: uni] : ? [v21: int] : ? [v22: int] : ? [v23: % 28.10/4.66 | map_int_int] : ? [v24: int] : ? [v25: uni] : ? [v26: uni] : ? % 28.10/4.66 | [v27: int] : ? [v28: uni] : ? [v29: int] : ? [v30: int] : ? [v31: % 28.10/4.66 | int] : ? [v32: array_int] : ? [v33: uni] : ? [v34: uni] : ? % 28.10/4.66 | [v35: uni] : ? [v36: rarray_int] : ? [v37: int] : ? [v38: int] : ? % 28.10/4.66 | [v39: array_int] : ? [v40: uni] : ? [v41: uni] : ? [v42: uni] : ? % 28.10/4.66 | [v43: rarray_int] : ? [v44: int] : ? [v45: map_int_int] : ? [v46: % 28.10/4.66 | uni] : ? [v47: uni] : ? [v48: array_int] : ? [v49: int] : ? % 28.10/4.66 | [v50: int] : ? [v51: array_int] : ? [v52: uni] : ? [v53: uni] : ? % 28.10/4.66 | [v54: uni] : ? [v55: rarray_int] : ? [v56: int] : ? [v57: int] : ? % 28.10/4.66 | [v58: int] : ? [v59: array_int] : ? [v60: uni] : ? [v61: uni] : ? % 28.10/4.66 | [v62: uni] : ? [v63: rarray_int] : ? [v64: int] : ? [v65: int] : ? % 28.10/4.66 | [v66: int] : ? [v67: array_int] : ? [v68: uni] : ? [v69: uni] : ? % 28.10/4.66 | [v70: uni] : ? [v71: rarray_int] : ? [v72: int] : ? [v73: % 28.10/4.66 | map_int_int] : ? [v74: uni] : ? [v75: uni] : ? [v76: array_int] : % 28.10/4.66 | ? [v77: int] : ? [v78: int] : ? [v79: array_int] : ? [v80: uni] : % 28.10/4.66 | ? [v81: uni] : ? [v82: uni] : ? [v83: rarray_int] : ? [v84: int] : % 28.10/4.66 | ? [v85: int] : ? [v86: int] : ? [v87: array_int] : ? [v88: uni] : % 28.10/4.66 | ? [v89: uni] : ? [v90: uni] : ? [v91: int] : ($lesseq(0, v91) & % 28.10/4.66 | $lesseq(v2, v4) & $lesseq(0, v2) & tb2t3(v90) = v8 & tb2t3(v1) = v8 % 28.10/4.66 | & t2tb2(v87) = v89 & tb2t1(v13) = v14 & tb2t1(v10) = v11 & % 28.10/4.66 | make3(int, 10, v0) = v1 & data(int, v1) = v3 & length3(int, v1) = v2 % 28.10/4.66 | & dummy(int, v1) = v6 & mk_rarray1(int, v88, v86, v89) = v90 & % 28.10/4.66 | tb2t(v6) = v7 & t2tb(v85) = v88 & t2tb(42) = v12 & t2tb(17) = v9 & % 28.10/4.66 | t2tb(10) = v15 & t2tb(0) = v0 & elts(int, v3) = v5 & length2(int, % 28.10/4.66 | v89) = v91 & length2(int, v3) = v4 & set(int, int, v5, v0, v12) = % 28.10/4.66 | v13 & set(int, int, v5, v0, v9) = v10 & rarray_int(v8) & % 28.10/4.66 | array_int(v87) & array_int(v79) & array_int(v67) & array_int(v59) & % 28.10/4.66 | array_int(v51) & array_int(v39) & array_int(v32) & map_int_int(v73) % 28.10/4.66 | & map_int_int(v45) & map_int_int(v23) & map_int_int(v18) & % 28.10/4.66 | map_int_int(v16) & map_int_int(v14) & map_int_int(v11) & uni(v90) & % 28.10/4.66 | uni(v89) & uni(v88) & uni(v15) & uni(v13) & uni(v12) & uni(v10) & % 28.10/4.66 | uni(v9) & uni(v6) & uni(v5) & uni(v3) & uni(v1) & uni(v0) & ! [v92: % 28.10/4.66 | int] : ! [v93: uni] : ( ~ ($lesseq(1, $difference(v4, v92))) | ~ % 28.10/4.66 | ($lesseq(v2, v92)) | ~ (t2tb(v92) = v93) | ? [v94: uni] : % 28.10/4.66 | (tb2t(v94) = v7 & get(int, int, v5, v93) = v94 & uni(v94))) & ( ~ % 28.10/4.66 | ($lesseq(1, v2)) | (v83 = v8 & v76 = v67 & v72 = v4 & v71 = v8 & % 28.10/4.66 | v68 = v40 & v66 = v2 & v65 = v7 & v63 = v8 & v55 = v8 & v48 = % 28.10/4.66 | v39 & v44 = v4 & v43 = v8 & v38 = v2 & v37 = v7 & v36 = v8 & v24 % 28.10/4.66 | = $product(2, v2) & v18 = v14 & v16 = v11 & $lesseq(0, v84) & % 28.10/4.66 | $lesseq(0, v64) & $lesseq(0, v56) & $lesseq(0, $difference(v22, % 28.10/4.66 | $product(2, v2))) & tb2t3(v82) = v8 & tb2t3(v70) = v8 & % 28.10/4.66 | tb2t3(v62) = v8 & tb2t3(v54) = v8 & tb2t3(v42) = v8 & tb2t3(v35) % 28.10/4.66 | = v8 & tb2t2(v75) = v67 & tb2t2(v47) = v39 & t2tb2(v79) = v81 & % 28.10/4.66 | t2tb2(v67) = v69 & t2tb2(v59) = v61 & t2tb2(v51) = v53 & % 28.10/4.66 | t2tb2(v39) = v41 & t2tb2(v32) = v34 & t2tb1(v73) = v74 & % 28.10/4.66 | t2tb1(v45) = v46 & t2tb1(v23) = v25 & t2tb1(v14) = v19 & % 28.10/4.66 | t2tb1(v11) = v17 & mk_rarray1(int, v80, v78, v81) = v82 & % 28.10/4.66 | mk_rarray1(int, v60, v58, v61) = v62 & mk_rarray1(int, v52, v50, % 28.10/4.66 | v53) = v54 & mk_rarray1(int, v40, v2, v69) = v70 & % 28.10/4.66 | mk_rarray1(int, v40, v2, v41) = v42 & mk_rarray1(int, v33, v31, % 28.10/4.66 | v34) = v35 & tb2t(v28) = v29 & tb2t(v26) = v27 & tb2t(v20) = % 28.10/4.66 | v21 & t2tb(v77) = v80 & t2tb(v57) = v60 & t2tb(v49) = v52 & % 28.10/4.66 | t2tb(v30) = v33 & t2tb(v7) = v40 & length2(int, v81) = v84 & % 28.10/4.66 | length2(int, v61) = v64 & length2(int, v53) = v56 & % 28.10/4.66 | mk_array1(int, v4, v74) = v75 & mk_array1(int, v4, v46) = v47 & % 28.10/4.66 | get(int, int, v25, v15) = v28 & get(int, int, v25, v0) = v26 & % 28.10/4.66 | get(int, int, v19, v0) = v20 & uni(v82) & uni(v81) & uni(v80) & % 28.10/4.66 | uni(v75) & uni(v74) & uni(v70) & uni(v69) & uni(v62) & uni(v61) % 28.10/4.66 | & uni(v60) & uni(v54) & uni(v53) & uni(v52) & uni(v47) & % 28.10/4.66 | uni(v46) & uni(v42) & uni(v41) & uni(v40) & uni(v35) & uni(v34) % 28.10/4.66 | & uni(v33) & uni(v28) & uni(v26) & uni(v25) & uni(v20) & % 28.10/4.66 | uni(v19) & uni(v17) & ! [v92: int] : ! [v93: uni] : ( ~ % 28.10/4.66 | ($lesseq(1, $difference(v22, v92))) | ~ ($lesseq(0, % 28.10/4.66 | $difference(v92, $product(2, v2)))) | ~ (t2tb(v92) = v93) % 28.10/4.66 | | ? [v94: uni] : (tb2t(v94) = v7 & get(int, int, v25, v93) = % 28.10/4.66 | v94 & uni(v94))) & ! [v92: int] : ! [v93: uni] : ( ~ % 28.10/4.66 | ($lesseq(1, $difference(v4, v92))) | ~ ($lesseq(v2, v92)) | % 28.10/4.66 | ~ (t2tb(v92) = v93) | ? [v94: uni] : (tb2t(v94) = v7 & % 28.10/4.66 | get(int, int, v19, v93) = v94 & uni(v94))) & ! [v92: int] : % 28.10/4.66 | ! [v93: uni] : ( ~ ($lesseq(1, $difference(v4, v92))) | ~ % 28.10/4.66 | ($lesseq(v2, v92)) | ~ (t2tb(v92) = v93) | ? [v94: uni] : % 28.10/4.66 | (tb2t(v94) = v7 & get(int, int, v17, v93) = v94 & uni(v94))) & % 28.10/4.66 | ! [v92: int] : ! [v93: uni] : ( ~ ($lesseq(1, $difference(v4, % 28.10/4.66 | v92))) | ~ ($lesseq(v2, v92)) | ~ (t2tb(v92) = v93) | % 28.10/4.66 | ? [v94: uni] : (tb2t(v94) = v7 & get(int, int, v5, v93) = v94 % 28.10/4.66 | & uni(v94))) & ! [v92: int] : ! [v93: uni] : ( ~ % 28.10/4.66 | ($lesseq(1, $difference($product(2, v2), v92))) | ~ % 28.10/4.66 | ($lesseq(0, v92)) | ~ (t2tb($difference(v92, v2)) = v93) | ? % 28.10/4.66 | [v94: uni] : ? [v95: uni] : ? [v96: int] : ? [v97: uni] : % 28.10/4.66 | ? [v98: int] : ? [v99: uni] : ? [v100: int] : (tb2t(v99) = % 28.10/4.66 | v100 & tb2t(v97) = v98 & tb2t(v95) = v96 & t2tb(v92) = v94 & % 28.10/4.66 | get(int, int, v25, v94) = v95 & get(int, int, v19, v93) = % 28.10/4.66 | v99 & get(int, int, v17, v94) = v97 & uni(v99) & uni(v97) & % 28.10/4.66 | uni(v95) & uni(v94) & (v100 = v96 | ~ ($lesseq(v2, v92))) & % 28.10/4.66 | (v98 = v96 | ~ ($lesseq(1, $difference(v2, v92)))))) & ! % 28.10/4.66 | [v92: int] : ! [v93: uni] : ( ~ ($lesseq(1, % 28.10/4.66 | $difference($product(2, v2), v92))) | ~ ($lesseq(0, v92)) % 28.10/4.66 | | ~ (t2tb(v92) = v93) | ? [v94: uni] : ? [v95: int] : ? % 28.10/4.66 | [v96: uni] : ? [v97: int] : ? [v98: uni] : ? [v99: uni] : % 28.10/4.66 | ? [v100: int] : (tb2t(v99) = v100 & tb2t(v96) = v97 & % 28.10/4.66 | tb2t(v94) = v95 & t2tb($difference(v92, v2)) = v98 & % 28.10/4.66 | get(int, int, v25, v93) = v94 & get(int, int, v19, v98) = % 28.10/4.66 | v99 & get(int, int, v17, v93) = v96 & uni(v99) & uni(v98) & % 28.10/4.66 | uni(v96) & uni(v94) & (v100 = v95 | ~ ($lesseq(v2, v92))) & % 28.10/4.66 | (v97 = v95 | ~ ($lesseq(1, $difference(v2, v92)))))) & ( ~ % 28.10/4.66 | (v29 = 42) | ~ (v27 = 17) | ~ (v21 = 42) | ~ (v2 = 10))))) % 28.10/4.66 | % 28.10/4.66 | ALPHA: (function-axioms) implies: % 28.51/4.66 | (11) ! [v0: uni] : ! [v1: uni] : ! [v2: int] : (v1 = v0 | ~ (t2tb(v2) = % 28.51/4.66 | v1) | ~ (t2tb(v2) = v0)) % 28.51/4.66 | (12) ! [v0: int] : ! [v1: int] : ! [v2: uni] : (v1 = v0 | ~ (tb2t(v2) = % 28.51/4.66 | v1) | ~ (tb2t(v2) = v0)) % 28.51/4.66 | (13) ! [v0: uni] : ! [v1: uni] : ! [v2: map_int_int] : (v1 = v0 | ~ % 28.51/4.66 | (t2tb1(v2) = v1) | ~ (t2tb1(v2) = v0)) % 28.51/4.66 | (14) ! [v0: uni] : ! [v1: uni] : ! [v2: rarray_int] : (v1 = v0 | ~ % 28.51/4.66 | (t2tb3(v2) = v1) | ~ (t2tb3(v2) = v0)) % 28.51/4.66 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: uni] % 28.51/4.66 | : ! [v3: ty] : (v1 = v0 | ~ (sort1(v3, v2) = v1) | ~ (sort1(v3, v2) % 28.51/4.66 | = v0)) % 28.51/4.66 | (16) ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | % 28.51/4.66 | ~ (elts(v3, v2) = v1) | ~ (elts(v3, v2) = v0)) % 28.51/4.66 | (17) ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | % 28.51/4.66 | ~ (dummy(v3, v2) = v1) | ~ (dummy(v3, v2) = v0)) % 28.51/4.66 | (18) ! [v0: int] : ! [v1: int] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | % 28.51/4.66 | ~ (length3(v3, v2) = v1) | ~ (length3(v3, v2) = v0)) % 28.51/4.66 | (19) ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: ty] : (v1 = v0 | % 28.51/4.66 | ~ (data(v3, v2) = v1) | ~ (data(v3, v2) = v0)) % 28.51/4.66 | (20) ! [v0: uni] : ! [v1: uni] : ! [v2: uni] : ! [v3: uni] : ! [v4: % 28.51/4.66 | ty] : ! [v5: ty] : (v1 = v0 | ~ (get(v5, v4, v3, v2) = v1) | ~ % 28.51/4.66 | (get(v5, v4, v3, v2) = v0)) % 28.51/4.66 | % 28.51/4.66 | DELTA: instantiating (10) with fresh symbols all_83_0, all_83_1, all_83_2, % 28.51/4.66 | all_83_3, all_83_4, all_83_5, all_83_6, all_83_7, all_83_8, all_83_9, % 28.51/4.66 | all_83_10, all_83_11, all_83_12, all_83_13, all_83_14, all_83_15, % 28.51/4.66 | all_83_16, all_83_17, all_83_18, all_83_19, all_83_20, all_83_21, % 28.51/4.66 | all_83_22, all_83_23, all_83_24, all_83_25, all_83_26, all_83_27, % 28.51/4.66 | all_83_28, all_83_29, all_83_30, all_83_31, all_83_32, all_83_33, % 28.51/4.66 | all_83_34, all_83_35, all_83_36, all_83_37, all_83_38, all_83_39, % 28.51/4.66 | all_83_40, all_83_41, all_83_42, all_83_43, all_83_44, all_83_45, % 28.51/4.66 | all_83_46, all_83_47, all_83_48, all_83_49, all_83_50, all_83_51, % 28.51/4.66 | all_83_52, all_83_53, all_83_54, all_83_55, all_83_56, all_83_57, % 28.51/4.66 | all_83_58, all_83_59, all_83_60, all_83_61, all_83_62, all_83_63, % 28.51/4.66 | all_83_64, all_83_65, all_83_66, all_83_67, all_83_68, all_83_69, % 28.51/4.66 | all_83_70, all_83_71, all_83_72, all_83_73, all_83_74, all_83_75, % 28.51/4.66 | all_83_76, all_83_77, all_83_78, all_83_79, all_83_80, all_83_81, % 28.51/4.66 | all_83_82, all_83_83, all_83_84, all_83_85, all_83_86, all_83_87, % 28.51/4.66 | all_83_88, all_83_89, all_83_90, all_83_91 gives: % 28.51/4.67 | (21) $lesseq(0, all_83_0) & $lesseq(all_83_89, all_83_87) & $lesseq(0, % 28.51/4.67 | all_83_89) & tb2t3(all_83_1) = all_83_83 & tb2t3(all_83_90) = % 28.51/4.67 | all_83_83 & t2tb2(all_83_4) = all_83_2 & tb2t1(all_83_78) = all_83_77 % 28.51/4.67 | & tb2t1(all_83_81) = all_83_80 & make3(int, 10, all_83_91) = all_83_90 % 28.51/4.67 | & data(int, all_83_90) = all_83_88 & length3(int, all_83_90) = % 28.51/4.67 | all_83_89 & dummy(int, all_83_90) = all_83_85 & mk_rarray1(int, % 28.51/4.67 | all_83_3, all_83_5, all_83_2) = all_83_1 & tb2t(all_83_85) = % 28.51/4.67 | all_83_84 & t2tb(all_83_6) = all_83_3 & t2tb(42) = all_83_79 & % 28.51/4.67 | t2tb(17) = all_83_82 & t2tb(10) = all_83_76 & t2tb(0) = all_83_91 & % 28.51/4.67 | elts(int, all_83_88) = all_83_86 & length2(int, all_83_2) = all_83_0 & % 28.51/4.67 | length2(int, all_83_88) = all_83_87 & set(int, int, all_83_86, % 28.51/4.67 | all_83_91, all_83_79) = all_83_78 & set(int, int, all_83_86, % 28.51/4.67 | all_83_91, all_83_82) = all_83_81 & rarray_int(all_83_83) & % 28.51/4.67 | array_int(all_83_4) & array_int(all_83_12) & array_int(all_83_24) & % 28.51/4.67 | array_int(all_83_32) & array_int(all_83_40) & array_int(all_83_52) & % 28.51/4.67 | array_int(all_83_59) & map_int_int(all_83_18) & map_int_int(all_83_46) % 28.51/4.67 | & map_int_int(all_83_68) & map_int_int(all_83_73) & % 28.51/4.67 | map_int_int(all_83_75) & map_int_int(all_83_77) & % 28.51/4.67 | map_int_int(all_83_80) & uni(all_83_1) & uni(all_83_2) & uni(all_83_3) % 28.51/4.67 | & uni(all_83_76) & uni(all_83_78) & uni(all_83_79) & uni(all_83_81) & % 28.51/4.67 | uni(all_83_82) & uni(all_83_85) & uni(all_83_86) & uni(all_83_88) & % 28.51/4.67 | uni(all_83_90) & uni(all_83_91) & ! [v0: int] : ! [v1: uni] : ( ~ % 28.51/4.67 | ($lesseq(1, $difference(all_83_87, v0))) | ~ ($lesseq(all_83_89, % 28.51/4.67 | v0)) | ~ (t2tb(v0) = v1) | ? [v2: uni] : (tb2t(v2) = all_83_84 % 28.51/4.67 | & get(int, int, all_83_86, v1) = v2 & uni(v2))) & ( ~ ($lesseq(1, % 28.51/4.67 | all_83_89)) | (all_83_8 = all_83_83 & all_83_15 = all_83_24 & % 28.51/4.67 | all_83_19 = all_83_87 & all_83_20 = all_83_83 & all_83_23 = % 28.51/4.67 | all_83_51 & all_83_25 = all_83_89 & all_83_26 = all_83_84 & % 28.51/4.67 | all_83_28 = all_83_83 & all_83_36 = all_83_83 & all_83_43 = % 28.51/4.67 | all_83_52 & all_83_47 = all_83_87 & all_83_48 = all_83_83 & % 28.51/4.67 | all_83_53 = all_83_89 & all_83_54 = all_83_84 & all_83_55 = % 28.51/4.67 | all_83_83 & all_83_67 = $product(2, all_83_89) & all_83_73 = % 28.51/4.67 | all_83_77 & all_83_75 = all_83_80 & $lesseq(0, all_83_7) & % 28.51/4.67 | $lesseq(0, all_83_27) & $lesseq(0, all_83_35) & $lesseq(0, % 28.51/4.67 | $difference(all_83_69, $product(2, all_83_89))) & % 28.51/4.67 | tb2t3(all_83_9) = all_83_83 & tb2t3(all_83_21) = all_83_83 & % 28.51/4.67 | tb2t3(all_83_29) = all_83_83 & tb2t3(all_83_37) = all_83_83 & % 28.51/4.67 | tb2t3(all_83_49) = all_83_83 & tb2t3(all_83_56) = all_83_83 & % 28.51/4.67 | tb2t2(all_83_16) = all_83_24 & tb2t2(all_83_44) = all_83_52 & % 28.51/4.67 | t2tb2(all_83_12) = all_83_10 & t2tb2(all_83_24) = all_83_22 & % 28.51/4.67 | t2tb2(all_83_32) = all_83_30 & t2tb2(all_83_40) = all_83_38 & % 28.51/4.67 | t2tb2(all_83_52) = all_83_50 & t2tb2(all_83_59) = all_83_57 & % 28.51/4.67 | t2tb1(all_83_18) = all_83_17 & t2tb1(all_83_46) = all_83_45 & % 28.51/4.67 | t2tb1(all_83_68) = all_83_66 & t2tb1(all_83_77) = all_83_72 & % 28.51/4.67 | t2tb1(all_83_80) = all_83_74 & mk_rarray1(int, all_83_11, % 28.51/4.67 | all_83_13, all_83_10) = all_83_9 & mk_rarray1(int, all_83_31, % 28.51/4.67 | all_83_33, all_83_30) = all_83_29 & mk_rarray1(int, all_83_39, % 28.51/4.67 | all_83_41, all_83_38) = all_83_37 & mk_rarray1(int, all_83_51, % 28.51/4.67 | all_83_89, all_83_22) = all_83_21 & mk_rarray1(int, all_83_51, % 28.51/4.67 | all_83_89, all_83_50) = all_83_49 & mk_rarray1(int, all_83_58, % 28.51/4.67 | all_83_60, all_83_57) = all_83_56 & tb2t(all_83_63) = all_83_62 % 28.51/4.67 | & tb2t(all_83_65) = all_83_64 & tb2t(all_83_71) = all_83_70 & % 28.51/4.67 | t2tb(all_83_14) = all_83_11 & t2tb(all_83_34) = all_83_31 & % 28.51/4.67 | t2tb(all_83_42) = all_83_39 & t2tb(all_83_61) = all_83_58 & % 28.51/4.67 | t2tb(all_83_84) = all_83_51 & length2(int, all_83_10) = all_83_7 & % 28.51/4.67 | length2(int, all_83_30) = all_83_27 & length2(int, all_83_38) = % 28.51/4.67 | all_83_35 & mk_array1(int, all_83_87, all_83_17) = all_83_16 & % 28.51/4.67 | mk_array1(int, all_83_87, all_83_45) = all_83_44 & get(int, int, % 28.51/4.67 | all_83_66, all_83_76) = all_83_63 & get(int, int, all_83_66, % 28.51/4.67 | all_83_91) = all_83_65 & get(int, int, all_83_72, all_83_91) = % 28.51/4.67 | all_83_71 & uni(all_83_9) & uni(all_83_10) & uni(all_83_11) & % 28.51/4.67 | uni(all_83_16) & uni(all_83_17) & uni(all_83_21) & uni(all_83_22) % 28.51/4.67 | & uni(all_83_29) & uni(all_83_30) & uni(all_83_31) & % 28.51/4.67 | uni(all_83_37) & uni(all_83_38) & uni(all_83_39) & uni(all_83_44) % 28.51/4.67 | & uni(all_83_45) & uni(all_83_49) & uni(all_83_50) & % 28.51/4.67 | uni(all_83_51) & uni(all_83_56) & uni(all_83_57) & uni(all_83_58) % 28.51/4.67 | & uni(all_83_63) & uni(all_83_65) & uni(all_83_66) & % 28.51/4.67 | uni(all_83_71) & uni(all_83_72) & uni(all_83_74) & ! [v0: int] : % 28.51/4.67 | ! [v1: uni] : ( ~ ($lesseq(1, $difference(all_83_69, v0))) | ~ % 28.51/4.67 | ($lesseq(0, $difference(v0, $product(2, all_83_89)))) | ~ % 28.51/4.67 | (t2tb(v0) = v1) | ? [v2: uni] : (tb2t(v2) = all_83_84 & % 28.51/4.67 | get(int, int, all_83_66, v1) = v2 & uni(v2))) & ! [v0: int] : % 28.51/4.67 | ! [v1: uni] : ( ~ ($lesseq(1, $difference(all_83_87, v0))) | ~ % 28.51/4.67 | ($lesseq(all_83_89, v0)) | ~ (t2tb(v0) = v1) | ? [v2: uni] : % 28.51/4.67 | (tb2t(v2) = all_83_84 & get(int, int, all_83_72, v1) = v2 & % 28.51/4.67 | uni(v2))) & ! [v0: int] : ! [v1: uni] : ( ~ ($lesseq(1, % 28.51/4.67 | $difference(all_83_87, v0))) | ~ ($lesseq(all_83_89, v0)) | % 28.51/4.67 | ~ (t2tb(v0) = v1) | ? [v2: uni] : (tb2t(v2) = all_83_84 & % 28.51/4.67 | get(int, int, all_83_74, v1) = v2 & uni(v2))) & ! [v0: int] : % 28.51/4.67 | ! [v1: uni] : ( ~ ($lesseq(1, $difference(all_83_87, v0))) | ~ % 28.51/4.67 | ($lesseq(all_83_89, v0)) | ~ (t2tb(v0) = v1) | ? [v2: uni] : % 28.51/4.67 | (tb2t(v2) = all_83_84 & get(int, int, all_83_86, v1) = v2 & % 28.51/4.67 | uni(v2))) & ! [v0: int] : ! [v1: uni] : ( ~ ($lesseq(1, % 28.51/4.67 | $difference($product(2, all_83_89), v0))) | ~ ($lesseq(0, % 28.51/4.67 | v0)) | ~ (t2tb($difference(v0, all_83_89)) = v1) | ? [v2: % 28.51/4.67 | uni] : ? [v3: uni] : ? [v4: int] : ? [v5: uni] : ? [v6: % 28.51/4.67 | int] : ? [v7: uni] : ? [v8: int] : (tb2t(v7) = v8 & tb2t(v5) % 28.51/4.67 | = v6 & tb2t(v3) = v4 & t2tb(v0) = v2 & get(int, int, % 28.51/4.67 | all_83_66, v2) = v3 & get(int, int, all_83_72, v1) = v7 & % 28.51/4.67 | get(int, int, all_83_74, v2) = v5 & uni(v7) & uni(v5) & % 28.51/4.67 | uni(v3) & uni(v2) & (v8 = v4 | ~ ($lesseq(all_83_89, v0))) & % 28.51/4.67 | (v6 = v4 | ~ ($lesseq(1, $difference(all_83_89, v0)))))) & ! % 28.51/4.67 | [v0: int] : ! [v1: uni] : ( ~ ($lesseq(1, $difference($product(2, % 28.51/4.67 | all_83_89), v0))) | ~ ($lesseq(0, v0)) | ~ (t2tb(v0) = % 28.51/4.67 | v1) | ? [v2: uni] : ? [v3: int] : ? [v4: uni] : ? [v5: % 28.51/4.67 | int] : ? [v6: uni] : ? [v7: uni] : ? [v8: int] : (tb2t(v7) % 28.51/4.67 | = v8 & tb2t(v4) = v5 & tb2t(v2) = v3 & t2tb($difference(v0, % 28.51/4.67 | all_83_89)) = v6 & get(int, int, all_83_66, v1) = v2 & % 28.51/4.67 | get(int, int, all_83_72, v6) = v7 & get(int, int, all_83_74, % 28.51/4.67 | v1) = v4 & uni(v7) & uni(v6) & uni(v4) & uni(v2) & (v8 = v3 % 28.51/4.67 | | ~ ($lesseq(all_83_89, v0))) & (v5 = v3 | ~ ($lesseq(1, % 28.51/4.67 | $difference(all_83_89, v0)))))) & ( ~ (all_83_62 = 42) | % 28.51/4.67 | ~ (all_83_64 = 17) | ~ (all_83_70 = 42) | ~ (all_83_89 = % 28.51/4.67 | 10)))) % 28.51/4.67 | % 28.51/4.67 | ALPHA: (21) implies: % 28.51/4.67 | (22) uni(all_83_91) % 28.51/4.67 | (23) uni(all_83_90) % 28.51/4.67 | (24) uni(all_83_88) % 28.51/4.67 | (25) uni(all_83_82) % 28.51/4.68 | (26) uni(all_83_81) % 28.51/4.68 | (27) uni(all_83_79) % 28.51/4.68 | (28) uni(all_83_78) % 28.51/4.68 | (29) uni(all_83_3) % 28.51/4.68 | (30) uni(all_83_2) % 28.51/4.68 | (31) uni(all_83_1) % 28.51/4.68 | (32) set(int, int, all_83_86, all_83_91, all_83_82) = all_83_81 % 28.51/4.68 | (33) set(int, int, all_83_86, all_83_91, all_83_79) = all_83_78 % 28.51/4.68 | (34) length2(int, all_83_88) = all_83_87 % 28.51/4.68 | (35) length2(int, all_83_2) = all_83_0 % 28.51/4.68 | (36) elts(int, all_83_88) = all_83_86 % 28.51/4.68 | (37) t2tb(0) = all_83_91 % 28.51/4.68 | (38) t2tb(10) = all_83_76 % 28.51/4.68 | (39) t2tb(17) = all_83_82 % 28.51/4.68 | (40) t2tb(42) = all_83_79 % 28.51/4.68 | (41) t2tb(all_83_6) = all_83_3 % 28.51/4.68 | (42) tb2t(all_83_85) = all_83_84 % 28.51/4.68 | (43) mk_rarray1(int, all_83_3, all_83_5, all_83_2) = all_83_1 % 28.51/4.68 | (44) dummy(int, all_83_90) = all_83_85 % 28.51/4.68 | (45) length3(int, all_83_90) = all_83_89 % 28.51/4.68 | (46) data(int, all_83_90) = all_83_88 % 28.51/4.68 | (47) make3(int, 10, all_83_91) = all_83_90 % 28.51/4.68 | (48) tb2t1(all_83_81) = all_83_80 % 28.51/4.68 | (49) tb2t1(all_83_78) = all_83_77 % 28.51/4.68 | (50) tb2t3(all_83_90) = all_83_83 % 28.51/4.68 | (51) tb2t3(all_83_1) = all_83_83 % 28.63/4.68 | (52) ~ ($lesseq(1, all_83_89)) | (all_83_8 = all_83_83 & all_83_15 = % 28.63/4.68 | all_83_24 & all_83_19 = all_83_87 & all_83_20 = all_83_83 & % 28.63/4.68 | all_83_23 = all_83_51 & all_83_25 = all_83_89 & all_83_26 = % 28.63/4.68 | all_83_84 & all_83_28 = all_83_83 & all_83_36 = all_83_83 & % 28.63/4.68 | all_83_43 = all_83_52 & all_83_47 = all_83_87 & all_83_48 = % 28.63/4.68 | all_83_83 & all_83_53 = all_83_89 & all_83_54 = all_83_84 & % 28.63/4.68 | all_83_55 = all_83_83 & all_83_67 = $product(2, all_83_89) & % 28.63/4.68 | all_83_73 = all_83_77 & all_83_75 = all_83_80 & $lesseq(0, all_83_7) % 28.63/4.68 | & $lesseq(0, all_83_27) & $lesseq(0, all_83_35) & $lesseq(0, % 28.63/4.68 | $difference(all_83_69, $product(2, all_83_89))) & tb2t3(all_83_9) % 28.63/4.68 | = all_83_83 & tb2t3(all_83_21) = all_83_83 & tb2t3(all_83_29) = % 28.63/4.68 | all_83_83 & tb2t3(all_83_37) = all_83_83 & tb2t3(all_83_49) = % 28.63/4.68 | all_83_83 & tb2t3(all_83_56) = all_83_83 & tb2t2(all_83_16) = % 28.63/4.68 | all_83_24 & tb2t2(all_83_44) = all_83_52 & t2tb2(all_83_12) = % 28.63/4.68 | all_83_10 & t2tb2(all_83_24) = all_83_22 & t2tb2(all_83_32) = % 28.63/4.68 | all_83_30 & t2tb2(all_83_40) = all_83_38 & t2tb2(all_83_52) = % 28.63/4.68 | all_83_50 & t2tb2(all_83_59) = all_83_57 & t2tb1(all_83_18) = % 28.63/4.68 | all_83_17 & t2tb1(all_83_46) = all_83_45 & t2tb1(all_83_68) = % 28.63/4.68 | all_83_66 & t2tb1(all_83_77) = all_83_72 & t2tb1(all_83_80) = % 28.63/4.68 | all_83_74 & mk_rarray1(int, all_83_11, all_83_13, all_83_10) = % 28.63/4.68 | all_83_9 & mk_rarray1(int, all_83_31, all_83_33, all_83_30) = % 28.63/4.68 | all_83_29 & mk_rarray1(int, all_83_39, all_83_41, all_83_38) = % 28.63/4.68 | all_83_37 & mk_rarray1(int, all_83_51, all_83_89, all_83_22) = % 28.63/4.68 | all_83_21 & mk_rarray1(int, all_83_51, all_83_89, all_83_50) = % 28.63/4.68 | all_83_49 & mk_rarray1(int, all_83_58, all_83_60, all_83_57) = % 28.63/4.68 | all_83_56 & tb2t(all_83_63) = all_83_62 & tb2t(all_83_65) = % 28.63/4.68 | all_83_64 & tb2t(all_83_71) = all_83_70 & t2tb(all_83_14) = % 28.63/4.68 | all_83_11 & t2tb(all_83_34) = all_83_31 & t2tb(all_83_42) = % 28.63/4.68 | all_83_39 & t2tb(all_83_61) = all_83_58 & t2tb(all_83_84) = % 28.63/4.68 | all_83_51 & length2(int, all_83_10) = all_83_7 & length2(int, % 28.63/4.68 | all_83_30) = all_83_27 & length2(int, all_83_38) = all_83_35 & % 28.63/4.68 | mk_array1(int, all_83_87, all_83_17) = all_83_16 & mk_array1(int, % 28.63/4.68 | all_83_87, all_83_45) = all_83_44 & get(int, int, all_83_66, % 28.63/4.68 | all_83_76) = all_83_63 & get(int, int, all_83_66, all_83_91) = % 28.63/4.68 | all_83_65 & get(int, int, all_83_72, all_83_91) = all_83_71 & % 28.63/4.68 | uni(all_83_9) & uni(all_83_10) & uni(all_83_11) & uni(all_83_16) & % 28.63/4.68 | uni(all_83_17) & uni(all_83_21) & uni(all_83_22) & uni(all_83_29) & % 28.63/4.68 | uni(all_83_30) & uni(all_83_31) & uni(all_83_37) & uni(all_83_38) & % 28.63/4.68 | uni(all_83_39) & uni(all_83_44) & uni(all_83_45) & uni(all_83_49) & % 28.63/4.68 | uni(all_83_50) & uni(all_83_51) & uni(all_83_56) & uni(all_83_57) & % 28.63/4.68 | uni(all_83_58) & uni(all_83_63) & uni(all_83_65) & uni(all_83_66) & % 28.63/4.68 | uni(all_83_71) & uni(all_83_72) & uni(all_83_74) & ! [v0: int] : ! % 28.63/4.68 | [v1: uni] : ( ~ ($lesseq(1, $difference(all_83_69, v0))) | ~ % 28.63/4.68 | ($lesseq(0, $difference(v0, $product(2, all_83_89)))) | ~ % 28.63/4.68 | (t2tb(v0) = v1) | ? [v2: uni] : (tb2t(v2) = all_83_84 & get(int, % 28.63/4.68 | int, all_83_66, v1) = v2 & uni(v2))) & ! [v0: int] : ! [v1: % 28.63/4.68 | uni] : ( ~ ($lesseq(1, $difference(all_83_87, v0))) | ~ % 28.63/4.68 | ($lesseq(all_83_89, v0)) | ~ (t2tb(v0) = v1) | ? [v2: uni] : % 28.63/4.68 | (tb2t(v2) = all_83_84 & get(int, int, all_83_72, v1) = v2 & % 28.63/4.68 | uni(v2))) & ! [v0: int] : ! [v1: uni] : ( ~ ($lesseq(1, % 28.63/4.68 | $difference(all_83_87, v0))) | ~ ($lesseq(all_83_89, v0)) | % 28.63/4.68 | ~ (t2tb(v0) = v1) | ? [v2: uni] : (tb2t(v2) = all_83_84 & % 28.63/4.68 | get(int, int, all_83_74, v1) = v2 & uni(v2))) & ! [v0: int] : % 28.63/4.68 | ! [v1: uni] : ( ~ ($lesseq(1, $difference(all_83_87, v0))) | ~ % 28.63/4.68 | ($lesseq(all_83_89, v0)) | ~ (t2tb(v0) = v1) | ? [v2: uni] : % 28.63/4.68 | (tb2t(v2) = all_83_84 & get(int, int, all_83_86, v1) = v2 & % 28.63/4.68 | uni(v2))) & ! [v0: int] : ! [v1: uni] : ( ~ ($lesseq(1, % 28.63/4.68 | $difference($product(2, all_83_89), v0))) | ~ ($lesseq(0, % 28.63/4.68 | v0)) | ~ (t2tb($difference(v0, all_83_89)) = v1) | ? [v2: % 28.63/4.68 | uni] : ? [v3: uni] : ? [v4: int] : ? [v5: uni] : ? [v6: int] % 28.63/4.68 | : ? [v7: uni] : ? [v8: int] : (tb2t(v7) = v8 & tb2t(v5) = v6 & % 28.63/4.68 | tb2t(v3) = v4 & t2tb(v0) = v2 & get(int, int, all_83_66, v2) = % 28.63/4.68 | v3 & get(int, int, all_83_72, v1) = v7 & get(int, int, % 28.63/4.68 | all_83_74, v2) = v5 & uni(v7) & uni(v5) & uni(v3) & uni(v2) & % 28.63/4.68 | (v8 = v4 | ~ ($lesseq(all_83_89, v0))) & (v6 = v4 | ~ % 28.63/4.68 | ($lesseq(1, $difference(all_83_89, v0)))))) & ! [v0: int] : % 28.63/4.68 | ! [v1: uni] : ( ~ ($lesseq(1, $difference($product(2, all_83_89), % 28.63/4.68 | v0))) | ~ ($lesseq(0, v0)) | ~ (t2tb(v0) = v1) | ? [v2: % 28.63/4.68 | uni] : ? [v3: int] : ? [v4: uni] : ? [v5: int] : ? [v6: uni] % 28.63/4.68 | : ? [v7: uni] : ? [v8: int] : (tb2t(v7) = v8 & tb2t(v4) = v5 & % 28.63/4.68 | tb2t(v2) = v3 & t2tb($difference(v0, all_83_89)) = v6 & get(int, % 28.63/4.68 | int, all_83_66, v1) = v2 & get(int, int, all_83_72, v6) = v7 & % 28.63/4.68 | get(int, int, all_83_74, v1) = v4 & uni(v7) & uni(v6) & uni(v4) % 28.63/4.68 | & uni(v2) & (v8 = v3 | ~ ($lesseq(all_83_89, v0))) & (v5 = v3 | % 28.63/4.68 | ~ ($lesseq(1, $difference(all_83_89, v0)))))) & ( ~ % 28.63/4.68 | (all_83_62 = 42) | ~ (all_83_64 = 17) | ~ (all_83_70 = 42) | ~ % 28.63/4.68 | (all_83_89 = 10))) % 28.63/4.68 | % 28.63/4.69 | GROUND_INST: instantiating (1) with int, all_83_88, all_83_87, simplifying % 28.63/4.69 | with (9), (24), (34) gives: % 28.63/4.69 | (53) ? [v0: uni] : (elts(int, all_83_88) = v0 & mk_array1(int, all_83_87, % 28.63/4.69 | v0) = all_83_88 & uni(v0)) % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (1) with int, all_83_2, all_83_0, simplifying with % 28.63/4.69 | (9), (30), (35) gives: % 28.63/4.69 | (54) ? [v0: uni] : (elts(int, all_83_2) = v0 & mk_array1(int, all_83_0, % 28.63/4.69 | v0) = all_83_2 & uni(v0)) % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (3) with int, all_83_88, 0, all_83_79, all_83_86, % 28.63/4.69 | all_83_91, all_83_78, simplifying with (9), (24), (27), (33), % 28.63/4.69 | (36), (37) gives: % 28.63/4.69 | (55) ? [v0: uni] : ? [v1: int] : (set2(int, all_83_88, 0, all_83_79) = v0 % 28.63/4.69 | & length2(int, all_83_88) = v1 & mk_array1(int, v1, all_83_78) = v0 % 28.63/4.69 | & uni(v0)) % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (3) with int, all_83_88, 0, all_83_82, all_83_86, % 28.63/4.69 | all_83_91, all_83_81, simplifying with (9), (24), (25), (32), % 28.63/4.69 | (36), (37) gives: % 28.63/4.69 | (56) ? [v0: uni] : ? [v1: int] : (set2(int, all_83_88, 0, all_83_82) = v0 % 28.63/4.69 | & length2(int, all_83_88) = v1 & mk_array1(int, v1, all_83_81) = v0 % 28.63/4.69 | & uni(v0)) % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (2) with 0, all_83_91, simplifying with (37) gives: % 28.63/4.69 | (57) sort1(int, all_83_91) = 0 % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (bridgeL) with 17, all_83_82, simplifying with (39) % 28.63/4.69 | gives: % 28.63/4.69 | (58) tb2t(all_83_82) = 17 % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (2) with 17, all_83_82, simplifying with (39) % 28.63/4.69 | gives: % 28.63/4.69 | (59) sort1(int, all_83_82) = 0 % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (bridgeL) with 42, all_83_79, simplifying with (40) % 28.63/4.69 | gives: % 28.63/4.69 | (60) tb2t(all_83_79) = 42 % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (2) with 42, all_83_79, simplifying with (40) % 28.63/4.69 | gives: % 28.63/4.69 | (61) sort1(int, all_83_79) = 0 % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (bridgeL) with all_83_6, all_83_3, simplifying with % 28.63/4.69 | (41) gives: % 28.63/4.69 | (62) tb2t(all_83_3) = all_83_6 % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (2) with all_83_6, all_83_3, simplifying with (41) % 28.63/4.69 | gives: % 28.63/4.69 | (63) sort1(int, all_83_3) = 0 % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (data_def1) with int, all_83_3, all_83_5, all_83_2, % 28.63/4.69 | all_83_1, simplifying with (9), (29), (30), (43) gives: % 28.63/4.69 | (64) data(int, all_83_1) = all_83_2 % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (length_def3) with int, all_83_3, all_83_5, % 28.63/4.69 | all_83_2, all_83_1, simplifying with (9), (29), (30), (43) gives: % 28.63/4.69 | (65) length3(int, all_83_1) = all_83_5 % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (dummy_def1) with int, all_83_3, all_83_5, % 28.63/4.69 | all_83_2, all_83_1, simplifying with (9), (29), (30), (43) gives: % 28.63/4.69 | (66) ? [v0: any] : ? [v1: uni] : (dummy(int, all_83_1) = v1 & sort1(int, % 28.63/4.69 | all_83_3) = v0 & uni(v1) & ( ~ (v0 = 0) | v1 = all_83_3)) % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (4) with int, all_83_90, all_83_85, simplifying % 28.63/4.69 | with (9), (23), (44) gives: % 28.63/4.69 | (67) ? [v0: int] : ? [v1: uni] : (data(int, all_83_90) = v1 & % 28.63/4.69 | length3(int, all_83_90) = v0 & mk_rarray1(int, all_83_85, v0, v1) = % 28.63/4.69 | all_83_90 & uni(v1)) % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (5) with int, all_83_90, all_83_89, simplifying % 28.63/4.69 | with (9), (23), (45) gives: % 28.63/4.69 | (68) ? [v0: uni] : ? [v1: uni] : (data(int, all_83_90) = v1 & dummy(int, % 28.63/4.69 | all_83_90) = v0 & mk_rarray1(int, v0, all_83_89, v1) = all_83_90 & % 28.63/4.69 | uni(v1) & uni(v0)) % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (6) with int, all_83_90, all_83_88, simplifying % 28.63/4.69 | with (9), (23), (46) gives: % 28.63/4.69 | (69) ? [v0: uni] : ? [v1: int] : (length3(int, all_83_90) = v1 & % 28.63/4.69 | dummy(int, all_83_90) = v0 & mk_rarray1(int, v0, v1, all_83_88) = % 28.63/4.69 | all_83_90 & uni(v0)) % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (8) with int, 10, all_83_91, all_83_90, simplifying % 28.63/4.69 | with (9), (22), (47) gives: % 28.63/4.69 | (70) ? [v0: uni] : (mk_rarray1(int, all_83_91, 10, v0) = all_83_90 & % 28.63/4.69 | make2(int, 10, all_83_91) = v0 & uni(v0) & uni(all_83_90)) % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (bridgeR1) with all_83_81, all_83_80, simplifying % 28.63/4.69 | with (26), (48) gives: % 28.63/4.69 | (71) t2tb1(all_83_80) = all_83_81 % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (bridgeR1) with all_83_78, all_83_77, simplifying % 28.63/4.69 | with (28), (49) gives: % 28.63/4.69 | (72) t2tb1(all_83_77) = all_83_78 % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (bridgeR3) with all_83_90, all_83_83, simplifying % 28.63/4.69 | with (23), (50) gives: % 28.63/4.69 | (73) t2tb3(all_83_83) = all_83_90 % 28.63/4.69 | % 28.63/4.69 | GROUND_INST: instantiating (bridgeR3) with all_83_1, all_83_83, simplifying % 28.63/4.69 | with (31), (51) gives: % 28.63/4.69 | (74) t2tb3(all_83_83) = all_83_1 % 28.63/4.69 | % 28.63/4.69 | DELTA: instantiating (54) with fresh symbol all_103_0 gives: % 28.63/4.70 | (75) elts(int, all_83_2) = all_103_0 & mk_array1(int, all_83_0, all_103_0) % 28.63/4.70 | = all_83_2 & uni(all_103_0) % 28.63/4.70 | % 28.63/4.70 | ALPHA: (75) implies: % 28.63/4.70 | (76) uni(all_103_0) % 28.63/4.70 | (77) elts(int, all_83_2) = all_103_0 % 28.63/4.70 | % 28.63/4.70 | DELTA: instantiating (53) with fresh symbol all_105_0 gives: % 28.63/4.70 | (78) elts(int, all_83_88) = all_105_0 & mk_array1(int, all_83_87, % 28.63/4.70 | all_105_0) = all_83_88 & uni(all_105_0) % 28.63/4.70 | % 28.63/4.70 | ALPHA: (78) implies: % 28.63/4.70 | (79) elts(int, all_83_88) = all_105_0 % 28.63/4.70 | % 28.63/4.70 | DELTA: instantiating (56) with fresh symbols all_113_0, all_113_1 gives: % 28.63/4.70 | (80) set2(int, all_83_88, 0, all_83_82) = all_113_1 & length2(int, % 28.63/4.70 | all_83_88) = all_113_0 & mk_array1(int, all_113_0, all_83_81) = % 28.63/4.70 | all_113_1 & uni(all_113_1) % 28.63/4.70 | % 28.63/4.70 | ALPHA: (80) implies: % 28.63/4.70 | (81) set2(int, all_83_88, 0, all_83_82) = all_113_1 % 28.63/4.70 | % 28.63/4.70 | DELTA: instantiating (55) with fresh symbols all_115_0, all_115_1 gives: % 28.63/4.70 | (82) set2(int, all_83_88, 0, all_83_79) = all_115_1 & length2(int, % 28.63/4.70 | all_83_88) = all_115_0 & mk_array1(int, all_115_0, all_83_78) = % 28.63/4.70 | all_115_1 & uni(all_115_1) % 28.63/4.70 | % 28.63/4.70 | ALPHA: (82) implies: % 28.63/4.70 | (83) set2(int, all_83_88, 0, all_83_79) = all_115_1 % 28.63/4.70 | % 28.63/4.70 | DELTA: instantiating (69) with fresh symbols all_117_0, all_117_1 gives: % 28.63/4.70 | (84) length3(int, all_83_90) = all_117_0 & dummy(int, all_83_90) = % 28.63/4.70 | all_117_1 & mk_rarray1(int, all_117_1, all_117_0, all_83_88) = % 28.63/4.70 | all_83_90 & uni(all_117_1) % 28.63/4.70 | % 28.63/4.70 | ALPHA: (84) implies: % 28.63/4.70 | (85) dummy(int, all_83_90) = all_117_1 % 28.63/4.70 | (86) length3(int, all_83_90) = all_117_0 % 28.63/4.70 | % 28.63/4.70 | DELTA: instantiating (67) with fresh symbols all_119_0, all_119_1 gives: % 28.63/4.70 | (87) data(int, all_83_90) = all_119_0 & length3(int, all_83_90) = all_119_1 % 28.63/4.70 | & mk_rarray1(int, all_83_85, all_119_1, all_119_0) = all_83_90 & % 28.63/4.70 | uni(all_119_0) % 28.63/4.70 | % 28.63/4.70 | ALPHA: (87) implies: % 28.63/4.70 | (88) length3(int, all_83_90) = all_119_1 % 28.63/4.70 | (89) data(int, all_83_90) = all_119_0 % 28.63/4.70 | % 28.63/4.70 | DELTA: instantiating (70) with fresh symbol all_121_0 gives: % 28.63/4.70 | (90) mk_rarray1(int, all_83_91, 10, all_121_0) = all_83_90 & make2(int, 10, % 28.63/4.70 | all_83_91) = all_121_0 & uni(all_121_0) & uni(all_83_90) % 28.63/4.70 | % 28.63/4.70 | ALPHA: (90) implies: % 28.63/4.70 | (91) uni(all_121_0) % 28.63/4.70 | (92) mk_rarray1(int, all_83_91, 10, all_121_0) = all_83_90 % 28.63/4.70 | % 28.63/4.70 | DELTA: instantiating (68) with fresh symbols all_123_0, all_123_1 gives: % 28.63/4.70 | (93) data(int, all_83_90) = all_123_0 & dummy(int, all_83_90) = all_123_1 & % 28.63/4.70 | mk_rarray1(int, all_123_1, all_83_89, all_123_0) = all_83_90 & % 28.63/4.70 | uni(all_123_0) & uni(all_123_1) % 28.63/4.70 | % 28.63/4.70 | ALPHA: (93) implies: % 28.63/4.70 | (94) dummy(int, all_83_90) = all_123_1 % 28.63/4.70 | (95) data(int, all_83_90) = all_123_0 % 28.63/4.70 | % 28.63/4.70 | DELTA: instantiating (66) with fresh symbols all_125_0, all_125_1 gives: % 28.63/4.70 | (96) dummy(int, all_83_1) = all_125_0 & sort1(int, all_83_3) = all_125_1 & % 28.63/4.70 | uni(all_125_0) & ( ~ (all_125_1 = 0) | all_125_0 = all_83_3) % 28.63/4.70 | % 28.63/4.70 | ALPHA: (96) implies: % 28.63/4.70 | (97) sort1(int, all_83_3) = all_125_1 % 28.63/4.70 | (98) dummy(int, all_83_1) = all_125_0 % 28.63/4.70 | (99) ~ (all_125_1 = 0) | all_125_0 = all_83_3 % 28.63/4.70 | % 28.63/4.70 | GROUND_INST: instantiating (15) with 0, all_125_1, all_83_3, int, simplifying % 28.63/4.70 | with (63), (97) gives: % 28.63/4.70 | (100) all_125_1 = 0 % 28.63/4.70 | % 28.63/4.70 | GROUND_INST: instantiating (16) with all_83_86, all_105_0, all_83_88, int, % 28.63/4.70 | simplifying with (36), (79) gives: % 28.63/4.70 | (101) all_105_0 = all_83_86 % 28.63/4.70 | % 28.63/4.70 | GROUND_INST: instantiating (17) with all_83_85, all_123_1, all_83_90, int, % 28.63/4.70 | simplifying with (44), (94) gives: % 28.63/4.70 | (102) all_123_1 = all_83_85 % 28.63/4.70 | % 28.63/4.70 | GROUND_INST: instantiating (17) with all_117_1, all_123_1, all_83_90, int, % 28.63/4.70 | simplifying with (85), (94) gives: % 28.63/4.70 | (103) all_123_1 = all_117_1 % 28.63/4.70 | % 28.63/4.70 | GROUND_INST: instantiating (18) with all_83_89, all_119_1, all_83_90, int, % 28.63/4.70 | simplifying with (45), (88) gives: % 28.63/4.70 | (104) all_119_1 = all_83_89 % 28.63/4.70 | % 28.63/4.70 | GROUND_INST: instantiating (18) with all_117_0, all_119_1, all_83_90, int, % 28.63/4.70 | simplifying with (86), (88) gives: % 28.63/4.70 | (105) all_119_1 = all_117_0 % 28.63/4.70 | % 28.63/4.70 | GROUND_INST: instantiating (19) with all_83_88, all_123_0, all_83_90, int, % 28.63/4.70 | simplifying with (46), (95) gives: % 28.63/4.70 | (106) all_123_0 = all_83_88 % 28.63/4.70 | % 28.63/4.70 | GROUND_INST: instantiating (19) with all_119_0, all_123_0, all_83_90, int, % 28.63/4.70 | simplifying with (89), (95) gives: % 28.63/4.70 | (107) all_123_0 = all_119_0 % 28.63/4.70 | % 28.63/4.70 | GROUND_INST: instantiating (14) with all_83_90, all_83_1, all_83_83, % 28.63/4.70 | simplifying with (73), (74) gives: % 28.63/4.70 | (108) all_83_1 = all_83_90 % 28.63/4.70 | % 28.63/4.70 | COMBINE_EQS: (106), (107) imply: % 28.63/4.70 | (109) all_119_0 = all_83_88 % 28.63/4.70 | % 28.63/4.70 | SIMP: (109) implies: % 28.63/4.70 | (110) all_119_0 = all_83_88 % 28.63/4.70 | % 28.63/4.70 | COMBINE_EQS: (102), (103) imply: % 28.63/4.70 | (111) all_117_1 = all_83_85 % 28.63/4.70 | % 28.63/4.70 | SIMP: (111) implies: % 28.63/4.70 | (112) all_117_1 = all_83_85 % 28.63/4.70 | % 28.63/4.70 | COMBINE_EQS: (104), (105) imply: % 28.63/4.70 | (113) all_117_0 = all_83_89 % 28.63/4.70 | % 28.63/4.70 | SIMP: (113) implies: % 28.63/4.70 | (114) all_117_0 = all_83_89 % 28.63/4.70 | % 28.63/4.70 | REDUCE: (64), (108) imply: % 28.63/4.70 | (115) data(int, all_83_90) = all_83_2 % 28.63/4.70 | % 28.63/4.70 | REDUCE: (65), (108) imply: % 28.63/4.70 | (116) length3(int, all_83_90) = all_83_5 % 28.63/4.70 | % 28.63/4.70 | REDUCE: (98), (108) imply: % 28.63/4.70 | (117) dummy(int, all_83_90) = all_125_0 % 28.63/4.70 | % 28.63/4.70 | BETA: splitting (99) gives: % 28.63/4.70 | % 28.63/4.70 | Case 1: % 28.63/4.70 | | % 28.63/4.70 | | (118) ~ (all_125_1 = 0) % 28.63/4.70 | | % 28.63/4.71 | | REDUCE: (100), (118) imply: % 28.63/4.71 | | (119) $false % 28.63/4.71 | | % 28.63/4.71 | | CLOSE: (119) is inconsistent. % 28.63/4.71 | | % 28.63/4.71 | Case 2: % 28.63/4.71 | | % 28.63/4.71 | | (120) all_125_0 = all_83_3 % 28.63/4.71 | | % 28.63/4.71 | | REDUCE: (117), (120) imply: % 28.63/4.71 | | (121) dummy(int, all_83_90) = all_83_3 % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (17) with all_83_85, all_83_3, all_83_90, int, % 28.63/4.71 | | simplifying with (44), (121) gives: % 28.63/4.71 | | (122) all_83_3 = all_83_85 % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (18) with all_83_89, all_83_5, all_83_90, int, % 28.63/4.71 | | simplifying with (45), (116) gives: % 28.63/4.71 | | (123) all_83_5 = all_83_89 % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (19) with all_83_88, all_83_2, all_83_90, int, % 28.63/4.71 | | simplifying with (46), (115) gives: % 28.63/4.71 | | (124) all_83_2 = all_83_88 % 28.63/4.71 | | % 28.63/4.71 | | REDUCE: (62), (122) imply: % 28.63/4.71 | | (125) tb2t(all_83_85) = all_83_6 % 28.63/4.71 | | % 28.63/4.71 | | REDUCE: (41), (122) imply: % 28.63/4.71 | | (126) t2tb(all_83_6) = all_83_85 % 28.63/4.71 | | % 28.63/4.71 | | REDUCE: (77), (124) imply: % 28.63/4.71 | | (127) elts(int, all_83_88) = all_103_0 % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (16) with all_83_86, all_103_0, all_83_88, int, % 28.63/4.71 | | simplifying with (36), (127) gives: % 28.63/4.71 | | (128) all_103_0 = all_83_86 % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (12) with all_83_84, all_83_6, all_83_85, % 28.63/4.71 | | simplifying with (42), (125) gives: % 28.63/4.71 | | (129) all_83_6 = all_83_84 % 28.63/4.71 | | % 28.63/4.71 | | REDUCE: (126), (129) imply: % 28.63/4.71 | | (130) t2tb(all_83_84) = all_83_85 % 28.63/4.71 | | % 28.63/4.71 | | REDUCE: (76), (128) imply: % 28.63/4.71 | | (131) uni(all_83_86) % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (7) with int, all_83_90, 0, all_83_82, all_83_88, % 28.63/4.71 | | all_113_1, simplifying with (9), (23), (25), (46), (81) gives: % 28.63/4.71 | | (132) ? [v0: uni] : ? [v1: uni] : ? [v2: int] : (mixfix_lblsmnrb1(int, % 28.63/4.71 | | all_83_90, 0, all_83_82) = v0 & length3(int, all_83_90) = v2 & % 28.63/4.71 | | dummy(int, all_83_90) = v1 & mk_rarray1(int, v1, v2, all_113_1) = % 28.63/4.71 | | v0 & uni(v1) & uni(v0)) % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (7) with int, all_83_90, 0, all_83_79, all_83_88, % 28.63/4.71 | | all_115_1, simplifying with (9), (23), (27), (46), (83) gives: % 28.63/4.71 | | (133) ? [v0: uni] : ? [v1: uni] : ? [v2: int] : (mixfix_lblsmnrb1(int, % 28.63/4.71 | | all_83_90, 0, all_83_79) = v0 & length3(int, all_83_90) = v2 & % 28.63/4.71 | | dummy(int, all_83_90) = v1 & mk_rarray1(int, v1, v2, all_115_1) = % 28.63/4.71 | | v0 & uni(v1) & uni(v0)) % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (length_def3) with int, all_83_91, 10, all_121_0, % 28.63/4.71 | | all_83_90, simplifying with (9), (22), (91), (92) gives: % 28.63/4.71 | | (134) length3(int, all_83_90) = 10 % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (dummy_def1) with int, all_83_91, 10, all_121_0, % 28.63/4.71 | | all_83_90, simplifying with (9), (22), (91), (92) gives: % 28.63/4.71 | | (135) ? [v0: any] : ? [v1: uni] : (dummy(int, all_83_90) = v1 & % 28.63/4.71 | | sort1(int, all_83_91) = v0 & uni(v1) & ( ~ (v0 = 0) | v1 = % 28.63/4.71 | | all_83_91)) % 28.63/4.71 | | % 28.63/4.71 | | DELTA: instantiating (135) with fresh symbols all_163_0, all_163_1 gives: % 28.63/4.71 | | (136) dummy(int, all_83_90) = all_163_0 & sort1(int, all_83_91) = % 28.63/4.71 | | all_163_1 & uni(all_163_0) & ( ~ (all_163_1 = 0) | all_163_0 = % 28.63/4.71 | | all_83_91) % 28.63/4.71 | | % 28.63/4.71 | | ALPHA: (136) implies: % 28.63/4.71 | | (137) sort1(int, all_83_91) = all_163_1 % 28.63/4.71 | | (138) dummy(int, all_83_90) = all_163_0 % 28.63/4.71 | | (139) ~ (all_163_1 = 0) | all_163_0 = all_83_91 % 28.63/4.71 | | % 28.63/4.71 | | DELTA: instantiating (133) with fresh symbols all_165_0, all_165_1, % 28.63/4.71 | | all_165_2 gives: % 28.63/4.71 | | (140) mixfix_lblsmnrb1(int, all_83_90, 0, all_83_79) = all_165_2 & % 28.63/4.71 | | length3(int, all_83_90) = all_165_0 & dummy(int, all_83_90) = % 28.63/4.71 | | all_165_1 & mk_rarray1(int, all_165_1, all_165_0, all_115_1) = % 28.63/4.71 | | all_165_2 & uni(all_165_1) & uni(all_165_2) % 28.63/4.71 | | % 28.63/4.71 | | ALPHA: (140) implies: % 28.63/4.71 | | (141) dummy(int, all_83_90) = all_165_1 % 28.63/4.71 | | (142) length3(int, all_83_90) = all_165_0 % 28.63/4.71 | | % 28.63/4.71 | | DELTA: instantiating (132) with fresh symbols all_167_0, all_167_1, % 28.63/4.71 | | all_167_2 gives: % 28.63/4.71 | | (143) mixfix_lblsmnrb1(int, all_83_90, 0, all_83_82) = all_167_2 & % 28.63/4.71 | | length3(int, all_83_90) = all_167_0 & dummy(int, all_83_90) = % 28.63/4.71 | | all_167_1 & mk_rarray1(int, all_167_1, all_167_0, all_113_1) = % 28.63/4.71 | | all_167_2 & uni(all_167_1) & uni(all_167_2) % 28.63/4.71 | | % 28.63/4.71 | | ALPHA: (143) implies: % 28.63/4.71 | | (144) dummy(int, all_83_90) = all_167_1 % 28.63/4.71 | | (145) length3(int, all_83_90) = all_167_0 % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (15) with 0, all_163_1, all_83_91, int, % 28.63/4.71 | | simplifying with (57), (137) gives: % 28.63/4.71 | | (146) all_163_1 = 0 % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (17) with all_163_0, all_165_1, all_83_90, int, % 28.63/4.71 | | simplifying with (138), (141) gives: % 28.63/4.71 | | (147) all_165_1 = all_163_0 % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (17) with all_83_85, all_167_1, all_83_90, int, % 28.63/4.71 | | simplifying with (44), (144) gives: % 28.63/4.71 | | (148) all_167_1 = all_83_85 % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (17) with all_165_1, all_167_1, all_83_90, int, % 28.63/4.71 | | simplifying with (141), (144) gives: % 28.63/4.71 | | (149) all_167_1 = all_165_1 % 28.63/4.71 | | % 28.63/4.71 | | GROUND_INST: instantiating (18) with all_83_89, all_165_0, all_83_90, int, % 28.63/4.71 | | simplifying with (45), (142) gives: % 28.63/4.71 | | (150) all_165_0 = all_83_89 % 28.63/4.71 | | % 28.63/4.72 | | GROUND_INST: instantiating (18) with all_165_0, all_167_0, all_83_90, int, % 28.63/4.72 | | simplifying with (142), (145) gives: % 28.63/4.72 | | (151) all_167_0 = all_165_0 % 28.63/4.72 | | % 28.63/4.72 | | GROUND_INST: instantiating (18) with 10, all_167_0, all_83_90, int, % 28.63/4.72 | | simplifying with (134), (145) gives: % 28.63/4.72 | | (152) all_167_0 = 10 % 28.63/4.72 | | % 28.63/4.72 | | COMBINE_EQS: (151), (152) imply: % 28.63/4.72 | | (153) all_165_0 = 10 % 28.63/4.72 | | % 28.63/4.72 | | SIMP: (153) implies: % 28.63/4.72 | | (154) all_165_0 = 10 % 28.63/4.72 | | % 28.63/4.72 | | COMBINE_EQS: (148), (149) imply: % 28.63/4.72 | | (155) all_165_1 = all_83_85 % 28.63/4.72 | | % 28.63/4.72 | | SIMP: (155) implies: % 28.63/4.72 | | (156) all_165_1 = all_83_85 % 28.63/4.72 | | % 28.63/4.72 | | COMBINE_EQS: (150), (154) imply: % 28.63/4.72 | | (157) all_83_89 = 10 % 28.63/4.72 | | % 28.63/4.72 | | SIMP: (157) implies: % 28.63/4.72 | | (158) all_83_89 = 10 % 28.63/4.72 | | % 28.63/4.72 | | COMBINE_EQS: (147), (156) imply: % 28.63/4.72 | | (159) all_163_0 = all_83_85 % 28.63/4.72 | | % 28.63/4.72 | | SIMP: (159) implies: % 28.63/4.72 | | (160) all_163_0 = all_83_85 % 28.63/4.72 | | % 28.63/4.72 | | BETA: splitting (139) gives: % 28.63/4.72 | | % 28.63/4.72 | | Case 1: % 28.63/4.72 | | | % 28.63/4.72 | | | (161) ~ (all_163_1 = 0) % 28.63/4.72 | | | % 28.63/4.72 | | | REDUCE: (146), (161) imply: % 28.63/4.72 | | | (162) $false % 28.63/4.72 | | | % 28.63/4.72 | | | CLOSE: (162) is inconsistent. % 28.63/4.72 | | | % 28.63/4.72 | | Case 2: % 28.63/4.72 | | | % 28.63/4.72 | | | (163) all_163_0 = all_83_91 % 28.63/4.72 | | | % 28.63/4.72 | | | COMBINE_EQS: (160), (163) imply: % 28.63/4.72 | | | (164) all_83_85 = all_83_91 % 28.63/4.72 | | | % 28.63/4.72 | | | SIMP: (164) implies: % 28.63/4.72 | | | (165) all_83_85 = all_83_91 % 28.63/4.72 | | | % 28.63/4.72 | | | REDUCE: (130), (165) imply: % 28.63/4.72 | | | (166) t2tb(all_83_84) = all_83_91 % 28.63/4.72 | | | % 28.63/4.72 | | | BETA: splitting (52) gives: % 28.63/4.72 | | | % 28.63/4.72 | | | Case 1: % 28.63/4.72 | | | | % 28.63/4.72 | | | | (167) $lesseq(all_83_89, 0) % 28.63/4.72 | | | | % 28.63/4.72 | | | | REDUCE: (158), (167) imply: % 28.63/4.72 | | | | (168) $false % 28.63/4.72 | | | | % 28.63/4.72 | | | | CLOSE: (168) is inconsistent. % 28.63/4.72 | | | | % 28.63/4.72 | | | Case 2: % 28.63/4.72 | | | | % 28.80/4.72 | | | | (169) all_83_8 = all_83_83 & all_83_15 = all_83_24 & all_83_19 = % 28.80/4.72 | | | | all_83_87 & all_83_20 = all_83_83 & all_83_23 = all_83_51 & % 28.80/4.72 | | | | all_83_25 = all_83_89 & all_83_26 = all_83_84 & all_83_28 = % 28.80/4.72 | | | | all_83_83 & all_83_36 = all_83_83 & all_83_43 = all_83_52 & % 28.80/4.72 | | | | all_83_47 = all_83_87 & all_83_48 = all_83_83 & all_83_53 = % 28.80/4.72 | | | | all_83_89 & all_83_54 = all_83_84 & all_83_55 = all_83_83 & % 28.80/4.72 | | | | all_83_67 = $product(2, all_83_89) & all_83_73 = all_83_77 & % 28.80/4.72 | | | | all_83_75 = all_83_80 & $lesseq(0, all_83_7) & $lesseq(0, % 28.80/4.72 | | | | all_83_27) & $lesseq(0, all_83_35) & $lesseq(0, % 28.80/4.72 | | | | $difference(all_83_69, $product(2, all_83_89))) & % 28.80/4.72 | | | | tb2t3(all_83_9) = all_83_83 & tb2t3(all_83_21) = all_83_83 & % 28.80/4.72 | | | | tb2t3(all_83_29) = all_83_83 & tb2t3(all_83_37) = all_83_83 & % 28.80/4.72 | | | | tb2t3(all_83_49) = all_83_83 & tb2t3(all_83_56) = all_83_83 & % 28.80/4.72 | | | | tb2t2(all_83_16) = all_83_24 & tb2t2(all_83_44) = all_83_52 & % 28.80/4.72 | | | | t2tb2(all_83_12) = all_83_10 & t2tb2(all_83_24) = all_83_22 & % 28.80/4.72 | | | | t2tb2(all_83_32) = all_83_30 & t2tb2(all_83_40) = all_83_38 & % 28.80/4.72 | | | | t2tb2(all_83_52) = all_83_50 & t2tb2(all_83_59) = all_83_57 & % 28.80/4.72 | | | | t2tb1(all_83_18) = all_83_17 & t2tb1(all_83_46) = all_83_45 & % 28.80/4.72 | | | | t2tb1(all_83_68) = all_83_66 & t2tb1(all_83_77) = all_83_72 & % 28.80/4.72 | | | | t2tb1(all_83_80) = all_83_74 & mk_rarray1(int, all_83_11, % 28.80/4.72 | | | | all_83_13, all_83_10) = all_83_9 & mk_rarray1(int, all_83_31, % 28.80/4.72 | | | | all_83_33, all_83_30) = all_83_29 & mk_rarray1(int, % 28.80/4.72 | | | | all_83_39, all_83_41, all_83_38) = all_83_37 & % 28.80/4.72 | | | | mk_rarray1(int, all_83_51, all_83_89, all_83_22) = all_83_21 & % 28.80/4.72 | | | | mk_rarray1(int, all_83_51, all_83_89, all_83_50) = all_83_49 & % 28.80/4.72 | | | | mk_rarray1(int, all_83_58, all_83_60, all_83_57) = all_83_56 & % 28.80/4.72 | | | | tb2t(all_83_63) = all_83_62 & tb2t(all_83_65) = all_83_64 & % 28.80/4.72 | | | | tb2t(all_83_71) = all_83_70 & t2tb(all_83_14) = all_83_11 & % 28.80/4.72 | | | | t2tb(all_83_34) = all_83_31 & t2tb(all_83_42) = all_83_39 & % 28.80/4.72 | | | | t2tb(all_83_61) = all_83_58 & t2tb(all_83_84) = all_83_51 & % 28.80/4.72 | | | | length2(int, all_83_10) = all_83_7 & length2(int, all_83_30) = % 28.80/4.72 | | | | all_83_27 & length2(int, all_83_38) = all_83_35 & % 28.80/4.72 | | | | mk_array1(int, all_83_87, all_83_17) = all_83_16 & % 28.80/4.72 | | | | mk_array1(int, all_83_87, all_83_45) = all_83_44 & get(int, % 28.80/4.72 | | | | int, all_83_66, all_83_76) = all_83_63 & get(int, int, % 28.80/4.72 | | | | all_83_66, all_83_91) = all_83_65 & get(int, int, all_83_72, % 28.80/4.72 | | | | all_83_91) = all_83_71 & uni(all_83_9) & uni(all_83_10) & % 28.80/4.72 | | | | uni(all_83_11) & uni(all_83_16) & uni(all_83_17) & % 28.80/4.72 | | | | uni(all_83_21) & uni(all_83_22) & uni(all_83_29) & % 28.80/4.72 | | | | uni(all_83_30) & uni(all_83_31) & uni(all_83_37) & % 28.80/4.72 | | | | uni(all_83_38) & uni(all_83_39) & uni(all_83_44) & % 28.80/4.72 | | | | uni(all_83_45) & uni(all_83_49) & uni(all_83_50) & % 28.80/4.72 | | | | uni(all_83_51) & uni(all_83_56) & uni(all_83_57) & % 28.80/4.72 | | | | uni(all_83_58) & uni(all_83_63) & uni(all_83_65) & % 28.80/4.72 | | | | uni(all_83_66) & uni(all_83_71) & uni(all_83_72) & % 28.80/4.72 | | | | uni(all_83_74) & ! [v0: int] : ! [v1: uni] : ( ~ ($lesseq(1, % 28.80/4.72 | | | | $difference(all_83_69, v0))) | ~ ($lesseq(0, % 28.80/4.72 | | | | $difference(v0, $product(2, all_83_89)))) | ~ (t2tb(v0) % 28.80/4.72 | | | | = v1) | ? [v2: uni] : (tb2t(v2) = all_83_84 & get(int, % 28.80/4.72 | | | | int, all_83_66, v1) = v2 & uni(v2))) & ! [v0: int] : ! % 28.80/4.72 | | | | [v1: uni] : ( ~ ($lesseq(1, $difference(all_83_87, v0))) | ~ % 28.80/4.72 | | | | ($lesseq(all_83_89, v0)) | ~ (t2tb(v0) = v1) | ? [v2: uni] % 28.80/4.72 | | | | : (tb2t(v2) = all_83_84 & get(int, int, all_83_72, v1) = v2 & % 28.80/4.72 | | | | uni(v2))) & ! [v0: int] : ! [v1: uni] : ( ~ ($lesseq(1, % 28.80/4.72 | | | | $difference(all_83_87, v0))) | ~ ($lesseq(all_83_89, % 28.80/4.72 | | | | v0)) | ~ (t2tb(v0) = v1) | ? [v2: uni] : (tb2t(v2) = % 28.80/4.72 | | | | all_83_84 & get(int, int, all_83_74, v1) = v2 & uni(v2))) & % 28.80/4.72 | | | | ! [v0: int] : ! [v1: uni] : ( ~ ($lesseq(1, % 28.80/4.72 | | | | $difference(all_83_87, v0))) | ~ ($lesseq(all_83_89, % 28.80/4.72 | | | | v0)) | ~ (t2tb(v0) = v1) | ? [v2: uni] : (tb2t(v2) = % 28.80/4.72 | | | | all_83_84 & get(int, int, all_83_86, v1) = v2 & uni(v2))) & % 28.80/4.72 | | | | ! [v0: int] : ! [v1: uni] : ( ~ ($lesseq(1, % 28.80/4.72 | | | | $difference($product(2, all_83_89), v0))) | ~ % 28.80/4.72 | | | | ($lesseq(0, v0)) | ~ (t2tb($difference(v0, all_83_89)) = v1) % 28.80/4.72 | | | | | ? [v2: uni] : ? [v3: uni] : ? [v4: int] : ? [v5: uni] : % 28.80/4.72 | | | | ? [v6: int] : ? [v7: uni] : ? [v8: int] : (tb2t(v7) = v8 & % 28.80/4.72 | | | | tb2t(v5) = v6 & tb2t(v3) = v4 & t2tb(v0) = v2 & get(int, % 28.80/4.72 | | | | int, all_83_66, v2) = v3 & get(int, int, all_83_72, v1) = % 28.80/4.72 | | | | v7 & get(int, int, all_83_74, v2) = v5 & uni(v7) & uni(v5) % 28.80/4.72 | | | | & uni(v3) & uni(v2) & (v8 = v4 | ~ ($lesseq(all_83_89, % 28.80/4.72 | | | | v0))) & (v6 = v4 | ~ ($lesseq(1, % 28.80/4.72 | | | | $difference(all_83_89, v0)))))) & ! [v0: int] : ! % 28.80/4.72 | | | | [v1: uni] : ( ~ ($lesseq(1, $difference($product(2, all_83_89), % 28.80/4.72 | | | | v0))) | ~ ($lesseq(0, v0)) | ~ (t2tb(v0) = v1) | ? % 28.80/4.72 | | | | [v2: uni] : ? [v3: int] : ? [v4: uni] : ? [v5: int] : ? % 28.80/4.72 | | | | [v6: uni] : ? [v7: uni] : ? [v8: int] : (tb2t(v7) = v8 & % 28.80/4.72 | | | | tb2t(v4) = v5 & tb2t(v2) = v3 & t2tb($difference(v0, % 28.80/4.72 | | | | all_83_89)) = v6 & get(int, int, all_83_66, v1) = v2 & % 28.80/4.72 | | | | get(int, int, all_83_72, v6) = v7 & get(int, int, % 28.80/4.72 | | | | all_83_74, v1) = v4 & uni(v7) & uni(v6) & uni(v4) & % 28.80/4.72 | | | | uni(v2) & (v8 = v3 | ~ ($lesseq(all_83_89, v0))) & (v5 = % 28.80/4.72 | | | | v3 | ~ ($lesseq(1, $difference(all_83_89, v0)))))) & ( ~ % 28.80/4.72 | | | | (all_83_62 = 42) | ~ (all_83_64 = 17) | ~ (all_83_70 = 42) % 28.80/4.72 | | | | | ~ (all_83_89 = 10)) % 28.80/4.72 | | | | % 28.80/4.72 | | | | ALPHA: (169) implies: % 28.80/4.73 | | | | (170) uni(all_83_51) % 28.80/4.73 | | | | (171) get(int, int, all_83_72, all_83_91) = all_83_71 % 28.80/4.73 | | | | (172) get(int, int, all_83_66, all_83_91) = all_83_65 % 28.80/4.73 | | | | (173) get(int, int, all_83_66, all_83_76) = all_83_63 % 28.80/4.73 | | | | (174) t2tb(all_83_84) = all_83_51 % 28.80/4.73 | | | | (175) tb2t(all_83_71) = all_83_70 % 28.80/4.73 | | | | (176) tb2t(all_83_65) = all_83_64 % 28.80/4.73 | | | | (177) tb2t(all_83_63) = all_83_62 % 28.80/4.73 | | | | (178) t2tb1(all_83_80) = all_83_74 % 28.80/4.73 | | | | (179) t2tb1(all_83_77) = all_83_72 % 28.80/4.73 | | | | (180) ~ (all_83_62 = 42) | ~ (all_83_64 = 17) | ~ (all_83_70 = 42) % 28.80/4.73 | | | | | ~ (all_83_89 = 10) % 28.80/4.73 | | | | (181) ! [v0: int] : ! [v1: uni] : ( ~ ($lesseq(1, % 28.80/4.73 | | | | $difference($product(2, all_83_89), v0))) | ~ % 28.80/4.73 | | | | ($lesseq(0, v0)) | ~ (t2tb(v0) = v1) | ? [v2: uni] : ? % 28.80/4.73 | | | | [v3: int] : ? [v4: uni] : ? [v5: int] : ? [v6: uni] : ? % 28.80/4.73 | | | | [v7: uni] : ? [v8: int] : (tb2t(v7) = v8 & tb2t(v4) = v5 & % 28.80/4.73 | | | | tb2t(v2) = v3 & t2tb($difference(v0, all_83_89)) = v6 & % 28.80/4.73 | | | | get(int, int, all_83_66, v1) = v2 & get(int, int, % 28.80/4.73 | | | | all_83_72, v6) = v7 & get(int, int, all_83_74, v1) = v4 & % 28.80/4.73 | | | | uni(v7) & uni(v6) & uni(v4) & uni(v2) & (v8 = v3 | ~ % 28.80/4.73 | | | | ($lesseq(all_83_89, v0))) & (v5 = v3 | ~ ($lesseq(1, % 28.80/4.73 | | | | $difference(all_83_89, v0)))))) % 28.80/4.73 | | | | (182) ! [v0: int] : ! [v1: uni] : ( ~ ($lesseq(1, % 28.80/4.73 | | | | $difference($product(2, all_83_89), v0))) | ~ % 28.80/4.73 | | | | ($lesseq(0, v0)) | ~ (t2tb($difference(v0, all_83_89)) = v1) % 28.80/4.73 | | | | | ? [v2: uni] : ? [v3: uni] : ? [v4: int] : ? [v5: uni] : % 28.80/4.73 | | | | ? [v6: int] : ? [v7: uni] : ? [v8: int] : (tb2t(v7) = v8 & % 28.80/4.73 | | | | tb2t(v5) = v6 & tb2t(v3) = v4 & t2tb(v0) = v2 & get(int, % 28.80/4.73 | | | | int, all_83_66, v2) = v3 & get(int, int, all_83_72, v1) = % 28.80/4.73 | | | | v7 & get(int, int, all_83_74, v2) = v5 & uni(v7) & uni(v5) % 28.80/4.73 | | | | & uni(v3) & uni(v2) & (v8 = v4 | ~ ($lesseq(all_83_89, % 28.80/4.73 | | | | v0))) & (v6 = v4 | ~ ($lesseq(1, % 28.80/4.73 | | | | $difference(all_83_89, v0)))))) % 28.80/4.73 | | | | % 28.80/4.73 | | | | GROUND_INST: instantiating (182) with all_83_89, all_83_91, simplifying % 28.80/4.73 | | | | with (37) gives: % 28.80/4.73 | | | | (183) ~ ($lesseq(1, all_83_89)) | ? [v0: uni] : ? [v1: uni] : ? % 28.80/4.73 | | | | [v2: int] : ? [v3: uni] : ? [v4: int] : ? [v5: uni] : % 28.80/4.73 | | | | (tb2t(v5) = v2 & tb2t(v3) = v4 & tb2t(v1) = v2 & % 28.80/4.73 | | | | t2tb(all_83_89) = v0 & get(int, int, all_83_66, v0) = v1 & % 28.80/4.73 | | | | get(int, int, all_83_72, all_83_91) = v5 & get(int, int, % 28.80/4.73 | | | | all_83_74, v0) = v3 & uni(v5) & uni(v3) & uni(v1) & % 28.80/4.73 | | | | uni(v0)) % 28.80/4.73 | | | | % 28.80/4.73 | | | | GROUND_INST: instantiating (181) with 0, all_83_91, simplifying with % 28.80/4.73 | | | | (37) gives: % 28.80/4.73 | | | | (184) ~ ($lesseq(1, all_83_89)) | ? [v0: uni] : ? [v1: int] : ? % 28.80/4.73 | | | | [v2: uni] : ? [v3: uni] : ? [v4: uni] : ? [v5: int] : % 28.80/4.73 | | | | (tb2t(v4) = v5 & tb2t(v2) = v1 & tb2t(v0) = v1 & % 28.80/4.73 | | | | t2tb($product(-1, all_83_89)) = v3 & get(int, int, all_83_66, % 28.80/4.73 | | | | all_83_91) = v0 & get(int, int, all_83_72, v3) = v4 & % 28.80/4.73 | | | | get(int, int, all_83_74, all_83_91) = v2 & uni(v4) & uni(v3) % 28.80/4.73 | | | | & uni(v2) & uni(v0)) % 28.80/4.73 | | | | % 28.80/4.73 | | | | GROUND_INST: instantiating (181) with 10, all_83_76, simplifying with % 28.80/4.73 | | | | (38) gives: % 28.80/4.73 | | | | (185) ~ ($lesseq(6, all_83_89)) | ? [v0: uni] : ? [v1: int] : ? % 28.80/4.73 | | | | [v2: uni] : ? [v3: int] : ? [v4: uni] : ? [v5: uni] : ? % 28.80/4.73 | | | | [v6: int] : (tb2t(v5) = v6 & tb2t(v2) = v3 & tb2t(v0) = v1 & % 28.80/4.73 | | | | t2tb($difference(10, all_83_89)) = v4 & get(int, int, % 28.80/4.73 | | | | all_83_66, all_83_76) = v0 & get(int, int, all_83_72, v4) = % 28.80/4.73 | | | | v5 & get(int, int, all_83_74, all_83_76) = v2 & uni(v5) & % 28.80/4.73 | | | | uni(v4) & uni(v2) & uni(v0) & (v6 = v1 | ~ % 28.80/4.73 | | | | ($lesseq(all_83_89, 10))) & (v3 = v1 | ~ ($lesseq(11, % 28.80/4.73 | | | | all_83_89)))) % 28.80/4.73 | | | | % 28.80/4.73 | | | | BETA: splitting (185) gives: % 28.80/4.73 | | | | % 28.80/4.73 | | | | Case 1: % 28.80/4.73 | | | | | % 28.80/4.73 | | | | | (186) $lesseq(all_83_89, 5) % 28.80/4.73 | | | | | % 28.80/4.73 | | | | | REDUCE: (158), (186) imply: % 28.80/4.73 | | | | | (187) $false % 28.80/4.73 | | | | | % 28.80/4.73 | | | | | CLOSE: (187) is inconsistent. % 28.80/4.73 | | | | | % 28.80/4.73 | | | | Case 2: % 28.80/4.73 | | | | | % 28.80/4.73 | | | | | (188) ? [v0: uni] : ? [v1: int] : ? [v2: uni] : ? [v3: int] : % 28.80/4.73 | | | | | ? [v4: uni] : ? [v5: uni] : ? [v6: int] : (tb2t(v5) = v6 & % 28.80/4.73 | | | | | tb2t(v2) = v3 & tb2t(v0) = v1 & t2tb($difference(10, % 28.80/4.73 | | | | | all_83_89)) = v4 & get(int, int, all_83_66, all_83_76) % 28.80/4.73 | | | | | = v0 & get(int, int, all_83_72, v4) = v5 & get(int, int, % 28.80/4.73 | | | | | all_83_74, all_83_76) = v2 & uni(v5) & uni(v4) & uni(v2) % 28.80/4.73 | | | | | & uni(v0) & (v6 = v1 | ~ ($lesseq(all_83_89, 10))) & (v3 = % 28.80/4.73 | | | | | v1 | ~ ($lesseq(11, all_83_89)))) % 28.86/4.73 | | | | | % 28.86/4.73 | | | | | DELTA: instantiating (188) with fresh symbols all_195_0, all_195_1, % 28.86/4.73 | | | | | all_195_2, all_195_3, all_195_4, all_195_5, all_195_6 gives: % 28.86/4.73 | | | | | (189) tb2t(all_195_1) = all_195_0 & tb2t(all_195_4) = all_195_3 & % 28.86/4.73 | | | | | tb2t(all_195_6) = all_195_5 & t2tb($difference(10, % 28.86/4.73 | | | | | all_83_89)) = all_195_2 & get(int, int, all_83_66, % 28.86/4.73 | | | | | all_83_76) = all_195_6 & get(int, int, all_83_72, % 28.86/4.73 | | | | | all_195_2) = all_195_1 & get(int, int, all_83_74, % 28.86/4.73 | | | | | all_83_76) = all_195_4 & uni(all_195_1) & uni(all_195_2) & % 28.86/4.73 | | | | | uni(all_195_4) & uni(all_195_6) & (all_195_0 = all_195_5 | ~ % 28.86/4.73 | | | | | ($lesseq(all_83_89, 10))) & (all_195_3 = all_195_5 | ~ % 28.86/4.73 | | | | | ($lesseq(11, all_83_89))) % 28.86/4.73 | | | | | % 28.86/4.73 | | | | | ALPHA: (189) implies: % 28.86/4.73 | | | | | (190) get(int, int, all_83_72, all_195_2) = all_195_1 % 28.86/4.73 | | | | | (191) get(int, int, all_83_66, all_83_76) = all_195_6 % 28.86/4.73 | | | | | (192) t2tb($difference(10, all_83_89)) = all_195_2 % 28.86/4.74 | | | | | (193) tb2t(all_195_6) = all_195_5 % 28.86/4.74 | | | | | (194) tb2t(all_195_1) = all_195_0 % 28.86/4.74 | | | | | (195) all_195_0 = all_195_5 | ~ ($lesseq(all_83_89, 10)) % 28.86/4.74 | | | | | % 28.86/4.74 | | | | | REDUCE: (158), (192) imply: % 28.86/4.74 | | | | | (196) t2tb(0) = all_195_2 % 28.86/4.74 | | | | | % 28.86/4.74 | | | | | BETA: splitting (183) gives: % 28.86/4.74 | | | | | % 28.86/4.74 | | | | | Case 1: % 28.86/4.74 | | | | | | % 28.86/4.74 | | | | | | (197) $lesseq(all_83_89, 0) % 28.86/4.74 | | | | | | % 28.86/4.74 | | | | | | REDUCE: (158), (197) imply: % 28.86/4.74 | | | | | | (198) $false % 28.86/4.74 | | | | | | % 28.86/4.74 | | | | | | CLOSE: (198) is inconsistent. % 28.86/4.74 | | | | | | % 28.86/4.74 | | | | | Case 2: % 28.86/4.74 | | | | | | % 28.86/4.74 | | | | | | (199) ? [v0: uni] : ? [v1: uni] : ? [v2: int] : ? [v3: uni] : % 28.86/4.74 | | | | | | ? [v4: int] : ? [v5: uni] : (tb2t(v5) = v2 & tb2t(v3) = % 28.86/4.74 | | | | | | v4 & tb2t(v1) = v2 & t2tb(all_83_89) = v0 & get(int, int, % 28.86/4.74 | | | | | | all_83_66, v0) = v1 & get(int, int, all_83_72, % 28.86/4.74 | | | | | | all_83_91) = v5 & get(int, int, all_83_74, v0) = v3 & % 28.86/4.74 | | | | | | uni(v5) & uni(v3) & uni(v1) & uni(v0)) % 28.86/4.74 | | | | | | % 28.86/4.74 | | | | | | DELTA: instantiating (199) with fresh symbols all_200_0, all_200_1, % 28.86/4.74 | | | | | | all_200_2, all_200_3, all_200_4, all_200_5 gives: % 28.86/4.74 | | | | | | (200) tb2t(all_200_0) = all_200_3 & tb2t(all_200_2) = all_200_1 & % 28.86/4.74 | | | | | | tb2t(all_200_4) = all_200_3 & t2tb(all_83_89) = all_200_5 & % 28.86/4.74 | | | | | | get(int, int, all_83_66, all_200_5) = all_200_4 & get(int, % 28.86/4.74 | | | | | | int, all_83_72, all_83_91) = all_200_0 & get(int, int, % 28.86/4.74 | | | | | | all_83_74, all_200_5) = all_200_2 & uni(all_200_0) & % 28.86/4.74 | | | | | | uni(all_200_2) & uni(all_200_4) & uni(all_200_5) % 28.86/4.74 | | | | | | % 28.86/4.74 | | | | | | ALPHA: (200) implies: % 28.86/4.74 | | | | | | (201) get(int, int, all_83_72, all_83_91) = all_200_0 % 28.86/4.74 | | | | | | (202) get(int, int, all_83_66, all_200_5) = all_200_4 % 28.86/4.74 | | | | | | (203) t2tb(all_83_89) = all_200_5 % 28.86/4.74 | | | | | | (204) tb2t(all_200_4) = all_200_3 % 28.86/4.74 | | | | | | (205) tb2t(all_200_0) = all_200_3 % 28.86/4.74 | | | | | | % 28.86/4.74 | | | | | | REDUCE: (158), (203) imply: % 28.86/4.74 | | | | | | (206) t2tb(10) = all_200_5 % 28.86/4.74 | | | | | | % 28.86/4.74 | | | | | | BETA: splitting (184) gives: % 28.86/4.74 | | | | | | % 28.86/4.74 | | | | | | Case 1: % 28.86/4.74 | | | | | | | % 28.86/4.74 | | | | | | | (207) $lesseq(all_83_89, 0) % 28.86/4.74 | | | | | | | % 28.86/4.74 | | | | | | | REDUCE: (158), (207) imply: % 28.86/4.74 | | | | | | | (208) $false % 28.86/4.74 | | | | | | | % 28.86/4.74 | | | | | | | CLOSE: (208) is inconsistent. % 28.86/4.74 | | | | | | | % 28.86/4.74 | | | | | | Case 2: % 28.86/4.74 | | | | | | | % 28.86/4.74 | | | | | | | (209) ? [v0: uni] : ? [v1: int] : ? [v2: uni] : ? [v3: uni] % 28.86/4.74 | | | | | | | : ? [v4: uni] : ? [v5: int] : (tb2t(v4) = v5 & tb2t(v2) % 28.86/4.74 | | | | | | | = v1 & tb2t(v0) = v1 & t2tb($product(-1, all_83_89)) = % 28.86/4.74 | | | | | | | v3 & get(int, int, all_83_66, all_83_91) = v0 & % 28.86/4.74 | | | | | | | get(int, int, all_83_72, v3) = v4 & get(int, int, % 28.86/4.74 | | | | | | | all_83_74, all_83_91) = v2 & uni(v4) & uni(v3) & % 28.86/4.74 | | | | | | | uni(v2) & uni(v0)) % 28.86/4.74 | | | | | | | % 28.86/4.74 | | | | | | | DELTA: instantiating (209) with fresh symbols all_205_0, % 28.86/4.74 | | | | | | | all_205_1, all_205_2, all_205_3, all_205_4, all_205_5 % 28.86/4.74 | | | | | | | gives: % 28.86/4.74 | | | | | | | (210) tb2t(all_205_1) = all_205_0 & tb2t(all_205_3) = all_205_4 % 28.86/4.74 | | | | | | | & tb2t(all_205_5) = all_205_4 & t2tb($product(-1, % 28.86/4.74 | | | | | | | all_83_89)) = all_205_2 & get(int, int, all_83_66, % 28.86/4.74 | | | | | | | all_83_91) = all_205_5 & get(int, int, all_83_72, % 28.86/4.74 | | | | | | | all_205_2) = all_205_1 & get(int, int, all_83_74, % 28.86/4.74 | | | | | | | all_83_91) = all_205_3 & uni(all_205_1) & % 28.86/4.74 | | | | | | | uni(all_205_2) & uni(all_205_3) & uni(all_205_5) % 28.86/4.74 | | | | | | | % 28.86/4.74 | | | | | | | ALPHA: (210) implies: % 28.86/4.74 | | | | | | | (211) get(int, int, all_83_74, all_83_91) = all_205_3 % 28.86/4.74 | | | | | | | (212) get(int, int, all_83_66, all_83_91) = all_205_5 % 28.86/4.74 | | | | | | | (213) tb2t(all_205_5) = all_205_4 % 28.86/4.74 | | | | | | | (214) tb2t(all_205_3) = all_205_4 % 28.86/4.74 | | | | | | | % 28.86/4.74 | | | | | | | BETA: splitting (195) gives: % 28.86/4.74 | | | | | | | % 28.86/4.74 | | | | | | | Case 1: % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | (215) $lesseq(11, all_83_89) % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | REDUCE: (158), (215) imply: % 28.86/4.74 | | | | | | | | (216) $false % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | CLOSE: (216) is inconsistent. % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | Case 2: % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | (217) all_195_0 = all_195_5 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | REDUCE: (194), (217) imply: % 28.86/4.74 | | | | | | | | (218) tb2t(all_195_1) = all_195_5 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | GROUND_INST: instantiating (20) with all_83_71, all_200_0, % 28.86/4.74 | | | | | | | | all_83_91, all_83_72, int, int, simplifying with % 28.86/4.74 | | | | | | | | (171), (201) gives: % 28.86/4.74 | | | | | | | | (219) all_200_0 = all_83_71 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | GROUND_INST: instantiating (20) with all_83_65, all_205_5, % 28.86/4.74 | | | | | | | | all_83_91, all_83_66, int, int, simplifying with % 28.86/4.74 | | | | | | | | (172), (212) gives: % 28.86/4.74 | | | | | | | | (220) all_205_5 = all_83_65 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | GROUND_INST: instantiating (20) with all_83_63, all_195_6, % 28.86/4.74 | | | | | | | | all_83_76, all_83_66, int, int, simplifying with % 28.86/4.74 | | | | | | | | (173), (191) gives: % 28.86/4.74 | | | | | | | | (221) all_195_6 = all_83_63 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | GROUND_INST: instantiating (11) with all_83_91, all_195_2, 0, % 28.86/4.74 | | | | | | | | simplifying with (37), (196) gives: % 28.86/4.74 | | | | | | | | (222) all_195_2 = all_83_91 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | GROUND_INST: instantiating (11) with all_83_76, all_200_5, 10, % 28.86/4.74 | | | | | | | | simplifying with (38), (206) gives: % 28.86/4.74 | | | | | | | | (223) all_200_5 = all_83_76 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | GROUND_INST: instantiating (11) with all_83_91, all_83_51, % 28.86/4.74 | | | | | | | | all_83_84, simplifying with (166), (174) gives: % 28.86/4.74 | | | | | | | | (224) all_83_51 = all_83_91 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | GROUND_INST: instantiating (13) with all_83_81, all_83_74, % 28.86/4.74 | | | | | | | | all_83_80, simplifying with (71), (178) gives: % 28.86/4.74 | | | | | | | | (225) all_83_74 = all_83_81 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | GROUND_INST: instantiating (13) with all_83_78, all_83_72, % 28.86/4.74 | | | | | | | | all_83_77, simplifying with (72), (179) gives: % 28.86/4.74 | | | | | | | | (226) all_83_72 = all_83_78 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | REDUCE: (213), (220) imply: % 28.86/4.74 | | | | | | | | (227) tb2t(all_83_65) = all_205_4 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | REDUCE: (205), (219) imply: % 28.86/4.74 | | | | | | | | (228) tb2t(all_83_71) = all_200_3 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | REDUCE: (193), (221) imply: % 28.86/4.74 | | | | | | | | (229) tb2t(all_83_63) = all_195_5 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | REDUCE: (202), (223) imply: % 28.86/4.74 | | | | | | | | (230) get(int, int, all_83_66, all_83_76) = all_200_4 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | REDUCE: (190), (222), (226) imply: % 28.86/4.74 | | | | | | | | (231) get(int, int, all_83_78, all_83_91) = all_195_1 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | REDUCE: (171), (226) imply: % 28.86/4.74 | | | | | | | | (232) get(int, int, all_83_78, all_83_91) = all_83_71 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | REDUCE: (211), (225) imply: % 28.86/4.74 | | | | | | | | (233) get(int, int, all_83_81, all_83_91) = all_205_3 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | GROUND_INST: instantiating (20) with all_83_71, all_195_1, % 28.86/4.74 | | | | | | | | all_83_91, all_83_78, int, int, simplifying with % 28.86/4.74 | | | | | | | | (231), (232) gives: % 28.86/4.74 | | | | | | | | (234) all_195_1 = all_83_71 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | GROUND_INST: instantiating (20) with all_83_63, all_200_4, % 28.86/4.74 | | | | | | | | all_83_76, all_83_66, int, int, simplifying with % 28.86/4.74 | | | | | | | | (173), (230) gives: % 28.86/4.74 | | | | | | | | (235) all_200_4 = all_83_63 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | GROUND_INST: instantiating (12) with all_83_70, all_200_3, % 28.86/4.74 | | | | | | | | all_83_71, simplifying with (175), (228) gives: % 28.86/4.74 | | | | | | | | (236) all_200_3 = all_83_70 % 28.86/4.74 | | | | | | | | % 28.86/4.74 | | | | | | | | GROUND_INST: instantiating (12) with all_83_64, all_205_4, % 28.86/4.74 | | | | | | | | all_83_65, simplifying with (176), (227) gives: % 28.86/4.74 | | | | | | | | (237) all_205_4 = all_83_64 % 28.86/4.75 | | | | | | | | % 28.86/4.75 | | | | | | | | GROUND_INST: instantiating (12) with all_83_62, all_195_5, % 28.86/4.75 | | | | | | | | all_83_63, simplifying with (177), (229) gives: % 28.86/4.75 | | | | | | | | (238) all_195_5 = all_83_62 % 28.86/4.75 | | | | | | | | % 28.86/4.75 | | | | | | | | REDUCE: (214), (237) imply: % 28.86/4.75 | | | | | | | | (239) tb2t(all_205_3) = all_83_64 % 28.86/4.75 | | | | | | | | % 28.86/4.75 | | | | | | | | REDUCE: (204), (235), (236) imply: % 28.86/4.75 | | | | | | | | (240) tb2t(all_83_63) = all_83_70 % 28.86/4.75 | | | | | | | | % 28.86/4.75 | | | | | | | | REDUCE: (218), (234), (238) imply: % 28.86/4.75 | | | | | | | | (241) tb2t(all_83_71) = all_83_62 % 28.86/4.75 | | | | | | | | % 28.86/4.75 | | | | | | | | GROUND_INST: instantiating (12) with all_83_62, all_83_70, % 28.86/4.75 | | | | | | | | all_83_63, simplifying with (177), (240) gives: % 28.86/4.75 | | | | | | | | (242) all_83_62 = all_83_70 % 28.86/4.75 | | | | | | | | % 28.86/4.75 | | | | | | | | GROUND_INST: instantiating (select_eq) with int, int, all_83_86, % 28.86/4.75 | | | | | | | | all_83_91, all_83_82, all_83_81, all_205_3, % 28.86/4.75 | | | | | | | | simplifying with (9), (22), (25), (32), (131), % 28.86/4.75 | | | | | | | | (233) gives: % 28.86/4.75 | | | | | | | | (243) all_205_3 = all_83_82 | ? [v0: int] : ( ~ (v0 = 0) & % 28.86/4.75 | | | | | | | | sort1(int, all_83_82) = v0) % 28.86/4.75 | | | | | | | | % 28.86/4.75 | | | | | | | | GROUND_INST: instantiating (select_eq) with int, int, all_83_86, % 28.86/4.75 | | | | | | | | all_83_91, all_83_79, all_83_78, all_83_71, % 28.86/4.75 | | | | | | | | simplifying with (9), (22), (27), (33), (131), % 28.86/4.75 | | | | | | | | (232) gives: % 28.86/4.75 | | | | | | | | (244) all_83_71 = all_83_79 | ? [v0: int] : ( ~ (v0 = 0) & % 28.86/4.75 | | | | | | | | sort1(int, all_83_79) = v0) % 28.86/4.75 | | | | | | | | % 28.86/4.75 | | | | | | | | BETA: splitting (243) gives: % 28.86/4.75 | | | | | | | | % 28.86/4.75 | | | | | | | | Case 1: % 28.86/4.75 | | | | | | | | | % 28.86/4.75 | | | | | | | | | (245) all_205_3 = all_83_82 % 28.86/4.75 | | | | | | | | | % 28.86/4.75 | | | | | | | | | REDUCE: (239), (245) imply: % 28.86/4.75 | | | | | | | | | (246) tb2t(all_83_82) = all_83_64 % 28.86/4.75 | | | | | | | | | % 28.86/4.75 | | | | | | | | | BETA: splitting (244) gives: % 28.86/4.75 | | | | | | | | | % 28.86/4.75 | | | | | | | | | Case 1: % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | (247) all_83_71 = all_83_79 % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | REDUCE: (175), (247) imply: % 28.86/4.75 | | | | | | | | | | (248) tb2t(all_83_79) = all_83_70 % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | GROUND_INST: instantiating (12) with 17, all_83_64, all_83_82, % 28.86/4.75 | | | | | | | | | | simplifying with (58), (246) gives: % 28.86/4.75 | | | | | | | | | | (249) all_83_64 = 17 % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | GROUND_INST: instantiating (12) with 42, all_83_70, all_83_79, % 28.86/4.75 | | | | | | | | | | simplifying with (60), (248) gives: % 28.86/4.75 | | | | | | | | | | (250) all_83_70 = 42 % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | COMBINE_EQS: (242), (250) imply: % 28.86/4.75 | | | | | | | | | | (251) all_83_62 = 42 % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | BETA: splitting (180) gives: % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | Case 1: % 28.86/4.75 | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | (252) ~ (all_83_62 = 42) % 28.86/4.75 | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | REDUCE: (251), (252) imply: % 28.86/4.75 | | | | | | | | | | | (253) $false % 28.86/4.75 | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | CLOSE: (253) is inconsistent. % 28.86/4.75 | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | Case 2: % 28.86/4.75 | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | (254) ~ (all_83_64 = 17) | ~ (all_83_70 = 42) | ~ % 28.86/4.75 | | | | | | | | | | | (all_83_89 = 10) % 28.86/4.75 | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | BETA: splitting (254) gives: % 28.86/4.75 | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | Case 1: % 28.86/4.75 | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | (255) ~ (all_83_64 = 17) % 28.86/4.75 | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | REDUCE: (249), (255) imply: % 28.86/4.75 | | | | | | | | | | | | (256) $false % 28.86/4.75 | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | CLOSE: (256) is inconsistent. % 28.86/4.75 | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | Case 2: % 28.86/4.75 | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | (257) ~ (all_83_70 = 42) | ~ (all_83_89 = 10) % 28.86/4.75 | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | BETA: splitting (257) gives: % 28.86/4.75 | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | Case 1: % 28.86/4.75 | | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | | (258) ~ (all_83_70 = 42) % 28.86/4.75 | | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | | REDUCE: (250), (258) imply: % 28.86/4.75 | | | | | | | | | | | | | (259) $false % 28.86/4.75 | | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | | CLOSE: (259) is inconsistent. % 28.86/4.75 | | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | Case 2: % 28.86/4.75 | | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | | (260) ~ (all_83_89 = 10) % 28.86/4.75 | | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | | REDUCE: (158), (260) imply: % 28.86/4.75 | | | | | | | | | | | | | (261) $false % 28.86/4.75 | | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | | CLOSE: (261) is inconsistent. % 28.86/4.75 | | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | | End of split % 28.86/4.75 | | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | | End of split % 28.86/4.75 | | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | End of split % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | Case 2: % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | (262) ? [v0: int] : ( ~ (v0 = 0) & sort1(int, all_83_79) % 28.86/4.75 | | | | | | | | | | = v0) % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | DELTA: instantiating (262) with fresh symbol all_324_0 % 28.86/4.75 | | | | | | | | | | gives: % 28.86/4.75 | | | | | | | | | | (263) ~ (all_324_0 = 0) & sort1(int, all_83_79) = % 28.86/4.75 | | | | | | | | | | all_324_0 % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | ALPHA: (263) implies: % 28.86/4.75 | | | | | | | | | | (264) ~ (all_324_0 = 0) % 28.86/4.75 | | | | | | | | | | (265) sort1(int, all_83_79) = all_324_0 % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_324_0, all_83_79, % 28.86/4.75 | | | | | | | | | | int, simplifying with (61), (265) gives: % 28.86/4.75 | | | | | | | | | | (266) all_324_0 = 0 % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | REDUCE: (264), (266) imply: % 28.86/4.75 | | | | | | | | | | (267) $false % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | | CLOSE: (267) is inconsistent. % 28.86/4.75 | | | | | | | | | | % 28.86/4.75 | | | | | | | | | End of split % 28.86/4.75 | | | | | | | | | % 28.86/4.75 | | | | | | | | Case 2: % 28.86/4.75 | | | | | | | | | % 28.86/4.75 | | | | | | | | | (268) ? [v0: int] : ( ~ (v0 = 0) & sort1(int, all_83_82) = % 28.86/4.75 | | | | | | | | | v0) % 28.86/4.75 | | | | | | | | | % 28.86/4.75 | | | | | | | | | DELTA: instantiating (268) with fresh symbol all_309_0 gives: % 28.86/4.75 | | | | | | | | | (269) ~ (all_309_0 = 0) & sort1(int, all_83_82) = % 28.86/4.75 | | | | | | | | | all_309_0 % 28.86/4.75 | | | | | | | | | % 28.86/4.75 | | | | | | | | | ALPHA: (269) implies: % 28.86/4.75 | | | | | | | | | (270) ~ (all_309_0 = 0) % 28.86/4.75 | | | | | | | | | (271) sort1(int, all_83_82) = all_309_0 % 28.86/4.75 | | | | | | | | | % 28.86/4.75 | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_309_0, all_83_82, % 28.86/4.75 | | | | | | | | | int, simplifying with (59), (271) gives: % 28.86/4.75 | | | | | | | | | (272) all_309_0 = 0 % 28.86/4.75 | | | | | | | | | % 28.86/4.75 | | | | | | | | | REDUCE: (270), (272) imply: % 28.86/4.75 | | | | | | | | | (273) $false % 28.86/4.75 | | | | | | | | | % 28.86/4.75 | | | | | | | | | CLOSE: (273) is inconsistent. % 28.86/4.75 | | | | | | | | | % 28.86/4.75 | | | | | | | | End of split % 28.86/4.75 | | | | | | | | % 28.86/4.75 | | | | | | | End of split % 28.86/4.75 | | | | | | | % 28.86/4.75 | | | | | | End of split % 28.86/4.75 | | | | | | % 28.86/4.75 | | | | | End of split % 28.86/4.75 | | | | | % 28.86/4.75 | | | | End of split % 28.86/4.75 | | | | % 28.86/4.75 | | | End of split % 28.86/4.75 | | | % 28.86/4.75 | | End of split % 28.86/4.75 | | % 28.86/4.75 | End of split % 28.86/4.75 | % 28.86/4.75 End of proof % 28.86/4.75 % SZS output end Proof for theBenchmark % 28.86/4.75 % 28.86/4.75 4142ms %------------------------------------------------------------------------------